id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
1,801.10569 | A polymer based phononic crystal | A versatile system to construct polymeric phononic crystals by using
ultrasound is described. In order to fabricate this material a customised
cavity device fitted with a 2 MHz acoustic transducer and an acoustic reflector
is employed for standing wave creation in the device chamber. The polymer
crystal is formed when the standing waves are created during the polymerisation
process. The resulting crystals are reproduced in the shape of the tunable
cavity device, and add unique periodic features. Their separation is related to
the applied acoustic wave frequency during the fabrication process and their
composition was found to be made up to two material phases. To assess the
acoustic properties of the polymer crystals their average acoustic velocity is
measured relative to monomer solutions of different concentrations. It is
demonstrated that one of the signature characteristics of phononic crystal, the
slow wave effect, was expressed by the polymer. Furthermore the thickness of a
unit cell is analysed from images obtained from an optical microscope. By
knowing the thickness the average acoustic velocity is calculated to be 1538
m/s when the monomer/cross-linker concentration is 1.5 M. This numerical
calculation closely agrees with the predicted value for this
monomer/crosslinker concentration of 1536 m/s. This work provides a methodology
for accessing a new type of adaptable phononic crystal based on flexible
polymers.
| physics.app-ph | a versatile system to construct polymeric phononic crystals by using ultrasound is described in order to fabricate this material a customised cavity device fitted with a 2 mhz acoustic transducer and an acoustic reflector is employed for standing wave creation in the device chamber the polymer crystal is formed when the standing waves are created during the polymerisation process the resulting crystals are reproduced in the shape of the tunable cavity device and add unique periodic features their separation is related to the applied acoustic wave frequency during the fabrication process and their composition was found to be made up to two material phases to assess the acoustic properties of the polymer crystals their average acoustic velocity is measured relative to monomer solutions of different concentrations it is demonstrated that one of the signature characteristics of phononic crystal the slow wave effect was expressed by the polymer furthermore the thickness of a unit cell is analysed from images obtained from an optical microscope by knowing the thickness the average acoustic velocity is calculated to be 1538 ms when the monomercrosslinker concentration is 15 m this numerical calculation closely agrees with the predicted value for this monomercrosslinker concentration of 1536 ms this work provides a methodology for accessing a new type of adaptable phononic crystal based on flexible polymers | [['a', 'versatile', 'system', 'to', 'construct', 'polymeric', 'phononic', 'crystals', 'by', 'using', 'ultrasound', 'is', 'described', 'in', 'order', 'to', 'fabricate', 'this', 'material', 'a', 'customised', 'cavity', 'device', 'fitted', 'with', 'a', '2', 'mhz', 'acoustic', 'transducer', 'and', 'an', 'acoustic', 'reflector', 'is', 'employed', 'for', 'standing', 'wave', 'creation', 'in', 'the', 'device', 'chamber', 'the', 'polymer', 'crystal', 'is', 'formed', 'when', 'the', 'standing', 'waves', 'are', 'created', 'during', 'the', 'polymerisation', 'process', 'the', 'resulting', 'crystals', 'are', 'reproduced', 'in', 'the', 'shape', 'of', 'the', 'tunable', 'cavity', 'device', 'and', 'add', 'unique', 'periodic', 'features', 'their', 'separation', 'is', 'related', 'to', 'the', 'applied', 'acoustic', 'wave', 'frequency', 'during', 'the', 'fabrication', 'process', 'and', 'their', 'composition', 'was', 'found', 'to', 'be', 'made', 'up', 'to', 'two', 'material', 'phases', 'to', 'assess', 'the', 'acoustic', 'properties', 'of', 'the', 'polymer', 'crystals', 'their', 'average', 'acoustic', 'velocity', 'is', 'measured', 'relative', 'to', 'monomer', 'solutions', 'of', 'different', 'concentrations', 'it', 'is', 'demonstrated', 'that', 'one', 'of', 'the', 'signature', 'characteristics', 'of', 'phononic', 'crystal', 'the', 'slow', 'wave', 'effect', 'was', 'expressed', 'by', 'the', 'polymer', 'furthermore', 'the', 'thickness', 'of', 'a', 'unit', 'cell', 'is', 'analysed', 'from', 'images', 'obtained', 'from', 'an', 'optical', 'microscope', 'by', 'knowing', 'the', 'thickness', 'the', 'average', 'acoustic', 'velocity', 'is', 'calculated', 'to', 'be', '1538', 'ms', 'when', 'the', 'monomercrosslinker', 'concentration', 'is', '15', 'm', 'this', 'numerical', 'calculation', 'closely', 'agrees', 'with', 'the', 'predicted', 'value', 'for', 'this', 'monomercrosslinker', 'concentration', 'of', '1536', 'ms', 'this', 'work', 'provides', 'a', 'methodology', 'for', 'accessing', 'a', 'new', 'type', 'of', 'adaptable', 'phononic', 'crystal', 'based', 'on', 'flexible', 'polymers']] | [-0.1134300335198296, 0.1652815498087471, -0.05629886034384307, -0.04258828713114714, -0.07284501866174482, -0.14259577086798986, 0.01653035946354201, 0.4270512939223813, -0.2752275411707901, -0.28388095932529755, 0.07418435328037487, -0.26823802356590964, -0.09512006077070341, 0.2398997151877093, -0.0022360669035050604, 0.06819871296519758, 0.02519363162638102, -0.004261030692658905, -0.029032865288576834, -0.1542937161898913, 0.22334994738641265, 0.07573498885957869, 0.33078737900143973, 0.019568739724086806, 0.10956566456567358, -0.031425889278546455, 0.023786446484909567, 0.00904668819512827, -0.15444502715982472, 0.10361188642700317, 0.2453681721602118, 0.006213117502974691, 0.21465166771344635, -0.441556396450054, -0.24639494296301295, 0.0008387027709330949, 0.12963644134988836, 0.14078604587767687, -0.05269805858767574, -0.27039179481626313, 0.09126172331377382, -0.12656345164631838, -0.17083229211857542, -0.0038844504721324753, 0.011862571086600871, 0.03600630534519614, -0.21146561488233231, 0.07277119841590454, 0.005390270280225162, 0.04197097124523242, -0.08779623086189127, -0.07305718324399398, -0.035790621948695776, 0.08591079273443299, -0.0018427482069388065, 0.03018980830502524, 0.19862203970896425, -0.07913017844031048, -0.05166709887271281, 0.40675382867145043, -0.050349678720791685, -0.16470064852641103, 0.15879276702320635, -0.12906848540626892, 0.0031593704000072277, 0.18830271721257036, 0.15175430192337241, 0.08061936694732005, -0.1653649740836516, -0.008263451798248516, 0.0002880477180345527, 0.24101288975927876, 0.13944681999877234, 0.0075711409822192596, 0.2166261320580142, 0.2217747351155763, -0.018912321642144687, 0.182479615571706, -0.11471543890987353, 0.024921668915474718, -0.22510298535969384, -0.1698143167417988, -0.23162036863828284, 0.03132874673482783, -0.07116183150470466, -0.18847916752565652, 0.4134091212483192, 0.09828814642592247, 0.1594030472290426, -0.005385817429568205, 0.2547822078189778, 0.09291433651621143, 0.10695287001133827, -0.005863192450272402, 0.270587213088422, 0.16080580063647143, 0.14198425661608646, -0.2613088350906899, 0.06803623040172237, 0.015162089156176619] |
1,801.1057 | Embeddings for spaces of Lorentz-Sobolev type | The purpose of this paper is to characterize all embeddings for versions of
Besov and Triebel-Lizorkin spaces where the underlying Lebesgue space metric is
replaced by a Lorentz space metric. We include two appendices, one on the
relation between classes of endpoint Mikhlin-H\"ormander type Fourier
multipliers, and one on the constant in the triangle inequality for the spaces
$L^{p,r} $ when $p<1$.
| math.FA math.CA | the purpose of this paper is to characterize all embeddings for versions of besov and triebellizorkin spaces where the underlying lebesgue space metric is replaced by a lorentz space metric we include two appendices one on the relation between classes of endpoint mikhlinhormander type fourier multipliers and one on the constant in the triangle inequality for the spaces lpr when p1 | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'characterize', 'all', 'embeddings', 'for', 'versions', 'of', 'besov', 'and', 'triebellizorkin', 'spaces', 'where', 'the', 'underlying', 'lebesgue', 'space', 'metric', 'is', 'replaced', 'by', 'a', 'lorentz', 'space', 'metric', 'we', 'include', 'two', 'appendices', 'one', 'on', 'the', 'relation', 'between', 'classes', 'of', 'endpoint', 'mikhlinhormander', 'type', 'fourier', 'multipliers', 'and', 'one', 'on', 'the', 'constant', 'in', 'the', 'triangle', 'inequality', 'for', 'the', 'spaces', 'lpr', 'when', 'p1']] | [-0.09150589032472707, 0.10484059680955576, -0.024861841386214632, 0.15877515015948077, -0.08496480909954818, -0.11045015662084104, -0.007078467183135694, 0.3619268924364301, -0.3134291952964468, -0.17181236247272522, 0.15990235347903836, -0.2979007166367574, -0.1025516217360731, 0.24939448125355068, -0.11753599783863689, 0.0385887729095631, -0.010959138330377515, 0.06632793141284683, -0.1377356825892615, -0.2726085456546213, 0.5000384182470744, -0.0691876644268632, 0.23582158610224724, -0.0022785507875387784, 0.07239019525710677, 0.03138466729003875, -0.039375002419606585, -0.004971500655033122, -0.19317169371442716, 0.1697252512657557, 0.20963687415341617, 0.08124366143077123, 0.29093736107079465, -0.33188197447261847, -0.17560329946277084, 0.2088871447705343, 0.08755169788539624, -0.08126532810083667, 0.014764326071122387, -0.30401246023715517, 0.04520020193466153, -0.06710770634598419, -0.10613222866792416, -0.08220975097940593, 0.02466730883375543, 0.032342998310923576, -0.2858656001750563, 0.0330825808503833, 0.10773918681518464, 0.02101943809081052, -0.16024464114233242, -0.071752541530572, 0.06513588731062644, 0.08792026595977807, 0.027600895324302075, 0.10113110434508225, 0.03110955776952085, -0.04378167560446213, -0.09402310083330166, 0.37885509122956973, -0.02527816290585477, -0.31773522799284976, 0.11261304887011647, -0.18964016311191267, -0.16243052796353816, 0.006182179099223653, 0.1255086071667124, 0.11187928092864449, -0.10215198694175819, 0.19170765392673125, -0.02575992762309606, 0.1154958587063507, 0.12688825436730367, 0.06798440033997424, 0.052425782898532565, 0.08710477746580346, 0.16852207439111883, 0.13495931505525224, -0.0506898433115089, -0.08082821522266834, -0.3930836033808892, -0.23794850345307839, -0.19248277197981284, 0.020615431086969425, -0.16650438064386777, -0.1669648325101274, 0.3762175642320367, 0.041346407327495636, 0.17251477443964267, 0.0728402368144178, 0.22442125684780176, 0.04008453302696103, 0.026529929375459182, 0.061020722933357856, 0.19508184091050607, 0.15446550866634753, 0.09571818630287393, -0.1037300264172506, 0.009472654483540625, 0.27056724350655176] |
1,801.10571 | Naive Bayes Entrapment Detection for Planetary Rovers | Entrapment detection is a prerequisite for planetary rovers to perform
autonomous rescue procedure. In this study, rover entrapment and approximated
entrapment criteria are formally defined. Entrapment detection using Naive
Bayes classifiers is proposed and discussed along with results from experiments
where the Naive Bayes entrapment detector is applied to AutoKralwer rovers. And
final conclusions and further discussions are presented in the final section.
| cs.RO cs.LG | entrapment detection is a prerequisite for planetary rovers to perform autonomous rescue procedure in this study rover entrapment and approximated entrapment criteria are formally defined entrapment detection using naive bayes classifiers is proposed and discussed along with results from experiments where the naive bayes entrapment detector is applied to autokralwer rovers and final conclusions and further discussions are presented in the final section | [['entrapment', 'detection', 'is', 'a', 'prerequisite', 'for', 'planetary', 'rovers', 'to', 'perform', 'autonomous', 'rescue', 'procedure', 'in', 'this', 'study', 'rover', 'entrapment', 'and', 'approximated', 'entrapment', 'criteria', 'are', 'formally', 'defined', 'entrapment', 'detection', 'using', 'naive', 'bayes', 'classifiers', 'is', 'proposed', 'and', 'discussed', 'along', 'with', 'results', 'from', 'experiments', 'where', 'the', 'naive', 'bayes', 'entrapment', 'detector', 'is', 'applied', 'to', 'autokralwer', 'rovers', 'and', 'final', 'conclusions', 'and', 'further', 'discussions', 'are', 'presented', 'in', 'the', 'final', 'section']] | [-0.042407054536705534, 0.081782698263264, -0.08436656508955263, 0.0815179907574108, -0.04612981614416405, -0.14464889294768293, 0.08295854574610148, 0.36263803264967376, -0.19051179693891637, -0.31652508081207353, 0.113726380344991, -0.28053404078368216, -0.18403466114954603, 0.21600847241033108, -0.11737337214271387, 0.08761920299260847, 0.1568222531500543, -0.005142841630825593, -0.01880384212540042, -0.2671266772348674, 0.23368926172054583, 0.11758357110703664, 0.2997471796528947, 0.0857803338778115, 0.07661179094124705, 0.02035936558733679, -0.029422896538650798, 0.024017735557149974, -0.10693250643840481, 0.08445769187153107, 0.3302034580471715, 0.2109475106661839, 0.24992992867144845, -0.3991432315820167, -0.15170172776185697, 0.05780817825166929, 0.14016356953089276, 0.07972369185693923, -0.03359626899468675, -0.3655431954370391, 0.06985160317872802, -0.19982154012447403, -0.117476032611223, -0.11853152860496793, -0.020621400356533065, -0.02152103941414445, -0.3060364569687555, 0.04087612319422225, 0.04690920518741252, 0.09618879878713239, -0.11196299308850881, -0.12919866681219108, -0.016833498473128965, 0.10879721403151991, 0.05281710948028992, 0.03686096977757951, 0.23014198757347562, -0.1003091934910645, -0.16254378937751865, 0.38662670264320986, -0.019117901462220376, -0.24202709579314555, 0.2084413880347124, -0.0562723598503057, -0.09473022111811705, 0.13586027031734346, 0.21936597523369616, 0.1129251107040252, -0.18801378175586222, -0.04063911215146823, 0.022803513558521386, 0.09262091366033401, 0.05698874629958863, -0.10006102119692631, 0.19728446153983956, 0.26104205867816366, 0.07034582889548713, 0.1209082064376543, -0.15264497384909662, -0.11626572606544341, -0.29271150616207914, -0.1641173639274653, -0.1253557982403905, 0.003206472851396088, 0.019587399491537063, -0.11274419688890057, 0.26102937273906485, 0.1897710686579587, 0.17569914126708622, 0.008595898371910857, 0.3324300119232747, 0.06595218424955683, 0.046182781117515274, 0.055669159230385575, 0.320817100545091, 0.07156030893806488, 0.014899785435127636, -0.15752366902081355, 0.10431760709334706, 0.06142054468904051] |
1,801.10572 | Finite-temperature dynamic structure factor of the spin-1 XXZ chain with
single-ion anisotropy | Improving matrix-product state techniques based on the purification of the
density matrix, we are able to accurately calculate the finite-temperature
dynamic response of the infinite spin-1 XXZ chain with single-ion anisotropy in
the Haldane, large-$D$ and antiferromagnetic phases. Distinct thermally
activated scattering processes make a significant contribution to the spectral
weight in all cases. In the Haldane phase intraband magnon scattering is
prominent, and the onsite anisotropy causes the magnon to split into singlet
and doublet branches. In the large-$D$ phase response, the intraband signal is
separated from an exciton-antiexciton continuum. In the antiferromagnetic
phase, holons are the lowest-lying excitations, with a gap that closes at the
transition to the Haldane state. At finite temperatures, scattering between
domain-wall excitations becomes especially important and strongly enhances the
spectral weight for momentum transfer $\pi$.
| cond-mat.str-el | improving matrixproduct state techniques based on the purification of the density matrix we are able to accurately calculate the finitetemperature dynamic response of the infinite spin1 xxz chain with singleion anisotropy in the haldane larged and antiferromagnetic phases distinct thermally activated scattering processes make a significant contribution to the spectral weight in all cases in the haldane phase intraband magnon scattering is prominent and the onsite anisotropy causes the magnon to split into singlet and doublet branches in the larged phase response the intraband signal is separated from an excitonantiexciton continuum in the antiferromagnetic phase holons are the lowestlying excitations with a gap that closes at the transition to the haldane state at finite temperatures scattering between domainwall excitations becomes especially important and strongly enhances the spectral weight for momentum transfer pi | [['improving', 'matrixproduct', 'state', 'techniques', 'based', 'on', 'the', 'purification', 'of', 'the', 'density', 'matrix', 'we', 'are', 'able', 'to', 'accurately', 'calculate', 'the', 'finitetemperature', 'dynamic', 'response', 'of', 'the', 'infinite', 'spin1', 'xxz', 'chain', 'with', 'singleion', 'anisotropy', 'in', 'the', 'haldane', 'larged', 'and', 'antiferromagnetic', 'phases', 'distinct', 'thermally', 'activated', 'scattering', 'processes', 'make', 'a', 'significant', 'contribution', 'to', 'the', 'spectral', 'weight', 'in', 'all', 'cases', 'in', 'the', 'haldane', 'phase', 'intraband', 'magnon', 'scattering', 'is', 'prominent', 'and', 'the', 'onsite', 'anisotropy', 'causes', 'the', 'magnon', 'to', 'split', 'into', 'singlet', 'and', 'doublet', 'branches', 'in', 'the', 'larged', 'phase', 'response', 'the', 'intraband', 'signal', 'is', 'separated', 'from', 'an', 'excitonantiexciton', 'continuum', 'in', 'the', 'antiferromagnetic', 'phase', 'holons', 'are', 'the', 'lowestlying', 'excitations', 'with', 'a', 'gap', 'that', 'closes', 'at', 'the', 'transition', 'to', 'the', 'haldane', 'state', 'at', 'finite', 'temperatures', 'scattering', 'between', 'domainwall', 'excitations', 'becomes', 'especially', 'important', 'and', 'strongly', 'enhances', 'the', 'spectral', 'weight', 'for', 'momentum', 'transfer', 'pi']] | [-0.16636817867668588, 0.3036245465286846, -0.04298881086599053, 0.06635384544559562, -0.05898607769476264, -0.14577472959965013, 0.061444838588189984, 0.385316745996589, -0.2502296758204244, -0.2041828914062042, -0.0037710772523343677, -0.37020045661061773, -0.06826978202425797, 0.07955240497529109, 0.11253673309559813, 0.0019841373308014322, -0.028534863027743995, 0.00022711411593055337, -0.10727266303818132, -0.16952339013796727, 0.3012211591872664, -0.00197827264680776, 0.30921013961112453, 0.1176652898389903, 0.011556053722547439, 0.07195284140815261, 0.12606858902518417, -0.08204932076551737, -0.14147228479490018, 0.03136027882494146, 0.3105792516401706, -0.10520190419629216, 0.11615920379066498, -0.40548150129047517, -0.19340300162941332, 0.07391821459923935, 0.1857789629245646, 0.18470732908951873, 0.021085698497019537, -0.30585275628810166, -0.03662859080430433, -0.18028945108975164, -0.1077489179520395, -0.11645632780526714, 0.004952175414744224, -0.05998123070680117, -0.24908312374214067, 0.1484002380823816, 0.07215584275927679, 0.0356475367630256, -0.09051105152915111, -0.17197947713852157, -0.10006951588163338, 0.09261451984705929, 0.04991638321671208, 0.023383379801894533, 0.09375744563605608, -0.13028475303089118, -0.1257200023827662, 0.33325757753132407, -0.08617169482150037, -0.0919500231060363, 0.16127461939516924, -0.14063536891198755, -0.09432421670871154, 0.24045515510689944, 0.07994820481390187, 0.027985000399915316, -0.10546959862681746, 0.1015816073702961, 0.052580987731570675, 0.1985750496698515, -0.011083837978911536, 0.07313044363177801, 0.25408164635371727, 0.15494396931043905, 0.03912501612532429, 0.2031308435017371, -0.1212496895223984, -0.14580506765290754, -0.2474941250597987, -0.13163993672204724, -0.257974709555656, 0.0058867455111773865, -0.07656091432405265, -0.19369663439605755, 0.44638522283906357, 0.15219217031716728, 0.19355033576943492, -0.03962844864372875, 0.2538787229590914, 0.15210083836133287, 0.03536102476081889, 0.07795028341934085, 0.23620791865942845, 0.20167303055467953, 0.10196851359196861, -0.3651665665168415, 0.003726357507487432, 0.05929550799569613] |
1,801.10573 | The Physical Properties of ThCr2Si2-type Nickel-based Superconductors
BaNi2T2 (T = P, As): An ab-initio study | Employing the first-principles computations based on the density functional
theory (DFT), we have investigated the structural, mechanical, electronic,
bonding, optical and thermodynamics properties of newly discovered bulk
superconductors BaNi2P2 (Tc ~3 K) and BaNi2As2 (Tc ~0.7 K). Our optimized
lattice parameters are in good concurrence with the experimental records. The
positive elastic constants reveal that both the superconductors are stable in
nature. The analysis of the mechanical properties insures that both the phases
are ductile in nature and show anisotropic behaviors. The analysis of the
electronic band structures and density of states (TDOS and PDOS) reveals the
metallic manners for both the compounds and the major contribution comes from
Ni-3d states for both the phases. The calculations of the chemical bonding
specify that a mixture of covalent, ionic and metallic bonds exist in both the
superconductors. The high value of the dielectric constant of BaNi2As2 ensures
that this compound may be used to manufacture high value capacitors. The large
reflectivity in the low energy region indicates that both the compounds might
be useful as coating materials to reduce solar heating. By using the elastic
constants data the calculated Debye temperatures of BaNi2P2 and BaNi2As2 are
323.70 K and 272.94 K respectively, which are in good accordance with the
experimental values. Finally we have calculated the thermal conductivity of
these compounds which is 0.56 for BaNi2P2 and 0.46 for BaNi2As2.
| cond-mat.mtrl-sci | employing the firstprinciples computations based on the density functional theory dft we have investigated the structural mechanical electronic bonding optical and thermodynamics properties of newly discovered bulk superconductors bani2p2 tc 3 k and bani2as2 tc 07 k our optimized lattice parameters are in good concurrence with the experimental records the positive elastic constants reveal that both the superconductors are stable in nature the analysis of the mechanical properties insures that both the phases are ductile in nature and show anisotropic behaviors the analysis of the electronic band structures and density of states tdos and pdos reveals the metallic manners for both the compounds and the major contribution comes from ni3d states for both the phases the calculations of the chemical bonding specify that a mixture of covalent ionic and metallic bonds exist in both the superconductors the high value of the dielectric constant of bani2as2 ensures that this compound may be used to manufacture high value capacitors the large reflectivity in the low energy region indicates that both the compounds might be useful as coating materials to reduce solar heating by using the elastic constants data the calculated debye temperatures of bani2p2 and bani2as2 are 32370 k and 27294 k respectively which are in good accordance with the experimental values finally we have calculated the thermal conductivity of these compounds which is 056 for bani2p2 and 046 for bani2as2 | [['employing', 'the', 'firstprinciples', 'computations', 'based', 'on', 'the', 'density', 'functional', 'theory', 'dft', 'we', 'have', 'investigated', 'the', 'structural', 'mechanical', 'electronic', 'bonding', 'optical', 'and', 'thermodynamics', 'properties', 'of', 'newly', 'discovered', 'bulk', 'superconductors', 'bani2p2', 'tc', '3', 'k', 'and', 'bani2as2', 'tc', '07', 'k', 'our', 'optimized', 'lattice', 'parameters', 'are', 'in', 'good', 'concurrence', 'with', 'the', 'experimental', 'records', 'the', 'positive', 'elastic', 'constants', 'reveal', 'that', 'both', 'the', 'superconductors', 'are', 'stable', 'in', 'nature', 'the', 'analysis', 'of', 'the', 'mechanical', 'properties', 'insures', 'that', 'both', 'the', 'phases', 'are', 'ductile', 'in', 'nature', 'and', 'show', 'anisotropic', 'behaviors', 'the', 'analysis', 'of', 'the', 'electronic', 'band', 'structures', 'and', 'density', 'of', 'states', 'tdos', 'and', 'pdos', 'reveals', 'the', 'metallic', 'manners', 'for', 'both', 'the', 'compounds', 'and', 'the', 'major', 'contribution', 'comes', 'from', 'ni3d', 'states', 'for', 'both', 'the', 'phases', 'the', 'calculations', 'of', 'the', 'chemical', 'bonding', 'specify', 'that', 'a', 'mixture', 'of', 'covalent', 'ionic', 'and', 'metallic', 'bonds', 'exist', 'in', 'both', 'the', 'superconductors', 'the', 'high', 'value', 'of', 'the', 'dielectric', 'constant', 'of', 'bani2as2', 'ensures', 'that', 'this', 'compound', 'may', 'be', 'used', 'to', 'manufacture', 'high', 'value', 'capacitors', 'the', 'large', 'reflectivity', 'in', 'the', 'low', 'energy', 'region', 'indicates', 'that', 'both', 'the', 'compounds', 'might', 'be', 'useful', 'as', 'coating', 'materials', 'to', 'reduce', 'solar', 'heating', 'by', 'using', 'the', 'elastic', 'constants', 'data', 'the', 'calculated', 'debye', 'temperatures', 'of', 'bani2p2', 'and', 'bani2as2', 'are', '32370', 'k', 'and', '27294', 'k', 'respectively', 'which', 'are', 'in', 'good', 'accordance', 'with', 'the', 'experimental', 'values', 'finally', 'we', 'have', 'calculated', 'the', 'thermal', 'conductivity', 'of', 'these', 'compounds', 'which', 'is', '056', 'for', 'bani2p2', 'and', '046', 'for', 'bani2as2']] | [-0.14212067637362802, 0.18309272723969908, -0.05836885549037795, 0.0037784451547761893, 0.00217537691156146, -0.13318418799222567, 0.11817272055826442, 0.3794212759049847, -0.24048017496284146, -0.28644636085273345, 0.03215404615598005, -0.3542671791126024, -0.13203495202508103, 0.15850848741808882, 0.05274653093187274, 0.05407523180782233, -0.014663097526086289, -0.03491386145354343, -0.10995836384770859, -0.20210217885397522, 0.25776555412756647, 0.04949899842256951, 0.3223492645695477, 0.11401717854347819, 0.012139377070873944, -0.03667528622594994, 0.10145811692068953, 0.04182713380542949, -0.1613401234602068, 0.10698668001935559, 0.2963672821309483, -0.04916311506928654, 0.16386185718971072, -0.43222457290286537, -0.23471796162639813, -0.005211463575518079, 0.060957598585085655, 0.0870834993524682, -0.04458155866870287, -0.23072162435886487, 0.1075769746060676, -0.10418870522833475, -0.09646822294704452, -0.14339883178103272, -0.01337841573066954, 0.030828124798407637, -0.2219646984653851, 0.11960672379147246, 0.0014821575830961343, 0.0906411054231509, -0.16450909459717275, -0.22565845693441083, -0.08307261491863115, 0.0670475990384292, 0.04493129292873144, -0.004553108455075797, 0.1649405115749687, -0.10178638351691419, -0.060515036162333606, 0.39531204957793986, -0.05043204718742249, -0.05713629788854508, 0.17755783227526703, -0.14509988216940203, -0.09796804481592145, 0.1659879094166148, 0.09147180037035521, 0.07970345688066835, -0.1428550177331735, 0.06709289503868952, 0.0008429082253863748, 0.19480363038237236, 0.0385971085028928, 0.09097445722554487, 0.2162919891387889, 0.15129851706588585, -0.042929034083179045, 0.11707303080490343, -0.090674934764126, -0.03608649293686948, -0.23233767452399504, -0.1969092429270927, -0.20574411826150796, 0.016067218198543537, -0.12666198990699049, -0.18895804777532194, 0.3751385392793475, 0.11591005792978758, 0.18254134087056118, -0.021649286240166963, 0.19732309240665255, 0.08901365451532157, 0.06743474076704598, 0.059470630171893385, 0.2932142044708855, 0.17934043077230946, 0.11035644485397748, -0.2868768732493747, 0.11153093467893219, -0.009880870188989508] |
1,801.10574 | Performance Comparison of 112 Gb/s DMT, Nyquist PAM4 and
Partial-Response PAM4 for Future 5G Ethernet-based Fronthaul Architecture | For a future 5G Ethernet-based fronthaul architecture, 100G trunk lines of a
transmission distance up to 10 km standard single mode fiber (SSMF) in
combination with cheap grey optics to daisy chain cell site network interfaces
are a promising cost- and power-efficient solution. For such a scenario,
different intensity modulation and direct detect (IMDD) Formats at a data rate
of 112 Gb/s, namely Nyquist four-level pulse amplitude modulation (PAM4),
discrete multi-tone Transmission (DMT) and partial-response (PR) PAM4 are
experimentally investigated, using a low-cost electro-absorption modulated
laser (EML), a 25G driver and current state-of-the-art high Speed 84 GS/s CMOS
digital-to-analog converter (DAC) and analog-to-digital converter (ADC) test
chips. Each modulation Format is optimized independently for the desired
scenario and their digital signal processing (DSP) requirements are
investigated. The performance of Nyquist PAM4 and PR PAM4 depend very much on
the efficiency of pre- and post-equalization. We show the necessity for at
least 11 FFE-taps for pre-emphasis and up to 41 FFE coefficients at the
receiver side. In addition, PR PAM4 requires an MLSE with four states to decode
the signal back to a PAM4 signal. On the contrary, bit- and power-loading (BL,
PL) is crucial for DMT and an FFT length of at least 512 is necessary. With
optimized parameters, all Modulation formats result in a very similar
performances, demonstrating a transmission distance of up to 10 km over SSMF
with bit error rates (BERs) below a FEC threshold of 4.4E-3, allowing error
free transmission.
| eess.SP cs.NI | for a future 5g ethernetbased fronthaul architecture 100g trunk lines of a transmission distance up to 10 km standard single mode fiber ssmf in combination with cheap grey optics to daisy chain cell site network interfaces are a promising cost and powerefficient solution for such a scenario different intensity modulation and direct detect imdd formats at a data rate of 112 gbs namely nyquist fourlevel pulse amplitude modulation pam4 discrete multitone transmission dmt and partialresponse pr pam4 are experimentally investigated using a lowcost electroabsorption modulated laser eml a 25g driver and current stateoftheart high speed 84 gss cmos digitaltoanalog converter dac and analogtodigital converter adc test chips each modulation format is optimized independently for the desired scenario and their digital signal processing dsp requirements are investigated the performance of nyquist pam4 and pr pam4 depend very much on the efficiency of pre and postequalization we show the necessity for at least 11 ffetaps for preemphasis and up to 41 ffe coefficients at the receiver side in addition pr pam4 requires an mlse with four states to decode the signal back to a pam4 signal on the contrary bit and powerloading bl pl is crucial for dmt and an fft length of at least 512 is necessary with optimized parameters all modulation formats result in a very similar performances demonstrating a transmission distance of up to 10 km over ssmf with bit error rates bers below a fec threshold of 44e3 allowing error free transmission | [['for', 'a', 'future', '5g', 'ethernetbased', 'fronthaul', 'architecture', '100g', 'trunk', 'lines', 'of', 'a', 'transmission', 'distance', 'up', 'to', '10', 'km', 'standard', 'single', 'mode', 'fiber', 'ssmf', 'in', 'combination', 'with', 'cheap', 'grey', 'optics', 'to', 'daisy', 'chain', 'cell', 'site', 'network', 'interfaces', 'are', 'a', 'promising', 'cost', 'and', 'powerefficient', 'solution', 'for', 'such', 'a', 'scenario', 'different', 'intensity', 'modulation', 'and', 'direct', 'detect', 'imdd', 'formats', 'at', 'a', 'data', 'rate', 'of', '112', 'gbs', 'namely', 'nyquist', 'fourlevel', 'pulse', 'amplitude', 'modulation', 'pam4', 'discrete', 'multitone', 'transmission', 'dmt', 'and', 'partialresponse', 'pr', 'pam4', 'are', 'experimentally', 'investigated', 'using', 'a', 'lowcost', 'electroabsorption', 'modulated', 'laser', 'eml', 'a', '25g', 'driver', 'and', 'current', 'stateoftheart', 'high', 'speed', '84', 'gss', 'cmos', 'digitaltoanalog', 'converter', 'dac', 'and', 'analogtodigital', 'converter', 'adc', 'test', 'chips', 'each', 'modulation', 'format', 'is', 'optimized', 'independently', 'for', 'the', 'desired', 'scenario', 'and', 'their', 'digital', 'signal', 'processing', 'dsp', 'requirements', 'are', 'investigated', 'the', 'performance', 'of', 'nyquist', 'pam4', 'and', 'pr', 'pam4', 'depend', 'very', 'much', 'on', 'the', 'efficiency', 'of', 'pre', 'and', 'postequalization', 'we', 'show', 'the', 'necessity', 'for', 'at', 'least', '11', 'ffetaps', 'for', 'preemphasis', 'and', 'up', 'to', '41', 'ffe', 'coefficients', 'at', 'the', 'receiver', 'side', 'in', 'addition', 'pr', 'pam4', 'requires', 'an', 'mlse', 'with', 'four', 'states', 'to', 'decode', 'the', 'signal', 'back', 'to', 'a', 'pam4', 'signal', 'on', 'the', 'contrary', 'bit', 'and', 'powerloading', 'bl', 'pl', 'is', 'crucial', 'for', 'dmt', 'and', 'an', 'fft', 'length', 'of', 'at', 'least', '512', 'is', 'necessary', 'with', 'optimized', 'parameters', 'all', 'modulation', 'formats', 'result', 'in', 'a', 'very', 'similar', 'performances', 'demonstrating', 'a', 'transmission', 'distance', 'of', 'up', 'to', '10', 'km', 'over', 'ssmf', 'with', 'bit', 'error', 'rates', 'bers', 'below', 'a', 'fec', 'threshold', 'of', '44e3', 'allowing', 'error', 'free', 'transmission']] | [-0.1882983835125912, 0.062356053452182335, 0.015531393268466366, 0.009086654563791879, -0.030172550515561555, -0.27623354937085165, 0.11298577277341479, 0.4324231109894905, -0.25252873295748074, -0.2910711443906334, 0.11765514528504438, -0.2529962796793238, -0.09055233146914153, 0.259490265290705, -0.09401460737183195, 0.07682793664347952, 0.020328025343244377, 0.021805807979752338, -0.05811526548939552, -0.22964079718248478, 0.144840192439564, 0.15331283681813426, 0.3616031596661232, -0.029958783519450437, 0.14572198546966886, -0.01496111242110499, 0.02504419790063038, -0.12313831984249032, -0.08635226319265296, 0.055858049204904406, 0.27201400892287336, 0.10267456152710167, 0.2103625025128737, -0.38872994577195263, -0.2009947303232362, 0.022425949764925856, 0.13152934900674335, 0.06770386787844412, -0.05806722022164072, -0.22357320085388155, 0.15369631515123158, -0.17943800627195983, -0.028176480185441458, 0.03088655813666702, -0.021849736092245994, 0.05481478384806083, -0.3169220146451134, 0.03662590565994629, -0.009379406462527842, 0.08234120744036093, -0.01501153859346564, -0.12752283341347925, 0.006666617280575621, 0.07572701899334788, -0.06555539008550716, 0.05236994507442387, 0.12120605683479752, -0.06990265990177524, -0.09053166183793755, 0.3483598491377912, -0.06546308708481521, -0.1618233186934777, 0.14756735350117398, -0.11003484713644006, -0.035295160525938285, 0.2119996000885098, 0.18682773724387697, 0.02931833814508842, -0.12637048204433313, -0.003962261109328848, 0.07947506868721013, 0.28071890710331343, 0.18764043686316345, 0.10861085991460165, 0.17216723316872717, 0.18176881015818583, 0.055703462966663675, 0.0963020550613137, -0.20411813617017335, -0.03666978481581195, -0.21484939195312314, -0.13258355967333363, -0.16046382949088073, 0.006471678783684289, -0.10208963307606866, -0.07503098190696407, 0.35758092456895285, 0.10076689414998712, 0.12492134433415529, 0.07586783308176424, 0.38017876002612944, 0.10156446448005581, 0.08890032202403421, 0.08543426048443402, 0.21543326224195597, 0.13514962447256515, 0.13952679774497878, -0.18173127791615343, 0.007079774104213319, -0.011771304075919184] |
1,801.10575 | Electrically Tunable Harmonics in Time-modulated Metasurfaces for
Wavefront Engineering | Modulation of metasurfaces in time gives rise to several exotic space-time
scattering phenomena by violating the reciprocity and generation of
higher-order frequency harmonics. We introduce a new design paradigm for
time-modulated metasurfaces, offering electrically tunable engineering of the
generated frequency harmonics and their emerging wavefronts by controlling the
phase delay in modulation. It is demonstrated that the light acquires a
dispersionless phase shift regardless of incident angle and polarization, upon
undergoing frequency conversion in a time-modulated metasurface which is
linearly proportional to the modulation phase delay and the order of generated
frequency harmonic. The conversion efficiency to the frequency harmonics is
independent of modulation phase delay and only depends on the modulation depth
and resonant characteristics of the metasurface element, with the highest
efficiency occurring in the vicinity of resonance, and decreasing away from the
resonant regime. The design approach allows for creating tunable spatially
varying phase discontinuties with 2{\pi} span in the wavefronts of generated
frequency harmonics for a wide range of frequencies and incident angles.
Specifically, we apply this approach to a time-modulated metasurface in the
Teraherz regime consisted of graphene-wrapped silicon microwires. For this
purpose, we use an accurate and efficient semi-analytical framework based on
multipole scattering. We demonstrate the utility of the design for tunable beam
steering and focusing of the generated frequency harmonics. Furthermore, we
rigorously verify the broadband and wide-angle performance of the metasurface
in manipulation of the generated frequency harmonics. The proposed design
approach enables a new class of high-efficiency tunable metasurfaces with wide
angular and frequency bandwidth, wavefront engineering capabilities and
multi-functionality.
| physics.app-ph | modulation of metasurfaces in time gives rise to several exotic spacetime scattering phenomena by violating the reciprocity and generation of higherorder frequency harmonics we introduce a new design paradigm for timemodulated metasurfaces offering electrically tunable engineering of the generated frequency harmonics and their emerging wavefronts by controlling the phase delay in modulation it is demonstrated that the light acquires a dispersionless phase shift regardless of incident angle and polarization upon undergoing frequency conversion in a timemodulated metasurface which is linearly proportional to the modulation phase delay and the order of generated frequency harmonic the conversion efficiency to the frequency harmonics is independent of modulation phase delay and only depends on the modulation depth and resonant characteristics of the metasurface element with the highest efficiency occurring in the vicinity of resonance and decreasing away from the resonant regime the design approach allows for creating tunable spatially varying phase discontinuties with 2pi span in the wavefronts of generated frequency harmonics for a wide range of frequencies and incident angles specifically we apply this approach to a timemodulated metasurface in the teraherz regime consisted of graphenewrapped silicon microwires for this purpose we use an accurate and efficient semianalytical framework based on multipole scattering we demonstrate the utility of the design for tunable beam steering and focusing of the generated frequency harmonics furthermore we rigorously verify the broadband and wideangle performance of the metasurface in manipulation of the generated frequency harmonics the proposed design approach enables a new class of highefficiency tunable metasurfaces with wide angular and frequency bandwidth wavefront engineering capabilities and multifunctionality | [['modulation', 'of', 'metasurfaces', 'in', 'time', 'gives', 'rise', 'to', 'several', 'exotic', 'spacetime', 'scattering', 'phenomena', 'by', 'violating', 'the', 'reciprocity', 'and', 'generation', 'of', 'higherorder', 'frequency', 'harmonics', 'we', 'introduce', 'a', 'new', 'design', 'paradigm', 'for', 'timemodulated', 'metasurfaces', 'offering', 'electrically', 'tunable', 'engineering', 'of', 'the', 'generated', 'frequency', 'harmonics', 'and', 'their', 'emerging', 'wavefronts', 'by', 'controlling', 'the', 'phase', 'delay', 'in', 'modulation', 'it', 'is', 'demonstrated', 'that', 'the', 'light', 'acquires', 'a', 'dispersionless', 'phase', 'shift', 'regardless', 'of', 'incident', 'angle', 'and', 'polarization', 'upon', 'undergoing', 'frequency', 'conversion', 'in', 'a', 'timemodulated', 'metasurface', 'which', 'is', 'linearly', 'proportional', 'to', 'the', 'modulation', 'phase', 'delay', 'and', 'the', 'order', 'of', 'generated', 'frequency', 'harmonic', 'the', 'conversion', 'efficiency', 'to', 'the', 'frequency', 'harmonics', 'is', 'independent', 'of', 'modulation', 'phase', 'delay', 'and', 'only', 'depends', 'on', 'the', 'modulation', 'depth', 'and', 'resonant', 'characteristics', 'of', 'the', 'metasurface', 'element', 'with', 'the', 'highest', 'efficiency', 'occurring', 'in', 'the', 'vicinity', 'of', 'resonance', 'and', 'decreasing', 'away', 'from', 'the', 'resonant', 'regime', 'the', 'design', 'approach', 'allows', 'for', 'creating', 'tunable', 'spatially', 'varying', 'phase', 'discontinuties', 'with', '2pi', 'span', 'in', 'the', 'wavefronts', 'of', 'generated', 'frequency', 'harmonics', 'for', 'a', 'wide', 'range', 'of', 'frequencies', 'and', 'incident', 'angles', 'specifically', 'we', 'apply', 'this', 'approach', 'to', 'a', 'timemodulated', 'metasurface', 'in', 'the', 'teraherz', 'regime', 'consisted', 'of', 'graphenewrapped', 'silicon', 'microwires', 'for', 'this', 'purpose', 'we', 'use', 'an', 'accurate', 'and', 'efficient', 'semianalytical', 'framework', 'based', 'on', 'multipole', 'scattering', 'we', 'demonstrate', 'the', 'utility', 'of', 'the', 'design', 'for', 'tunable', 'beam', 'steering', 'and', 'focusing', 'of', 'the', 'generated', 'frequency', 'harmonics', 'furthermore', 'we', 'rigorously', 'verify', 'the', 'broadband', 'and', 'wideangle', 'performance', 'of', 'the', 'metasurface', 'in', 'manipulation', 'of', 'the', 'generated', 'frequency', 'harmonics', 'the', 'proposed', 'design', 'approach', 'enables', 'a', 'new', 'class', 'of', 'highefficiency', 'tunable', 'metasurfaces', 'with', 'wide', 'angular', 'and', 'frequency', 'bandwidth', 'wavefront', 'engineering', 'capabilities', 'and', 'multifunctionality']] | [-0.1976545331480268, 0.19076181869431122, -0.034493642850205876, -0.04980482380801382, -0.10617200108692766, -0.12641528827997928, 0.0478352658253593, 0.4546840055845678, -0.24990008102300076, -0.2758906678143271, 0.02805073115786609, -0.22075836361971315, -0.17064420842171574, 0.27543992504764064, -0.006652927635094294, 0.06324014855289044, -0.019790412352169648, -0.07752188901381138, -0.03322872563641375, -0.09733462688913838, 0.28007022622041405, 0.06537570353024282, 0.3483028796716378, 0.04251838482137268, 0.1448649064763091, 0.047054757062715696, 0.010328111371312005, -0.06273400688526005, -0.08431995949104021, 0.11678889963704232, 0.2407134041046867, 0.039184126721067095, 0.21118373210685185, -0.3784667558484496, -0.21385329990880564, 0.04297808788877983, 0.13132187252273209, 0.11348949535078226, -0.0963833814397311, -0.2689251974905626, 0.021274814043695536, -0.1535168900879888, -0.17010647769068152, -0.06593513210268262, -0.005345516053673166, 0.050866902873923, -0.2940763267258612, 0.025244497166176397, 0.054409465175838424, 0.039102034675530514, -0.04138804682051369, -0.0491493888790361, 0.00166610934628317, 0.06457914190742975, -0.023424486517727088, -0.028611259506410882, 0.11179527524800506, -0.10463140280648636, -0.11543147713707115, 0.38022720560950873, -0.0686969663164256, -0.16071239799762574, 0.12251243501400146, -0.1837971765592766, 0.010435346451301414, 0.1942046246939124, 0.2370372798258009, 0.1129758883663901, -0.08465180925514477, 0.028759941855185808, 0.07257479586853431, 0.23268694943623044, 0.16300845002898803, 0.11093022419641224, 0.2278237307900921, 0.19854331587692006, 0.06631379301588122, 0.1572201818621789, -0.13144516382330598, -0.031091751750164594, -0.26513155673702177, -0.10917616080713252, -0.19529949121821957, -0.014937691284845081, -0.09323815928448592, -0.1493752707350303, 0.5028422128409147, 0.1386042860802263, 0.1220021471596108, 0.005003983742790296, 0.3317184129622407, 0.16462959872666172, 0.0685348666138732, 0.005420886847871141, 0.302701043140573, 0.14571707526830813, 0.15389210968099248, -0.26507289369026416, -0.014831676441602982, -0.011402907690857179] |
1,801.10576 | Solving estimating equations with copulas | Thanks to their ability to capture complex dependence structures, copulas are
frequently used to glue random variables into a joint model with arbitrary
marginal distributions. More recently, they have been applied to solve
statistical learning problems such as regression or classification. Framing
such approaches as solutions of estimating equations, we generalize them in a
unified framework. We can then obtain simultaneous, coherent inferences across
multiple regression-like problems. We derive consistency, asymptotic normality,
and validity of the bootstrap for corresponding estimators. The conditions
allow for both continuous and discrete data as well as parametric,
nonparametric, and semiparametric estimators of the copula and marginal
distributions. The versatility of this methodology is illustrated by several
theoretical examples, a simulation study, and an application to financial
portfolio allocation.
| stat.ME | thanks to their ability to capture complex dependence structures copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions more recently they have been applied to solve statistical learning problems such as regression or classification framing such approaches as solutions of estimating equations we generalize them in a unified framework we can then obtain simultaneous coherent inferences across multiple regressionlike problems we derive consistency asymptotic normality and validity of the bootstrap for corresponding estimators the conditions allow for both continuous and discrete data as well as parametric nonparametric and semiparametric estimators of the copula and marginal distributions the versatility of this methodology is illustrated by several theoretical examples a simulation study and an application to financial portfolio allocation | [['thanks', 'to', 'their', 'ability', 'to', 'capture', 'complex', 'dependence', 'structures', 'copulas', 'are', 'frequently', 'used', 'to', 'glue', 'random', 'variables', 'into', 'a', 'joint', 'model', 'with', 'arbitrary', 'marginal', 'distributions', 'more', 'recently', 'they', 'have', 'been', 'applied', 'to', 'solve', 'statistical', 'learning', 'problems', 'such', 'as', 'regression', 'or', 'classification', 'framing', 'such', 'approaches', 'as', 'solutions', 'of', 'estimating', 'equations', 'we', 'generalize', 'them', 'in', 'a', 'unified', 'framework', 'we', 'can', 'then', 'obtain', 'simultaneous', 'coherent', 'inferences', 'across', 'multiple', 'regressionlike', 'problems', 'we', 'derive', 'consistency', 'asymptotic', 'normality', 'and', 'validity', 'of', 'the', 'bootstrap', 'for', 'corresponding', 'estimators', 'the', 'conditions', 'allow', 'for', 'both', 'continuous', 'and', 'discrete', 'data', 'as', 'well', 'as', 'parametric', 'nonparametric', 'and', 'semiparametric', 'estimators', 'of', 'the', 'copula', 'and', 'marginal', 'distributions', 'the', 'versatility', 'of', 'this', 'methodology', 'is', 'illustrated', 'by', 'several', 'theoretical', 'examples', 'a', 'simulation', 'study', 'and', 'an', 'application', 'to', 'financial', 'portfolio', 'allocation']] | [0.009116895218950606, -0.012188855107876494, -0.13136707830257835, 0.16313057920084365, -0.12203664976480086, -0.15620753324155004, 0.04426869150671747, 0.42412259480014686, -0.2680789396568622, -0.30584697712272885, 0.16247368324829656, -0.2298608701976557, -0.14731618456144427, 0.1951400534223555, -0.11286051951033334, 0.16928671340593288, 0.01851232699869621, -0.04095438898413352, -0.07084023071060543, -0.2617566894717334, 0.27887436465900994, 0.031170087935019946, 0.33901818599101274, -0.018332710694296345, 0.1247998625199656, 0.04201081215644315, -0.05475267391997359, 0.02418586551286881, -0.13118860519851647, 0.14159909191150818, 0.3210552545609854, 0.1739262646390876, 0.34524766919803956, -0.40547267953497207, -0.2501257993881741, 0.1271803568947249, 0.14317554768739124, 0.08383824279712092, 0.02515395495028051, -0.2862687750208762, 0.05070926189317458, -0.21625876417496212, -0.09475754463816091, -0.19902470846840692, -0.04133135246698775, 0.06738841907879818, -0.35459505701639443, 0.08356703726214267, 0.05283458951288917, 0.058384686340427684, -0.05879066663328558, -0.12291804900873572, 0.010352011886425316, 0.10464607398288565, 0.11734458746580076, -0.08202672786184496, 0.09248362687010798, -0.1180737527789578, -0.15858710843003204, 0.3102172124570408, -0.02986672200119844, -0.26914206465646145, 0.2083642766059887, -0.08022008596033688, -0.17283381979852433, 0.05015893786349484, 0.2418946972409744, 0.11595520112408145, -0.19905718455406568, 0.06721602411585816, -0.03250187136713536, 0.08312436791076776, 0.04440185149395538, -0.013058345197820134, 0.17623337876378378, 0.1533537714727103, 0.06656049089994462, 0.1579526195850884, -0.08942675126473337, -0.11067820356918438, -0.2846129453077259, -0.11018819323010487, -0.1639982751615706, -0.017293881114211776, -0.15240297351169096, -0.2082612670098071, 0.394525344783981, 0.17677282630616137, 0.19762618334272936, 0.11503462543154339, 0.26700222293560905, 0.13625368510087532, 0.0045531820764036605, 0.0635107506137912, 0.14156376535914117, 0.18819822217976193, 0.03749045678940151, -0.1308151902593372, 0.10576770202662315, -0.0005546009314486817] |
1,801.10577 | Variational approach to contact line dynamics for thin films | This paper investigates a variational approach to viscous flows with contact
line dynamics based on energy-dissipation modeling. The corresponding model is
reduced to a thin-film equation and its variational structure is also
constructed and discussed. Feasibility of this modeling approach is shown by
constructing a numerical scheme in 1D and by computing numerical solutions for
the problem of gravity driven droplets. Some implications of the contact line
model are highlighted in this setting.
| physics.flu-dyn cond-mat.soft | this paper investigates a variational approach to viscous flows with contact line dynamics based on energydissipation modeling the corresponding model is reduced to a thinfilm equation and its variational structure is also constructed and discussed feasibility of this modeling approach is shown by constructing a numerical scheme in 1d and by computing numerical solutions for the problem of gravity driven droplets some implications of the contact line model are highlighted in this setting | [['this', 'paper', 'investigates', 'a', 'variational', 'approach', 'to', 'viscous', 'flows', 'with', 'contact', 'line', 'dynamics', 'based', 'on', 'energydissipation', 'modeling', 'the', 'corresponding', 'model', 'is', 'reduced', 'to', 'a', 'thinfilm', 'equation', 'and', 'its', 'variational', 'structure', 'is', 'also', 'constructed', 'and', 'discussed', 'feasibility', 'of', 'this', 'modeling', 'approach', 'is', 'shown', 'by', 'constructing', 'a', 'numerical', 'scheme', 'in', '1d', 'and', 'by', 'computing', 'numerical', 'solutions', 'for', 'the', 'problem', 'of', 'gravity', 'driven', 'droplets', 'some', 'implications', 'of', 'the', 'contact', 'line', 'model', 'are', 'highlighted', 'in', 'this', 'setting']] | [-0.14009817503233224, 0.023605774633573648, -0.07632255208461661, 0.027252268671275, -0.04614746791935743, -0.15382097701682415, 0.013641343619483076, 0.35873023280236005, -0.27017935057974435, -0.27184036881854273, 0.11198872849281417, -0.22918028046364244, -0.21534330549662653, 0.22797123566014718, -0.03942843316097374, 0.10683704936822672, 0.07674942136908026, -0.05020070084281368, -0.07482087659356121, -0.18415704814474776, 0.3561812177402516, 0.06726027067036253, 0.28341027585572676, 0.07724825049150888, 0.1095733186995534, -0.0572805795595305, -0.04576963303636198, 0.08165706037735082, -0.1807305719543963, 0.16766621854653813, 0.19321909539835297, 0.05607691799507362, 0.2817012353334576, -0.4249245022002557, -0.2980954523185549, 0.0430031620629438, 0.13114530768577162, 0.14242901816351772, -0.0608892581977384, -0.29588119087307013, 0.08154729798385134, -0.18304823535456233, -0.15025153071045466, -0.062390287416310954, -0.0008395971564499482, 0.015780653932119068, -0.23534598883818708, 0.0629864763560201, 0.061431773836175874, 0.036311421973936976, -0.0849525197233673, -0.05466558888860761, -0.0026949302529380337, 0.03458857844896257, 0.04625584083060696, -0.009095191732304145, 0.0832056697611123, -0.12898460811654694, -0.09681053714801187, 0.4140801633874031, -0.04926649871448131, -0.2780660801401285, 0.16421403299876783, -0.05838569845009136, -0.09812484586560359, 0.11327261427953227, 0.17467160162528697, 0.15872528188389867, -0.18215622892045122, 0.08374527222173901, -0.02946560696877335, 0.10879149738290947, 0.009461131718724149, -0.08564300664177496, 0.174046307419465, 0.2615048211731323, 0.03569119634132271, 0.15149585496991463, -0.05149913333338041, -0.18182839961939376, -0.2969411403349001, -0.14238857574862976, -0.16227233860233467, 0.023252809056629464, -0.04548779278551069, -0.1555079172874884, 0.3609136256425899, 0.1656900666245859, 0.1800009810480557, 0.048260104794642086, 0.3029447618412645, 0.15783172301080536, -0.040217585740483376, 0.07918838604850924, 0.2107077559335827, 0.18562647134499394, 0.11166347799605805, -0.25145150969930835, 0.04360306153252517, 0.12172719146992551] |
1,801.10578 | Evaluating the Robustness of Neural Networks: An Extreme Value Theory
Approach | The robustness of neural networks to adversarial examples has received great
attention due to security implications. Despite various attack approaches to
crafting visually imperceptible adversarial examples, little has been developed
towards a comprehensive measure of robustness. In this paper, we provide a
theoretical justification for converting robustness analysis into a local
Lipschitz constant estimation problem, and propose to use the Extreme Value
Theory for efficient evaluation. Our analysis yields a novel robustness metric
called CLEVER, which is short for Cross Lipschitz Extreme Value for nEtwork
Robustness. The proposed CLEVER score is attack-agnostic and computationally
feasible for large neural networks. Experimental results on various networks,
including ResNet, Inception-v3 and MobileNet, show that (i) CLEVER is aligned
with the robustness indication measured by the $\ell_2$ and $\ell_\infty$ norms
of adversarial examples from powerful attacks, and (ii) defended networks using
defensive distillation or bounded ReLU indeed achieve better CLEVER scores. To
the best of our knowledge, CLEVER is the first attack-independent robustness
metric that can be applied to any neural network classifier.
| stat.ML cs.CR cs.LG | the robustness of neural networks to adversarial examples has received great attention due to security implications despite various attack approaches to crafting visually imperceptible adversarial examples little has been developed towards a comprehensive measure of robustness in this paper we provide a theoretical justification for converting robustness analysis into a local lipschitz constant estimation problem and propose to use the extreme value theory for efficient evaluation our analysis yields a novel robustness metric called clever which is short for cross lipschitz extreme value for network robustness the proposed clever score is attackagnostic and computationally feasible for large neural networks experimental results on various networks including resnet inceptionv3 and mobilenet show that i clever is aligned with the robustness indication measured by the ell_2 and ell_infty norms of adversarial examples from powerful attacks and ii defended networks using defensive distillation or bounded relu indeed achieve better clever scores to the best of our knowledge clever is the first attackindependent robustness metric that can be applied to any neural network classifier | [['the', 'robustness', 'of', 'neural', 'networks', 'to', 'adversarial', 'examples', 'has', 'received', 'great', 'attention', 'due', 'to', 'security', 'implications', 'despite', 'various', 'attack', 'approaches', 'to', 'crafting', 'visually', 'imperceptible', 'adversarial', 'examples', 'little', 'has', 'been', 'developed', 'towards', 'a', 'comprehensive', 'measure', 'of', 'robustness', 'in', 'this', 'paper', 'we', 'provide', 'a', 'theoretical', 'justification', 'for', 'converting', 'robustness', 'analysis', 'into', 'a', 'local', 'lipschitz', 'constant', 'estimation', 'problem', 'and', 'propose', 'to', 'use', 'the', 'extreme', 'value', 'theory', 'for', 'efficient', 'evaluation', 'our', 'analysis', 'yields', 'a', 'novel', 'robustness', 'metric', 'called', 'clever', 'which', 'is', 'short', 'for', 'cross', 'lipschitz', 'extreme', 'value', 'for', 'network', 'robustness', 'the', 'proposed', 'clever', 'score', 'is', 'attackagnostic', 'and', 'computationally', 'feasible', 'for', 'large', 'neural', 'networks', 'experimental', 'results', 'on', 'various', 'networks', 'including', 'resnet', 'inceptionv3', 'and', 'mobilenet', 'show', 'that', 'i', 'clever', 'is', 'aligned', 'with', 'the', 'robustness', 'indication', 'measured', 'by', 'the', 'ell_2', 'and', 'ell_infty', 'norms', 'of', 'adversarial', 'examples', 'from', 'powerful', 'attacks', 'and', 'ii', 'defended', 'networks', 'using', 'defensive', 'distillation', 'or', 'bounded', 'relu', 'indeed', 'achieve', 'better', 'clever', 'scores', 'to', 'the', 'best', 'of', 'our', 'knowledge', 'clever', 'is', 'the', 'first', 'attackindependent', 'robustness', 'metric', 'that', 'can', 'be', 'applied', 'to', 'any', 'neural', 'network', 'classifier']] | [-0.03992999748160929, -0.04091912378350685, -0.05251405258735497, 0.11001104357496216, -0.1312130855446581, -0.22212002754300655, 0.048909062438806196, 0.44258262618294286, -0.22833691885371407, -0.29253040307653166, 0.086300351953937, -0.2625853428505584, -0.25197880898050207, 0.18457969663409213, -0.19227634963100787, 0.14770926430704306, 0.10918460995750781, 0.010406743277953157, -0.042376908102814484, -0.2977349702470997, 0.30426209973740187, 0.08456451777078791, 0.3482825598751981, 0.07793839979626818, 0.12091705145615482, -0.07318074784442381, -0.00041292877142836234, 0.029053211843728752, -0.06524392867763736, 0.16062322222072808, 0.28237798631129907, 0.22761612436399534, 0.41156779109182473, -0.4055618871516453, -0.23771538257927907, 0.1466610836043597, 0.10706542530459558, 0.1296963654089061, -0.07264952092155436, -0.37376247290633396, 0.15021607566981793, -0.17731931003390583, -0.017907283121084205, -0.213455347121208, -0.0007675438366473435, -0.01707218317412576, -0.29800585990849726, -0.0021975552635323144, 0.10126732211019063, 0.05811050423828071, -0.008587282407515776, -0.12932904956382726, 0.002729530927228803, 0.12095037310016146, 0.045442315387333225, 0.08204061425330039, 0.11965651984443654, -0.13533940856640567, -0.15631997312034318, 0.3165637812058547, -0.06522008354084087, -0.2119145118436235, 0.15915719763665812, 0.022412405924768394, -0.14734190758624433, 0.09622528092255314, 0.2322748738736985, 0.09246841170908716, -0.12429874104832461, 0.005507419442459607, -0.0287993842168449, 0.17235054705057762, 0.05198844535343215, 0.025777815110579937, 0.10006950451005361, 0.23506007722124436, 0.07614991421013803, 0.16403892676451962, -0.09045151365826096, -0.0871496953956872, -0.22589151751428485, -0.06940955898974058, -0.2145422407004893, 0.03295041761057128, -0.13823179754839504, -0.1377847097635626, 0.4108720963073526, 0.2145548428068618, 0.19441137083075538, 0.14513314816568182, 0.37509576561386715, 0.028533703743753407, 0.08937651312890502, 0.10323125967187081, 0.2764895727027007, 0.0933381194837146, 0.076634885305483, -0.1266644587918062, 0.16244069386892646, 0.047335480971657115] |
1,801.10579 | Distinguishing Cause from Effect Using Quantiles: Bivariate Quantile
Causal Discovery | Causal inference using observational data is challenging, especially in the
bivariate case. Through the minimum description length principle, we link the
postulate of independence between the generating mechanisms of the cause and of
the effect given the cause to quantile regression. Based on this theory, we
develop Bivariate Quantile Causal Discovery (bQCD), a new method to distinguish
cause from effect assuming no confounding, selection bias or feedback. Because
it uses multiple quantile levels instead of the conditional mean only, bQCD is
adaptive not only to additive, but also to multiplicative or even
location-scale generating mechanisms. To illustrate the effectiveness of our
approach, we perform an extensive empirical comparison on both synthetic and
real datasets. This study shows that bQCD is robust across different
implementations of the method (i.e., the quantile regression), computationally
efficient, and compares favorably to state-of-the-art methods.
| stat.ML | causal inference using observational data is challenging especially in the bivariate case through the minimum description length principle we link the postulate of independence between the generating mechanisms of the cause and of the effect given the cause to quantile regression based on this theory we develop bivariate quantile causal discovery bqcd a new method to distinguish cause from effect assuming no confounding selection bias or feedback because it uses multiple quantile levels instead of the conditional mean only bqcd is adaptive not only to additive but also to multiplicative or even locationscale generating mechanisms to illustrate the effectiveness of our approach we perform an extensive empirical comparison on both synthetic and real datasets this study shows that bqcd is robust across different implementations of the method ie the quantile regression computationally efficient and compares favorably to stateoftheart methods | [['causal', 'inference', 'using', 'observational', 'data', 'is', 'challenging', 'especially', 'in', 'the', 'bivariate', 'case', 'through', 'the', 'minimum', 'description', 'length', 'principle', 'we', 'link', 'the', 'postulate', 'of', 'independence', 'between', 'the', 'generating', 'mechanisms', 'of', 'the', 'cause', 'and', 'of', 'the', 'effect', 'given', 'the', 'cause', 'to', 'quantile', 'regression', 'based', 'on', 'this', 'theory', 'we', 'develop', 'bivariate', 'quantile', 'causal', 'discovery', 'bqcd', 'a', 'new', 'method', 'to', 'distinguish', 'cause', 'from', 'effect', 'assuming', 'no', 'confounding', 'selection', 'bias', 'or', 'feedback', 'because', 'it', 'uses', 'multiple', 'quantile', 'levels', 'instead', 'of', 'the', 'conditional', 'mean', 'only', 'bqcd', 'is', 'adaptive', 'not', 'only', 'to', 'additive', 'but', 'also', 'to', 'multiplicative', 'or', 'even', 'locationscale', 'generating', 'mechanisms', 'to', 'illustrate', 'the', 'effectiveness', 'of', 'our', 'approach', 'we', 'perform', 'an', 'extensive', 'empirical', 'comparison', 'on', 'both', 'synthetic', 'and', 'real', 'datasets', 'this', 'study', 'shows', 'that', 'bqcd', 'is', 'robust', 'across', 'different', 'implementations', 'of', 'the', 'method', 'ie', 'the', 'quantile', 'regression', 'computationally', 'efficient', 'and', 'compares', 'favorably', 'to', 'stateoftheart', 'methods']] | [-0.05657089864935645, -0.007129073312917302, -0.10658711712579612, 0.14426338873726563, -0.12593530164194033, -0.16678150666529218, 0.0865818597991924, 0.42372678005029346, -0.25635158467247227, -0.3104510413509586, 0.0849984303718138, -0.23680991525326273, -0.19208431721283056, 0.2196283536115594, -0.10774377458343591, 0.053892465348509576, 0.06485231255730547, 0.002431041952189085, -0.054793849162817695, -0.2860642721501293, 0.28849871040375485, 0.08246822528065377, 0.3352272469896267, 0.014975585702558806, 0.13888811877101204, 0.04911147147499145, -0.1027353852267022, 0.019522240707858487, -0.07592420846420858, 0.11364183902887882, 0.23882649265223002, 0.17431454276733047, 0.35115734469011534, -0.3814404132313651, -0.20819999891494087, 0.14034439853841452, 0.07835138896011191, 0.09595839056890314, -0.018438188876728896, -0.2407188262269504, 0.058804402433556884, -0.16560697194759186, -0.04295633833125911, -0.11919107846245705, -0.05835473697243942, -0.013969053795957236, -0.3500351215237015, 0.13444145538081187, 0.05178686004322987, 0.09238536552720361, -0.02454307607522489, -0.1348318579445908, 0.016783556038272574, 0.08289474273174197, 0.09897910432367445, -0.01868580104766427, 0.10899444362952662, -0.09799173136204883, -0.15610896403023558, 0.3227484845991829, -0.05648923820980135, -0.22801327929671236, 0.22500405403142193, -0.09334106021393225, -0.14767516848276094, 0.08042458661249001, 0.2124147417347061, 0.11767858302006297, -0.15401296742702666, 0.03064950074365684, -0.02752241880880843, 0.16770227868009438, 0.020708026190241462, -0.015255128175000117, 0.1670697702651026, 0.18415854595896367, 0.029595311024232948, 0.14170440525258723, -0.13909275182221326, -0.11200937458729411, -0.28063647236998307, -0.1039224619708751, -0.17838728051170333, -0.015435358366938207, -0.12102223603398683, -0.23652466982201065, 0.3745212812619887, 0.2618122700092604, 0.16855882179568246, 0.10886585200017003, 0.3693081960015053, 0.08586370639302834, 0.04974993170245731, 0.07566247277444216, 0.1772560116151522, 0.10205471776710595, -0.0015887145200918476, -0.21959908627703947, 0.17253056513447074, 0.00803886543081658] |
1,801.1058 | Evolution of the Unidentified Infrared Bands in the Nucleus of the
Starburst Galaxy NGC 1097 | We present the analysis of the Unidentified Infrared Bands (UIB) in the
starburst galaxy NGC 1097. We have combined spectral maps observed with the
AKARI/IRC and Spitzer/IRS instruments, in order to study all of the most
prominent UIBs, from 3 to 20 micron. Such a complete spectral coverage is
crucial to remove the common degeneracies between the effects of the variations
of the size distribution and of the charge state of the grains. By studying
several UIB ratios, we show evidence that the average size of the UIB carriers
is larger in the central region than in the circumnuclear ring. We interpret
this result as the selective destruction of the smallest grains by the hard
radiation from the central active galactic nucleus.
| astro-ph.GA | we present the analysis of the unidentified infrared bands uib in the starburst galaxy ngc 1097 we have combined spectral maps observed with the akariirc and spitzerirs instruments in order to study all of the most prominent uibs from 3 to 20 micron such a complete spectral coverage is crucial to remove the common degeneracies between the effects of the variations of the size distribution and of the charge state of the grains by studying several uib ratios we show evidence that the average size of the uib carriers is larger in the central region than in the circumnuclear ring we interpret this result as the selective destruction of the smallest grains by the hard radiation from the central active galactic nucleus | [['we', 'present', 'the', 'analysis', 'of', 'the', 'unidentified', 'infrared', 'bands', 'uib', 'in', 'the', 'starburst', 'galaxy', 'ngc', '1097', 'we', 'have', 'combined', 'spectral', 'maps', 'observed', 'with', 'the', 'akariirc', 'and', 'spitzerirs', 'instruments', 'in', 'order', 'to', 'study', 'all', 'of', 'the', 'most', 'prominent', 'uibs', 'from', '3', 'to', '20', 'micron', 'such', 'a', 'complete', 'spectral', 'coverage', 'is', 'crucial', 'to', 'remove', 'the', 'common', 'degeneracies', 'between', 'the', 'effects', 'of', 'the', 'variations', 'of', 'the', 'size', 'distribution', 'and', 'of', 'the', 'charge', 'state', 'of', 'the', 'grains', 'by', 'studying', 'several', 'uib', 'ratios', 'we', 'show', 'evidence', 'that', 'the', 'average', 'size', 'of', 'the', 'uib', 'carriers', 'is', 'larger', 'in', 'the', 'central', 'region', 'than', 'in', 'the', 'circumnuclear', 'ring', 'we', 'interpret', 'this', 'result', 'as', 'the', 'selective', 'destruction', 'of', 'the', 'smallest', 'grains', 'by', 'the', 'hard', 'radiation', 'from', 'the', 'central', 'active', 'galactic', 'nucleus']] | [-0.06747959672900863, 0.05939112402609412, -0.05702935950830579, 0.09467311889471364, -0.005156112109601009, -0.018450195767504514, 0.03116352313205783, 0.40055090341655936, -0.1981618278096888, -0.3194112230061752, 0.06887040264354866, -0.3099743371340828, -0.05170816420596551, 0.13185268811324274, -0.04628163788941895, -0.03916903272496353, -0.012045213299494267, -0.09241883917215479, -0.009223785631160145, -0.1863263175301788, 0.3211867517627562, 0.11289838117692376, 0.19108411494726468, 0.044162345836456715, 0.02382735090452384, -0.04119932842746255, -0.0899008977700208, -0.015646763100120864, -0.14740211484586624, 0.11130477786903865, 0.25044719609775445, 0.07196273464617915, 0.21376226886297714, -0.3638186170795902, -0.20903562236821555, 0.11619075115333068, 0.1692188907811632, 0.05941990123237254, -0.031123092680497736, -0.2422447634868507, 0.0816750175540992, -0.1533560097431306, -0.1655916378634875, 0.0430810068358026, 0.04952927324615541, 0.031140727706665754, -0.1962575947538545, 0.10228762989024036, 0.056700638772110595, 0.09548693985418706, -0.12306872888689586, -0.13129776276907593, -0.06277468315035593, 0.1398700318665656, 0.03747744325807959, 0.020043828099065263, 0.17977272328390115, -0.1492002349724749, -0.052898128451130615, 0.3878348732260285, -0.07195507664556451, -0.007817125352496495, 0.2118529420742979, -0.2415258327315821, -0.15679483440109207, 0.20530861352768834, 0.12306153594867372, 0.12918793216164484, -0.13204729842159468, 0.020747771229953735, -0.06151673674858252, 0.22328371308805023, 0.026531939264997594, 0.10343500339918957, 0.2522985892309273, 0.12405081947818856, 0.049812831095520975, 0.1779892908401604, -0.24106076800981996, -0.04380631680336979, -0.26840700572890946, -0.11405041246277997, -0.1519372904316339, 0.06860846377714522, -0.14134969360736147, -0.09337104165918941, 0.38496640430702295, 0.13044652499074352, 0.24987173580457686, -0.02020923576707051, 0.2954979797016035, 0.06620093800612252, 0.14649739803471526, 0.09439188391199244, 0.285899597817467, 0.12509630947205863, 0.06691308409265685, -0.2671771669191629, 0.04344163550308249, -0.013623280460243954] |
1,801.10581 | Kramers' revenge | The combination of space inversion and time reversal symmetries result in
doubly-degenerate Bloch states with opposite spin. Many lattices with these
symmetries can be constructed by combining a noncentrosymmetric potential
(lacking this degeneracy) with its inverted copy. Using simple models, we
unravel the evolution of local spin-splitting during this process of inversion
symmetry restoration, in the presence of spin-orbit interaction and sublattice
coupling. Importantly, through an analysis of quantum mechanical commutativity,
we examine the difficulty of identifying states that are simultaneously
spatially segregated and spin polarized. We also explain how experimental
probes (such as angle-resolved photoemission spectroscopy, or ARPES) of `hidden
spin polarization' in layered materials are susceptible to unrelated spin
splitting intrinsically induced by broken inversion symmetry at the surface.
