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1,803.02367 | Evidence for a Variable Ultrafast Outflow in the Newly Discovered
Ultraluminous Pulsar NGC 300 ULX-1 | Ultraluminous pulsars are a definite proof that persistent super-Eddington
accretion occurs in nature. They support the scenario according to which most
Ultraluminous X-ray Sources (ULXs) are super-Eddington accretors of stellar
mass rather than sub-Eddington intermediate mass black holes. An important
prediction of theories of supercritical accretion is the existence of powerful
outflows of moderately ionized gas at mildly relativistic speeds. In practice,
the spectral resolution of X-ray gratings such as RGS onboard XMM-Newton is
required to resolve their observational signatures in ULXs. Using RGS, outflows
have been discovered in the spectra of 3 ULXs (none of which are currently
known to be pulsars). Most recently, the fourth ultraluminous pulsar was
discovered in NGC 300. Here we report detection of an ultrafast outflow (UFO)
in the X-ray spectrum of the object, with a significance of more than
3{\sigma}, during one of the two simultaneous observations of the source by
XMM-Newton and NuSTAR in December 2016. The outflow has a projected velocity of
65000 km/s (0.22c) and a high ionisation factor with a log value of 3.9. This
is the first direct evidence for a UFO in a neutron star ULX and also the first
time that this its evidence in a ULX spectrum is seen in both soft and hard
X-ray data simultaneously. We find no evidence of the UFO during the other
observation of the object, which could be explained by either clumpy nature of
the absorber or a slight change in our viewing angle of the accretion flow.
| astro-ph.HE | ultraluminous pulsars are a definite proof that persistent supereddington accretion occurs in nature they support the scenario according to which most ultraluminous xray sources ulxs are supereddington accretors of stellar mass rather than subeddington intermediate mass black holes an important prediction of theories of supercritical accretion is the existence of powerful outflows of moderately ionized gas at mildly relativistic speeds in practice the spectral resolution of xray gratings such as rgs onboard xmmnewton is required to resolve their observational signatures in ulxs using rgs outflows have been discovered in the spectra of 3 ulxs none of which are currently known to be pulsars most recently the fourth ultraluminous pulsar was discovered in ngc 300 here we report detection of an ultrafast outflow ufo in the xray spectrum of the object with a significance of more than 3sigma during one of the two simultaneous observations of the source by xmmnewton and nustar in december 2016 the outflow has a projected velocity of 65000 kms 022c and a high ionisation factor with a log value of 39 this is the first direct evidence for a ufo in a neutron star ulx and also the first time that this its evidence in a ulx spectrum is seen in both soft and hard xray data simultaneously we find no evidence of the ufo during the other observation of the object which could be explained by either clumpy nature of the absorber or a slight change in our viewing angle of the accretion flow | [['ultraluminous', 'pulsars', 'are', 'a', 'definite', 'proof', 'that', 'persistent', 'supereddington', 'accretion', 'occurs', 'in', 'nature', 'they', 'support', 'the', 'scenario', 'according', 'to', 'which', 'most', 'ultraluminous', 'xray', 'sources', 'ulxs', 'are', 'supereddington', 'accretors', 'of', 'stellar', 'mass', 'rather', 'than', 'subeddington', 'intermediate', 'mass', 'black', 'holes', 'an', 'important', 'prediction', 'of', 'theories', 'of', 'supercritical', 'accretion', 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1,803.02368 | Likelihood for Detection of Sub-parsec Supermassive Black Hole Binaries
in Spectroscopic Surveys | Motivated by observational searches for sub-parsec supermassive black hole
binaries (SBHBs) we develop a modular analytic model to determine the
likelihood for detection of SBHBs by ongoing spectroscopic surveys. The model
combines the parametrized rate of orbital evolution of SBHBs in circumbinary
disks with the selection effects of spectroscopic surveys and returns a
multivariate likelihood for SBHB detection. Based on this model we find that in
order to evolve into the detection window of the spectroscopic searches from
larger separations in less than a Hubble time, $10^8M_\odot$ SBHBs must, on
average, experience angular momentum transport faster than that provided by a
disk with accretion rate $0.06\,\dot{M}_E$. Spectroscopic searches with yearly
cadence of observations are in principle sensitive to binaries with orbital
separations $< {\rm few}\times 10^4\, r_g$ ($r_g = GM/c^2$ and $M$ is the
binary mass), and for every one SBHB in this range there should be over 200
more gravitationally bound systems with similar properties, at larger
separations. Furthermore, if spectra of all SBHBs in this separation range
exhibit the AGN-like emission lines utilized by spectroscopic searches, the
projection factors imply five undetected binaries for each observed
$10^8M_\odot$ SBHB with mass ratio $0.3$ and orbital separation $10^4\,r_g$
(and more if some fraction of SBHBs is inactive). This model can be used to
infer the most likely orbital parameters for observed SBHB candidates and to
provide constraints on the rate of orbital evolution of SBHBs, if observed
candidates are shown to be genuine binaries.