| cond-mat.mtrl-sci cond-mat.other | the combination of space inversion and time reversal symmetries result in doublydegenerate bloch states with opposite spin many lattices with these symmetries can be constructed by combining a noncentrosymmetric potential lacking this degeneracy with its inverted copy using simple models we unravel the evolution of local spinsplitting during this process of inversion symmetry restoration in the presence of spinorbit interaction and sublattice coupling importantly through an analysis of quantum mechanical commutativity we examine the difficulty of identifying states that are simultaneously spatially segregated and spin polarized we also explain how experimental probes such as angleresolved photoemission spectroscopy or arpes of hidden spin polarization in layered materials are susceptible to unrelated spin splitting intrinsically induced by broken inversion symmetry at the surface | [['the', 'combination', 'of', 'space', 'inversion', 'and', 'time', 'reversal', 'symmetries', 'result', 'in', 'doublydegenerate', 'bloch', 'states', 'with', 'opposite', 'spin', 'many', 'lattices', 'with', 'these', 'symmetries', 'can', 'be', 'constructed', 'by', 'combining', 'a', 'noncentrosymmetric', 'potential', 'lacking', 'this', 'degeneracy', 'with', 'its', 'inverted', 'copy', 'using', 'simple', 'models', 'we', 'unravel', 'the', 'evolution', 'of', 'local', 'spinsplitting', 'during', 'this', 'process', 'of', 'inversion', 'symmetry', 'restoration', 'in', 'the', 'presence', 'of', 'spinorbit', 'interaction', 'and', 'sublattice', 'coupling', 'importantly', 'through', 'an', 'analysis', 'of', 'quantum', 'mechanical', 'commutativity', 'we', 'examine', 'the', 'difficulty', 'of', 'identifying', 'states', 'that', 'are', 'simultaneously', 'spatially', 'segregated', 'and', 'spin', 'polarized', 'we', 'also', 'explain', 'how', 'experimental', 'probes', 'such', 'as', 'angleresolved', 'photoemission', 'spectroscopy', 'or', 'arpes', 'of', 'hidden', 'spin', 'polarization', 'in', 'layered', 'materials', 'are', 'susceptible', 'to', 'unrelated', 'spin', 'splitting', 'intrinsically', 'induced', 'by', 'broken', 'inversion', 'symmetry', 'at', 'the', 'surface']] | [-0.16561137858733982, 0.23345876380155145, -0.04716682889737374, 0.0524014865307789, -0.09184825683612961, -0.1617954648908012, 0.059296751246702945, 0.43214762116174316, -0.3295442752736382, -0.31707494748248294, 0.04527060867360339, -0.2749484609119779, -0.15345078696542966, 0.09266315585902839, 0.04532478541551419, 0.009175932017051084, -0.020940586816796586, -0.1023849038568841, -0.13262364716068956, -0.17957779203737848, 0.3284285094893022, -0.004546733689494431, 0.3074628715191714, 0.03522803600154017, 0.050763168475159624, 0.04661524554037235, 0.07199871585096333, -0.012965062383248679, -0.07090892563296207, 0.08562326339777744, 0.24895483239213884, -0.045470163701410014, 0.14283923020447828, -0.4750148087493644, -0.21235829645629264, 0.04598379528827288, 0.14004415250575739, 0.19853584530324606, -0.10463108430512649, -0.3322882862701004, 0.018480991898489393, -0.12233088491869366, -0.16437629466368395, -0.1672233163556161, -0.05101205819586584, -0.061413195282451746, -0.19762613856539607, 0.12189470299818815, 0.06894870582306065, 0.12529587052754812, -0.08075889026118858, -0.05983093718340051, -0.1573487309708206, 0.05842371781987777, 0.0705850788212693, -0.001090192695654359, 0.08192199621203332, -0.11591082762287976, -0.1715958136680328, 0.35998156648812324, -0.053854859003042876, -0.15732903219182198, 0.16143931865630565, -0.1599430444588777, -0.16111526509731516, 0.10820818691676067, 0.10556766461359225, 0.0995223851150964, -0.1034368206439001, 0.08614661987564981, -0.026676796047663515, 0.1542664036127808, 0.0543589929935584, 0.09708934415455077, 0.2739536477914773, 0.13497074807355228, 0.05739606069814614, 0.11856235436852713, -0.1149658541433698, -0.05440966381252674, -0.24974285126163448, -0.12975810154116027, -0.24336056827667576, 0.10477436222578591, -0.017206894331116208, -0.11191202319912182, 0.4336602056652985, 0.11208873608126498, 0.19992690504728702, -0.06990300888611266, 0.25333085201472844, 0.10472348658656624, 0.09257787991938574, 0.0015355138250526565, 0.23183914689223997, 0.1763657500807673, 0.03255241372899637, -0.3609941720790307, 0.0638840210831855, -0.008944663323061772] |
1,801.10582 | Atomic-state diagnostics and optimization in cold-atom experiments | We report on the creation, observation and optimization of superposition
states of cold atoms. In our experiments, rubidium atoms are prepared in a
magneto-optical trap and later, after switching off the trapping fields,
Faraday rotation of a weak probe beam is used to characterize atomic states
prepared by application of appropriate light pulses and external magnetic
fields. We discuss the signatures of polarization and alignment of atomic spin
states and identify main factors responsible for deterioration of the atomic
number and their coherence and present means for their optimization, like
relaxation in the dark with the strobe probing. These results may be used for
controlled preparation of cold atom samples and in situ magnetometry of static
and transient fields
| physics.atom-ph quant-ph | we report on the creation observation and optimization of superposition states of cold atoms in our experiments rubidium atoms are prepared in a magnetooptical trap and later after switching off the trapping fields faraday rotation of a weak probe beam is used to characterize atomic states prepared by application of appropriate light pulses and external magnetic fields we discuss the signatures of polarization and alignment of atomic spin states and identify main factors responsible for deterioration of the atomic number and their coherence and present means for their optimization like relaxation in the dark with the strobe probing these results may be used for controlled preparation of cold atom samples and in situ magnetometry of static and transient fields | [['we', 'report', 'on', 'the', 'creation', 'observation', 'and', 'optimization', 'of', 'superposition', 'states', 'of', 'cold', 'atoms', 'in', 'our', 'experiments', 'rubidium', 'atoms', 'are', 'prepared', 'in', 'a', 'magnetooptical', 'trap', 'and', 'later', 'after', 'switching', 'off', 'the', 'trapping', 'fields', 'faraday', 'rotation', 'of', 'a', 'weak', 'probe', 'beam', 'is', 'used', 'to', 'characterize', 'atomic', 'states', 'prepared', 'by', 'application', 'of', 'appropriate', 'light', 'pulses', 'and', 'external', 'magnetic', 'fields', 'we', 'discuss', 'the', 'signatures', 'of', 'polarization', 'and', 'alignment', 'of', 'atomic', 'spin', 'states', 'and', 'identify', 'main', 'factors', 'responsible', 'for', 'deterioration', 'of', 'the', 'atomic', 'number', 'and', 'their', 'coherence', 'and', 'present', 'means', 'for', 'their', 'optimization', 'like', 'relaxation', 'in', 'the', 'dark', 'with', 'the', 'strobe', 'probing', 'these', 'results', 'may', 'be', 'used', 'for', 'controlled', 'preparation', 'of', 'cold', 'atom', 'samples', 'and', 'in', 'situ', 'magnetometry', 'of', 'static', 'and', 'transient', 'fields']] | [-0.1228346476155752, 0.2458323430966492, -0.04943155829340783, 0.027379669590477496, 0.031892242986208, -0.11170651328538646, 0.07191979472071496, 0.42682115782146196, -0.24632681315342167, -0.324646126414344, 0.06824062764253311, -0.22485720225758538, -0.024946834504635643, 0.21757677707727216, 0.04225197887955969, 0.06098091663370112, 0.007657221193667971, -0.06417097278455851, -0.016407499291362756, -0.2135377501865395, 0.29814427273891897, 0.04237953944429129, 0.2831544227225064, 0.03816054299661592, 0.10284429532280114, 0.0416441694207239, 0.016838404072151213, -0.013369374214906339, -0.0889826375568489, 0.11868610489035432, 0.22283205133667136, 0.07209294737891897, 0.201988226693014, -0.5150289367884398, -0.1770543817278123, 0.0714428891200854, 0.12493014248565402, 0.201981078911604, -0.1168092365089037, -0.3244820388988787, -0.02404340436611669, -0.07793449853867793, -0.14745664292508187, -0.14297356338341946, 0.012919780442162472, 0.06844466724706923, -0.26903658663998786, 0.053436203720830695, 0.041538806335253156, 0.1014200031929532, -0.10861741581407353, -0.07311138148740434, 0.021424223142558662, 0.056372772555939164, -0.01145280702450477, 0.0048591606260253856, 0.23671189974602155, -0.1357846528471706, -0.13540573150091686, 0.3763428424727641, -0.10917768052959141, -0.089664801528693, 0.19206124254572793, -0.1551448127779202, -0.05886294667319465, 0.0799663977349224, 0.17595866361648596, 0.12788551198435993, -0.11121042969268786, 0.0009266924530760769, 0.008678780457771876, 0.1713648098794853, 0.14688338102389345, 0.11780308037526718, 0.2445966427306402, 0.15549848637222743, 0.04124779737468402, 0.1926124092287329, -0.14378062512592546, -0.02924975075860735, -0.24937856974894135, -0.17512373401081002, -0.1888143512177743, 0.06891328052562826, -0.012503421886803527, -0.103519733271272, 0.39865801753006685, 0.11578106377449889, 0.15953760893091934, -0.10183557972190667, 0.29485872643021477, 0.0737959329760829, 0.04587802471506934, 0.002704454115846296, 0.2804464193045342, 0.19319642562333086, 0.08566731461832504, -0.30876141807314855, 0.06106320225453677, -0.05774800240320443] |
1,801.10583 | Short- to Mid-term Day-Ahead Electricity Price Forecasting Using Futures | Due to the liberalization of markets, the change in the energy mix and the
surrounding energy laws, electricity research is a dynamically altering field
with steadily changing challenges. One challenge especially for investment
decisions is to provide reliable short to mid-term forecasts despite high
variation in the time series of electricity prices. This paper tackles this
issue in a promising and novel approach. By combining the precision of
econometric autoregressive models in the short-run with the expectations of
market participants reflected in future prices for the short- and mid-run we
show that the forecasting performance can be vastly increased while maintaining
hourly precision. We investigate the day-ahead electricity price of the EPEX
Spot for Germany and Austria and setup a model which incorporates the Phelix
future of the EEX for Germany and Austria. The model can be considered as an
AR24-X model with one distinct model for each hour of the day. We are able to
show that future data contains relevant price information for future time
periods of the day-ahead electricity price. We show that relying only on
deterministic external regressors can provide stability for forecast horizons
of multiple weeks. By implementing a fast and efficient lasso estimation
approach we demonstrate that our model can outperform several other models in
the literature.
| q-fin.ST | due to the liberalization of markets the change in the energy mix and the surrounding energy laws electricity research is a dynamically altering field with steadily changing challenges one challenge especially for investment decisions is to provide reliable short to midterm forecasts despite high variation in the time series of electricity prices this paper tackles this issue in a promising and novel approach by combining the precision of econometric autoregressive models in the shortrun with the expectations of market participants reflected in future prices for the short and midrun we show that the forecasting performance can be vastly increased while maintaining hourly precision we investigate the dayahead electricity price of the epex spot for germany and austria and setup a model which incorporates the phelix future of the eex for germany and austria the model can be considered as an ar24x model with one distinct model for each hour of the day we are able to show that future data contains relevant price information for future time periods of the dayahead electricity price we show that relying only on deterministic external regressors can provide stability for forecast horizons of multiple weeks by implementing a fast and efficient lasso estimation approach we demonstrate that our model can outperform several other models in the literature | [['due', 'to', 'the', 'liberalization', 'of', 'markets', 'the', 'change', 'in', 'the', 'energy', 'mix', 'and', 'the', 'surrounding', 'energy', 'laws', 'electricity', 'research', 'is', 'a', 'dynamically', 'altering', 'field', 'with', 'steadily', 'changing', 'challenges', 'one', 'challenge', 'especially', 'for', 'investment', 'decisions', 'is', 'to', 'provide', 'reliable', 'short', 'to', 'midterm', 'forecasts', 'despite', 'high', 'variation', 'in', 'the', 'time', 'series', 'of', 'electricity', 'prices', 'this', 'paper', 'tackles', 'this', 'issue', 'in', 'a', 'promising', 'and', 'novel', 'approach', 'by', 'combining', 'the', 'precision', 'of', 'econometric', 'autoregressive', 'models', 'in', 'the', 'shortrun', 'with', 'the', 'expectations', 'of', 'market', 'participants', 'reflected', 'in', 'future', 'prices', 'for', 'the', 'short', 'and', 'midrun', 'we', 'show', 'that', 'the', 'forecasting', 'performance', 'can', 'be', 'vastly', 'increased', 'while', 'maintaining', 'hourly', 'precision', 'we', 'investigate', 'the', 'dayahead', 'electricity', 'price', 'of', 'the', 'epex', 'spot', 'for', 'germany', 'and', 'austria', 'and', 'setup', 'a', 'model', 'which', 'incorporates', 'the', 'phelix', 'future', 'of', 'the', 'eex', 'for', 'germany', 'and', 'austria', 'the', 'model', 'can', 'be', 'considered', 'as', 'an', 'ar24x', 'model', 'with', 'one', 'distinct', 'model', 'for', 'each', 'hour', 'of', 'the', 'day', 'we', 'are', 'able', 'to', 'show', 'that', 'future', 'data', 'contains', 'relevant', 'price', 'information', 'for', 'future', 'time', 'periods', 'of', 'the', 'dayahead', 'electricity', 'price', 'we', 'show', 'that', 'relying', 'only', 'on', 'deterministic', 'external', 'regressors', 'can', 'provide', 'stability', 'for', 'forecast', 'horizons', 'of', 'multiple', 'weeks', 'by', 'implementing', 'a', 'fast', 'and', 'efficient', 'lasso', 'estimation', 'approach', 'we', 'demonstrate', 'that', 'our', 'model', 'can', 'outperform', 'several', 'other', 'models', 'in', 'the', 'literature']] | [-0.08089706846457419, 0.09186783402394559, -0.0774954300196398, 0.09155329118643532, -0.06282951967192016, -0.1494612755763921, 0.08013720550363707, 0.411784551594229, -0.2660324481914618, -0.32666458154008504, 0.16954856753415828, -0.2934302320976886, -0.10254762673714486, 0.23862957390180478, -0.13510601258215804, 0.040792829796139685, 0.07260376622711885, 0.0012123988777776027, 0.015421315863551128, -0.2892563788796819, 0.22502186916591155, 0.12012788405457589, 0.3156224776902014, 0.04776572793600194, 0.11296830209958855, -0.008232734666117245, -0.05754103761698518, -0.009546894390535141, -0.07170109149925079, 0.17154695029658754, 0.28443728626994663, 0.13077959157526492, 0.347433037317491, -0.46602515058503263, -0.22431700927693218, 0.11200266188409712, 0.04989340965292372, 0.05194061086790282, -0.010801652672567538, -0.23597949087797176, 0.024321089595157122, -0.23607479639883552, -0.1008019429339107, -0.10665325572093327, -0.008446184500852334, 0.039088981980845955, -0.3084578224236057, 0.07778218748724265, 0.002216508740647918, 0.03946242554201966, -0.09140654303621323, -0.10531986731858481, -0.01958709221577183, 0.15649300020498533, 0.11075206803812068, -0.03394852706364223, 0.1123386331700853, -0.14066197281950044, -0.16146753880422607, 0.38533889696755935, -0.09640055568334424, -0.11883237626004432, 0.11876678730886418, -0.1423915834764817, -0.13670653646723147, 0.0716493468177283, 0.24586294944109838, 0.05659886833413371, -0.17382890048569866, 0.01672416521441413, -0.009643121775505798, 0.1721767887761373, 0.03767330661149962, -0.01933541342483035, 0.2546023654052988, 0.2366409720719925, 0.09101958627413426, 0.09353337814903907, -0.10096277073580062, -0.14567669375710898, -0.2439562194709045, -0.12924469524878077, -0.11425673694383087, -0.005493722982992906, -0.10030569488888086, -0.10316685340145514, 0.4315608730517505, 0.22578763653568568, 0.14553665734572513, 0.08193526147577879, 0.3281808396757004, 0.11948946978026513, 0.016615766243609997, 0.11195591187237629, 0.20549483010379066, -0.043973597225600056, 0.16621831246496488, -0.18150289799918287, 0.12810805714037823, -0.006369821891366016] |
1,801.10584 | Calculus of convex polyhedra and polyhedral convex functions by
utilizing a multiple objective linear programming solver | The article deals with operations defined on convex polyhedra or polyhedral
convex functions. Given two convex polyhedra, operations like Minkowski sum,
intersection and closed convex hull of the union are considered. Basic
operations for one convex polyhedron are, for example, the polar, the conical
hull and the image under affine transformation. The concept of a
P-representation of a convex polyhedron is introduced. It is shown that many
polyhedral calculus operations can be expressed explicitly in terms of
P-representations. We point out that all the relevant computational effort for
polyhedral calculus consists in computing projections of convex polyhedra. In
order to compute projections we use a recent result saying that multiple
objective linear programming (MOLP) is equivalent to the polyhedral projection
problem. Based on the MOLP-solver bensolve a polyhedral calculus toolbox for
Matlab and GNU Octave is developed. Some numerical experiments are discussed.
| math.OC | the article deals with operations defined on convex polyhedra or polyhedral convex functions given two convex polyhedra operations like minkowski sum intersection and closed convex hull of the union are considered basic operations for one convex polyhedron are for example the polar the conical hull and the image under affine transformation the concept of a prepresentation of a convex polyhedron is introduced it is shown that many polyhedral calculus operations can be expressed explicitly in terms of prepresentations we point out that all the relevant computational effort for polyhedral calculus consists in computing projections of convex polyhedra in order to compute projections we use a recent result saying that multiple objective linear programming molp is equivalent to the polyhedral projection problem based on the molpsolver bensolve a polyhedral calculus toolbox for matlab and gnu octave is developed some numerical experiments are discussed | [['the', 'article', 'deals', 'with', 'operations', 'defined', 'on', 'convex', 'polyhedra', 'or', 'polyhedral', 'convex', 'functions', 'given', 'two', 'convex', 'polyhedra', 'operations', 'like', 'minkowski', 'sum', 'intersection', 'and', 'closed', 'convex', 'hull', 'of', 'the', 'union', 'are', 'considered', 'basic', 'operations', 'for', 'one', 'convex', 'polyhedron', 'are', 'for', 'example', 'the', 'polar', 'the', 'conical', 'hull', 'and', 'the', 'image', 'under', 'affine', 'transformation', 'the', 'concept', 'of', 'a', 'prepresentation', 'of', 'a', 'convex', 'polyhedron', 'is', 'introduced', 'it', 'is', 'shown', 'that', 'many', 'polyhedral', 'calculus', 'operations', 'can', 'be', 'expressed', 'explicitly', 'in', 'terms', 'of', 'prepresentations', 'we', 'point', 'out', 'that', 'all', 'the', 'relevant', 'computational', 'effort', 'for', 'polyhedral', 'calculus', 'consists', 'in', 'computing', 'projections', 'of', 'convex', 'polyhedra', 'in', 'order', 'to', 'compute', 'projections', 'we', 'use', 'a', 'recent', 'result', 'saying', 'that', 'multiple', 'objective', 'linear', 'programming', 'molp', 'is', 'equivalent', 'to', 'the', 'polyhedral', 'projection', 'problem', 'based', 'on', 'the', 'molpsolver', 'bensolve', 'a', 'polyhedral', 'calculus', 'toolbox', 'for', 'matlab', 'and', 'gnu', 'octave', 'is', 'developed', 'some', 'numerical', 'experiments', 'are', 'discussed']] | [-0.12046499165090999, -0.0013263466634920666, -0.06579677698900924, 0.06473753028881869, -0.09998610049951821, -0.1288373743183911, -0.01160091829785545, 0.3836298327360834, -0.364425823079156, -0.19188495643237338, 0.1676105232917637, -0.26407186618473916, -0.17858857954685975, 0.21327832423516416, -0.18077304030635527, 0.11721294119821063, 0.050514506403955495, -0.019260372391103633, -0.11913092671394614, -0.28283439294651286, 0.29734298070626597, -0.06219664327800274, 0.21276458612244045, 0.06282443234356054, 0.11105172106846502, 0.05179709715718803, -0.015889657006066826, 0.10102633033446702, -0.10745608777750541, 0.17605221414705738, 0.34695206879239, 0.22972420505580626, 0.26386956330887706, -0.46553344732549573, -0.09798623868326624, 0.09853311340224796, 0.07696968496976686, -0.007125680387252942, -0.03292410857143945, -0.21003498272371612, 0.018017771816812456, -0.09653922468423844, -0.11292301553767174, -0.10657823413161428, 0.0074917625136939545, 0.008289925406487392, -0.26393135714211635, -0.04695460315719434, 0.08784803441792194, 0.09556622676817435, -0.07384502762496205, -0.16580092965159565, -0.010798683054079966, 0.01952571214476068, -0.02505567442692284, 0.10024044001807592, 0.14041998227060373, 0.016390674341736095, -0.16792576637692816, 0.41957337142500495, 0.037625114535746566, -0.325185962593449, 0.1587049180808078, -0.13534475395655526, -0.14833682233500958, 0.1570264972413757, 0.16579980531906977, 0.17873432231301975, -0.13478719264967368, 0.1819289351667976, -0.11320044545656337, 0.05514742722838751, 0.13812308302315485, -0.005064913843359266, 0.13806464500459179, 0.12117413872121167, 0.13204731114632784, 0.21817629136993283, 0.023370029113721102, -0.13446231807715125, -0.34779140960267146, -0.17470309593980865, -0.23663484399023998, -0.013325130021465676, -0.10630474578491496, -0.1897397121387517, 0.35977625458368234, -0.0019884449928732856, 0.08193030249926128, 0.12966542553622276, 0.3029578935970286, 0.07098744060245475, 0.07790730189798134, 0.09358230522900288, 0.13103847494619134, 0.11932076920888253, -0.01843901667411306, -0.1534547016540143, 0.042028981853841935, 0.1863099119742401] |
1,801.10585 | Inference, Learning and Attention Mechanisms that Exploit and Preserve
Sparsity in Convolutional Networks | While CNNs naturally lend themselves to densely sampled data, and
sophisticated implementations are available, they lack the ability to
efficiently process sparse data. In this work we introduce a suite of tools
that exploit sparsity in both the feature maps and the filter weights, and
thereby allow for significantly lower memory footprints and computation times
than the conventional dense framework when processing data with a high degree
of sparsity. Our scheme provides (i) an efficient GPU implementation of a
convolution layer based on direct, sparse convolution; (ii) a filter step
within the convolution layer, which we call attention, that prevents fill-in,
i.e., the tendency of convolution to rapidly decrease sparsity, and guarantees
an upper bound on the computational resources; and (iii) an adaptation of the
back-propagation algorithm, which makes it possible to combine our approach
with standard learning frameworks, while still exploiting sparsity in the data
and the model.
| cs.CV | while cnns naturally lend themselves to densely sampled data and sophisticated implementations are available they lack the ability to efficiently process sparse data in this work we introduce a suite of tools that exploit sparsity in both the feature maps and the filter weights and thereby allow for significantly lower memory footprints and computation times than the conventional dense framework when processing data with a high degree of sparsity our scheme provides i an efficient gpu implementation of a convolution layer based on direct sparse convolution ii a filter step within the convolution layer which we call attention that prevents fillin ie the tendency of convolution to rapidly decrease sparsity and guarantees an upper bound on the computational resources and iii an adaptation of the backpropagation algorithm which makes it possible to combine our approach with standard learning frameworks while still exploiting sparsity in the data and the model | [['while', 'cnns', 'naturally', 'lend', 'themselves', 'to', 'densely', 'sampled', 'data', 'and', 'sophisticated', 'implementations', 'are', 'available', 'they', 'lack', 'the', 'ability', 'to', 'efficiently', 'process', 'sparse', 'data', 'in', 'this', 'work', 'we', 'introduce', 'a', 'suite', 'of', 'tools', 'that', 'exploit', 'sparsity', 'in', 'both', 'the', 'feature', 'maps', 'and', 'the', 'filter', 'weights', 'and', 'thereby', 'allow', 'for', 'significantly', 'lower', 'memory', 'footprints', 'and', 'computation', 'times', 'than', 'the', 'conventional', 'dense', 'framework', 'when', 'processing', 'data', 'with', 'a', 'high', 'degree', 'of', 'sparsity', 'our', 'scheme', 'provides', 'i', 'an', 'efficient', 'gpu', 'implementation', 'of', 'a', 'convolution', 'layer', 'based', 'on', 'direct', 'sparse', 'convolution', 'ii', 'a', 'filter', 'step', 'within', 'the', 'convolution', 'layer', 'which', 'we', 'call', 'attention', 'that', 'prevents', 'fillin', 'ie', 'the', 'tendency', 'of', 'convolution', 'to', 'rapidly', 'decrease', 'sparsity', 'and', 'guarantees', 'an', 'upper', 'bound', 'on', 'the', 'computational', 'resources', 'and', 'iii', 'an', 'adaptation', 'of', 'the', 'backpropagation', 'algorithm', 'which', 'makes', 'it', 'possible', 'to', 'combine', 'our', 'approach', 'with', 'standard', 'learning', 'frameworks', 'while', 'still', 'exploiting', 'sparsity', 'in', 'the', 'data', 'and', 'the', 'model']] | [-0.03123902721993075, 0.019880322507725586, -0.06332509896886729, 0.04409462441782314, -0.1341488869023203, -0.1529613667411492, 0.0770049047025058, 0.4537181118706354, -0.3259570433530838, -0.3286368888771574, 0.11998303496238194, -0.22146802681229458, -0.1706997821359089, 0.1632014754268922, -0.08818657390969406, 0.08615851417908933, 0.11801626207072588, 0.007534911360704158, -0.07718035368359766, -0.2521130846924267, 0.2716382127067687, 0.114581958193882, 0.3446471074958576, -0.0061772576870784265, 0.10189233834666962, -0.01340326334618582, -0.06198846809284749, -0.04581944575695784, -0.04441965236721151, 0.21422013853271898, 0.24214038524101644, 0.19470984737807573, 0.3315268377242172, -0.48627910651141565, -0.19867037381076771, 0.07858354508120492, 0.15829283914735054, 0.0923481787673679, -0.04264427871355824, -0.27945812317799, 0.09943333532561192, -0.1657907501193765, -0.018522011225530564, -0.1415020161614622, -0.05012901067333733, -0.008002205427592283, -0.3363135598987441, 0.035657476561906556, 0.10545715766149455, 0.006730097681776176, -0.0022397993707516848, -0.11385504715144634, 0.020184799906916465, 0.0980643221427571, -0.007756042396751288, 0.029409399503004433, 0.10567854659713105, -0.15586166994352418, -0.08693858023557886, 0.34736972778485525, -0.04689625318167222, -0.207180649478101, 0.21689599846339716, -0.06605723430402577, -0.14460483154644502, 0.1369951249181524, 0.2106805726160739, 0.06273240844512847, -0.13069235494615425, 0.06900591378283043, 0.0031639770573417612, 0.19574241853325358, 0.019592523995565013, 0.07174340833991066, 0.133574779676711, 0.20254976869773295, 0.11213210520753325, 0.11486922034481228, -0.12033480641138333, -0.07803741290785635, -0.21704624721080365, -0.13030342405682255, -0.20181047310115108, -0.060841737638521416, -0.13324266935738927, -0.15671841006713524, 0.3724577529848842, 0.19076756163556505, 0.23928820040864532, 0.14547755375610752, 0.3689782464839268, 0.06277997722230452, 0.17480881491850986, 0.14628969133525288, 0.14606243021311177, 0.09214494191422659, 0.10802723830581436, -0.15364592250486547, 0.07077648216583485, 0.023672227328174415] |
1,801.10586 | Optimized cell geometry for buffer-gas-cooled molecular-beam sources | We have designed, constructed, and commissioned a cryogenic helium buffer-gas
source for producing a cryogenially-cooled molecular beam and evaluated the
effect of different cell geometries on the intensity of the produced molecular
beam, using ammonia as a test molecule. Planar and conical entrance and exit
geometries are tested. We observe a three fold enhancement in the NH$_3$ signal
for a cell with planar-entrance and conical-exit geometry, compared to that for
a typically used `box'-like geometry with planar entrance and exit. These
observations are rationalized by flow-field simulations for the different
buffer-gas cell geometries. The full thermalization of molecules with the
helium buffer-gas is confirmed through rotationally-resolved REMPI spectra
yielding a rotational temperature of 5 K.
| physics.chem-ph physics.flu-dyn | we have designed constructed and commissioned a cryogenic helium buffergas source for producing a cryogeniallycooled molecular beam and evaluated the effect of different cell geometries on the intensity of the produced molecular beam using ammonia as a test molecule planar and conical entrance and exit geometries are tested we observe a three fold enhancement in the nh_3 signal for a cell with planarentrance and conicalexit geometry compared to that for a typically used boxlike geometry with planar entrance and exit these observations are rationalized by flowfield simulations for the different buffergas cell geometries the full thermalization of molecules with the helium buffergas is confirmed through rotationallyresolved rempi spectra yielding a rotational temperature of 5 k | [['we', 'have', 'designed', 'constructed', 'and', 'commissioned', 'a', 'cryogenic', 'helium', 'buffergas', 'source', 'for', 'producing', 'a', 'cryogeniallycooled', 'molecular', 'beam', 'and', 'evaluated', 'the', 'effect', 'of', 'different', 'cell', 'geometries', 'on', 'the', 'intensity', 'of', 'the', 'produced', 'molecular', 'beam', 'using', 'ammonia', 'as', 'a', 'test', 'molecule', 'planar', 'and', 'conical', 'entrance', 'and', 'exit', 'geometries', 'are', 'tested', 'we', 'observe', 'a', 'three', 'fold', 'enhancement', 'in', 'the', 'nh_3', 'signal', 'for', 'a', 'cell', 'with', 'planarentrance', 'and', 'conicalexit', 'geometry', 'compared', 'to', 'that', 'for', 'a', 'typically', 'used', 'boxlike', 'geometry', 'with', 'planar', 'entrance', 'and', 'exit', 'these', 'observations', 'are', 'rationalized', 'by', 'flowfield', 'simulations', 'for', 'the', 'different', 'buffergas', 'cell', 'geometries', 'the', 'full', 'thermalization', 'of', 'molecules', 'with', 'the', 'helium', 'buffergas', 'is', 'confirmed', 'through', 'rotationallyresolved', 'rempi', 'spectra', 'yielding', 'a', 'rotational', 'temperature', 'of', '5', 'k']] | [-0.06539092672132288, 0.15402739857381675, -0.05333041252535103, 0.01020805202279007, 0.0564487492000418, -0.1638410646534924, 0.03232338685899906, 0.4459076303589557, -0.17093641211769345, -0.27695697866978924, 0.07073591459629824, -0.22613620003020124, -0.03216828416251311, 0.21536369386324491, 0.05371330536062097, 0.046856563679674376, 0.07063746218253593, -0.044574897578318735, -0.025566105658072047, -0.1651891194217439, 0.24957922497664445, 0.10684089080729921, 0.2693385382548773, 0.06471664374112152, 0.1572198238427518, -0.08235285150502543, 0.006384300217697663, 0.041293021607478816, -0.16384445174305387, 0.08410501917699419, 0.24403654347198817, 0.06856423414345565, 0.15641723874640384, -0.4738962946368182, -0.24525198684672692, 0.041165407663876455, 0.12274633779556357, 0.13641510276855634, -0.09862536679312532, -0.2713891044757994, 0.03705924643769062, -0.1140248195869, -0.17864916509383225, -0.005368144845955872, -0.017946054418903908, 0.06962006066792778, -0.25770046105442035, 0.02186537322787834, -0.009049998947115714, 0.12471816881484951, -0.055340981061038165, -0.14667997281191805, -0.04561844694710869, 0.10546319834351639, -0.055649126200088564, -0.0013637707285982157, 0.2319117083097808, -0.0692627476206066, -0.078253110103885, 0.3988923755324712, -0.08165182898769022, -0.15436727789970714, 0.1953748540503771, -0.1892459907893291, -0.06717422274440261, 0.23827665889984928, 0.13564753626893175, 0.11925904924698573, -0.13507716664545505, -0.009930243801915952, 0.004704301586441163, 0.1527476772659741, 0.19545959482119152, -0.03929320084612949, 0.22348727575237198, 0.17600483598653227, -0.022207450114884914, 0.19186420017753594, -0.22859825384927848, -0.07322613860950307, -0.24931157587291505, -0.1394407662779226, -0.13727043257261226, 0.058347504721106294, -0.04157875795005696, -0.10915127996629183, 0.3539959858171642, 0.01564651888578997, 0.1876628277449137, -0.022029420431603546, 0.30235380243643056, 0.043197000664284654, 0.05649826401973509, 0.006316527054358241, 0.2321055013869357, 0.1438349944115284, 0.10402472210600015, -0.2799271629155555, 0.006945548560387189, 0.0012842401972323256] |
1,801.10587 | Pressureless Euler alignment system with control | We study a non-local hydrodynamic system with control. First we characterize
the control dynamics as a sub-optimal approximation to the optimal control
problem constrained to the evolution of the pressureless Euler alignment
system. We then discuss the critical thresholds that leading to global
regularity or finite-time blow-up of strong solutions in one and two
dimensions. Finally we propose a finite volume scheme for numerical solutions
of the controlled system. Several numerical simulations are shown to validate
the theoretical and computational results of the paper.
| math.AP math-ph math.MP math.NA math.OC | we study a nonlocal hydrodynamic system with control first we characterize the control dynamics as a suboptimal approximation to the optimal control problem constrained to the evolution of the pressureless euler alignment system we then discuss the critical thresholds that leading to global regularity or finitetime blowup of strong solutions in one and two dimensions finally we propose a finite volume scheme for numerical solutions of the controlled system several numerical simulations are shown to validate the theoretical and computational results of the paper | [['we', 'study', 'a', 'nonlocal', 'hydrodynamic', 'system', 'with', 'control', 'first', 'we', 'characterize', 'the', 'control', 'dynamics', 'as', 'a', 'suboptimal', 'approximation', 'to', 'the', 'optimal', 'control', 'problem', 'constrained', 'to', 'the', 'evolution', 'of', 'the', 'pressureless', 'euler', 'alignment', 'system', 'we', 'then', 'discuss', 'the', 'critical', 'thresholds', 'that', 'leading', 'to', 'global', 'regularity', 'or', 'finitetime', 'blowup', 'of', 'strong', 'solutions', 'in', 'one', 'and', 'two', 'dimensions', 'finally', 'we', 'propose', 'a', 'finite', 'volume', 'scheme', 'for', 'numerical', 'solutions', 'of', 'the', 'controlled', 'system', 'several', 'numerical', 'simulations', 'are', 'shown', 'to', 'validate', 'the', 'theoretical', 'and', 'computational', 'results', 'of', 'the', 'paper']] | [-0.17829352475209384, 0.005085261344599227, -0.09692960038470726, 0.06408790686345171, -0.03145814297853836, -0.1333780447298306, 0.033769342850150895, 0.3218839577110928, -0.30387565855025533, -0.25703361782334033, 0.1556049501343209, -0.24999106648500033, -0.16917972884506785, 0.17676319870155394, -0.04329604020486364, 0.15326166768846589, 0.0378934545442462, -0.02211737947350013, -0.09166314455519785, -0.2612362256622873, 0.34838149098435506, 0.02820416569842824, 0.2511629621343066, 0.05970039345612306, 0.12591538079349057, -0.07573031139881573, -0.005040992539198626, 0.07672648313122668, -0.22524900537116213, 0.08884739375346162, 0.20825815369330702, 0.0879756032733158, 0.31181355769790353, -0.45247218757867813, -0.2137524137229082, 0.09561294698367073, 0.18068941468040325, 0.1658358697868174, -0.057501731551296655, -0.24114483947466528, 0.1442925036286137, -0.17111220595515556, -0.16733990132897383, -0.11305040999182633, -0.03463472446448924, 0.07613201145154778, -0.2998964805821223, 0.05124648327806166, 0.030357528139748388, 0.013118539072041, -0.13471158651823534, -0.02310519517327304, 0.008648092758708767, 0.12156298410541024, 0.04502642355094265, -0.0340425178902002, 0.07788361203745894, -0.14484769621742002, -0.13666131165726775, 0.377523126258027, -0.05627954065580741, -0.25446279651285814, 0.2288603893331518, -0.12722150690942294, -0.0912926244338797, 0.11335063733470936, 0.22209806397135945, 0.14083249529288705, -0.1387972602886813, 0.027837940889488284, -0.03294762681859235, 0.15939262300907148, 0.025824624207979513, 0.0014425028403777453, 0.1072138274598512, 0.2055205267720989, 0.1334358471878139, 0.15223554152526914, -0.051723454963177484, -0.1558998878601761, -0.35257657973228823, -0.13092782328437483, -0.1325678484226089, 0.03566457555141477, -0.09873474597164507, -0.15526995263055487, 0.38958273983678826, 0.1904180583965388, 0.14825224090323208, 0.1011457417127011, 0.3118542111035259, 0.1437343012172884, -0.06037778166743616, 0.07261871137390179, 0.24752248470793434, 0.107213289853895, 0.09943485027179122, -0.30977752824158716, 0.00043507418567536487, 0.1133573158599791] |
1,801.10588 | Percolation for D2D Networks on Street Systems | We study fundamental characteristics for the connectivity of multi-hop D2D
networks. Devices are randomly distributed on street systems and are able to
communicate with each other whenever their separation is smaller than some
connectivity threshold. We model the street systems as Poisson-Voronoi or
Poisson-Delaunay tessellations with varying street lengths. We interpret the
existence of adequate D2D connectivity as percolation of the underlying random
graph. We derive and compare approximations for the critical device-intensity
for percolation, the percolation probability and the graph distance. Our
results show that for urban areas, the Poisson Boolean Model gives a very good
approximation, while for rural areas, the percolation probability stays far
from 1 even far above the percolation threshold.
| cs.NI | we study fundamental characteristics for the connectivity of multihop d2d networks devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity threshold we model the street systems as poissonvoronoi or poissondelaunay tessellations with varying street lengths we interpret the existence of adequate d2d connectivity as percolation of the underlying random graph we derive and compare approximations for the critical deviceintensity for percolation the percolation probability and the graph distance our results show that for urban areas the poisson boolean model gives a very good approximation while for rural areas the percolation probability stays far from 1 even far above the percolation threshold | [['we', 'study', 'fundamental', 'characteristics', 'for', 'the', 'connectivity', 'of', 'multihop', 'd2d', 'networks', 'devices', 'are', 'randomly', 'distributed', 'on', 'street', 'systems', 'and', 'are', 'able', 'to', 'communicate', 'with', 'each', 'other', 'whenever', 'their', 'separation', 'is', 'smaller', 'than', 'some', 'connectivity', 'threshold', 'we', 'model', 'the', 'street', 'systems', 'as', 'poissonvoronoi', 'or', 'poissondelaunay', 'tessellations', 'with', 'varying', 'street', 'lengths', 'we', 'interpret', 'the', 'existence', 'of', 'adequate', 'd2d', 'connectivity', 'as', 'percolation', 'of', 'the', 'underlying', 'random', 'graph', 'we', 'derive', 'and', 'compare', 'approximations', 'for', 'the', 'critical', 'deviceintensity', 'for', 'percolation', 'the', 'percolation', 'probability', 'and', 'the', 'graph', 'distance', 'our', 'results', 'show', 'that', 'for', 'urban', 'areas', 'the', 'poisson', 'boolean', 'model', 'gives', 'a', 'very', 'good', 'approximation', 'while', 'for', 'rural', 'areas', 'the', 'percolation', 'probability', 'stays', 'far', 'from', '1', 'even', 'far', 'above', 'the', 'percolation', 'threshold']] | [-0.13787945845621852, 0.10669598383052896, -0.017221980299310463, 0.11973047853353548, -0.02321412884058398, -0.17650033790503808, 0.1293111608543417, 0.4275237826891897, -0.2416999154997859, -0.25013363377697634, 0.0867045094879965, -0.3117756632467111, -0.20374928910914286, 0.13164373187822076, -0.08282691248480165, 0.062490381137059445, 0.033344145850972846, 0.09945477181514562, 0.027739127244179446, -0.21245714256860593, 0.2974976371216032, 0.02974754911969955, 0.3229829681988217, 0.06867082356148514, 0.01584403089394695, -0.0013903667660135973, 0.0282328205781564, 0.056649583649184355, -0.1936033503339435, 0.10964049273088836, 0.2598166265770009, 0.10625825615256633, 0.25587737588048504, -0.42614802388114886, -0.2735697872714107, 0.1164096278478514, 0.16392395288373032, 0.08116492046361887, 0.02831937184683946, -0.3167184788954297, 0.16433367999107168, -0.13346281460600726, -0.10972109741494039, 0.015575028089969828, 0.024598770031476754, 0.13448353668648275, -0.26355335285494985, 0.041353501009820194, 0.015278546417360766, 0.056443934169548904, -0.011275110552480583, -0.12649832302377673, -0.013977324780027726, 0.21697809598041012, -0.04545663799191907, 0.005150101537685515, 0.1531159251013346, -0.1618946962254612, -0.1509485836876066, 0.3842333188901345, 0.07545353046946714, -0.16624285024182314, 0.20785580604672105, -0.13612825352812938, -0.15951932836814145, 0.09302240806190591, 0.18294072844774315, 0.029992525710871343, -0.12243436057970189, 0.034568964253004084, -0.06494245679207604, 0.12073138416663073, 0.09109167105175163, 0.01875642734056894, 0.14087861037012517, 0.24400946482293015, 0.1872748120671563, 0.12027716651618105, -0.11286767846863847, -0.1591195270353765, -0.2418356965818818, -0.06617748887245462, -0.22103877094361865, 0.05840210439923236, -0.21703114467553014, -0.1958418885785106, 0.3588548768475129, 0.18479169178917482, 0.20222947466710026, 0.18881244231587307, 0.26302645949385406, 0.08416323535646753, 0.025638370594957417, 0.12219288420307924, 0.15161151365553674, 0.13678916559244195, 0.10716238440414727, -0.08298014495889411, 0.10043959318774573, 0.0656332939928561] |
1,801.10589 | Asteroseismology of ZZ Ceti stars with full evolutionary white dwarf
models. II. The impact of AGB thermal pulses on the asteroseismic inferences
of ZZ Ceti stars | The thermally pulsing phase on the asymptotic giant branch (TP-AGB) is the
last nuclear burning phase experienced by most of low and intermediate mass
stars. During this phase, the outer chemical stratification above the C/O core
of the emerging white dwarf is built up. The chemical structure resulting from
progenitor evolution strongly impacts the whole pulsation spectrum exhibited by
ZZ Ceti stars, which are pulsating C/O core white dwarfs located on an narrow
instability strip at T eff \sim 12000 K. Several physical processes occurring
during progenitor evolution strongly affect the chemical structure of these
stars, being those found during the TP-AGB phase ones of the most relevant for
the pulsational properties of ZZ Ceti stars. We present a study of the impact
of the chemical structure built up during the TP-AGB evolution on the stellar
parameters inferred from asteroseismological fits of ZZ Ceti stars. Our
analysis is based on a set of carbon-oxygen core white dwarf models with masses
from 0.534 to 0.6463M_{\odot} derived from full evolutionary computations from
the ZAMS to the ZZ Ceti domain. We compute evolutionary sequences that
experience different number of thermal pulses. We find that the occurrence or
not of thermal pulses during AGB evolution implies an average deviation in the
astero- seimological effective temperature of ZZ Ceti stars of at most 8% and
of the order of < 5% in the stellar mass. For the mass of the hydrogen
envelope, however, we find deviations up to 2 orders of magnitude in the case
of cool ZZ Ceti stars. For hot and intermediate temperature ZZ Ceti stars shows
no differences in the hydrogen envelope mass in most cases. Our results show
that, in general, the impact of the occurrence or not of thermal pulses in the
progenitor stars is not negligible and must be taken into account in
asteroseismological studies of ZZ Ceti stars.
| astro-ph.SR | the thermally pulsing phase on the asymptotic giant branch tpagb is the last nuclear burning phase experienced by most of low and intermediate mass stars during this phase the outer chemical stratification above the co core of the emerging white dwarf is built up the chemical structure resulting from progenitor evolution strongly impacts the whole pulsation spectrum exhibited by zz ceti stars which are pulsating co core white dwarfs located on an narrow instability strip at t eff sim 12000 k several physical processes occurring during progenitor evolution strongly affect the chemical structure of these stars being those found during the tpagb phase ones of the most relevant for the pulsational properties of zz ceti stars we present a study of the impact of the chemical structure built up during the tpagb evolution on the stellar parameters inferred from asteroseismological fits of zz ceti stars our analysis is based on a set of carbonoxygen core white dwarf models with masses from 0534 to 06463m_odot derived from full evolutionary computations from the zams to the zz ceti domain we compute evolutionary sequences that experience different number of thermal pulses we find that the occurrence or not of thermal pulses during agb evolution implies an average deviation in the astero seimological effective temperature of zz ceti stars of at most 8 and of the order of 5 in the stellar mass for the mass of the hydrogen envelope however we find deviations up to 2 orders of magnitude in the case of cool zz ceti stars for hot and intermediate temperature zz ceti stars shows no differences in the hydrogen envelope mass in most cases our results show that in general the impact of the occurrence or not of thermal pulses in the progenitor stars is not negligible and must be taken into account in asteroseismological studies of zz ceti stars | [['the', 'thermally', 'pulsing', 'phase', 'on', 'the', 'asymptotic', 'giant', 'branch', 'tpagb', 'is', 'the', 'last', 'nuclear', 'burning', 'phase', 'experienced', 'by', 'most', 'of', 'low', 'and', 'intermediate', 'mass', 'stars', 'during', 'this', 'phase', 'the', 'outer', 'chemical', 'stratification', 'above', 'the', 'co', 'core', 'of', 'the', 'emerging', 'white', 'dwarf', 'is', 'built', 'up', 'the', 'chemical', 'structure', 'resulting', 'from', 'progenitor', 'evolution', 'strongly', 'impacts', 'the', 'whole', 'pulsation', 'spectrum', 'exhibited', 'by', 'zz', 'ceti', 'stars', 'which', 'are', 'pulsating', 'co', 'core', 'white', 'dwarfs', 'located', 'on', 'an', 'narrow', 'instability', 'strip', 'at', 't', 'eff', 'sim', '12000', 'k', 'several', 'physical', 'processes', 'occurring', 'during', 'progenitor', 'evolution', 'strongly', 'affect', 'the', 'chemical', 'structure', 'of', 'these', 'stars', 'being', 'those', 'found', 'during', 'the', 'tpagb', 'phase', 'ones', 'of', 'the', 'most', 'relevant', 'for', 'the', 'pulsational', 'properties', 'of', 'zz', 'ceti', 'stars', 'we', 'present', 'a', 'study', 'of', 'the', 'impact', 'of', 'the', 'chemical', 'structure', 'built', 'up', 'during', 'the', 'tpagb', 'evolution', 'on', 'the', 'stellar', 'parameters', 'inferred', 'from', 'asteroseismological', 'fits', 'of', 'zz', 'ceti', 'stars', 'our', 'analysis', 'is', 'based', 'on', 'a', 'set', 'of', 'carbonoxygen', 'core', 'white', 'dwarf', 'models', 'with', 'masses', 'from', '0534', 'to', '06463m_odot', 'derived', 'from', 'full', 'evolutionary', 'computations', 'from', 'the', 'zams', 'to', 'the', 'zz', 'ceti', 'domain', 'we', 'compute', 'evolutionary', 'sequences', 'that', 'experience', 'different', 'number', 'of', 'thermal', 'pulses', 'we', 'find', 'that', 'the', 'occurrence', 'or', 'not', 'of', 'thermal', 'pulses', 'during', 'agb', 'evolution', 'implies', 'an', 'average', 'deviation', 'in', 'the', 'astero', 'seimological', 'effective', 'temperature', 'of', 'zz', 'ceti', 'stars', 'of', 'at', 'most', '8', 'and', 'of', 'the', 'order', 'of', '5', 'in', 'the', 'stellar', 'mass', 'for', 'the', 'mass', 'of', 'the', 'hydrogen', 'envelope', 'however', 'we', 'find', 'deviations', 'up', 'to', '2', 'orders', 'of', 'magnitude', 'in', 'the', 'case', 'of', 'cool', 'zz', 'ceti', 'stars', 'for', 'hot', 'and', 'intermediate', 'temperature', 'zz', 'ceti', 'stars', 'shows', 'no', 'differences', 'in', 'the', 'hydrogen', 'envelope', 'mass', 'in', 'most', 'cases', 'our', 'results', 'show', 'that', 'in', 'general', 'the', 'impact', 'of', 'the', 'occurrence', 'or', 'not', 'of', 'thermal', 'pulses', 'in', 'the', 'progenitor', 'stars', 'is', 'not', 'negligible', 'and', 'must', 'be', 'taken', 'into', 'account', 'in', 'asteroseismological', 'studies', 'of', 'zz', 'ceti', 'stars']] | [-0.05267292252762231, 0.19784713584669192, -0.07169124022117097, 0.061571698935766146, -0.09820115771402486, -0.03220379678532481, 0.11074699822006329, 0.3638061227804772, -0.17187868174016083, -0.3316631514445578, 0.05467931877560792, -0.28315070509934853, -0.028932280048230476, 0.20599760986403456, -0.02086508355531174, -0.03339213313510587, 0.15592386791310409, -0.009985941027462518, -0.0737999686372166, -0.2801630487127066, 0.31531942143910396, 0.009644022386624243, 0.11373146502331433, -0.07136055380818875, -0.04155999819971075, -0.12111856794919126, -0.06683995351684507, -0.12751396564824807, -0.18806036762361464, -0.053391444931377076, 0.2092226197438775, 0.08409816471265222, 0.17641826768569552, -0.36640561672977207, -0.2234744989929011, 0.06162027003443974, 0.19790402712628052, 0.052450347705046474, -0.05116251075726779, -0.2200635177991884, 0.11028776277980619, -0.1787096988322541, -0.1357548136206447, 0.06637567159467975, 0.05496414592459264, 0.012085410140239382, -0.2568317338176214, 0.07891278277052315, 0.09312773850846562, 0.10019249467676694, -0.1004591224615004, -0.19254062381908238, -0.15625839180567874, 0.09555708109598351, 0.052695513709730975, 0.023929311955311255, 0.15509909565760738, -0.13132657662601488, 0.0010757193876375787, 0.3853612230498729, -0.14902869367658036, 0.005520095069231374, 0.237940471519258, -0.20292082622932447, -0.15320413947979092, 0.14831696046783258, 0.1657498890643254, 0.14895184217354568, -0.1889284453618322, 0.019129248726252216, 0.08270541432462268, 0.192334644763779, 0.06864755736502397, 0.05543879493490826, 0.34255305519448864, 0.20663401112339613, -0.025738710257321815, 0.08651749101840567, -0.21332670249354324, -0.0820087612445803, -0.255931492676467, -0.09238948766900536, -0.0883932789167274, 0.06756406876990224, -0.1475173447173808, -0.18974256099706838, 0.36888223163861666, 0.1079644832869306, 0.20201700320012309, -0.01746531964790877, 0.2682627470987919, 0.10546103545358589, 0.09168573025445657, 0.13670230944570688, 0.3192936943825759, 0.24443975455129174, 0.11393572391292948, -0.3060620189712653, 0.09574862251040019, 0.015593351621836036] |
1,801.1059 | The first simultaneous sign change and non-vanishing of Hecke
eigenvalues of newforms | Let $f$ and $g$ be two distinct newforms which are normalized Hecke
eigenforms of weights $k_1, k_2 \ge 2$ and levels $N_1, N_2 \ge 1$
respectively. Also let $a_f(n)$ and $a_g(n)$ be the $n$-th Fourier-coefficients
of $f$ and $g$ respectively. In this article, we investigate the first sign
change of the sequence $\{a_f(p^{\alpha})a_g(p^{\alpha}) \}_{p^{\alpha} \in \N,
\alpha \le 2}$, where $p$ is a prime number. We further study the non-vanishing
of the sequence $\{a_f(n)a_g(n) \}_{n \in \N}$ and derive bounds for first
non-vanishing term in this sequence. We also show, using ideas of
Kowalski-Robert-Wu and Murty-Murty, that there exists a set of primes $S$ of
natural density one such that for any prime $p \in S$, the sequence
$\{a_f(p^n)a_g(p^m) \}_{n,m \in \N}$ has no zero elements. This improves a
recent work of Kumari and Ram Murty. Finally, using $\B$-free numbers, we
investigate simultaneous non-vanishing of coefficients of $m$-th symmetric
power $L$-functions of non-CM forms in short intervals.
| math.NT | let f and g be two distinct newforms which are normalized hecke eigenforms of weights k_1 k_2 ge 2 and levels n_1 n_2 ge 1 respectively also let a_fn and a_gn be the nth fouriercoefficients of f and g respectively in this article we investigate the first sign change of the sequence a_fpalphaa_gpalpha _palpha in n alpha le 2 where p is a prime number we further study the nonvanishing of the sequence a_fna_gn _n in n and derive bounds for first nonvanishing term in this sequence we also show using ideas of kowalskirobertwu and murtymurty that there exists a set of primes s of natural density one such that for any prime p in s the sequence a_fpna_gpm _nm in n has no zero elements this improves a recent work of kumari and ram murty finally using bfree numbers we investigate simultaneous nonvanishing of coefficients of mth symmetric power lfunctions of noncm forms in short intervals | [['let', 'f', 'and', 'g', 'be', 'two', 'distinct', 'newforms', 'which', 'are', 'normalized', 'hecke', 'eigenforms', 'of', 'weights', 'k_1', 'k_2', 'ge', '2', 'and', 'levels', 'n_1', 'n_2', 'ge', '1', 'respectively', 'also', 'let', 'a_fn', 'and', 'a_gn', 'be', 'the', 'nth', 'fouriercoefficients', 'of', 'f', 'and', 'g', 'respectively', 'in', 'this', 'article', 'we', 'investigate', 'the', 'first', 'sign', 'change', 'of', 'the', 'sequence', 'a_fpalphaa_gpalpha', '_palpha', 'in', 'n', 'alpha', 'le', '2', 'where', 'p', 'is', 'a', 'prime', 'number', 'we', 'further', 'study', 'the', 'nonvanishing', 'of', 'the', 'sequence', 'a_fna_gn', '_n', 'in', 'n', 'and', 'derive', 'bounds', 'for', 'first', 'nonvanishing', 'term', 'in', 'this', 'sequence', 'we', 'also', 'show', 'using', 'ideas', 'of', 'kowalskirobertwu', 'and', 'murtymurty', 'that', 'there', 'exists', 'a', 'set', 'of', 'primes', 's', 'of', 'natural', 'density', 'one', 'such', 'that', 'for', 'any', 'prime', 'p', 'in', 's', 'the', 'sequence', 'a_fpna_gpm', '_nm', 'in', 'n', 'has', 'no', 'zero', 'elements', 'this', 'improves', 'a', 'recent', 'work', 'of', 'kumari', 'and', 'ram', 'murty', 'finally', 'using', 'bfree', 'numbers', 'we', 'investigate', 'simultaneous', 'nonvanishing', 'of', 'coefficients', 'of', 'mth', 'symmetric', 'power', 'lfunctions', 'of', 'noncm', 'forms', 'in', 'short', 'intervals']] | [-0.24283732287585735, 0.15019533247843184, -0.0659860900990765, 0.00937859899826948, -0.009051786957546168, -0.1453276658899482, 0.009147163028141246, 0.3143770464480348, -0.28254520419466267, -0.2737445148683134, 0.030392154520721294, -0.2973710157777239, -0.1284325110066632, 0.1743244192072334, -0.048841360748601736, -0.0229904710521434, 0.01201514976299149, 0.11573891573891844, -0.060174989745320887, -0.2874709948797354, 0.33180155911195347, -0.0651026750780367, 0.13209001031147954, 0.04095943272738849, 0.05396130039093347, -0.0060889629503374535, 0.01484703686363345, -0.05869587092979142, -0.2039662333203975, 0.10177594846061387, 0.2527817663605381, 0.09683934306013305, 0.28936634507755304, -0.3861864693789534, -0.10977872865487065, 0.24144425365648814, 0.14627779912259806, -0.05332257202435785, -0.013528952243794131, -0.177390317004424, 0.20363505114644967, -0.16940126080853526, -0.09870453623604754, -0.03906123986430216, 0.14349220365585896, 0.050836241416142465, -0.3449334439027729, 0.04079219794186807, 0.12668766529161027, 0.11410830261798313, -0.009970587609498293, -0.23695842659057137, -0.004126515353548547, 0.10461264931528061, 0.030641960295779792, 0.060898572054922884, 0.00044632780728174134, -0.08576569896372623, -0.09472783696650208, 0.3211674702185012, -0.13017205164756862, -0.1677164280937122, 0.06962723181514233, -0.22656291903577894, -0.1953179896621646, 0.09046243150380984, 0.10721270311170651, 0.15786053857222299, 0.010973059916056243, 0.17911021477713143, -0.09494839277784121, 0.14662836350722475, 0.148028932633691, -0.02822048873593718, 0.1298010393808402, 0.026650541958917907, 0.06381819967841479, 0.11851904500157091, -0.04844963447141599, 0.08020844733211269, -0.3565352291506309, -0.19424729057331414, -0.20785425243674208, 0.12104932162066884, -0.1165789430422885, -0.1070621427353284, 0.3689388341751675, 0.08397087343068381, 0.22968615732474515, 0.10905057925734069, 0.210452741343253, 0.11823367433954146, -0.007348320762558072, 0.08253190474234672, 0.06099314511528601, 0.17357303480298927, -0.03820331041441743, -0.17753709527357614, -0.002740398395475275, 0.10496006227854714] |
1,801.10591 | Universal level statistics of the out-of-time-ordered operator | The out-of-time-ordered correlator has been proposed as an indicator of chaos
in quantum systems due to its simple interpretation in the semiclassical limit.
In particular, its rate of possible exponential growth at $\hbar \to 0$ is
closely related to the classical Lyapunov exponent. Here we explore how this
approach to quantum chaos relates to the random-matrix theoretical description.
To do so, we introduce and study the level statistics of the logarithm of the
out-of-time-ordered operator, $\hat{\Lambda}(t) = \ln \left( -
\left[\hat{x}(t),\hat{p}_x(0) \right]^2 \right)/(2t)$, that we dub the
"Lyapunovian" or "Lyapunov operator" for brevity. The Lyapunovian's level
statistics is calculated explicitly for the quantum stadium billiard. It is
shown that in the bulk of the filtered spectrum, this statistics perfectly
aligns with the Wigner-Dyson distribution. One of the advantages of looking at
the spectral statistics of this operator is that it has a well-defined
semiclassical limit where it reduces to the matrix of uncorrelated classical
finite-time Lyapunov exponents in a partitioned phase space. We provide a
heuristic picture interpolating these two limits using Moyal quantum mechanics.
Our results show that the Lyapunov operator may serve as a useful tool to
characterize quantum chaos and in particular quantum-to-classical
correspondence in chaotic systems, by connecting the semiclassical Lyapunov
growth at early times, when the quantum effects are weak, to universal level
repulsion that hinges on strong quantum interference effects.
| cond-mat.dis-nn | the outoftimeordered correlator has been proposed as an indicator of chaos in quantum systems due to its simple interpretation in the semiclassical limit in particular its rate of possible exponential growth at hbar to 0 is closely related to the classical lyapunov exponent here we explore how this approach to quantum chaos relates to the randommatrix theoretical description to do so we introduce and study the level statistics of the logarithm of the outoftimeordered operator hatlambdat ln left lefthatxthatp_x0 right2 right2t that we dub the lyapunovian or lyapunov operator for brevity the lyapunovians level statistics is calculated explicitly for the quantum stadium billiard it is shown that in the bulk of the filtered spectrum this statistics perfectly aligns with the wignerdyson distribution one of the advantages of looking at the spectral statistics of this operator is that it has a welldefined semiclassical limit where it reduces to the matrix of uncorrelated classical finitetime lyapunov exponents in a partitioned phase space we provide a heuristic picture interpolating these two limits using moyal quantum mechanics our results show that the lyapunov operator may serve as a useful tool to characterize quantum chaos and in particular quantumtoclassical correspondence in chaotic systems by connecting the semiclassical lyapunov growth at early times when the quantum effects are weak to universal level repulsion that hinges on strong quantum interference effects | [['the', 'outoftimeordered', 'correlator', 'has', 'been', 'proposed', 'as', 'an', 'indicator', 'of', 'chaos', 'in', 'quantum', 'systems', 'due', 'to', 'its', 'simple', 'interpretation', 'in', 'the', 'semiclassical', 'limit', 'in', 'particular', 'its', 'rate', 'of', 'possible', 'exponential', 'growth', 'at', 'hbar', 'to', '0', 'is', 'closely', 'related', 'to', 'the', 'classical', 'lyapunov', 'exponent', 'here', 'we', 'explore', 'how', 'this', 'approach', 'to', 'quantum', 'chaos', 'relates', 'to', 'the', 'randommatrix', 'theoretical', 'description', 'to', 'do', 'so', 'we', 'introduce', 'and', 'study', 'the', 'level', 'statistics', 'of', 'the', 'logarithm', 'of', 'the', 'outoftimeordered', 'operator', 'hatlambdat', 'ln', 'left', 'lefthatxthatp_x0', 'right2', 'right2t', 'that', 'we', 'dub', 'the', 'lyapunovian', 'or', 'lyapunov', 'operator', 'for', 'brevity', 'the', 'lyapunovians', 'level', 'statistics', 'is', 'calculated', 'explicitly', 'for', 'the', 'quantum', 'stadium', 'billiard', 'it', 'is', 'shown', 'that', 'in', 'the', 'bulk', 'of', 'the', 'filtered', 'spectrum', 'this', 'statistics', 'perfectly', 'aligns', 'with', 'the', 'wignerdyson', 'distribution', 'one', 'of', 'the', 'advantages', 'of', 'looking', 'at', 'the', 'spectral', 'statistics', 'of', 'this', 'operator', 'is', 'that', 'it', 'has', 'a', 'welldefined', 'semiclassical', 'limit', 'where', 'it', 'reduces', 'to', 'the', 'matrix', 'of', 'uncorrelated', 'classical', 'finitetime', 'lyapunov', 'exponents', 'in', 'a', 'partitioned', 'phase', 'space', 'we', 'provide', 'a', 'heuristic', 'picture', 'interpolating', 'these', 'two', 'limits', 'using', 'moyal', 'quantum', 'mechanics', 'our', 'results', 'show', 'that', 'the', 'lyapunov', 'operator', 'may', 'serve', 'as', 'a', 'useful', 'tool', 'to', 'characterize', 'quantum', 'chaos', 'and', 'in', 'particular', 'quantumtoclassical', 'correspondence', 'in', 'chaotic', 'systems', 'by', 'connecting', 'the', 'semiclassical', 'lyapunov', 'growth', 'at', 'early', 'times', 'when', 'the', 'quantum', 'effects', 'are', 'weak', 'to', 'universal', 'level', 'repulsion', 'that', 'hinges', 'on', 'strong', 'quantum', 'interference', 'effects']] | [-0.1336300319489134, 0.13894818724112076, -0.16047033262443058, 0.11434988449455226, -0.013906525285567952, -0.1415825999867103, 0.028055656553548018, 0.2937609721682158, -0.28798418768711354, -0.18339176266773105, 0.06892162748903767, -0.28370903946510323, -0.20300795881026615, 0.19822914827111088, -0.05225260378622777, 0.1036693904815735, 0.001096876997279522, 0.06440079357960372, -0.06293619917594023, -0.2048147230251739, 0.3154543824557674, 0.07259121299965826, 0.28557706669240884, 0.06337039399313736, 0.07206274877349127, -0.00724050997316276, 0.0193571141521238, -0.0020697039987128568, -0.15594326980020898, 0.08354935626718364, 0.24073927778831458, 0.0869259727453243, 0.2635313387466892, -0.3978418103466023, -0.1880244369385764, 0.1156354172189282, 0.1704984468420687, 0.10147583747354919, 0.007097081535338471, -0.2830165059297222, 0.0939198600459997, -0.15503984117097983, -0.1637356043676314, -0.0936368751482077, 0.023234250366296533, -0.024361977520075597, -0.24818839290132533, 0.12490728426061265, 0.07569483025042026, 0.03174143676543991, 0.012080874850071933, -0.04372083479496034, 0.008133957780191683, 0.13751167318208002, 0.012793606396479591, 0.01369248897293859, 0.11841487938317058, -0.09480938185155222, -0.15046222681912155, 0.34571378283254744, -0.05449439357587702, -0.20797406090848727, 0.16960396277867087, -0.19626338889005862, -0.13671560214458195, 0.06974083707842245, 0.10760144134834579, 0.0711858755351814, -0.12123942495884266, 0.13999387491231285, -0.009325491178347028, 0.13994550115012108, 0.05295625895891151, 0.09154467676398366, 0.19295128107870416, 0.10056483532625281, 0.07062061245183218, 0.1351529784260326, -0.052354048154014905, -0.203248305006227, -0.31319577023642114, -0.1496374478864539, -0.2393800969635345, 0.09187632743014049, -0.09280091715265877, -0.20541766045238188, 0.3996084272344788, 0.16752459995499622, 0.19682904566770001, 0.07431337097207867, 0.2645868795501817, 0.19479544999739198, 0.03694148305229435, 0.045901696313140415, 0.2437193657624531, 0.15512929094177097, 0.09428737037623786, -0.24446418305399686, 0.021997940555410503, 0.11100290984459664] |
1,801.10592 | Invariant Virtual Solitary Manifold of the Perturbed Sine-Gordon
Equation | We study the perturbed sine-Gordon equation $\theta_{tt}-\theta_{xx}+\sin
\theta= F(\varepsilon,x)$, where we assume that the perturbation $F$ is
analytic in $\varepsilon$ and that its derivatives with respect to
$\varepsilon$ satisfy certain bounds at $\varepsilon=0$. We construct
implicitly an, adjusted to the perturbation $F$, virtual solitary manifold,
which is invariant in the following sense: The initial value problem for the
perturbed sine-Gordon equation with an appropriate initial state on the
constructed manifold has a unique solution, which follows a trajectory on the
virtual solitary manifold. The trajectory is precisely described by two
parameters, which satisfy a specific system of ODEs.
The approach is based on the work of Mashkin (arXiv:1705.05713), where we
constructed by an iteration scheme a virtual solitary manifold for the
perturbed sine-Gordon equation. In arXiv:1705.05713 we proved a stability
result for the perturbed sine-Gordon equation with initial data close to the
virtual solitary manifold. The employed iteration scheme produces a sequence of
virtual solitary manifolds such that the accuracy of the corresponding
stability statements increases after each iteration step, as long as the
perturbation $F$ is sufficiently often differentiable. The invariant virtual
solitary manifold constructed in this work is generated as a limit of the
virtual solitary manifolds produced by the iteration scheme.
The method and the kind of result presented in this paper is to our knowledge
a novelty in the field of stability of solitons.
| math.AP | we study the perturbed sinegordon equation theta_tttheta_xxsin theta fvarepsilonx where we assume that the perturbation f is analytic in varepsilon and that its derivatives with respect to varepsilon satisfy certain bounds at varepsilon0 we construct implicitly an adjusted to the perturbation f virtual solitary manifold which is invariant in the following sense the initial value problem for the perturbed sinegordon equation with an appropriate initial state on the constructed manifold has a unique solution which follows a trajectory on the virtual solitary manifold the trajectory is precisely described by two parameters which satisfy a specific system of odes the approach is based on the work of mashkin arxiv170505713 where we constructed by an iteration scheme a virtual solitary manifold for the perturbed sinegordon equation in arxiv170505713 we proved a stability result for the perturbed sinegordon equation with initial data close to the virtual solitary manifold the employed iteration scheme produces a sequence of virtual solitary manifolds such that the accuracy of the corresponding stability statements increases after each iteration step as long as the perturbation f is sufficiently often differentiable the invariant virtual solitary manifold constructed in this work is generated as a limit of the virtual solitary manifolds produced by the iteration scheme the method and the kind of result presented in this paper is to our knowledge a novelty in the field of stability of solitons | [['we', 'study', 'the', 'perturbed', 'sinegordon', 'equation', 'theta_tttheta_xxsin', 'theta', 'fvarepsilonx', 'where', 'we', 'assume', 'that', 'the', 'perturbation', 'f', 'is', 'analytic', 'in', 'varepsilon', 'and', 'that', 'its', 'derivatives', 'with', 'respect', 'to', 'varepsilon', 'satisfy', 'certain', 'bounds', 'at', 'varepsilon0', 'we', 'construct', 'implicitly', 'an', 'adjusted', 'to', 'the', 'perturbation', 'f', 'virtual', 'solitary', 'manifold', 'which', 'is', 'invariant', 'in', 'the', 'following', 'sense', 'the', 'initial', 'value', 'problem', 'for', 'the', 'perturbed', 'sinegordon', 'equation', 'with', 'an', 'appropriate', 'initial', 'state', 'on', 'the', 'constructed', 'manifold', 'has', 'a', 'unique', 'solution', 'which', 'follows', 'a', 'trajectory', 'on', 'the', 'virtual', 'solitary', 'manifold', 'the', 'trajectory', 'is', 'precisely', 'described', 'by', 'two', 'parameters', 'which', 'satisfy', 'a', 'specific', 'system', 'of', 'odes', 'the', 'approach', 'is', 'based', 'on', 'the', 'work', 'of', 'mashkin', 'arxiv170505713', 'where', 'we', 'constructed', 'by', 'an', 'iteration', 'scheme', 'a', 'virtual', 'solitary', 'manifold', 'for', 'the', 'perturbed', 'sinegordon', 'equation', 'in', 'arxiv170505713', 'we', 'proved', 'a', 'stability', 'result', 'for', 'the', 'perturbed', 'sinegordon', 'equation', 'with', 'initial', 'data', 'close', 'to', 'the', 'virtual', 'solitary', 'manifold', 'the', 'employed', 'iteration', 'scheme', 'produces', 'a', 'sequence', 'of', 'virtual', 'solitary', 'manifolds', 'such', 'that', 'the', 'accuracy', 'of', 'the', 'corresponding', 'stability', 'statements', 'increases', 'after', 'each', 'iteration', 'step', 'as', 'long', 'as', 'the', 'perturbation', 'f', 'is', 'sufficiently', 'often', 'differentiable', 'the', 'invariant', 'virtual', 'solitary', 'manifold', 'constructed', 'in', 'this', 'work', 'is', 'generated', 'as', 'a', 'limit', 'of', 'the', 'virtual', 'solitary', 'manifolds', 'produced', 'by', 'the', 'iteration', 'scheme', 'the', 'method', 'and', 'the', 'kind', 'of', 'result', 'presented', 'in', 'this', 'paper', 'is', 'to', 'our', 'knowledge', 'a', 'novelty', 'in', 'the', 'field', 'of', 'stability', 'of', 'solitons']] | [-0.17521049510105513, 0.06776140184664266, -0.11489592219004408, 0.0687126473146366, -0.06884844330592646, -0.13482661409735947, -0.011050667309193938, 0.32106617072297794, -0.2820304482634778, -0.2427677540017612, 0.09939247415578782, -0.252236544304781, -0.1662028600850525, 0.17213656978336594, -0.04643982084962772, 0.09340247885302233, 0.09812051053346035, 0.10161418828855469, -0.03985231027244091, -0.22473271178231308, 0.42320043083912295, -0.005337800660137353, 0.23754266222074097, -0.0007387208211834409, 0.16504820541480772, -0.01241061861115408, 0.05670257767945129, -0.014579745448177814, -0.14654969069614968, 0.08139205619694881, 0.2181077650134934, 0.0821930467947303, 0.3013333251541813, -0.3892202829634438, -0.19517876715898247, 0.083245969982402, 0.15559486105589063, 0.10366158568597582, -0.03203277518696268, -0.3260389362944157, 0.1157827590135899, -0.12532069654899455, -0.23172789826016274, -0.05661927456302302, 0.014401611984794727, 0.05133065071900741, -0.2804292650507705, 0.02164582676518226, 0.07005490718360566, -0.012750926434819121, -0.11332750588553608, -0.04919989022632113, -0.06469524870980033, 0.07597074108447746, 0.05984598120163095, 0.08559529252254704, 0.08507105472173342, -0.08258158837790168, -0.06521605653025679, 0.36387327188276686, -0.13449384563864442, -0.2924026792586249, 0.10719436639504108, -0.0881233158350889, -0.1303895996270512, 0.14191184345483115, 0.1345912340782109, 0.17178676470315882, -0.09165073745784216, 0.11612311126324519, -0.04112925544489242, 0.1581555531010963, 0.09341318101256288, -0.03382290926986441, 0.08788704880914468, 0.15515320317250111, 0.11334967478095288, 0.11779219762788021, -0.013216788318199437, -0.12991178229536413, -0.3369760911820257, -0.1410510051926914, -0.21136569094752694, 0.060740531429993486, -0.0828924483605858, -0.19026961287298555, 0.38096307610003677, 0.08988404602970539, 0.20373620918274224, 0.06830415952208568, 0.2727642922524995, 0.17619745045444038, -0.002570916180307644, 0.092888733046753, 0.20009266089618905, 0.12181074519841266, 0.10269787658346884, -0.2003759086975541, 0.004535796499112621, 0.1548508607416547] |
1,801.10593 | Contextuality Analysis of the Double Slit Experiment (With a Glimpse
Into Three Slits) | The Contextuality-by-Default theory is illustrated on contextuality analysis
of the idealized double-slit experiment. The experiment is described by a
system of contextually labeled binary random variables each of which answers
the question: has the particle hit the detector, having passed through a given
slit (left or right) in a given state (open or closed)? This system of random
variables is a cyclic system of rank 4, formally the same as the system
describing the EPR/Bell paradigm with signaling. Unlike the latter, however,
the system describing the double-slit experiment is always noncontextual, i.e.,
the context-dependence in it is entirely explainable in terms of direct
influences of contexts (closed-open arrangements of the slits) upon the
marginal distributions of the random variables involved. The analysis presented
is entirely within the framework of abstract classical probability theory (with
contextually labeled random variables). The only physical constraint used in
the analysis is that a particle cannot pass through a closed slit. The
noncontextuality of the double-slit system does not generalize to systems
describing experiments with more than two slits: in an abstract triple-slit
system, almost any set of observable detection probabilities is compatible with
both a contextual scenario and a noncontextual scenario of the particle passing
though various combinations of open and closed slits (although the issue of
physical realizability of these scenarios remains open).
| quant-ph math.PR | the contextualitybydefault theory is illustrated on contextuality analysis of the idealized doubleslit experiment the experiment is described by a system of contextually labeled binary random variables each of which answers the question has the particle hit the detector having passed through a given slit left or right in a given state open or closed this system of random variables is a cyclic system of rank 4 formally the same as the system describing the eprbell paradigm with signaling unlike the latter however the system describing the doubleslit experiment is always noncontextual ie the contextdependence in it is entirely explainable in terms of direct influences of contexts closedopen arrangements of the slits upon the marginal distributions of the random variables involved the analysis presented is entirely within the framework of abstract classical probability theory with contextually labeled random variables the only physical constraint used in the analysis is that a particle cannot pass through a closed slit the noncontextuality of the doubleslit system does not generalize to systems describing experiments with more than two slits in an abstract tripleslit system almost any set of observable detection probabilities is compatible with both a contextual scenario and a noncontextual scenario of the particle passing though various combinations of open and closed slits although the issue of physical realizability of these scenarios remains open | [['the', 'contextualitybydefault', 'theory', 'is', 'illustrated', 'on', 'contextuality', 'analysis', 'of', 'the', 'idealized', 'doubleslit', 'experiment', 'the', 'experiment', 'is', 'described', 'by', 'a', 'system', 'of', 'contextually', 'labeled', 'binary', 'random', 'variables', 'each', 'of', 'which', 'answers', 'the', 'question', 'has', 'the', 'particle', 'hit', 'the', 'detector', 'having', 'passed', 'through', 'a', 'given', 'slit', 'left', 'or', 'right', 'in', 'a', 'given', 'state', 'open', 'or', 'closed', 'this', 'system', 'of', 'random', 'variables', 'is', 'a', 'cyclic', 'system', 'of', 'rank', '4', 'formally', 'the', 'same', 'as', 'the', 'system', 'describing', 'the', 'eprbell', 'paradigm', 'with', 'signaling', 'unlike', 'the', 'latter', 'however', 'the', 'system', 'describing', 'the', 'doubleslit', 'experiment', 'is', 'always', 'noncontextual', 'ie', 'the', 'contextdependence', 'in', 'it', 'is', 'entirely', 'explainable', 'in', 'terms', 'of', 'direct', 'influences', 'of', 'contexts', 'closedopen', 'arrangements', 'of', 'the', 'slits', 'upon', 'the', 'marginal', 'distributions', 'of', 'the', 'random', 'variables', 'involved', 'the', 'analysis', 'presented', 'is', 'entirely', 'within', 'the', 'framework', 'of', 'abstract', 'classical', 'probability', 'theory', 'with', 'contextually', 'labeled', 'random', 'variables', 'the', 'only', 'physical', 'constraint', 'used', 'in', 'the', 'analysis', 'is', 'that', 'a', 'particle', 'can', 'not', 'pass', 'through', 'a', 'closed', 'slit', 'the', 'noncontextuality', 'of', 'the', 'doubleslit', 'system', 'does', 'not', 'generalize', 'to', 'systems', 'describing', 'experiments', 'with', 'more', 'than', 'two', 'slits', 'in', 'an', 'abstract', 'tripleslit', 'system', 'almost', 'any', 'set', 'of', 'observable', 'detection', 'probabilities', 'is', 'compatible', 'with', 'both', 'a', 'contextual', 'scenario', 'and', 'a', 'noncontextual', 'scenario', 'of', 'the', 'particle', 'passing', 'though', 'various', 'combinations', 'of', 'open', 'and', 'closed', 'slits', 'although', 'the', 'issue', 'of', 'physical', 'realizability', 'of', 'these', 'scenarios', 'remains', 'open']] | [-0.1491892229174622, 0.1308819403839893, -0.08764898513203563, 0.06794015468968441, -0.043905235622583874, -0.19715509084537963, 0.06033507582301704, 0.3216285074563756, -0.26257498247751215, -0.29230254250093957, 0.06811356417333278, -0.2638222091995618, -0.11811995794533064, 0.1762252612881219, -0.08309979385609961, 0.060192427386706736, 0.0903488938587115, 0.0894706113826551, -0.03396683378773004, -0.24067035051930813, 0.3261834655306829, 0.044605132763387796, 0.2384077519704103, -0.01206182115037011, 0.13599551828974243, 0.06416795570224237, -0.03225133822265827, 0.050364595245805936, -0.05581261223826449, 0.08704929625825131, 0.23803528107632146, 0.18673229777271022, 0.2387565440451937, -0.41046496111334924, -0.2084924591835841, 0.08675246193743737, 0.14495450801456272, 0.08506222919411367, 0.004929263405283235, -0.3202120812669843, 0.0288822857781031, -0.13867037904520446, -0.12191011955144045, -0.0003623245715909549, -0.002338359983926597, -0.0022686507149359287, -0.255601356682532, 0.044845627023463404, 0.09720433714411883, 0.06560544562391722, -0.03932208402769227, -0.052101187276805655, 0.02154420713664399, 0.10021913929092298, 0.003353903320306128, 0.020683186129789075, 0.138079234784626, -0.12032170025568574, -0.14728802541793404, 0.3877056497549512, 0.007361214422203107, -0.24570480516239393, 0.19647659588609379, -0.15516447631338806, -0.1081377345477589, 0.09569460723435345, 0.08911049705234723, 0.10836276145242639, -0.18403645057854878, 0.09153509427158175, -0.12483293160256757, 0.19614946854994023, 0.082988222122795, 0.02711235954556867, 0.22820195859525674, 0.1726744995332361, 0.014812015019129642, 0.11840518344851102, -0.03197619987639063, -0.1483638286295587, -0.3492437104412199, -0.1643543558604004, -0.17944711868175015, 0.03554914072565513, -0.07113800832513947, -0.1869793056059477, 0.3597210238422204, 0.12397764801396462, 0.17975914181811667, 0.015338107706753461, 0.2833990170641453, 0.09650451152979732, 0.03168863121091443, 0.01796418030185802, 0.19241574289471045, 0.1274778978694736, 0.0739902501432773, -0.16452907276344042, 0.11313518121568865, 0.03316555434745227] |
1,801.10594 | Anisotropic strange stars in Tolman-Kuchowicz spacetime | We attempt to study a singularity-free model for the spherically symmetric
anisotropic strange stars under Einstein's general theory of relativity by
exploiting the Tolman-Kuchowicz metric. Further, we have assumed that the
cosmological constant $\Lambda$ is a scalar variable dependent on the spatial
coordinate $r$. To describe the strange star candidates we have considered that
they are made of strange quark matter (SQM) distribution, which is assumed to
be governed by the MIT bag equation of state. To obtain unknown constants of
the stellar system we match the interior Tolman-Kuchowicz metric to the
exterior modified Schwarzschild metric with the cosmological constant, at the
surface of the system. Following Deb et al. we have predicted the exact values
of the radii for different strange star candidates based on the observed values
of the masses of the stellar objects and the chosen parametric values of the
$\Lambda$ as well as the bag constant $\mathcal{B}$. The set of solutions
satisfies all the physical requirements to represent strange stars.
Interestingly, our study reveals that as the values of the $\Lambda$ and
$\mathcal{B}$ increase the anisotropic system becomes gradually smaller in size
turning the whole system into a more compact ultra-dense stellar object.
| gr-qc | we attempt to study a singularityfree model for the spherically symmetric anisotropic strange stars under einsteins general theory of relativity by exploiting the tolmankuchowicz metric further we have assumed that the cosmological constant lambda is a scalar variable dependent on the spatial coordinate r to describe the strange star candidates we have considered that they are made of strange quark matter sqm distribution which is assumed to be governed by the mit bag equation of state to obtain unknown constants of the stellar system we match the interior tolmankuchowicz metric to the exterior modified schwarzschild metric with the cosmological constant at the surface of the system following deb et al we have predicted the exact values of the radii for different strange star candidates based on the observed values of the masses of the stellar objects and the chosen parametric values of the lambda as well as the bag constant mathcalb the set of solutions satisfies all the physical requirements to represent strange stars interestingly our study reveals that as the values of the lambda and mathcalb increase the anisotropic system becomes gradually smaller in size turning the whole system into a more compact ultradense stellar object | [['we', 'attempt', 'to', 'study', 'a', 'singularityfree', 'model', 'for', 'the', 'spherically', 'symmetric', 'anisotropic', 'strange', 'stars', 'under', 'einsteins', 'general', 'theory', 'of', 'relativity', 'by', 'exploiting', 'the', 'tolmankuchowicz', 'metric', 'further', 'we', 'have', 'assumed', 'that', 'the', 'cosmological', 'constant', 'lambda', 'is', 'a', 'scalar', 'variable', 'dependent', 'on', 'the', 'spatial', 'coordinate', 'r', 'to', 'describe', 'the', 'strange', 'star', 'candidates', 'we', 'have', 'considered', 'that', 'they', 'are', 'made', 'of', 'strange', 'quark', 'matter', 'sqm', 'distribution', 'which', 'is', 'assumed', 'to', 'be', 'governed', 'by', 'the', 'mit', 'bag', 'equation', 'of', 'state', 'to', 'obtain', 'unknown', 'constants', 'of', 'the', 'stellar', 'system', 'we', 'match', 'the', 'interior', 'tolmankuchowicz', 'metric', 'to', 'the', 'exterior', 'modified', 'schwarzschild', 'metric', 'with', 'the', 'cosmological', 'constant', 'at', 'the', 'surface', 'of', 'the', 'system', 'following', 'deb', 'et', 'al', 'we', 'have', 'predicted', 'the', 'exact', 'values', 'of', 'the', 'radii', 'for', 'different', 'strange', 'star', 'candidates', 'based', 'on', 'the', 'observed', 'values', 'of', 'the', 'masses', 'of', 'the', 'stellar', 'objects', 'and', 'the', 'chosen', 'parametric', 'values', 'of', 'the', 'lambda', 'as', 'well', 'as', 'the', 'bag', 'constant', 'mathcalb', 'the', 'set', 'of', 'solutions', 'satisfies', 'all', 'the', 'physical', 'requirements', 'to', 'represent', 'strange', 'stars', 'interestingly', 'our', 'study', 'reveals', 'that', 'as', 'the', 'values', 'of', 'the', 'lambda', 'and', 'mathcalb', 'increase', 'the', 'anisotropic', 'system', 'becomes', 'gradually', 'smaller', 'in', 'size', 'turning', 'the', 'whole', 'system', 'into', 'a', 'more', 'compact', 'ultradense', 'stellar', 'object']] | [-0.10872848144171234, 0.13817060022041774, -0.10321115928654297, 0.07059968214374608, -0.11655578378119502, -0.10742424544281302, 0.029205809463746846, 0.32306250583810303, -0.18585602688388184, -0.3023743905891211, 0.04558356491407045, -0.27153397349592967, -0.04942459517564529, 0.1495989891813877, -0.022904952682363682, 0.05958099274788625, 0.01757069039755525, 0.08075545840204144, -0.07684384390401343, -0.2513052167848517, 0.3996562365215654, 0.024669475003312794, 0.19336370596518884, -0.007041768005225235, 0.09558991434840629, -0.06863610827578948, -0.012871172071362917, 0.03361988921100512, -0.18695329920898449, 0.055174557571836674, 0.1790021332562901, 0.12104784552521335, 0.19917172651188686, -0.3469437497847069, -0.22562172786177445, 0.09103335321713717, 0.10641722065659287, 0.10143672781578528, -0.03422098562982566, -0.30218156596574075, 0.1275762719532045, -0.17991133933791364, -0.1845219777061198, -0.04364413311466193, 0.07871828033135106, 0.02357351671761045, -0.2600763715230502, 0.07651261334838823, 0.03812947462324817, -0.032460547984840396, -0.12876614469031875, -0.16142694230134694, -0.054522572764649224, 0.1039375761616378, 0.07293392590497835, 0.05541961576598577, 0.1303389484110551, -0.13574969577483642, -0.0037108041543083697, 0.4324506127511342, -0.10636371620930732, -0.2095783720891445, 0.14845300222364946, -0.17624997497679523, -0.09566333523402229, 0.06177629199929727, 0.1600163154148807, 0.15853811614215374, -0.14960794345213052, 0.10669858756964692, -0.05726818945199156, 0.18800132772944964, 0.08993686055167555, 0.03876209715769316, 0.2817601437202822, 0.1409553867788651, 0.005860083002167253, 0.09507413798501381, -0.05946505422560641, -0.11220186688393975, -0.30808768015450394, -0.1069245612517429, -0.15142513898213228, 0.06509816195630731, -0.16199133384671324, -0.1837792504268388, 0.3465738959413452, 0.10470755484241706, 0.21205149571387433, 0.016023099557974207, 0.23018745948823216, 0.10061690359777854, 0.06033840024819932, 0.10058470638707662, 0.29249122289892954, 0.1696808518244861, 0.11743976707594135, -0.2426663018966046, 0.03849988248533545, 0.056391303898551716] |
1,801.10595 | Electroweak couplings and LHC constraints on alternative $Z^{\prime}$
models in $E_6$ | We report the most general expression for the chiral charges of a $Z'$ gauge
boson coming from an $E_6$ unification model, as a function of the electroweak
parameters and the charges of the $U(1)$ factors in the chain of subgroups.
These charges are valid for an arbitrary Higgs sector and only depend on the
branching rules of the $E_6$ fundamental representation and the corresponding
rules for the fermionic representations of their subgroups. By assuming $E_6$
unification, the renormalization group equations~(RGE) allow us to calculate
the electroweak parameters at low energies for most of the chains of subgroups
in $E_6$. From RGE and unitary conditions, we show that at low energies there
must be a mixing between the gauge boson of the standard model hypercharge and
the $Z'$. From this, it is possible to delimit the preferred region in the
parameter space for a breaking pattern in $E_6$. In general, without
unification, it is not viable to determine this region; however, for some
models and under certain assumptions, it is possible to limit the corresponding
parameter space. By using the most recent upper limits on the cross-section of
extra gauge vector bosons $Z'$ decaying into dileptons from the ATLAS data at
13~TeV with accumulated luminosities of 36.1~fb$^{-1}$ and 13.3~fb$^{-1}$, we
report the 95$\%$ C.L. lower limits on the $Z'$ mass for the typical $E_6$
benchmark models. We also show the contours in the 95\% C.L. of the $Z'$ mass
bounds for the entire parameter space of $E_6$.
| hep-ph | we report the most general expression for the chiral charges of a z gauge boson coming from an e_6 unification model as a function of the electroweak parameters and the charges of the u1 factors in the chain of subgroups these charges are valid for an arbitrary higgs sector and only depend on the branching rules of the e_6 fundamental representation and the corresponding rules for the fermionic representations of their subgroups by assuming e_6 unification the renormalization group equationsrge allow us to calculate the electroweak parameters at low energies for most of the chains of subgroups in e_6 from rge and unitary conditions we show that at low energies there must be a mixing between the gauge boson of the standard model hypercharge and the z from this it is possible to delimit the preferred region in the parameter space for a breaking pattern in e_6 in general without unification it is not viable to determine this region however for some models and under certain assumptions it is possible to limit the corresponding parameter space by using the most recent upper limits on the crosssection of extra gauge vector bosons z decaying into dileptons from the atlas data at 13tev with accumulated luminosities of 361fb1 and 133fb1 we report the 95 cl lower limits on the z mass for the typical e_6 benchmark models we also show the contours in the 95 cl of the z mass bounds for the entire parameter space of e_6 | [['we', 'report', 'the', 'most', 'general', 'expression', 'for', 'the', 'chiral', 'charges', 'of', 'a', 'z', 'gauge', 'boson', 'coming', 'from', 'an', 'e_6', 'unification', 'model', 'as', 'a', 'function', 'of', 'the', 'electroweak', 'parameters', 'and', 'the', 'charges', 'of', 'the', 'u1', 'factors', 'in', 'the', 'chain', 'of', 'subgroups', 'these', 'charges', 'are', 'valid', 'for', 'an', 'arbitrary', 'higgs', 'sector', 'and', 'only', 'depend', 'on', 'the', 'branching', 'rules', 'of', 'the', 'e_6', 'fundamental', 'representation', 'and', 'the', 'corresponding', 'rules', 'for', 'the', 'fermionic', 'representations', 'of', 'their', 'subgroups', 'by', 'assuming', 'e_6', 'unification', 'the', 'renormalization', 'group', 'equationsrge', 'allow', 'us', 'to', 'calculate', 'the', 'electroweak', 'parameters', 'at', 'low', 'energies', 'for', 'most', 'of', 'the', 'chains', 'of', 'subgroups', 'in', 'e_6', 'from', 'rge', 'and', 'unitary', 'conditions', 'we', 'show', 'that', 'at', 'low', 'energies', 'there', 'must', 'be', 'a', 'mixing', 'between', 'the', 'gauge', 'boson', 'of', 'the', 'standard', 'model', 'hypercharge', 'and', 'the', 'z', 'from', 'this', 'it', 'is', 'possible', 'to', 'delimit', 'the', 'preferred', 'region', 'in', 'the', 'parameter', 'space', 'for', 'a', 'breaking', 'pattern', 'in', 'e_6', 'in', 'general', 'without', 'unification', 'it', 'is', 'not', 'viable', 'to', 'determine', 'this', 'region', 'however', 'for', 'some', 'models', 'and', 'under', 'certain', 'assumptions', 'it', 'is', 'possible', 'to', 'limit', 'the', 'corresponding', 'parameter', 'space', 'by', 'using', 'the', 'most', 'recent', 'upper', 'limits', 'on', 'the', 'crosssection', 'of', 'extra', 'gauge', 'vector', 'bosons', 'z', 'decaying', 'into', 'dileptons', 'from', 'the', 'atlas', 'data', 'at', '13tev', 'with', 'accumulated', 'luminosities', 'of', '361fb1', 'and', '133fb1', 'we', 'report', 'the', '95', 'cl', 'lower', 'limits', 'on', 'the', 'z', 'mass', 'for', 'the', 'typical', 'e_6', 'benchmark', 'models', 'we', 'also', 'show', 'the', 'contours', 'in', 'the', '95', 'cl', 'of', 'the', 'z', 'mass', 'bounds', 'for', 'the', 'entire', 'parameter', 'space', 'of', 'e_6']] | [-0.08616196986533067, 0.19601794028071187, -0.0450530605825794, 0.11355506196917707, -0.0706831849491239, -0.12881610097104043, 0.09665429564460074, 0.3423594102553535, -0.2018190990407287, -0.29446268606106524, 0.09040689763429834, -0.23480081196385819, -0.01874366643663007, 0.17468013004667018, 0.029811098341225098, 0.019166270926495494, 0.008863452426921272, 0.06547888788512954, -0.08408469495747131, -0.2567365425381214, 0.31743575934202367, 0.021378198732072334, 0.24944639470825186, 0.062466011550344265, 0.09950907102864251, -0.0035467287830886294, 0.0005083492581091333, -0.11259697942427249, -0.15493641673128877, 0.11032412890879223, 0.20206665800785722, 0.0725115998648107, 0.13387886685468103, -0.3514454427335533, -0.15007422019376374, 0.16839078496225546, 0.15539578996220849, 0.10102516863224112, -0.034481722815248535, -0.30989301141320924, 0.10128978179714292, -0.19768112404729987, -0.1090168094021062, -0.03656406739543452, -0.007111548927047702, -0.06784485294970256, -0.3081749600423195, 0.10293737164930895, -0.013530089516101068, 0.06273377883201751, -0.04937463007427439, -0.1473908440379777, -0.08558071653080004, 0.0634475897875477, 0.13023363814076608, 0.005451818867052188, 0.12455685063433207, -0.22509661510197415, -0.13364904158038743, 0.4214962835549606, -0.06801180010489723, -0.20182102661556947, 0.1858168551889172, -0.17194585976897944, -0.20040627422963925, 0.12768772334532172, 0.16239789030590995, 0.07914058091863227, -0.13678457609713687, 0.219645036643058, -0.05236387673429534, 0.14173352844024564, 0.02476946948803236, 0.017161991392342434, 0.23559113200773013, 0.14373611144294016, 0.051119467873817125, 0.04375934585896473, -0.05166899447890426, -0.057900778984089886, -0.42653694153442734, -0.13728868750641582, -0.09574896458547837, 0.039427831436025046, -0.1420280365488653, -0.0950827497915464, 0.39313843344590155, 0.1352660997705638, 0.271444108135107, 0.07041142206280263, 0.2053214102720109, 0.11503875605832617, 0.11575760304084291, 0.03768340390286271, 0.2611524251039898, 0.1188232176507762, 0.008256175973238881, -0.18528164492645224, -0.036164248685188374, 0.11063806182842274] |
1,801.10596 | Methods for multiple telescope beam imaging and guiding in the near
infrared | Atmospheric turbulence and precise measurement of the astrometric baseline
vector between any two telescopes are two major challenges in implementing
phase referenced interferometric astrometry and imaging. They limit the
performance of a fibre-fed interferometer by degrading the instrument
sensitivity and astrometric measurements precision and by introducing image
reconstruction errors due to inaccurate phases. A multiple beam acquisition and
guiding camera was built to meet these challenges for a recently commissioned
four beam combiner instrument, GRAVITY, at the ESO Very Large Telescope
Interferometer. For each telescope beam it measures: a) field tip-tilts by
imaging stars in the sky; b) telescope pupil shifts by imaging pupil reference
laser beacons installed on each telescope using a $2 \times 2$ lenslet; c)
higher order aberrations using a $9 \times 9$ Shack-Hartmann. The telescope
pupils are imaged for a visual monitoring while observing. These measurements
enable active field and pupil guiding by actuating a train of tip-tilt mirrors
placed in the pupil and field planes, respectively. The Shack-Hartmann measured
quasi-static aberrations are used to focus the Auxiliary Telescopes and allow
the possibility of correcting the non-common path errors between the Unit
Telescopes adaptive optics systems and GRAVITY. The guiding stabilizes light
injection into single-mode fibres, increasing sensitivity and reducing the
astrometric and image reconstruction errors. The beam guiding enables to
achieve astrometric error less than $50\,\mu$as. Here, we report on the data
reduction methods and laboratory tests of the multiple beam acquisition and
guiding camera and its performance on-sky.
| astro-ph.IM | atmospheric turbulence and precise measurement of the astrometric baseline vector between any two telescopes are two major challenges in implementing phase referenced interferometric astrometry and imaging they limit the performance of a fibrefed interferometer by degrading the instrument sensitivity and astrometric measurements precision and by introducing image reconstruction errors due to inaccurate phases a multiple beam acquisition and guiding camera was built to meet these challenges for a recently commissioned four beam combiner instrument gravity at the eso very large telescope interferometer for each telescope beam it measures a field tiptilts by imaging stars in the sky b telescope pupil shifts by imaging pupil reference laser beacons installed on each telescope using a 2 times 2 lenslet c higher order aberrations using a 9 times 9 shackhartmann the telescope pupils are imaged for a visual monitoring while observing these measurements enable active field and pupil guiding by actuating a train of tiptilt mirrors placed in the pupil and field planes respectively the shackhartmann measured quasistatic aberrations are used to focus the auxiliary telescopes and allow the possibility of correcting the noncommon path errors between the unit telescopes adaptive optics systems and gravity the guiding stabilizes light injection into singlemode fibres increasing sensitivity and reducing the astrometric and image reconstruction errors the beam guiding enables to achieve astrometric error less than 50muas here we report on the data reduction methods and laboratory tests of the multiple beam acquisition and guiding camera and its performance onsky | [['atmospheric', 'turbulence', 'and', 'precise', 'measurement', 'of', 'the', 'astrometric', 'baseline', 'vector', 'between', 'any', 'two', 'telescopes', 'are', 'two', 'major', 'challenges', 'in', 'implementing', 'phase', 'referenced', 'interferometric', 'astrometry', 'and', 'imaging', 'they', 'limit', 'the', 'performance', 'of', 'a', 'fibrefed', 'interferometer', 'by', 'degrading', 'the', 'instrument', 'sensitivity', 'and', 'astrometric', 'measurements', 'precision', 'and', 'by', 'introducing', 'image', 'reconstruction', 'errors', 'due', 'to', 'inaccurate', 'phases', 'a', 'multiple', 'beam', 'acquisition', 'and', 'guiding', 'camera', 'was', 'built', 'to', 'meet', 'these', 'challenges', 'for', 'a', 'recently', 'commissioned', 'four', 'beam', 'combiner', 'instrument', 'gravity', 'at', 'the', 'eso', 'very', 'large', 'telescope', 'interferometer', 'for', 'each', 'telescope', 'beam', 'it', 'measures', 'a', 'field', 'tiptilts', 'by', 'imaging', 'stars', 'in', 'the', 'sky', 'b', 'telescope', 'pupil', 'shifts', 'by', 'imaging', 'pupil', 'reference', 'laser', 'beacons', 'installed', 'on', 'each', 'telescope', 'using', 'a', '2', 'times', '2', 'lenslet', 'c', 'higher', 'order', 'aberrations', 'using', 'a', '9', 'times', '9', 'shackhartmann', 'the', 'telescope', 'pupils', 'are', 'imaged', 'for', 'a', 'visual', 'monitoring', 'while', 'observing', 'these', 'measurements', 'enable', 'active', 'field', 'and', 'pupil', 'guiding', 'by', 'actuating', 'a', 'train', 'of', 'tiptilt', 'mirrors', 'placed', 'in', 'the', 'pupil', 'and', 'field', 'planes', 'respectively', 'the', 'shackhartmann', 'measured', 'quasistatic', 'aberrations', 'are', 'used', 'to', 'focus', 'the', 'auxiliary', 'telescopes', 'and', 'allow', 'the', 'possibility', 'of', 'correcting', 'the', 'noncommon', 'path', 'errors', 'between', 'the', 'unit', 'telescopes', 'adaptive', 'optics', 'systems', 'and', 'gravity', 'the', 'guiding', 'stabilizes', 'light', 'injection', 'into', 'singlemode', 'fibres', 'increasing', 'sensitivity', 'and', 'reducing', 'the', 'astrometric', 'and', 'image', 'reconstruction', 'errors', 'the', 'beam', 'guiding', 'enables', 'to', 'achieve', 'astrometric', 'error', 'less', 'than', '50muas', 'here', 'we', 'report', 'on', 'the', 'data', 'reduction', 'methods', 'and', 'laboratory', 'tests', 'of', 'the', 'multiple', 'beam', 'acquisition', 'and', 'guiding', 'camera', 'and', 'its', 'performance', 'onsky']] | [-0.14254692447689887, 0.1435833062904498, -0.07050311789881925, 0.00248122592063797, -0.08115822421348512, -0.19936172778568703, 0.01723255320938894, 0.4598768031849323, -0.18111928611986125, -0.3842703933739429, 0.1630563054683162, -0.27196571541712483, -0.06975747142063737, 0.256325082176982, -0.12080712630815896, 0.1143800395120744, 0.17230430139619626, -0.09913569202727097, -0.06599886588600883, -0.21878204542813906, 0.22629889170926662, 0.16054855313136746, 0.2611715025354729, -0.08016752271771425, 0.19691144591896823, 0.022084970042538742, -0.08585570137104626, -0.009886614805846303, -0.07217727509066615, 0.08075518213181829, 0.27396779714251385, 0.13193416896701596, 0.22763856383109535, -0.394600416775103, -0.17164907891709558, 0.03391236780640581, 0.11640005600480592, 0.05281565209214457, -0.04490667995479372, -0.3723354499035902, -0.01988755593482604, -0.10386256132537879, -0.14269401778734322, -0.0005963827126923902, -0.040709510714356086, 0.04078352019653575, -0.26157739268205754, -0.06210380724445368, -0.04830542471788732, 0.1546513415804064, -0.06916125628899844, -0.10995023305922624, 0.024403928261185103, 0.15029527120092892, -0.07131777068603891, 0.10189379107613315, 0.1414588607163571, -0.153108736722435, -0.042960339256489476, 0.3738186609971533, -0.03819976931581812, -0.12777978649033317, 0.09669814597232719, -0.20479564638067, -0.06691364919931586, 0.1622789103304009, 0.21448112378776488, 0.09253933915960384, -0.15733689357193165, -0.013335939411959255, 0.11188905992365056, 0.22441325460679432, 0.16019604602682982, 0.0797582469754105, 0.24660441764130822, 0.17050165217321886, 0.11361307293797533, 0.10013609066070919, -0.3384227194505219, 0.02847056858310545, -0.2616047008013843, -0.1320739714495853, -0.1299526817845602, -0.0076311832291951764, -0.08762110936957979, -0.06097265445232514, 0.3415338980194963, 0.18004759645938428, 0.07235874839935744, 0.015277129299018853, 0.42167016629842513, -0.005368675744360305, 0.15167889886286826, -0.024200406320270443, 0.3352528132551921, 0.1259714951159034, 0.1490115842776212, -0.21645287510463698, -0.01358855748932364, 0.004414699011608774] |
1,801.10597 | Model compression for faster structural separation of macromolecules
captured by Cellular Electron Cryo-Tomography | Electron Cryo-Tomography (ECT) enables 3D visualization of macromolecule
structure inside single cells. Macromolecule classification approaches based on
convolutional neural networks (CNN) were developed to separate millions of
macromolecules captured from ECT systematically. However, given the fast
accumulation of ECT data, it will soon become necessary to use CNN models to
efficiently and accurately separate substantially more macromolecules at the
prediction stage, which requires additional computational costs. To speed up
the prediction, we compress classification models into compact neural networks
with little in accuracy for deployment. Specifically, we propose to perform
model compression through knowledge distillation. Firstly, a complex teacher
network is trained to generate soft labels with better classification
feasibility followed by training of customized student networks with simple
architectures using the soft label to compress model complexity. Our tests
demonstrate that our compressed models significantly reduce the number of
parameters and time cost while maintaining similar classification accuracy.
| q-bio.QM cs.CV stat.ML | electron cryotomography ect enables 3d visualization of macromolecule structure inside single cells macromolecule classification approaches based on convolutional neural networks cnn were developed to separate millions of macromolecules captured from ect systematically however given the fast accumulation of ect data it will soon become necessary to use cnn models to efficiently and accurately separate substantially more macromolecules at the prediction stage which requires additional computational costs to speed up the prediction we compress classification models into compact neural networks with little in accuracy for deployment specifically we propose to perform model compression through knowledge distillation firstly a complex teacher network is trained to generate soft labels with better classification feasibility followed by training of customized student networks with simple architectures using the soft label to compress model complexity our tests demonstrate that our compressed models significantly reduce the number of parameters and time cost while maintaining similar classification accuracy | [['electron', 'cryotomography', 'ect', 'enables', '3d', 'visualization', 'of', 'macromolecule', 'structure', 'inside', 'single', 'cells', 'macromolecule', 'classification', 'approaches', 'based', 'on', 'convolutional', 'neural', 'networks', 'cnn', 'were', 'developed', 'to', 'separate', 'millions', 'of', 'macromolecules', 'captured', 'from', 'ect', 'systematically', 'however', 'given', 'the', 'fast', 'accumulation', 'of', 'ect', 'data', 'it', 'will', 'soon', 'become', 'necessary', 'to', 'use', 'cnn', 'models', 'to', 'efficiently', 'and', 'accurately', 'separate', 'substantially', 'more', 'macromolecules', 'at', 'the', 'prediction', 'stage', 'which', 'requires', 'additional', 'computational', 'costs', 'to', 'speed', 'up', 'the', 'prediction', 'we', 'compress', 'classification', 'models', 'into', 'compact', 'neural', 'networks', 'with', 'little', 'in', 'accuracy', 'for', 'deployment', 'specifically', 'we', 'propose', 'to', 'perform', 'model', 'compression', 'through', 'knowledge', 'distillation', 'firstly', 'a', 'complex', 'teacher', 'network', 'is', 'trained', 'to', 'generate', 'soft', 'labels', 'with', 'better', 'classification', 'feasibility', 'followed', 'by', 'training', 'of', 'customized', 'student', 'networks', 'with', 'simple', 'architectures', 'using', 'the', 'soft', 'label', 'to', 'compress', 'model', 'complexity', 'our', 'tests', 'demonstrate', 'that', 'our', 'compressed', 'models', 'significantly', 'reduce', 'the', 'number', 'of', 'parameters', 'and', 'time', 'cost', 'while', 'maintaining', 'similar', 'classification', 'accuracy']] | [0.009924625292664156, 0.03993378494922447, -0.025347177226771444, 0.043939475961585824, -0.0919089708571016, -0.2244436578206318, 0.06597313957895158, 0.45019896403455095, -0.27467751710506894, -0.36239924347387537, 0.04261448648961373, -0.23845966950671485, -0.17812957786548658, 0.17993237880283605, -0.10427600190655997, 0.11222691057662436, 0.1638985501403839, 0.03131290724588521, -0.057114023340619074, -0.2991127574788219, 0.23428179068418983, 0.110747689281234, 0.34503620406675256, -0.0062928531184517494, 0.12726150225338545, -0.016166209468255508, -0.023083161593933633, -0.012153800571456102, -0.04111860375469527, 0.1775646799598702, 0.284613144898258, 0.18781777771014796, 0.29823423678449185, -0.5187031511067344, -0.28408933508728673, 0.0880361471978335, 0.15240340937404023, 0.11793300928938634, -0.0027571373409943207, -0.29430578908439253, 0.1068213462357678, -0.16498368516901896, -0.005199769314928543, -0.18579281651689952, -0.031765016170856135, -0.025621642757850956, -0.26718747202539816, 0.04032075433248041, 0.03691052869720159, 0.025923611277451852, -0.03473556045545952, -0.09123450620562829, -0.014046600541637448, 0.17625534068480533, -0.010316025937052643, 0.06602676587816853, 0.16008469231439218, -0.1979304247816256, -0.10323814427614487, 0.3454937921124417, -0.00871500228695734, -0.21495656445372424, 0.23820655303694707, -0.03516007916401797, -0.14739441084706742, 0.17460271228931457, 0.27870673146536384, 0.06837600793364464, -0.1576859633068729, -0.03646468564683584, 0.026665278854186104, 0.2353850744880311, 0.06070222219314751, -0.052370749678050214, 0.1708384914090857, 0.3205616506591639, -0.016153020731129702, 0.15430263547076775, -0.13335919492853018, -0.043867917625146025, -0.15637424320057536, -0.09570407645695611, -0.1922148388322918, 0.0074535435059376615, -0.09737421329669974, -0.13848445783119223, 0.41469817237315965, 0.2018808026316782, 0.2098847302555844, 0.13697002560990995, 0.3677454474163335, -0.01787602973651866, 0.16519175933661476, 0.10845797303939025, 0.1679165583641437, 0.03886206233373925, 0.12683129129500048, -0.15248871779330261, 0.07164152961180564, 0.07927765934368683] |
1,801.10598 | Drawdown and drawup for fractional Brownian motion with trend | In this paper, we consider the drawdown and drawup of the fractional Brownian
motion with trend, which corresponds to the logarithm of geometric fractional
Brownian motion representing the stock price in financial market. We derive the
asymptotics of tail probabilities of the maximum drawdown and maximum drawup as
the threshold goes to infinity, respectively. It turns out that the extremes of
drawdown leads to new scenarios of asymptotics depending on Hurst index of
fractional Brownian motion.
| math.PR | in this paper we consider the drawdown and drawup of the fractional brownian motion with trend which corresponds to the logarithm of geometric fractional brownian motion representing the stock price in financial market we derive the asymptotics of tail probabilities of the maximum drawdown and maximum drawup as the threshold goes to infinity respectively it turns out that the extremes of drawdown leads to new scenarios of asymptotics depending on hurst index of fractional brownian motion | [['in', 'this', 'paper', 'we', 'consider', 'the', 'drawdown', 'and', 'drawup', 'of', 'the', 'fractional', 'brownian', 'motion', 'with', 'trend', 'which', 'corresponds', 'to', 'the', 'logarithm', 'of', 'geometric', 'fractional', 'brownian', 'motion', 'representing', 'the', 'stock', 'price', 'in', 'financial', 'market', 'we', 'derive', 'the', 'asymptotics', 'of', 'tail', 'probabilities', 'of', 'the', 'maximum', 'drawdown', 'and', 'maximum', 'drawup', 'as', 'the', 'threshold', 'goes', 'to', 'infinity', 'respectively', 'it', 'turns', 'out', 'that', 'the', 'extremes', 'of', 'drawdown', 'leads', 'to', 'new', 'scenarios', 'of', 'asymptotics', 'depending', 'on', 'hurst', 'index', 'of', 'fractional', 'brownian', 'motion']] | [-0.08766410612550221, 0.1253070032322093, -0.1357886303020151, 0.07488785861029387, -0.0966631875765559, -0.1038285093535179, 0.10653943653941449, 0.34189112094770135, -0.31169184935463007, -0.25839790201892976, 0.1572452519965162, -0.3164779165465581, -0.12510680545145939, 0.12915550324587935, -0.1701969354977145, 0.07168267022720293, -0.03525843458421724, 0.051272961409076265, 0.049056540901993254, -0.19892729956374847, 0.23149851462068527, 0.04646670121062351, 0.22255305815978269, -0.012889161489989706, 0.15597209762429548, -0.010192162731025172, -0.07505335264202011, -0.02100667340288821, -0.2360644941376162, 0.11136444137235613, 0.1639941794993846, 0.020583198669268506, 0.34533615273080376, -0.37308752193654837, -0.13297478984551211, 0.15804625148149698, 0.09978390650174238, -0.019255970060935636, 0.1059919208530214, -0.27981854385794386, -0.0035127961646618418, -0.17375785967727242, -0.15522772600678236, 0.004673567649565245, 0.1348627647875171, 0.06772904556955357, -0.28666594411295493, 0.17705345876196302, 0.07468793766058393, -0.0031768226579419875, -0.027644970809648697, -0.13646878514402105, -0.019448537845164537, 0.10951684843013554, 0.2039753688104132, -0.11399232880457451, 0.16330330426142992, -0.13065234556683877, -0.19407783617191998, 0.36639172328930153, -0.12907522539363095, -0.17742485668522454, 0.07704567040721151, -0.2594098013850223, -0.09582711851812507, 0.14565926623886058, 0.1987594365951066, 0.10101739247329533, -0.15561076935601273, 0.07880019180715624, -0.005254553159159657, 0.10665963180240635, 0.1716154926505528, -0.013890022222001693, 0.16076864393605655, 0.15955252984636709, 0.2160812257421448, 0.21897793178887745, -0.16168936825124547, -0.2263740652155033, -0.3726845416975649, -0.18474289041478187, -0.17374479358917788, 0.12659490978081808, -0.21318629790843452, -0.20027769102077736, 0.3685837213048025, 0.18076949794531652, 0.18249238744427107, 0.1468329419072497, 0.1588798397661824, 0.27545026564621367, -0.11090507324000723, 0.06355184727535264, 0.12690836491406357, 0.07183734636361662, 0.1525385526413294, -0.22649009833816977, 0.1190012240427007, 0.0826389605277463] |
1,801.10599 | Modeling and Multi-objective Optimization of a Kind of Teaching
Manipulator | A new kind of six degree-of-freedom teaching manipulator without actuators is
designed, for recording and conveniently setting a trajectory of an industrial
robot. The device requires good gravity balance and operating force performance
to ensure being controlled easily and fluently. In this paper, we propose a
process for modeling the manipulator and then the model is used to formulate a
multi-objective optimization problem to optimize the design of the testing
manipulator. Three objectives, including total mass of the device, gravity
balancing and operating force performance are analyzed and defined. A popular
non-dominated sorting genetic algorithm (NSGA-II-CDP) is used to solve the
optimization problem. The obtained solutions all outperform the design of a
human expert. To extract design knowledge, an innovization study is performed
to establish meaningful implicit relationship between the objective space and
the decision space, which can be reused by the designer in future design
process.
| cs.RO | a new kind of six degreeoffreedom teaching manipulator without actuators is designed for recording and conveniently setting a trajectory of an industrial robot the device requires good gravity balance and operating force performance to ensure being controlled easily and fluently in this paper we propose a process for modeling the manipulator and then the model is used to formulate a multiobjective optimization problem to optimize the design of the testing manipulator three objectives including total mass of the device gravity balancing and operating force performance are analyzed and defined a popular nondominated sorting genetic algorithm nsgaiicdp is used to solve the optimization problem the obtained solutions all outperform the design of a human expert to extract design knowledge an innovization study is performed to establish meaningful implicit relationship between the objective space and the decision space which can be reused by the designer in future design process | [['a', 'new', 'kind', 'of', 'six', 'degreeoffreedom', 'teaching', 'manipulator', 'without', 'actuators', 'is', 'designed', 'for', 'recording', 'and', 'conveniently', 'setting', 'a', 'trajectory', 'of', 'an', 'industrial', 'robot', 'the', 'device', 'requires', 'good', 'gravity', 'balance', 'and', 'operating', 'force', 'performance', 'to', 'ensure', 'being', 'controlled', 'easily', 'and', 'fluently', 'in', 'this', 'paper', 'we', 'propose', 'a', 'process', 'for', 'modeling', 'the', 'manipulator', 'and', 'then', 'the', 'model', 'is', 'used', 'to', 'formulate', 'a', 'multiobjective', 'optimization', 'problem', 'to', 'optimize', 'the', 'design', 'of', 'the', 'testing', 'manipulator', 'three', 'objectives', 'including', 'total', 'mass', 'of', 'the', 'device', 'gravity', 'balancing', 'and', 'operating', 'force', 'performance', 'are', 'analyzed', 'and', 'defined', 'a', 'popular', 'nondominated', 'sorting', 'genetic', 'algorithm', 'nsgaiicdp', 'is', 'used', 'to', 'solve', 'the', 'optimization', 'problem', 'the', 'obtained', 'solutions', 'all', 'outperform', 'the', 'design', 'of', 'a', 'human', 'expert', 'to', 'extract', 'design', 'knowledge', 'an', 'innovization', 'study', 'is', 'performed', 'to', 'establish', 'meaningful', 'implicit', 'relationship', 'between', 'the', 'objective', 'space', 'and', 'the', 'decision', 'space', 'which', 'can', 'be', 'reused', 'by', 'the', 'designer', 'in', 'future', 'design', 'process']] | [-0.12173622867638438, -0.0008359885290827088, -0.08170574255737251, 0.0346343699008967, -0.1549036599663568, -0.20905363408784414, 0.03782783568242629, 0.40949864268046, -0.2797782660558306, -0.38663848397996403, 0.10123868371231545, -0.1891791044766533, -0.1724347218100367, 0.20097524002676123, -0.11636828845687981, 0.12445425947742729, 0.06909754554227251, 0.0020695985294878483, -0.013069921123377721, -0.2395976090924172, 0.268619670010782, 0.06548960199258451, 0.2892432924231579, -0.006503485233105462, 0.16599858104781215, 0.02125647744677704, 0.008947236292818883, 0.009451298945149856, -0.10872617350742703, 0.13982554479855402, 0.3128910187952991, 0.19894385278738777, 0.32617316907592886, -0.4203303887284008, -0.17394078305023242, 0.10124734421100082, 0.10515237314112741, 0.028775636931271133, -0.02537919238595099, -0.2698206283537478, 0.06670097542067605, -0.13943666003259092, -0.08807862717979427, -0.09130544380710363, -0.06226303337848392, -0.016100420200683432, -0.3399243404189574, -0.06636786016731941, -0.009722944853249295, 0.05810080626497752, -0.07210514385991826, -0.09603896128206417, 0.024017319751196895, 0.20045634436356868, 0.017930321843796893, 0.03387325859050556, 0.18451924735744452, -0.10782734961610223, -0.17115449303889582, 0.41306228521440563, 0.016879316111063136, -0.27305768881763876, 0.16382821363091854, -0.018920104382238512, -0.08442300481336384, 0.10513733932106145, 0.24631981257156566, 0.12448615117143069, -0.24994124723277214, 0.01756908588215773, 0.011627798485730229, 0.17302591685960392, 0.05683130915758425, -0.05329078835403097, 0.17091305576975394, 0.25776067994021135, 0.10084631696126649, 0.17471630825612952, -0.04706849798817059, -0.10148167425830816, -0.2666578451990439, -0.17912858572371046, -0.15964131523003994, -0.029712968342134664, -0.08153947821972843, -0.11639427069317677, 0.36367835423042033, 0.186220874775458, 0.12432278268167685, 0.07369050631572589, 0.3456688194776532, 0.075398914676545, 0.06294963019137303, 0.056491004826565244, 0.2306117735064492, 0.03618701166666016, 0.13942729420959948, -0.24785868876517334, 0.08954139019458972, 0.03210807529535016] |
1,801.106 | Global gyrokinetic simulations of intrinsic rotation in ASDEX Upgrade
Ohmic L-mode plasmas | Non-linear, radially global, turbulence simulations of ASDEX Upgrade (AUG)
plasmas are performed and the nonlinear generated intrinsic flow shows
agreement with the intrinsic flow gradients measured in the core of Ohmic
L-mode plasmas at nominal parameters. Simulations utilising the kinetic
electron model show hollow intrinsic flow profiles as seen in a predominant
number of experiments performed at similar plasma parameters. In addition,
significantly larger flow gradients are seen than in a previous flux-tube
analysis (Hornsby et al {\it Nucl. Fusion} (2017)). Adiabatic electron model
simulations can show a flow profile with opposing sign in the gradient with
respect to a kinetic electron simulation, implying a reversal in the sign of
the residual stress due to kinetic electrons. The shaping of the intrinsic flow
is strongly determined by the density gradient profile. The sensitivity of the
residual stress to variations in density profile curvature is calculated and
seen to be significantly stronger than to neoclassical flows (Hornsby et al
{\it Nucl. Fusion} (2017)). This variation is strong enough on its own to
explain the large variations in the intrinsic flow gradients seen in some AUG
experiments. Analysis of the symmetry breaking properties of the turbulence
shows that profile shearing is the dominant mechanism in producing a finite
parallel wave-number, with turbulence gradient effects contributing a smaller
portion of the parallel wave-vector.
| physics.plasm-ph | nonlinear radially global turbulence simulations of asdex upgrade aug plasmas are performed and the nonlinear generated intrinsic flow shows agreement with the intrinsic flow gradients measured in the core of ohmic lmode plasmas at nominal parameters simulations utilising the kinetic electron model show hollow intrinsic flow profiles as seen in a predominant number of experiments performed at similar plasma parameters in addition significantly larger flow gradients are seen than in a previous fluxtube analysis hornsby et al it nucl fusion 2017 adiabatic electron model simulations can show a flow profile with opposing sign in the gradient with respect to a kinetic electron simulation implying a reversal in the sign of the residual stress due to kinetic electrons the shaping of the intrinsic flow is strongly determined by the density gradient profile the sensitivity of the residual stress to variations in density profile curvature is calculated and seen to be significantly stronger than to neoclassical flows hornsby et al it nucl fusion 2017 this variation is strong enough on its own to explain the large variations in the intrinsic flow gradients seen in some aug experiments analysis of the symmetry breaking properties of the turbulence shows that profile shearing is the dominant mechanism in producing a finite parallel wavenumber with turbulence gradient effects contributing a smaller portion of the parallel wavevector | [['nonlinear', 'radially', 'global', 'turbulence', 'simulations', 'of', 'asdex', 'upgrade', 'aug', 'plasmas', 'are', 'performed', 'and', 'the', 'nonlinear', 'generated', 'intrinsic', 'flow', 'shows', 'agreement', 'with', 'the', 'intrinsic', 'flow', 'gradients', 'measured', 'in', 'the', 'core', 'of', 'ohmic', 'lmode', 'plasmas', 'at', 'nominal', 'parameters', 'simulations', 'utilising', 'the', 'kinetic', 'electron', 'model', 'show', 'hollow', 'intrinsic', 'flow', 'profiles', 'as', 'seen', 'in', 'a', 'predominant', 'number', 'of', 'experiments', 'performed', 'at', 'similar', 'plasma', 'parameters', 'in', 'addition', 'significantly', 'larger', 'flow', 'gradients', 'are', 'seen', 'than', 'in', 'a', 'previous', 'fluxtube', 'analysis', 'hornsby', 'et', 'al', 'it', 'nucl', 'fusion', '2017', 'adiabatic', 'electron', 'model', 'simulations', 'can', 'show', 'a', 'flow', 'profile', 'with', 'opposing', 'sign', 'in', 'the', 'gradient', 'with', 'respect', 'to', 'a', 'kinetic', 'electron', 'simulation', 'implying', 'a', 'reversal', 'in', 'the', 'sign', 'of', 'the', 'residual', 'stress', 'due', 'to', 'kinetic', 'electrons', 'the', 'shaping', 'of', 'the', 'intrinsic', 'flow', 'is', 'strongly', 'determined', 'by', 'the', 'density', 'gradient', 'profile', 'the', 'sensitivity', 'of', 'the', 'residual', 'stress', 'to', 'variations', 'in', 'density', 'profile', 'curvature', 'is', 'calculated', 'and', 'seen', 'to', 'be', 'significantly', 'stronger', 'than', 'to', 'neoclassical', 'flows', 'hornsby', 'et', 'al', 'it', 'nucl', 'fusion', '2017', 'this', 'variation', 'is', 'strong', 'enough', 'on', 'its', 'own', 'to', 'explain', 'the', 'large', 'variations', 'in', 'the', 'intrinsic', 'flow', 'gradients', 'seen', 'in', 'some', 'aug', 'experiments', 'analysis', 'of', 'the', 'symmetry', 'breaking', 'properties', 'of', 'the', 'turbulence', 'shows', 'that', 'profile', 'shearing', 'is', 'the', 'dominant', 'mechanism', 'in', 'producing', 'a', 'finite', 'parallel', 'wavenumber', 'with', 'turbulence', 'gradient', 'effects', 'contributing', 'a', 'smaller', 'portion', 'of', 'the', 'parallel', 'wavevector']] | [-0.11155492756826624, 0.15620083109560337, -0.08380049104294317, 0.049715780466265805, -0.029665228508582168, -0.07418470490850847, -0.05722753474996849, 0.3712760071524165, -0.2549783602526242, -0.3332807715000606, 0.03652973341205242, -0.25169144691687756, -0.06601804578041827, 0.1809469577946319, -0.025610441193831237, 0.05018120947140481, 0.05298782404596833, -0.04915564935231073, -0.05374237244885245, -0.1738805380321785, 0.22748781673514962, 0.14231032152575526, 0.34189072707773777, 0.05687479591208764, 0.06573372779265893, -0.05771399669730189, -0.06652734332548624, 0.08720433946529572, -0.12103154489764578, 0.0519640762062574, 0.17115051840876483, -0.0015887816553004086, 0.2422368750439835, -0.45316083896905185, -0.28433892607043326, 0.028097466633401135, 0.14062444082969291, 0.09456380761270834, -0.055934976573123345, -0.21633527110838754, 0.06995381520484278, -0.1707921371271368, -0.12309479405680164, -0.02163460768378255, 0.044624966067071496, 0.03824697627093304, -0.2969655525775372, 0.1612045094222677, 0.06322191916829482, 0.08842388809743253, -0.06947759442634627, -0.10114950102076611, -0.10523054689930922, 0.025640496240653607, 0.07640902602050284, 0.0852425985313444, 0.20086593735084698, -0.1535492428864183, -0.059008414319462396, 0.36031390699049964, -0.09744961274315177, -0.14828559938826152, 0.19135502040047536, -0.16721887714864517, -0.06495608581740685, 0.1744405209869993, 0.16702616698246195, 0.0778039996406402, -0.0676398389460122, 0.03416705082689243, -0.041133239337200804, 0.1694283615866549, 0.06006758848379832, -0.06401189194217625, 0.19560765389099039, 0.12871007641343485, 0.05513232247057286, 0.10856567518256435, -0.1262884196055397, -0.09111615420499054, -0.27747870578896255, -0.0946327297101644, -0.13086665060413494, 0.01794147864936597, -0.04629276261905695, -0.14307459934445269, 0.39018691351256246, 0.14743254961133723, 0.21742540685002248, -0.03247141378021545, 0.30313870029269974, 0.1342951747202526, 0.07816061563789845, 0.15872780542439696, 0.3039204685934237, 0.1863147563057613, 0.16092850999610328, -0.3020743481296284, 0.07007326776563952, 0.046011575463291425] |
1,801.10601 | Incorporating particle flexibility in a density functional description
of nematics and cholesterics | We describe a general implementation of the Fynewever-Yethiraj density
functional theory (DFT) for the investigation of nematic and cholesteric
self-assembly in arbitrary solutions of semi-flexible polymers. The basic
assumptions of the theory are discussed in the context of other generalised
Onsager descriptions for flexible polyatomic systems. The location of the
isotropic-to-nematic phase transition is found to be in good agreement with
molecular simulations for elongated chains up to relatively high polymer
flexibilities, although the predictions of the theory in the nematic regime
lead to gradual underestimations of order parameters with decreasing particle
stiffness. This shortcoming is attributed to increasing overestimations of the
molecular conformational entropy in higher-density phases, which may not be
easily addressed in the formalism of DFT for realistic particle models.
Practical consequences of these limitations are illustrated through the
application of DFT to systems of near-persistence-length DNA duplexes, whose
cholesteric behaviour is found to be strongly contingent on their detailed
accessible conformational space in concentrated solutions.
| cond-mat.soft cond-mat.stat-mech | we describe a general implementation of the fyneweveryethiraj density functional theory dft for the investigation of nematic and cholesteric selfassembly in arbitrary solutions of semiflexible polymers the basic assumptions of the theory are discussed in the context of other generalised onsager descriptions for flexible polyatomic systems the location of the isotropictonematic phase transition is found to be in good agreement with molecular simulations for elongated chains up to relatively high polymer flexibilities although the predictions of the theory in the nematic regime lead to gradual underestimations of order parameters with decreasing particle stiffness this shortcoming is attributed to increasing overestimations of the molecular conformational entropy in higherdensity phases which may not be easily addressed in the formalism of dft for realistic particle models practical consequences of these limitations are illustrated through the application of dft to systems of nearpersistencelength dna duplexes whose cholesteric behaviour is found to be strongly contingent on their detailed accessible conformational space in concentrated solutions | [['we', 'describe', 'a', 'general', 'implementation', 'of', 'the', 'fyneweveryethiraj', 'density', 'functional', 'theory', 'dft', 'for', 'the', 'investigation', 'of', 'nematic', 'and', 'cholesteric', 'selfassembly', 'in', 'arbitrary', 'solutions', 'of', 'semiflexible', 'polymers', 'the', 'basic', 'assumptions', 'of', 'the', 'theory', 'are', 'discussed', 'in', 'the', 'context', 'of', 'other', 'generalised', 'onsager', 'descriptions', 'for', 'flexible', 'polyatomic', 'systems', 'the', 'location', 'of', 'the', 'isotropictonematic', 'phase', 'transition', 'is', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'molecular', 'simulations', 'for', 'elongated', 'chains', 'up', 'to', 'relatively', 'high', 'polymer', 'flexibilities', 'although', 'the', 'predictions', 'of', 'the', 'theory', 'in', 'the', 'nematic', 'regime', 'lead', 'to', 'gradual', 'underestimations', 'of', 'order', 'parameters', 'with', 'decreasing', 'particle', 'stiffness', 'this', 'shortcoming', 'is', 'attributed', 'to', 'increasing', 'overestimations', 'of', 'the', 'molecular', 'conformational', 'entropy', 'in', 'higherdensity', 'phases', 'which', 'may', 'not', 'be', 'easily', 'addressed', 'in', 'the', 'formalism', 'of', 'dft', 'for', 'realistic', 'particle', 'models', 'practical', 'consequences', 'of', 'these', 'limitations', 'are', 'illustrated', 'through', 'the', 'application', 'of', 'dft', 'to', 'systems', 'of', 'nearpersistencelength', 'dna', 'duplexes', 'whose', 'cholesteric', 'behaviour', 'is', 'found', 'to', 'be', 'strongly', 'contingent', 'on', 'their', 'detailed', 'accessible', 'conformational', 'space', 'in', 'concentrated', 'solutions']] | [-0.11946642363242282, 0.1707836956699278, -0.07934011771658044, 0.055388888265569786, -0.02749422165286389, -0.14792366107854588, 0.021110115328115547, 0.38893011163706614, -0.2554558544200222, -0.27379921627984305, 0.05539035219417375, -0.23433478128544655, -0.15854854143230587, 0.14719773275083656, -0.024156728189936867, 0.05832963510398652, 0.018357475860649425, -0.018974549036212027, -0.08283511857401318, -0.18892173950595983, 0.22518600246151257, 0.0701598307309868, 0.2740238189458503, 0.06494373959862883, 0.03114260331235209, -0.03544695869356132, 0.03674867170845057, 0.052925097377737984, -0.20944965463784185, 0.148277552082844, 0.2938378851954237, 0.012955947636751232, 0.216466225766737, -0.49892272924778946, -0.24671683723854412, 0.06492353566910383, 0.15659924967890712, 0.14954760321545724, -0.02404131323238538, -0.2502761824044642, 0.07749861158774632, -0.1829927258762964, -0.18110989050785448, -0.10838311153225257, 0.002975647284346781, 0.09294580282038374, -0.2010046094329731, 0.11439878750847546, 0.025347069668091218, 0.07167271682606999, -0.0712076368190016, -0.09295517326537282, -0.02461619682574443, 0.05931215849334291, 0.0846547096460512, 0.01794266492235148, 0.21280135626008936, -0.13821831709634108, -0.07434666102491082, 0.42057431918705346, -0.002697716586463818, -0.18950848143464724, 0.21641584947278167, -0.13801428490063652, -0.17558090763973297, 0.19153939749360394, 0.11972047125766422, 0.10381993684016026, -0.12846037244000086, 0.06397495436026851, 0.014872625751189509, 0.19686022192791436, 0.036585024004849566, 0.031000330498407575, 0.22949759890384688, 0.18342317373693512, 0.010771654132504468, 0.1510758416509926, -0.02385633030852932, -0.19913605142942375, -0.2531055383870651, -0.1635525156386283, -0.17078707370592672, -0.007244765217127545, -0.10045017952469822, -0.20518995203362528, 0.35496419371301485, 0.13417198889218507, 0.14498729817569256, 0.03075013259072806, 0.20933387902636486, 0.07871204431044163, 0.032522636751946846, -0.027505873924916147, 0.23319501508988297, 0.16536922068898655, 0.08192611971401438, -0.2393852261215401, 0.09708019733357771, 0.027675165865232183] |
1,801.10602 | Variational model for one-dimensional quantum magnets | A new variational technique for investigation of the ground state and
correlation functions in 1D quantum magnets is proposed. A spin Hamiltonian is
reduced to a fermionic representation by the Jordan-Wigner transformation. The
ground state is described by a new non-local trial wave function, and the total
energy is calculated in an analytic form as a function of two variational
parameters. This approach is demonstrated with an example of the XXZ-chain of
spin-1/2 under a staggered magnetic field. Generalizations and applications of
the variational technique for low-dimensional magnetic systems are discussed.
| cond-mat.str-el | a new variational technique for investigation of the ground state and correlation functions in 1d quantum magnets is proposed a spin hamiltonian is reduced to a fermionic representation by the jordanwigner transformation the ground state is described by a new nonlocal trial wave function and the total energy is calculated in an analytic form as a function of two variational parameters this approach is demonstrated with an example of the xxzchain of spin12 under a staggered magnetic field generalizations and applications of the variational technique for lowdimensional magnetic systems are discussed | [['a', 'new', 'variational', 'technique', 'for', 'investigation', 'of', 'the', 'ground', 'state', 'and', 'correlation', 'functions', 'in', '1d', 'quantum', 'magnets', 'is', 'proposed', 'a', 'spin', 'hamiltonian', 'is', 'reduced', 'to', 'a', 'fermionic', 'representation', 'by', 'the', 'jordanwigner', 'transformation', 'the', 'ground', 'state', 'is', 'described', 'by', 'a', 'new', 'nonlocal', 'trial', 'wave', 'function', 'and', 'the', 'total', 'energy', 'is', 'calculated', 'in', 'an', 'analytic', 'form', 'as', 'a', 'function', 'of', 'two', 'variational', 'parameters', 'this', 'approach', 'is', 'demonstrated', 'with', 'an', 'example', 'of', 'the', 'xxzchain', 'of', 'spin12', 'under', 'a', 'staggered', 'magnetic', 'field', 'generalizations', 'and', 'applications', 'of', 'the', 'variational', 'technique', 'for', 'lowdimensional', 'magnetic', 'systems', 'are', 'discussed']] | [-0.14071050267871266, 0.15793893260370867, -0.06250479297999006, 0.08224309900018213, -0.04057142809852139, -0.10540729004807853, -0.004396492402980124, 0.3540838612755249, -0.24461483050158228, -0.2831820531436089, 0.0527914916293102, -0.2483031504408835, -0.16290201389507114, 0.21415259705467538, 0.05780156340531923, 0.1012372860101635, 0.040581645334336475, 0.04794730958375302, -0.15653412554740578, -0.1780598691695339, 0.31596894069973913, 0.0004324545344378758, 0.2855770816760404, 0.03747709474851285, 0.12496018961358529, 0.04610980631896182, 0.09301295843753186, 0.006420277509388033, -0.10300047927955677, 0.10963660320471767, 0.1992250070037259, 0.060900675045879, 0.26336066107582917, -0.403831472620368, -0.24786542733660438, 0.02868779377172609, 0.10326327735066905, 0.16387069267655754, -0.04701562410036286, -0.34032887326819555, 0.006257827429530712, -0.19494715835489743, -0.1700353336387447, -0.158416406312896, -0.02290468638286936, 0.01884634338401176, -0.3099587340532178, 0.08061751367403214, 0.043935763194215494, 0.0725292115891864, -0.10725688278498538, -0.12664953044584984, -0.013202145899093331, 0.048734825933454455, 0.006554595794743643, 0.10320222095310033, 0.07122596338964425, -0.16088765814317044, -0.1281416371489036, 0.34800845404042974, -0.06421364800093675, -0.25684590611074654, 0.13369493709959007, -0.050540492245620426, -0.11471642392615859, 0.10757761374934689, 0.12164050184579177, 0.1329000683931204, -0.2126866816389528, 0.09524318041443981, -0.046620630566894264, 0.1405476988216473, -0.03700580102504118, 0.012339356652164197, 0.1802835079462646, 0.1698122754549751, 0.09422419344044321, 0.21280685796371693, -0.07685868869852888, -0.15000923259112126, -0.2761311202443072, -0.21081110341781442, -0.29340287144449384, 0.05407603291822163, -0.0404085431724165, -0.17905811095548854, 0.4418531830325354, 0.09459875528649478, 0.15053210625486388, -0.023520510779325286, 0.2694190074331485, 0.19801620136470544, 0.039726868481631136, 0.02277530824182207, 0.18996411785073988, 0.19499836462949002, 0.05704062372691684, -0.23755212289096972, -0.012200563269728733, 0.11237261563815831] |
1,801.10603 | ILPS at TREC 2017 Common Core Track | The TREC 2017 Common Core Track aimed at gathering a diverse set of
participating runs and building a new test collection using advanced pooling
methods.
In this paper, we describe the participation of the IlpsUvA team at the TREC
2017 Common Core Track. We submitted runs created using two methods to the
track: (1) BOIR uses Bayesian optimization to automatically optimize retrieval
model hyperparameters. (2) NVSM is a latent vector space model where
representations of documents and query terms are learned from scratch in an
unsupervised manner.