| astro-ph.HE astro-ph.GA gr-qc | motivated by observational searches for subparsec supermassive black hole binaries sbhbs we develop a modular analytic model to determine the likelihood for detection of sbhbs by ongoing spectroscopic surveys the model combines the parametrized rate of orbital evolution of sbhbs in circumbinary disks with the selection effects of spectroscopic surveys and returns a multivariate likelihood for sbhb detection based on this model we find that in order to evolve into the detection window of the spectroscopic searches from larger separations in less than a hubble time 108m_odot sbhbs must on average experience angular momentum transport faster than that provided by a disk with accretion rate 006dotm_e spectroscopic searches with yearly cadence of observations are in principle sensitive to binaries with orbital separations rm fewtimes 104 r_g r_g gmc2 and m is the binary mass and for every one sbhb in this range there should be over 200 more gravitationally bound systems with similar properties at larger separations furthermore if spectra of all sbhbs in this separation range exhibit the agnlike emission lines utilized by spectroscopic searches the projection factors imply five undetected binaries for each observed 108m_odot sbhb with mass ratio 03 and orbital separation 104r_g and more if some fraction of sbhbs is inactive this model can be used to infer the most likely orbital parameters for observed sbhb candidates and to provide constraints on the rate of orbital evolution of sbhbs if observed candidates are shown to be genuine binaries | [['motivated', 'by', 'observational', 'searches', 'for', 'subparsec', 'supermassive', 'black', 'hole', 'binaries', 'sbhbs', 'we', 'develop', 'a', 'modular', 'analytic', 'model', 'to', 'determine', 'the', 'likelihood', 'for', 'detection', 'of', 'sbhbs', 'by', 'ongoing', 'spectroscopic', 'surveys', 'the', 'model', 'combines', 'the', 'parametrized', 'rate', 'of', 'orbital', 'evolution', 'of', 'sbhbs', 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1,803.02369 | Subsystem symmetry protected topological order | In this work, we introduce a new type of topological order which is protected
by subsystem symmetries which act on lower dimensional subsets of lattice
many-body system, e.g. along lines or planes in a three dimensional system. The
symmetry groups for such systems exhibit a macroscopic number of generators in
the infinite volume limit. We construct a set of exactly solvable models in
$2d$ and $3d$ which exhibit such subsystem SPT (SSPT) phases with one
dimensional subsystem symmetries. These phases exhibit analogs of phenomena
seen in SPTs protected by global symmetries: gapless edge modes, projective
realizations of the symmetries at the edge and non-local order parameters. Such
SSPT phases are proximate, in theory space, to previously studied phases that
break the subsystem symmetries and phases with fracton order which result upon
gauging them.