We find that BOIR is able to optimize hyperparameters as to find a system
that performs competitively amongst track participants. NVSM provides rankings
that are diverse, as it was amongst the top automated unsupervised runs that
provided the most unique relevant documents.
| cs.IR | the trec 2017 common core track aimed at gathering a diverse set of participating runs and building a new test collection using advanced pooling methods in this paper we describe the participation of the ilpsuva team at the trec 2017 common core track we submitted runs created using two methods to the track 1 boir uses bayesian optimization to automatically optimize retrieval model hyperparameters 2 nvsm is a latent vector space model where representations of documents and query terms are learned from scratch in an unsupervised manner we find that boir is able to optimize hyperparameters as to find a system that performs competitively amongst track participants nvsm provides rankings that are diverse as it was amongst the top automated unsupervised runs that provided the most unique relevant documents | [['the', 'trec', '2017', 'common', 'core', 'track', 'aimed', 'at', 'gathering', 'a', 'diverse', 'set', 'of', 'participating', 'runs', 'and', 'building', 'a', 'new', 'test', 'collection', 'using', 'advanced', 'pooling', 'methods', 'in', 'this', 'paper', 'we', 'describe', 'the', 'participation', 'of', 'the', 'ilpsuva', 'team', 'at', 'the', 'trec', '2017', 'common', 'core', 'track', 'we', 'submitted', 'runs', 'created', 'using', 'two', 'methods', 'to', 'the', 'track', '1', 'boir', 'uses', 'bayesian', 'optimization', 'to', 'automatically', 'optimize', 'retrieval', 'model', 'hyperparameters', '2', 'nvsm', 'is', 'a', 'latent', 'vector', 'space', 'model', 'where', 'representations', 'of', 'documents', 'and', 'query', 'terms', 'are', 'learned', 'from', 'scratch', 'in', 'an', 'unsupervised', 'manner', 'we', 'find', 'that', 'boir', 'is', 'able', 'to', 'optimize', 'hyperparameters', 'as', 'to', 'find', 'a', 'system', 'that', 'performs', 'competitively', 'amongst', 'track', 'participants', 'nvsm', 'provides', 'rankings', 'that', 'are', 'diverse', 'as', 'it', 'was', 'amongst', 'the', 'top', 'automated', 'unsupervised', 'runs', 'that', 'provided', 'the', 'most', 'unique', 'relevant', 'documents']] | [-0.02501628396151188, 0.039052950012283254, -0.07737819190388398, 0.06670956948258368, -0.14392816798026037, -0.15898976565915204, 0.05056402393009713, 0.4287362700949113, -0.25360279346701675, -0.38502791096707656, 0.048581744789511765, -0.3238121510616371, -0.14050218653643415, 0.15206616137930679, -0.07333101454885706, 0.06814744142863514, 0.12398106829791758, 0.060508064140329165, -0.041291420859846446, -0.34781161453279236, 0.2903823544980869, 0.08108836237991614, 0.29809341650633586, -0.06251531133117776, 0.14222878726598406, 0.015331794797915906, -0.09616785267084312, -0.011304638869847939, -0.06719000341526846, 0.1397064433226155, 0.37336942021890235, 0.27244311995020815, 0.3158692724038182, -0.37316007926941863, -0.13621036750670995, 0.07543814197064393, 0.12866982169419763, 0.07804778794802371, -0.006375087188586356, -0.28915327529807294, 0.09514610140606583, -0.18708915267849252, 0.013610317501135998, -0.16326279770435084, 0.011602006719580718, 0.005685436066299203, -0.3043270183520185, -0.00813310953699762, 0.026845033844611385, 0.05036306326344077, -0.04467952222053316, -0.11716602048522512, 0.010007854892931406, 0.2102589514309777, 0.014021049602888525, 0.08564855884538874, 0.16543980261000493, -0.12254128261979315, -0.18392854775228198, 0.38128979436107097, -0.05590151031390719, -0.14143989842624352, 0.22432438189178586, -0.007226800690183327, -0.15770246251116668, 0.08366462631550219, 0.24651900973052732, 0.11940112127922475, -0.1922958691988791, 0.00971747943226041, -0.07863693999584824, 0.21692852642930424, 0.044794752168291735, -0.07953688027041536, 0.17469580525750414, 0.2525570585377633, 0.0485159705008661, 0.11732008644483155, -0.08746566393716738, -0.06636972003985965, -0.26142023213296417, -0.11517394067800885, -0.1731990810579783, -0.09437307268418076, -0.054328777978616204, -0.1534209011625203, 0.4198662187748899, 0.23873552251311522, 0.20728330499684763, 0.060972628948677866, 0.2815267339363576, -0.017221680911519335, 0.0786851647537246, 0.14545360102968674, 0.1698872015501062, -0.041548625939333485, 0.14765466524228926, -0.13810055294916743, 0.09146228779683865, 0.048730664224999526] |
1,801.10604 | Continuity Properties for Divergence Form Boundary Data Homogenization
Problems | We study the continuity/discontinuity of the effective boundary condition for
periodic homogenization of oscillating Dirichlet data for nonlinear divergence
form equations and linear systems. For linear systems we show continuity, for
nonlinear equations we give an example of discontinuity.
| math.AP | we study the continuitydiscontinuity of the effective boundary condition for periodic homogenization of oscillating dirichlet data for nonlinear divergence form equations and linear systems for linear systems we show continuity for nonlinear equations we give an example of discontinuity | [['we', 'study', 'the', 'continuitydiscontinuity', 'of', 'the', 'effective', 'boundary', 'condition', 'for', 'periodic', 'homogenization', 'of', 'oscillating', 'dirichlet', 'data', 'for', 'nonlinear', 'divergence', 'form', 'equations', 'and', 'linear', 'systems', 'for', 'linear', 'systems', 'we', 'show', 'continuity', 'for', 'nonlinear', 'equations', 'we', 'give', 'an', 'example', 'of', 'discontinuity']] | [-0.20499026245976748, 0.03775034383234972, -0.07722080337177765, 0.06977904868606281, -0.12274813455970664, -0.13254752353225885, -0.06288583127561172, 0.2809288482132711, -0.3237870115002519, -0.19524620659649372, 0.15953216883108803, -0.3016697656559317, -0.1908647953777721, 0.22373603723060928, -0.024151186948936237, 0.18739259064099506, 0.07993325291471065, 0.020281244927134952, -0.11080973619889271, -0.18983005800921665, 0.42160973188124207, -0.08310337185761646, 0.21861161703341886, 0.021006091877720075, 0.17261110084731818, 0.016994929210724014, 0.03401979835900037, 0.009630837649303047, -0.20699525928418888, 0.09364113060904569, 0.24136857688426971, 0.007934478013531157, 0.2862317589062609, -0.4781615792920715, -0.23667529822131128, 0.06017536415081275, 0.10506612852852988, 0.12648221870001994, -0.06612561160306397, -0.23690273808805565, 0.0704676715510064, -0.07802455813476913, -0.22009092059574628, -0.11624543574687682, 0.038287126312130375, 0.07848339451562711, -0.3928413733251785, 0.16838871777949144, 0.13635522700650127, 0.13187707561117254, -0.2080375927157308, -0.0612639653937597, 0.03509568383819178, 0.05379580870564831, 0.008583247820895753, -0.09829594702827499, 0.008096932396782856, -0.15258152002321654, -0.027513975565517813, 0.33397900352352544, -0.15269467026289357, -0.29057128399022314, 0.15259712346290288, -0.08668735182206881, -0.1139244167746878, 0.07226574664788418, 0.27075540958168476, 0.13866726911969876, -0.20719409187471396, 0.11240905074641648, -0.037860289684766416, 0.12738651671986045, 0.0926918569020927, -0.035041042137891054, 0.10973733979718465, 0.13678601330244228, 0.15156741420689382, 0.20009207406301835, 0.010718863169466587, -0.10150093357323815, -0.39154742001310777, -0.17009450397209117, -0.09418998672136743, 0.054219440311977736, -0.11476177961135124, -0.2822577930668271, 0.32489049328356295, 0.12872010616487578, 0.12646557419487325, 0.0733228933286706, 0.19647427911772147, 0.29745792577925484, -0.02212970434246879, 0.06681113342117322, 0.18993823539686241, 0.17166473309043795, 0.11308980198871148, -0.26976835732593346, -0.031174884729185386, 0.1201875988197954] |
1,801.10605 | The seven-gluon amplitude in multi-Regge kinematics beyond leading
logarithmic accuracy | We present an all-loop dispersion integral, well-defined to arbitrary
logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in
planar N=4 super Yang-Mills theory. It follows from factorization, dual
conformal symmetry and consistency with soft limits, and specifically holds in
the region where the energies of all produced particles have been analytically
continued. After promoting the known symbol of the 2-loop N-particle MHV
amplitude in this region to a function, we specialize to N=7, and extract from
it the next-to-leading order (NLO) correction to the BFKL central emission
vertex, namely the building block of the dispersion integral that had not yet
appeared in the well-studied six-gluon case. As an application of our results,
we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic
accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the
two independent NMHV helicity configurations, respectively.
| hep-th | we present an allloop dispersion integral welldefined to arbitrary logarithmic accuracy describing the multiregge limit of the 25 amplitude in planar n4 super yangmills theory it follows from factorization dual conformal symmetry and consistency with soft limits and specifically holds in the region where the energies of all produced particles have been analytically continued after promoting the known symbol of the 2loop nparticle mhv amplitude in this region to a function we specialize to n7 and extract from it the nexttoleading order nlo correction to the bfkl central emission vertex namely the building block of the dispersion integral that had not yet appeared in the wellstudied sixgluon case as an application of our results we explicitly compute the sevengluon amplitude at nexttoleading logarithmic accuracy through 5 loops for the mhv case and through 3 and 4 loops for the two independent nmhv helicity configurations respectively | [['we', 'present', 'an', 'allloop', 'dispersion', 'integral', 'welldefined', 'to', 'arbitrary', 'logarithmic', 'accuracy', 'describing', 'the', 'multiregge', 'limit', 'of', 'the', '25', 'amplitude', 'in', 'planar', 'n4', 'super', 'yangmills', 'theory', 'it', 'follows', 'from', 'factorization', 'dual', 'conformal', 'symmetry', 'and', 'consistency', 'with', 'soft', 'limits', 'and', 'specifically', 'holds', 'in', 'the', 'region', 'where', 'the', 'energies', 'of', 'all', 'produced', 'particles', 'have', 'been', 'analytically', 'continued', 'after', 'promoting', 'the', 'known', 'symbol', 'of', 'the', '2loop', 'nparticle', 'mhv', 'amplitude', 'in', 'this', 'region', 'to', 'a', 'function', 'we', 'specialize', 'to', 'n7', 'and', 'extract', 'from', 'it', 'the', 'nexttoleading', 'order', 'nlo', 'correction', 'to', 'the', 'bfkl', 'central', 'emission', 'vertex', 'namely', 'the', 'building', 'block', 'of', 'the', 'dispersion', 'integral', 'that', 'had', 'not', 'yet', 'appeared', 'in', 'the', 'wellstudied', 'sixgluon', 'case', 'as', 'an', 'application', 'of', 'our', 'results', 'we', 'explicitly', 'compute', 'the', 'sevengluon', 'amplitude', 'at', 'nexttoleading', 'logarithmic', 'accuracy', 'through', '5', 'loops', 'for', 'the', 'mhv', 'case', 'and', 'through', '3', 'and', '4', 'loops', 'for', 'the', 'two', 'independent', 'nmhv', 'helicity', 'configurations', 'respectively']] | [-0.11559396627648123, 0.12083556657066923, -0.07648955833584327, 0.11414665745747886, -0.040693832864856415, -0.07356173414094695, 0.0127756111030788, 0.3501887384737874, -0.15511323412125608, -0.2592270982997685, 0.08017070022098527, -0.30060396238374687, -0.1519421567209065, 0.12531009241778018, 0.019416163264019095, 0.08020477902529569, 0.017433961352397654, 0.056055386280962106, -0.07998462296733312, -0.2658676783008308, 0.28789852463865073, 0.01876902402346504, 0.22599266407898916, 0.10929673473382819, 0.1074068250680535, 0.08410356916439045, -0.03434826844082824, -0.02952310569777057, -0.11128859436244841, 0.07264639775485507, 0.2601007872710711, 0.03985675096482737, 0.1207786638177289, -0.4181949751387382, -0.12335874493442604, 0.03818524459714134, 0.217153331149241, 0.11516538556536723, 0.03811209684013036, -0.1992879612692471, 0.0706724130452193, -0.20867310368038458, -0.21619760603483382, -0.06808586052201432, 0.03616828429994398, -0.08254866934831029, -0.2750657046157546, 0.08040316930233404, 0.027062878457042548, -0.003438584263444525, 0.01490200965841911, -0.12987889448373482, -0.033552908179639226, 0.1481047714225434, 0.061459287033684286, 0.09059499299860206, 0.08775431239929307, -0.21194933302828978, -0.14775157931284852, 0.32939224055614963, -0.052955011552167607, -0.1635910426973012, 0.1264563052979266, -0.22658838559070538, -0.1904850065579702, 0.1678629673214565, 0.12761026788181787, 0.12682873299104513, -0.14325853071721464, 0.15843080161580944, 0.0037523951702590646, 0.14396903463799893, 0.1757012519022, 0.011621327825083301, 0.14260542605168602, 0.0916609139862101, -0.007614348082128784, 0.1742516718563977, -0.07605642501971331, -0.09656794528830154, -0.41465050836318523, -0.09094005708807501, -0.10081569799784057, 0.04381143144775455, -0.17171775504639614, -0.1596273050996764, 0.35040371248594904, 0.11660893216261496, 0.18115283335270038, 0.1272345360653507, 0.25958232450588, 0.17877152347294936, 0.11016678246268038, 0.11511424739186749, 0.27657711034447985, 0.1770610243338963, 0.08046651604537178, -0.24359064727122415, -0.049419065934188405, 0.16061154480557888] |
1,801.10606 | On Multiplicative Properties of Determinants | Let $A$ be an elliptic pseudodifferential operator of positive order on a
compact closed manifold, and let $T$ be a pseudodifferential operator of
negative order such that $T^m$ is of trace class. We compute
$\log\det(A(I+T))-\log\det A-\log\det_m (I+T)$ where first two determinants are
zeta function regularized, and the last one is a regularized Fredholm
determinant.
| math.SP | let a be an elliptic pseudodifferential operator of positive order on a compact closed manifold and let t be a pseudodifferential operator of negative order such that tm is of trace class we compute logdetaitlogdet alogdet_m it where first two determinants are zeta function regularized and the last one is a regularized fredholm determinant | [['let', 'a', 'be', 'an', 'elliptic', 'pseudodifferential', 'operator', 'of', 'positive', 'order', 'on', 'a', 'compact', 'closed', 'manifold', 'and', 'let', 't', 'be', 'a', 'pseudodifferential', 'operator', 'of', 'negative', 'order', 'such', 'that', 'tm', 'is', 'of', 'trace', 'class', 'we', 'compute', 'logdetaitlogdet', 'alogdet_m', 'it', 'where', 'first', 'two', 'determinants', 'are', 'zeta', 'function', 'regularized', 'and', 'the', 'last', 'one', 'is', 'a', 'regularized', 'fredholm', 'determinant']] | [-0.1807916175144223, 0.08691303117918253, -0.07744679445973955, 0.09032047986357401, -0.14105755892188215, -0.15582729513362908, -0.09765832423447417, 0.32803339403695786, -0.30858577143114346, -0.16922787302890077, 0.15845172619894862, -0.34932912764354396, -0.1831065826386643, 0.16639470498865613, -0.04790157705652886, 0.015427422584392704, 0.04423896829561832, 0.16836160134810668, -0.1656748162394461, -0.205011515179649, 0.4736361800191494, -0.0548082567178286, 0.08924955627522789, 0.09327146393927531, 0.10772379439395781, -0.03974650313074772, 0.040216967794829264, -0.009221995903107408, -0.0615446744118694, 0.12558696802275685, 0.3097798071371821, 0.03622524125967175, 0.3323758488180689, -0.3621202108378594, -0.18391210288525775, 0.21783958876935336, 0.1401243750901463, -0.08794772864964145, 0.032426128403480664, -0.2538135821501223, 0.14990114900417842, -0.16869277409456956, -0.138467165408656, -0.1149355569236482, 0.04196181767978347, -0.022201967139083605, -0.39478692967587936, 0.020786123565183237, 0.05429841531440616, 0.07436743491472533, -0.07595405775086525, -0.12420192608036675, -0.0043466427327635195, 0.08443231175904377, 0.0029781841261025807, 0.10311821491520207, 0.04749017446122777, 0.0010662686545401812, -0.0802224566712259, 0.28552883361743836, -0.1539916917726469, -0.2823955016927077, 0.035322822245339364, -0.18035099248831662, -0.0926684375332955, 0.08896420260246557, 0.1516415515484718, 0.2916132237475652, -0.08578393527736458, 0.15625005252793647, -0.07402697080173172, 0.10224215840347685, 0.06260943248903808, -0.024425568856084004, 0.13593274695225632, 0.061138224743235, 0.13617313905762365, 0.12030885770218447, 0.010815530831818111, -0.049659833213529334, -0.36351167732992995, -0.2742774397707902, -0.20938085899867404, 0.20203616635766453, -0.14208487783001217, -0.2491851311463576, 0.4185118299120894, 0.034950060125153795, 0.21250247629359365, 0.1012507003839486, 0.20571629928711516, 0.2694782772271607, 0.09326452765470514, 0.07761209852133806, 0.0405266320046324, 0.22786021378124133, 0.04265871077167013, -0.18699106197947493, -0.009988922939205972, 0.24532031124600998] |
1,801.10607 | Hypercube Packings and Coverings with Higher Dimensional Rooks | We introduce a generalization of classical $q$-ary codes by allowing points
to cover other points that are Hamming distance $1$ or $2$ in a freely chosen
subset of all directions. More specifically, we generalize the notion of
$1$-covering, $1$-packing, and $2$-packing in the case of $q$-ary codes. In the
covering case, we establish the analog of the sphere-packing bound and in the
packing case, we establish an analog of the singleton bound. Given these
analogs, in the covering case we establish that the sphere-packing bound is
asymptotically never tight except in trivial cases. This is in essence an
analog of a seminal result of Rodemich regarding $q$-ary codes. In the packing
case we establish for the $1$-packing and $2$-packing cases that the analog of
the singleton bound is tight in several possible cases and conjecture that
these bounds are optimal in general.
| math.CO | we introduce a generalization of classical qary codes by allowing points to cover other points that are hamming distance 1 or 2 in a freely chosen subset of all directions more specifically we generalize the notion of 1covering 1packing and 2packing in the case of qary codes in the covering case we establish the analog of the spherepacking bound and in the packing case we establish an analog of the singleton bound given these analogs in the covering case we establish that the spherepacking bound is asymptotically never tight except in trivial cases this is in essence an analog of a seminal result of rodemich regarding qary codes in the packing case we establish for the 1packing and 2packing cases that the analog of the singleton bound is tight in several possible cases and conjecture that these bounds are optimal in general | [['we', 'introduce', 'a', 'generalization', 'of', 'classical', 'qary', 'codes', 'by', 'allowing', 'points', 'to', 'cover', 'other', 'points', 'that', 'are', 'hamming', 'distance', '1', 'or', '2', 'in', 'a', 'freely', 'chosen', 'subset', 'of', 'all', 'directions', 'more', 'specifically', 'we', 'generalize', 'the', 'notion', 'of', '1covering', '1packing', 'and', '2packing', 'in', 'the', 'case', 'of', 'qary', 'codes', 'in', 'the', 'covering', 'case', 'we', 'establish', 'the', 'analog', 'of', 'the', 'spherepacking', 'bound', 'and', 'in', 'the', 'packing', 'case', 'we', 'establish', 'an', 'analog', 'of', 'the', 'singleton', 'bound', 'given', 'these', 'analogs', 'in', 'the', 'covering', 'case', 'we', 'establish', 'that', 'the', 'spherepacking', 'bound', 'is', 'asymptotically', 'never', 'tight', 'except', 'in', 'trivial', 'cases', 'this', 'is', 'in', 'essence', 'an', 'analog', 'of', 'a', 'seminal', 'result', 'of', 'rodemich', 'regarding', 'qary', 'codes', 'in', 'the', 'packing', 'case', 'we', 'establish', 'for', 'the', '1packing', 'and', '2packing', 'cases', 'that', 'the', 'analog', 'of', 'the', 'singleton', 'bound', 'is', 'tight', 'in', 'several', 'possible', 'cases', 'and', 'conjecture', 'that', 'these', 'bounds', 'are', 'optimal', 'in', 'general']] | [-0.18279430971246424, 0.08821158279711876, -0.049051895876355625, 0.09827743280441203, 0.013219580599205924, -0.16580316099727935, 0.09831421278707736, 0.30553863442615203, -0.25330279213673573, -0.24887426636109117, 0.12114239726066986, -0.27033187662819336, -0.17492092667140913, 0.23387706675236478, -0.1412113685464711, 0.05228627840360851, 0.017263411009248268, 0.0670125060747807, -0.08231388699595242, -0.3166545984113972, 0.31816750577921776, 0.052549740207110736, 0.2214800464253582, 0.03939671584500779, 0.02665598919377365, 0.029556321584560136, 0.0047147163315444975, -0.005769198551232302, -0.2336518802287483, 0.1143305652860737, 0.25236588111807795, 0.14854470768890587, 0.2045760882575831, -0.34313443640630087, -0.15946251506824707, 0.1556515534745252, 0.11577764069265191, 0.14391686438899884, -0.03761025724145303, -0.18065599967223586, 0.12669353655800356, -0.1427841834651293, -0.10460959693767025, 0.008503570518595106, 0.030665866574866973, 0.017619356655033558, -0.27356530265578777, 0.025344575623195646, 0.14010521004650187, 0.016182961567087886, -0.08742600459859752, -0.1543841807804143, 0.06573540451011706, 0.11016679091332811, -0.026317100600398918, 0.02704564572794112, -0.014275461309820625, -0.08127327910492342, -0.13028426288135006, 0.3570288195413478, -0.0430662941867948, -0.21774438548014097, 0.16211949329796835, -0.14610376782015178, -0.14650284195094243, 0.06134227380248989, 0.17116966361430944, 0.13548611581048114, -0.059459213913808054, 0.1367421296197287, -0.16716791662314895, 0.12151226491158736, 0.14574582538408962, 0.10291559511922789, 0.12790721591813028, 0.08957949180671192, 0.14679375287320412, 0.23696922438907775, -0.045650072694683436, -0.09803332744788788, -0.3198743808142682, -0.1715208614948503, -0.190087018971305, 0.053699548234040224, -0.12388001654771032, -0.15635663188964208, 0.3271562768582334, 0.10287799198198601, 0.16018045340653952, 0.12827769748813717, 0.22530103221796585, 0.05242354011638684, 0.029596815400935235, 0.17901869000642434, 0.22875012555126603, 0.16427623089039634, -0.026266054739079153, -0.11627052102076114, 0.016004302271423822, 0.1412023504459504] |
1,801.10608 | The Universal $C^*$-Algebra of the Quantum Matrix Ball and its
Irreducible $*$-Representations | We prove that any irreducible $*$-representation of
$\mathrm{Pol}(\mathrm{Mat}_n)_q$ can be 'lifted' to an irreducible
*-representation of $\mathbb{C}[SU_{2n}]_q$, this result is then used to show
the existence of the universal enveloping $C^*$- algebra of
$\mathrm{Pol}(\mathrm{Mat}_n)_q$ and to prove that it is isomorphic to the
closure of the image of the Fock representation. Moreover, we also classify all
irreducible $*$-representations of $\mathrm{Pol}(\mathrm{Mat}_n)_q$ using a
diagram approach.
| math.QA | we prove that any irreducible representation of mathrmpolmathrmmat_n_q can be lifted to an irreducible representation of mathbbcsu_2n_q this result is then used to show the existence of the universal enveloping c algebra of mathrmpolmathrmmat_n_q and to prove that it is isomorphic to the closure of the image of the fock representation moreover we also classify all irreducible representations of mathrmpolmathrmmat_n_q using a diagram approach | [['we', 'prove', 'that', 'any', 'irreducible', 'representation', 'of', 'mathrmpolmathrmmat_n_q', 'can', 'be', 'lifted', 'to', 'an', 'irreducible', 'representation', 'of', 'mathbbcsu_2n_q', 'this', 'result', 'is', 'then', 'used', 'to', 'show', 'the', 'existence', 'of', 'the', 'universal', 'enveloping', 'c', 'algebra', 'of', 'mathrmpolmathrmmat_n_q', 'and', 'to', 'prove', 'that', 'it', 'is', 'isomorphic', 'to', 'the', 'closure', 'of', 'the', 'image', 'of', 'the', 'fock', 'representation', 'moreover', 'we', 'also', 'classify', 'all', 'irreducible', 'representations', 'of', 'mathrmpolmathrmmat_n_q', 'using', 'a', 'diagram', 'approach']] | [-0.10958504576295142, 0.07699922938107713, -0.16753970982418173, 0.020891544127297247, -0.10898677894609078, -0.08008993717856587, -0.0230924848260151, 0.3716414941267835, -0.3791664145472977, -0.17407330505490776, 0.0992111913593752, -0.2061619386668243, -0.18872865579194492, 0.17273301609777034, -0.10341555326585732, -0.06398942882549905, 0.08369698462682584, 0.1410221014290102, -0.12448694732128865, -0.25982850964462, 0.37131708718481515, -0.07283317584485288, 0.2345910831576302, 0.05674691119098237, 0.16459808893324362, -0.0031023574106040456, 0.020938594012506424, -0.0338565098742644, -0.10039845559979782, 0.16543548435918867, 0.3220759097242817, 0.15294576940378027, 0.14782054533642378, -0.32216965560875244, -0.11317465948088774, 0.23264424859856567, 0.1962178550394518, 0.07257502925183092, 0.03562795010853618, -0.2807128522988586, 0.15847595146162405, -0.2396551670417899, -0.13542062496500357, -0.14544478839352018, 0.04788409359753132, -0.044668254605124864, -0.25054328542734894, -0.00975956219767723, 0.14031795867615277, 0.0447238725092676, -0.12951477194234493, -0.07614523967698453, -0.08321742138396652, 0.11985995016607737, -0.056023007236598504, 0.07103728825255992, 0.056823567199032934, -0.1304700074547399, -0.12041258472683174, 0.35518613333503407, -0.04898177963932828, -0.22963720595552808, 0.15635521170343197, -0.15379546777833075, -0.16049680294143776, 0.11067109704313297, 0.09725155533173137, 0.09380505346353092, -0.05934869900109276, 0.15020882468282556, -0.1372541431041937, 0.10739735619438487, 0.043892001984493126, -0.010596675546987662, 0.1056436905119982, 0.09836188292071696, 0.03841901017678163, 0.17703672827938424, -0.005083547136376774, 0.020401727422953597, -0.35643589508438867, -0.21707681409778104, -0.15752679031039218, 0.08534183649213187, -0.07652689098904375, -0.1815163033556134, 0.40584254022392013, 0.19042770807734793, 0.19979199747894966, 0.1027646248657552, 0.22060615394914906, 0.13160216868928973, 0.10460626905495744, 0.08707314763691217, 0.1376305916716182, 0.19594688406066288, -0.09748127740172166, -0.17900045893879402, -0.017798193157576615, 0.1934994931317984] |
1,801.10609 | Kepler K2 observations of the transitional millisecond pulsar PSR
J1023+0038 | For 80 days in 2017, the Kepler Space Telescope continuously observed the
transitional millisecond pulsar system PSR J1023+0038 in its accreting state.
We present analyses of the 59 second cadence data, focusing on investigations
of the orbital light curve of the irradiated companion star, and of flaring
activity in the neutron star's accretion disc. The underlying orbital
modulation from the companion star retains a similar amplitude and asymmetric
heating profile as seen in previous photometric observations of the system in
its radio pulsar state, suggesting that the heating mechanism has not been
affected by the state change. We also find tentative evidence that this
asymmetry may vary with time. The light curve also exhibits "flickering"
activity, evident as short time-scale flux correlations throughout the
observations, and periods of rapid mode-switching activity on time scales
shorter than the observation cadence. Finally, the system spent 20% of the
observations in a flaring state, with the length of these flares varying from 2
minutes up to several hours. The flaring behaviour is consistent with a
self-organised criticality mechanism, most likely related to the build up and
release of mass at the inner edge of the accretion disc.
| astro-ph.HE astro-ph.SR | for 80 days in 2017 the kepler space telescope continuously observed the transitional millisecond pulsar system psr j10230038 in its accreting state we present analyses of the 59 second cadence data focusing on investigations of the orbital light curve of the irradiated companion star and of flaring activity in the neutron stars accretion disc the underlying orbital modulation from the companion star retains a similar amplitude and asymmetric heating profile as seen in previous photometric observations of the system in its radio pulsar state suggesting that the heating mechanism has not been affected by the state change we also find tentative evidence that this asymmetry may vary with time the light curve also exhibits flickering activity evident as short timescale flux correlations throughout the observations and periods of rapid modeswitching activity on time scales shorter than the observation cadence finally the system spent 20 of the observations in a flaring state with the length of these flares varying from 2 minutes up to several hours the flaring behaviour is consistent with a selforganised criticality mechanism most likely related to the build up and release of mass at the inner edge of the accretion disc | [['for', '80', 'days', 'in', '2017', 'the', 'kepler', 'space', 'telescope', 'continuously', 'observed', 'the', 'transitional', 'millisecond', 'pulsar', 'system', 'psr', 'j10230038', 'in', 'its', 'accreting', 'state', 'we', 'present', 'analyses', 'of', 'the', '59', 'second', 'cadence', 'data', 'focusing', 'on', 'investigations', 'of', 'the', 'orbital', 'light', 'curve', 'of', 'the', 'irradiated', 'companion', 'star', 'and', 'of', 'flaring', 'activity', 'in', 'the', 'neutron', 'stars', 'accretion', 'disc', 'the', 'underlying', 'orbital', 'modulation', 'from', 'the', 'companion', 'star', 'retains', 'a', 'similar', 'amplitude', 'and', 'asymmetric', 'heating', 'profile', 'as', 'seen', 'in', 'previous', 'photometric', 'observations', 'of', 'the', 'system', 'in', 'its', 'radio', 'pulsar', 'state', 'suggesting', 'that', 'the', 'heating', 'mechanism', 'has', 'not', 'been', 'affected', 'by', 'the', 'state', 'change', 'we', 'also', 'find', 'tentative', 'evidence', 'that', 'this', 'asymmetry', 'may', 'vary', 'with', 'time', 'the', 'light', 'curve', 'also', 'exhibits', 'flickering', 'activity', 'evident', 'as', 'short', 'timescale', 'flux', 'correlations', 'throughout', 'the', 'observations', 'and', 'periods', 'of', 'rapid', 'modeswitching', 'activity', 'on', 'time', 'scales', 'shorter', 'than', 'the', 'observation', 'cadence', 'finally', 'the', 'system', 'spent', '20', 'of', 'the', 'observations', 'in', 'a', 'flaring', 'state', 'with', 'the', 'length', 'of', 'these', 'flares', 'varying', 'from', '2', 'minutes', 'up', 'to', 'several', 'hours', 'the', 'flaring', 'behaviour', 'is', 'consistent', 'with', 'a', 'selforganised', 'criticality', 'mechanism', 'most', 'likely', 'related', 'to', 'the', 'build', 'up', 'and', 'release', 'of', 'mass', 'at', 'the', 'inner', 'edge', 'of', 'the', 'accretion', 'disc']] | [-0.14019771813674226, 0.17897524167879572, -0.08553074782512621, 0.08838139038014504, -0.11049889883544949, -0.083218190089329, 0.0883262213691589, 0.4018485439970091, -0.20356508921987868, -0.36663333922816616, 0.12558121294186442, -0.28487197985256346, -0.054958781720734366, 0.2461184342415792, -0.05108620646678526, -0.001234098570421338, 0.1213142452929553, -0.020537019049575955, -0.0508274063365966, -0.2356556186195374, 0.24429110661521075, 0.08903773267364572, 0.1554796265740639, -0.037305609193467294, 0.054733084440927414, -0.07476063232062403, -0.04224273796462137, -0.08849190059132975, -0.10819738365977717, 0.002852525014944702, 0.18808786852342874, 0.11231177247227794, 0.18058729554644573, -0.4032208544937846, -0.2565046554604142, 0.03044632534717315, 0.15608740879760422, 0.002797535106962182, -0.02768024577658393, -0.25947701205624285, 0.018337826955026573, -0.20911859021013238, -0.163729105143539, 0.05994104861867489, 0.12882516761046364, 0.022320330476618765, -0.18563269090493084, 0.12858418428330662, 0.07357341503321203, 0.11403491506449033, -0.17027491619738452, -0.038741491448743864, -0.05479280891547402, 0.06738936428470325, 0.10457637317517061, 0.10490212431561548, 0.14987958820306302, -0.1079288839144133, -0.09148262346285808, 0.3318573446925153, -0.08334884041814991, 0.03475417566879355, 0.19854536136977144, -0.26515868193585157, -0.165867443861363, 0.20972246132651823, 0.16535094026572159, 0.10993520592185717, -0.11722212902884738, -0.053740355633823296, -0.002622935887349328, 0.2527687532596828, 0.031927850089016725, 0.06781205185929064, 0.3284312583237272, 0.1825394241922996, 0.007112838363889413, 0.12915738588727088, -0.25510534099495213, -0.07910734607559658, -0.22618755936915458, -0.05824585784539897, -0.13552768739689255, 0.08634645154961618, -0.09808046855818547, -0.09856902493029526, 0.4451886168369044, 0.11547490304213535, 0.20141652769774568, 0.017379249929757694, 0.2661596278026316, 0.10562775497079932, 0.07531554463137057, 0.15080344554075262, 0.3226039817211093, 0.11642598763729935, 0.17447831798056812, -0.2798643138023518, 0.13164956725836185, -0.03576420419417398] |
1,802.00001 | Surjectivity of near square random matrices | We show that a nearly square iid random integral matrix is surjective over
the integral lattice with very high probability. This answers a question by
Koplewitz. Our result extends to sparse matrices as well as to matrices of
dependent entries.
| math.ST math.CO math.NT math.PR stat.TH | we show that a nearly square iid random integral matrix is surjective over the integral lattice with very high probability this answers a question by koplewitz our result extends to sparse matrices as well as to matrices of dependent entries | [['we', 'show', 'that', 'a', 'nearly', 'square', 'iid', 'random', 'integral', 'matrix', 'is', 'surjective', 'over', 'the', 'integral', 'lattice', 'with', 'very', 'high', 'probability', 'this', 'answers', 'a', 'question', 'by', 'koplewitz', 'our', 'result', 'extends', 'to', 'sparse', 'matrices', 'as', 'well', 'as', 'to', 'matrices', 'of', 'dependent', 'entries']] | [-0.09348894624660413, 0.12124394236180262, -0.005589275883558469, 0.030959390844099034, -0.0628128803979892, -0.13115570486451572, 0.07442689725221732, 0.42018912789913326, -0.3334538222123415, -0.22269657046462482, 0.15272970320895696, -0.2769286835040802, -0.2179798218451488, 0.15590030475495717, -0.1347644170985008, 0.09089699736199318, 0.08932097922437467, 0.05481263727713854, -0.12519202617188105, -0.35225566056294316, 0.3061251239134715, 0.07522068812679021, 0.18311483016571936, 0.0199904978239479, 0.16972552477501524, 0.08616423854031242, -0.04910669951007152, -0.0033758604087126562, -0.035746674299074445, 0.08523968834197149, 0.3167339259615311, 0.0760977115147771, 0.2561879430252772, -0.3173914850713351, -0.1646264543135961, 0.13161583558823436, 0.14898536736384416, 0.05355008486180733, -0.0005450252539072281, -0.25686073938432413, 0.11270826739760545, -0.1712101943886433, -0.12349726217918289, -0.07842444356841345, 0.011411185973347763, 0.03958190261171414, -0.3891984892483705, 0.060063191898501456, 0.09518858100562237, 0.03296934290287586, -0.014286460844465556, -0.20309204396863395, 0.102344172505232, 0.08960378415828857, 0.038607865828686416, 0.07573355407191393, 0.07740187837193027, -0.05214201966420007, -0.09509257071961959, 0.3484971639103232, -0.13326769202756575, -0.2325437025477489, 0.12012264077575543, -0.20120825932528347, -0.1248959350035502, 0.14514573701681235, 0.10643897625880364, 0.07540172668030629, -0.09904317252146892, 0.12716796674216405, -0.21503653470426798, 0.15599477926316935, 0.03291190851432008, 0.012756833078291936, 0.13176392859373337, 0.07495199200004721, 0.16669111694089878, 0.1453565927938773, 0.03413609921550139, -0.06832086864429024, -0.2527665155820357, -0.09749940732637277, -0.33866178390020746, 0.17168070916802838, -0.14467774818723017, -0.2420810339255975, 0.3475993527815892, 0.0964367294516892, 0.31244182949646926, 0.17232902493709937, 0.21839407544869643, 0.08507735402478526, 0.02674117407355553, 0.0650406326764287, 0.04689002323609132, 0.25989535480188447, 0.07459593556809406, -0.10474567852006891, 0.026209665928035975, 0.0939110410399735] |
1,802.00002 | DxNAT - Deep Neural Networks for Explaining Non-Recurring Traffic
Congestion | Non-recurring traffic congestion is caused by temporary disruptions, such as
accidents, sports games, adverse weather, etc. We use data related to real-time
traffic speed, jam factors (a traffic congestion indicator), and events
collected over a year from Nashville, TN to train a multi-layered deep neural
network. The traffic dataset contains over 900 million data records. The
network is thereafter used to classify the real-time data and identify
anomalous operations. Compared with traditional approaches of using statistical
or machine learning techniques, our model reaches an accuracy of 98.73 percent
when identifying traffic congestion caused by football games. Our approach
first encodes the traffic across a region as a scaled image. After that the
image data from different timestamps is fused with event- and time-related
data. Then a crossover operator is used as a data augmentation method to
generate training datasets with more balanced classes. Finally, we use the
receiver operating characteristic (ROC) analysis to tune the sensitivity of the
classifier. We present the analysis of the training time and the inference time
separately.
| cs.LG stat.ML | nonrecurring traffic congestion is caused by temporary disruptions such as accidents sports games adverse weather etc we use data related to realtime traffic speed jam factors a traffic congestion indicator and events collected over a year from nashville tn to train a multilayered deep neural network the traffic dataset contains over 900 million data records the network is thereafter used to classify the realtime data and identify anomalous operations compared with traditional approaches of using statistical or machine learning techniques our model reaches an accuracy of 9873 percent when identifying traffic congestion caused by football games our approach first encodes the traffic across a region as a scaled image after that the image data from different timestamps is fused with event and timerelated data then a crossover operator is used as a data augmentation method to generate training datasets with more balanced classes finally we use the receiver operating characteristic roc analysis to tune the sensitivity of the classifier we present the analysis of the training time and the inference time separately | [['nonrecurring', 'traffic', 'congestion', 'is', 'caused', 'by', 'temporary', 'disruptions', 'such', 'as', 'accidents', 'sports', 'games', 'adverse', 'weather', 'etc', 'we', 'use', 'data', 'related', 'to', 'realtime', 'traffic', 'speed', 'jam', 'factors', 'a', 'traffic', 'congestion', 'indicator', 'and', 'events', 'collected', 'over', 'a', 'year', 'from', 'nashville', 'tn', 'to', 'train', 'a', 'multilayered', 'deep', 'neural', 'network', 'the', 'traffic', 'dataset', 'contains', 'over', '900', 'million', 'data', 'records', 'the', 'network', 'is', 'thereafter', 'used', 'to', 'classify', 'the', 'realtime', 'data', 'and', 'identify', 'anomalous', 'operations', 'compared', 'with', 'traditional', 'approaches', 'of', 'using', 'statistical', 'or', 'machine', 'learning', 'techniques', 'our', 'model', 'reaches', 'an', 'accuracy', 'of', '9873', 'percent', 'when', 'identifying', 'traffic', 'congestion', 'caused', 'by', 'football', 'games', 'our', 'approach', 'first', 'encodes', 'the', 'traffic', 'across', 'a', 'region', 'as', 'a', 'scaled', 'image', 'after', 'that', 'the', 'image', 'data', 'from', 'different', 'timestamps', 'is', 'fused', 'with', 'event', 'and', 'timerelated', 'data', 'then', 'a', 'crossover', 'operator', 'is', 'used', 'as', 'a', 'data', 'augmentation', 'method', 'to', 'generate', 'training', 'datasets', 'with', 'more', 'balanced', 'classes', 'finally', 'we', 'use', 'the', 'receiver', 'operating', 'characteristic', 'roc', 'analysis', 'to', 'tune', 'the', 'sensitivity', 'of', 'the', 'classifier', 'we', 'present', 'the', 'analysis', 'of', 'the', 'training', 'time', 'and', 'the', 'inference', 'time', 'separately']] | [-0.09014498907730312, 0.03109281874879825, -0.09206943534972037, 0.09455508854349746, -0.06720529094557552, -0.16855681416140322, 0.11530825757585904, 0.40423343767795494, -0.2715926274602466, -0.3511169075691963, 0.1286676856333061, -0.3455720000352491, -0.1421895097461803, 0.20434910026027972, -0.14770486955000225, 0.08520394791301121, 0.14889283276707455, 0.07984885668231394, -0.02046389546491863, -0.2808351126006421, 0.28353728332611566, 0.03895045948225101, 0.34608419241712374, 0.011093780894161147, 0.1306094863369842, -0.01619515354224645, -0.06142188456964076, 0.0046336108996697205, -0.04794043432531694, 0.08630653054535609, 0.3391797684283708, 0.224654604647966, 0.30403858853832766, -0.42095012714100233, -0.24235550844220116, 0.1275787104469012, 0.07905141535105513, 0.07972466103888377, 0.017412215236639467, -0.3472981853574953, 0.07440857568564004, -0.1958758612519459, -0.03477609169340747, -0.09676331001785858, -0.026818296343416852, 0.004385875529431573, -0.3017029833877185, 0.04479909601676114, -0.014453289817388663, 0.12277311527115457, -0.029031413397751747, -0.05087725294562166, -0.028622600203379988, 0.1732648522423594, 0.06660177648437264, 0.043244559685562685, 0.19142473088851308, -0.14432330044647268, -0.15232801894273829, 0.3831861265935004, -0.063474340188002, -0.10885135570047971, 0.15898811194826576, -0.02098316796233549, -0.09357258007478188, 0.149396992126918, 0.2905173769385061, 0.06381253780084936, -0.1841222511485445, -0.07274049833170412, -0.015663822178783662, 0.1843736700987553, 0.07528865817002953, -0.04571512105724062, 0.11527844772140003, 0.27938462226131167, 0.07540495275889578, 0.13318984927335645, -0.1962924178196665, -0.06186393046313349, -0.22030682792777526, -0.0551499170196407, -0.15248535156578702, -0.0004247965612996589, -0.11832832253181978, -0.11884126289686024, 0.4216224203214926, 0.21483356847756488, 0.1942818578907891, 0.0862224624654867, 0.35790353085818316, 0.03531292733969167, 0.12680739720406778, 0.13283599980778116, 0.10976718318826684, 0.003158784381059163, 0.2089102307731724, -0.1760849706849138, 0.09599278752062032, 0.006221787472981412] |
1,802.00003 | Deep Learning of Nonnegativity-Constrained Autoencoders for Enhanced
Understanding of Data | Unsupervised feature extractors are known to perform an efficient and
discriminative representation of data. Insight into the mappings they perform
and human ability to understand them, however, remain very limited. This is
especially prominent when multilayer deep learning architectures are used. This
paper demonstrates how to remove these bottlenecks within the architecture of
Nonnegativity Constrained Autoencoder (NCSAE). It is shown that by using both
L1 and L2 regularization that induce nonnegativity of weights, most of the
weights in the network become constrained to be nonnegative thereby resulting
into a more understandable structure with minute deterioration in
classification accuracy. Also, this proposed approach extracts features that
are more sparse and produces additional output layer sparsification. The method
is analyzed for accuracy and feature interpretation on the MNIST data, the NORB
normalized uniform object data, and the Reuters text categorization dataset.
| cs.LG | unsupervised feature extractors are known to perform an efficient and discriminative representation of data insight into the mappings they perform and human ability to understand them however remain very limited this is especially prominent when multilayer deep learning architectures are used this paper demonstrates how to remove these bottlenecks within the architecture of nonnegativity constrained autoencoder ncsae it is shown that by using both l1 and l2 regularization that induce nonnegativity of weights most of the weights in the network become constrained to be nonnegative thereby resulting into a more understandable structure with minute deterioration in classification accuracy also this proposed approach extracts features that are more sparse and produces additional output layer sparsification the method is analyzed for accuracy and feature interpretation on the mnist data the norb normalized uniform object data and the reuters text categorization dataset | [['unsupervised', 'feature', 'extractors', 'are', 'known', 'to', 'perform', 'an', 'efficient', 'and', 'discriminative', 'representation', 'of', 'data', 'insight', 'into', 'the', 'mappings', 'they', 'perform', 'and', 'human', 'ability', 'to', 'understand', 'them', 'however', 'remain', 'very', 'limited', 'this', 'is', 'especially', 'prominent', 'when', 'multilayer', 'deep', 'learning', 'architectures', 'are', 'used', 'this', 'paper', 'demonstrates', 'how', 'to', 'remove', 'these', 'bottlenecks', 'within', 'the', 'architecture', 'of', 'nonnegativity', 'constrained', 'autoencoder', 'ncsae', 'it', 'is', 'shown', 'that', 'by', 'using', 'both', 'l1', 'and', 'l2', 'regularization', 'that', 'induce', 'nonnegativity', 'of', 'weights', 'most', 'of', 'the', 'weights', 'in', 'the', 'network', 'become', 'constrained', 'to', 'be', 'nonnegative', 'thereby', 'resulting', 'into', 'a', 'more', 'understandable', 'structure', 'with', 'minute', 'deterioration', 'in', 'classification', 'accuracy', 'also', 'this', 'proposed', 'approach', 'extracts', 'features', 'that', 'are', 'more', 'sparse', 'and', 'produces', 'additional', 'output', 'layer', 'sparsification', 'the', 'method', 'is', 'analyzed', 'for', 'accuracy', 'and', 'feature', 'interpretation', 'on', 'the', 'mnist', 'data', 'the', 'norb', 'normalized', 'uniform', 'object', 'data', 'and', 'the', 'reuters', 'text', 'categorization', 'dataset']] | [-0.03312429751056935, -0.005111540214599791, -0.08518546749500261, 0.10530227622897971, -0.12883807800581976, -0.1976056065633083, 0.00428254652744753, 0.46318726176800934, -0.3118298079428749, -0.32854425741285354, 0.09912724397988801, -0.27254258885817684, -0.20049386628754978, 0.17916767247885035, -0.12646892843801744, 0.07405472580981239, 0.1552903503905037, 0.040439576460588454, -0.0454003630244794, -0.3046245967608242, 0.294427350212388, 0.0770636914697378, 0.32346219296121725, 0.02636375594411747, 0.09815829159038991, -0.052762716135475785, -0.0594406347229159, -0.02026236533150212, -0.01391287134074314, 0.2090580118988789, 0.31783698712293385, 0.185214041499421, 0.3059258729411775, -0.41579992803947435, -0.2267326116224454, 0.0788530058951279, 0.14529778911948096, 0.07224775572725828, -0.012210151317497324, -0.3162186804490731, 0.13757722009567247, -0.11520887975095083, 0.010301760934163358, -0.21639853541104906, -0.02804378073905473, -0.04286024456023765, -0.2918489282749141, 0.060940373963735445, 0.13200848785809416, 0.02582423414434374, -0.059423743634133774, -0.13664549616489396, -0.016824001608335453, 0.14352603975039793, 0.028836997697447034, 0.06731768690414079, 0.1203766013023214, -0.1835943616899675, -0.06712423674795992, 0.35047560490910773, -0.033237954335071256, -0.23665140835109397, 0.17871112347432022, -0.02732024642308175, -0.15526115463749654, 0.11180388965927389, 0.22553776712215884, 0.09584050501555043, -0.16088805272696502, -0.006751614046600256, -0.02618810633008463, 0.20198630569907633, 0.06405981000938007, 0.037322606618070735, 0.14636246710669829, 0.24027282420707785, 0.04502535413653738, 0.15472374696443128, -0.1392704138778609, -0.056939855632135994, -0.2077634330447493, -0.0704162900801748, -0.20168591803783362, -0.027491717557258318, -0.11793449517964567, -0.14542136491218116, 0.38830820181528514, 0.2057666127412644, 0.25149486960330303, 0.09161284874341842, 0.32957991668482084, 0.034444769878156374, 0.12723988388914723, 0.10368952656880129, 0.19772647181863262, 0.06848943137826966, 0.09904322123148249, -0.15651010069996119, 0.08631776163415254, 0.04850458085327747] |
1,802.00004 | Comments on "Dual-rail asynchronous logic multi-level implementation" | In this research communication, we comment on "Dual-rail asynchronous logic
multi-level implementation" [Integration, the VLSI Journal 47 (2014) 148-159]
by expounding the problematic issues, and provide some clarifications on
delay-insensitivity, robust asynchronous logic, multi-level decomposition, and
physical implementation.
| cs.ET | in this research communication we comment on dualrail asynchronous logic multilevel implementation integration the vlsi journal 47 2014 148159 by expounding the problematic issues and provide some clarifications on delayinsensitivity robust asynchronous logic multilevel decomposition and physical implementation | [['in', 'this', 'research', 'communication', 'we', 'comment', 'on', 'dualrail', 'asynchronous', 'logic', 'multilevel', 'implementation', 'integration', 'the', 'vlsi', 'journal', '47', '2014', '148159', 'by', 'expounding', 'the', 'problematic', 'issues', 'and', 'provide', 'some', 'clarifications', 'on', 'delayinsensitivity', 'robust', 'asynchronous', 'logic', 'multilevel', 'decomposition', 'and', 'physical', 'implementation']] | [-0.1893766884588533, -0.021781887328769598, 0.009539441942858199, 0.06724529525510864, -0.14768317502198947, -0.226877281959686, 0.12604839503506404, 0.41319113845626515, -0.2038756324780277, -0.32521304793448913, 0.16301946645641388, -0.14314165002562934, -0.1891079508802957, 0.19322593184188008, -0.2040254160399652, 0.08135869240181313, 0.10335203068098053, -0.0967082615283693, -0.045441553436426654, -0.30676320547031033, 0.16392965159482425, 0.06601290248120979, 0.3422022161798345, 0.04122128285881546, 0.06281547944268419, 0.04696276534943738, -0.11799045380515356, -0.08646974200382829, -0.08747384190145466, 0.1561100841499865, 0.3279169370782458, 0.2554427270725783, 0.36971641042166287, -0.47114987795551616, -0.09425074273409943, -0.05168267202356623, 0.098412489078732, 0.129727674040219, -0.05370836071799406, -0.33764025444785756, 0.008963786440694498, -0.21289383909768528, -0.026862411979689367, -0.14463870933589837, 0.06377061513356036, 0.005393373333693792, -0.13013853101680675, -0.01613927955946161, 0.12607030050761145, 0.12684157894303402, 0.045520310561793544, -0.17918936516313502, 0.12316289435451229, -0.03439873926496754, -0.14207287510443065, -0.024259838016910687, 0.16064460594983151, 0.005470697826240212, -0.27675045295877176, 0.29683881910103893, 0.0674035176440763, -0.1860159563107623, 0.1484406957299345, 0.024071402705481484, -0.27243019288612735, 0.033447461862427495, 0.205166530303864, 0.009619939503156476, -0.16658533514580792, 0.13949088537224774, 0.050661612496090434, 0.21403258186182939, 0.09977966779842973, 0.1451184549110217, 0.13441221518183333, 0.23664990812540054, -0.01753708846970565, 0.1363221865095612, -0.013580819591879845, -0.20984002056583348, -0.289003044159876, -0.13785004160470432, -0.08051057939883322, -0.0027947237508164514, -0.0710672239777826, -0.17711168005027705, 0.3662043240231772, 0.25599677317465347, 0.07912627623106043, 0.030108225635356374, 0.4007516958647304, 0.06246505672526029, 0.03530680608107812, 0.14299902216427857, 0.12782213535926226, 0.14508981364391124, 0.2267915237850199, -0.19778154040169385, 0.02922132163722482, 0.05480773435232954] |
1,802.00005 | Magnetic fields at the onset of high-mass star formation | Context: The importance of magnetic fields at the onset of star formation
related to the early fragmentation and collapse processes is largely unexplored
today. Aims: We want to understand the magnetic field properties at the
earliest evolutionary stages of high-mass star formation. Methods: The Atacama
Large Millimeter Array is used at 1.3mm wavelength in full polarization mode to
study the polarized emission and by that the magnetic field morphologies and
strengths of the high-mass starless region IRDC18310-4. Results: The polarized
emission is clearly detected in four sub-cores of the region. In general it
shows a smooth distribution, also along elongated cores. Estimating the
magnetic field strength via the Davis-Chandrasekhar-Fermi method and following
a structure function analysis, we find comparably large magnetic field
strengths between ~0.6 and 3.7mG. Comparing the data to spectral line
observations, the turbulent-to-magnetic energy ratio is low, indicating that
turbulence does not significantly contribute to the stability of the gas clump.
A mass-to-flux ratio around the critical value 1.0 - depending on column
density - indicates that the region starts to collapse which is consistent with
the previous spectral line analysis of the region. Conclusions: While this
high-mass region is collapsing and thus at the verge of star formation, the
high magnetic field values and the smooth spatial structure indicate that the
magnetic field is important for the fragmentation and collapse process. This
single case study can only be the starting point for larger sample studies of
magnetic fields at the onset of star formation.
| astro-ph.GA astro-ph.SR | context the importance of magnetic fields at the onset of star formation related to the early fragmentation and collapse processes is largely unexplored today aims we want to understand the magnetic field properties at the earliest evolutionary stages of highmass star formation methods the atacama large millimeter array is used at 13mm wavelength in full polarization mode to study the polarized emission and by that the magnetic field morphologies and strengths of the highmass starless region irdc183104 results the polarized emission is clearly detected in four subcores of the region in general it shows a smooth distribution also along elongated cores estimating the magnetic field strength via the davischandrasekharfermi method and following a structure function analysis we find comparably large magnetic field strengths between 06 and 37mg comparing the data to spectral line observations the turbulenttomagnetic energy ratio is low indicating that turbulence does not significantly contribute to the stability of the gas clump a masstoflux ratio around the critical value 10 depending on column density indicates that the region starts to collapse which is consistent with the previous spectral line analysis of the region conclusions while this highmass region is collapsing and thus at the verge of star formation the high magnetic field values and the smooth spatial structure indicate that the magnetic field is important for the fragmentation and collapse process this single case study can only be the starting point for larger sample studies of magnetic fields at the onset of star formation | [['context', 'the', 'importance', 'of', 'magnetic', 'fields', 'at', 'the', 'onset', 'of', 'star', 'formation', 'related', 'to', 'the', 'early', 'fragmentation', 'and', 'collapse', 'processes', 'is', 'largely', 'unexplored', 'today', 'aims', 'we', 'want', 'to', 'understand', 'the', 'magnetic', 'field', 'properties', 'at', 'the', 'earliest', 'evolutionary', 'stages', 'of', 'highmass', 'star', 'formation', 'methods', 'the', 'atacama', 'large', 'millimeter', 'array', 'is', 'used', 'at', '13mm', 'wavelength', 'in', 'full', 'polarization', 'mode', 'to', 'study', 'the', 'polarized', 'emission', 'and', 'by', 'that', 'the', 'magnetic', 'field', 'morphologies', 'and', 'strengths', 'of', 'the', 'highmass', 'starless', 'region', 'irdc183104', 'results', 'the', 'polarized', 'emission', 'is', 'clearly', 'detected', 'in', 'four', 'subcores', 'of', 'the', 'region', 'in', 'general', 'it', 'shows', 'a', 'smooth', 'distribution', 'also', 'along', 'elongated', 'cores', 'estimating', 'the', 'magnetic', 'field', 'strength', 'via', 'the', 'davischandrasekharfermi', 'method', 'and', 'following', 'a', 'structure', 'function', 'analysis', 'we', 'find', 'comparably', 'large', 'magnetic', 'field', 'strengths', 'between', '06', 'and', '37mg', 'comparing', 'the', 'data', 'to', 'spectral', 'line', 'observations', 'the', 'turbulenttomagnetic', 'energy', 'ratio', 'is', 'low', 'indicating', 'that', 'turbulence', 'does', 'not', 'significantly', 'contribute', 'to', 'the', 'stability', 'of', 'the', 'gas', 'clump', 'a', 'masstoflux', 'ratio', 'around', 'the', 'critical', 'value', '10', 'depending', 'on', 'column', 'density', 'indicates', 'that', 'the', 'region', 'starts', 'to', 'collapse', 'which', 'is', 'consistent', 'with', 'the', 'previous', 'spectral', 'line', 'analysis', 'of', 'the', 'region', 'conclusions', 'while', 'this', 'highmass', 'region', 'is', 'collapsing', 'and', 'thus', 'at', 'the', 'verge', 'of', 'star', 'formation', 'the', 'high', 'magnetic', 'field', 'values', 'and', 'the', 'smooth', 'spatial', 'structure', 'indicate', 'that', 'the', 'magnetic', 'field', 'is', 'important', 'for', 'the', 'fragmentation', 'and', 'collapse', 'process', 'this', 'single', 'case', 'study', 'can', 'only', 'be', 'the', 'starting', 'point', 'for', 'larger', 'sample', 'studies', 'of', 'magnetic', 'fields', 'at', 'the', 'onset', 'of', 'star', 'formation']] | [-0.11590792300951568, 0.13114917465222267, -0.048138054832052746, 0.06747872760636665, -0.05822421004709437, -0.02684931780166779, 0.015864566437037448, 0.397740444366927, -0.18539793032687157, -0.326468045533192, 0.07263979362180746, -0.21328145753378508, -0.05109003148629467, 0.14772066504114353, 0.05773214494547574, -0.04186263702327689, 0.04422373450590206, -0.02203222882330845, -0.04194076856040991, -0.18789412234108285, 0.36510149978070716, 0.10842183473726093, 0.28177581174818217, 0.07091841346166311, 0.013218870667500238, -0.08748723364522924, -0.007532816961861872, 0.0063443232697938555, -0.15491234689063993, 0.019071826665494285, 0.21270578457367012, 0.09552257796071974, 0.23600141484849538, -0.3790666838089177, -0.210752235141537, 0.06927126665818162, 0.18701241501858917, 0.08144799706604347, -0.034518160695757825, -0.25279972525828776, 0.08888625138254119, -0.09516509247134577, -0.17654917456522645, 0.028021863025000517, 0.03551968754189028, 0.024857659108763117, -0.28039298523417827, 0.10765069793634495, 0.02338409784047666, 0.05819263509436526, -0.11071483441055982, -0.0999396657948115, -0.061874690219439324, 0.07628752112762667, 0.04372167724401509, 0.12861519427607446, 0.21422585743678862, -0.19142818134984185, -0.03529305905237275, 0.34688041176738554, -0.06915229834333735, -0.04340650358444393, 0.22598822654385242, -0.2610020101849051, -0.17688324377246079, 0.2270822295886617, 0.1477314662445932, 0.13620222890825912, -0.08710958555266338, 0.001385788847506237, 0.017826425394932663, 0.19731952435373745, 0.04398999196504907, 0.01877714329724559, 0.33296952100440125, 0.161832193088275, 0.014063376316430475, 0.1383875455811322, -0.20259432462864693, -0.11266615180123109, -0.24693665898702732, -0.1148209548412181, -0.15382463348393433, 0.04278650046542113, -0.10989035172034894, -0.1256049164250249, 0.36205826791530077, 0.14076530541003238, 0.21717431172575863, 0.007179496254004752, 0.30112473728310807, 0.09557673825785044, 0.09670445888177262, 0.09176225791261608, 0.2936669830328281, 0.19363016062072616, 0.1448611861646374, -0.26311161148468737, 0.07292874470795886, -0.01705365514356002] |
1,802.00006 | Comments on a state-operator correspondence for the torus | We investigate the existence of a state-operator correspondence on the torus.
This correspondence would relate states of the CFT Hilbert space living on a
spatial torus to the path integral over compact Euclidean manifolds with
operator insertions. Unlike the states on the sphere that are associated to
local operators, we argue that those on the torus would more naturally be
associated to line operators. We find evidence that such a correspondence
cannot exist and in particular, we argue that no compact Euclidean path
integral can produce the vacuum on the torus. Our arguments come solely from
field theory and formulate a CFT version of the Horowitz-Myers conjecture for
the AdS soliton.
| hep-th | we investigate the existence of a stateoperator correspondence on the torus this correspondence would relate states of the cft hilbert space living on a spatial torus to the path integral over compact euclidean manifolds with operator insertions unlike the states on the sphere that are associated to local operators we argue that those on the torus would more naturally be associated to line operators we find evidence that such a correspondence cannot exist and in particular we argue that no compact euclidean path integral can produce the vacuum on the torus our arguments come solely from field theory and formulate a cft version of the horowitzmyers conjecture for the ads soliton | [['we', 'investigate', 'the', 'existence', 'of', 'a', 'stateoperator', 'correspondence', 'on', 'the', 'torus', 'this', 'correspondence', 'would', 'relate', 'states', 'of', 'the', 'cft', 'hilbert', 'space', 'living', 'on', 'a', 'spatial', 'torus', 'to', 'the', 'path', 'integral', 'over', 'compact', 'euclidean', 'manifolds', 'with', 'operator', 'insertions', 'unlike', 'the', 'states', 'on', 'the', 'sphere', 'that', 'are', 'associated', 'to', 'local', 'operators', 'we', 'argue', 'that', 'those', 'on', 'the', 'torus', 'would', 'more', 'naturally', 'be', 'associated', 'to', 'line', 'operators', 'we', 'find', 'evidence', 'that', 'such', 'a', 'correspondence', 'can', 'not', 'exist', 'and', 'in', 'particular', 'we', 'argue', 'that', 'no', 'compact', 'euclidean', 'path', 'integral', 'can', 'produce', 'the', 'vacuum', 'on', 'the', 'torus', 'our', 'arguments', 'come', 'solely', 'from', 'field', 'theory', 'and', 'formulate', 'a', 'cft', 'version', 'of', 'the', 'horowitzmyers', 'conjecture', 'for', 'the', 'ads', 'soliton']] | [-0.16271636263584835, 0.1080369633236514, -0.13000791199371084, 0.12470223014096117, -0.10155285606664177, -0.09129951421909772, 0.004678187165031764, 0.3849229152578659, -0.20801266697277357, -0.19904711905464129, 0.14071669330430292, -0.28320216232080114, -0.17333115942709082, 0.18988858243903597, -0.10284855968092342, -0.028394262731675193, 0.0654483487460393, 0.08440393225398955, -0.11674571516797752, -0.1926548402286596, 0.4281510848652672, -0.0237926665907474, 0.23625767013678947, 0.06634427132168869, 0.07735459515321497, 0.022876852456278896, -0.0149697866584468, 0.021056810028689518, -0.12686210332426814, 0.1685132307896122, 0.21297278247253448, 0.09376249917015131, 0.16401981421419093, -0.4734554821038031, -0.24924445007340396, 0.14462834820235232, 0.13978354853099664, 0.0750520759186632, -0.008580370895959949, -0.270003436233949, 0.06147458865768737, -0.12497124899816406, -0.17105998448725487, -0.0714532287355076, -0.0029205327197019985, -0.06547043063921167, -0.21327035403852393, 0.012422130847987425, 0.05837570492446691, 0.008380352464915664, -0.10092871214697338, -0.01822455100681599, -0.0722704554660464, 0.09212062406345262, 0.015980055094235116, 0.08838057658542786, 0.11175727580783067, -0.12180451454011607, -0.15706639877847722, 0.32265745566503423, -0.06898421697635287, -0.2401734484414159, 0.21383050247724797, -0.17866350823241445, -0.14493330142687302, 0.0952835425635934, 0.12584679513364225, 0.15743250245446558, -0.061118873037599226, 0.13529097687910302, -0.1522708201260717, 0.1276710774027952, 0.06796942223786367, 0.06827525115206938, 0.23559258168792407, 0.011638616419372123, 0.11619402401291908, 0.13630127561014346, -0.03487340526063801, -0.15112307173963468, -0.3793719392102044, -0.19041086065473858, -0.17644287640992384, 0.13369471054780613, -0.10860053496409065, -0.18324007615782656, 0.33474505154483086, 0.10727546330507812, 0.23496640131280228, 0.08363949905069931, 0.18127101958469227, 0.12304900498192355, 0.1111023629814185, 0.08287882624059781, 0.21223077433066326, 0.1074915256455849, 0.04381412668636085, -0.21623966386195625, -0.05874221044936561, 0.16925870957742403] |
1,802.00007 | Electric Dipole Moments in the Minimal Scotogenic Model | In this work we consider a minimal version of the scotogenic model capable of
accounting for an electron electric dipole moment within experimental
sensitivity reach in addition to providing a dark matter candidate and
radiatively generating neutrino masses. The Standard Model is minimally
extended by two sterile fermions and one inert scalar doublet, both having odd
parity, while the Standard Model particles have an even parity, imposed by a Z2
symmetry. The neutrino Yukawa couplings provide additional sources of CP
violation, and thus a possible impact on electric dipole moments of charged
leptons. This model provides two possible dark matter candidates (one bosonic
and one fermionic) and our results show that, independently of the ordering of
the generated light neutrino spectrum, one can have sizeable electron electric
dipole moment within ACME sensitivity reach in the case of fermionic dark
matter candidate.
| hep-ph hep-ex | in this work we consider a minimal version of the scotogenic model capable of accounting for an electron electric dipole moment within experimental sensitivity reach in addition to providing a dark matter candidate and radiatively generating neutrino masses the standard model is minimally extended by two sterile fermions and one inert scalar doublet both having odd parity while the standard model particles have an even parity imposed by a z2 symmetry the neutrino yukawa couplings provide additional sources of cp violation and thus a possible impact on electric dipole moments of charged leptons this model provides two possible dark matter candidates one bosonic and one fermionic and our results show that independently of the ordering of the generated light neutrino spectrum one can have sizeable electron electric dipole moment within acme sensitivity reach in the case of fermionic dark matter candidate | [['in', 'this', 'work', 'we', 'consider', 'a', 'minimal', 'version', 'of', 'the', 'scotogenic', 'model', 'capable', 'of', 'accounting', 'for', 'an', 'electron', 'electric', 'dipole', 'moment', 'within', 'experimental', 'sensitivity', 'reach', 'in', 'addition', 'to', 'providing', 'a', 'dark', 'matter', 'candidate', 'and', 'radiatively', 'generating', 'neutrino', 'masses', 'the', 'standard', 'model', 'is', 'minimally', 'extended', 'by', 'two', 'sterile', 'fermions', 'and', 'one', 'inert', 'scalar', 'doublet', 'both', 'having', 'odd', 'parity', 'while', 'the', 'standard', 'model', 'particles', 'have', 'an', 'even', 'parity', 'imposed', 'by', 'a', 'z2', 'symmetry', 'the', 'neutrino', 'yukawa', 'couplings', 'provide', 'additional', 'sources', 'of', 'cp', 'violation', 'and', 'thus', 'a', 'possible', 'impact', 'on', 'electric', 'dipole', 'moments', 'of', 'charged', 'leptons', 'this', 'model', 'provides', 'two', 'possible', 'dark', 'matter', 'candidates', 'one', 'bosonic', 'and', 'one', 'fermionic', 'and', 'our', 'results', 'show', 'that', 'independently', 'of', 'the', 'ordering', 'of', 'the', 'generated', 'light', 'neutrino', 'spectrum', 'one', 'can', 'have', 'sizeable', 'electron', 'electric', 'dipole', 'moment', 'within', 'acme', 'sensitivity', 'reach', 'in', 'the', 'case', 'of', 'fermionic', 'dark', 'matter', 'candidate']] | [-0.12339183222997854, 0.25919201104024076, -0.004946857145888374, 0.14433923689896203, -0.06925700404119829, -0.18992404197177565, 0.03542496849607729, 0.3025393858056595, -0.1572870956106336, -0.38259208798804817, -0.015082696494844524, -0.2875541394199938, -0.0023562608010974442, 0.10812147607009673, 0.10066869552082099, 0.007530388399192416, -0.0208677189318952, 0.03221993482401694, -0.028363424917214042, -0.2576700818232848, 0.2658799326093537, 0.031093836312862576, 0.21622318734830998, 0.06857535047192417, 0.08688104079032304, -0.012198187060759846, 0.010231613209603209, -0.0675964937644436, -0.045532148158277226, 0.08053427641709329, 0.133522363422531, 0.04719221374640862, 0.11883820777474935, -0.43800324840959926, -0.17819644240596405, 0.19694073106234905, 0.12028519350850413, 0.11637672730589431, -0.1573492321194024, -0.3226413604859527, 0.03393432858783144, -0.23023732167880004, -0.1733723689590627, -0.10164984221841004, -0.06142751396970546, -0.07483937690432467, -0.33403864832667646, 0.09750461983758665, 0.01274988591565308, -0.0163356822532278, -0.05016443129308548, -0.16008846988531608, -0.022761307470170213, 0.0007718703016004664, 0.1396387117883481, -0.018415215408680498, 0.14599185494346056, -0.2005960939518929, -0.1438455828638906, 0.4449716999809793, -0.13486001511593185, -0.19801175021005016, 0.11872818795237558, -0.14307681573488823, -0.13835243812715964, 0.12925963213416278, 0.12101610359597079, 0.07536573633254368, -0.18013441835444235, 0.14425063122465137, -0.10011840474970163, 0.1695946074777831, 0.0383091425582608, 0.04535972275143714, 0.3819936377504933, 0.17707123656935514, 0.09616624255803355, 0.06154525159950639, -0.12034340172259679, -0.056566118628466965, -0.3522021587647445, -0.1318659093784142, -0.13303345866362623, 0.04336406786658583, -0.060976390306922895, -0.09837504779112506, 0.4480266139796334, 0.14165645506371685, 0.14197006973550252, -0.014877305445360376, 0.3262482929185482, 0.06357816029224439, 0.05511199830575509, 0.01083714141657391, 0.3191394184101769, 0.1502543288375522, 0.06151015730327035, -0.26247458935695445, -0.02436313400183745, 0.03332629020438126] |
1,802.00008 | On the Topic of Jets: Disentangling Quarks and Gluons at Colliders | We introduce jet topics: a framework to identify underlying classes of jets
from collider data. Because of a close mathematical relationship between
distributions of observables in jets and emergent themes in sets of documents,
we can apply recent techniques in "topic modeling" to extract jet topics from
data with minimal or no input from simulation or theory. As a proof of concept
with parton shower samples, we apply jet topics to determine separate quark and
gluon jet distributions for constituent multiplicity. We also determine
separate quark and gluon rapidity spectra from a mixed Z-plus-jet sample. While
jet topics are defined directly from hadron-level multi-differential cross
sections, one can also predict jet topics from first-principles theoretical
calculations, with potential implications for how to define quark and gluon
jets beyond leading-logarithmic accuracy. These investigations suggest that jet
topics will be useful for extracting underlying jet distributions and fractions
in a wide range of contexts at the Large Hadron Collider.
| hep-ph hep-ex stat.ML | we introduce jet topics a framework to identify underlying classes of jets from collider data because of a close mathematical relationship between distributions of observables in jets and emergent themes in sets of documents we can apply recent techniques in topic modeling to extract jet topics from data with minimal or no input from simulation or theory as a proof of concept with parton shower samples we apply jet topics to determine separate quark and gluon jet distributions for constituent multiplicity we also determine separate quark and gluon rapidity spectra from a mixed zplusjet sample while jet topics are defined directly from hadronlevel multidifferential cross sections one can also predict jet topics from firstprinciples theoretical calculations with potential implications for how to define quark and gluon jets beyond leadinglogarithmic accuracy these investigations suggest that jet topics will be useful for extracting underlying jet distributions and fractions in a wide range of contexts at the large hadron collider | [['we', 'introduce', 'jet', 'topics', 'a', 'framework', 'to', 'identify', 'underlying', 'classes', 'of', 'jets', 'from', 'collider', 'data', 'because', 'of', 'a', 'close', 'mathematical', 'relationship', 'between', 'distributions', 'of', 'observables', 'in', 'jets', 'and', 'emergent', 'themes', 'in', 'sets', 'of', 'documents', 'we', 'can', 'apply', 'recent', 'techniques', 'in', 'topic', 'modeling', 'to', 'extract', 'jet', 'topics', 'from', 'data', 'with', 'minimal', 'or', 'no', 'input', 'from', 'simulation', 'or', 'theory', 'as', 'a', 'proof', 'of', 'concept', 'with', 'parton', 'shower', 'samples', 'we', 'apply', 'jet', 'topics', 'to', 'determine', 'separate', 'quark', 'and', 'gluon', 'jet', 'distributions', 'for', 'constituent', 'multiplicity', 'we', 'also', 'determine', 'separate', 'quark', 'and', 'gluon', 'rapidity', 'spectra', 'from', 'a', 'mixed', 'zplusjet', 'sample', 'while', 'jet', 'topics', 'are', 'defined', 'directly', 'from', 'hadronlevel', 'multidifferential', 'cross', 'sections', 'one', 'can', 'also', 'predict', 'jet', 'topics', 'from', 'firstprinciples', 'theoretical', 'calculations', 'with', 'potential', 'implications', 'for', 'how', 'to', 'define', 'quark', 'and', 'gluon', 'jets', 'beyond', 'leadinglogarithmic', 'accuracy', 'these', 'investigations', 'suggest', 'that', 'jet', 'topics', 'will', 'be', 'useful', 'for', 'extracting', 'underlying', 'jet', 'distributions', 'and', 'fractions', 'in', 'a', 'wide', 'range', 'of', 'contexts', 'at', 'the', 'large', 'hadron', 'collider']] | [0.039642053350316696, 0.16661004558092174, -0.18769947615846133, 0.17688584891267312, -0.12338956652018122, -0.08758485187382366, 0.015425374882910639, 0.40339581053166723, -0.23811329419288832, -0.30539383251184166, -0.0114042586975325, -0.30778499978343743, 0.01047952020039352, 0.18041272161570257, 0.011100726578241358, 0.07024769366193467, 0.12160093019692561, -0.059668361101872645, -0.08694880979228167, -0.16345700258926416, 0.3712747924474593, 0.03842416765222039, 0.23045836909053227, 0.13024557140828946, 0.0913360785612335, 0.026856177067085624, -0.128083873889409, 0.013764672444010966, -0.1443206818540859, 0.0931727721966896, 0.3322028626888566, 0.1330662139524252, 0.17348132055420323, -0.3755992545015593, -0.1806852976582237, 0.04146207141009374, 0.13135458555860588, 0.08805211333450504, -0.007780934078021882, -0.22785065021628562, 0.11312966431805996, -0.2667251482564144, -0.11033128895528185, -0.10892997865448706, -0.007213596332197388, 0.023804170881377127, -0.2784270745797608, 0.056755580374812827, -0.03481780597231148, 0.05778925234368123, 0.035237129526929215, -0.17519352406051417, -0.057114677846980974, 0.0738125436533338, 0.1344067686359034, 0.06407042403887504, 0.20324742241213337, -0.2063399932189779, -0.22807623577029565, 0.3884641076438129, 0.016287500465226073, -0.16826517634893742, 0.20137878339319754, -0.21378667230526796, -0.19695641737556657, 0.12281951302280411, 0.30535327359953396, 0.10167010355134828, -0.1653644604778562, 0.029541091746814813, -0.049495482943595376, 0.16834596190780687, 0.044904282850881994, 0.07069503636179994, 0.27039506873235297, 0.15885119815954032, -0.033835549641830415, 0.10855723155635552, -0.10712048939865035, -0.07756611752735737, -0.39246120148872693, -0.06830452589724118, -0.09758823050353198, 0.023539027916297365, -0.07165484298690362, -0.11153440046846533, 0.40330432347045875, 0.1359930023482332, 0.26301916064422726, -0.010511753722452201, 0.2802348618965763, 0.01197681370570372, 0.051360579863121994, 0.11695067761581576, 0.20060611850334306, 0.19525589213634914, 0.14770152850989968, -0.1293676479067355, 0.0452235033250569, 0.07445787745289123] |
1,802.00009 | Lepton-Number-Charged Scalars and Neutrino Beamstrahlung | Experimentally, baryon number minus lepton number, $B-L$, appears to be a
good global symmetry of nature. We explore the consequences of the existence of
gauge-singlet scalar fields charged under $B-L$ -- dubbed lepton-number-charged
scalars, LeNCS -- and postulate that these couple to the standard model degrees
of freedom in such a way that $B-L$ is conserved even at the non-renormalizable
level. In this framework, neutrinos are Dirac fermions. Including only the
lowest mass-dimension effective operators, some of the LeNCS couple
predominantly to neutrinos and may be produced in terrestrial neutrino
experiments. We examine several existing constraints from particle physics,
astrophysics, and cosmology to the existence of a LeNCS carrying $B-L$ charge
equal to two, and discuss the emission of LeNCS's via "neutrino beamstrahlung,"
which occurs every once in a while when neutrinos scatter off of ordinary
matter. We identify regions of the parameter space where existing and future
neutrino experiments, including the Deep Underground Neutrino Experiment, are
at the frontier of searches for such new phenomena.
| hep-ph hep-ex | experimentally baryon number minus lepton number bl appears to be a good global symmetry of nature we explore the consequences of the existence of gaugesinglet scalar fields charged under bl dubbed leptonnumbercharged scalars lencs and postulate that these couple to the standard model degrees of freedom in such a way that bl is conserved even at the nonrenormalizable level in this framework neutrinos are dirac fermions including only the lowest massdimension effective operators some of the lencs couple predominantly to neutrinos and may be produced in terrestrial neutrino experiments we examine several existing constraints from particle physics astrophysics and cosmology to the existence of a lencs carrying bl charge equal to two and discuss the emission of lencss via neutrino beamstrahlung which occurs every once in a while when neutrinos scatter off of ordinary matter we identify regions of the parameter space where existing and future neutrino experiments including the deep underground neutrino experiment are at the frontier of searches for such new phenomena | [['experimentally', 'baryon', 'number', 'minus', 'lepton', 'number', 'bl', 'appears', 'to', 'be', 'a', 'good', 'global', 'symmetry', 'of', 'nature', 'we', 'explore', 'the', 'consequences', 'of', 'the', 'existence', 'of', 'gaugesinglet', 'scalar', 'fields', 'charged', 'under', 'bl', 'dubbed', 'leptonnumbercharged', 'scalars', 'lencs', 'and', 'postulate', 'that', 'these', 'couple', 'to', 'the', 'standard', 'model', 'degrees', 'of', 'freedom', 'in', 'such', 'a', 'way', 'that', 'bl', 'is', 'conserved', 'even', 'at', 'the', 'nonrenormalizable', 'level', 'in', 'this', 'framework', 'neutrinos', 'are', 'dirac', 'fermions', 'including', 'only', 'the', 'lowest', 'massdimension', 'effective', 'operators', 'some', 'of', 'the', 'lencs', 'couple', 'predominantly', 'to', 'neutrinos', 'and', 'may', 'be', 'produced', 'in', 'terrestrial', 'neutrino', 'experiments', 'we', 'examine', 'several', 'existing', 'constraints', 'from', 'particle', 'physics', 'astrophysics', 'and', 'cosmology', 'to', 'the', 'existence', 'of', 'a', 'lencs', 'carrying', 'bl', 'charge', 'equal', 'to', 'two', 'and', 'discuss', 'the', 'emission', 'of', 'lencss', 'via', 'neutrino', 'beamstrahlung', 'which', 'occurs', 'every', 'once', 'in', 'a', 'while', 'when', 'neutrinos', 'scatter', 'off', 'of', 'ordinary', 'matter', 'we', 'identify', 'regions', 'of', 'the', 'parameter', 'space', 'where', 'existing', 'and', 'future', 'neutrino', 'experiments', 'including', 'the', 'deep', 'underground', 'neutrino', 'experiment', 'are', 'at', 'the', 'frontier', 'of', 'searches', 'for', 'such', 'new', 'phenomena']] | [-0.10739978264735575, 0.27385225274634584, -0.020740711009474815, 0.16076429403835424, -0.10121082142139153, -0.14087066309308105, 0.024103253132686662, 0.29529733867327, -0.21705365961670509, -0.33945460994957866, 0.040416838618478286, -0.3036914973255293, -0.05301828746522926, 0.1538259370696593, 0.046653092936555174, -0.006852646769357868, 0.020274146011582127, 0.011079933763629712, -0.05441199049869564, -0.2336734406158535, 0.3017251106082565, 0.05535095668937522, 0.2241025959819923, 0.04680296896208066, 0.1177911586386876, -0.04032225857695772, -0.03454946384213313, -0.04107954289011778, -0.05336904401894886, 0.058171811128426114, 0.21190729595571298, 0.10374666026500226, 0.17951113460757942, -0.42612996691299665, -0.2108561975039243, 0.21270199738051973, 0.14271756013018871, 0.09508342880620564, -0.09883310711356225, -0.2960794382091945, 0.06307621600996001, -0.17334503079132166, -0.15053277000508927, -0.05803294023356967, -0.04964452478057348, -0.04542619653404, -0.26563401935898046, 0.09311458620693346, -0.03356394259780818, -0.0013618137468986305, -0.04014475094901835, -0.14640484977640028, -0.04885853246072836, 0.045576099843328624, 0.17005016985291868, -0.03176768831703898, 0.12998772326053443, -0.21512780921752162, -0.1346802029156494, 0.4217876216833606, -0.06714897269934968, -0.17034705907658296, 0.18887796460788836, -0.18034551368543394, -0.168222092344989, 0.10141961331145814, 0.17260132830181837, 0.09205212584771445, -0.1566489286952326, 0.12211213025579194, -0.08867299645265311, 0.1153833931369454, 0.05102324462495744, 0.08342649057840952, 0.32154381134903726, 0.17466658082124878, 0.07731143573664105, 0.026284658000804484, -0.12208869047412638, -0.0457404598918525, -0.39007196914588593, -0.13951082600936018, -0.11364644905911575, 0.05556058097719847, -0.034095554194321684, -0.08834137763097928, 0.43608265881495617, 0.15263225032120115, 0.17744324240189643, -0.022835742456574038, 0.26246971322186174, 0.05767667859043196, 0.09633534944495531, 0.051588267369632734, 0.3201077840670751, 0.11467650247576797, 0.09082664558405264, -0.22871284932742486, -0.044827030020202566, 0.0618958636244506] |
1,802.0001 | Lindbladians with multiple steady states: theory and applications | Markovian master equations, often called Liouvillians or Lindbladians, are
used to describe decay and decoherence of a quantum system induced by that
system's environment. While a natural environment is detrimental to fragile
quantum properties, an engineered environment can drive the system toward
exotic phases of matter or toward subspaces protected from noise. These cases
often require the Lindbladian to have more than one steady state, and such
Lindbladians are dissipative analogues of Hamiltonians with multiple ground
states. This thesis studies Lindbladian extensions of topics commonplace in
degenerate Hamiltonian systems, providing examples and historical context along
the way.
| quant-ph cond-mat.mes-hall cond-mat.stat-mech math-ph math.MP | markovian master equations often called liouvillians or lindbladians are used to describe decay and decoherence of a quantum system induced by that systems environment while a natural environment is detrimental to fragile quantum properties an engineered environment can drive the system toward exotic phases of matter or toward subspaces protected from noise these cases often require the lindbladian to have more than one steady state and such lindbladians are dissipative analogues of hamiltonians with multiple ground states this thesis studies lindbladian extensions of topics commonplace in degenerate hamiltonian systems providing examples and historical context along the way | [['markovian', 'master', 'equations', 'often', 'called', 'liouvillians', 'or', 'lindbladians', 'are', 'used', 'to', 'describe', 'decay', 'and', 'decoherence', 'of', 'a', 'quantum', 'system', 'induced', 'by', 'that', 'systems', 'environment', 'while', 'a', 'natural', 'environment', 'is', 'detrimental', 'to', 'fragile', 'quantum', 'properties', 'an', 'engineered', 'environment', 'can', 'drive', 'the', 'system', 'toward', 'exotic', 'phases', 'of', 'matter', 'or', 'toward', 'subspaces', 'protected', 'from', 'noise', 'these', 'cases', 'often', 'require', 'the', 'lindbladian', 'to', 'have', 'more', 'than', 'one', 'steady', 'state', 'and', 'such', 'lindbladians', 'are', 'dissipative', 'analogues', 'of', 'hamiltonians', 'with', 'multiple', 'ground', 'states', 'this', 'thesis', 'studies', 'lindbladian', 'extensions', 'of', 'topics', 'commonplace', 'in', 'degenerate', 'hamiltonian', 'systems', 'providing', 'examples', 'and', 'historical', 'context', 'along', 'the', 'way']] | [-0.16585380696096294, 0.18957094576095168, -0.06523476314452506, 0.09358439736365888, -0.023141298385471413, -0.20051291349737607, -0.0011816177632390837, 0.34469732246601703, -0.2768332006976239, -0.2735357770561865, 0.10667063775544353, -0.294020195674036, -0.14163271000263156, 0.22062151736493424, -0.05358972816641644, 0.0811011846724552, 0.08169858202760674, 0.002773102497701178, -0.04622582692086466, -0.2094413423886734, 0.36087784423617664, 0.01712985721551189, 0.22638126058484784, -0.06566982027431278, 0.06112450202830981, -0.03960649297721492, 0.04566799570355065, -0.02460804467013939, -0.06246119321207816, 0.06454449464487795, 0.27543137840849835, 0.06899065646275725, 0.26491921154071685, -0.4894338268786669, -0.24162256802173004, 0.13314685578933275, 0.15358936847139573, 0.18704592692665756, -0.012305416803616196, -0.3837581100134352, 0.003739088015227588, -0.18389477744967359, -0.16809870214825592, -0.14283095793702552, 0.0025527379631554497, -0.02012620004165207, -0.20482488267469345, 0.07547730428752364, 0.10255360909852862, 0.05791346274901988, -0.033670796085024234, -0.07476621941836148, -0.02808404695626694, 0.12126058749026455, -0.01647544075427673, -0.030773283265646278, 0.19958844613379886, -0.15140907913350413, -0.14720376446535907, 0.3948012280863585, -0.028140901588653598, -0.2068714576763744, 0.2793605471433131, -0.08300871355234064, -0.1328942267795468, 0.1085340240826235, 0.16964928733818618, 0.09551706895731467, -0.19305249466890825, 0.061531190830642915, 0.045286507192115806, 0.12671606281061762, -0.015801033948442525, 0.15520413665907437, 0.23350981844243468, 0.10530694261116465, 0.09349440531349097, 0.14202526693722023, 0.04905255368344255, -0.18538289693347418, -0.2626930988956598, -0.1475899497877576, -0.15962501018807368, 0.1063590220718155, 0.0185304916871546, -0.1585935543377682, 0.36869052636254696, 0.15163974100651853, 0.12448076880777005, -0.026699456400670035, 0.2698504620462118, 0.097239692445806, 0.02978517398353397, 0.07339122768529911, 0.17217494559368676, 0.13406858929509738, 0.0706402670769693, -0.203283085298158, 0.06845500797378956, 0.013124903323148022] |
1,802.00011 | A new probe of line-of-sight magnetic field tangling | The Galactic neutral hydrogen (HI) sky at high Galactic latitudes is suffused
with linear structure. Particularly prominent in narrow spectral intervals,
these linear HI features are well aligned with the plane-of-sky magnetic field
orientation as measured with optical starlight polarization and polarized
thermal dust emission. We analyze the coherence of the orientation of these
features with respect to line-of-sight velocity, and propose a new metric to
quantify this HI coherence. We show that HI coherence is linearly correlated
with the polarization fraction of 353 GHz dust emission. HI coherence
constitutes a novel method for measuring the degree of magnetic field tangling
along the line of sight in the diffuse interstellar medium. We propose
applications of this property for HI-based models of the polarized dust
emission in diffuse regions, and for studies of frequency decorrelation in the
polarized dust foreground to the cosmic microwave background (CMB).
| astro-ph.GA astro-ph.CO | the galactic neutral hydrogen hi sky at high galactic latitudes is suffused with linear structure particularly prominent in narrow spectral intervals these linear hi features are well aligned with the planeofsky magnetic field orientation as measured with optical starlight polarization and polarized thermal dust emission we analyze the coherence of the orientation of these features with respect to lineofsight velocity and propose a new metric to quantify this hi coherence we show that hi coherence is linearly correlated with the polarization fraction of 353 ghz dust emission hi coherence constitutes a novel method for measuring the degree of magnetic field tangling along the line of sight in the diffuse interstellar medium we propose applications of this property for hibased models of the polarized dust emission in diffuse regions and for studies of frequency decorrelation in the polarized dust foreground to the cosmic microwave background cmb | [['the', 'galactic', 'neutral', 'hydrogen', 'hi', 'sky', 'at', 'high', 'galactic', 'latitudes', 'is', 'suffused', 'with', 'linear', 'structure', 'particularly', 'prominent', 'in', 'narrow', 'spectral', 'intervals', 'these', 'linear', 'hi', 'features', 'are', 'well', 'aligned', 'with', 'the', 'planeofsky', 'magnetic', 'field', 'orientation', 'as', 'measured', 'with', 'optical', 'starlight', 'polarization', 'and', 'polarized', 'thermal', 'dust', 'emission', 'we', 'analyze', 'the', 'coherence', 'of', 'the', 'orientation', 'of', 'these', 'features', 'with', 'respect', 'to', 'lineofsight', 'velocity', 'and', 'propose', 'a', 'new', 'metric', 'to', 'quantify', 'this', 'hi', 'coherence', 'we', 'show', 'that', 'hi', 'coherence', 'is', 'linearly', 'correlated', 'with', 'the', 'polarization', 'fraction', 'of', '353', 'ghz', 'dust', 'emission', 'hi', 'coherence', 'constitutes', 'a', 'novel', 'method', 'for', 'measuring', 'the', 'degree', 'of', 'magnetic', 'field', 'tangling', 'along', 'the', 'line', 'of', 'sight', 'in', 'the', 'diffuse', 'interstellar', 'medium', 'we', 'propose', 'applications', 'of', 'this', 'property', 'for', 'hibased', 'models', 'of', 'the', 'polarized', 'dust', 'emission', 'in', 'diffuse', 'regions', 'and', 'for', 'studies', 'of', 'frequency', 'decorrelation', 'in', 'the', 'polarized', 'dust', 'foreground', 'to', 'the', 'cosmic', 'microwave', 'background', 'cmb']] | [-0.0944211509777233, 0.14406277019912117, 0.0051466584951008875, 0.053478055484851614, -0.06290714807821335, -0.04013241375408446, -0.03908380266673501, 0.5276467763922281, -0.2553085777585188, -0.26179654236774597, -0.017077853450448148, -0.28591878821154953, -0.006283023420514332, 0.14897727518756357, 0.03722435642784047, -0.0026312125539536485, -0.05739424941000632, -0.1302323078173989, -0.011899859448830184, -0.20399680018534935, 0.30310069014861557, 0.12687806518321545, 0.25688609487325365, 0.053739326508043125, 0.11462263538972668, -0.0808460638735495, -0.12545592577144918, 0.018388892472204234, -0.08362050491779074, 0.11784985457153299, 0.24393891861465514, 0.11120400371469764, 0.13677810598973236, -0.3484537598431214, -0.24252443436287446, 0.0807716908877612, 0.14110307217763168, 0.11887611085290296, -0.02310001983682418, -0.29323618681842667, 0.017846018714610383, -0.102933757404167, -0.19627226112707932, 0.027515269869278807, 0.02180101367250447, 0.04424669125971074, -0.2214550279366247, 0.13972288262448274, 0.02022580567831432, 0.1454349259689075, -0.07371210697520938, -0.06857161657858847, -0.05000304087459679, 0.018765995647603024, 0.021700120243218005, 0.101297625130327, 0.22719593425992773, -0.1399891696415049, -0.01406370525768984, 0.39944472566518624, -0.15272938407724723, -0.053849358793943085, 0.1591745143202085, -0.26135740957922987, -0.16105064501365027, 0.1960654703951958, 0.19979098112849492, 0.0717206037370488, -0.11196387888816793, 0.010920470943043862, -0.05261534786809029, 0.21707149193227654, 0.07310618864398243, 0.1343663748686797, 0.3418092825320653, 0.0548597143618584, 0.10866980528226122, 0.16788085328153102, -0.29372821617936196, 0.00818072740932823, -0.2328982649746144, -0.10002744639738619, -0.11993285571224988, 0.08098676754970155, -0.1456474701890329, -0.13983914651584606, 0.378029370444387, 0.14823806441543436, 0.2331429261313234, 0.031016952849717602, 0.4087064104258186, 0.05680030896231377, 0.05421493472143387, 0.11170827715411885, 0.2970997946104035, 0.23846118356515136, 0.1204520659642488, -0.2602312479996019, 0.07383022404004198, -0.044224715785175145] |
1,802.00012 | Spiral arms, warping, and clumps formation in the Galactic center young
stellar disk | The Galactic center of the Milky-Way harbors a massive black hole (BH)
orbited by a diverse population of young and old stars. A significant fraction
of the youngest stars ($\sim4-7$ Myr) reside in a thin stellar disk with
puzzling properties; the disk appears to be warped, shows asymmetries, and
contains one or more clumpy structures (e.g. IRS 13). Models explaining the
clumping invoked the existence of an intermediate-mass BH of $10^{3}-10^{4}$
M$_{\odot}$, but no kinematic evidence for such a BH has been found. Here we
use extended $N$-body simulations and hybrid self-consistent field method
models to show that naturally formed residual temporal asphericity of the
hosting nuclear star cluster gives rise to torques on the disk, which lead to
changes in its orientation over time, and to recurrent formation and
dissolution of single spiral arm ($m=1$ modes) structures. The changing
orientation leads to a flapping-like behavior of the disk and to the formation
of a warped disk structure. The spiral arms may explain the over-densities in
the disk (clumping) and its observed asymmetry, without invoking the existence
of an intermediate-mass BH. The spiral arms are also important for the overall
disk evolution and can be used to constrain the structure and composition of
the nuclear stellar cluster.
| astro-ph.GA | the galactic center of the milkyway harbors a massive black hole bh orbited by a diverse population of young and old stars a significant fraction of the youngest stars sim47 myr reside in a thin stellar disk with puzzling properties the disk appears to be warped shows asymmetries and contains one or more clumpy structures eg irs 13 models explaining the clumping invoked the existence of an intermediatemass bh of 103104 m_odot but no kinematic evidence for such a bh has been found here we use extended nbody simulations and hybrid selfconsistent field method models to show that naturally formed residual temporal asphericity of the hosting nuclear star cluster gives rise to torques on the disk which lead to changes in its orientation over time and to recurrent formation and dissolution of single spiral arm m1 modes structures the changing orientation leads to a flappinglike behavior of the disk and to the formation of a warped disk structure the spiral arms may explain the overdensities in the disk clumping and its observed asymmetry without invoking the existence of an intermediatemass bh the spiral arms are also important for the overall disk evolution and can be used to constrain the structure and composition of the nuclear stellar cluster | [['the', 'galactic', 'center', 'of', 'the', 'milkyway', 'harbors', 'a', 'massive', 'black', 'hole', 'bh', 'orbited', 'by', 'a', 'diverse', 'population', 'of', 'young', 'and', 'old', 'stars', 'a', 'significant', 'fraction', 'of', 'the', 'youngest', 'stars', 'sim47', 'myr', 'reside', 'in', 'a', 'thin', 'stellar', 'disk', 'with', 'puzzling', 'properties', 'the', 'disk', 'appears', 'to', 'be', 'warped', 'shows', 'asymmetries', 'and', 'contains', 'one', 'or', 'more', 'clumpy', 'structures', 'eg', 'irs', '13', 'models', 'explaining', 'the', 'clumping', 'invoked', 'the', 'existence', 'of', 'an', 'intermediatemass', 'bh', 'of', '103104', 'm_odot', 'but', 'no', 'kinematic', 'evidence', 'for', 'such', 'a', 'bh', 'has', 'been', 'found', 'here', 'we', 'use', 'extended', 'nbody', 'simulations', 'and', 'hybrid', 'selfconsistent', 'field', 'method', 'models', 'to', 'show', 'that', 'naturally', 'formed', 'residual', 'temporal', 'asphericity', 'of', 'the', 'hosting', 'nuclear', 'star', 'cluster', 'gives', 'rise', 'to', 'torques', 'on', 'the', 'disk', 'which', 'lead', 'to', 'changes', 'in', 'its', 'orientation', 'over', 'time', 'and', 'to', 'recurrent', 'formation', 'and', 'dissolution', 'of', 'single', 'spiral', 'arm', 'm1', 'modes', 'structures', 'the', 'changing', 'orientation', 'leads', 'to', 'a', 'flappinglike', 'behavior', 'of', 'the', 'disk', 'and', 'to', 'the', 'formation', 'of', 'a', 'warped', 'disk', 'structure', 'the', 'spiral', 'arms', 'may', 'explain', 'the', 'overdensities', 'in', 'the', 'disk', 'clumping', 'and', 'its', 'observed', 'asymmetry', 'without', 'invoking', 'the', 'existence', 'of', 'an', 'intermediatemass', 'bh', 'the', 'spiral', 'arms', 'are', 'also', 'important', 'for', 'the', 'overall', 'disk', 'evolution', 'and', 'can', 'be', 'used', 'to', 'constrain', 'the', 'structure', 'and', 'composition', 'of', 'the', 'nuclear', 'stellar', 'cluster']] | [-0.11217128695271349, 0.08634419661245277, -0.0886892944628608, 0.12248060701994759, -0.12482531186988921, -0.03381985750894777, -0.0020562779498557804, 0.3938536432614658, -0.2036686837221089, -0.3406765731955761, 0.05345315548638786, -0.22398155139255094, -0.0391828285821813, 0.15948640251305019, -0.02055751973564185, -0.04858494179777675, 0.04276511973579351, -0.054002522766698625, -0.05830169319360544, -0.2333982775012682, 0.309010938130934, 0.05742293681036138, 0.08266110531081564, -0.051958374948087103, 0.0484192357248812, -0.11699812512311325, -0.009751279569384687, -0.020382027657141963, -0.16326761533844864, 0.06453520523187692, 0.18862179715291047, 0.11925727290862005, 0.21624436314009782, -0.42796933956588934, -0.22139329117388257, 0.03992812840485023, 0.23265943638165199, 0.06867075237407105, -0.1270087906694208, -0.24792395669625603, 0.10018708853904967, -0.23022156243503347, -0.2095175136888888, 0.04877416662513267, 0.06181644171858387, -0.01421834737654703, -0.24992761645594372, 0.1583927293121306, 0.0925811877704759, 0.02126552961377915, -0.12226615063348803, -0.06628064976471648, -0.10696937561089408, 0.0902612086976607, 0.0530233662321178, 0.08693342280712033, 0.2252418309070387, -0.15289412331142918, -0.07735835846617492, 0.39512498978778576, -0.047735936677499306, -0.05595988228721307, 0.2602907570748075, -0.24461795576820963, -0.1484403400388049, 0.12927592147110048, 0.17189631891861848, 0.12103859820737711, -0.108786973506054, 0.02237053489899127, -0.0430307525630534, 0.22034880362939344, 0.05930580529474735, 0.05392386141918075, 0.38649688797632176, 0.14315572530664142, 0.027017302031841273, 0.11715270498500757, -0.19266193369471296, -0.10679111615257356, -0.19356781555095562, -0.10953045352554239, -0.07414184625088735, 0.09866904122167204, -0.1522187300616829, -0.16264562137895128, 0.341247136351987, 0.05486416802816466, 0.2603584773951827, -0.022042755934396235, 0.2615823079922318, 0.047317833198320336, 0.15926898170479584, 0.14977316446014616, 0.2910613796551649, 0.2074885173232828, 0.046247626618706524, -0.29786250407580633, 0.11859516464671102, -0.024335415651840928] |
1,802.00013 | Exotic Superconductivity with Enhanced Energy Scales in Three Band
Crossing Materials | Three band crossings can arise in three dimensional quantum materials with
certain space group symmetries. The low energy Hamiltonian supports spin
$\textit{one}$ fermions and a flat band. We study the pairing problem in this
setting. We write down a minimal BCS Hamiltonian and decompose it into
spin-orbit coupled irreducible pairing channels. We then solve the resulting
gap equations in channels with zero total angular momentum. We find that in the
spin singlet channel (and also in an unusual `spin quintet' channel),
superconductivity is enormously enhanced, with a possibility for the critical
temperature to be $\textit{linear}$ in interaction strength. Meanwhile, in the
spin triplet channel, the superconductivity exhibits features of conventional
BCS theory due to the absence of flat band pairing. Three band crossings thus
represent an exciting new platform for realizing exotic superconducting states
with enhanced energy scales. We also discuss the effects of doping, nonzero
temperature, and of retaining additional terms in the $\mathbf{k} \cdot
\mathbf{p}$ expansion of the Hamiltonian.
| cond-mat.str-el cond-mat.stat-mech cond-mat.supr-con | three band crossings can arise in three dimensional quantum materials with certain space group symmetries the low energy hamiltonian supports spin textitone fermions and a flat band we study the pairing problem in this setting we write down a minimal bcs hamiltonian and decompose it into spinorbit coupled irreducible pairing channels we then solve the resulting gap equations in channels with zero total angular momentum we find that in the spin singlet channel and also in an unusual spin quintet channel superconductivity is enormously enhanced with a possibility for the critical temperature to be textitlinear in interaction strength meanwhile in the spin triplet channel the superconductivity exhibits features of conventional bcs theory due to the absence of flat band pairing three band crossings thus represent an exciting new platform for realizing exotic superconducting states with enhanced energy scales we also discuss the effects of doping nonzero temperature and of retaining additional terms in the mathbfk cdot mathbfp expansion of the hamiltonian | [['three', 'band', 'crossings', 'can', 'arise', 'in', 'three', 'dimensional', 'quantum', 'materials', 'with', 'certain', 'space', 'group', 'symmetries', 'the', 'low', 'energy', 'hamiltonian', 'supports', 'spin', 'textitone', 'fermions', 'and', 'a', 'flat', 'band', 'we', 'study', 'the', 'pairing', 'problem', 'in', 'this', 'setting', 'we', 'write', 'down', 'a', 'minimal', 'bcs', 'hamiltonian', 'and', 'decompose', 'it', 'into', 'spinorbit', 'coupled', 'irreducible', 'pairing', 'channels', 'we', 'then', 'solve', 'the', 'resulting', 'gap', 'equations', 'in', 'channels', 'with', 'zero', 'total', 'angular', 'momentum', 'we', 'find', 'that', 'in', 'the', 'spin', 'singlet', 'channel', 'and', 'also', 'in', 'an', 'unusual', 'spin', 'quintet', 'channel', 'superconductivity', 'is', 'enormously', 'enhanced', 'with', 'a', 'possibility', 'for', 'the', 'critical', 'temperature', 'to', 'be', 'textitlinear', 'in', 'interaction', 'strength', 'meanwhile', 'in', 'the', 'spin', 'triplet', 'channel', 'the', 'superconductivity', 'exhibits', 'features', 'of', 'conventional', 'bcs', 'theory', 'due', 'to', 'the', 'absence', 'of', 'flat', 'band', 'pairing', 'three', 'band', 'crossings', 'thus', 'represent', 'an', 'exciting', 'new', 'platform', 'for', 'realizing', 'exotic', 'superconducting', 'states', 'with', 'enhanced', 'energy', 'scales', 'we', 'also', 'discuss', 'the', 'effects', 'of', 'doping', 'nonzero', 'temperature', 'and', 'of', 'retaining', 'additional', 'terms', 'in', 'the', 'mathbfk', 'cdot', 'mathbfp', 'expansion', 'of', 'the', 'hamiltonian']] | [-0.23224005409406487, 0.21183133035010993, -0.041570117260381484, 0.06622827317716079, -0.06054589997323357, -0.1871819592699964, 0.05419408214807811, 0.3609686384652886, -0.28425676875707245, -0.2847731630216636, -0.022022241636856187, -0.2797987291774487, -0.09718033866031292, 0.12439720415053253, 0.038590317577563274, -0.022043777968132904, -0.009559551820806835, -0.003902581942655285, -0.1607918501245899, -0.21034893064227486, 0.34261473550848803, -0.0023496169980141038, 0.2803718488495681, 0.09535206448408248, 0.06423310756174304, 0.03418084125899311, 0.1095654699627472, -0.03149791935951195, -0.1305101418881536, 0.04971688205805775, 0.2839109394858412, -0.0712110809981823, 0.17935910035699884, -0.42474815604039784, -0.21453903636299304, 0.0715229414860423, 0.1571385276370815, 0.15768514428380298, -0.022435974069402453, -0.28300264463268265, 0.033562433188607604, -0.20738170947156476, -0.15678800007593038, -0.09134759600216419, -0.023116428815753935, -0.0923794227730344, -0.24022642590947194, 0.09029121780500499, 0.0570597110709511, 0.049717398163694776, -0.09317581057374985, -0.1348539625724014, -0.08145085591475786, 0.038376462631367195, 0.06364904704318608, 0.035729903656908354, 0.07195238940278936, -0.16035731697820382, -0.10385913219626831, 0.3433021429220434, -0.08234206562708508, -0.15878993978359454, 0.15334843941176055, -0.12520776330117392, -0.07557039359665435, 0.15846524013912086, 0.1202680835448298, 0.0398921597335395, -0.10428331155758004, 0.14866883615454837, -0.014490113154007412, 0.14718927126898437, 0.010704219105555126, 0.1511964418503068, 0.23985777028564434, 0.1602716032684613, 0.09178614173581974, 0.13134196545185395, -0.11095044975565249, -0.0888412415747016, -0.27213016670683154, -0.19778586418790198, -0.1875501338808988, 0.06984322262575028, -0.0586455998857656, -0.1339976236322513, 0.4362631926099012, 0.14079697223297777, 0.18054238859540928, -0.025685838128654114, 0.22811903095347172, 0.14409949692394236, 0.08620942646806759, 0.08849525010872701, 0.22145146310838484, 0.17994691806943705, 0.047810170041709586, -0.30437060854591497, -0.050698996494055626, 0.00012502857767369437] |
1,802.00014 | The MASSIVE Survey - X. Misalignment between Kinematic and Photometric
Axes and Intrinsic Shapes of Massive Early-Type Galaxies | We use spatially resolved two-dimensional stellar velocity maps over a
$107"\times 107"$ field of view to investigate the kinematic features of 90
early-type galaxies above stellar mass $10^{11.5}M_\odot$ in the MASSIVE
survey. We measure the misalignment angle $\Psi$ between the kinematic and
photometric axes and identify local features such as velocity twists and
kinematically distinct components. We find 46% of the sample to be well aligned
($\Psi < 15^{\circ}$), 33% misaligned, and 21% without detectable rotation
(non-rotators). Only 24% of the sample are fast rotators, the majority of which
(91%) are aligned, whereas 57% of the slow rotators are misaligned with a
nearly flat distribution of $\Psi$ from $15^{\circ}$ to $90^{\circ}$. 11
galaxies have $\Psi \gtrsim 60^{\circ}$ and thus exhibit minor-axis ("prolate")
rotation in which the rotation is preferentially around the photometric major
axis. Kinematic misalignments occur more frequently for lower galaxy spin or
denser galaxy environments. Using the observed misalignment and ellipticity
distributions, we infer the intrinsic shape distribution of our sample and find
that MASSIVE slow rotators are consistent with being mildly triaxial, with mean
axis ratios of $b/a=0.88$ and $c/a=0.65$. In terms of local kinematic features,
51% of the sample exhibit kinematic twists of larger than $20^{\circ}$, and 2
galaxies have kinematically distinct components. The frequency of misalignment
and the broad distribution of $\Psi$ reported here suggest that the most
massive early-type galaxies are mildly triaxial, and that formation processes
resulting in kinematically misaligned slow rotators such as gas-poor mergers
occur frequently in this mass range.
| astro-ph.GA astro-ph.CO | we use spatially resolved twodimensional stellar velocity maps over a 107times 107 field of view to investigate the kinematic features of 90 earlytype galaxies above stellar mass 10115m_odot in the massive survey we measure the misalignment angle psi between the kinematic and photometric axes and identify local features such as velocity twists and kinematically distinct components we find 46 of the sample to be well aligned psi 15circ 33 misaligned and 21 without detectable rotation nonrotators only 24 of the sample are fast rotators the majority of which 91 are aligned whereas 57 of the slow rotators are misaligned with a nearly flat distribution of psi from 15circ to 90circ 11 galaxies have psi gtrsim 60circ and thus exhibit minoraxis prolate rotation in which the rotation is preferentially around the photometric major axis kinematic misalignments occur more frequently for lower galaxy spin or denser galaxy environments using the observed misalignment and ellipticity distributions we infer the intrinsic shape distribution of our sample and find that massive slow rotators are consistent with being mildly triaxial with mean axis ratios of ba088 and ca065 in terms of local kinematic features 51 of the sample exhibit kinematic twists of larger than 20circ and 2 galaxies have kinematically distinct components the frequency of misalignment and the broad distribution of psi reported here suggest that the most massive earlytype galaxies are mildly triaxial and that formation processes resulting in kinematically misaligned slow rotators such as gaspoor mergers occur frequently in this mass range | [['we', 'use', 'spatially', 'resolved', 'twodimensional', 'stellar', 'velocity', 'maps', 'over', 'a', '107times', '107', 'field', 'of', 'view', 'to', 'investigate', 'the', 'kinematic', 'features', 'of', '90', 'earlytype', 'galaxies', 'above', 'stellar', 'mass', '10115m_odot', 'in', 'the', 'massive', 'survey', 'we', 'measure', 'the', 'misalignment', 'angle', 'psi', 'between', 'the', 'kinematic', 'and', 'photometric', 'axes', 'and', 'identify', 'local', 'features', 'such', 'as', 'velocity', 'twists', 'and', 'kinematically', 'distinct', 'components', 'we', 'find', '46', 'of', 'the', 'sample', 'to', 'be', 'well', 'aligned', 'psi', '15circ', '33', 'misaligned', 'and', '21', 'without', 'detectable', 'rotation', 'nonrotators', 'only', '24', 'of', 'the', 'sample', 'are', 'fast', 'rotators', 'the', 'majority', 'of', 'which', '91', 'are', 'aligned', 'whereas', '57', 'of', 'the', 'slow', 'rotators', 'are', 'misaligned', 'with', 'a', 'nearly', 'flat', 'distribution', 'of', 'psi', 'from', '15circ', 'to', '90circ', '11', 'galaxies', 'have', 'psi', 'gtrsim', '60circ', 'and', 'thus', 'exhibit', 'minoraxis', 'prolate', 'rotation', 'in', 'which', 'the', 'rotation', 'is', 'preferentially', 'around', 'the', 'photometric', 'major', 'axis', 'kinematic', 'misalignments', 'occur', 'more', 'frequently', 'for', 'lower', 'galaxy', 'spin', 'or', 'denser', 'galaxy', 'environments', 'using', 'the', 'observed', 'misalignment', 'and', 'ellipticity', 'distributions', 'we', 'infer', 'the', 'intrinsic', 'shape', 'distribution', 'of', 'our', 'sample', 'and', 'find', 'that', 'massive', 'slow', 'rotators', 'are', 'consistent', 'with', 'being', 'mildly', 'triaxial', 'with', 'mean', 'axis', 'ratios', 'of', 'ba088', 'and', 'ca065', 'in', 'terms', 'of', 'local', 'kinematic', 'features', '51', 'of', 'the', 'sample', 'exhibit', 'kinematic', 'twists', 'of', 'larger', 'than', '20circ', 'and', '2', 'galaxies', 'have', 'kinematically', 'distinct', 'components', 'the', 'frequency', 'of', 'misalignment', 'and', 'the', 'broad', 'distribution', 'of', 'psi', 'reported', 'here', 'suggest', 'that', 'the', 'most', 'massive', 'earlytype', 'galaxies', 'are', 'mildly', 'triaxial', 'and', 'that', 'formation', 'processes', 'resulting', 'in', 'kinematically', 'misaligned', 'slow', 'rotators', 'such', 'as', 'gaspoor', 'mergers', 'occur', 'frequently', 'in', 'this', 'mass', 'range']] | [-0.12778087434447863, 0.17303972488659153, -0.03331462694407721, 0.07108058167689639, -0.09062733686324663, -0.07184835593216121, -0.03713789074568123, 0.4387479618805029, -0.18303215458120287, -0.37632151205628367, 0.03810811132463301, -0.2530537890762515, -0.018573217147893114, 0.1911064936740161, -0.005849024552304858, -0.01914665664544299, 0.03653720191304148, -0.10394728931833089, -0.09005772962700576, -0.215758398119753, 0.28148054645957077, -0.007225781955817294, 0.17462349635912333, -0.12631435524454582, 0.06757993191599891, -0.06846674562340065, -0.05472571644160662, -0.01600673314888121, -0.12961029875746097, 0.00935327545247548, 0.20389540072878806, 0.08794972105486493, 0.1753385541657728, -0.3236864950024945, -0.09935896077791487, 0.07685644306692983, 0.23856268592303756, 0.049459901546995054, -0.06944744597309566, -0.2652002147482178, 0.09051351023272884, -0.16259698754524796, -0.20527593759304988, 0.02843489862100138, 0.08261306675546613, 0.044750388560256336, -0.22241924641033015, 0.21663826294300123, 0.06889620402352734, 0.14146020497305212, -0.07931136609929637, -0.12324448148303521, -0.12002615513643478, 0.04173189215740659, 0.06757817466126194, 0.10592209621582453, 0.22643581824282533, -0.11517353106396107, -0.007089926012246529, 0.41031877514792653, -0.025714097971702845, -0.10496882679947932, 0.2355806373071107, -0.26365701833643335, -0.15216046985526516, 0.15488313670067602, 0.21159872670782867, 0.12252016942115213, -0.12303991773216871, -0.031191926800439557, -0.03516459354479623, 0.18415860808992757, 0.06202936506966447, 0.05896051922160943, 0.324283732413655, 0.04352644662660494, 0.04986539659580373, 0.05504610257888614, -0.24690253936450898, -0.06871190673493727, -0.2133840941824019, -0.08117096647535019, -0.07969690043085474, 0.07037521795203107, -0.15591027268438792, -0.11432766877266208, 0.3470748929870959, 0.08926654389447285, 0.29821820363186574, 0.07799434298990159, 0.28768154321526124, 0.03876988506238014, 0.14451273239162804, 0.13405551099146495, 0.34259576630225874, 0.1871835291149034, 0.027005017513117745, -0.2108173829137075, 0.061531156191708354, -0.10946793729870967] |
1,802.00015 | Non-planar one-loop Parke-Taylor factors in the CHY approach for
quadratic propagators | In this work we have studied the Kleiss-Kuijf relations for the recently
introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce
quadratic Feynman propagators. By doing this, we were able to identify the
non-planar one-loop Parke-Taylor factors. In order to check that, in fact,
these new factors can describe non-planar amplitudes, we applied them to the
bi-adjoint $\Phi^3$ theory. As a byproduct, we found a new type of graphs that
we called the non-planar CHY-graphs. These graphs encode all the information
for the subleading order at one-loop, and there is not an equivalent of these
in the Feynman formalism.
| hep-th | in this work we have studied the kleisskuijf relations for the recently introduced parketaylor factors at oneloop in the chy approach that reproduce quadratic feynman propagators by doing this we were able to identify the nonplanar oneloop parketaylor factors in order to check that in fact these new factors can describe nonplanar amplitudes we applied them to the biadjoint phi3 theory as a byproduct we found a new type of graphs that we called the nonplanar chygraphs these graphs encode all the information for the subleading order at oneloop and there is not an equivalent of these in the feynman formalism | [['in', 'this', 'work', 'we', 'have', 'studied', 'the', 'kleisskuijf', 'relations', 'for', 'the', 'recently', 'introduced', 'parketaylor', 'factors', 'at', 'oneloop', 'in', 'the', 'chy', 'approach', 'that', 'reproduce', 'quadratic', 'feynman', 'propagators', 'by', 'doing', 'this', 'we', 'were', 'able', 'to', 'identify', 'the', 'nonplanar', 'oneloop', 'parketaylor', 'factors', 'in', 'order', 'to', 'check', 'that', 'in', 'fact', 'these', 'new', 'factors', 'can', 'describe', 'nonplanar', 'amplitudes', 'we', 'applied', 'them', 'to', 'the', 'biadjoint', 'phi3', 'theory', 'as', 'a', 'byproduct', 'we', 'found', 'a', 'new', 'type', 'of', 'graphs', 'that', 'we', 'called', 'the', 'nonplanar', 'chygraphs', 'these', 'graphs', 'encode', 'all', 'the', 'information', 'for', 'the', 'subleading', 'order', 'at', 'oneloop', 'and', 'there', 'is', 'not', 'an', 'equivalent', 'of', 'these', 'in', 'the', 'feynman', 'formalism']] | [-0.10056282218080013, 0.14774146363735782, -0.09199658231809735, 0.17298079559463075, -0.09330349694006145, -0.06040199967217632, 0.023885054796701298, 0.36334368577226994, -0.20775346317794174, -0.27473521324340255, -0.0010697568871546536, -0.27579589854925873, -0.2567201636589743, 0.14121669312939047, -0.041335586775094274, 0.05666056234389544, -0.0077627888519782575, 0.0593980969581753, -0.049245019282680005, -0.28697450084029696, 0.35025503382552414, -0.026010575408581645, 0.1982155326195061, 0.11254340668208897, 0.07864678121637553, 0.018871944495476783, -0.04876219580648467, 0.04312446297495626, -0.17505954798187304, 0.10527382856467739, 0.281471787430346, 0.0746321317087859, 0.1428073764592409, -0.4204617306031287, -0.13855401893146335, 0.07369977093301713, 0.1688213273161091, 0.15758149167057126, 0.02581744633615017, -0.2138790785567835, 0.09283548443228938, -0.1908807706274092, -0.16373964944388716, -0.18581379435956477, 0.0036158749833703043, -0.11094508485868573, -0.23292581458110362, -0.006090823011472821, 0.01779561994597316, -0.02407964661368169, 0.04549898433499038, -0.1281489986786619, -0.010107770280446857, 0.18076467561884782, 0.03796160480706021, 0.04237708128872328, 0.005497956353938207, -0.1765537075465545, -0.1787649937835522, 0.3538315246044658, -0.04866264142561704, -0.18937098138034344, 0.11803563008084893, -0.17257870589382945, -0.24976330011151732, 0.11942928571254015, 0.13846996635198594, 0.12263861016996089, -0.2329053437244147, 0.13507900861965028, -0.027047960618510843, 0.09283971636090428, 0.16926286924397574, -0.0021417503478005527, 0.1256701564695686, 0.03851021034643054, -0.0435858979425393, 0.16265268750023096, -0.009517910734575707, -0.07013661340344697, -0.39935268988832834, -0.11587873561282322, -0.08679171465686522, 0.033531542398413876, -0.12191661392789684, -0.20094924682285636, 0.38749291862361135, 0.18167606794741004, 0.15329909995663912, 0.10035282234661282, 0.25234477654099463, 0.17333643214660696, 0.19750337049830705, 0.09578231784049422, 0.27449359473772345, 0.1586613125842996, 0.054038181295618416, -0.20704825383145362, -0.021909492751583458, 0.1549675701279193] |
1,802.00016 | Commensurability Oscillations in One-Dimensional Graphene Superlattices | We report the experimental observation of commensurability oscillations (COs)
in 1D graphene superlattices. The widely tunable periodic potential modulation
in hBN encapsulated graphene is generated via the interplay of nanopatterned
few layer graphene acting as a local bottom gate and a global Si back gate. The
longitudinal magneto-resistance shows pronounced COs, when the sample is tuned
into the unipolar transport regime. We observe up to six CO minima, providing
evidence for a long mean free path despite the potential modulation. Comparison
to existing theories shows that small angle scattering is dominant in
hBN/graphene/hBN heterostructures. We observe robust COs persisting to
temperature exceeding $T=150$ K. At high temperatures, we find deviations from
the predicted $T$-dependence, which we ascribe to electron-electron scattering.
| cond-mat.mes-hall | we report the experimental observation of commensurability oscillations cos in 1d graphene superlattices the widely tunable periodic potential modulation in hbn encapsulated graphene is generated via the interplay of nanopatterned few layer graphene acting as a local bottom gate and a global si back gate the longitudinal magnetoresistance shows pronounced cos when the sample is tuned into the unipolar transport regime we observe up to six co minima providing evidence for a long mean free path despite the potential modulation comparison to existing theories shows that small angle scattering is dominant in hbngraphenehbn heterostructures we observe robust cos persisting to temperature exceeding t150 k at high temperatures we find deviations from the predicted tdependence which we ascribe to electronelectron scattering | [['we', 'report', 'the', 'experimental', 'observation', 'of', 'commensurability', 'oscillations', 'cos', 'in', '1d', 'graphene', 'superlattices', 'the', 'widely', 'tunable', 'periodic', 'potential', 'modulation', 'in', 'hbn', 'encapsulated', 'graphene', 'is', 'generated', 'via', 'the', 'interplay', 'of', 'nanopatterned', 'few', 'layer', 'graphene', 'acting', 'as', 'a', 'local', 'bottom', 'gate', 'and', 'a', 'global', 'si', 'back', 'gate', 'the', 'longitudinal', 'magnetoresistance', 'shows', 'pronounced', 'cos', 'when', 'the', 'sample', 'is', 'tuned', 'into', 'the', 'unipolar', 'transport', 'regime', 'we', 'observe', 'up', 'to', 'six', 'co', 'minima', 'providing', 'evidence', 'for', 'a', 'long', 'mean', 'free', 'path', 'despite', 'the', 'potential', 'modulation', 'comparison', 'to', 'existing', 'theories', 'shows', 'that', 'small', 'angle', 'scattering', 'is', 'dominant', 'in', 'hbngraphenehbn', 'heterostructures', 'we', 'observe', 'robust', 'cos', 'persisting', 'to', 'temperature', 'exceeding', 't150', 'k', 'at', 'high', 'temperatures', 'we', 'find', 'deviations', 'from', 'the', 'predicted', 'tdependence', 'which', 'we', 'ascribe', 'to', 'electronelectron', 'scattering']] | [-0.20826169605910158, 0.18319178485156348, -0.03319280528424618, 0.031963537667373504, -0.017618266120553016, -0.19315714917999383, 0.09225506327153804, 0.4353867802148064, -0.29845631203303735, -0.29752341847245894, -0.03702066853196205, -0.3274520493888607, -0.13851417898937748, 0.22736760112456977, 0.044424635955753425, 0.00878923645747515, 0.010329717521866162, -0.10455964674911229, -0.0801038951826437, -0.1930701922237252, 0.22425948035573431, 0.029435281221716045, 0.30788820300561687, 0.1201726244908059, 0.05335891389210398, -0.009247170768503565, 0.07951502936193719, 0.017430323255151356, -0.1511098383280114, 0.020711955439765006, 0.20370923936522256, -0.13532120580105886, 0.1969392079859972, -0.4488139120781246, -0.1953204332307602, 0.0066885564515056705, 0.158499149584289, 0.15188832604277802, -0.07348523606391003, -0.24315011783037335, 0.05575353562696061, -0.10436131298968879, -0.11914833088715872, -0.062502743016618, 0.031069929056684487, -0.04619122872439523, -0.26646477412141395, 0.09451364354414787, 0.01711830678395927, 0.10854323438834398, -0.08509126527739379, -0.13544038406883677, -0.056259845464956014, 0.048107194278903385, 0.052567342080874366, 0.0461234916789787, 0.18741493066384768, -0.08121224976785016, -0.07392855401073271, 0.31696048193455983, -0.13646008054492995, -0.039127395109971985, 0.17426470924013604, -0.23632639455609022, -0.01633758630050579, 0.17297344553129126, 0.12613046564317, 0.06357404742836176, -0.12754855508161805, 0.08408874668287657, -0.00738056959429135, 0.19602702940270925, 0.1163652829224399, 0.08082043589480842, 0.2586699255643301, 0.19691060346667655, 0.06446173686999827, 0.1197257854626514, -0.18596346219370996, -0.02675216823166314, -0.22716116208272677, -0.11475452526744144, -0.15927322655334136, 0.12307169380850004, -0.05676621197477895, -0.21044835866972184, 0.4060856494121253, 0.14886604927287408, 0.21115209685328107, -0.006928549744770862, 0.2559131666086614, 0.12880477620346936, 0.12658391440442454, 0.024830604468782744, 0.2795607477678762, 0.1575345369405113, 0.11347822054910163, -0.2482164032543854, 0.052234627593619125, -0.0509780815957735] |
1,802.00017 | Superfluidity in nuclear systems and neutron stars | Nuclear matter and finite nuclei exhibit the property of superfluidity by
forming Cooper pairs. We review the microscopic theories and methods that are
being employed to understand the basic properties of superfluid nuclear
systems, with emphasis on the spatially extended matter encountered in neutron
stars, supernova envelopes, and nuclear collisions. Our survey of quantum
many-body methods includes techniques that employ Green functions, correlated
basis functions, and Monte Carlo sampling of quantum states. With respect to
empirical realizations of nucleonic and hadronic superfluids, this review is
focused on progress that has been made toward quantitative understanding of
their properties at the level of microscopic theories of pairing, with emphasis
on the condensates that exist under conditions prevailing in neutron-star
interiors. These include singlet $S$-wave pairing of neutrons in the inner
crust, and, in the quantum fluid interior, singlet-$S$ proton pairing and
triplet coupled $P$-$F$-wave neutron pairing. Additionally, calculations of
weak-interaction rates in neutron-star superfluids within the Green function
formalism are examined in detail. We close with a discussion of quantum vortex
states in nuclear systems and their dynamics in neutron-star superfluid
interiors.
| nucl-th astro-ph.HE cond-mat.quant-gas | nuclear matter and finite nuclei exhibit the property of superfluidity by forming cooper pairs we review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems with emphasis on the spatially extended matter encountered in neutron stars supernova envelopes and nuclear collisions our survey of quantum manybody methods includes techniques that employ green functions correlated basis functions and monte carlo sampling of quantum states with respect to empirical realizations of nucleonic and hadronic superfluids this review is focused on progress that has been made toward quantitative understanding of their properties at the level of microscopic theories of pairing with emphasis on the condensates that exist under conditions prevailing in neutronstar interiors these include singlet swave pairing of neutrons in the inner crust and in the quantum fluid interior singlets proton pairing and triplet coupled pfwave neutron pairing additionally calculations of weakinteraction rates in neutronstar superfluids within the green function formalism are examined in detail we close with a discussion of quantum vortex states in nuclear systems and their dynamics in neutronstar superfluid interiors | [['nuclear', 'matter', 'and', 'finite', 'nuclei', 'exhibit', 'the', 'property', 'of', 'superfluidity', 'by', 'forming', 'cooper', 'pairs', 'we', 'review', 'the', 'microscopic', 'theories', 'and', 'methods', 'that', 'are', 'being', 'employed', 'to', 'understand', 'the', 'basic', 'properties', 'of', 'superfluid', 'nuclear', 'systems', 'with', 'emphasis', 'on', 'the', 'spatially', 'extended', 'matter', 'encountered', 'in', 'neutron', 'stars', 'supernova', 'envelopes', 'and', 'nuclear', 'collisions', 'our', 'survey', 'of', 'quantum', 'manybody', 'methods', 'includes', 'techniques', 'that', 'employ', 'green', 'functions', 'correlated', 'basis', 'functions', 'and', 'monte', 'carlo', 'sampling', 'of', 'quantum', 'states', 'with', 'respect', 'to', 'empirical', 'realizations', 'of', 'nucleonic', 'and', 'hadronic', 'superfluids', 'this', 'review', 'is', 'focused', 'on', 'progress', 'that', 'has', 'been', 'made', 'toward', 'quantitative', 'understanding', 'of', 'their', 'properties', 'at', 'the', 'level', 'of', 'microscopic', 'theories', 'of', 'pairing', 'with', 'emphasis', 'on', 'the', 'condensates', 'that', 'exist', 'under', 'conditions', 'prevailing', 'in', 'neutronstar', 'interiors', 'these', 'include', 'singlet', 'swave', 'pairing', 'of', 'neutrons', 'in', 'the', 'inner', 'crust', 'and', 'in', 'the', 'quantum', 'fluid', 'interior', 'singlets', 'proton', 'pairing', 'and', 'triplet', 'coupled', 'pfwave', 'neutron', 'pairing', 'additionally', 'calculations', 'of', 'weakinteraction', 'rates', 'in', 'neutronstar', 'superfluids', 'within', 'the', 'green', 'function', 'formalism', 'are', 'examined', 'in', 'detail', 'we', 'close', 'with', 'a', 'discussion', 'of', 'quantum', 'vortex', 'states', 'in', 'nuclear', 'systems', 'and', 'their', 'dynamics', 'in', 'neutronstar', 'superfluid', 'interiors']] | [-0.09718498065291593, 0.23294385869004247, -0.12101442184713151, 0.1425438383749376, -0.02581177929468039, -0.09113275078481012, 0.03304727582338576, 0.3633839472817878, -0.16389843804710028, -0.23528021755272574, -0.0024106983742159275, -0.2911455673631281, -0.04471781499062975, 0.1667821309904361, 0.04112580401900535, 0.06151798474085, 0.033398661150648774, 0.006992609766570644, -0.14800168783274584, -0.23099841318843473, 0.39232267750582345, 0.020236277298277452, 0.2511596149894305, 0.07328093115874153, 0.017343161484071366, -0.009305011144735746, -0.007532425432064984, -0.036484899673895496, -0.17524593591046544, 0.08629260639637425, 0.3026225751845535, 0.05757905660041918, 0.18383394902468556, -0.5257804484520522, -0.24891558817148002, 0.07465564504576226, 0.13226353933407356, 0.1362656075421708, -0.0620845742982864, -0.28935424839534485, 0.01517123687081039, -0.25169102341298843, -0.16742322261367615, -0.12269081613825013, 0.0016700018274908265, 0.0803006564784381, -0.168007286834634, 0.08081701352946563, 0.050962025643740264, 0.0682908763911352, -0.08996448473513333, -0.17100495578100283, 0.006673312938720402, 0.03251029076313393, 0.04762726753963054, 0.02480518185976608, 0.15510689112771717, -0.20804190925102578, -0.09605156741842318, 0.38385745137412514, -0.004024492188667257, -0.1250395063427277, 0.2180071091408738, -0.16316398550730404, -0.13602792128868815, 0.11591691666140427, 0.14121139285982484, 0.12411402398720384, -0.14693396509521536, 0.07179159610790925, -0.027814506558287475, 0.14230880271061325, 0.011643343187299454, 0.1293259134249739, 0.3116813312181168, 0.2049054360224141, -0.012377448711130353, 0.08603547210364518, -0.09814063692077374, -0.18648801096456333, -0.2870999580763358, -0.09287485020518539, -0.1554852803858618, 0.020150404362680598, 0.0019232611359459246, -0.14069792939246528, 0.34368457072867187, 0.10360184624377224, 0.12966770445394407, -0.07291289813971767, 0.24812471570912747, 0.04584905121462523, 0.0437151067243475, 0.054686089200226384, 0.2704860736622423, 0.27721304286323073, 0.06096264461003658, -0.34103290076374027, 0.030027199471886788, 0.0666193163720891] |
1,802.00018 | Holographic studies of Einsteinian cubic gravity | Einsteinian cubic gravity provides a holographic toy model of a
nonsupersymmetric CFT in three dimensions, analogous to the one defined by
Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$
black holes and allows for numerous exact calculations, fully nonperturbative
in the new coupling. We identify several entries of the AdS/CFT dictionary for
this theory, and study its thermodynamic phase space, finding interesting new
phenomena. We also analyze the dependence of R\'enyi entropies for disk regions
on universal quantities characterizing the CFT. In addition, we show that
$\eta/s$ is given by a non-analytic function of the ECG coupling, and that the
existence of positive-energy black holes strictly forbids violations of the KSS
bound. Along the way, we introduce a new method for evaluating Euclidean
on-shell actions for general higher-order gravities possessing second-order
linearized equations on AdS$_{(d+1)}$. Our generalized action involves the very
same Gibbons-Hawking boundary term and counterterms valid for Einstein gravity,
which now appear weighted by the universal charge $a^*$ controlling the
entanglement entropy across a spherical region in the CFT dual to the
corresponding higher-order theory.
| hep-th gr-qc | einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric cft in three dimensions analogous to the one defined by quasitopological gravity in four the theory admits explicit nonhairy ads_4 black holes and allows for numerous exact calculations fully nonperturbative in the new coupling we identify several entries of the adscft dictionary for this theory and study its thermodynamic phase space finding interesting new phenomena we also analyze the dependence of renyi entropies for disk regions on universal quantities characterizing the cft in addition we show that etas is given by a nonanalytic function of the ecg coupling and that the existence of positiveenergy black holes strictly forbids violations of the kss bound along the way we introduce a new method for evaluating euclidean onshell actions for general higherorder gravities possessing secondorder linearized equations on ads_d1 our generalized action involves the very same gibbonshawking boundary term and counterterms valid for einstein gravity which now appear weighted by the universal charge a controlling the entanglement entropy across a spherical region in the cft dual to the corresponding higherorder theory | [['einsteinian', 'cubic', 'gravity', 'provides', 'a', 'holographic', 'toy', 'model', 'of', 'a', 'nonsupersymmetric', 'cft', 'in', 'three', 'dimensions', 'analogous', 'to', 'the', 'one', 'defined', 'by', 'quasitopological', 'gravity', 'in', 'four', 'the', 'theory', 'admits', 'explicit', 'nonhairy', 'ads_4', 'black', 'holes', 'and', 'allows', 'for', 'numerous', 'exact', 'calculations', 'fully', 'nonperturbative', 'in', 'the', 'new', 'coupling', 'we', 'identify', 'several', 'entries', 'of', 'the', 'adscft', 'dictionary', 'for', 'this', 'theory', 'and', 'study', 'its', 'thermodynamic', 'phase', 'space', 'finding', 'interesting', 'new', 'phenomena', 'we', 'also', 'analyze', 'the', 'dependence', 'of', 'renyi', 'entropies', 'for', 'disk', 'regions', 'on', 'universal', 'quantities', 'characterizing', 'the', 'cft', 'in', 'addition', 'we', 'show', 'that', 'etas', 'is', 'given', 'by', 'a', 'nonanalytic', 'function', 'of', 'the', 'ecg', 'coupling', 'and', 'that', 'the', 'existence', 'of', 'positiveenergy', 'black', 'holes', 'strictly', 'forbids', 'violations', 'of', 'the', 'kss', 'bound', 'along', 'the', 'way', 'we', 'introduce', 'a', 'new', 'method', 'for', 'evaluating', 'euclidean', 'onshell', 'actions', 'for', 'general', 'higherorder', 'gravities', 'possessing', 'secondorder', 'linearized', 'equations', 'on', 'ads_d1', 'our', 'generalized', 'action', 'involves', 'the', 'very', 'same', 'gibbonshawking', 'boundary', 'term', 'and', 'counterterms', 'valid', 'for', 'einstein', 'gravity', 'which', 'now', 'appear', 'weighted', 'by', 'the', 'universal', 'charge', 'a', 'controlling', 'the', 'entanglement', 'entropy', 'across', 'a', 'spherical', 'region', 'in', 'the', 'cft', 'dual', 'to', 'the', 'corresponding', 'higherorder', 'theory']] | [-0.15825133247940942, 0.13888091527838675, -0.1092684688150633, 0.13574223076747782, -0.08363227365153462, -0.1729862163410465, 0.008294751041038119, 0.2505603041291736, -0.17438987618072904, -0.2320837625068243, 0.047375223739202756, -0.3025768978155235, -0.1640462181699988, 0.1627063467310398, -0.05337220425809397, 0.0839200262705452, -0.03929959844235934, 0.06770407231186397, -0.14104199035004739, -0.2324438259908253, 0.3598253279898378, 0.00818141689328945, 0.2505239753023976, 0.07474723447884261, 0.104911331076945, 0.0001908768932257035, 0.01960200265924025, 0.050664554399343247, -0.18994533451439555, 0.13239765297569459, 0.24683124437543183, 0.08863616460549266, 0.18739789898647777, -0.4005645031432033, -0.2531074692219413, 0.05700278807140096, 0.12309513977265724, 0.16398216179226052, -0.04582493705024641, -0.26455899014777645, 0.026873088805993508, -0.19073587007737358, -0.15898949378781416, -0.129502860627621, 0.01956593803541121, -0.12044601864181459, -0.2430348807592049, 0.12328336198860389, 0.026580610605510858, -0.00048372668365189575, -0.09037183280435895, -0.041003734158877515, -0.04275416722781332, 0.09665395815820334, 0.09073221401308856, 0.04053624263735665, 0.10476805706503255, -0.14658061787356003, -0.10106492299565722, 0.3338739356239373, -0.08636431044786089, -0.23035627902243494, 0.16101473196040236, -0.16587394147372528, -0.15893803793916156, 0.06948341641122444, 0.10838953424739396, 0.2102743997212562, -0.15671084262300594, 0.17769393856980573, -0.030883651611124628, 0.11707543191765357, 0.11077113156649154, 0.08803337880484395, 0.28001343074655316, 0.05821405822611492, 0.04474769980651873, 0.20430612633936107, -0.0007848920425472979, -0.14591339893389346, -0.41259212571315923, -0.16276246331230212, -0.15413339204914536, 0.06033596778340513, -0.21581644864002367, -0.21185358696976186, 0.3757553906023877, 0.11761417739384668, 0.14876548501834605, 0.09205300765623879, 0.2177068223423073, 0.10208911471674999, 0.06592882679145803, 0.07906092050245979, 0.27266622733392404, 0.1478261664853166, 0.083006577369551, -0.27416500351430756, -0.0591635725167632, 0.21480040443415999] |
1,802.00019 | Magnetothermodynamics: Measurements of the thermodynamic properties in a
relaxed magnetohydrodynamic plasma | We have explored the thermodynamics of compressed magnetized plasmas in
laboratory experiments and we call these studies "magnetothermodynamics". The
experiments are carried out in the Swarthmore Spheromak eXperiment device. In
this device, a magnetized plasma source is located at one end and at the other
end, a closed conducting can is installed. We generate parcels of magnetized
plasma and observe their compression against the end wall of the conducting
cylinder. The plasma parameters such as plasma density, temperature, and
magnetic field are measured during compression using HeNe laser interferometry,
ion Doppler spectroscopy and a linear $\dot{B}$ probe array, respectively. To
identify the instances of ion heating during compression, a PV diagram is
constructed using measured density, temperature, and a proxy for the volume of
the magnetized plasma. Different equations of state are analyzed to evaluate
the adiabatic nature of the compressed plasma. A 3D resistive
magnetohydrodynamic code (NIMROD) is employed to simulate the twisted Taylor
states and show stagnation against the end wall of the closed conducting can.
The simulation results are consistent to what we observe in our experiments.
| physics.plasm-ph | we have explored the thermodynamics of compressed magnetized plasmas in laboratory experiments and we call these studies magnetothermodynamics the experiments are carried out in the swarthmore spheromak experiment device in this device a magnetized plasma source is located at one end and at the other end a closed conducting can is installed we generate parcels of magnetized plasma and observe their compression against the end wall of the conducting cylinder the plasma parameters such as plasma density temperature and magnetic field are measured during compression using hene laser interferometry ion doppler spectroscopy and a linear dotb probe array respectively to identify the instances of ion heating during compression a pv diagram is constructed using measured density temperature and a proxy for the volume of the magnetized plasma different equations of state are analyzed to evaluate the adiabatic nature of the compressed plasma a 3d resistive magnetohydrodynamic code nimrod is employed to simulate the twisted taylor states and show stagnation against the end wall of the closed conducting can the simulation results are consistent to what we observe in our experiments | [['we', 'have', 'explored', 'the', 'thermodynamics', 'of', 'compressed', 'magnetized', 'plasmas', 'in', 'laboratory', 'experiments', 'and', 'we', 'call', 'these', 'studies', 'magnetothermodynamics', 'the', 'experiments', 'are', 'carried', 'out', 'in', 'the', 'swarthmore', 'spheromak', 'experiment', 'device', 'in', 'this', 'device', 'a', 'magnetized', 'plasma', 'source', 'is', 'located', 'at', 'one', 'end', 'and', 'at', 'the', 'other', 'end', 'a', 'closed', 'conducting', 'can', 'is', 'installed', 'we', 'generate', 'parcels', 'of', 'magnetized', 'plasma', 'and', 'observe', 'their', 'compression', 'against', 'the', 'end', 'wall', 'of', 'the', 'conducting', 'cylinder', 'the', 'plasma', 'parameters', 'such', 'as', 'plasma', 'density', 'temperature', 'and', 'magnetic', 'field', 'are', 'measured', 'during', 'compression', 'using', 'hene', 'laser', 'interferometry', 'ion', 'doppler', 'spectroscopy', 'and', 'a', 'linear', 'dotb', 'probe', 'array', 'respectively', 'to', 'identify', 'the', 'instances', 'of', 'ion', 'heating', 'during', 'compression', 'a', 'pv', 'diagram', 'is', 'constructed', 'using', 'measured', 'density', 'temperature', 'and', 'a', 'proxy', 'for', 'the', 'volume', 'of', 'the', 'magnetized', 'plasma', 'different', 'equations', 'of', 'state', 'are', 'analyzed', 'to', 'evaluate', 'the', 'adiabatic', 'nature', 'of', 'the', 'compressed', 'plasma', 'a', '3d', 'resistive', 'magnetohydrodynamic', 'code', 'nimrod', 'is', 'employed', 'to', 'simulate', 'the', 'twisted', 'taylor', 'states', 'and', 'show', 'stagnation', 'against', 'the', 'end', 'wall', 'of', 'the', 'closed', 'conducting', 'can', 'the', 'simulation', 'results', 'are', 'consistent', 'to', 'what', 'we', 'observe', 'in', 'our', 'experiments']] | [-0.1368041053211431, 0.20120519463378708, -0.07813893175389951, 0.022699267368675235, -0.006587888709238246, -0.1182440338479407, 0.004978193591905539, 0.39756874284608157, -0.23208448190408545, -0.29699411057456077, 0.09973828461510259, -0.2678923520712213, -0.012767969925924303, 0.2287471351687219, 0.014623366808778914, 0.06827405213857038, 0.05735528974321687, -0.008018071561604322, -0.05631759187060944, -0.15792088257409007, 0.2601136318746143, 0.11598426833561512, 0.3117747750632756, 0.05262961065495522, 0.06612100468313727, -0.09815672009548577, -0.038852613527254935, 0.07119040657094987, -0.12234584752918357, 0.0008923576103507765, 0.24809999662248533, 0.0534963678508768, 0.2071791990405188, -0.504108232825828, -0.23633811470412508, -0.012758574791918586, 0.12301065441671051, 0.09289363183486977, -0.07804768557748731, -0.24703215000703516, 0.05838994575240363, -0.1657460184557124, -0.13758340552085022, -0.03309906829947179, -0.026191324186147134, 0.034802321639554525, -0.29462733701152427, 0.03390903149044672, -0.013839845030500902, 0.044460706494738184, -0.07028697860848637, -0.06684625679991266, -0.027577557675176244, 0.07567208942010291, 0.012416938088922736, 0.06040513790186557, 0.23211294423799192, -0.1227599832290044, -0.04799378019180045, 0.359567029141514, -0.07171662075590737, -0.13034915681616221, 0.2139288152102381, -0.1883658666278147, -0.06682939103586007, 0.12747253150830057, 0.1873919980433983, 0.1252113971130808, -0.11964656451623366, 0.015485592208888548, -0.0713977125985808, 0.12660186331318046, 0.11321446409334517, -0.04009963361567209, 0.2590790061311349, 0.19381175450746532, -0.03981074436265954, 0.2064504046410949, -0.16750534408720597, -0.05122215093218191, -0.2757551545906791, -0.1343399300318024, -0.15080784924859025, 0.009018350392580032, -0.020271890549013242, -0.16209321584573338, 0.3796725305546512, 0.1839020415651482, 0.13591010750443075, -0.07268492298398438, 0.328643086329935, 0.07758421387117585, 0.019193596787381313, 0.11667576904913317, 0.278050554437594, 0.16254554963514584, 0.14739801840825453, -0.25919726312026514, 0.012348169475200706, 0.0347650579447395] |
1,802.0002 | Constructing effective free energies for dynamical quantum phase
transitions in the transverse-field Ising chain | The theory of dynamical quantum phase transitions represents an attempt to
extend the concept of phase transitions to the far from equilibrium regime.
While there are many formal analogies to conventional transitions, it is a
major question to which extent it is possible to formulate a nonequilibrium
counterpart to a Landau-Ginzburg theory. In this work we take a first step in
this direction by constructing an effective free energy for continuous
dynamical quantum phase transitions appearing after quantum quenches in the
transverse-field Ising chain. Due to unitarity of quantum time evolution this
effective free energy becomes a complex quantity transforming the conventional
minimization principle of the free energy into a saddle-point equation in the
complex plane of the order parameter, which as in equilibrium is the
magnetization. We study this effective free energy in the vicinity of the
dynamical quantum phase transition by performing an expansion in terms of the
complex magnetization and discuss the connections to the equilibrium case.