| cond-mat.str-el | in this work we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice manybody system eg along lines or planes in a three dimensional system the symmetry groups for such systems exhibit a macroscopic number of generators in the infinite volume limit we construct a set of exactly solvable models in 2d and 3d which exhibit such subsystem spt sspt phases with one dimensional subsystem symmetries these phases exhibit analogs of phenomena seen in spts protected by global symmetries gapless edge modes projective realizations of the symmetries at the edge and nonlocal order parameters such sspt phases are proximate in theory space to previously studied phases that break the subsystem symmetries and phases with fracton order which result upon gauging them | [['in', 'this', 'work', 'we', 'introduce', 'a', 'new', 'type', 'of', 'topological', 'order', 'which', 'is', 'protected', 'by', 'subsystem', 'symmetries', 'which', 'act', 'on', 'lower', 'dimensional', 'subsets', 'of', 'lattice', 'manybody', 'system', 'eg', 'along', 'lines', 'or', 'planes', 'in', 'a', 'three', 'dimensional', 'system', 'the', 'symmetry', 'groups', 'for', 'such', 'systems', 'exhibit', 'a', 'macroscopic', 'number', 'of', 'generators', 'in', 'the', 'infinite', 'volume', 'limit', 'we', 'construct', 'a', 'set', 'of', 'exactly', 'solvable', 'models', 'in', '2d', 'and', '3d', 'which', 'exhibit', 'such', 'subsystem', 'spt', 'sspt', 'phases', 'with', 'one', 'dimensional', 'subsystem', 'symmetries', 'these', 'phases', 'exhibit', 'analogs', 'of', 'phenomena', 'seen', 'in', 'spts', 'protected', 'by', 'global', 'symmetries', 'gapless', 'edge', 'modes', 'projective', 'realizations', 'of', 'the', 'symmetries', 'at', 'the', 'edge', 'and', 'nonlocal', 'order', 'parameters', 'such', 'sspt', 'phases', 'are', 'proximate', 'in', 'theory', 'space', 'to', 'previously', 'studied', 'phases', 'that', 'break', 'the', 'subsystem', 'symmetries', 'and', 'phases', 'with', 'fracton', 'order', 'which', 'result', 'upon', 'gauging', 'them']] | [-0.19507391725253678, 0.21149957149212523, -0.03448384402571876, 0.020990115121231043, -0.017981687031994414, -0.17013266058708715, 0.03832920610859178, 0.3248403768678357, -0.2592487786896527, -0.29770516018782345, 0.1251394503235229, -0.2964883787991633, -0.1476233405799822, 0.11426414650010604, -0.006412900749706012, 0.05297624844886167, -0.04964511199588222, -0.0003347546877549555, -0.1216161550439306, -0.24506985993978841, 0.34023995326719897, -0.0814776337859606, 0.2983491723880844, -0.07029941277508449, 0.07166329356123995, -0.025324824871845487, 0.06737703882171807, 0.05691453910067754, -0.1480084879666193, 0.05717119885629561, 0.26539396146029304, -0.021938431507354618, 0.09966600389408886, -0.45567565126330556, -0.2508107446260134, 0.09698385680514507, 0.12953541179822628, 0.1545556824097648, -0.02127290501073703, -0.3341696849372938, 0.011915465526254778, -0.1824587443633411, -0.1851914288612657, -0.12649070624178066, -0.0038414492562441225, -0.05721011096121449, -0.2007994800665997, 0.08148847730074049, 0.0807730989702242, 0.11780170136694494, -0.03683103171800424, -0.04351778295682393, -0.11345105621564601, 0.11336476213466797, 0.011546400345903927, -0.02961960650938458, 0.05665862799142452, -0.10869053006910717, -0.18702718139191934, 0.39896672584564613, 0.01602879194350199, -0.18785675475023744, 0.2667273544983, -0.12560999590811175, -0.20791304024300516, 0.13154215099556105, 0.14466687080037213, 0.06522505097546355, -0.0743586684199036, 0.11133621598609646, -0.03833400654427959, 0.14652217543487878, 0.005273843509726282, 0.14258081274268156, 0.2546204073718728, 0.09344628476712824, 0.11482565076951694, 0.14335351407367525, -0.012968169581066271, -0.090990399217051, -0.31259878033499017, -0.18230546396435762, -0.1928189985692165, 0.03144354419257576, -0.0533231249341918, -0.17895982820449635, 0.44117765114257546, 0.11227554251235049, 0.18382142713867633, -0.023426843297674804, 0.19284777042781584, 0.10291187345372825, 0.10941960457782436, 0.06308110582789309, 0.16642089460493253, 0.10185661363324389, -0.006366815225438292, -0.20324318393665766, -0.04465656907252155, 0.17989571603659288] |
1,803.0237 | On the need for soft dressing | In order to deal with IR divergences arising in QED or perturbative quantum
gravity scattering processes, one can either calculate inclusive quantities or
use dressed asymptotic states. We consider incoming superpositions of momentum
eigenstates and show that in calculations of cross-sections these two
approaches yield different answers: in the inclusive formalism no interference
occurs for incoming finite superpositions and wavepackets do not scatter at
all, while the dressed formalism yields the expected interference terms. This
suggests that rather than Fock space states, one should use Faddeev-Kulish-type
dressed states to correctly describe physical processes involving incoming
superpositions. We interpret this in terms of selection rules due to large U(1)
gauge symmetries and BMS supertranslations.