Furthermore, we study the influence of perturbations and signatures of these
dynamical quantum phase transitions in spin correlation functions.
| cond-mat.stat-mech quant-ph | the theory of dynamical quantum phase transitions represents an attempt to extend the concept of phase transitions to the far from equilibrium regime while there are many formal analogies to conventional transitions it is a major question to which extent it is possible to formulate a nonequilibrium counterpart to a landauginzburg theory in this work we take a first step in this direction by constructing an effective free energy for continuous dynamical quantum phase transitions appearing after quantum quenches in the transversefield ising chain due to unitarity of quantum time evolution this effective free energy becomes a complex quantity transforming the conventional minimization principle of the free energy into a saddlepoint equation in the complex plane of the order parameter which as in equilibrium is the magnetization we study this effective free energy in the vicinity of the dynamical quantum phase transition by performing an expansion in terms of the complex magnetization and discuss the connections to the equilibrium case furthermore we study the influence of perturbations and signatures of these dynamical quantum phase transitions in spin correlation functions | [['the', 'theory', 'of', 'dynamical', 'quantum', 'phase', 'transitions', 'represents', 'an', 'attempt', 'to', 'extend', 'the', 'concept', 'of', 'phase', 'transitions', 'to', 'the', 'far', 'from', 'equilibrium', 'regime', 'while', 'there', 'are', 'many', 'formal', 'analogies', 'to', 'conventional', 'transitions', 'it', 'is', 'a', 'major', 'question', 'to', 'which', 'extent', 'it', 'is', 'possible', 'to', 'formulate', 'a', 'nonequilibrium', 'counterpart', 'to', 'a', 'landauginzburg', 'theory', 'in', 'this', 'work', 'we', 'take', 'a', 'first', 'step', 'in', 'this', 'direction', 'by', 'constructing', 'an', 'effective', 'free', 'energy', 'for', 'continuous', 'dynamical', 'quantum', 'phase', 'transitions', 'appearing', 'after', 'quantum', 'quenches', 'in', 'the', 'transversefield', 'ising', 'chain', 'due', 'to', 'unitarity', 'of', 'quantum', 'time', 'evolution', 'this', 'effective', 'free', 'energy', 'becomes', 'a', 'complex', 'quantity', 'transforming', 'the', 'conventional', 'minimization', 'principle', 'of', 'the', 'free', 'energy', 'into', 'a', 'saddlepoint', 'equation', 'in', 'the', 'complex', 'plane', 'of', 'the', 'order', 'parameter', 'which', 'as', 'in', 'equilibrium', 'is', 'the', 'magnetization', 'we', 'study', 'this', 'effective', 'free', 'energy', 'in', 'the', 'vicinity', 'of', 'the', 'dynamical', 'quantum', 'phase', 'transition', 'by', 'performing', 'an', 'expansion', 'in', 'terms', 'of', 'the', 'complex', 'magnetization', 'and', 'discuss', 'the', 'connections', 'to', 'the', 'equilibrium', 'case', 'furthermore', 'we', 'study', 'the', 'influence', 'of', 'perturbations', 'and', 'signatures', 'of', 'these', 'dynamical', 'quantum', 'phase', 'transitions', 'in', 'spin', 'correlation', 'functions']] | [-0.15278010249824664, 0.19187395167418342, -0.10391655223777091, 0.07409671008750776, -0.029871600222196325, -0.08682579790403307, 0.06539806951092317, 0.32369730031565247, -0.2969906984141627, -0.26562586413207334, 0.0716254476863662, -0.25969761179099327, -0.16417754128414033, 0.12239694671299538, 0.013310893469973982, 0.06589519110242914, -0.024170183446570483, 0.03618503953772467, -0.11820301841768857, -0.17222337077980518, 0.33034157311262863, 0.03867386547229435, 0.2592451485737575, 0.0508430586709864, 0.061414135055481225, 0.023704808845325224, 0.06816381050856503, 0.01584389676241069, -0.17061845679876692, 0.05870359981505398, 0.27459754465255487, 0.0344191812623979, 0.2412814034634223, -0.4172784432082036, -0.25297003295584763, 0.13116822363262445, 0.12064688575100257, 0.16893170987562844, -0.029553362831743903, -0.2590266000518482, 0.013729568997491672, -0.15433451735711132, -0.15661754781951318, -0.09337478146989772, 0.002595022043691917, -0.04447224067931204, -0.22424318226296247, 0.0889322478247757, 0.07803693198008389, 0.05997085700841756, -0.04888916351213302, -0.018961092217840963, 0.012530112618908245, 0.13359163861263898, 0.031065601570656597, 0.061464947714683645, 0.12253603833342523, -0.1482177409811684, -0.12841213324371278, 0.39733332772244956, -0.0404311174438361, -0.15857095861360015, 0.17426883258112816, -0.12687452764942325, -0.13928121095913457, 0.132730228964281, 0.12052951068955593, 0.10942631351433736, -0.15073708823085996, 0.10992946880596415, 0.040322351707769925, 0.1463868363562701, 0.003766770746465252, 0.030364850244625322, 0.22380948458491257, 0.14040905952599295, 0.0675064197324565, 0.1897882152005364, -0.05613520425905645, -0.24346147606171428, -0.29852118429483315, -0.18539846257186968, -0.17928931955313154, 0.09421189387937665, -0.05971024025152906, -0.18241428816430896, 0.43118541209058386, 0.15561578499317005, 0.19489966244983106, 0.0001580727315252886, 0.2841445792221865, 0.17886544911869848, 0.010256174525152371, 0.01971606655675897, 0.2646965470045347, 0.15833536143461502, 0.10642191757546873, -0.26083022326506755, 0.0073460680614719845, 0.08138723569459089] |
1,802.00021 | Another Look at Statistical Calibration: A Non-Asymptotic Theory and
Prediction-Oriented Optimality | We provide another look at the statistical calibration problem in computer
models. This viewpoint is inspired by two overarching practical considerations
of computer models: (i) many computer models are inadequate for perfectly
modeling physical systems, even with the best-tuned calibration parameters;
(ii) only a finite number of data points are available from the physical
experiment associated with a computer model. Following this new line of
thinking, we provide a non-asymptotic theory and derive a prediction-oriented
calibration method. Our calibration method minimizes the predictive mean
squared error for a finite sample size with statistical guarantees. We
introduce an algorithm to perform the proposed calibration method and connect
it to existing Bayesian calibration methods. Synthetic and real examples are
provided to corroborate the derived theory and illustrate some advantages of
the proposed calibration method.
| stat.ME | we provide another look at the statistical calibration problem in computer models this viewpoint is inspired by two overarching practical considerations of computer models i many computer models are inadequate for perfectly modeling physical systems even with the besttuned calibration parameters ii only a finite number of data points are available from the physical experiment associated with a computer model following this new line of thinking we provide a nonasymptotic theory and derive a predictionoriented calibration method our calibration method minimizes the predictive mean squared error for a finite sample size with statistical guarantees we introduce an algorithm to perform the proposed calibration method and connect it to existing bayesian calibration methods synthetic and real examples are provided to corroborate the derived theory and illustrate some advantages of the proposed calibration method | [['we', 'provide', 'another', 'look', 'at', 'the', 'statistical', 'calibration', 'problem', 'in', 'computer', 'models', 'this', 'viewpoint', 'is', 'inspired', 'by', 'two', 'overarching', 'practical', 'considerations', 'of', 'computer', 'models', 'i', 'many', 'computer', 'models', 'are', 'inadequate', 'for', 'perfectly', 'modeling', 'physical', 'systems', 'even', 'with', 'the', 'besttuned', 'calibration', 'parameters', 'ii', 'only', 'a', 'finite', 'number', 'of', 'data', 'points', 'are', 'available', 'from', 'the', 'physical', 'experiment', 'associated', 'with', 'a', 'computer', 'model', 'following', 'this', 'new', 'line', 'of', 'thinking', 'we', 'provide', 'a', 'nonasymptotic', 'theory', 'and', 'derive', 'a', 'predictionoriented', 'calibration', 'method', 'our', 'calibration', 'method', 'minimizes', 'the', 'predictive', 'mean', 'squared', 'error', 'for', 'a', 'finite', 'sample', 'size', 'with', 'statistical', 'guarantees', 'we', 'introduce', 'an', 'algorithm', 'to', 'perform', 'the', 'proposed', 'calibration', 'method', 'and', 'connect', 'it', 'to', 'existing', 'bayesian', 'calibration', 'methods', 'synthetic', 'and', 'real', 'examples', 'are', 'provided', 'to', 'corroborate', 'the', 'derived', 'theory', 'and', 'illustrate', 'some', 'advantages', 'of', 'the', 'proposed', 'calibration', 'method']] | [-0.028571344911163487, -0.003988338715129333, -0.12375163922854165, 0.08751775520206749, -0.07894702722809015, -0.19555722788075797, 0.04864193461231091, 0.395758931020289, -0.24548875365427603, -0.36470409493026046, 0.11723191039390127, -0.2546137684657601, -0.16934921611047116, 0.2547620121418065, -0.11749241979550996, 0.09752644998028533, 0.10742316743223893, -0.012686476270927699, -0.07789256642856955, -0.25831958683356926, 0.24158267609824832, 0.04947709900732259, 0.30932989405141076, -0.0023267203453174643, 0.11380946979669584, -0.018773994361004215, -0.09665143657973363, 0.027960762040305683, -0.14330213366765956, 0.16226141985047268, 0.25818152736735467, 0.1979688388643829, 0.31216281901988135, -0.3948354663765338, -0.23325281730988098, 0.09539801423359691, 0.09541731648047576, 0.13788935146294534, -0.07404917012722381, -0.2579100023517883, 0.07777545602551399, -0.17310304980270053, -0.12099526786131656, -0.10498098655824216, -0.05044629122308306, 0.023664104215487952, -0.2920565749269747, 0.03877371070259571, 0.019726617489266032, 0.13359331955265907, -0.05196263612681673, -0.1588193449362373, 0.07101932570217391, 0.14518980569213288, 0.01978378903337591, -0.022159926749709, 0.1091222041799733, -0.09701572950460187, -0.12717862978918862, 0.37044133681747066, -0.005227772323485777, -0.2380131789419146, 0.17848498858902462, -0.06379610455225272, -0.1414710739698574, 0.0894179108431776, 0.1730509878239303, 0.08377790948347623, -0.1583397589341332, 0.06786404644274188, -0.023922256926316342, 0.16385231976742137, -0.062317497676366386, -0.024038138824252, 0.17287202363919096, 0.20087949064638438, 0.030120708268288637, 0.09823757427467303, -0.11296880062543325, -0.10957574279168407, -0.3591158203496278, -0.10775126125094772, -0.19445644284932667, -0.018929392799649756, -0.11102560784566422, -0.15779215450050266, 0.35784376062317713, 0.25057302750220506, 0.16912414216016994, 0.10669834836286614, 0.3722098126211239, 0.09826386991252, 0.017773341458603625, 0.06929447447866884, 0.22290134967152805, 0.12212299934645247, 0.06842376778030214, -0.18222547713347234, 0.03538352754749073, 0.05529153612726688] |
1,802.00022 | SO(3) "Nuclear Physics" with ultracold Gases | An ab initio calculation of nuclear physics from Quantum Chromodynamics
(QCD), the fundamental SU(3) gauge theory of the strong interaction, remains an
outstanding challenge. Here, we discuss the emergence of key elements of
nuclear physics using an SO(3) lattice gauge theory as a toy model for QCD. We
show that this model is accessible to state-of-the-art quantum simulation
experiments with ultracold atoms in an optical lattice. First, we demonstrate
that our model shares characteristic many-body features with QCD, such as the
spontaneous breakdown of chiral symmetry, its restoration at finite baryon
density, as well as the existence of few-body bound states. Then we show that
in the one-dimensional case, the dynamics in the gauge invariant sector can be
encoded as a spin S=3/2 Heisenberg model, i.e., as quantum magnetism, which has
a natural realization with bosonic mixtures in optical lattices, and thus sheds
light on the connection between non-Abelian gauge theories and quantum
magnetism.
| cond-mat.quant-gas hep-lat hep-th quant-ph | an ab initio calculation of nuclear physics from quantum chromodynamics qcd the fundamental su3 gauge theory of the strong interaction remains an outstanding challenge here we discuss the emergence of key elements of nuclear physics using an so3 lattice gauge theory as a toy model for qcd we show that this model is accessible to stateoftheart quantum simulation experiments with ultracold atoms in an optical lattice first we demonstrate that our model shares characteristic manybody features with qcd such as the spontaneous breakdown of chiral symmetry its restoration at finite baryon density as well as the existence of fewbody bound states then we show that in the onedimensional case the dynamics in the gauge invariant sector can be encoded as a spin s32 heisenberg model ie as quantum magnetism which has a natural realization with bosonic mixtures in optical lattices and thus sheds light on the connection between nonabelian gauge theories and quantum magnetism | [['an', 'ab', 'initio', 'calculation', 'of', 'nuclear', 'physics', 'from', 'quantum', 'chromodynamics', 'qcd', 'the', 'fundamental', 'su3', 'gauge', 'theory', 'of', 'the', 'strong', 'interaction', 'remains', 'an', 'outstanding', 'challenge', 'here', 'we', 'discuss', 'the', 'emergence', 'of', 'key', 'elements', 'of', 'nuclear', 'physics', 'using', 'an', 'so3', 'lattice', 'gauge', 'theory', 'as', 'a', 'toy', 'model', 'for', 'qcd', 'we', 'show', 'that', 'this', 'model', 'is', 'accessible', 'to', 'stateoftheart', 'quantum', 'simulation', 'experiments', 'with', 'ultracold', 'atoms', 'in', 'an', 'optical', 'lattice', 'first', 'we', 'demonstrate', 'that', 'our', 'model', 'shares', 'characteristic', 'manybody', 'features', 'with', 'qcd', 'such', 'as', 'the', 'spontaneous', 'breakdown', 'of', 'chiral', 'symmetry', 'its', 'restoration', 'at', 'finite', 'baryon', 'density', 'as', 'well', 'as', 'the', 'existence', 'of', 'fewbody', 'bound', 'states', 'then', 'we', 'show', 'that', 'in', 'the', 'onedimensional', 'case', 'the', 'dynamics', 'in', 'the', 'gauge', 'invariant', 'sector', 'can', 'be', 'encoded', 'as', 'a', 'spin', 's32', 'heisenberg', 'model', 'ie', 'as', 'quantum', 'magnetism', 'which', 'has', 'a', 'natural', 'realization', 'with', 'bosonic', 'mixtures', 'in', 'optical', 'lattices', 'and', 'thus', 'sheds', 'light', 'on', 'the', 'connection', 'between', 'nonabelian', 'gauge', 'theories', 'and', 'quantum', 'magnetism']] | [-0.09952571197388718, 0.2422354694885994, -0.09853355237131624, 0.060318943494084204, -0.02509198883282287, -0.13115823294290088, 0.013380142483654638, 0.3616363956871164, -0.2481909934385958, -0.23732615645684593, 0.0390461159782339, -0.27969815826962713, -0.16681580588995637, 0.12712299925359813, 0.0468689080867493, 0.07361106383697395, -0.005583917948889074, 0.046733751336668995, -0.1029829953134955, -0.23094853471704552, 0.2752575354768544, 0.018278710293136054, 0.2719064086430718, 0.1356139119212552, 0.08831797253231627, 0.022151996488168884, 0.08496844874961036, -0.03738775062858574, -0.10254058700470464, 0.09996131914720702, 0.23412463187078292, 0.006499796443582549, 0.16558149578533582, -0.448341725672317, -0.25169722510912973, 0.07022376129458138, 0.14046411944081547, 0.2220253097278961, -0.0925372598863618, -0.32149334344861713, 0.024598747576502236, -0.19162490736396814, -0.15363719178569296, -0.17303461792225672, -0.03014765141906773, -0.06468728133598221, -0.22416268971706318, 0.07947505184739538, 0.015510063126302239, 0.11541005643084645, -0.04113239006444739, -0.09093882528121595, -0.005968785304999487, 0.07319830917124334, 0.030482060017439163, 0.06834172250932784, 0.10636565177293204, -0.2232181254559644, -0.21797637655036886, 0.4961644852558127, -0.08017516999759457, -0.13023220196172788, 0.17812545176190264, -0.11610110367152404, -0.16384135543477613, 0.026920551706298992, 0.13518725382617686, 0.07574751993713828, -0.0979187125944859, 0.16289208694164606, -0.11744139833729593, 0.18403006430889945, -0.020778774884045607, 0.10709559293645253, 0.2743616260938927, 0.1908976708798875, 0.024023846924220296, 0.12046794749285372, -0.04109016810725262, -0.18364850275502723, -0.37127658028107186, -0.13592953115660855, -0.22667654379658014, 0.11896980477363936, -0.07180096713849494, -0.16001516409436023, 0.3789942354030375, 0.15796484259356344, 0.16317165673214507, -0.029841563019556802, 0.2544885659998573, 0.09402586584048975, 0.026131856101020784, 0.007693780645087071, 0.22114513275007924, 0.2129447038358005, 0.022226752125198482, -0.32424466629276755, -0.07493143757524018, 0.11109018654036396] |
1,802.00023 | Reaching Optimized Parameter Set, Protein Secondary Structure Prediction
Using Neural Network | We propose an optimized parameter set for protein secondary structure
prediction using three layer feed forward back propagation neural network. The
methodology uses four parameters viz. encoding scheme, window size, number of
neurons in the hidden layer and type of learning algorithm. The input layer of
the network consists of neurons changing from 3 to 19, corresponding to
different window sizes. The hidden layer chooses a natural number from 1 to 20
as the number of neurons. The output layer consists of three neurons, each
corresponding to known secondary structural classes viz. alpha helix, beta
strands and coils respectively. It also uses eight different learning
algorithms and nine encoding schemes. Exhaustive experiments were performed
using non-homologues dataset. The experimental results were compared using
performance measures like Q3, sensitivity, specificity, Mathew correlation
coefficient and accuracy. The paper also discusses the process of obtaining a
stabilized cluster of 2530 records from a collection of 11340 records. The
graphs of these stabilized clusters of records with respect to accuracy are
concave, convergence is monotonic increasing and rate of convergence is
uniform. The paper gives BLOSUM62 as the encoding scheme, 19 as the window
size, 19 as the number of neurons in the hidden layer and One- Step Secant as
the learning algorithm with the highest accuracy of 78%. These parameter values
are proposed as the optimized parameter set for the three layer feed forward
back propagation neural network for the protein secondary structure predictionv
| q-bio.BM q-bio.QM | we propose an optimized parameter set for protein secondary structure prediction using three layer feed forward back propagation neural network the methodology uses four parameters viz encoding scheme window size number of neurons in the hidden layer and type of learning algorithm the input layer of the network consists of neurons changing from 3 to 19 corresponding to different window sizes the hidden layer chooses a natural number from 1 to 20 as the number of neurons the output layer consists of three neurons each corresponding to known secondary structural classes viz alpha helix beta strands and coils respectively it also uses eight different learning algorithms and nine encoding schemes exhaustive experiments were performed using nonhomologues dataset the experimental results were compared using performance measures like q3 sensitivity specificity mathew correlation coefficient and accuracy the paper also discusses the process of obtaining a stabilized cluster of 2530 records from a collection of 11340 records the graphs of these stabilized clusters of records with respect to accuracy are concave convergence is monotonic increasing and rate of convergence is uniform the paper gives blosum62 as the encoding scheme 19 as the window size 19 as the number of neurons in the hidden layer and one step secant as the learning algorithm with the highest accuracy of 78 these parameter values are proposed as the optimized parameter set for the three layer feed forward back propagation neural network for the protein secondary structure predictionv | [['we', 'propose', 'an', 'optimized', 'parameter', 'set', 'for', 'protein', 'secondary', 'structure', 'prediction', 'using', 'three', 'layer', 'feed', 'forward', 'back', 'propagation', 'neural', 'network', 'the', 'methodology', 'uses', 'four', 'parameters', 'viz', 'encoding', 'scheme', 'window', 'size', 'number', 'of', 'neurons', 'in', 'the', 'hidden', 'layer', 'and', 'type', 'of', 'learning', 'algorithm', 'the', 'input', 'layer', 'of', 'the', 'network', 'consists', 'of', 'neurons', 'changing', 'from', '3', 'to', '19', 'corresponding', 'to', 'different', 'window', 'sizes', 'the', 'hidden', 'layer', 'chooses', 'a', 'natural', 'number', 'from', '1', 'to', '20', 'as', 'the', 'number', 'of', 'neurons', 'the', 'output', 'layer', 'consists', 'of', 'three', 'neurons', 'each', 'corresponding', 'to', 'known', 'secondary', 'structural', 'classes', 'viz', 'alpha', 'helix', 'beta', 'strands', 'and', 'coils', 'respectively', 'it', 'also', 'uses', 'eight', 'different', 'learning', 'algorithms', 'and', 'nine', 'encoding', 'schemes', 'exhaustive', 'experiments', 'were', 'performed', 'using', 'nonhomologues', 'dataset', 'the', 'experimental', 'results', 'were', 'compared', 'using', 'performance', 'measures', 'like', 'q3', 'sensitivity', 'specificity', 'mathew', 'correlation', 'coefficient', 'and', 'accuracy', 'the', 'paper', 'also', 'discusses', 'the', 'process', 'of', 'obtaining', 'a', 'stabilized', 'cluster', 'of', '2530', 'records', 'from', 'a', 'collection', 'of', '11340', 'records', 'the', 'graphs', 'of', 'these', 'stabilized', 'clusters', 'of', 'records', 'with', 'respect', 'to', 'accuracy', 'are', 'concave', 'convergence', 'is', 'monotonic', 'increasing', 'and', 'rate', 'of', 'convergence', 'is', 'uniform', 'the', 'paper', 'gives', 'blosum62', 'as', 'the', 'encoding', 'scheme', '19', 'as', 'the', 'window', 'size', '19', 'as', 'the', 'number', 'of', 'neurons', 'in', 'the', 'hidden', 'layer', 'and', 'one', 'step', 'secant', 'as', 'the', 'learning', 'algorithm', 'with', 'the', 'highest', 'accuracy', 'of', '78', 'these', 'parameter', 'values', 'are', 'proposed', 'as', 'the', 'optimized', 'parameter', 'set', 'for', 'the', 'three', 'layer', 'feed', 'forward', 'back', 'propagation', 'neural', 'network', 'for', 'the', 'protein', 'secondary', 'structure', 'predictionv']] | [-0.09322466627702493, 0.0849348839188113, 0.0008868227209974112, 0.01362357374520278, -0.05770713270802301, -0.17047239755702934, 0.08488756832627564, 0.40246646326943103, -0.2853952301400782, -0.3533160402402849, 0.07406204092774164, -0.28059449487467525, -0.13673829133798437, 0.17905980546395256, -0.022092505514684346, 0.09322127614307517, 0.05852008128084806, 0.07144646628802846, -0.0264992506503511, -0.2736271050975838, 0.285863152631762, 0.05987609098000186, 0.31299516507678765, -0.04702671413151391, 0.1461879192321256, -0.026272641294322784, -0.033648287529784195, -0.00726043149592167, -0.08347062848727493, 0.12292149352587704, 0.2325848325824819, 0.1401421540312101, 0.27784089254168404, -0.40017688590563644, -0.1866952314104165, 0.05042853848392363, 0.15159145385386938, 0.07700533268996711, 0.008812836831642957, -0.24973867421171494, 0.11692389870109428, -0.1474662429942679, -0.056332778955756946, -0.04681111579690473, -0.02213785978730674, 0.047126776663030834, -0.28757391328446, 0.04047697525889175, 0.035092784348139616, 0.061428790219409876, -0.048513935585388863, -0.1765474711839274, -0.029629288468228168, 0.18066910372561767, 0.024772800712923503, 0.047798438721625994, 0.17407527692154237, -0.12237381458892918, -0.10787573127010484, 0.3013841788981016, -0.04228988729276452, -0.16859093098118588, 0.16895570413467764, -0.052255582049471415, -0.12439568810548414, 0.16753448023531242, 0.1952189202498676, 0.07842323232242572, -0.13428803728531435, 0.00041567396221901565, -0.019659551854212105, 0.22556568762412718, 0.12035034064637858, 0.03004542109067356, 0.12347247352835354, 0.23159620657019286, 0.0371298597532617, 0.1752948965124019, -0.1808769865431813, -0.07413245323104314, -0.2627358139735185, -0.1244566881453947, -0.13908542899763165, -0.021648378406862626, -0.14972888888410163, -0.13112362906358307, 0.43897739171642713, 0.11147845582253918, 0.23230165531937064, 0.09307248813898436, 0.2484530645550792, 0.02768193334822852, 0.08419985334416304, 0.06329192029030509, 0.18676042250071911, 0.1244180293914181, 0.09523728597877908, -0.18062829770179106, 0.09315095906842406, 0.08556769078914389] |
1,802.00024 | Advancing the Velocity Gradient Technique: Using Gradient Amplitudes and
handling thermal broadening | The recent development of the Velocity Gradient Technique allows observers to
map magnetic field orientations and magnetization using the direction of
velocity gradients. Aside from the directions, amplitudes of velocity gradients
also contain valuable information about the underlying properties of
magneto-hydrodynamic (MHD) turbulence. In this paper, we explore what physical
information is contained in the amplitudes of velocity gradients and discuss
how this information can be used to diagnose properties of turbulence in both
diffuse and self-gravitating interstellar media. We identify the relations
between amplitudes of both intensity and velocity centroid gradients and the
sonic Mach number $M_s$ and they are consistent with the theory's predictions.
We test the robustness of the method and discuss how to utilize the amplitudes
of gradients into self-gravitating media. To extend the velocity gradient
technique we also discuss the usage of amplitude method to Position-Position
Velocity (PPV) space as a possible way to retrieve the velocity channel maps
before the contamination of thermal broadening. We discuss that the Velocity
Gradient Technique with these advancements could potentially give a
significantly more accurate statistical insight into the properties magnetized
turbulence.
| astro-ph.GA | the recent development of the velocity gradient technique allows observers to map magnetic field orientations and magnetization using the direction of velocity gradients aside from the directions amplitudes of velocity gradients also contain valuable information about the underlying properties of magnetohydrodynamic mhd turbulence in this paper we explore what physical information is contained in the amplitudes of velocity gradients and discuss how this information can be used to diagnose properties of turbulence in both diffuse and selfgravitating interstellar media we identify the relations between amplitudes of both intensity and velocity centroid gradients and the sonic mach number m_s and they are consistent with the theorys predictions we test the robustness of the method and discuss how to utilize the amplitudes of gradients into selfgravitating media to extend the velocity gradient technique we also discuss the usage of amplitude method to positionposition velocity ppv space as a possible way to retrieve the velocity channel maps before the contamination of thermal broadening we discuss that the velocity gradient technique with these advancements could potentially give a significantly more accurate statistical insight into the properties magnetized turbulence | [['the', 'recent', 'development', 'of', 'the', 'velocity', 'gradient', 'technique', 'allows', 'observers', 'to', 'map', 'magnetic', 'field', 'orientations', 'and', 'magnetization', 'using', 'the', 'direction', 'of', 'velocity', 'gradients', 'aside', 'from', 'the', 'directions', 'amplitudes', 'of', 'velocity', 'gradients', 'also', 'contain', 'valuable', 'information', 'about', 'the', 'underlying', 'properties', 'of', 'magnetohydrodynamic', 'mhd', 'turbulence', 'in', 'this', 'paper', 'we', 'explore', 'what', 'physical', 'information', 'is', 'contained', 'in', 'the', 'amplitudes', 'of', 'velocity', 'gradients', 'and', 'discuss', 'how', 'this', 'information', 'can', 'be', 'used', 'to', 'diagnose', 'properties', 'of', 'turbulence', 'in', 'both', 'diffuse', 'and', 'selfgravitating', 'interstellar', 'media', 'we', 'identify', 'the', 'relations', 'between', 'amplitudes', 'of', 'both', 'intensity', 'and', 'velocity', 'centroid', 'gradients', 'and', 'the', 'sonic', 'mach', 'number', 'm_s', 'and', 'they', 'are', 'consistent', 'with', 'the', 'theorys', 'predictions', 'we', 'test', 'the', 'robustness', 'of', 'the', 'method', 'and', 'discuss', 'how', 'to', 'utilize', 'the', 'amplitudes', 'of', 'gradients', 'into', 'selfgravitating', 'media', 'to', 'extend', 'the', 'velocity', 'gradient', 'technique', 'we', 'also', 'discuss', 'the', 'usage', 'of', 'amplitude', 'method', 'to', 'positionposition', 'velocity', 'ppv', 'space', 'as', 'a', 'possible', 'way', 'to', 'retrieve', 'the', 'velocity', 'channel', 'maps', 'before', 'the', 'contamination', 'of', 'thermal', 'broadening', 'we', 'discuss', 'that', 'the', 'velocity', 'gradient', 'technique', 'with', 'these', 'advancements', 'could', 'potentially', 'give', 'a', 'significantly', 'more', 'accurate', 'statistical', 'insight', 'into', 'the', 'properties', 'magnetized', 'turbulence']] | [-0.1073988371360389, 0.1390464815080834, -0.13825891495166023, 0.08118144876820936, -0.1063799240864287, -0.033889573325565005, 0.000285401660063223, 0.4082577045229972, -0.3012384565536986, -0.3034726010999926, 0.049285352340793114, -0.2244947041732382, -0.10350390632748199, 0.21100359911139568, -0.02123319939457123, 0.03200198864088515, 0.014376230577750981, -0.01753242112412725, -0.07081381515973076, -0.19217282344407463, 0.3045790086996377, 0.048258534430161766, 0.27487558154288033, 0.03166559164073197, 0.07383736698861669, -0.062323780765797455, -0.07708134269341826, 0.06434103779848437, -0.16501660164308501, 0.12054269781599389, 0.17731045235236903, 0.13572686174175824, 0.236508398159893, -0.4374419602504729, -0.2520555058904195, 0.049833426866984075, 0.18786828889025617, 0.14274269946516774, -0.027048279641783902, -0.2780390639293372, 0.042352608868816824, -0.10878196310817578, -0.19840936167621176, -0.09767255519830581, 0.013223273157643194, 0.048638714355943, -0.2285744459165827, 0.13572881736953327, 0.029397155849121347, 0.06525356228382367, -0.06876574903024289, -0.08659080185917327, -0.06284255266149083, 0.12232057416416786, 0.07010496550609115, 0.03945896703479103, 0.17825416245993794, -0.1676445074250375, -0.04460665213473871, 0.3858210326820288, -0.07550935456516605, -0.1920827625916623, 0.1759864165546985, -0.1768470057463476, -0.10499780953345496, 0.11935348333487206, 0.23373434747285818, 0.0651633539793851, -0.12096092147175627, 0.00025032291918962625, -0.005128638909967697, 0.16916998859074817, 0.059979798960620945, 0.05355802002557776, 0.24902962975750637, 0.07993586676235756, 0.040517827356740345, 0.11463069352359288, -0.18791596586917245, -0.0505983817328461, -0.2776091678381857, -0.17397006336052626, -0.09717589865170378, 0.0021764559104390764, -0.12218247298045279, -0.13529475067701677, 0.371399548000899, 0.26621649877684517, 0.19994058868716189, 0.02870723217821923, 0.3530933309103484, 0.08614533972286154, 0.03972540058590391, 0.1355882453334862, 0.2511583964666858, 0.2394803980132565, 0.1543360333788492, -0.24703838818822987, 0.0711007922686606, 0.03547701978190478] |
1,802.00025 | EPR Imaging of Metallic Lithium | We present a sensitive characterization method to image the microstructure of
lithium deposits in lithium-ion battery components by Conduction Electron
Paramagnetic Resonance Imaging (CEPRI). The versatility of the method is
demonstrated for both, imaging surface-patterns of thick lithium metal anodes,
as well as obtaining high-resolution images of lithium dendrites formed inside
a separator with several micrometre pixel size. The determined spatial
distribution of dendrites may then serve as an indicator of the current density
distribution and, therefore, yields most valuable information for battery cell
design. Accordingly, this method shows its capabilities in a research area
where electron paramagnetic resonance imaging (EPRI) has not been utilized so
far.
| physics.chem-ph | we present a sensitive characterization method to image the microstructure of lithium deposits in lithiumion battery components by conduction electron paramagnetic resonance imaging cepri the versatility of the method is demonstrated for both imaging surfacepatterns of thick lithium metal anodes as well as obtaining highresolution images of lithium dendrites formed inside a separator with several micrometre pixel size the determined spatial distribution of dendrites may then serve as an indicator of the current density distribution and therefore yields most valuable information for battery cell design accordingly this method shows its capabilities in a research area where electron paramagnetic resonance imaging epri has not been utilized so far | [['we', 'present', 'a', 'sensitive', 'characterization', 'method', 'to', 'image', 'the', 'microstructure', 'of', 'lithium', 'deposits', 'in', 'lithiumion', 'battery', 'components', 'by', 'conduction', 'electron', 'paramagnetic', 'resonance', 'imaging', 'cepri', 'the', 'versatility', 'of', 'the', 'method', 'is', 'demonstrated', 'for', 'both', 'imaging', 'surfacepatterns', 'of', 'thick', 'lithium', 'metal', 'anodes', 'as', 'well', 'as', 'obtaining', 'highresolution', 'images', 'of', 'lithium', 'dendrites', 'formed', 'inside', 'a', 'separator', 'with', 'several', 'micrometre', 'pixel', 'size', 'the', 'determined', 'spatial', 'distribution', 'of', 'dendrites', 'may', 'then', 'serve', 'as', 'an', 'indicator', 'of', 'the', 'current', 'density', 'distribution', 'and', 'therefore', 'yields', 'most', 'valuable', 'information', 'for', 'battery', 'cell', 'design', 'accordingly', 'this', 'method', 'shows', 'its', 'capabilities', 'in', 'a', 'research', 'area', 'where', 'electron', 'paramagnetic', 'resonance', 'imaging', 'epri', 'has', 'not', 'been', 'utilized', 'so', 'far']] | [-0.02040624516442991, 0.09080864783824766, -0.032239520841707975, -0.0035603832310208906, -0.028728776714370515, -0.15545727321519875, 0.02497660946727802, 0.4466431816824927, -0.24312630403773466, -0.3316135929557137, 0.08954443673540552, -0.2856948939510263, -0.07645095575403851, 0.20367091515799984, -0.06378421047702432, 0.0577378597439607, 0.04783572364025391, -0.007268808562702571, -0.0074211238981941, -0.144786778694162, 0.20338116806725828, 0.10619806084343089, 0.32584468322098614, 0.09796718704120184, 0.08990594174694987, -0.03982429923221039, 0.028535085967562806, 0.04595361910581302, -0.12738131319943372, 0.10757168965826097, 0.30467727875265366, 0.08836589653891189, 0.25027598215876, -0.46048367680766833, -0.26825483485411566, 0.028985002460943248, 0.2022187557662479, 0.06557791886301018, -0.15946891610152447, -0.24341320374738784, 0.05713306126059391, -0.13196639952142364, -0.14342408261458892, -0.04977934955296895, -0.005016255065968905, 0.025048999241195045, -0.2684472479245764, 0.05207643256737636, 0.03701872053184511, 0.0727189218876167, -0.10604459367795453, -0.16459811156472334, -0.039515475545508355, 0.12551966561631372, -0.022008036317017216, -0.008022123769758483, 0.2251918996558883, -0.10772768946033186, -0.047253767955296025, 0.3357754037894595, -0.04587518252530852, -0.131043273870231, 0.15106958014075644, -0.18208593195931128, -0.05549809113682176, 0.18303212454058945, 0.13490466796793044, 0.13922891700125406, -0.19841142885315305, 0.017074586800635397, 0.004495276517655629, 0.18776744496650422, 0.07259487112437804, 0.06945419127049927, 0.2384493582917807, 0.30735014170372427, 0.055186472134035006, 0.1369762034021103, -0.2283032164335824, 0.012720195001188235, -0.18069622327143756, -0.21376053388051403, -0.22298944110829885, 0.02664481000675341, -0.0552645727068291, -0.21361449971580163, 0.3833057222028191, 0.11918985070951749, 0.16920922837632063, -0.09976154469544642, 0.33442532885461473, 0.031268420939271055, 0.1138578971552376, 0.004367961060219945, 0.21655360907495308, 0.18523822099982332, 0.15284408456108606, -0.23690849838133615, 0.110486739568072, 0.011955844374964587] |
1,802.00026 | Understanding the strong intervening OVI absorber at z$_{abs}$ ~0.93
towards PG1206+459 | We have obtained new observations of the partial Lyman limit absorber at
\zabs$=0.93$ towards quasar PG~1206+459, and revisit its chemical and physical
conditions. The absorber, with $ N(HI) \sim 10^{17.0}$ ~\sqcm\ and absorption
lines spread over $\gtrsim$1000~\kms\ in velocity, is one of the strongest
known OVI absorbers at $\log N(OVI)=$15.54$\pm$0.17. Our analysis makes use of
the previously known low-(e.g. \MgII), intermediate-(e.g. SiIV), and
high-ionization (e.g., CIV, NV, NeVIII) metal lines along with new $HST/$COS
observations that cover OVI, and an $HST/$ACS image of the quasar field.
Consistent with previous studies, we find that the absorber has a multiphase
structure. The low-ionization phase arises from gas with a density of $\log
(n_{\rm H}/\rm cm^{-3})\sim-2.5$ and a solar to super-solar metallicity. The
high-ionization phase stems from gas with a significantly lower density, i.e.
$\log (n_{\rm H}/\rm cm^{-3}) \sim-3.8$, and a near-solar to solar metallicity.
The high-ionization phase accounts for all of the absorption seen in CIV, NV,
and OVI. We find the the detected \NeVIII, reported by \cite{Tripp2011}, is
best explained as originating in a stand-alone collisionally ionized phase at
$T\sim10^{5.85}~\rm K$, except in one component in which both OVI and NeVIII
can be produced via photoionization. We demonstrate that such strong OVI
absorption can easily arise from photoionization at $z\gtrsim1$, but that, due
to the decreasing extragalactic UV background radiation, only collisional
ionization can produce large OVI features at $z\sim0$. The azimuthal angle of
$\sim88$\degree\ of the disk of the nearest ($\rm 68~kpc$) luminous ($1.3L_*$)
galaxy at $z_{\rm gal}=0.9289$, which shows signatures of recent merger,
suggests that the bulk of the absorption arises from metal enriched outflows.
| astro-ph.GA | we have obtained new observations of the partial lyman limit absorber at zabs093 towards quasar pg1206459 and revisit its chemical and physical conditions the absorber with nhi sim 10170 sqcm and absorption lines spread over gtrsim1000kms in velocity is one of the strongest known ovi absorbers at log novi1554pm017 our analysis makes use of the previously known loweg mgii intermediateeg siiv and highionization eg civ nv neviii metal lines along with new hstcos observations that cover ovi and an hstacs image of the quasar field consistent with previous studies we find that the absorber has a multiphase structure the lowionization phase arises from gas with a density of log n_rm hrm cm3sim25 and a solar to supersolar metallicity the highionization phase stems from gas with a significantly lower density ie log n_rm hrm cm3 sim38 and a nearsolar to solar metallicity the highionization phase accounts for all of the absorption seen in civ nv and ovi we find the the detected neviii reported by citetripp2011 is best explained as originating in a standalone collisionally ionized phase at tsim10585rm k except in one component in which both ovi and neviii can be produced via photoionization we demonstrate that such strong ovi absorption can easily arise from photoionization at zgtrsim1 but that due to the decreasing extragalactic uv background radiation only collisional ionization can produce large ovi features at zsim0 the azimuthal angle of sim88degree of the disk of the nearest rm 68kpc luminous 13l_ galaxy at z_rm gal09289 which shows signatures of recent merger suggests that the bulk of the absorption arises from metal enriched outflows | [['we', 'have', 'obtained', 'new', 'observations', 'of', 'the', 'partial', 'lyman', 'limit', 'absorber', 'at', 'zabs093', 'towards', 'quasar', 'pg1206459', 'and', 'revisit', 'its', 'chemical', 'and', 'physical', 'conditions', 'the', 'absorber', 'with', 'nhi', 'sim', '10170', 'sqcm', 'and', 'absorption', 'lines', 'spread', 'over', 'gtrsim1000kms', 'in', 'velocity', 'is', 'one', 'of', 'the', 'strongest', 'known', 'ovi', 'absorbers', 'at', 'log', 'novi1554pm017', 'our', 'analysis', 'makes', 'use', 'of', 'the', 'previously', 'known', 'loweg', 'mgii', 'intermediateeg', 'siiv', 'and', 'highionization', 'eg', 'civ', 'nv', 'neviii', 'metal', 'lines', 'along', 'with', 'new', 'hstcos', 'observations', 'that', 'cover', 'ovi', 'and', 'an', 'hstacs', 'image', 'of', 'the', 'quasar', 'field', 'consistent', 'with', 'previous', 'studies', 'we', 'find', 'that', 'the', 'absorber', 'has', 'a', 'multiphase', 'structure', 'the', 'lowionization', 'phase', 'arises', 'from', 'gas', 'with', 'a', 'density', 'of', 'log', 'n_rm', 'hrm', 'cm3sim25', 'and', 'a', 'solar', 'to', 'supersolar', 'metallicity', 'the', 'highionization', 'phase', 'stems', 'from', 'gas', 'with', 'a', 'significantly', 'lower', 'density', 'ie', 'log', 'n_rm', 'hrm', 'cm3', 'sim38', 'and', 'a', 'nearsolar', 'to', 'solar', 'metallicity', 'the', 'highionization', 'phase', 'accounts', 'for', 'all', 'of', 'the', 'absorption', 'seen', 'in', 'civ', 'nv', 'and', 'ovi', 'we', 'find', 'the', 'the', 'detected', 'neviii', 'reported', 'by', 'citetripp2011', 'is', 'best', 'explained', 'as', 'originating', 'in', 'a', 'standalone', 'collisionally', 'ionized', 'phase', 'at', 'tsim10585rm', 'k', 'except', 'in', 'one', 'component', 'in', 'which', 'both', 'ovi', 'and', 'neviii', 'can', 'be', 'produced', 'via', 'photoionization', 'we', 'demonstrate', 'that', 'such', 'strong', 'ovi', 'absorption', 'can', 'easily', 'arise', 'from', 'photoionization', 'at', 'zgtrsim1', 'but', 'that', 'due', 'to', 'the', 'decreasing', 'extragalactic', 'uv', 'background', 'radiation', 'only', 'collisional', 'ionization', 'can', 'produce', 'large', 'ovi', 'features', 'at', 'zsim0', 'the', 'azimuthal', 'angle', 'of', 'sim88degree', 'of', 'the', 'disk', 'of', 'the', 'nearest', 'rm', '68kpc', 'luminous', '13l_', 'galaxy', 'at', 'z_rm', 'gal09289', 'which', 'shows', 'signatures', 'of', 'recent', 'merger', 'suggests', 'that', 'the', 'bulk', 'of', 'the', 'absorption', 'arises', 'from', 'metal', 'enriched', 'outflows']] | [-0.02870436131701036, 0.0950856481135166, 0.041350814484354084, 0.02740484934266923, -0.025118205760095623, -0.12333019177562424, 0.03344918297426332, 0.4666160995968514, -0.14477368549162906, -0.3172874975476473, -0.020214962315679128, -0.35478005893454545, 0.013485229436478148, 0.15314564457850563, 0.006885320575336317, -0.06404655551124874, -0.03538328603959628, -0.13399619869111726, -0.02465832541790968, -0.21386580788419537, 0.2830625712956553, 0.03103211111946231, 0.14618384463172998, 0.03565481341710048, 0.08240709814821284, -0.11586306582020847, -0.044720530011025925, 0.02746204475850044, -0.11315816940372142, 0.03574741613637242, 0.2899730420811841, 0.13776424863109632, 0.21897283563296133, -0.31234452551570796, -0.23896876555157914, 0.04319050717481693, 0.22101548198528084, 0.08858881802723137, -0.06560535870754855, -0.2610152002205954, 0.0004923465492625144, -0.1488454949253032, -0.17097243217156372, 0.10029647997090785, -0.015022122296079668, 0.02957086224434158, -0.25360556093847475, 0.16402563163714987, -0.011414659627859244, 0.10281219151580617, -0.037446689978149525, -0.09512100878748156, -0.1403591851325011, -0.020666310389984458, -0.007561796233021018, 0.050746662225315556, 0.23659104700126346, -0.14258410875123764, -0.004435330366028384, 0.4356387405774541, -0.15917017081722853, 0.09757934261431238, 0.24514329126511242, -0.22176841798026875, -0.20101680708236047, 0.2511621954433236, 0.11245340420051463, 0.10817185594582014, -0.08875493412963965, 0.02609866818700481, -0.09486468514336997, 0.2563463604255092, 0.024534743549930495, 0.09484127473964084, 0.2666541829128705, 0.036108101989763476, 0.05710424820565441, 0.04201315589145654, -0.2138719512519264, 0.02823424115518315, -0.22350122712218545, -0.12412533792482304, -0.08827772449160601, 0.10634500633681282, -0.15014932547158438, -0.14700998268820095, 0.31212241642938426, 0.1704973832621897, 0.2927947692528722, 0.0076824871496120025, 0.3351168869033692, 0.13408641532314794, 0.07578067502877925, 0.11573610720889908, 0.3156027142466637, 0.19816434285178455, 0.09946558104286576, -0.25018900066396105, 0.11774542405720918, 0.015361698555930088] |
1,802.00027 | A New Backpropagation Algorithm without Gradient Descent | The backpropagation algorithm, which had been originally introduced in the
1970s, is the workhorse of learning in neural networks. This backpropagation
algorithm makes use of the famous machine learning algorithm known as Gradient
Descent, which is a first-order iterative optimization algorithm for finding
the minimum of a function. To find a local minimum of a function using gradient
descent, one takes steps proportional to the negative of the gradient (or of
the approximate gradient) of the function at the current point. In this paper,
we develop an alternative to the backpropagation without the use of the
Gradient Descent Algorithm, but instead we are going to devise a new algorithm
to find the error in the weights and biases of an artificial neuron using
Moore-Penrose Pseudo Inverse. The numerical studies and the experiments
performed on various datasets are used to verify the working of this
alternative algorithm.
| cs.LG | the backpropagation algorithm which had been originally introduced in the 1970s is the workhorse of learning in neural networks this backpropagation algorithm makes use of the famous machine learning algorithm known as gradient descent which is a firstorder iterative optimization algorithm for finding the minimum of a function to find a local minimum of a function using gradient descent one takes steps proportional to the negative of the gradient or of the approximate gradient of the function at the current point in this paper we develop an alternative to the backpropagation without the use of the gradient descent algorithm but instead we are going to devise a new algorithm to find the error in the weights and biases of an artificial neuron using moorepenrose pseudo inverse the numerical studies and the experiments performed on various datasets are used to verify the working of this alternative algorithm | [['the', 'backpropagation', 'algorithm', 'which', 'had', 'been', 'originally', 'introduced', 'in', 'the', '1970s', 'is', 'the', 'workhorse', 'of', 'learning', 'in', 'neural', 'networks', 'this', 'backpropagation', 'algorithm', 'makes', 'use', 'of', 'the', 'famous', 'machine', 'learning', 'algorithm', 'known', 'as', 'gradient', 'descent', 'which', 'is', 'a', 'firstorder', 'iterative', 'optimization', 'algorithm', 'for', 'finding', 'the', 'minimum', 'of', 'a', 'function', 'to', 'find', 'a', 'local', 'minimum', 'of', 'a', 'function', 'using', 'gradient', 'descent', 'one', 'takes', 'steps', 'proportional', 'to', 'the', 'negative', 'of', 'the', 'gradient', 'or', 'of', 'the', 'approximate', 'gradient', 'of', 'the', 'function', 'at', 'the', 'current', 'point', 'in', 'this', 'paper', 'we', 'develop', 'an', 'alternative', 'to', 'the', 'backpropagation', 'without', 'the', 'use', 'of', 'the', 'gradient', 'descent', 'algorithm', 'but', 'instead', 'we', 'are', 'going', 'to', 'devise', 'a', 'new', 'algorithm', 'to', 'find', 'the', 'error', 'in', 'the', 'weights', 'and', 'biases', 'of', 'an', 'artificial', 'neuron', 'using', 'moorepenrose', 'pseudo', 'inverse', 'the', 'numerical', 'studies', 'and', 'the', 'experiments', 'performed', 'on', 'various', 'datasets', 'are', 'used', 'to', 'verify', 'the', 'working', 'of', 'this', 'alternative', 'algorithm']] | [-0.06024820455637033, -0.012247465683062791, -0.13447798188609925, 0.08873773525287205, -0.09653527260285942, -0.13254813623155326, 0.04245054580937841, 0.41497279358836375, -0.3351303574131572, -0.3230158637711549, 0.10079610486648824, -0.21999218210750196, -0.23398309871506534, 0.17958040888682772, -0.07110489435072938, 0.10287114060547663, 0.04469165575295074, 0.05744410977915746, -0.09314961827117695, -0.30105462315179765, 0.2567547743849788, 0.09813371319515146, 0.275607342787138, -0.01725625296199873, 0.17005289837794557, -0.02502508166769188, -0.01622755240891384, -0.0015885515636062785, -0.06904285304883834, 0.15174823021436468, 0.20030883363805302, 0.18300109692970418, 0.3798667750232024, -0.41822028783953763, -0.17580410335468102, 0.15728802550408658, 0.15736746245338135, 0.15892853953308275, -0.06399124926486378, -0.22920609001478512, 0.1079996207438741, -0.11447675277045226, -0.054473300225241744, -0.07974941690250265, -0.04172275289382837, 0.03974055283430211, -0.312190535471915, 0.03187170191763658, 0.047159207738668434, 0.055574466015071905, -0.019870521001556046, -0.1521537234777049, 0.06847755740993107, 0.08666332442256022, 0.04255165682773884, 0.0878098225125354, 0.12870215565884766, -0.12562445904708736, -0.15186867003061183, 0.31772002561196483, -0.07331233121987356, -0.18409214592985298, 0.1408566868455749, 0.01577410661322001, -0.11901835912251718, 0.0911225911217091, 0.20346598587738834, 0.17639298348891716, -0.14954303176148653, 0.058585754508784116, -0.014555174742557415, 0.10714818825662194, 0.010352285564494357, -0.09538337208126506, 0.11465603320010977, 0.17895822003101036, 0.12492060200119876, 0.1757318600119181, -0.11493754739815701, -0.1138103701021165, -0.26588236188439474, -0.15965830727340016, -0.21797822921677198, -0.011389492707939385, -0.08912173119570568, -0.21113482134875983, 0.40194865551534786, 0.184171627498908, 0.23109515131234307, 0.11352425403769402, 0.34088595124912024, 0.13708255362094138, 0.12201500884480519, 0.12465096715429466, 0.24910975784726747, 0.13268518956754458, 0.12728498872666147, -0.24526552973340635, 0.08565099011749437, 0.12523578614401568] |
1,802.00028 | Gradients of Synchrotron Polarization: Tracing 3D distribution of
magnetic fields | We describe a new technique for probing galactic and extragalactic 2D and 3D
magnetic field distribution using gradients of polarized synchrotron emission.
The fluctuations of magnetic field are elongated along the ambient magnetic
field. Therefore, the field variations are maximal perpendicular to the
B-field. This allows tracing B-field with synchrotron polarization gradients
(SPGs). We demonstrate that the Faraday depolarization allows to map 3D B-field
structure by. The depolarization ensures that the polarization gradients sample
the regions close to the observer with the sampling depth controlled by the
frequency of radiation. We also analyze the B-field properties along the
line-of-sight by applying the gradient technique to the wavelength derivative
of synchrotron polarization. This Synchrotron Derivative Polarization Gradients
(SDPGs) technique can recover the 3D vectors of the underlying B-fields. The
new techniques are different from the Faraday tomography as they provide a way
to map the 3D distribution of B-fields components perpendicular to the line of
sight. In addition, we find that the alignment of gradients of polarization
with the synchrotron polarization can be used to separate the contribution of
the foreground from the polarization of cosmological origin. We notice that the
same alignment is also present for the dust polarization.
| astro-ph.GA | we describe a new technique for probing galactic and extragalactic 2d and 3d magnetic field distribution using gradients of polarized synchrotron emission the fluctuations of magnetic field are elongated along the ambient magnetic field therefore the field variations are maximal perpendicular to the bfield this allows tracing bfield with synchrotron polarization gradients spgs we demonstrate that the faraday depolarization allows to map 3d bfield structure by the depolarization ensures that the polarization gradients sample the regions close to the observer with the sampling depth controlled by the frequency of radiation we also analyze the bfield properties along the lineofsight by applying the gradient technique to the wavelength derivative of synchrotron polarization this synchrotron derivative polarization gradients sdpgs technique can recover the 3d vectors of the underlying bfields the new techniques are different from the faraday tomography as they provide a way to map the 3d distribution of bfields components perpendicular to the line of sight in addition we find that the alignment of gradients of polarization with the synchrotron polarization can be used to separate the contribution of the foreground from the polarization of cosmological origin we notice that the same alignment is also present for the dust polarization | [['we', 'describe', 'a', 'new', 'technique', 'for', 'probing', 'galactic', 'and', 'extragalactic', '2d', 'and', '3d', 'magnetic', 'field', 'distribution', 'using', 'gradients', 'of', 'polarized', 'synchrotron', 'emission', 'the', 'fluctuations', 'of', 'magnetic', 'field', 'are', 'elongated', 'along', 'the', 'ambient', 'magnetic', 'field', 'therefore', 'the', 'field', 'variations', 'are', 'maximal', 'perpendicular', 'to', 'the', 'bfield', 'this', 'allows', 'tracing', 'bfield', 'with', 'synchrotron', 'polarization', 'gradients', 'spgs', 'we', 'demonstrate', 'that', 'the', 'faraday', 'depolarization', 'allows', 'to', 'map', '3d', 'bfield', 'structure', 'by', 'the', 'depolarization', 'ensures', 'that', 'the', 'polarization', 'gradients', 'sample', 'the', 'regions', 'close', 'to', 'the', 'observer', 'with', 'the', 'sampling', 'depth', 'controlled', 'by', 'the', 'frequency', 'of', 'radiation', 'we', 'also', 'analyze', 'the', 'bfield', 'properties', 'along', 'the', 'lineofsight', 'by', 'applying', 'the', 'gradient', 'technique', 'to', 'the', 'wavelength', 'derivative', 'of', 'synchrotron', 'polarization', 'this', 'synchrotron', 'derivative', 'polarization', 'gradients', 'sdpgs', 'technique', 'can', 'recover', 'the', '3d', 'vectors', 'of', 'the', 'underlying', 'bfields', 'the', 'new', 'techniques', 'are', 'different', 'from', 'the', 'faraday', 'tomography', 'as', 'they', 'provide', 'a', 'way', 'to', 'map', 'the', '3d', 'distribution', 'of', 'bfields', 'components', 'perpendicular', 'to', 'the', 'line', 'of', 'sight', 'in', 'addition', 'we', 'find', 'that', 'the', 'alignment', 'of', 'gradients', 'of', 'polarization', 'with', 'the', 'synchrotron', 'polarization', 'can', 'be', 'used', 'to', 'separate', 'the', 'contribution', 'of', 'the', 'foreground', 'from', 'the', 'polarization', 'of', 'cosmological', 'origin', 'we', 'notice', 'that', 'the', 'same', 'alignment', 'is', 'also', 'present', 'for', 'the', 'dust', 'polarization']] | [-0.10683736627429931, 0.11964570697058331, -0.0706353064254867, 0.04849939377134139, -0.10078950413982525, -0.028109603681698007, -0.034176608751001154, 0.4886470745985556, -0.31336373116143723, -0.2933462173725017, 0.03021337474741023, -0.20114388953523377, -0.05957059410278394, 0.1834975918072906, 0.01093292652130729, -0.027197582186246762, -0.061412242078927884, -0.07704039347799603, -0.04865574229489824, -0.16168079729253107, 0.33347398813842144, 0.09717158303887706, 0.30397411610112723, 0.001157271492323189, 0.10666743250131006, -0.03248169917067645, -0.039397372088084616, 0.06546083195581844, -0.05086130845184659, 0.1194705995660501, 0.16820036973028132, 0.09419252139732542, 0.13056394452760656, -0.4099936626398171, -0.21870728895877195, 0.06813350730726138, 0.13908072158510826, 0.16585448183674328, -0.050905803607122956, -0.2627108008930027, 0.02966101591315384, -0.07152782145229396, -0.1812954348243886, -0.043200908943709704, -0.026446111354450085, 0.026158225866072256, -0.25507383916739873, 0.07959355321457619, 0.025267297267382305, 0.07550418343997062, -0.09348998934729025, -0.07340344962560469, -0.06426356249545334, 0.09896292236887595, 0.06809983662367243, 0.1272595371966335, 0.20328436810476236, -0.1328441681942404, -0.10349934436192718, 0.35934778077132773, -0.10895307819274339, -0.15369401279263048, 0.1296781627155577, -0.23999980055712955, -0.11271678564853665, 0.17825024079912058, 0.16891521814683771, 0.12601724809807058, -0.12283678456518865, 0.05411080178637716, 0.0038760325876111635, 0.15144952577585824, 0.06490890828027117, 0.016215382159141957, 0.28620271747837767, 0.04708009101262297, 0.07417229057204848, 0.18818457402004343, -0.2560802453004689, 0.0016124830745875534, -0.2887672702852411, -0.13708094324248682, -0.13073908908156245, 0.06953424767525208, -0.13974198737787905, -0.14722862449531077, 0.403621172400737, 0.20767919272607702, 0.18302684031530386, 0.008254047061053265, 0.3752229151532355, 0.09856998983969338, 0.09042197398869603, 0.09812103691828353, 0.3067539663958326, 0.2139313610475228, 0.11715014973852897, -0.2794550600405218, 0.05975952900409924, -0.02422816594921504] |
1,802.00029 | Cluster-based Approach to Improve Affect Recognition from Passively
Sensed Data | Negative affect is a proxy for mental health in adults. By being able to
predict participants' negative affect states unobtrusively, researchers and
clinicians will be better positioned to deliver targeted, just-in-time mental
health interventions via mobile applications. This work attempts to personalize
the passive recognition of negative affect states via group-based modeling of
user behavior patterns captured from mobility, communication, and activity
patterns. Results show that group models outperform generalized models in a
dataset based on two weeks of users' daily lives.
| cs.HC cs.AI | negative affect is a proxy for mental health in adults by being able to predict participants negative affect states unobtrusively researchers and clinicians will be better positioned to deliver targeted justintime mental health interventions via mobile applications this work attempts to personalize the passive recognition of negative affect states via groupbased modeling of user behavior patterns captured from mobility communication and activity patterns results show that group models outperform generalized models in a dataset based on two weeks of users daily lives | [['negative', 'affect', 'is', 'a', 'proxy', 'for', 'mental', 'health', 'in', 'adults', 'by', 'being', 'able', 'to', 'predict', 'participants', 'negative', 'affect', 'states', 'unobtrusively', 'researchers', 'and', 'clinicians', 'will', 'be', 'better', 'positioned', 'to', 'deliver', 'targeted', 'justintime', 'mental', 'health', 'interventions', 'via', 'mobile', 'applications', 'this', 'work', 'attempts', 'to', 'personalize', 'the', 'passive', 'recognition', 'of', 'negative', 'affect', 'states', 'via', 'groupbased', 'modeling', 'of', 'user', 'behavior', 'patterns', 'captured', 'from', 'mobility', 'communication', 'and', 'activity', 'patterns', 'results', 'show', 'that', 'group', 'models', 'outperform', 'generalized', 'models', 'in', 'a', 'dataset', 'based', 'on', 'two', 'weeks', 'of', 'users', 'daily', 'lives']] | [-0.04340380568784184, 0.10608993222221459, -0.09331024633493365, 0.09874660895410471, -0.13970054868926726, -0.2423298773582934, 0.10973998552142847, 0.4276207774514105, -0.1824288200870974, -0.3489614544300044, 0.07301162220480875, -0.3417310088804764, -0.22735165162601156, 0.20190066982219676, -0.19163747988186958, -0.004320844440016805, 0.11548322452112987, 0.0747514795625537, 0.018625248868086534, -0.3043503300854709, 0.2638678291312805, 0.06347998183237662, 0.3724858512443195, 0.045476981574987495, 0.003359802510225918, -0.0023031948281951793, -0.053709638429941926, -0.032377360859976674, -0.04417662698182451, 0.1469365820052988, 0.3855779995136822, 0.21106016994226814, 0.35111228930877475, -0.4799361759342435, -0.2609341788764407, 0.09063803562440159, 0.13163117336949742, 0.054651268502333906, -0.03585763999243926, -0.39078246227397423, 0.10443396188273299, -0.2302752740669814, -0.07920824854759635, -0.1017398674427191, -0.029800314707511173, -0.0004893798287390027, -0.2688234461948457, 0.06859331708628594, -0.065104054287076, 0.1518485576663984, -0.10001542833747297, -0.07246834773246608, -0.032907718275787264, 0.3220988519819135, 0.07915415200397724, -0.033344923007506425, 0.2440729569643736, -0.1791573154502946, -0.19605353903933997, 0.3418351818648417, -0.019770588634944544, -0.1764838153428239, 0.19961541532198104, -0.07004750165634038, -0.1153075049813019, 0.08626188359950192, 0.33597847641014106, 0.09078017236358236, -0.16452880496749792, -0.09235924584705882, 0.013276527735132089, 0.20392437285045162, 0.038267226378637845, -0.018534839346368865, 0.2177535076909585, 0.17207886166189137, 0.021610239338947505, 0.03903625084501805, 0.002794017802310608, -0.05396863296322763, -0.12093026379532204, -0.14099528027766542, -0.11332097021996317, 0.027698697306488346, -0.022855206000513578, -0.10849634889604115, 0.4235972449404937, 0.22123995829918763, 0.11436949822506527, 0.055414066618740015, 0.2759708236539509, 0.003732719849766709, 0.13328770209648988, 0.08449107641922082, 0.13056762820740073, -0.026698028677279446, 0.175955011923911, -0.20649512413400795, 0.1943176045570886, -0.04982771173619279] |
1,802.0003 | Fusarium Damaged Kernels Detection Using Transfer Learning on Deep
Neural Network Architecture | The present work shows the application of transfer learning for a pre-trained
deep neural network (DNN), using a small image dataset ($\approx$ 12,000) on a
single workstation with enabled NVIDIA GPU card that takes up to 1 hour to
complete the training task and archive an overall average accuracy of $94.7\%$.
The DNN presents a $20\%$ score of misclassification for an external test
dataset. The accuracy of the proposed methodology is equivalent to ones using
HSI methodology $(81\%-91\%)$ used for the same task, but with the advantage of
being independent on special equipment to classify wheat kernel for FHB
symptoms.
| cs.LG stat.ML | the present work shows the application of transfer learning for a pretrained deep neural network dnn using a small image dataset approx 12000 on a single workstation with enabled nvidia gpu card that takes up to 1 hour to complete the training task and archive an overall average accuracy of 947 the dnn presents a 20 score of misclassification for an external test dataset the accuracy of the proposed methodology is equivalent to ones using hsi methodology 8191 used for the same task but with the advantage of being independent on special equipment to classify wheat kernel for fhb symptoms | [['the', 'present', 'work', 'shows', 'the', 'application', 'of', 'transfer', 'learning', 'for', 'a', 'pretrained', 'deep', 'neural', 'network', 'dnn', 'using', 'a', 'small', 'image', 'dataset', 'approx', '12000', 'on', 'a', 'single', 'workstation', 'with', 'enabled', 'nvidia', 'gpu', 'card', 'that', 'takes', 'up', 'to', '1', 'hour', 'to', 'complete', 'the', 'training', 'task', 'and', 'archive', 'an', 'overall', 'average', 'accuracy', 'of', '947', 'the', 'dnn', 'presents', 'a', '20', 'score', 'of', 'misclassification', 'for', 'an', 'external', 'test', 'dataset', 'the', 'accuracy', 'of', 'the', 'proposed', 'methodology', 'is', 'equivalent', 'to', 'ones', 'using', 'hsi', 'methodology', '8191', 'used', 'for', 'the', 'same', 'task', 'but', 'with', 'the', 'advantage', 'of', 'being', 'independent', 'on', 'special', 'equipment', 'to', 'classify', 'wheat', 'kernel', 'for', 'fhb', 'symptoms']] | [-0.03541336936534059, -0.06179259684885976, -0.04057597502001694, 0.014383357926984603, -0.09729696982255091, -0.1887053585877376, 0.06893964747100004, 0.4446620037209015, -0.20023285481147468, -0.39419511984558586, 0.07415810507741205, -0.28300448976770726, -0.09393065662969056, 0.24795045335872137, -0.11888734387157827, 0.09083942071610719, 0.17589204151145355, 0.08750099511294417, -0.039514536506078224, -0.34755821835857875, 0.2659914693605079, 0.08428253561979378, 0.33059553343004416, 0.015630132181341856, 0.183455661685225, -0.056108227037653634, -0.00786289094284424, -0.07090580510569508, -0.023852160264995086, 0.15103271664880522, 0.2576354773838681, 0.18553236758207833, 0.33857266062737573, -0.38369991392733493, -0.15460586040060253, 0.05595822971580284, 0.10778315068455413, 0.06755228300711938, -0.0089451983471268, -0.32864491362599846, 0.10872879458059158, -0.20555581823371502, -0.016172589605902225, -0.10495281203801991, 0.01858397206405596, -0.03806568844581251, -0.3113308041891064, 0.040627261994368565, 0.029704168790533225, 0.13846233891969434, -0.05720628712715923, -0.14385818272867068, 0.03669046412925331, 0.16212176476909343, -0.005969875822394935, 0.1176630290871372, 0.1495913059488699, -0.16552161644402968, -0.08571339402780202, 0.35304938192118185, -0.08891343443692491, -0.17318142565057557, 0.14174711303482526, -0.013542112808826626, -0.13476173733052207, 0.12464606473388683, 0.24339002927727238, 0.07668067763882633, -0.1689814882048843, -0.024239509965754018, -0.008990710904128013, 0.23619523042057433, 0.045499206929258545, -0.06938465860938388, 0.12080246933536339, 0.3030853943177024, -0.010261376635456572, 0.19424035580714746, -0.19054296313861044, -0.02383289136448685, -0.2186970517267378, -0.15355436548315066, -0.20179600804825598, 0.026371979753353765, -0.1314832075326454, -0.14422982188336056, 0.43147402729515977, 0.21584953295960263, 0.1705813688482633, 0.13920161924538754, 0.3338483659531541, 0.01202077397183344, 0.16964598885756366, 0.10460706085931244, 0.1606676927862727, 0.004261762568993228, 0.1398209222706453, -0.14156367692013025, 0.04107173234319352, 0.017671514951982725] |
1,802.00031 | Revealing the velocity structure of the filamentary nebula in NGC 1275
in its entirety | We have produced for the first time a detailed velocity map of the giant
filamentary nebula surrounding NGC 1275, the Perseus cluster's brightest
galaxy, and revealed a previously unknown rich velocity structure across the
entire nebula. We present new observations of the low-velocity component of
this nebula with the optical imaging Fourier transform spectrometer SITELLE at
CFHT. With its wide field of view ($\sim$11'$\times$11'), SITELLE is the only
integral field unit spectroscopy instrument able to cover the 80 kpc$\times$55
kpc (3.8'$\times$2.6') large nebula in NGC 1275. Our analysis of these
observations shows a smooth radial gradient of the [N
II]$\lambda$6583/$\text{H} \alpha$ line ratio, suggesting a change in the
ionization mechanism and source across the nebula, while the dispersion profile
shows a general decrease with increasing distance from the AGN at up to $\sim
10$ kpc. The velocity map shows no visible general trend or rotation,
indicating that filaments are not falling uniformly onto the galaxy, nor being
pulled out from it. Comparison between the physical properties of the filaments
and Hitomi measurements of the X-ray gas dynamics in Perseus are also explored.
| astro-ph.GA | we have produced for the first time a detailed velocity map of the giant filamentary nebula surrounding ngc 1275 the perseus clusters brightest galaxy and revealed a previously unknown rich velocity structure across the entire nebula we present new observations of the lowvelocity component of this nebula with the optical imaging fourier transform spectrometer sitelle at cfht with its wide field of view sim11times11 sitelle is the only integral field unit spectroscopy instrument able to cover the 80 kpctimes55 kpc 38times26 large nebula in ngc 1275 our analysis of these observations shows a smooth radial gradient of the n iilambda6583texth alpha line ratio suggesting a change in the ionization mechanism and source across the nebula while the dispersion profile shows a general decrease with increasing distance from the agn at up to sim 10 kpc the velocity map shows no visible general trend or rotation indicating that filaments are not falling uniformly onto the galaxy nor being pulled out from it comparison between the physical properties of the filaments and hitomi measurements of the xray gas dynamics in perseus are also explored | [['we', 'have', 'produced', 'for', 'the', 'first', 'time', 'a', 'detailed', 'velocity', 'map', 'of', 'the', 'giant', 'filamentary', 'nebula', 'surrounding', 'ngc', '1275', 'the', 'perseus', 'clusters', 'brightest', 'galaxy', 'and', 'revealed', 'a', 'previously', 'unknown', 'rich', 'velocity', 'structure', 'across', 'the', 'entire', 'nebula', 'we', 'present', 'new', 'observations', 'of', 'the', 'lowvelocity', 'component', 'of', 'this', 'nebula', 'with', 'the', 'optical', 'imaging', 'fourier', 'transform', 'spectrometer', 'sitelle', 'at', 'cfht', 'with', 'its', 'wide', 'field', 'of', 'view', 'sim11times11', 'sitelle', 'is', 'the', 'only', 'integral', 'field', 'unit', 'spectroscopy', 'instrument', 'able', 'to', 'cover', 'the', '80', 'kpctimes55', 'kpc', '38times26', 'large', 'nebula', 'in', 'ngc', '1275', 'our', 'analysis', 'of', 'these', 'observations', 'shows', 'a', 'smooth', 'radial', 'gradient', 'of', 'the', 'n', 'iilambda6583texth', 'alpha', 'line', 'ratio', 'suggesting', 'a', 'change', 'in', 'the', 'ionization', 'mechanism', 'and', 'source', 'across', 'the', 'nebula', 'while', 'the', 'dispersion', 'profile', 'shows', 'a', 'general', 'decrease', 'with', 'increasing', 'distance', 'from', 'the', 'agn', 'at', 'up', 'to', 'sim', '10', 'kpc', 'the', 'velocity', 'map', 'shows', 'no', 'visible', 'general', 'trend', 'or', 'rotation', 'indicating', 'that', 'filaments', 'are', 'not', 'falling', 'uniformly', 'onto', 'the', 'galaxy', 'nor', 'being', 'pulled', 'out', 'from', 'it', 'comparison', 'between', 'the', 'physical', 'properties', 'of', 'the', 'filaments', 'and', 'hitomi', 'measurements', 'of', 'the', 'xray', 'gas', 'dynamics', 'in', 'perseus', 'are', 'also', 'explored']] | [-0.0866200605154252, 0.05459515122157846, -0.10569292910297642, 0.016943711363658142, -0.10390981688462407, -0.07302559960602123, 0.012413816356487322, 0.45542603588840935, -0.22682217596454568, -0.33782371711195186, 0.034801453064860294, -0.2847487457643336, -0.04443420357662096, 0.20797155923183924, 0.02239866699929234, -0.040191588651590324, 0.0773739519789344, -0.07004526193682732, -0.03936923953006044, -0.20349812499388759, 0.257919739552491, 0.08031374648647654, 0.18526034534966385, -0.003626489012470741, 0.10794431384223817, -0.09370706357118108, -0.06399133333084801, -0.022214387412695737, -0.13524291283089512, 0.057630482126155534, 0.1914149206707233, 0.0906403153595839, 0.22983957240436478, -0.34590311973222293, -0.22717613023130245, 0.03929431470152869, 0.22298334705842177, -0.023501033037953246, -0.03863516175763661, -0.3043413854863369, 0.042196543916688416, -0.15200573425174932, -0.222036625099044, 0.0930470964028317, 0.04135892881221776, 0.04525282635619037, -0.1749692459167583, 0.14435564148454963, -0.015682618192258406, 0.1382408234371877, -0.12777122848973285, -0.0752713840881237, -0.031179066753967172, 0.08320715692904097, -0.004679070216645435, 0.11201816717400791, 0.22001592044749957, -0.12357363864397525, 0.028593395404999007, 0.37654761208242243, -0.04661144791798812, 0.005889170342700535, 0.2002420368920907, -0.2755848998530883, -0.19624352273845186, 0.19582120402784117, 0.10516200643006629, 0.09039047670032661, -0.11704293262308955, 0.030969603130073298, -0.07878746492055695, 0.23664861560990155, 0.04254308667326911, 0.03042490581809831, 0.2910713037800337, 0.08485274375324776, 0.06033414400972719, 0.14369155570153105, -0.2758282964573022, -0.05448954341556417, -0.2524721775507408, -0.10795449559430309, -0.13458708745984654, 0.058073736953609914, -0.13723213697256836, -0.12880173383092278, 0.34070610233289556, 0.07963131495563083, 0.2368426787761155, 0.014033492337689954, 0.33016664559398307, 0.05975133046675264, 0.14761007175355884, 0.13860850790358578, 0.2977512572810912, 0.19514039611532824, 0.1300481570625594, -0.23481695444893427, 0.060396555630657614, -0.0397452693170962] |
1,802.00032 | Coupling geometry on binary bipartite networks: hypotheses testing on
pattern geometry and nestedness | Upon a matrix representation of a binary bipartite network, via the
permutation invariance, a coupling geometry is computed to approximate the
minimum energy macrostate of a network's system. Such a macrostate is supposed
to constitute the intrinsic structures of the system, so that the coupling
geometry should be taken as information contents, or even the nonparametric
minimum sufficient statistics of the network data. Then pertinent null and
alternative hypotheses, such as nestedness, are to be formulated according to
the macrostate. That is, any efficient testing statistic needs to be a function
of this coupling geometry. These conceptual architectures and mechanisms are by
and large still missing in community ecology literature, and rendered
misconceptions prevalent in this research area. Here the algorithmically
computed coupling geometry is shown consisting of deterministic multiscale
block patterns, which are framed by two marginal ultrametric trees on row and
column axes, and stochastic uniform randomness within each block found on the
finest scale. Functionally a series of increasingly larger ensembles of matrix
mimicries is derived by conforming to the multiscale block configurations. Here
matrix mimicking is meant to be subject to constraints of row and column sums
sequences. Based on such a series of ensembles, a profile of distributions
becomes a natural device for checking the validity of testing statistics or
structural indexes. An energy based index is used for testing whether network
data indeed contains structural geometry. A new version block-based nestedness
index is also proposed. Its validity is checked and compared with the existing
ones. A computing paradigm, called Data Mechanics, and its application on one
real data network are illustrated throughout the developments and discussions
in this paper.