| hep-th gr-qc quant-ph | in order to deal with ir divergences arising in qed or perturbative quantum gravity scattering processes one can either calculate inclusive quantities or use dressed asymptotic states we consider incoming superpositions of momentum eigenstates and show that in calculations of crosssections these two approaches yield different answers in the inclusive formalism no interference occurs for incoming finite superpositions and wavepackets do not scatter at all while the dressed formalism yields the expected interference terms this suggests that rather than fock space states one should use faddeevkulishtype dressed states to correctly describe physical processes involving incoming superpositions we interpret this in terms of selection rules due to large u1 gauge symmetries and bms supertranslations | [['in', 'order', 'to', 'deal', 'with', 'ir', 'divergences', 'arising', 'in', 'qed', 'or', 'perturbative', 'quantum', 'gravity', 'scattering', 'processes', 'one', 'can', 'either', 'calculate', 'inclusive', 'quantities', 'or', 'use', 'dressed', 'asymptotic', 'states', 'we', 'consider', 'incoming', 'superpositions', 'of', 'momentum', 'eigenstates', 'and', 'show', 'that', 'in', 'calculations', 'of', 'crosssections', 'these', 'two', 'approaches', 'yield', 'different', 'answers', 'in', 'the', 'inclusive', 'formalism', 'no', 'interference', 'occurs', 'for', 'incoming', 'finite', 'superpositions', 'and', 'wavepackets', 'do', 'not', 'scatter', 'at', 'all', 'while', 'the', 'dressed', 'formalism', 'yields', 'the', 'expected', 'interference', 'terms', 'this', 'suggests', 'that', 'rather', 'than', 'fock', 'space', 'states', 'one', 'should', 'use', 'faddeevkulishtype', 'dressed', 'states', 'to', 'correctly', 'describe', 'physical', 'processes', 'involving', 'incoming', 'superpositions', 'we', 'interpret', 'this', 'in', 'terms', 'of', 'selection', 'rules', 'due', 'to', 'large', 'u1', 'gauge', 'symmetries', 'and', 'bms', 'supertranslations']] | [-0.132719362154603, 0.24857402808473644, -0.09217130532903996, 0.1658511903307434, -0.04416191283131151, -0.1217971122615771, 0.038032936844891604, 0.37136602335210356, -0.19384744199591555, -0.25880322549866314, -0.04231789244659012, -0.3284811909127581, -0.0751845893495816, 0.0963269023122848, -0.025171284106493528, 0.05248806911653706, 0.047978860186828697, -0.005049345532565245, -0.08068608105531894, -0.1979839109013223, 0.36693501492014285, -0.020742932567372918, 0.2866155107039958, 0.056136231911036054, 0.08803116691706236, 0.0798206530889729, -0.031249080239961455, -0.03803437871335648, -0.053162042332847444, 0.06069873975086791, 0.28844078121723477, 0.0629959814333623, 0.1796618452876828, -0.47215367649083156, -0.18766281125967257, 0.0905832783506152, 0.21430568965817137, 0.17837825544536048, 0.02015811513410881, -0.2582508213069689, -0.02369798559188244, -0.19470484479539404, -0.16730721430108783, -0.15336197725680126, -0.024822863388440704, -0.0730153479884653, -0.24946746636747516, 0.0879093877572034, -0.0021845346907087204, -0.04362402970121236, -0.032056597988620136, -0.10949180221151826, -0.04137751893098799, 0.08160595917226081, 0.05816515069766735, -0.014707834580414263, 0.12936644133878872, -0.14675156133099726, -0.20295202593635103, 0.3922469270848004, -0.029390584402660482, -0.2444134885715487, 0.18163083921120102, -0.2032762909433846, -0.1095820228375877, 0.13492022615225455, 0.15700109521692088, 0.11836129034470234, -0.15347867883974686, 0.08640552500323143, 0.040711546034019976, 0.1262806577558097, 0.14041538039912535, 0.17553917036171438, 0.2038254323867607, 0.005183693691963397, 0.0010170301954661096, 0.09848398720246873, -0.021555502811679617, -0.16191771391562984, -0.37375833534835173, -0.11701264013241339, -0.13340839943079377, 0.10613548750877401, -0.029730308388934645, -0.15906978651349032, 0.33595958149609423, 0.16290812331551155, 0.21307417886756802, 0.025551792749735926, 0.29828043849972474, 0.1594780151208397, 0.08808554329776339, 0.06509410500543059, 0.2364645724238861, 0.13445942190134832, 0.04649911637950156, -0.26623929069319274, 0.009204655097814143, 0.05948788854792448] |
1,803.02371 | Merger types forming the Virgo cluster in recent gigayears | As our closest cluster-neighbor, the Virgo cluster of galaxies is intensely
studied by observers to unravel the mysteries of galaxy evolution within
clusters. At this stage, cosmological numerical simulations of the cluster are
useful to efficiently test theories and calibrate model. However, it is not
trivial to select the perfect simulacrum of the Virgo cluster to fairly compare
in detail its observed and simulated galaxy populations that are affected by
the type and history of the cluster. Determining precisely the properties of
Virgo for a later selection of simulated clusters becomes essential. It is
still not clear how to access some of these properties such as the past history
of the Virgo cluster from current observations. Therefore, directly producing
effective simulacra of the Virgo cluster is inevitable. Efficient simulacra of
the Virgo cluster can be obtained via simulations that resemble the local