| stat.AP | upon a matrix representation of a binary bipartite network via the permutation invariance a coupling geometry is computed to approximate the minimum energy macrostate of a networks system such a macrostate is supposed to constitute the intrinsic structures of the system so that the coupling geometry should be taken as information contents or even the nonparametric minimum sufficient statistics of the network data then pertinent null and alternative hypotheses such as nestedness are to be formulated according to the macrostate that is any efficient testing statistic needs to be a function of this coupling geometry these conceptual architectures and mechanisms are by and large still missing in community ecology literature and rendered misconceptions prevalent in this research area here the algorithmically computed coupling geometry is shown consisting of deterministic multiscale block patterns which are framed by two marginal ultrametric trees on row and column axes and stochastic uniform randomness within each block found on the finest scale functionally a series of increasingly larger ensembles of matrix mimicries is derived by conforming to the multiscale block configurations here matrix mimicking is meant to be subject to constraints of row and column sums sequences based on such a series of ensembles a profile of distributions becomes a natural device for checking the validity of testing statistics or structural indexes an energy based index is used for testing whether network data indeed contains structural geometry a new version blockbased nestedness index is also proposed its validity is checked and compared with the existing ones a computing paradigm called data mechanics and its application on one real data network are illustrated throughout the developments and discussions in this paper | [['upon', 'a', 'matrix', 'representation', 'of', 'a', 'binary', 'bipartite', 'network', 'via', 'the', 'permutation', 'invariance', 'a', 'coupling', 'geometry', 'is', 'computed', 'to', 'approximate', 'the', 'minimum', 'energy', 'macrostate', 'of', 'a', 'networks', 'system', 'such', 'a', 'macrostate', 'is', 'supposed', 'to', 'constitute', 'the', 'intrinsic', 'structures', 'of', 'the', 'system', 'so', 'that', 'the', 'coupling', 'geometry', 'should', 'be', 'taken', 'as', 'information', 'contents', 'or', 'even', 'the', 'nonparametric', 'minimum', 'sufficient', 'statistics', 'of', 'the', 'network', 'data', 'then', 'pertinent', 'null', 'and', 'alternative', 'hypotheses', 'such', 'as', 'nestedness', 'are', 'to', 'be', 'formulated', 'according', 'to', 'the', 'macrostate', 'that', 'is', 'any', 'efficient', 'testing', 'statistic', 'needs', 'to', 'be', 'a', 'function', 'of', 'this', 'coupling', 'geometry', 'these', 'conceptual', 'architectures', 'and', 'mechanisms', 'are', 'by', 'and', 'large', 'still', 'missing', 'in', 'community', 'ecology', 'literature', 'and', 'rendered', 'misconceptions', 'prevalent', 'in', 'this', 'research', 'area', 'here', 'the', 'algorithmically', 'computed', 'coupling', 'geometry', 'is', 'shown', 'consisting', 'of', 'deterministic', 'multiscale', 'block', 'patterns', 'which', 'are', 'framed', 'by', 'two', 'marginal', 'ultrametric', 'trees', 'on', 'row', 'and', 'column', 'axes', 'and', 'stochastic', 'uniform', 'randomness', 'within', 'each', 'block', 'found', 'on', 'the', 'finest', 'scale', 'functionally', 'a', 'series', 'of', 'increasingly', 'larger', 'ensembles', 'of', 'matrix', 'mimicries', 'is', 'derived', 'by', 'conforming', 'to', 'the', 'multiscale', 'block', 'configurations', 'here', 'matrix', 'mimicking', 'is', 'meant', 'to', 'be', 'subject', 'to', 'constraints', 'of', 'row', 'and', 'column', 'sums', 'sequences', 'based', 'on', 'such', 'a', 'series', 'of', 'ensembles', 'a', 'profile', 'of', 'distributions', 'becomes', 'a', 'natural', 'device', 'for', 'checking', 'the', 'validity', 'of', 'testing', 'statistics', 'or', 'structural', 'indexes', 'an', 'energy', 'based', 'index', 'is', 'used', 'for', 'testing', 'whether', 'network', 'data', 'indeed', 'contains', 'structural', 'geometry', 'a', 'new', 'version', 'blockbased', 'nestedness', 'index', 'is', 'also', 'proposed', 'its', 'validity', 'is', 'checked', 'and', 'compared', 'with', 'the', 'existing', 'ones', 'a', 'computing', 'paradigm', 'called', 'data', 'mechanics', 'and', 'its', 'application', 'on', 'one', 'real', 'data', 'network', 'are', 'illustrated', 'throughout', 'the', 'developments', 'and', 'discussions', 'in', 'this', 'paper']] | [-0.10911883287731708, 0.09121676506218628, -0.08779265283066083, 0.10095624434574758, -0.07124002916435881, -0.14689647524539437, 0.037100194403170916, 0.37266071237807236, -0.29941625394144633, -0.2910736082674065, 0.15559824305564424, -0.24128185785681444, -0.16742129182531396, 0.15391934188048825, -0.06864000130172847, 0.07506104418413075, 0.056921116794445926, 0.04595180941120225, -0.04573803156636397, -0.23655762091061494, 0.3168965339699733, 0.08350491287343095, 0.3270178693703573, 0.015206451500582434, 0.08548113545844753, -0.00713603110919387, -0.03326154710303476, 0.06433039383316837, -0.08504777149337447, 0.1455024119305516, 0.2600689451082739, 0.18296453023302187, 0.2646051735708993, -0.42069560343086937, -0.20259927526068786, 0.10262583447688252, 0.10719474502675572, 0.08714209400571162, -0.012958791645678834, -0.2649890804050633, 0.07857512999292, -0.15300819614263128, -0.09264996265002567, -0.07218336404970827, 0.027527782843400635, 0.005908176124463007, -0.29425648988367326, 0.04362622177877113, 0.03678850982895624, 0.06634535096300236, -0.006936369449355687, -0.11235964207792737, 0.00292017608524103, 0.11906687639837228, 0.029524341291054593, 0.0018996365664078153, 0.13760178976558, -0.09166277135562162, -0.11359393827950269, 0.3959626173090706, -0.008552583989459532, -0.24663396346226443, 0.16588320695399136, -0.0685527566981835, -0.15917098988697315, 0.09326019900469415, 0.16015510209691608, 0.07747596137231576, -0.1853418501814569, 0.07205857218108921, -0.04447902549044603, 0.1916976417941687, 0.04770454524610069, 0.01396247681551511, 0.22050963076473942, 0.1688220329908994, 0.062063613417048524, 0.13566606058773115, -0.05055627875016445, -0.10831882152366486, -0.26182337978909587, -0.1390326582031311, -0.2343320213317749, 0.024397542558263742, -0.12261535495808128, -0.1983951664474295, 0.39619102240302156, 0.12637068385391728, 0.19471473361523337, 0.06521074537971282, 0.27320027940678854, 0.08497905761834547, 0.0900074270996605, 0.06434383010406754, 0.16841159021884652, 0.16371425864776176, 0.06628149817888897, -0.13213511120721724, 0.11345894493580708, 0.0778955329773798] |
1,802.00033 | Technical Report: Adjudication of Coreference Annotations via Answer Set
Optimization | We describe the first automatic approach for merging coreference annotations
obtained from multiple annotators into a single gold standard. This merging is
subject to certain linguistic hard constraints and optimization criteria that
prefer solutions with minimal divergence from annotators. The representation
involves an equivalence relation over a large number of elements. We use Answer
Set Programming to describe two representations of the problem and four
objective functions suitable for different datasets. We provide two
structurally different real-world benchmark datasets based on the METU-Sabanci
Turkish Treebank and we report our experiences in using the Gringo, Clasp, and
Wasp tools for computing optimal adjudication results on these datasets.
| cs.CL cs.AI | we describe the first automatic approach for merging coreference annotations obtained from multiple annotators into a single gold standard this merging is subject to certain linguistic hard constraints and optimization criteria that prefer solutions with minimal divergence from annotators the representation involves an equivalence relation over a large number of elements we use answer set programming to describe two representations of the problem and four objective functions suitable for different datasets we provide two structurally different realworld benchmark datasets based on the metusabanci turkish treebank and we report our experiences in using the gringo clasp and wasp tools for computing optimal adjudication results on these datasets | [['we', 'describe', 'the', 'first', 'automatic', 'approach', 'for', 'merging', 'coreference', 'annotations', 'obtained', 'from', 'multiple', 'annotators', 'into', 'a', 'single', 'gold', 'standard', 'this', 'merging', 'is', 'subject', 'to', 'certain', 'linguistic', 'hard', 'constraints', 'and', 'optimization', 'criteria', 'that', 'prefer', 'solutions', 'with', 'minimal', 'divergence', 'from', 'annotators', 'the', 'representation', 'involves', 'an', 'equivalence', 'relation', 'over', 'a', 'large', 'number', 'of', 'elements', 'we', 'use', 'answer', 'set', 'programming', 'to', 'describe', 'two', 'representations', 'of', 'the', 'problem', 'and', 'four', 'objective', 'functions', 'suitable', 'for', 'different', 'datasets', 'we', 'provide', 'two', 'structurally', 'different', 'realworld', 'benchmark', 'datasets', 'based', 'on', 'the', 'metusabanci', 'turkish', 'treebank', 'and', 'we', 'report', 'our', 'experiences', 'in', 'using', 'the', 'gringo', 'clasp', 'and', 'wasp', 'tools', 'for', 'computing', 'optimal', 'adjudication', 'results', 'on', 'these', 'datasets']] | [-0.07129322707824896, -0.011956615895559523, -0.07556220649830288, 0.09634144353192477, -0.1296269144463752, -0.13392422385513783, 0.07531959265470504, 0.41457626921169105, -0.24488740599315081, -0.37041093360277866, 0.07199374556962755, -0.32443927134431544, -0.143089598319715, 0.2526912817820197, -0.06493103264697961, 0.06654633586516692, 0.16840615346140805, 0.007477639222218256, -0.0633446692644308, -0.28105292911863045, 0.3730054124480202, -0.052467713105891434, 0.3222220663247364, 0.02593178292736411, 0.13418177055704983, -0.011360174639239197, -0.05254856752941296, 0.01053870732762984, -0.11615944311633938, 0.1723338224160086, 0.2933444590862131, 0.2358940955739291, 0.29874592205465195, -0.4099587405810044, -0.09324646783283069, 0.04476872328668833, 0.08934863105061508, 0.08833543083871648, -0.04240864420176617, -0.31025376213448386, 0.07589423869337354, -0.16030330832692838, 0.029602387035126975, -0.11579259809195286, -0.02148834067352471, -0.007474002357394922, -0.2950774052585032, 0.013115736899808758, 0.019832813039067247, 0.09896806460317402, -0.1064980700789463, -0.14226262467425493, 0.049708728047664325, 0.1788545247566487, 0.033395218231964376, -0.010619259880678284, 0.09395533178689047, -0.12158505599557733, -0.19097283251716624, 0.3671754897261659, -0.06524506702664352, -0.2271085410423222, 0.24549418208189308, -0.04334761927879992, -0.1880741144397429, 0.07755115460160943, 0.19418484560169635, 0.13713643901227485, -0.17937470372056677, 0.01945271566288457, -0.0789513251123329, 0.19741097954212733, 0.08908759438477101, -0.043190449791117795, 0.19608779893522815, 0.20664715800611747, 0.0007706208420651299, 0.16190623342325644, -0.05323270912770005, -0.05735034756362438, -0.25043921821495696, -0.10317710413863616, -0.13870961602466803, -0.017166986143482582, -0.1227341631377515, -0.17123706101306846, 0.3725259124722686, 0.2049293206605528, 0.16996323042105707, 0.11594596394736852, 0.2981644440087534, 0.031300443271313615, 0.08204047041581361, 0.05798644341439718, 0.15114197724365763, -0.001849296981734889, 0.08232552219692263, -0.15833572875375726, 0.02662071191617066, 0.07462933800187395] |
1,802.00034 | Oxygen holes and hybridization in the bismuthates | Motivated by the recently renewed interest in the superconducting bismuth
perovskites, we investigate the electronic structure of the parent compounds
ABiO$_{3}$ (A= Sr, Ba) using $ab$ $initio$ methods and tight-binding (TB)
modeling. We use the density functional theory (DFT) in the local density
approximation (LDA) to understand the role of various interactions in shaping
the ABiO$_{3}$ bandstructure near the Fermi level. It is established that
interatomic hybridization involving Bi-$6s$ and O-$2p$ orbitals plays the most
important role. Based on our DFT calculations, we derive a minimal TB model and
demonstrate that it can describe the properties of the bandstructure as a
function of lattice distortions, such as the opening of a charge gap with the
onset of the breathing distortion and the associated condensation of holes onto
$a_{1g}$-symmetric molecular orbitals formed by the O-$2p_{\sigma}$ orbitals on
collapsed octahedra. We also derive a single band model involving the hopping
of an extended molecular orbital involving both Bi-$6s$ and a linear
combination of six O-$2p$ orbitals which provides a very good description of
the dispersion and band gaps of the low energy scale bands straddling the
chemical potential.
| cond-mat.mtrl-sci cond-mat.supr-con | motivated by the recently renewed interest in the superconducting bismuth perovskites we investigate the electronic structure of the parent compounds abio_3 a sr ba using ab initio methods and tightbinding tb modeling we use the density functional theory dft in the local density approximation lda to understand the role of various interactions in shaping the abio_3 bandstructure near the fermi level it is established that interatomic hybridization involving bi6s and o2p orbitals plays the most important role based on our dft calculations we derive a minimal tb model and demonstrate that it can describe the properties of the bandstructure as a function of lattice distortions such as the opening of a charge gap with the onset of the breathing distortion and the associated condensation of holes onto a_1gsymmetric molecular orbitals formed by the o2p_sigma orbitals on collapsed octahedra we also derive a single band model involving the hopping of an extended molecular orbital involving both bi6s and a linear combination of six o2p orbitals which provides a very good description of the dispersion and band gaps of the low energy scale bands straddling the chemical potential | [['motivated', 'by', 'the', 'recently', 'renewed', 'interest', 'in', 'the', 'superconducting', 'bismuth', 'perovskites', 'we', 'investigate', 'the', 'electronic', 'structure', 'of', 'the', 'parent', 'compounds', 'abio_3', 'a', 'sr', 'ba', 'using', 'ab', 'initio', 'methods', 'and', 'tightbinding', 'tb', 'modeling', 'we', 'use', 'the', 'density', 'functional', 'theory', 'dft', 'in', 'the', 'local', 'density', 'approximation', 'lda', 'to', 'understand', 'the', 'role', 'of', 'various', 'interactions', 'in', 'shaping', 'the', 'abio_3', 'bandstructure', 'near', 'the', 'fermi', 'level', 'it', 'is', 'established', 'that', 'interatomic', 'hybridization', 'involving', 'bi6s', 'and', 'o2p', 'orbitals', 'plays', 'the', 'most', 'important', 'role', 'based', 'on', 'our', 'dft', 'calculations', 'we', 'derive', 'a', 'minimal', 'tb', 'model', 'and', 'demonstrate', 'that', 'it', 'can', 'describe', 'the', 'properties', 'of', 'the', 'bandstructure', 'as', 'a', 'function', 'of', 'lattice', 'distortions', 'such', 'as', 'the', 'opening', 'of', 'a', 'charge', 'gap', 'with', 'the', 'onset', 'of', 'the', 'breathing', 'distortion', 'and', 'the', 'associated', 'condensation', 'of', 'holes', 'onto', 'a_1gsymmetric', 'molecular', 'orbitals', 'formed', 'by', 'the', 'o2p_sigma', 'orbitals', 'on', 'collapsed', 'octahedra', 'we', 'also', 'derive', 'a', 'single', 'band', 'model', 'involving', 'the', 'hopping', 'of', 'an', 'extended', 'molecular', 'orbital', 'involving', 'both', 'bi6s', 'and', 'a', 'linear', 'combination', 'of', 'six', 'o2p', 'orbitals', 'which', 'provides', 'a', 'very', 'good', 'description', 'of', 'the', 'dispersion', 'and', 'band', 'gaps', 'of', 'the', 'low', 'energy', 'scale', 'bands', 'straddling', 'the', 'chemical', 'potential']] | [-0.1443464020320617, 0.10261716363720307, -0.039240799178809835, 0.08668636315993059, 0.013789789286769322, -0.0797010401175735, 0.11867505500936328, 0.3589819110351036, -0.2815296839928959, -0.2740403723575779, -0.02898177159635501, -0.3170178619490282, -0.1768972714658122, 0.1175305592084958, 0.08027400871034007, -0.005090863662268463, 0.00836243036933042, -0.06109652190746085, -0.14774374545149102, -0.16045261978398304, 0.28302622123281596, 0.10101412085665239, 0.2648531056034404, 0.07733895202242845, 0.010153619271098964, 0.05086025720638399, 0.08169053629342769, -0.0009712333967154091, -0.14812838720650148, 0.18107172403786634, 0.24327458612797026, -0.026278310717159026, 0.25287848755440395, -0.47511964028550163, -0.22828554988939415, -0.035046864129804275, 0.11751100174906487, 0.13600934868225376, -0.09051534690645624, -0.24584929099356806, 0.012519938722756264, -0.16847219558533383, -0.11773859868077813, -0.12590291315651927, -0.016459805151837804, 0.031078633525081584, -0.24320690858309987, 0.10738921004231088, 0.0032359815630558374, 0.08920693492758358, -0.1366463253110949, -0.1700320796311103, -0.10883856607991195, 0.06097443550321702, 0.027372788157112696, 0.056972613012751666, 0.12741001415494327, -0.08621888369875583, -0.06377071288942888, 0.4421632369577482, -0.05871256660493846, -0.11484523054615066, 0.18535877453238778, -0.149581268352985, -0.11798253183605502, 0.12700291634914843, 0.09860630517611532, 0.07993235912022961, -0.12573271031417518, 0.1373452737167591, -0.007210285540015714, 0.17865260344099354, 0.038655636256963416, 0.08897170739349078, 0.2405419982079341, 0.18182006874499287, 0.019998027522721, 0.08803997581472268, -0.16353712641678095, -0.09778750962955324, -0.21784688055490117, -0.1614510461795018, -0.2331959838689481, 0.01325010041890326, -0.07102951658339038, -0.21185783844541858, 0.4332007467847418, 0.08194070556201041, 0.18017179274277106, -0.06047740016271033, 0.19152733599367894, 0.1032179817689482, 0.08196858551000824, 0.023304045558403673, 0.22710603368972002, 0.1664176341322427, 0.023552737996686956, -0.30697016779685743, 0.05661935361756666, 0.05486740748574202] |
1,802.00035 | On the integrability of Degasperis-Procesi equation: control of the
Sobolev norms and Birkhoff resonances | We consider the dispersive Degasperis-Procesi equation $u_t-u_{x x
t}-\mathtt{c} u_{xxx}+4 \mathtt{c} u_x-u u_{xxx}-3 u_x u_{xx}+4 u u_x=0$ with
$\mathtt{c}\neq 0$. In \cite{Deg} the authors proved that this equation
possesses infinitely many conserved quantities. We prove that, in a
neighborhood of the origin, there are infinitely many of such constants of
motion which control the Sobolev norms and which are analytic in a neighborhood
of the origin of some $H^s$ Sobolev space, both on $\mathbb{R}$ and
$\mathbb{T}$. By the analysis of these conserved quantities we deduce a result
of global well-posedness for solutions with small initial data and we show
that, on the circle, the formal Birkhoff normal form of the Degasperis-Procesi
at any order is action-preserving.
| math.AP | we consider the dispersive degasperisprocesi equation u_tu_x x tmathttc u_xxx4 mathttc u_xu u_xxx3 u_x u_xx4 u u_x0 with mathttcneq 0 in citedeg the authors proved that this equation possesses infinitely many conserved quantities we prove that in a neighborhood of the origin there are infinitely many of such constants of motion which control the sobolev norms and which are analytic in a neighborhood of the origin of some hs sobolev space both on mathbbr and mathbbt by the analysis of these conserved quantities we deduce a result of global wellposedness for solutions with small initial data and we show that on the circle the formal birkhoff normal form of the degasperisprocesi at any order is actionpreserving | [['we', 'consider', 'the', 'dispersive', 'degasperisprocesi', 'equation', 'u_tu_x', 'x', 'tmathttc', 'u_xxx4', 'mathttc', 'u_xu', 'u_xxx3', 'u_x', 'u_xx4', 'u', 'u_x0', 'with', 'mathttcneq', '0', 'in', 'citedeg', 'the', 'authors', 'proved', 'that', 'this', 'equation', 'possesses', 'infinitely', 'many', 'conserved', 'quantities', 'we', 'prove', 'that', 'in', 'a', 'neighborhood', 'of', 'the', 'origin', 'there', 'are', 'infinitely', 'many', 'of', 'such', 'constants', 'of', 'motion', 'which', 'control', 'the', 'sobolev', 'norms', 'and', 'which', 'are', 'analytic', 'in', 'a', 'neighborhood', 'of', 'the', 'origin', 'of', 'some', 'hs', 'sobolev', 'space', 'both', 'on', 'mathbbr', 'and', 'mathbbt', 'by', 'the', 'analysis', 'of', 'these', 'conserved', 'quantities', 'we', 'deduce', 'a', 'result', 'of', 'global', 'wellposedness', 'for', 'solutions', 'with', 'small', 'initial', 'data', 'and', 'we', 'show', 'that', 'on', 'the', 'circle', 'the', 'formal', 'birkhoff', 'normal', 'form', 'of', 'the', 'degasperisprocesi', 'at', 'any', 'order', 'is', 'actionpreserving']] | [-0.20004482536559115, 0.0548679834618321, -0.0705568302173732, 0.06730021593459654, -0.03764391329385481, -0.08704939812755669, -0.013134337403758798, 0.3155239957894357, -0.312896614621903, -0.1878595611713124, 0.14075761087752772, -0.33959428988449836, -0.12232431408703187, 0.17859950080021936, -0.028647553232797194, 0.07140798583837613, 0.052759220610583586, 0.0816024466294725, -0.08254313341315554, -0.21274898871823372, 0.3812097642561948, -0.13199189769209557, 0.18545753129907303, 0.02902905223891139, 0.15595780202420428, -0.028927945044278255, 0.0399466890524326, -0.018935242364949652, -0.21102318988187965, 0.109464070100759, 0.23273137194227497, 0.07974711317735952, 0.2878324595227275, -0.4020892041823212, -0.2213092936391784, 0.15701215131261018, 0.1401511093113958, 0.04224432609263667, -0.03593335346948083, -0.2933390674242785, 0.0881892875175185, -0.08679742973192402, -0.21860080080124428, -0.11237302356078904, 0.08319565308508726, 0.11855205958533399, -0.2667310364052372, 0.10834632422950752, 0.11029130992817886, 0.02940235121773099, -0.16255922805307046, -0.09460747712467499, -0.06114858523437332, 0.07390428793107001, 0.1056032794393722, 0.05102462062770325, 0.041559179784358864, -0.09573978390808235, -0.04294129018232508, 0.36393610693795503, -0.08279603881923973, -0.2644067302978826, 0.15454151692255488, -0.1984579371736508, -0.17935189660111406, 0.08169477477775149, 0.09602671107365135, 0.13760492161689503, -0.11660080303807023, 0.19782121279902914, -0.1070506477306755, 0.1369300535001423, 0.10665123196722905, 0.03936821300940553, 0.0831036440992974, 0.09715068527005331, 0.12856541826051465, 0.06254938876976804, -0.0228788165012067, -0.10424534142904757, -0.3792171528176317, -0.1763427045793747, -0.15517200862127795, 0.1392547949140382, -0.1275814345348374, -0.2023221503257892, 0.3426134059192472, 0.12804713593532313, 0.20766272800886687, 0.06689010751829043, 0.1832569100595308, 0.15033794153165422, 0.0070533137768507, 0.1145856906352389, 0.17871299128290838, 0.10541065660401967, 0.10760013237244116, -0.1819144941181085, 0.030221275198888384, 0.16496008122339845] |
1,802.00036 | In Defense of Classical Image Processing: Fast Depth Completion on the
CPU | With the rise of data driven deep neural networks as a realization of
universal function approximators, most research on computer vision problems has
moved away from hand crafted classical image processing algorithms. This paper
shows that with a well designed algorithm, we are capable of outperforming
neural network based methods on the task of depth completion. The proposed
algorithm is simple and fast, runs on the CPU, and relies only on basic image
processing operations to perform depth completion of sparse LIDAR depth data.
We evaluate our algorithm on the challenging KITTI depth completion benchmark,
and at the time of submission, our method ranks first on the KITTI test server
among all published methods. Furthermore, our algorithm is data independent,
requiring no training data to perform the task at hand. The code written in
Python will be made publicly available at https://github.com/kujason/ip_basic.
| cs.CV | with the rise of data driven deep neural networks as a realization of universal function approximators most research on computer vision problems has moved away from hand crafted classical image processing algorithms this paper shows that with a well designed algorithm we are capable of outperforming neural network based methods on the task of depth completion the proposed algorithm is simple and fast runs on the cpu and relies only on basic image processing operations to perform depth completion of sparse lidar depth data we evaluate our algorithm on the challenging kitti depth completion benchmark and at the time of submission our method ranks first on the kitti test server among all published methods furthermore our algorithm is data independent requiring no training data to perform the task at hand the code written in python will be made publicly available at httpsgithubcomkujasonip_basic | [['with', 'the', 'rise', 'of', 'data', 'driven', 'deep', 'neural', 'networks', 'as', 'a', 'realization', 'of', 'universal', 'function', 'approximators', 'most', 'research', 'on', 'computer', 'vision', 'problems', 'has', 'moved', 'away', 'from', 'hand', 'crafted', 'classical', 'image', 'processing', 'algorithms', 'this', 'paper', 'shows', 'that', 'with', 'a', 'well', 'designed', 'algorithm', 'we', 'are', 'capable', 'of', 'outperforming', 'neural', 'network', 'based', 'methods', 'on', 'the', 'task', 'of', 'depth', 'completion', 'the', 'proposed', 'algorithm', 'is', 'simple', 'and', 'fast', 'runs', 'on', 'the', 'cpu', 'and', 'relies', 'only', 'on', 'basic', 'image', 'processing', 'operations', 'to', 'perform', 'depth', 'completion', 'of', 'sparse', 'lidar', 'depth', 'data', 'we', 'evaluate', 'our', 'algorithm', 'on', 'the', 'challenging', 'kitti', 'depth', 'completion', 'benchmark', 'and', 'at', 'the', 'time', 'of', 'submission', 'our', 'method', 'ranks', 'first', 'on', 'the', 'kitti', 'test', 'server', 'among', 'all', 'published', 'methods', 'furthermore', 'our', 'algorithm', 'is', 'data', 'independent', 'requiring', 'no', 'training', 'data', 'to', 'perform', 'the', 'task', 'at', 'hand', 'the', 'code', 'written', 'in', 'python', 'will', 'be', 'made', 'publicly', 'available', 'at', 'httpsgithubcomkujasonip_basic']] | [-0.0453020107968717, -0.04889974235193738, -0.07947553761125087, 0.005477203271708432, -0.10282057702396039, -0.2100640650217732, 0.02472978448313628, 0.4602607261944324, -0.2511776221613895, -0.35764466392550065, 0.13420082525687016, -0.27019872443076776, -0.16044415011737787, 0.30828945241300454, -0.10609749255120648, 0.13250629296476774, 0.19769813889697035, 0.07175602676703575, -0.06673519727972119, -0.35970585984805376, 0.26164412405341864, 0.06860686009993334, 0.3338948563599946, 0.028805348034683907, 0.13631306930134693, -0.015510543526962716, -0.0917221469002122, -0.0399244213352931, -0.05025036799819878, 0.13669922095822526, 0.2694722899163129, 0.23888003149317333, 0.275244508341536, -0.44266286415728273, -0.15458730226613793, 0.0719851585607051, 0.10108205828987432, 0.11133932352874343, -0.014541669033718764, -0.32810422015237684, 0.0705536420668429, -0.11107971245944764, 0.030427594309183934, -0.10572980216981724, -0.0005184709299223643, -0.027388243995448376, -0.2702278737969538, 0.009917341978520367, 0.013739508894562774, 0.09434840367142613, -0.016761333445509802, -0.13332652227114225, 0.04382958531326859, 0.15216386213515562, 0.003622584582425337, 0.09080250430786123, 0.1585728769382158, -0.16412071031240658, -0.1574412116463831, 0.3830982043493724, -0.07024790212538437, -0.14720439724624157, 0.20880678711386386, -0.003217387861895857, -0.20360248739969858, 0.0999314034199144, 0.2402938666954927, 0.14034166916583976, -0.10550259023984061, 0.07329929741768246, -0.05849987438199579, 0.20524542805150892, 0.05023099555046106, -0.0271500831062027, 0.1408294088781831, 0.281888267051772, 0.051372454019927204, 0.13338076251192374, -0.13564290953403774, -0.04784016860715041, -0.24328519754336342, -0.07359377225425015, -0.27984503899942026, -0.05503251845453014, -0.0580170300508666, -0.15673375653470611, 0.39002227652421656, 0.25477487128021536, 0.17684313625837048, 0.12616078335880995, 0.4275892492357298, 0.005560084260960526, 0.14593274274127596, 0.15869400242561513, 0.14256148314572448, 0.002472798556340396, 0.15173258333209347, -0.15818762473913953, 0.06756218867987421, 0.07742639079505036] |
1,802.00037 | Dynamical universality of the contact process | The dynamical relaxation and scaling properties of three different variants
of the contact process in two spatial dimensions are analysed. Dynamical
contact processes capture a variety of contagious processes such as the
spreading of diseases or opinions. The universality of both local and global
two-time correlators of the particle-density and the associated linear
responses are tested through several scaling relations of the non-equilibrium
exponents and the shape of the associated scaling functions. In addition, the
dynamical scaling of two-time global correlators can be used as a tool to
improve on the determination of the location of critical points.
| cond-mat.stat-mech | the dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed dynamical contact processes capture a variety of contagious processes such as the spreading of diseases or opinions the universality of both local and global twotime correlators of the particledensity and the associated linear responses are tested through several scaling relations of the nonequilibrium exponents and the shape of the associated scaling functions in addition the dynamical scaling of twotime global correlators can be used as a tool to improve on the determination of the location of critical points | [['the', 'dynamical', 'relaxation', 'and', 'scaling', 'properties', 'of', 'three', 'different', 'variants', 'of', 'the', 'contact', 'process', 'in', 'two', 'spatial', 'dimensions', 'are', 'analysed', 'dynamical', 'contact', 'processes', 'capture', 'a', 'variety', 'of', 'contagious', 'processes', 'such', 'as', 'the', 'spreading', 'of', 'diseases', 'or', 'opinions', 'the', 'universality', 'of', 'both', 'local', 'and', 'global', 'twotime', 'correlators', 'of', 'the', 'particledensity', 'and', 'the', 'associated', 'linear', 'responses', 'are', 'tested', 'through', 'several', 'scaling', 'relations', 'of', 'the', 'nonequilibrium', 'exponents', 'and', 'the', 'shape', 'of', 'the', 'associated', 'scaling', 'functions', 'in', 'addition', 'the', 'dynamical', 'scaling', 'of', 'twotime', 'global', 'correlators', 'can', 'be', 'used', 'as', 'a', 'tool', 'to', 'improve', 'on', 'the', 'determination', 'of', 'the', 'location', 'of', 'critical', 'points']] | [-0.1295699128234873, 0.12355468195996114, -0.12221819018987863, 0.11461657700340079, 0.0002748159387586068, -0.09510101582165997, 0.02389095966913262, 0.30238277519867773, -0.28245550202566905, -0.2338278251985202, 0.1167598360536468, -0.28558907594664823, -0.1763910240142093, 0.1996357215839267, 0.06506896059370923, 0.14793099468984947, -0.030990624306153278, 0.017322366087868506, -0.09255485892253072, -0.20591496915689536, 0.3615143773910989, -0.009216728969477117, 0.2863357237882304, 0.06195355724182208, 0.07406025281537096, 0.01879348481378081, -0.05082017202310416, 0.061603707057062765, -0.12600357331601636, 0.06521787454032016, 0.20938656615492487, 0.10899240402766142, 0.21821053119195738, -0.42236481021557537, -0.217812019005912, 0.09020682779017228, 0.1608165121204885, 0.0552216542086431, 0.04854026471849113, -0.27792931133311016, 0.03935725365442281, -0.13454389625361987, -0.1717909872151759, -0.09116610410452193, 0.007242636907161499, 0.1108030479173271, -0.251885611563921, 0.12603033600108965, 0.05175373546466735, 0.09348177919354365, -0.05182393224985928, -0.08412311794426368, -0.045148967522937726, 0.23973021916902568, 0.053110951129810374, -0.03729429502724385, 0.19074257855227558, -0.19567431351740142, -0.16603457335886374, 0.35559156287119403, -0.028273391158424546, -0.20584014501085277, 0.25857772003284335, -0.17364404322959634, -0.13389719808616732, 0.09034657628959691, 0.21062854675538079, 0.08471283892511713, -0.2097807838533986, 0.046683248275016645, 0.014366296329060379, 0.1163421463885354, 0.039222954107182365, 0.05134159875368433, 0.1869370582969669, 0.15258726637278283, 0.0129367299663017, 0.12291123082134303, -0.07442710611361023, -0.16242614296402744, -0.2959718978761847, -0.13798911944601913, -0.15786458271061432, 0.05146611682186854, -0.19053949854676422, -0.18723518985836785, 0.44295018334511893, 0.13019199965388648, 0.23130780547781257, 0.07528766999211238, 0.19919827082479485, 0.13335905461429562, 0.07038931576154973, 0.014222462471498519, 0.18909810248724357, 0.12664591190310157, 0.09035663783778342, -0.2922300918084778, 0.11382954687412296, 0.07588093217233034] |
1,802.00038 | Self-similar solutions to the Navier-Stokes equations: a survey of
recent results | We survey the various constructions of forward self-similar solutions (and
generalizations of self-similar solutions) to the Navier-Stokes equations. We
also include and prove an extension of a recent result from [7].
| math.AP | we survey the various constructions of forward selfsimilar solutions and generalizations of selfsimilar solutions to the navierstokes equations we also include and prove an extension of a recent result from 7 | [['we', 'survey', 'the', 'various', 'constructions', 'of', 'forward', 'selfsimilar', 'solutions', 'and', 'generalizations', 'of', 'selfsimilar', 'solutions', 'to', 'the', 'navierstokes', 'equations', 'we', 'also', 'include', 'and', 'prove', 'an', 'extension', 'of', 'a', 'recent', 'result', 'from', '7']] | [-0.10198593428058009, 0.0012850007835602869, -0.11759621328524043, 0.08850059174602071, -0.10164367209278768, -0.058018711650924336, -0.02593638365637631, 0.2551914098402185, -0.2918497040387123, -0.23609531917158635, 0.17106359166603896, -0.3503307512690944, -0.15622310229246655, 0.23843327423016872, -0.04876008307591321, 0.11020550636514541, 0.039644984528422356, -0.07211644427790757, -0.06271323762954242, -0.23003797028814593, 0.35941508661715255, -0.030691168120791836, 0.22585607572428643, 0.04778006210202171, 0.13311948380883662, -0.09208968855560787, -0.11374218293255375, 0.039102766422494765, -0.28113380595741255, 0.08224050736715717, 0.21993918434506463, 0.13896373541454873, 0.23563433270300588, -0.43206559322894583, -0.18870254131334444, 0.07796045036746128, 0.17782799723077444, 0.18904035182053885, -0.07244211018476035, -0.30037336363907785, 0.12379441452362845, -0.21598527069774368, -0.2291154571238064, -0.053434411724728924, 0.021223210203911987, 0.13472165017118376, -0.22860364343280032, 0.04073899370644452, 0.16343064209626568, 0.046552753887109215, -0.19840744299994362, -0.0845974862215019, 0.023403714121800038, 0.009896495394528873, 0.09658030341679771, -0.0239867408489508, -0.027890404415947777, -0.15383045303244744, -0.1666565439513614, 0.3294365515692099, -0.08890707217036717, -0.2615476893561502, 0.22376601229752263, -0.10127451324895505, -0.171647809310666, 0.09752231940341692, 0.1685331733747115, 0.15279514070660358, -0.11607605465237171, 0.12457197468592635, -0.11658906047382663, 0.10345363520806836, 0.13233536280571453, -0.015034727211440764, 0.08988365939547939, 0.09369477802406877, 0.12341917756824725, 0.1807000204890726, -0.014354493949682481, -0.1360171200677512, -0.3578448201860151, -0.12934930093826785, -0.041002832623499054, 0.12895418955914437, -0.13747106050798338, -0.1651593851706674, 0.3852085639392176, 0.1724324758134542, 0.19951982292226486, 0.11238142381602477, 0.19059444759641925, 0.11386285590067986, -0.0022663374341303304, 0.10022646257834088, 0.16386284841404808, 0.19765113267086207, 0.1530241403248041, -0.09579861550892313, -0.07060781233538423, 0.1631555367381342] |
1,802.00039 | Symmetrization of Jordan dialgebras | A basic problem for any class of nonassociative algebras is to determine the polynomial identities satisfied by the symmetrization and the skew-symmetrization of the original product. We consider the symmetrization of the product in the class of special Jordan dialgebras. We use computational linear algebra to show that every polynomial identity of degree $n \le 5$ satisfied by the symmetrized Jordan diproduct in every diassociative algebra is a consequence of commutativity. We determine a complete set of generators for the polynomial identities in degree 6 which are not consequences of commutativity. We use a constructive version of the representation theory of the symmetric group to show that there exist further new identities in degree 7. | math.RA math.RT | a basic problem for any class of nonassociative algebras is to determine the polynomial identities satisfied by the symmetrization and the skewsymmetrization of the original product we consider the symmetrization of the product in the class of special jordan dialgebras we use computational linear algebra to show that every polynomial identity of degree n le 5 satisfied by the symmetrized jordan diproduct in every diassociative algebra is a consequence of commutativity we determine a complete set of generators for the polynomial identities in degree 6 which are not consequences of commutativity we use a constructive version of the representation theory of the symmetric group to show that there exist further new identities in degree 7 | [['a', 'basic', 'problem', 'for', 'any', 'class', 'of', 'nonassociative', 'algebras', 'is', 'to', 'determine', 'the', 'polynomial', 'identities', 'satisfied', 'by', 'the', 'symmetrization', 'and', 'the', 'skewsymmetrization', 'of', 'the', 'original', 'product', 'we', 'consider', 'the', 'symmetrization', 'of', 'the', 'product', 'in', 'the', 'class', 'of', 'special', 'jordan', 'dialgebras', 'we', 'use', 'computational', 'linear', 'algebra', 'to', 'show', 'that', 'every', 'polynomial', 'identity', 'of', 'degree', 'n', 'le', '5', 'satisfied', 'by', 'the', 'symmetrized', 'jordan', 'diproduct', 'in', 'every', 'diassociative', 'algebra', 'is', 'a', 'consequence', 'of', 'commutativity', 'we', 'determine', 'a', 'complete', 'set', 'of', 'generators', 'for', 'the', 'polynomial', 'identities', 'in', 'degree', '6', 'which', 'are', 'not', 'consequences', 'of', 'commutativity', 'we', 'use', 'a', 'constructive', 'version', 'of', 'the', 'representation', 'theory', 'of', 'the', 'symmetric', 'group', 'to', 'show', 'that', 'there', 'exist', 'further', 'new', 'identities', 'in', 'degree', '7']] | [-0.17269958308290528, 0.056679055969352306, -0.04636042886818557, 0.0522880129131448, -0.1111186034977436, -0.13196357292649538, -0.012783401496910854, 0.2950719134396185, -0.35216592935764274, -0.22045054632117567, 0.10464087268337607, -0.22308335361151915, -0.19457755906547866, 0.16978818694048603, -0.09956126311874908, -0.027268065641755643, 0.04989900447266257, 0.1141411150218514, -0.13837685809349237, -0.29982345031533875, 0.3783580214311571, -0.03614272137739412, 0.18942770228680708, 0.04476789489854127, 0.13333273297175766, 0.05667201417862721, -0.02249698732858119, -0.00041544379909401355, -0.14483926943566588, 0.10046599862145503, 0.24266208733796427, 0.1764002019782429, 0.23539484572475372, -0.36702807151013983, -0.07096019516010647, 0.19609746087302007, 0.11960269068975164, 0.056089080853701526, -0.028833448291634735, -0.20440369309938472, 0.12719673886692717, -0.21570228020111404, -0.17817329414107877, -0.05870921590426208, 0.06689708944734024, 0.0038566952814226567, -0.27832673111444584, 0.05130427363531097, 0.1256365725932562, 0.11279464768974677, -0.023012628313153982, -0.09462068541704313, -0.028298945018373753, 0.07198733414887734, -0.08519654619082323, -0.01183890199450695, 0.04336403306553383, -0.09046474413784301, -0.17373241016276827, 0.361637125423421, 0.006630359177032243, -0.24908272666127784, 0.10391976620556544, -0.1641130844110866, -0.24563504575913692, 0.06749002279653012, 0.07762789148837328, 0.11026539613047372, -0.10979327219943313, 0.175087937566391, -0.13623301257257875, 0.09452486040941237, 0.14288989336675276, 0.012469615710332341, 0.09013250122737626, 0.03791058934647995, 0.06846967500586407, 0.16885071166021667, 0.07414490303996464, -0.033150814757075, -0.3854011485758035, -0.21295280621751494, -0.15920401541718646, 0.11970671368977966, -0.16111846477509498, -0.14710825060534735, 0.4010575488047755, 0.1170562948545684, 0.13183740316282797, 0.11283006469779851, 0.18282500581572886, 0.129029906127202, 0.12863815214393823, 0.08066760396341914, 0.1577119329093915, 0.2257825586985311, 0.012966327920161268, -0.13422225024095616, 0.001961883876229758, 0.19591163242559717] |
1,802.0004 | A discrete Dirac-K\"{a}hler equation using a geometric discretisation
scheme | Discrete models of the Dirac-K\"{a}hler equation and the Dirac equation in
the Hestenes form are discussed. A discrete version of the plane wave solutions
to a discrete analogue of the Hestenes equation is established.
| math-ph math.MP | discrete models of the dirackahler equation and the dirac equation in the hestenes form are discussed a discrete version of the plane wave solutions to a discrete analogue of the hestenes equation is established | [['discrete', 'models', 'of', 'the', 'dirackahler', 'equation', 'and', 'the', 'dirac', 'equation', 'in', 'the', 'hestenes', 'form', 'are', 'discussed', 'a', 'discrete', 'version', 'of', 'the', 'plane', 'wave', 'solutions', 'to', 'a', 'discrete', 'analogue', 'of', 'the', 'hestenes', 'equation', 'is', 'established']] | [-0.17890887088416255, 0.06092403544222608, -0.15064706045257695, 0.12076402407974991, -0.1400111261755228, -0.09820762317737236, -0.03317971133133944, 0.23658689407303052, -0.283351610907737, -0.21331644606064348, 0.13444342936375453, -0.2945028768907137, -0.17019416545243823, 0.16765306553091197, 0.011402234640520285, 0.10804645561010522, -0.004115310887915685, 0.06057690763982999, -0.13121725665405393, -0.18647870618630857, 0.3129445861148484, -0.057245018179802334, 0.2561879172263777, -0.03370337659383521, 0.1818921407136847, -0.00901616839965915, 0.011487257776453215, -0.041642096742768496, -0.1384637938154971, 0.07515914214994102, 0.1838900437078872, 0.02954649322611444, 0.22711755127152977, -0.4001384987221921, -0.26933133511749263, 0.0758290033075301, 0.1183212765300756, 0.10902498683700447, -0.06734462323434212, -0.3635420135277159, 0.03782531406785197, -0.12138352280153948, -0.2628773602602236, 0.030321473146186155, 0.014902789693544893, 0.061576916671851105, -0.21033111767952933, 0.1356896317892653, 0.0787720825687489, -0.0364055107895504, -0.1761753612663597, -0.0847019586876473, -0.08559588835958172, -0.023293668459005216, 0.016673317199627703, 0.026685181334066915, -0.06402972543283421, -0.112435977166409, -0.111275753362433, 0.466843462028705, -0.07249733465997611, -0.36044960918233676, 0.08610925711143542, -0.0956703544156078, -0.10460003883139614, 0.09942814250312307, 0.13220821555210827, 0.12756305144113653, -0.16148195429431164, 0.20520378922981977, -0.11108387979252524, 0.0969257652759552, 0.08984771810526795, -0.047658748650813806, 0.10827901228057112, 0.09864054458654102, 0.03139845251708346, 0.13247681946000633, 0.01683682094067883, -0.20439409810419687, -0.3560385730336694, -0.2202605737154098, -0.19677173076129026, 0.09606627862590625, -0.04386657431185834, -0.2020547057995025, 0.4003636579727754, 0.05073626429828651, 0.09560366955530994, 0.005018800606622416, 0.19172488503596363, 0.2991355985731763, -0.027630459065275156, 0.060231977621750796, 0.17203726252431378, 0.2801426662789548, 0.14187600882723927, -0.1851867857416544, -0.07570564249694786, 0.20697998137021548] |
1,802.00041 | Shopping Mall Attraction and Social Mixing at a City Scale | The social inclusion aspects of shopping malls and their effects on our
understanding of urban spaces have been a controversial argument largely
discussed in the literature. Shopping malls offer an open, safe and democratic
version of the public space. Many of their detractors suggest that malls target
their customers in subtle ways, promoting social exclusion. In this work, we
analyze whether malls offer opportunities for social mixing by analyzing the
patterns of shopping mall visits in a large Latin-American city: Santiago de
Chile.
We use a large XDR (Data Detail Records) dataset from a telecommunication
company to analyze the mobility of $387,152$ cell phones around $16$ large
malls in Santiago de Chile during one month. We model the influx of people to
malls in terms of a gravity model of mobility, and we are able to predict the
customer profile distribution of each mall, explaining it in terms of mall
location, the population distribution, and mall size.
Then, we analyze the concept of social attraction, expressed as people from
low and middle classes being attracted by malls that target high-income
customers. We include a social attraction factor in our model and find that it
is negligible in the process of choosing a mall. We observe that social mixing
arises only in peripheral malls located farthest from the city center, which
both low and middle class people visit. Using a co-visitation model we show
that people tend to choose a restricted profile of malls according to their
socio-economic status and their distance from the mall. We conclude that the
potential for social mixing in malls could be capitalized by designing public
policies regarding transportation and mobility.
| cs.SI physics.soc-ph | the social inclusion aspects of shopping malls and their effects on our understanding of urban spaces have been a controversial argument largely discussed in the literature shopping malls offer an open safe and democratic version of the public space many of their detractors suggest that malls target their customers in subtle ways promoting social exclusion in this work we analyze whether malls offer opportunities for social mixing by analyzing the patterns of shopping mall visits in a large latinamerican city santiago de chile we use a large xdr data detail records dataset from a telecommunication company to analyze the mobility of 387152 cell phones around 16 large malls in santiago de chile during one month we model the influx of people to malls in terms of a gravity model of mobility and we are able to predict the customer profile distribution of each mall explaining it in terms of mall location the population distribution and mall size then we analyze the concept of social attraction expressed as people from low and middle classes being attracted by malls that target highincome customers we include a social attraction factor in our model and find that it is negligible in the process of choosing a mall we observe that social mixing arises only in peripheral malls located farthest from the city center which both low and middle class people visit using a covisitation model we show that people tend to choose a restricted profile of malls according to their socioeconomic status and their distance from the mall we conclude that the potential for social mixing in malls could be capitalized by designing public policies regarding transportation and mobility | [['the', 'social', 'inclusion', 'aspects', 'of', 'shopping', 'malls', 'and', 'their', 'effects', 'on', 'our', 'understanding', 'of', 'urban', 'spaces', 'have', 'been', 'a', 'controversial', 'argument', 'largely', 'discussed', 'in', 'the', 'literature', 'shopping', 'malls', 'offer', 'an', 'open', 'safe', 'and', 'democratic', 'version', 'of', 'the', 'public', 'space', 'many', 'of', 'their', 'detractors', 'suggest', 'that', 'malls', 'target', 'their', 'customers', 'in', 'subtle', 'ways', 'promoting', 'social', 'exclusion', 'in', 'this', 'work', 'we', 'analyze', 'whether', 'malls', 'offer', 'opportunities', 'for', 'social', 'mixing', 'by', 'analyzing', 'the', 'patterns', 'of', 'shopping', 'mall', 'visits', 'in', 'a', 'large', 'latinamerican', 'city', 'santiago', 'de', 'chile', 'we', 'use', 'a', 'large', 'xdr', 'data', 'detail', 'records', 'dataset', 'from', 'a', 'telecommunication', 'company', 'to', 'analyze', 'the', 'mobility', 'of', '387152', 'cell', 'phones', 'around', '16', 'large', 'malls', 'in', 'santiago', 'de', 'chile', 'during', 'one', 'month', 'we', 'model', 'the', 'influx', 'of', 'people', 'to', 'malls', 'in', 'terms', 'of', 'a', 'gravity', 'model', 'of', 'mobility', 'and', 'we', 'are', 'able', 'to', 'predict', 'the', 'customer', 'profile', 'distribution', 'of', 'each', 'mall', 'explaining', 'it', 'in', 'terms', 'of', 'mall', 'location', 'the', 'population', 'distribution', 'and', 'mall', 'size', 'then', 'we', 'analyze', 'the', 'concept', 'of', 'social', 'attraction', 'expressed', 'as', 'people', 'from', 'low', 'and', 'middle', 'classes', 'being', 'attracted', 'by', 'malls', 'that', 'target', 'highincome', 'customers', 'we', 'include', 'a', 'social', 'attraction', 'factor', 'in', 'our', 'model', 'and', 'find', 'that', 'it', 'is', 'negligible', 'in', 'the', 'process', 'of', 'choosing', 'a', 'mall', 'we', 'observe', 'that', 'social', 'mixing', 'arises', 'only', 'in', 'peripheral', 'malls', 'located', 'farthest', 'from', 'the', 'city', 'center', 'which', 'both', 'low', 'and', 'middle', 'class', 'people', 'visit', 'using', 'a', 'covisitation', 'model', 'we', 'show', 'that', 'people', 'tend', 'to', 'choose', 'a', 'restricted', 'profile', 'of', 'malls', 'according', 'to', 'their', 'socioeconomic', 'status', 'and', 'their', 'distance', 'from', 'the', 'mall', 'we', 'conclude', 'that', 'the', 'potential', 'for', 'social', 'mixing', 'in', 'malls', 'could', 'be', 'capitalized', 'by', 'designing', 'public', 'policies', 'regarding', 'transportation', 'and', 'mobility']] | [-0.10068709269718645, 0.11081101428748291, -0.06839587243662758, 0.10418352269892409, -0.0839100647871229, -0.13569064289945496, 0.1307655681880283, 0.39068721809028734, -0.2425817921672412, -0.33101888964014065, 0.10289107917700537, -0.3455104104843632, -0.17782948842790702, 0.15782718263539203, -0.14069333716189905, -0.0510777536755762, 0.04244243904744401, 0.036999279228056146, 0.05825708395862891, -0.26270533517351025, 0.29016976864350064, 0.049795827169940146, 0.32087988266806655, 0.06976601722114634, 0.07433737901460734, 0.0163472348199104, -0.04070140559575094, -0.0010322583723361707, -0.09893433297910743, 0.141975341196728, 0.3155899328736575, 0.18779734784870275, 0.3330137325832859, -0.40502631445261805, -0.16068671443823712, 0.0979410074446555, 0.11220595853585723, 0.057789332169831314, -0.054390016866458966, -0.3687397475182096, 0.04179102822096895, -0.23743158306981071, -0.15423912904566434, -0.018619320211648915, 0.031601552425068374, 0.04316941918737013, -0.20461686899128195, 0.030335365815067683, -0.038817549821999156, 0.11714809338456436, -0.05536706344695291, -0.09734202142260737, -0.04732585729921967, 0.25677886557673196, 0.08840737405611328, -0.05155317452412112, 0.16789493418209964, -0.16636288547913983, -0.10609033415878649, 0.4209122437499327, -0.019007466828975923, -0.10925894694815598, 0.19134712250623512, -0.14476364131013936, -0.1435930836594394, 0.037415351575383775, 0.27176661972568844, 0.07118132085481406, -0.17786618036084942, 0.04019313258346641, -0.07322099382627496, 0.12499748410029343, 0.11950197020859454, 0.0012410101412553272, 0.2031642369861585, 0.20325911766081883, 0.08856108443084047, 0.07501778069281466, -0.06415100950123435, -0.12390359974915721, -0.19283175378041717, -0.1420088875782932, -0.11953151181268577, 0.043017638757681616, -0.11087098283637332, -0.13221574695644417, 0.37383362104870627, 0.1760015114374295, 0.16964014945295894, 0.03667119746824561, 0.22545996541583796, -0.00498889120519093, 0.08127927553205454, 0.10002198226496918, 0.14693466963028132, -0.038955672489711164, 0.2044428542039729, -0.14837284677835938, 0.13555033836298838, -0.02006862057976752] |
1,802.00042 | Completely Regular Semigroups and the Discrete Log Problem | We consider an application to the discrete log problem using completely
regular semigroups which may provide a more secure symmetric cryptosystem than
the classic system based on groups. In particular we describe a scheme that
would appear to offer protection to a standard trial multiplication attack.
| math.GR | we consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups in particular we describe a scheme that would appear to offer protection to a standard trial multiplication attack | [['we', 'consider', 'an', 'application', 'to', 'the', 'discrete', 'log', 'problem', 'using', 'completely', 'regular', 'semigroups', 'which', 'may', 'provide', 'a', 'more', 'secure', 'symmetric', 'cryptosystem', 'than', 'the', 'classic', 'system', 'based', 'on', 'groups', 'in', 'particular', 'we', 'describe', 'a', 'scheme', 'that', 'would', 'appear', 'to', 'offer', 'protection', 'to', 'a', 'standard', 'trial', 'multiplication', 'attack']] | [-0.14654046354521794, 0.02260476507976621, -0.1446228676840015, 0.1192223914777455, -0.09129549615571032, -0.24117970491921448, 0.08830430397622126, 0.3695473456350358, -0.2741860861728049, -0.23386275432194056, 0.16537779548114329, -0.2208162432320735, -0.16583952941405383, 0.25983552908038965, -0.15921330038944018, 0.025684860049058563, -0.02539441295211082, 0.025325689688147773, -0.11605984093520143, -0.29937795066507533, 0.33481510979649814, 0.02992136656995053, 0.26554218613360403, 0.0020337361012302017, 0.028429685454086764, 0.024351043257173962, -0.01846909365090339, -0.03592527273070553, -0.08439334116590781, 0.13239011333739062, 0.26456307220454933, 0.14009100922545337, 0.27319887199479603, -0.4215947914180224, -0.17614962041135068, 0.16878020222825202, 0.1432454174424967, 0.139138780724075, -0.1162237066199178, -0.2521184347772404, 0.1288927220283886, -0.24251396316306098, -0.13032440795644146, -0.08158589152457274, -0.033111942648563694, -0.04005904635414481, -0.29865737676458515, -0.0009305226090161697, 0.04871873554530675, 0.028846319926821667, 0.005470845504137485, -0.054966284739076283, 0.0545015051940699, 0.0672171501564267, -0.04133572853828335, -0.010914234738068088, 0.11798302528610372, -0.03583679574987163, -0.17671766709131392, 0.4243275038897991, -0.021023095435141484, -0.2252439279716624, 0.1731837633845356, -0.05517617319508091, -0.13879036818347548, 0.09149125457295905, 0.2259057790202939, 0.14003474323038498, -0.09640988768280848, 0.03156669320457656, -0.10905321450580073, 0.2215614672623696, 0.04152870222258017, 0.041659925973204816, 0.10919050046789419, 0.12585782445461044, 0.13389694301978403, 0.1602055223395481, -0.01437744858381136, -0.10903420056337895, -0.2627337240897443, -0.1458771044752844, -0.10930907897873902, 0.10287907697341364, -0.006624574327598448, -0.20854172520035796, 0.3835523254215134, 0.16288166980350227, 0.15047490592722013, 0.09072430976717126, 0.2856186685840721, 0.08747486537322402, 0.05496082821375002, 0.10405623364140806, 0.13189277397063764, 0.06429820916736903, 0.02812592176032131, -0.1155665550208853, 0.05375986774932877, 0.11998603559787506] |
1,802.00043 | Incremental kernel PCA and the Nystr\"om method | Incremental versions of batch algorithms are often desired, for increased
time efficiency in the streaming data setting, or increased memory efficiency
in general. In this paper we present a novel algorithm for incremental kernel
PCA, based on rank one updates to the eigendecomposition of the kernel matrix,
which is more computationally efficient than comparable existing algorithms. We
extend our algorithm to incremental calculation of the Nystr\"om approximation
to the kernel matrix, the first such algorithm proposed. Incremental
calculation of the Nystr\"om approximation leads to further gains in memory
efficiency, and allows for empirical evaluation of when a subset of sufficient
size has been obtained.
| stat.ML cs.LG | incremental versions of batch algorithms are often desired for increased time efficiency in the streaming data setting or increased memory efficiency in general in this paper we present a novel algorithm for incremental kernel pca based on rank one updates to the eigendecomposition of the kernel matrix which is more computationally efficient than comparable existing algorithms we extend our algorithm to incremental calculation of the nystrom approximation to the kernel matrix the first such algorithm proposed incremental calculation of the nystrom approximation leads to further gains in memory efficiency and allows for empirical evaluation of when a subset of sufficient size has been obtained | [['incremental', 'versions', 'of', 'batch', 'algorithms', 'are', 'often', 'desired', 'for', 'increased', 'time', 'efficiency', 'in', 'the', 'streaming', 'data', 'setting', 'or', 'increased', 'memory', 'efficiency', 'in', 'general', 'in', 'this', 'paper', 'we', 'present', 'a', 'novel', 'algorithm', 'for', 'incremental', 'kernel', 'pca', 'based', 'on', 'rank', 'one', 'updates', 'to', 'the', 'eigendecomposition', 'of', 'the', 'kernel', 'matrix', 'which', 'is', 'more', 'computationally', 'efficient', 'than', 'comparable', 'existing', 'algorithms', 'we', 'extend', 'our', 'algorithm', 'to', 'incremental', 'calculation', 'of', 'the', 'nystrom', 'approximation', 'to', 'the', 'kernel', 'matrix', 'the', 'first', 'such', 'algorithm', 'proposed', 'incremental', 'calculation', 'of', 'the', 'nystrom', 'approximation', 'leads', 'to', 'further', 'gains', 'in', 'memory', 'efficiency', 'and', 'allows', 'for', 'empirical', 'evaluation', 'of', 'when', 'a', 'subset', 'of', 'sufficient', 'size', 'has', 'been', 'obtained']] | [-0.06351035305068273, -0.03385291306655675, -0.09471603750716895, 0.05614426527888729, -0.10518326013698243, -0.13720266899774566, 0.08738851925367132, 0.45167656425529945, -0.25155440205708146, -0.28827194722655874, 0.12127906926280747, -0.21765577220237622, -0.16197904684052516, 0.1895744958780527, -0.09472408086115208, 0.14106489072303072, 0.13454460060725418, 0.020736239870669894, -0.09870677470910148, -0.31194040628794867, 0.25253605855798994, 0.129945585056423, 0.29840233547684664, 0.02029016866044213, 0.10669748354009173, 0.008987810012023636, -0.07097676524650663, 0.010552604736473698, -0.05068088571827572, 0.17144699512461486, 0.27146354790490407, 0.18570131286665295, 0.34703190266512907, -0.44234684038047606, -0.1624827711001182, 0.13452838132910144, 0.1867597837358167, 0.10832262677118146, -0.022846141180427645, -0.21780987840835364, 0.14155676752293053, -0.1839655955823568, -0.03817412777033706, -0.17052491055577634, -0.01777979317725672, -0.01183481179535962, -0.34725202005267, 0.06867323973878789, 0.08009868371300399, -0.014587251482925449, -0.04906753786725368, -0.18057693517654955, 0.12430654064295456, 0.026662189639095092, 0.02121562313942167, 0.019379564404236868, 0.09600757239296889, -0.07524359894047777, -0.1328344036054869, 0.3402356064448563, -0.07462970524550026, -0.20990596679061688, 0.16516312003323735, -0.024529328936925873, -0.13780329182582834, 0.15429978808746314, 0.24579393570400918, 0.1419058052485455, -0.12618046631667731, 0.09212617900685963, -0.010575188471613308, 0.15231785717277, 0.02673462510126858, 0.008165870128812877, -0.00240209862554016, 0.2222116369588408, 0.1333819439706321, 0.16526864499498445, -0.05519423029125811, -0.10524880874436349, -0.20956427077852333, -0.17215336261926076, -0.23292026927587217, -0.04408565847832226, -0.1966683316634142, -0.1859510972057111, 0.39967258679322326, 0.2161402930953325, 0.1779992116185335, 0.12425658556458075, 0.39380973391234875, 0.12533417827049, 0.09676336273640537, 0.16250586190457958, 0.17486643768363416, 0.08967377162144448, 0.11060155120839436, -0.21665137143393692, 0.11277756785364965, 0.13264597029550573] |
1,802.00044 | SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice | We study the effective spin-orbital model that describes the magnetism of
4$d^1$ or 5$d^1$ Mott insulators in ideal tricoordinated lattices. In the limit
of vanishing Hund's coupling, the model has an emergent SU(4) symmetry which is
made explicit by means of a Klein transformation on pseudospin degrees of
freedom. Taking the hyperhoneycomb lattice as an example, we employ parton
constructions with fermionic representations of the pseudospin operators to
investigate possible quantum spin-orbital liquid states. We then use
variational Monte Carlo (VMC) methods to compute the energies of the projected
wave functions. Our numerical results show that the lowest-energy quantum
liquid corresponds to a zero-flux state with a Fermi surface of four-color
fermionic partons. In spite of the Fermi surface, we demonstrate that this
state is stable against tetramerization. A combination of linear flavor wave
theory and VMC applied to the complete microscopic model also shows that this
liquid state is stable against the formation of collinear long-range order.
| cond-mat.str-el | we study the effective spinorbital model that describes the magnetism of 4d1 or 5d1 mott insulators in ideal tricoordinated lattices in the limit of vanishing hunds coupling the model has an emergent su4 symmetry which is made explicit by means of a klein transformation on pseudospin degrees of freedom taking the hyperhoneycomb lattice as an example we employ parton constructions with fermionic representations of the pseudospin operators to investigate possible quantum spinorbital liquid states we then use variational monte carlo vmc methods to compute the energies of the projected wave functions our numerical results show that the lowestenergy quantum liquid corresponds to a zeroflux state with a fermi surface of fourcolor fermionic partons in spite of the fermi surface we demonstrate that this state is stable against tetramerization a combination of linear flavor wave theory and vmc applied to the complete microscopic model also shows that this liquid state is stable against the formation of collinear longrange order | [['we', 'study', 'the', 'effective', 'spinorbital', 'model', 'that', 'describes', 'the', 'magnetism', 'of', '4d1', 'or', '5d1', 'mott', 'insulators', 'in', 'ideal', 'tricoordinated', 'lattices', 'in', 'the', 'limit', 'of', 'vanishing', 'hunds', 'coupling', 'the', 'model', 'has', 'an', 'emergent', 'su4', 'symmetry', 'which', 'is', 'made', 'explicit', 'by', 'means', 'of', 'a', 'klein', 'transformation', 'on', 'pseudospin', 'degrees', 'of', 'freedom', 'taking', 'the', 'hyperhoneycomb', 'lattice', 'as', 'an', 'example', 'we', 'employ', 'parton', 'constructions', 'with', 'fermionic', 'representations', 'of', 'the', 'pseudospin', 'operators', 'to', 'investigate', 'possible', 'quantum', 'spinorbital', 'liquid', 'states', 'we', 'then', 'use', 'variational', 'monte', 'carlo', 'vmc', 'methods', 'to', 'compute', 'the', 'energies', 'of', 'the', 'projected', 'wave', 'functions', 'our', 'numerical', 'results', 'show', 'that', 'the', 'lowestenergy', 'quantum', 'liquid', 'corresponds', 'to', 'a', 'zeroflux', 'state', 'with', 'a', 'fermi', 'surface', 'of', 'fourcolor', 'fermionic', 'partons', 'in', 'spite', 'of', 'the', 'fermi', 'surface', 'we', 'demonstrate', 'that', 'this', 'state', 'is', 'stable', 'against', 'tetramerization', 'a', 'combination', 'of', 'linear', 'flavor', 'wave', 'theory', 'and', 'vmc', 'applied', 'to', 'the', 'complete', 'microscopic', 'model', 'also', 'shows', 'that', 'this', 'liquid', 'state', 'is', 'stable', 'against', 'the', 'formation', 'of', 'collinear', 'longrange', 'order']] | [-0.15673138720813778, 0.20221579566916975, -0.08736109680678884, 0.0763664780209678, -0.02284982844765734, -0.11687463348071221, 0.06164198186870405, 0.35216418428558716, -0.2296628241892904, -0.22382036654891657, 0.007177052327543733, -0.3052074502522857, -0.1344527984760065, 0.10007359412988011, 0.0462259111901645, 0.03896391065405577, 0.019600921453424743, -0.03646195411116262, -0.14588894708932354, -0.24258905275182538, 0.3134991574024522, 0.01854364245487495, 0.27856751626263127, 0.08546722751653081, 0.11533320001680168, 0.05862988878772417, 0.11512523942296923, -0.027144952422255484, -0.15365525774891295, 0.09486506929100916, 0.24292233067600033, -0.05178177081449311, 0.16180109805751686, -0.44206072244486666, -0.1962014945338869, 0.0306882092823522, 0.111833462831299, 0.20870192915339705, -0.0201584017677881, -0.3121094946584464, -0.007952724284303811, -0.23649845162076474, -0.21021352259477577, -0.17586016422137618, -0.047498797653007165, -0.039083963397653076, -0.2254201006969508, 0.07494220998671176, 0.044956392282914794, 0.06998155240110959, -0.06055368854343019, -0.12752222110033978, -0.10038039646674349, 0.028066698755019732, 0.04043394764973723, 0.05728243839119478, 0.06724271647811902, -0.1585501771084257, -0.1637709872985754, 0.40082922980448676, -0.06347091573318525, -0.18071235559698007, 0.18708866528129275, -0.1242246721094604, -0.09796504667647701, 0.14183247557994497, 0.10711211108755839, 0.10684001925578222, -0.10561409553135687, 0.12631813234530237, -0.08977904015856565, 0.17238946834540797, -0.018232525638717263, 0.05611971067559399, 0.22991167009466246, 0.17600831725115923, 0.0683116051073693, 0.1685971832094431, -0.11071547017297545, -0.16635988923003367, -0.2965745557736181, -0.17738069705311446, -0.2516606901359709, 0.07696890616491053, -0.05733479390610113, -0.1845580994923705, 0.41581416839757296, 0.14792918577669426, 0.13159114663998872, -0.022329426316774297, 0.22131332094910777, 0.09964490021598124, 0.030083715564960353, 0.05495221835017334, 0.23949767369776964, 0.16901844821552026, 0.006348741108174377, -0.3011174971146415, -0.01546273273975836, 0.11531346715409073] |
1,802.00045 | Composite Gaussian Processes: Scalable Computation and Performance
Analysis | Gaussian process (GP) models provide a powerful tool for prediction but are
computationally prohibitive using large data sets. In such scenarios, one has
to resort to approximate methods. We derive an approximation based on a
composite likelihood approach using a general belief updating framework, which
leads to a recursive computation of the predictor as well as of learning the
hyper-parameters. We then provide an analysis of the derived composite GP model
in predictive and information-theoretic terms. Finally, we evaluate the
approximation with both synthetic data and a real-world application.
| stat.ML | gaussian process gp models provide a powerful tool for prediction but are computationally prohibitive using large data sets in such scenarios one has to resort to approximate methods we derive an approximation based on a composite likelihood approach using a general belief updating framework which leads to a recursive computation of the predictor as well as of learning the hyperparameters we then provide an analysis of the derived composite gp model in predictive and informationtheoretic terms finally we evaluate the approximation with both synthetic data and a realworld application | [['gaussian', 'process', 'gp', 'models', 'provide', 'a', 'powerful', 'tool', 'for', 'prediction', 'but', 'are', 'computationally', 'prohibitive', 'using', 'large', 'data', 'sets', 'in', 'such', 'scenarios', 'one', 'has', 'to', 'resort', 'to', 'approximate', 'methods', 'we', 'derive', 'an', 'approximation', 'based', 'on', 'a', 'composite', 'likelihood', 'approach', 'using', 'a', 'general', 'belief', 'updating', 'framework', 'which', 'leads', 'to', 'a', 'recursive', 'computation', 'of', 'the', 'predictor', 'as', 'well', 'as', 'of', 'learning', 'the', 'hyperparameters', 'we', 'then', 'provide', 'an', 'analysis', 'of', 'the', 'derived', 'composite', 'gp', 'model', 'in', 'predictive', 'and', 'informationtheoretic', 'terms', 'finally', 'we', 'evaluate', 'the', 'approximation', 'with', 'both', 'synthetic', 'data', 'and', 'a', 'realworld', 'application']] | [0.005025182408542278, -0.05802631607047659, -0.11831908700516804, 0.1354577041348533, -0.08436723795374122, -0.16514327855822578, 0.0894801504975394, 0.39927997881693117, -0.2565816151935691, -0.3320719223689246, 0.13181189295729187, -0.20162978503078724, -0.2081228605356444, 0.21873362508884978, -0.03379231242670971, 0.11220538088256556, 0.0779819007926317, 0.017741820911662338, -0.08037551326070273, -0.24659734906817085, 0.2836073087528348, 0.0516957879861754, 0.3113668425783013, 0.005082195394494561, 0.1328210219651921, 0.026272415769485274, -0.03086011598849397, 0.014064541934162712, -0.09778685659939276, 0.18454579042605637, 0.2696003967422676, 0.22687701367658009, 0.32083765224794325, -0.4213200187247791, -0.2206524886149034, 0.11593532467030743, 0.15318175564844455, 0.13314779095346463, -0.029632889306606996, -0.2579087332477061, 0.06315599767009863, -0.20002917878413468, -0.08793541722606575, -0.20495543127691143, -0.06417863347222295, -0.003436114288489805, -0.3883022383022844, 0.0386231431941596, 0.01914699186094817, 0.060286871241300964, -0.034198641821511847, -0.1278309417467334, 0.05187600160153646, 0.08651851523625717, 0.038256503776006215, 0.007893037825320543, 0.088314842035094, -0.11522343192500353, -0.16185376916101643, 0.3824423499970456, -0.10433357163251304, -0.25980318827408083, 0.1948823223016068, 0.014937804122403097, -0.1459439430239328, 0.0818110682551613, 0.2597844254204564, 0.13980760681704524, -0.18600572278890548, 0.07602560190415909, -0.0413803585668963, 0.1264779287432268, -0.03724127867143978, -0.014264297223613293, 0.15646390896552148, 0.2411541560915916, 0.03246800838760362, 0.15688333559906883, -0.12638909181088126, -0.12300154156564327, -0.2696392931399888, -0.11907558075120944, -0.20253546079463755, -0.004454434084120008, -0.14544081086720592, -0.2296413720135441, 0.35736695715759914, 0.19246297057069253, 0.21631348690834273, 0.1318392979956933, 0.35382166640895807, 0.15440550531271133, 0.03644747364470798, 0.09936661056106848, 0.18199213097667258, 0.10548289037529338, 0.02785547020625365, -0.12362246597290374, 0.10153815583482886, 0.030834384293954693] |
1,802.00046 | Structure of the orbital excited $N^*$ from the Schwinger-Dyson
equations | We present progress in the evaluation of $\gamma^* N \rightarrow N^*(1535)$
transition form factors in a quark-diquark picture of these baryons. Our
analysis is based upon the fully-consistent treatment of a vector $\times$
vector contact interaction, embedded in the interlaced formalism of
Schwinger-Dyson and Bethe-Salpeter equations.
| nucl-th hep-ph | we present progress in the evaluation of gamma n rightarrow n1535 transition form factors in a quarkdiquark picture of these baryons our analysis is based upon the fullyconsistent treatment of a vector times vector contact interaction embedded in the interlaced formalism of schwingerdyson and bethesalpeter equations | [['we', 'present', 'progress', 'in', 'the', 'evaluation', 'of', 'gamma', 'n', 'rightarrow', 'n1535', 'transition', 'form', 'factors', 'in', 'a', 'quarkdiquark', 'picture', 'of', 'these', 'baryons', 'our', 'analysis', 'is', 'based', 'upon', 'the', 'fullyconsistent', 'treatment', 'of', 'a', 'vector', 'times', 'vector', 'contact', 'interaction', 'embedded', 'in', 'the', 'interlaced', 'formalism', 'of', 'schwingerdyson', 'and', 'bethesalpeter', 'equations']] | [-0.1656446249993599, 0.15248781108580853, -0.1019445945630255, 0.03784290986874586, -0.05655123992904049, -0.05874164260761893, 0.08874425957607024, 0.3579001066315433, -0.11097469107936257, -0.20239214558640253, -0.06355251668213421, -0.3043403615770133, -0.15909582992469, 0.053024352558524064, 0.13135666532806403, 0.05223627055681351, 0.07323756352897086, 0.05116517599368387, -0.10796579496894518, -0.17820197499721593, 0.3445764404377374, -0.06001586667464479, 0.24223806587574276, 0.08085424525653133, 0.01487511433357292, 0.0681879916936969, -0.017996215747426384, -0.06742449306994272, -0.13184230679484166, 0.10285733358772553, 0.2251941520713128, 0.10704373669527147, 0.2037767694665767, -0.43008478905033803, -0.16391708432575283, 0.027405929240479094, 0.2133193692728958, 0.10341954381083665, -0.0074140071747419625, -0.3496857602756632, 0.02406898192534952, -0.16199420072624218, -0.16283991114924784, -0.09950718275554803, 0.03190308092566936, -0.02796393306925893, -0.2794684308945485, 0.07095809321364631, 0.056919611119867666, -0.008235455915817747, -0.07597802762630516, -0.20871501432164855, 0.021375590201426785, 0.07050396279310403, 0.0347009234474567, 0.1349354255033414, 0.1312208949567993, -0.1730289020292137, -0.09251621491073267, 0.3981536328792572, -0.0985948013384705, -0.24191800709915065, 0.09024452434791981, -0.13278785229498602, -0.16011551010381916, 0.1618315778348757, 0.22393870487323272, 0.11635866688321465, -0.18862636433914304, 0.15206463617632043, -0.05142242850168892, 0.14137233668209417, 0.04174523496919352, -0.003576385606404232, 0.1330741105965622, 0.2158233618323246, -0.08972094234322077, 0.05504362644506213, 0.011305072547301002, -0.1483278909455175, -0.38870887446176744, -0.15507286342574883, -0.11160156329202911, 0.13625676817837698, -0.09993167564686661, -0.16108150572677993, 0.3332451745695637, 0.07267260944227809, 0.21893596936665152, 0.021608300375468705, 0.30043449391529936, 0.15093570961060165, 0.04814590983416723, 0.05586211212262835, 0.21656371855541415, 0.22810110652252383, 0.06793189583265263, -0.27293438202215603, 0.0037407124738978305, 0.13183256125320558] |
1,802.00047 | Matrix completion with deterministic pattern - a geometric perspective | We consider the matrix completion problem with a deterministic pattern of
observed entries. In this setting, we aim to answer the question: under what
condition there will be (at least locally) unique solution to the matrix
completion problem, i.e., the underlying true matrix is identifiable. We answer
the question from a certain point of view and outline a geometric perspective.
We give an algebraically verifiable sufficient condition, which we call the
well-posedness condition, for the local uniqueness of MRMC solutions. We argue
that this condition is necessary for local stability of MRMC solutions, and we
show that the condition is generic using the characteristic rank. We also argue
that the low-rank approximation approaches are more stable than MRMC and
further propose a sequential statistical testing procedure to determine the
"true" rank from observed entries. Finally, we provide numerical examples aimed
at verifying validity of the presented theory.
| cs.LG math.ST stat.ML stat.TH | we consider the matrix completion problem with a deterministic pattern of observed entries in this setting we aim to answer the question under what condition there will be at least locally unique solution to the matrix completion problem ie the underlying true matrix is identifiable we answer the question from a certain point of view and outline a geometric perspective we give an algebraically verifiable sufficient condition which we call the wellposedness condition for the local uniqueness of mrmc solutions we argue that this condition is necessary for local stability of mrmc solutions and we show that the condition is generic using the characteristic rank we also argue that the lowrank approximation approaches are more stable than mrmc and further propose a sequential statistical testing procedure to determine the true rank from observed entries finally we provide numerical examples aimed at verifying validity of the presented theory | [['we', 'consider', 'the', 'matrix', 'completion', 'problem', 'with', 'a', 'deterministic', 'pattern', 'of', 'observed', 'entries', 'in', 'this', 'setting', 'we', 'aim', 'to', 'answer', 'the', 'question', 'under', 'what', 'condition', 'there', 'will', 'be', 'at', 'least', 'locally', 'unique', 'solution', 'to', 'the', 'matrix', 'completion', 'problem', 'ie', 'the', 'underlying', 'true', 'matrix', 'is', 'identifiable', 'we', 'answer', 'the', 'question', 'from', 'a', 'certain', 'point', 'of', 'view', 'and', 'outline', 'a', 'geometric', 'perspective', 'we', 'give', 'an', 'algebraically', 'verifiable', 'sufficient', 'condition', 'which', 'we', 'call', 'the', 'wellposedness', 'condition', 'for', 'the', 'local', 'uniqueness', 'of', 'mrmc', 'solutions', 'we', 'argue', 'that', 'this', 'condition', 'is', 'necessary', 'for', 'local', 'stability', 'of', 'mrmc', 'solutions', 'and', 'we', 'show', 'that', 'the', 'condition', 'is', 'generic', 'using', 'the', 'characteristic', 'rank', 'we', 'also', 'argue', 'that', 'the', 'lowrank', 'approximation', 'approaches', 'are', 'more', 'stable', 'than', 'mrmc', 'and', 'further', 'propose', 'a', 'sequential', 'statistical', 'testing', 'procedure', 'to', 'determine', 'the', 'true', 'rank', 'from', 'observed', 'entries', 'finally', 'we', 'provide', 'numerical', 'examples', 'aimed', 'at', 'verifying', 'validity', 'of', 'the', 'presented', 'theory']] | [-0.13050071543025576, 0.03806840766272365, -0.09121451210737432, 0.11857451165655666, -0.07448931378597508, -0.17111267046179293, 0.05067268588982497, 0.36697277460931516, -0.30418682418966375, -0.228720937824656, 0.15761389073062068, -0.21545707849709658, -0.21424478854426518, 0.13028654744088344, -0.08494062847885474, 0.057444268666511894, 0.07865848123621778, 0.05731769173970718, -0.0970043297524431, -0.2799410698887873, 0.3615984629972705, 0.036444466497723746, 0.2683476220917742, 0.07742200057112555, 0.11583370268566623, -0.0031755050037651747, -0.009388632830042315, 0.042928339759850886, -0.17804141857634184, 0.09149019512012094, 0.2652867511928487, 0.2151191087857801, 0.29262618451905087, -0.4216211532071537, -0.1339568455899958, 0.1602137637432335, 0.0946347873252468, 0.12431904455713395, -0.0653805652825157, -0.2519606027029911, 0.19827713222689547, -0.11242847173113604, -0.17110275383642717, -0.09569566685636686, -0.0330151155524488, -0.07037090963753713, -0.33567876055785995, 0.05066915944224179, 0.09082025489421422, 0.06189761048524964, -0.10205430137848824, -0.07429620706108811, 0.07963980278190301, 0.08025364184967515, 0.04490890730692652, -0.0295803926657049, 0.060463791985546245, -0.10803424960103672, -0.07497653810522792, 0.36649770654585895, -0.029554818542361368, -0.22044810317266655, 0.17334715586763863, -0.11188044757613926, -0.14780288142291512, 0.08941083975757162, 0.13346473479383708, 0.12642419421261328, -0.1401611852212524, 0.10532682310975137, -0.12540597308325727, 0.15698732178183875, 0.049334522309795424, 0.010654672641357799, 0.15024710290108612, 0.13330793532156418, 0.15134860805178785, 0.13900488149295528, -0.024321213142857664, -0.05588747621799002, -0.346145967591782, -0.13648691501462085, -0.1546475926832277, 0.08793375296771627, -0.07210321062639258, -0.15361826534883505, 0.3990192531931157, 0.21028435149793925, 0.19532372000418147, 0.11425373746718907, 0.2569856468562772, 0.12027503770331022, -0.030918554969917553, 0.10167929424815589, 0.176506286651707, 0.13530656660678891, 0.07125067419115515, -0.15980269706358208, 0.08705242608711884, 0.12306003276968286] |
1,802.00048 | Deceptive Games | Deceptive games are games where the reward structure or other aspects of the
game are designed to lead the agent away from a globally optimal policy. While
many games are already deceptive to some extent, we designed a series of games
in the Video Game Description Language (VGDL) implementing specific types of
deception, classified by the cognitive biases they exploit. VGDL games can be
run in the General Video Game Artificial Intelligence (GVGAI) Framework, making
it possible to test a variety of existing AI agents that have been submitted to
the GVGAI Competition on these deceptive games. Our results show that all
tested agents are vulnerable to several kinds of deception, but that different
agents have different weaknesses. This suggests that we can use deception to
understand the capabilities of a game-playing algorithm, and game-playing
algorithms to characterize the deception displayed by a game.
| cs.AI | deceptive games are games where the reward structure or other aspects of the game are designed to lead the agent away from a globally optimal policy while many games are already deceptive to some extent we designed a series of games in the video game description language vgdl implementing specific types of deception classified by the cognitive biases they exploit vgdl games can be run in the general video game artificial intelligence gvgai framework making it possible to test a variety of existing ai agents that have been submitted to the gvgai competition on these deceptive games our results show that all tested agents are vulnerable to several kinds of deception but that different agents have different weaknesses this suggests that we can use deception to understand the capabilities of a gameplaying algorithm and gameplaying algorithms to characterize the deception displayed by a game | [['deceptive', 'games', 'are', 'games', 'where', 'the', 'reward', 'structure', 'or', 'other', 'aspects', 'of', 'the', 'game', 'are', 'designed', 'to', 'lead', 'the', 'agent', 'away', 'from', 'a', 'globally', 'optimal', 'policy', 'while', 'many', 'games', 'are', 'already', 'deceptive', 'to', 'some', 'extent', 'we', 'designed', 'a', 'series', 'of', 'games', 'in', 'the', 'video', 'game', 'description', 'language', 'vgdl', 'implementing', 'specific', 'types', 'of', 'deception', 'classified', 'by', 'the', 'cognitive', 'biases', 'they', 'exploit', 'vgdl', 'games', 'can', 'be', 'run', 'in', 'the', 'general', 'video', 'game', 'artificial', 'intelligence', 'gvgai', 'framework', 'making', 'it', 'possible', 'to', 'test', 'a', 'variety', 'of', 'existing', 'ai', 'agents', 'that', 'have', 'been', 'submitted', 'to', 'the', 'gvgai', 'competition', 'on', 'these', 'deceptive', 'games', 'our', 'results', 'show', 'that', 'all', 'tested', 'agents', 'are', 'vulnerable', 'to', 'several', 'kinds', 'of', 'deception', 'but', 'that', 'different', 'agents', 'have', 'different', 'weaknesses', 'this', 'suggests', 'that', 'we', 'can', 'use', 'deception', 'to', 'understand', 'the', 'capabilities', 'of', 'a', 'gameplaying', 'algorithm', 'and', 'gameplaying', 'algorithms', 'to', 'characterize', 'the', 'deception', 'displayed', 'by', 'a', 'game']] | [-0.09266744572798619, 0.029789844587665155, -0.11671734093235703, 0.1412271480811695, -0.12100185432548945, -0.22900700291372938, 0.05214116356526372, 0.44774551417989034, -0.2678940024310982, -0.34180853835358804, 0.09063561474451692, -0.2649504847358912, -0.2281149121683686, 0.13554707219170975, -0.1588831058729233, 0.01851317899612089, 0.06393732245406783, 0.0507737606304646, 0.08619633808727183, -0.358588859146241, 0.3267237838461167, -0.0024032247860709, 0.23853932013864526, 0.016257790169523407, 0.07535431219589049, -0.044209471978117816, -0.006891936592486066, 0.08478944150394657, -0.08660563229063377, 0.09461208332019548, 0.3825944695660534, 0.24940797025268088, 0.40224339846786783, -0.4350009969784878, -0.1811413900674476, 0.13887711040378134, 0.11102408283881636, 0.13325945471297018, -0.02227096932943419, -0.368360534523769, 0.09739731524475953, -0.21035527680133884, -0.015018611693651311, -0.11515153650220276, -0.030653747762294695, 0.05479996301680027, -0.250619350506895, -0.10283633292419836, 0.0362801941874851, 0.07292206501976277, -0.03433629394567106, -0.1285584993109094, 0.041795238799143895, 0.23565883891650527, 0.04057303905008464, -0.024557499813252233, 0.1702677496489034, -0.1904061247817784, -0.2602287841113543, 0.39155085335692597, -0.008594351180363446, -0.15698340194325688, 0.23604589793507735, -0.029971245462850977, -0.15353903788491152, 0.09105344743713634, 0.216922549433851, 0.11159922262110437, -0.16903849593533474, 0.007730722200600819, -0.061952314514201134, 0.17672047251835465, 0.056418769287120085, 0.02265361766209632, 0.18440768370378968, 0.15001200710604382, 0.09851466017466413, 0.0940005045344555, 0.03083146355574071, -0.19150856807270125, -0.19126255340638132, -0.07789190693034066, -0.10926234076113259, -0.010035662581988921, -0.052829621579500476, -0.10471355500486526, 0.3685440354100946, 0.21712831108834507, 0.08525243183572052, 0.0902053562976006, 0.2879117959075504, 0.012148436188807763, 0.05433067853058068, 0.0705597473845248, 0.2052227735429268, -0.009957007116301812, 0.1667996155883884, -0.1879066251163345, 0.143408626625185, -0.008463827026490536] |
1,802.00049 | Probing Planets in Extragalactic Galaxies Using Quasar Microlensing | Previously, planets have been detected only in the Milky Way galaxy. Here, we
show that quasar microlensing provides a means to probe extragalactic planets
in the lens galaxy, by studying the microlensing properties of emission close
to the event horizon of the supermassive black hole of the background quasar,
using the current generation telescopes. We show that a population of unbound
planets between stars with masses ranging from Moon to Jupiter masses is needed
to explain the frequent Fek line energy shifts observed in the gravitationally
lensed quasar RXJ1131-1231 at a lens redshift of $z=0.295$ or 3.8 billion
light-years away. We constrain the planet mass fraction to be larger than
0.0001 of the halo mass, which is equivalent to 2,000 objects ranging from Moon
to Jupiter mass per main sequence star.
| astro-ph.GA astro-ph.EP | previously planets have been detected only in the milky way galaxy here we show that quasar microlensing provides a means to probe extragalactic planets in the lens galaxy by studying the microlensing properties of emission close to the event horizon of the supermassive black hole of the background quasar using the current generation telescopes we show that a population of unbound planets between stars with masses ranging from moon to jupiter masses is needed to explain the frequent fek line energy shifts observed in the gravitationally lensed quasar rxj11311231 at a lens redshift of z0295 or 38 billion lightyears away we constrain the planet mass fraction to be larger than 00001 of the halo mass which is equivalent to 2000 objects ranging from moon to jupiter mass per main sequence star | [['previously', 'planets', 'have', 'been', 'detected', 'only', 'in', 'the', 'milky', 'way', 'galaxy', 'here', 'we', 'show', 'that', 'quasar', 'microlensing', 'provides', 'a', 'means', 'to', 'probe', 'extragalactic', 'planets', 'in', 'the', 'lens', 'galaxy', 'by', 'studying', 'the', 'microlensing', 'properties', 'of', 'emission', 'close', 'to', 'the', 'event', 'horizon', 'of', 'the', 'supermassive', 'black', 'hole', 'of', 'the', 'background', 'quasar', 'using', 'the', 'current', 'generation', 'telescopes', 'we', 'show', 'that', 'a', 'population', 'of', 'unbound', 'planets', 'between', 'stars', 'with', 'masses', 'ranging', 'from', 'moon', 'to', 'jupiter', 'masses', 'is', 'needed', 'to', 'explain', 'the', 'frequent', 'fek', 'line', 'energy', 'shifts', 'observed', 'in', 'the', 'gravitationally', 'lensed', 'quasar', 'rxj11311231', 'at', 'a', 'lens', 'redshift', 'of', 'z0295', 'or', '38', 'billion', 'lightyears', 'away', 'we', 'constrain', 'the', 'planet', 'mass', 'fraction', 'to', 'be', 'larger', 'than', '00001', 'of', 'the', 'halo', 'mass', 'which', 'is', 'equivalent', 'to', '2000', 'objects', 'ranging', 'from', 'moon', 'to', 'jupiter', 'mass', 'per', 'main', 'sequence', 'star']] | [-0.053656511774617964, 0.12557428123142858, -0.042956635237743075, 0.1337437216376062, -0.16044019558825173, -0.032003098998505335, 0.04302535502043051, 0.3786440071506569, -0.11647638575030635, -0.40365125871836566, 0.007038436736016033, -0.33824102927285893, 0.00037181704269292264, 0.24250337475588402, -0.05674070896795736, 0.014300392606618027, 0.0942122485434923, -0.07596969615954619, -0.017229987094245957, -0.2893151367584673, 0.3152484186566793, 0.08597343247383833, 0.012385718159091013, -0.04459841998938758, 0.10653965270433288, -0.10382834271205446, -0.05629250911207726, -0.04774001376846662, -0.18633487008281427, 0.027488753099281053, 0.24045567581286797, 0.17001652218616353, 0.18636442351943025, -0.28986626652857433, -0.2019847858697176, 0.0904117167246743, 0.20429189992495456, 0.08360892213106406, -0.07958559681159946, -0.3268667063998202, 0.1072744956157224, -0.21322080357125603, -0.18827805811754214, 0.1302712371232561, 0.06940891759720846, 0.009272681208900534, -0.19629921128507705, 0.131406857607922, 0.017847996240016074, 0.06008592560672416, -0.0957723869691388, -0.05923004555874146, -0.10153960274317517, 0.07297336558023325, 0.06696622682233842, 0.07121859940771873, 0.2301369576280614, -0.0764352655199428, -0.0358495071494522, 0.4547588739114312, -0.0662082957378096, 0.048041487807551256, 0.21706465893120577, -0.28703599229562454, -0.1567394922200877, 0.17678780742347813, 0.21438238272586693, 0.1439187691726077, -0.19228373086169506, -0.022630122506346266, -0.02437610929975143, 0.27992773309636576, 0.10868372613062652, 0.06504138304444496, 0.46251093083276196, 0.1094206838349167, 0.0977279850299685, 0.056899584277282256, -0.2632590360939503, -0.02214101617439435, -0.1379668130646818, -0.098661777885774, -0.18151496750517535, 0.1325755946445637, -0.12282195778008408, -0.09730531048872552, 0.33592823151355755, 0.15667873974173116, 0.23355052695036507, 0.06444939332566439, 0.3172615292876099, 0.053660316030100845, 0.1320506029869788, 0.0822150434080798, 0.4031237365821233, 0.1553975919351125, 0.05810173903144179, -0.22339877646882086, 0.02542747726950508, 0.012444178609607311] |
1,802.0005 | Recursive Feature Generation for Knowledge-based Learning | When humans perform inductive learning, they often enhance the process with
background knowledge. With the increasing availability of well-formed
collaborative knowledge bases, the performance of learning algorithms could be
significantly enhanced if a way were found to exploit these knowledge bases. In
this work, we present a novel algorithm for injecting external knowledge into
induction algorithms using feature generation. Given a feature, the algorithm
defines a new learning task over its set of values, and uses the knowledge base
to solve the constructed learning task. The resulting classifier is then used
as a new feature for the original problem. We have applied our algorithm to the
domain of text classification using large semantic knowledge bases. We have
shown that the generated features significantly improve the performance of
existing learning algorithms.
| cs.AI | when humans perform inductive learning they often enhance the process with background knowledge with the increasing availability of wellformed collaborative knowledge bases the performance of learning algorithms could be significantly enhanced if a way were found to exploit these knowledge bases in this work we present a novel algorithm for injecting external knowledge into induction algorithms using feature generation given a feature the algorithm defines a new learning task over its set of values and uses the knowledge base to solve the constructed learning task the resulting classifier is then used as a new feature for the original problem we have applied our algorithm to the domain of text classification using large semantic knowledge bases we have shown that the generated features significantly improve the performance of existing learning algorithms | [['when', 'humans', 'perform', 'inductive', 'learning', 'they', 'often', 'enhance', 'the', 'process', 'with', 'background', 'knowledge', 'with', 'the', 'increasing', 'availability', 'of', 'wellformed', 'collaborative', 'knowledge', 'bases', 'the', 'performance', 'of', 'learning', 'algorithms', 'could', 'be', 'significantly', 'enhanced', 'if', 'a', 'way', 'were', 'found', 'to', 'exploit', 'these', 'knowledge', 'bases', 'in', 'this', 'work', 'we', 'present', 'a', 'novel', 'algorithm', 'for', 'injecting', 'external', 'knowledge', 'into', 'induction', 'algorithms', 'using', 'feature', 'generation', 'given', 'a', 'feature', 'the', 'algorithm', 'defines', 'a', 'new', 'learning', 'task', 'over', 'its', 'set', 'of', 'values', 'and', 'uses', 'the', 'knowledge', 'base', 'to', 'solve', 'the', 'constructed', 'learning', 'task', 'the', 'resulting', 'classifier', 'is', 'then', 'used', 'as', 'a', 'new', 'feature', 'for', 'the', 'original', 'problem', 'we', 'have', 'applied', 'our', 'algorithm', 'to', 'the', 'domain', 'of', 'text', 'classification', 'using', 'large', 'semantic', 'knowledge', 'bases', 'we', 'have', 'shown', 'that', 'the', 'generated', 'features', 'significantly', 'improve', 'the', 'performance', 'of', 'existing', 'learning', 'algorithms']] | [-0.018785594968805806, -0.002345534815238072, -0.08367440171109942, 0.03231813253062753, -0.16776233155710193, -0.12498750491784169, 0.055060274639310174, 0.4368897004196277, -0.30866076622086647, -0.35397470039673723, 0.05516381778378183, -0.216063868927841, -0.18119886953634426, 0.20328816406981787, -0.09477300451208766, 0.0631526708912973, 0.1303527238053413, 0.09079119070934562, -0.06448371301029021, -0.29788515504377966, 0.33627754809478155, 0.043530198659461276, 0.35110385270538524, -0.0015461086940306884, 0.13584649682833025, -0.030294429012932455, -0.06831634640335464, -0.0014729103288398339, -0.05866364510220592, 0.21099405575883934, 0.36156251570209863, 0.26278006331278725, 0.3245660033148642, -0.3856991054633489, -0.20178862244177323, 0.1319770307960705, 0.1712547035672917, 0.1402738730208232, -0.04394309436275552, -0.32396974401691786, 0.11002746193777196, -0.16480438486816218, -0.0002822735418493931, -0.1611966645748068, -0.06683493962941262, -0.016444057657813222, -0.3048946563942501, -0.04348832113811603, 0.14287445025805098, 0.05845674908755777, -0.05684026608404775, -0.126344514817286, 0.05314030889421702, 0.17676343518027213, 0.017055851824429386, 0.06849270628836866, 0.14970719280178085, -0.15891098317761834, -0.1894602694423296, 0.33338845694580904, -0.0675559654366225, -0.2369347103513204, 0.17721719601406502, -0.013718355282281453, -0.14232939078759116, 0.13054022127046036, 0.2254653048988145, 0.12549086162605538, -0.1506388748697086, 0.05623393237474374, -0.010071535967290402, 0.1940887135059501, 0.05471128628660853, -0.010061171538053224, 0.1554171912264652, 0.23881762185125038, 0.03873859933362557, 0.13945798901751494, -0.08444494853655879, -0.028197003854438664, -0.1881033666503544, -0.11746711158193648, -0.20909771151983966, -0.022470020862797705, -0.07970317384718398, -0.13951110693048507, 0.3897081008216796, 0.22663849224157345, 0.20113059394061567, 0.07336262059756196, 0.33993598357416116, 0.052279641804433105, 0.13106250488915697, 0.13165149092226505, 0.20103302429645106, 0.04087293876621586, 0.13412633813613167, -0.16552100879399895, 0.1175101553555578, 0.06925281295373749] |
1,802.00051 | In-Situ 3D Nano-Printing of Freeform Coupling Elements for Hybrid
Photonic Integration | Hybrid photonic integration exploits complementary strengths of different
material platforms, thereby offering superior performance and design
flexibility in comparison to monolithic approaches. This applies in particular
to multi-chip concepts, where components can be individually optimized and
tested on separate dies before integration into more complex systems. The
assembly of such systems, however, still represents a major challenge,
requiring complex and expensive processes for high-precision alignment as well
as careful adaptation of optical mode profiles. Here we show that these
challenges can be overcome by in-situ nano-printing of freeform beam-shaping
elements to facets of optical components. The approach is applicable to a wide
variety of devices and assembly concepts and allows adaptation of vastly
dissimilar mode profiles while considerably relaxing alignment tolerances to
the extent that scalable, cost-effective passive assembly techniques can be
used. We experimentally prove the viability of the concept by fabricating and
testing a selection of beam-shaping elements at chip and fiber facets,
achieving coupling efficiencies of up to 88 % between an InP laser and an
optical fiber. We also demonstrate printed freeform mirrors for simultaneously
adapting beam shape and propagation direction, and we explore multi-lens
systems for beam expansion. The concept paves the way to automated fabrication
of photonic multi-chip assemblies with unprecedented performance and
versatility.
| physics.app-ph physics.optics | hybrid photonic integration exploits complementary strengths of different material platforms thereby offering superior performance and design flexibility in comparison to monolithic approaches this applies in particular to multichip concepts where components can be individually optimized and tested on separate dies before integration into more complex systems the assembly of such systems however still represents a major challenge requiring complex and expensive processes for highprecision alignment as well as careful adaptation of optical mode profiles here we show that these challenges can be overcome by insitu nanoprinting of freeform beamshaping elements to facets of optical components the approach is applicable to a wide variety of devices and assembly concepts and allows adaptation of vastly dissimilar mode profiles while considerably relaxing alignment tolerances to the extent that scalable costeffective passive assembly techniques can be used we experimentally prove the viability of the concept by fabricating and testing a selection of beamshaping elements at chip and fiber facets achieving coupling efficiencies of up to 88 between an inp laser and an optical fiber we also demonstrate printed freeform mirrors for simultaneously adapting beam shape and propagation direction and we explore multilens systems for beam expansion the concept paves the way to automated fabrication of photonic multichip assemblies with unprecedented performance and versatility | [['hybrid', 'photonic', 'integration', 'exploits', 'complementary', 'strengths', 'of', 'different', 'material', 'platforms', 'thereby', 'offering', 'superior', 'performance', 'and', 'design', 'flexibility', 'in', 'comparison', 'to', 'monolithic', 'approaches', 'this', 'applies', 'in', 'particular', 'to', 'multichip', 'concepts', 'where', 'components', 'can', 'be', 'individually', 'optimized', 'and', 'tested', 'on', 'separate', 'dies', 'before', 'integration', 'into', 'more', 'complex', 'systems', 'the', 'assembly', 'of', 'such', 'systems', 'however', 'still', 'represents', 'a', 'major', 'challenge', 'requiring', 'complex', 'and', 'expensive', 'processes', 'for', 'highprecision', 'alignment', 'as', 'well', 'as', 'careful', 'adaptation', 'of', 'optical', 'mode', 'profiles', 'here', 'we', 'show', 'that', 'these', 'challenges', 'can', 'be', 'overcome', 'by', 'insitu', 'nanoprinting', 'of', 'freeform', 'beamshaping', 'elements', 'to', 'facets', 'of', 'optical', 'components', 'the', 'approach', 'is', 'applicable', 'to', 'a', 'wide', 'variety', 'of', 'devices', 'and', 'assembly', 'concepts', 'and', 'allows', 'adaptation', 'of', 'vastly', 'dissimilar', 'mode', 'profiles', 'while', 'considerably', 'relaxing', 'alignment', 'tolerances', 'to', 'the', 'extent', 'that', 'scalable', 'costeffective', 'passive', 'assembly', 'techniques', 'can', 'be', 'used', 'we', 'experimentally', 'prove', 'the', 'viability', 'of', 'the', 'concept', 'by', 'fabricating', 'and', 'testing', 'a', 'selection', 'of', 'beamshaping', 'elements', 'at', 'chip', 'and', 'fiber', 'facets', 'achieving', 'coupling', 'efficiencies', 'of', 'up', 'to', '88', 'between', 'an', 'inp', 'laser', 'and', 'an', 'optical', 'fiber', 'we', 'also', 'demonstrate', 'printed', 'freeform', 'mirrors', 'for', 'simultaneously', 'adapting', 'beam', 'shape', 'and', 'propagation', 'direction', 'and', 'we', 'explore', 'multilens', 'systems', 'for', 'beam', 'expansion', 'the', 'concept', 'paves', 'the', 'way', 'to', 'automated', 'fabrication', 'of', 'photonic', 'multichip', 'assemblies', 'with', 'unprecedented', 'performance', 'and', 'versatility']] | [-0.09580571032140368, 0.08935585431657111, -0.044933308852261655, -0.02690532144076084, -0.08640053762016042, -0.1777832833092, 0.031054159559523373, 0.4784710802601285, -0.25513846527018613, -0.3396894041814788, 0.07672824738123878, -0.20116003319454262, -0.13987922199203023, 0.26182160540773536, -0.07344372413548948, 0.09929521132091229, 0.07560783653725028, -0.1380682636150404, -0.052938168672354596, -0.1930790792785264, 0.2592392362137303, 0.07682445818674194, 0.35553969564718424, 0.032163185419505864, 0.1328259001059333, 0.025618224687992405, -0.008112264870616951, 0.0010815219202805221, -0.08884461009469714, 0.17703678136447482, 0.28240112285686736, 0.11051798561636947, 0.2715937661176378, -0.44414467113699685, -0.18919673751433644, 0.049545388633126845, 0.1922335579911131, 0.1072714993458366, -0.07050503817428423, -0.24707139262475036, 0.08406804980204383, -0.1433322282663143, -0.14542699317244812, -0.11616873692244327, -0.026579871013956636, 0.04169892730736107, -0.24066001024199138, -0.025204276746115535, 0.027455010957699536, 0.04963721622630472, -0.0047460168335641375, -0.0801650474937499, 0.021997286742619956, 0.13052886808469322, -0.0750914115411938, -0.028817020979950553, 0.18964236957532393, -0.12138185491250676, -0.13365138614879984, 0.3969257795496991, -0.02393964976105732, -0.18513606956594014, 0.2289111523779831, -0.0644469775244734, -0.07759496907182216, 0.12630949372372202, 0.19927465519115872, 0.07475341313950824, -0.1541772207655191, 0.008858278646906971, 0.10222202280099597, 0.20624881473917994, 0.1005770982405768, 0.07973483932131019, 0.23744537826164058, 0.25002673128285585, 0.0544760369301777, 0.14552762118473417, -0.07291886341896212, -0.03733238887405118, -0.21106980692842556, -0.19276494939887281, -0.13369594574610716, 0.01240290336435634, -0.07313921926110041, -0.13063493338034768, 0.3890925116645413, 0.1615491317959422, 0.15018628211246365, 0.027811797065036507, 0.36453629985594294, 0.023507344611122777, 0.1421878375291254, -0.02394253753000897, 0.2580795151891151, 0.10331783656021981, 0.10397306421290388, -0.19543825019135377, 0.04436057151137054, -0.03293347488598604] |
1,802.00052 | KdV hierarchy via Abelian coverings and operator identities | We establish precise spectral criteria for potential functions $V$ of
reflectionless Schr\"odinger operators $L_V = -\partial_x^2 + V$ to admit
solutions to the Korteweg de-Vries (KdV) hierarchy with $V$ as an initial
value. More generally, our methods extend the classical study of
algebro-geometric solutions for the KdV hierarchy to noncompact Riemann
surfaces by defining generalized Abelian integrals and analogues of the
Baker-Akhiezer function on infinitely connected domains with a uniformly thick
boundary satisfying a fractional moment condition.
| math.SP math-ph math.MP | we establish precise spectral criteria for potential functions v of reflectionless schrodinger operators l_v partial_x2 v to admit solutions to the korteweg devries kdv hierarchy with v as an initial value more generally our methods extend the classical study of algebrogeometric solutions for the kdv hierarchy to noncompact riemann surfaces by defining generalized abelian integrals and analogues of the bakerakhiezer function on infinitely connected domains with a uniformly thick boundary satisfying a fractional moment condition | [['we', 'establish', 'precise', 'spectral', 'criteria', 'for', 'potential', 'functions', 'v', 'of', 'reflectionless', 'schrodinger', 'operators', 'l_v', 'partial_x2', 'v', 'to', 'admit', 'solutions', 'to', 'the', 'korteweg', 'devries', 'kdv', 'hierarchy', 'with', 'v', 'as', 'an', 'initial', 'value', 'more', 'generally', 'our', 'methods', 'extend', 'the', 'classical', 'study', 'of', 'algebrogeometric', 'solutions', 'for', 'the', 'kdv', 'hierarchy', 'to', 'noncompact', 'riemann', 'surfaces', 'by', 'defining', 'generalized', 'abelian', 'integrals', 'and', 'analogues', 'of', 'the', 'bakerakhiezer', 'function', 'on', 'infinitely', 'connected', 'domains', 'with', 'a', 'uniformly', 'thick', 'boundary', 'satisfying', 'a', 'fractional', 'moment', 'condition']] | [-0.16179927585956952, 0.041445556731778195, -0.06255656080650321, 0.11950924860934417, -0.15219437296502292, -0.19727665527413288, -0.040842963540150476, 0.30542362995445727, -0.27493025123452147, -0.19602235347032548, 0.13012352343803893, -0.29572864638020596, -0.1185016620097061, 0.18771437134593724, -0.07867825228720904, 0.1044925117927293, 0.061256481474265455, 0.015842522208889324, -0.13678949137218296, -0.24372913767894108, 0.43189918659627435, -0.12433322082428883, 0.18869456792871156, 0.034427076776822406, 0.11518748922273517, -0.014409025001029174, 0.027594138141721486, -0.05864230843260884, -0.22128068819642066, 0.10535274809226394, 0.2447749393398408, 0.028131604865193366, 0.2225613347068429, -0.3986580762267113, -0.21545618885507187, 0.18392211052278679, 0.14200529001653195, -0.009505020702878635, 0.010109618704106349, -0.33390001838405925, 0.05706420908992489, -0.10344352955309054, -0.3027050373889506, -0.06556623779237271, 0.09906454759960373, 0.11687419205593566, -0.2869509634220352, 0.118310722168535, 0.07559382664660613, -0.005834726775065064, -0.1444993039779365, -0.1400959333529075, -0.09449733093691369, -0.02128371444841226, -0.009419150464236737, 0.030997422682121398, -0.007301560025662184, -0.1193939608708024, -0.09073857985436916, 0.3424582395019631, -0.10925099653036643, -0.3149765494217475, 0.1363642913599809, -0.12390612804641327, -0.09541100809971491, 0.08650955613392095, 0.08379459573576847, 0.18675147826472918, -0.11851358267168204, 0.17595529387316977, -0.0791213529293115, 0.1013037703682979, 0.14969213763872782, -0.0008749364254375299, 0.1227310587465763, 0.06862958160539469, 0.17698426224291325, 0.09493866468469302, 0.06729331918681661, -0.09627641908824444, -0.3555756491671006, -0.1538790090630452, -0.10408719948182503, 0.13861721200247606, -0.11537876514698533, -0.2525131719559431, 0.3870458099991083, 0.06660279076158379, 0.15747620932757855, 0.1302869326248765, 0.1486089246471723, 0.21609372194235524, 0.053415403171626775, 0.0435417332376043, 0.09086767703605195, 0.23006966117769478, 0.12897885557884972, -0.19049225235978762, -0.09572385295915108, 0.25505558315043647] |
1,802.00053 | The ALFALFA HI mass function: A dichotomy in the low-mass slope and a
locally suppressed 'knee' mass | We present the most precise measurement of the $z = 0$ HI mass function
(HIMF) to date based on the final catalogue of the ALFALFA (Arecibo Legacy Fast
ALFA) blind HI survey of the nearby Universe. The Schechter function fit has a
`knee' mass $\log (M_{*}\,h^{2}_{70}/\mathrm{M_{\odot}}) = 9.94 \pm 0.01 \pm
0.05$, a low-mass slope parameter $\alpha = -1.25 \pm 0.02 \pm 0.1$, and a
normalisation $\phi_{*} = (4.5 \pm 0.2 \pm 0.8) \times 10^{-3} \;
h^{3}_{70}\,\mathrm{Mpc^{-3}\,dex^{-1}}$, with both random and systematic
uncertainties as quoted. Together these give an estimate of the HI content of
the $z = 0$ Universe as $\Omega_{\mathrm{HI}} = (3.9 \pm 0.1 \pm 0.6) \times
10^{-4} \, h^{-1}_{70}$ (corrected for HI self-absorption). Our analysis of the
uncertainties indicates that the `knee' mass is a cosmologically fair
measurement of the $z = 0$ value, with its largest uncertainty originating from
the absolute flux calibration, but that the low-mass slope is only
representative of the local Universe. We also explore large scale trends in
$\alpha$ and $M_{*}$ across the ALFALFA volume. Unlike with the 40 per cent
sample, there is now sufficient coverage in both of the survey fields to make
an independent determination of the HIMF in each. We find a large discrepancy
in the low-mass slope ($\Delta \alpha = 0.14 \pm 0.03$) between the two
regions, and argue that this is likely caused by the presence of a deep void in
one field and the Virgo cluster in the other. Furthermore, we find that the
value of the `knee' mass within the Local Volume appears to be suppressed by
$0.18 \pm 0.04$ dex compared to the global ALFALFA value, which explains the
lower value measured by the shallower HIPASS. We discuss possible explanations
and interpretations of these results and how they can be expanded on with
future surveys.
| astro-ph.GA | we present the most precise measurement of the z 0 hi mass function himf to date based on the final catalogue of the alfalfa arecibo legacy fast alfa blind hi survey of the nearby universe the schechter function fit has a knee mass log m_h2_70mathrmm_odot 994 pm 001 pm 005 a lowmass slope parameter alpha 125 pm 002 pm 01 and a normalisation phi_ 45 pm 02 pm 08 times 103 h3_70mathrmmpc3dex1 with both random and systematic uncertainties as quoted together these give an estimate of the hi content of the z 0 universe as omega_mathrmhi 39 pm 01 pm 06 times 104 h1_70 corrected for hi selfabsorption our analysis of the uncertainties indicates that the knee mass is a cosmologically fair measurement of the z 0 value with its largest uncertainty originating from the absolute flux calibration but that the lowmass slope is only representative of the local universe we also explore large scale trends in alpha and m_ across the alfalfa volume unlike with the 40 per cent sample there is now sufficient coverage in both of the survey fields to make an independent determination of the himf in each we find a large discrepancy in the lowmass slope delta alpha 014 pm 003 between the two regions and argue that this is likely caused by the presence of a deep void in one field and the virgo cluster in the other furthermore we find that the value of the knee mass within the local volume appears to be suppressed by 018 pm 004 dex compared to the global alfalfa value which explains the lower value measured by the shallower hipass we discuss possible explanations and interpretations of these results and how they can be expanded on with future surveys | [['we', 'present', 'the', 'most', 'precise', 'measurement', 'of', 'the', 'z', '0', 'hi', 'mass', 'function', 'himf', 'to', 'date', 'based', 'on', 'the', 'final', 'catalogue', 'of', 'the', 'alfalfa', 'arecibo', 'legacy', 'fast', 'alfa', 'blind', 'hi', 'survey', 'of', 'the', 'nearby', 'universe', 'the', 'schechter', 'function', 'fit', 'has', 'a', 'knee', 'mass', 'log', 'm_h2_70mathrmm_odot', '994', 'pm', '001', 'pm', '005', 'a', 'lowmass', 'slope', 'parameter', 'alpha', '125', 'pm', '002', 'pm', '01', 'and', 'a', 'normalisation', 'phi_', '45', 'pm', '02', 'pm', '08', 'times', '103', 'h3_70mathrmmpc3dex1', 'with', 'both', 'random', 'and', 'systematic', 'uncertainties', 'as', 'quoted', 'together', 'these', 'give', 'an', 'estimate', 'of', 'the', 'hi', 'content', 'of', 'the', 'z', '0', 'universe', 'as', 'omega_mathrmhi', '39', 'pm', '01', 'pm', '06', 'times', '104', 'h1_70', 'corrected', 'for', 'hi', 'selfabsorption', 'our', 'analysis', 'of', 'the', 'uncertainties', 'indicates', 'that', 'the', 'knee', 'mass', 'is', 'a', 'cosmologically', 'fair', 'measurement', 'of', 'the', 'z', '0', 'value', 'with', 'its', 'largest', 'uncertainty', 'originating', 'from', 'the', 'absolute', 'flux', 'calibration', 'but', 'that', 'the', 'lowmass', 'slope', 'is', 'only', 'representative', 'of', 'the', 'local', 'universe', 'we', 'also', 'explore', 'large', 'scale', 'trends', 'in', 'alpha', 'and', 'm_', 'across', 'the', 'alfalfa', 'volume', 'unlike', 'with', 'the', '40', 'per', 'cent', 'sample', 'there', 'is', 'now', 'sufficient', 'coverage', 'in', 'both', 'of', 'the', 'survey', 'fields', 'to', 'make', 'an', 'independent', 'determination', 'of', 'the', 'himf', 'in', 'each', 'we', 'find', 'a', 'large', 'discrepancy', 'in', 'the', 'lowmass', 'slope', 'delta', 'alpha', '014', 'pm', '003', 'between', 'the', 'two', 'regions', 'and', 'argue', 'that', 'this', 'is', 'likely', 'caused', 'by', 'the', 'presence', 'of', 'a', 'deep', 'void', 'in', 'one', 'field', 'and', 'the', 'virgo', 'cluster', 'in', 'the', 'other', 'furthermore', 'we', 'find', 'that', 'the', 'value', 'of', 'the', 'knee', 'mass', 'within', 'the', 'local', 'volume', 'appears', 'to', 'be', 'suppressed', 'by', '018', 'pm', '004', 'dex', 'compared', 'to', 'the', 'global', 'alfalfa', 'value', 'which', 'explains', 'the', 'lower', 'value', 'measured', 'by', 'the', 'shallower', 'hipass', 'we', 'discuss', 'possible', 'explanations', 'and', 'interpretations', 'of', 'these', 'results', 'and', 'how', 'they', 'can', 'be', 'expanded', 'on', 'with', 'future', 'surveys']] | [-0.08834920045726362, 0.11265217078856521, -0.04226240096533201, 0.07736453888768646, -0.024063964380405742, -0.05096123495242304, 0.0911878925694997, 0.36266440532881616, -0.17011607149462812, -0.39917544522532183, 0.06453872012428837, -0.3326426477680647, 0.015223714052320854, 0.17955381662712133, -0.03689868042243896, -0.008610491297208981, 0.006743241006437573, -0.05591267069389199, -0.09862752398697557, -0.23467675274581193, 0.22591482992904344, 0.06510833550192606, 0.19871950626315285, -0.00886808084984629, 0.057504340682813584, -0.08998792858594533, -0.08398706749465097, -0.044342520187534776, -0.22637132816314762, 0.03265208202643017, 0.20782514022827184, 0.11179987018040013, 0.2434371283791869, -0.257507260005705, -0.09777488142725686, 0.13044144091708748, 0.1947826943360269, 0.004797448945927811, -0.04951152245588214, -0.2850504327774093, 0.11214380791055516, -0.18226738949386873, -0.16099948611017398, 0.07000907233232032, 0.057598361038525545, -0.0035527153456242026, -0.24610516383106398, 0.22363680693476823, -0.033075029942832214, 0.06779582772136482, -0.06989563778759815, -0.20625732301744057, -0.04361753322258205, 0.05775650766691045, 0.03965920261606883, 0.16242659616261515, 0.1830181785630365, -0.12245047526437286, 0.010487923868303429, 0.40677348530777185, -0.11496680372017581, -0.043952785074469855, 0.10522853293952412, -0.22899122726314003, -0.17720666493427742, 0.15294972339171312, 0.12790905647797535, 0.06782271814750906, -0.15318579052391246, 0.04451693595442631, -0.005412456012334172, 0.2855737621744508, 0.01848618528373849, 0.0294139471906479, 0.2640639437414113, 0.10883693950377936, 0.07541820335211587, 0.01039224822468134, -0.2188418235129896, -0.007103062412261666, -0.3024774389196458, -0.09944369129443406, -0.11479901677081329, 0.11220947281855471, -0.17910742039908453, -0.0961938600432914, 0.3220594510448948, 0.14560898925922167, 0.27947338819294315, 0.09899018346007743, 0.2913338149169453, 0.11208118530853159, 0.09493627734514513, 0.07448389725985205, 0.3134785163760907, 0.15661419418343958, 0.08052623055586881, -0.17775023904158557, 0.05922835337420916, -0.03836480392869014] |
1,802.00054 | An Immersed Weak Galerkin Method For Elliptic Interface Problems | In this paper, we present an immersed weak Galerkin method for solving
second-order elliptic interface problems. The proposed method does not require
the meshes to be aligned with the interface. Consequently, uniform Cartesian
meshes can be used for nontrivial interfacial geometry. We show the existence
and uniqueness of the numerical algorithm, and prove the error estimates for
the energy norm. Numerical results are reported to demonstrate the performance
of the method.
| math.NA | in this paper we present an immersed weak galerkin method for solving secondorder elliptic interface problems the proposed method does not require the meshes to be aligned with the interface consequently uniform cartesian meshes can be used for nontrivial interfacial geometry we show the existence and uniqueness of the numerical algorithm and prove the error estimates for the energy norm numerical results are reported to demonstrate the performance of the method | [['in', 'this', 'paper', 'we', 'present', 'an', 'immersed', 'weak', 'galerkin', 'method', 'for', 'solving', 'secondorder', 'elliptic', 'interface', 'problems', 'the', 'proposed', 'method', 'does', 'not', 'require', 'the', 'meshes', 'to', 'be', 'aligned', 'with', 'the', 'interface', 'consequently', 'uniform', 'cartesian', 'meshes', 'can', 'be', 'used', 'for', 'nontrivial', 'interfacial', 'geometry', 'we', 'show', 'the', 'existence', 'and', 'uniqueness', 'of', 'the', 'numerical', 'algorithm', 'and', 'prove', 'the', 'error', 'estimates', 'for', 'the', 'energy', 'norm', 'numerical', 'results', 'are', 'reported', 'to', 'demonstrate', 'the', 'performance', 'of', 'the', 'method']] | [-0.1145001136710946, -0.014824392200032788, -0.09621715969053543, 0.03759362163435353, -0.0740824336527099, -0.11631948104731633, -0.05329907399726848, 0.4100251511185312, -0.2935272090556756, -0.30412333803972835, 0.11513498925741657, -0.22375138915261963, -0.12397349783232514, 0.23718056339823024, -0.09160965639100947, 0.10256510072479576, 0.13802033178770626, -0.02762603801740727, -0.12211803651191819, -0.24443312767158512, 0.3079266414754617, -0.002801164696124238, 0.28875399062173884, 0.1433191498295522, 0.10068660085626491, -0.05943508337671593, 0.008236331829119106, 0.08663116636830316, -0.1640181834743896, 0.15581529670719607, 0.2612355484719008, 0.04995397261580006, 0.261643662917572, -0.45443621082362573, -0.19148184360385362, 0.09113471498581725, 0.14182611837537146, 0.13913411530338124, -0.11409600008554546, -0.29219244992439175, 0.1386634980551374, -0.108958381949596, -0.15572194309091905, -0.13917965179269898, -0.11701204821887151, 0.07497616267015397, -0.34313660735120133, 0.10920016523319441, 0.0863237051476895, 0.034616125878733646, -0.10581175500894306, -0.10434263587837488, 0.004452573804473373, 0.09292237675735648, 0.020182861467744683, -0.011130660687061682, 0.033696700058037966, -0.05394897366952623, -0.09418160084005393, 0.3681479504358181, -0.04751721513785527, -0.3217923351970147, 0.15709336133490145, -0.10628191232566499, -0.06917962608334254, 0.14016056256237583, 0.21013327993609957, 0.20485300000127352, -0.08935182427489002, 0.09079480787548957, -0.045390468202268996, 0.1911152594158767, 0.02021674984331492, -0.03740409066454625, 0.08423483167433927, 0.13769731704722826, 0.16012649626379283, 0.12885958681696316, -0.09198461985871406, -0.0764020930346049, -0.3314166774212475, -0.18132757017074128, -0.20029207416088649, -0.040354963900106566, -0.12866831898753217, -0.22762692349792366, 0.35112951590981284, 0.189446885224012, 0.09974347799360542, 0.06596847422893198, 0.3107835958108411, 0.1329630214170041, 0.01115251958868663, 0.14674453659009346, 0.26727335086800685, 0.12717235043749842, 0.1117885915815017, -0.2440679757527902, 0.06720359080379278, 0.19457776444426306] |
1,802.00055 | Minimal toughness in special graph classes | Let $t$ be a positive real number. A graph is called $t$-tough if the removal
of any vertex set $S$ that disconnects the graph leaves at most $|S|/t$
components, and all graphs are considered 0-tough. The toughness of a graph is
the largest $t$ for which the graph is $t$-tough, whereby the toughness of
complete graphs is defined as infinity. A graph is minimally $t$-tough if the
toughness of the graph is $t$, and the deletion of any edge from the graph
decreases the toughness. In this paper, we investigate the minimum degree and
the recognizability of minimally $t$-tough graphs in the classes of chordal
graphs, split graphs, claw-free graphs, and $2K_2$-free graphs.
| math.CO | let t be a positive real number a graph is called ttough if the removal of any vertex set s that disconnects the graph leaves at most st components and all graphs are considered 0tough the toughness of a graph is the largest t for which the graph is ttough whereby the toughness of complete graphs is defined as infinity a graph is minimally ttough if the toughness of the graph is t and the deletion of any edge from the graph decreases the toughness in this paper we investigate the minimum degree and the recognizability of minimally ttough graphs in the classes of chordal graphs split graphs clawfree graphs and 2k_2free graphs | [['let', 't', 'be', 'a', 'positive', 'real', 'number', 'a', 'graph', 'is', 'called', 'ttough', 'if', 'the', 'removal', 'of', 'any', 'vertex', 'set', 's', 'that', 'disconnects', 'the', 'graph', 'leaves', 'at', 'most', 'st', 'components', 'and', 'all', 'graphs', 'are', 'considered', '0tough', 'the', 'toughness', 'of', 'a', 'graph', 'is', 'the', 'largest', 't', 'for', 'which', 'the', 'graph', 'is', 'ttough', 'whereby', 'the', 'toughness', 'of', 'complete', 'graphs', 'is', 'defined', 'as', 'infinity', 'a', 'graph', 'is', 'minimally', 'ttough', 'if', 'the', 'toughness', 'of', 'the', 'graph', 'is', 't', 'and', 'the', 'deletion', 'of', 'any', 'edge', 'from', 'the', 'graph', 'decreases', 'the', 'toughness', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'minimum', 'degree', 'and', 'the', 'recognizability', 'of', 'minimally', 'ttough', 'graphs', 'in', 'the', 'classes', 'of', 'chordal', 'graphs', 'split', 'graphs', 'clawfree', 'graphs', 'and', '2k_2free', 'graphs']] | [-0.20372033206513152, 0.18088718397796452, -0.023041534940213233, -0.030686091796919106, -0.13916784138668195, -0.13483695286725247, 0.013856873175037825, 0.35838909871901187, -0.29400109447825734, -0.302310953149572, 0.0871226107597717, -0.3580372771747144, -0.17015590393982297, 0.05661970649297083, -0.11825202448069051, -0.009376198152494908, 0.15982458114324669, 0.18095643924399546, 0.08987564114795532, -0.2572895080881738, 0.31921268992508495, -0.026226030388248285, 0.15588710041317558, 0.14783001653683772, 0.06351814537369396, 0.05372620024718344, 0.02215953158364365, 0.1634817042483649, -0.17373610109364432, 0.03789252655613901, 0.27359455411455463, 0.18997792279697023, 0.23588541762105056, -0.3352748979648043, -0.1751748494072152, 0.2891511012151438, 0.046822504477209544, 0.028810278548917267, 0.09118797576021669, -0.191426260130746, 0.19396357288600743, -0.06377478730857027, -0.039432554285407866, 0.060962212371772954, 0.12282285544123235, -0.014161053013854794, -0.27826036798900794, -0.03477514544543477, 0.1324212214011433, 0.05107040055944318, 0.10167570071436265, -0.1264682851615362, -0.10909698043542448, 0.1073825733016877, -0.10835545443946362, 0.08527879080481528, 0.05836433899405945, -0.16015966097516607, -0.1783224283135496, 0.38814569666283205, -0.004258744119267378, -0.13402080699909544, 0.1066574753578087, -0.12249509026046976, -0.18415184630014533, 0.11394969552306325, 0.10897456393909774, 0.17231393184712424, -0.11247188566319112, 0.17576214930366924, -0.07092071654707459, 0.10586132699869008, 0.1418871080926952, -0.03721276592114009, 0.08719835833679619, 0.17146948255997682, 0.1670532746163969, 0.2110847700418422, 0.041827080008390895, 0.08688054907751004, -0.3217442768925269, -0.1271518040718677, -0.280275832384567, 0.04238214023124393, -0.2680091013020761, -0.2544562176668218, 0.48328660571548554, 0.07279568226554797, 0.1836750853607165, 0.14981453099608188, 0.19812770813171351, 0.06220593355218235, 0.07035458869151105, 0.22078273069096863, 0.11261026916326955, 0.23796228137299685, -0.024721970266130353, -0.1761026107082476, 0.12059569904938273, 0.11034445077945877] |
1,802.00056 | diagnoseIT: Expertengest\"utzte automatische Diagnose von
Performance-Probleme in Enterprise-Anwendungen (Abschlussbericht) | This is the final report of the collaborative research project diagnoseIT on
expert-guided automatic diagnosis of performance problems in enterprise
applications.
| cs.SE cs.DC cs.PF q-bio.NC | this is the final report of the collaborative research project diagnoseit on expertguided automatic diagnosis of performance problems in enterprise applications | [['this', 'is', 'the', 'final', 'report', 'of', 'the', 'collaborative', 'research', 'project', 'diagnoseit', 'on', 'expertguided', 'automatic', 'diagnosis', 'of', 'performance', 'problems', 'in', 'enterprise', 'applications']] | [-0.09698895448818803, -0.04772676471620798, -0.024259827751666307, -0.0453229355160147, -0.1199754135683179, -0.05487212175503373, 0.007536809192970395, 0.3950667200610042, -0.14997461680322885, -0.32341079115867616, 0.16491946132737212, -0.2550483766011894, -0.17767603369720747, 0.25399575047194956, -0.16922168843448163, 0.10179591849446297, 0.21917656026780605, 0.04910951443016529, -0.06041570287197828, -0.35304820076562465, 0.279097817838192, 0.0611132831312716, 0.41542193591594695, 0.15828295536339282, 0.032820159615948793, -0.004943347768858075, -0.12498327307403087, -0.12140979999676346, -0.07103825435042381, 0.19682550220750272, 0.45422250116243956, 0.27671408352907745, 0.46656511873006823, -0.3176119359675795, -0.16259057568386198, 0.027425622171722352, 0.16453585661947728, 0.028069634456187487, -0.09040496193920262, -0.3510180521756411, 0.07008196697570383, -0.19941914677619935, -0.0641269538551569, 0.007220690656686202, -0.0096782618900761, -0.05090925293043256, -0.22419361509382724, 0.02767802537418902, 0.010317520517855883, 0.16281185867264866, -0.055978000559844074, -0.1504673980176449, 0.11265461898292414, 0.1819148854352534, 0.02873104348545894, 0.045245528360828756, 0.20800063703209162, -0.2132406671415083, -0.24159442819654942, 0.39667558670043945, 0.04574352935887873, -0.12345224674791097, 0.16014673449099065, 0.022532000951468945, -0.2537387225776911, 0.04114739247597754, 0.3442694921046495, 0.12426724852994084, -0.20414503216743468, 0.1071230793837458, 0.03645498712648987, 0.16098174713552, -0.03829012373462319, -0.04376188876340166, 0.18269308080198243, 0.38933912962675093, 0.07645641129929573, 0.14254127595049795, -0.023358707351144405, -0.021526124980300664, -0.21163293002173306, -0.20776470340788364, -0.09297205659095198, -0.008896755194291473, 0.005027419398538768, -0.21467002732679247, 0.41256227837875487, 0.25446244366466997, 0.03933877544477582, -0.05952072471845895, 0.40310568530112506, -0.027169860200956464, 0.0377251148223877, -0.002002373966388404, 0.19646600121632218, -0.03132214453071356, 0.2469713804544881, -0.23822227253112943, 0.12284619519487024, 0.0026914382819086314] |
1,802.00057 | Photonic RF and microwave reconfigurable filters and true time delays
based on an integrated optical Kerr frequency comb source | We demonstrate advanced transversal radio frequency (RF) and microwave
functions based on a Kerr optical comb source generated by an integrated
micro-ring resonator. We achieve extremely high performance for an optical true
time delay aimed at tunable phased array antenna applications, as well as
reconfigurable microwave photonic filters. Our results agree well with theory.
We show that our true time delay would yield a phased array antenna with
features that include high angular resolution and a wide range of beam steering
angles, while the microwave photonic filters feature high Q factors, wideband
tunability, and highly reconfigurable filtering shapes. These results show that
our approach is a competitive solution to implementing reconfigurable, high
performance and potentially low cost RF and microwave
| physics.app-ph physics.optics | we demonstrate advanced transversal radio frequency rf and microwave functions based on a kerr optical comb source generated by an integrated microring resonator we achieve extremely high performance for an optical true time delay aimed at tunable phased array antenna applications as well as reconfigurable microwave photonic filters our results agree well with theory we show that our true time delay would yield a phased array antenna with features that include high angular resolution and a wide range of beam steering angles while the microwave photonic filters feature high q factors wideband tunability and highly reconfigurable filtering shapes these results show that our approach is a competitive solution to implementing reconfigurable high performance and potentially low cost rf and microwave | [['we', 'demonstrate', 'advanced', 'transversal', 'radio', 'frequency', 'rf', 'and', 'microwave', 'functions', 'based', 'on', 'a', 'kerr', 'optical', 'comb', 'source', 'generated', 'by', 'an', 'integrated', 'microring', 'resonator', 'we', 'achieve', 'extremely', 'high', 'performance', 'for', 'an', 'optical', 'true', 'time', 'delay', 'aimed', 'at', 'tunable', 'phased', 'array', 'antenna', 'applications', 'as', 'well', 'as', 'reconfigurable', 'microwave', 'photonic', 'filters', 'our', 'results', 'agree', 'well', 'with', 'theory', 'we', 'show', 'that', 'our', 'true', 'time', 'delay', 'would', 'yield', 'a', 'phased', 'array', 'antenna', 'with', 'features', 'that', 'include', 'high', 'angular', 'resolution', 'and', 'a', 'wide', 'range', 'of', 'beam', 'steering', 'angles', 'while', 'the', 'microwave', 'photonic', 'filters', 'feature', 'high', 'q', 'factors', 'wideband', 'tunability', 'and', 'highly', 'reconfigurable', 'filtering', 'shapes', 'these', 'results', 'show', 'that', 'our', 'approach', 'is', 'a', 'competitive', 'solution', 'to', 'implementing', 'reconfigurable', 'high', 'performance', 'and', 'potentially', 'low', 'cost', 'rf', 'and', 'microwave']] | [-0.17749647677410393, 0.1099437854817855, 0.013751113666997602, -0.04980861228638484, -0.09861637876019813, -0.23693584381447483, 0.01897202067678639, 0.5659277750877664, -0.20218194473224382, -0.32702665495841454, 0.08340537031569208, -0.2281820588124295, -0.16148249278776347, 0.3241883768932894, -0.02003572550553751, 0.12412198600359262, 0.0849294970704553, -0.13055384176162382, -0.010622362666860377, -0.136986863737305, 0.1652484586336262, 0.16926613554824144, 0.3933704146184027, 0.02364694292967518, 0.20203169389084602, -0.012199630332179367, -0.0010767352806093792, -0.01695263130435099, -0.03425833917857138, 0.09654296114264677, 0.3408909213418762, 0.09998086740185196, 0.20452818400226533, -0.3804774669542288, -0.2272426131363318, 0.03529105072181361, 0.1311247464075374, 0.11657999759966818, -0.09397689035104122, -0.2876136131118983, 0.07919034064010096, -0.17647483124552915, -0.13941844813719703, -0.07531204462090196, -0.04948413622332737, 0.08063111829833361, -0.2716735128235693, -0.031089140973441922, 0.0031532132357824593, 0.039949608695072435, -0.013482940761605278, -0.10267931146081537, 0.03221860762181071, 0.05274191654364889, -0.13050192407681607, 0.018524527384821948, 0.15175345240859314, -0.10822889749154758, -0.14809697531163693, 0.33354875227281205, -0.09960687616063903, -0.15045230801527698, 0.16262999060757768, -0.16042641032254323, -0.029688494697135564, 0.14809774871294698, 0.23372679008947064, 0.056936842389404774, -0.09380356906428157, 0.007709911170483489, 0.049256871329271236, 0.28981408681720494, 0.1484713586687576, 0.19489900273814176, 0.25198239378708726, 0.18848692468988398, 0.09614622110966593, 0.1578732845839113, -0.12852628532467256, 0.04950817641802132, -0.22652600073294404, -0.07288237024331465, -0.22140003296080976, 0.03143384756986052, -0.1554912505471293, -0.14772733341281613, 0.3956110393240427, 0.14124068712505203, 0.15718054644142587, 0.07751517602397749, 0.39901249622150015, 0.11009390765975695, 0.1029339622046488, 0.026664163284779836, 0.2658750230679289, 0.12402204311802052, 0.14568009496627685, -0.23635508271011835, -0.0672276089549996, -0.10318453030971189] |
1,802.00058 | Redshift and lateshift from homogeneous and isotropic modified
dispersion relations | Observables which would indicate a modified vacuum dispersion relations,
possibly caused by quantum gravity effects, are a four momentum dependence of
the cosmological redshift and the existence of a so called lateshift effect for
massless or very light particles. Existence or non-existence of the later is
currently analyzed on the basis of the available observational data from gamma
ray bursts and compared to predictions of specific modified dispersion relation
models. We consider the most general perturbation of the general relativistic
dispersion relation of freely falling particles on homogeneous and isotropic
spacetimes and derive the red- and lateshift to first order in the
perturbation. Our result generalizes the existing formulae in the literature
and we find that there exist modified dispersion relations causing both, one or
none of the two effects to first order.
| gr-qc hep-th | observables which would indicate a modified vacuum dispersion relations possibly caused by quantum gravity effects are a four momentum dependence of the cosmological redshift and the existence of a so called lateshift effect for massless or very light particles existence or nonexistence of the later is currently analyzed on the basis of the available observational data from gamma ray bursts and compared to predictions of specific modified dispersion relation models we consider the most general perturbation of the general relativistic dispersion relation of freely falling particles on homogeneous and isotropic spacetimes and derive the red and lateshift to first order in the perturbation our result generalizes the existing formulae in the literature and we find that there exist modified dispersion relations causing both one or none of the two effects to first order | [['observables', 'which', 'would', 'indicate', 'a', 'modified', 'vacuum', 'dispersion', 'relations', 'possibly', 'caused', 'by', 'quantum', 'gravity', 'effects', 'are', 'a', 'four', 'momentum', 'dependence', 'of', 'the', 'cosmological', 'redshift', 'and', 'the', 'existence', 'of', 'a', 'so', 'called', 'lateshift', 'effect', 'for', 'massless', 'or', 'very', 'light', 'particles', 'existence', 'or', 'nonexistence', 'of', 'the', 'later', 'is', 'currently', 'analyzed', 'on', 'the', 'basis', 'of', 'the', 'available', 'observational', 'data', 'from', 'gamma', 'ray', 'bursts', 'and', 'compared', 'to', 'predictions', 'of', 'specific', 'modified', 'dispersion', 'relation', 'models', 'we', 'consider', 'the', 'most', 'general', 'perturbation', 'of', 'the', 'general', 'relativistic', 'dispersion', 'relation', 'of', 'freely', 'falling', 'particles', 'on', 'homogeneous', 'and', 'isotropic', 'spacetimes', 'and', 'derive', 'the', 'red', 'and', 'lateshift', 'to', 'first', 'order', 'in', 'the', 'perturbation', 'our', 'result', 'generalizes', 'the', 'existing', 'formulae', 'in', 'the', 'literature', 'and', 'we', 'find', 'that', 'there', 'exist', 'modified', 'dispersion', 'relations', 'causing', 'both', 'one', 'or', 'none', 'of', 'the', 'two', 'effects', 'to', 'first', 'order']] | [-0.12641838642145345, 0.15219222194861132, -0.11279602495155164, 0.12591004757214114, -0.11333217362600162, -0.11725098831242972, 0.00024533932643445365, 0.31909648646929656, -0.20452529486685403, -0.30157576871097536, 0.07032268174881942, -0.31269048573099134, -0.08817015509331193, 0.20061270914677726, 0.014117684260823, 0.027557397787319145, 0.025867729034638944, 0.012072598463610598, -0.07693698594801363, -0.2096888003678278, 0.3667719817415748, 0.042385573179419045, 0.2507646271466151, 0.015028489561037238, 0.07537100019539125, -0.01142355050415473, -0.06901091909302133, 0.05635767304723648, -0.16277508926955342, 0.06730248328802504, 0.17158875702058085, 0.07191067106349576, 0.2056211791162316, -0.4038859421625397, -0.22747352993101777, 0.09811933425822317, 0.12682386037116325, 0.1367279600266269, -0.07923412035723545, -0.265339173933253, 0.024547187249085174, -0.16731256061702743, -0.16524171734253237, -0.015427568318196257, 0.013030662012279481, 0.01983967923062076, -0.21905836448269456, 0.1260050076438128, 0.05678360706853463, 0.005739013006196434, -0.08056403226236623, -0.09061348841777701, -0.03734905229832389, 0.09129767686555765, 0.08878558919733544, -0.005180961935591877, 0.07768300932278871, -0.1166756679268932, -0.07779280645282645, 0.44728419522201657, -0.09919512530795782, -0.18256832118657298, 0.18550397032570737, -0.1873511737019972, -0.13105798983960448, 0.07642252876990496, 0.15776611073992977, 0.10364456087546914, -0.13932262276320306, 0.061195965125435556, 0.004469551433129867, 0.15093327892762154, 0.09946026757737636, 0.05144031581563413, 0.2325815894970096, 0.0682070203111472, -0.0028982307005645637, 0.09091539106058671, -0.08422824197896946, -0.06982625747945062, -0.33900828312214154, -0.11580887686503225, -0.1254939493562158, 0.03711341031217821, -0.11120329427824327, -0.18018853989660852, 0.34588282603658455, 0.13607762900500162, 0.16779662127767628, 0.06999496898361783, 0.2731563409184687, 0.11188785333792098, 0.07130135198410853, 0.10264271393040181, 0.3097437817211214, 0.14113153168700523, 0.0493182725743767, -0.21619220251432808, 0.03549314309191659, 0.045283070129965595] |
1,802.00059 | First order theory on $G(n, c n^{-1})$ | A well-known result of Shelah and Spencer tells us that the almost sure
theory for first order language on the random graph sequence $\left\{G(n,
cn^{-1})\right\}$ is not complete. This paper proposes and proves what the
complete set of completions of the almost sure theory for $\left\{G(n, c
n^{-1})\right\}$ should be. The almost sure theory $T$ consists of two sentence
groups: the first states that all the components are trees or unicyclic
components, and the second states that, given any $k \in \mathbb{N}$ and any
finite tree $t$, there are at least $k$ components isomorphic to $t$. We define
a $k$-completion of $T$ to be a first order property $A$, such that if $T + A$
holds for a graph, we can fully describe the first order sentences of
quantifier depth $\leq k$ that hold for that graph. We show that a
$k$-completion $A$ specifies the numbers, up to "cutoff" $k$, of the (finitely
many) unicyclic component types of given parameters (that only depend on $k$)
that the graph contains. A complete set of $k$-completions is then the finite
collection of all possible $k$-completions.
| math.PR | a wellknown result of shelah and spencer tells us that the almost sure theory for first order language on the random graph sequence leftgn cn1right is not complete this paper proposes and proves what the complete set of completions of the almost sure theory for leftgn c n1right should be the almost sure theory t consists of two sentence groups the first states that all the components are trees or unicyclic components and the second states that given any k in mathbbn and any finite tree t there are at least k components isomorphic to t we define a kcompletion of t to be a first order property a such that if t a holds for a graph we can fully describe the first order sentences of quantifier depth leq k that hold for that graph we show that a kcompletion a specifies the numbers up to cutoff k of the finitely many unicyclic component types of given parameters that only depend on k that the graph contains a complete set of kcompletions is then the finite collection of all possible kcompletions | [['a', 'wellknown', 'result', 'of', 'shelah', 'and', 'spencer', 'tells', 'us', 'that', 'the', 'almost', 'sure', 'theory', 'for', 'first', 'order', 'language', 'on', 'the', 'random', 'graph', 'sequence', 'leftgn', 'cn1right', 'is', 'not', 'complete', 'this', 'paper', 'proposes', 'and', 'proves', 'what', 'the', 'complete', 'set', 'of', 'completions', 'of', 'the', 'almost', 'sure', 'theory', 'for', 'leftgn', 'c', 'n1right', 'should', 'be', 'the', 'almost', 'sure', 'theory', 't', 'consists', 'of', 'two', 'sentence', 'groups', 'the', 'first', 'states', 'that', 'all', 'the', 'components', 'are', 'trees', 'or', 'unicyclic', 'components', 'and', 'the', 'second', 'states', 'that', 'given', 'any', 'k', 'in', 'mathbbn', 'and', 'any', 'finite', 'tree', 't', 'there', 'are', 'at', 'least', 'k', 'components', 'isomorphic', 'to', 't', 'we', 'define', 'a', 'kcompletion', 'of', 't', 'to', 'be', 'a', 'first', 'order', 'property', 'a', 'such', 'that', 'if', 't', 'a', 'holds', 'for', 'a', 'graph', 'we', 'can', 'fully', 'describe', 'the', 'first', 'order', 'sentences', 'of', 'quantifier', 'depth', 'leq', 'k', 'that', 'hold', 'for', 'that', 'graph', 'we', 'show', 'that', 'a', 'kcompletion', 'a', 'specifies', 'the', 'numbers', 'up', 'to', 'cutoff', 'k', 'of', 'the', 'finitely', 'many', 'unicyclic', 'component', 'types', 'of', 'given', 'parameters', 'that', 'only', 'depend', 'on', 'k', 'that', 'the', 'graph', 'contains', 'a', 'complete', 'set', 'of', 'kcompletions', 'is', 'then', 'the', 'finite', 'collection', 'of', 'all', 'possible', 'kcompletions']] | [-0.15547680793498447, 0.155550544562889, -0.08477702511390303, 0.0292549232191322, -0.08634835747886176, -0.1154369921528729, 0.06293031587699523, 0.37204439611842405, -0.28364516891497005, -0.2441263315662489, 0.07392138265018051, -0.3122331352462455, -0.11143832309250483, 0.13958850940084347, -0.05639252897173082, 0.0026913487528698087, 0.057232827499658814, 0.15100060720628095, -0.0015878073998074453, -0.30531811267321685, 0.3334463004964683, -0.07317411211861224, 0.1861768288572061, 0.05704737618028865, 0.1308047330154285, 0.021724027068496257, 0.014385649773928911, 0.05832260955219804, -0.1487719781128614, 0.08178310118987893, 0.2783620642592846, 0.16343179737128274, 0.26148009718077436, -0.33982453199292895, -0.16856511106640942, 0.18780585360255533, 0.09956138504742734, 0.04941624185691277, 0.04998559465942284, -0.18627082795630825, 0.20908307868495352, -0.12261168591975428, -0.10565264237844675, -0.07331743135017021, 0.0965506523810748, -0.008931686754448939, -0.29957973417670775, -0.010825102638432199, 0.17506252038739833, 0.0436636827896628, -0.0010924705483103538, -0.11881346330257123, -0.03396468079191143, 0.15341094434971653, -0.04241200361110133, 0.05542440656743586, 0.034780781718739176, -0.07002913687456436, -0.1422320578469616, 0.3617105052732773, -0.09385555134204843, -0.12999368417418777, 0.1551640349283083, -0.1581389824761141, -0.19413181257007991, 0.09797650339123977, 0.09236538660644138, 0.16293060710380053, -0.1257816180692049, 0.1459610046789913, -0.11460493385034093, 0.1884497054931471, 0.12257689666818554, 0.004544806537760348, 0.13821415987528735, 0.10803647716213965, 0.13212138407464608, 0.11486352433247944, 0.02834377605152332, 0.018111553211172905, -0.37898714444928905, -0.1635474163018125, -0.18476708445173168, 0.06479686172555746, -0.11429561729809942, -0.19848051213785628, 0.3902831667992102, 0.1563180291270153, 0.20436777154478314, 0.13153714045755943, 0.2357951063218153, 0.0774074079625711, 0.05339082514296291, 0.1399057644714028, 0.11172720050639183, 0.17022878267291913, 0.002585797717973674, -0.12607439581550114, 0.0714889410725337, 0.11696331510530775] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.