Universe down to the cluster scale. In such simulations, Virgo-like halos form
in the proper local environment and permit assessing the most probable
formation history of the cluster. Studies based on these simulations have
already revealed that the Virgo cluster has had a quiet merging history over
the last seven gigayears and that the cluster accretes matter along a
preferential direction. This paper reveals that in addition such Virgo halos
have had on average only one merger larger than about a tenth of their mass at
redshift zero within the last four gigayears. This second branch (by opposition
to main branch) formed in a given sub-region and merged recently (within the
last gigayear). These properties are not shared with a set of random halos
within the same mass range. This study extends [truncated]
| astro-ph.CO astro-ph.GA | as our closest clusterneighbor the virgo cluster of galaxies is intensely studied by observers to unravel the mysteries of galaxy evolution within clusters at this stage cosmological numerical simulations of the cluster are useful to efficiently test theories and calibrate model however it is not trivial to select the perfect simulacrum of the virgo cluster to fairly compare in detail its observed and simulated galaxy populations that are affected by the type and history of the cluster determining precisely the properties of virgo for a later selection of simulated clusters becomes essential it is still not clear how to access some of these properties such as the past history of the virgo cluster from current observations therefore directly producing effective simulacra of the virgo cluster is inevitable efficient simulacra of the virgo cluster can be obtained via simulations that resemble the local universe down to the cluster scale in such simulations virgolike halos form in the proper local environment and permit assessing the most probable formation history of the cluster studies based on these simulations have already revealed that the virgo cluster has had a quiet merging history over the last seven gigayears and that the cluster accretes matter along a preferential direction this paper reveals that in addition such virgo halos have had on average only one merger larger than about a tenth of their mass at redshift zero within the last four gigayears this second branch by opposition to main branch formed in a given subregion and merged recently within the last gigayear these properties are not shared with a set of random halos within the same mass range this study extends truncated | [['as', 'our', 'closest', 'clusterneighbor', 'the', 'virgo', 'cluster', 'of', 'galaxies', 'is', 'intensely', 'studied', 'by', 'observers', 'to', 'unravel', 'the', 'mysteries', 'of', 'galaxy', 'evolution', 'within', 'clusters', 'at', 'this', 'stage', 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1,803.02372 | Soft evolution after a hard scattering process | The dynamical cascade of momentum, spin, charge, and other quantum numbers
from an ultra-violet process into the infra-red is a fundamental concern for
asymptotically free or conformal gauge field theories. It is also a practical
concern for any high energy scattering experiment with energies above tens of
GeV. We present a formulation of the evolution equation that governs this
cascade, the Banfi-Marchesini-Smye equation, from both an effective field
theory point of view and a direct diagrammatic argument. The equation uses
exact momentum conservation, and is applicable to both scattering with initial
and final state hard partons. The direct diagrammatic formulation is organized
by constructing a generating functional. This functional is also automatically
realized with soft wilson lines and collinear field operators coupled to
external currents. The two approaches are directly connected by reverse
engineering the Lehman-Symanzik-Zimmermann reduction procedure to insert states
within the soft and collinear matrix elements. At leading order, the cascade is
completely controlled by the soft anomalous dimension. By decomposing the
anomalous dimension into on-shell and off-shell regions as would be realized in
the effective field theory approach with a Glauber mediating potential, we are
forced to choose a transverse momentum ordering in order to trivialize the
overlap between Glauber potential contributions and the pure soft region. The
evolution equation then naturally incorporates factorization violating effects
driven by off-shell exchanges for active partons. Finally, we examine the
consequences of abandoning exact momentum conservation as well as terminating
the evolution at the largest inclusive scale, procedures often used to simplify
the analysis of the cascade.
| hep-ph hep-th | the dynamical cascade of momentum spin charge and other quantum numbers from an ultraviolet process into the infrared is a fundamental concern for asymptotically free or conformal gauge field theories it is also a practical concern for any high energy scattering experiment with energies above tens of gev we present a formulation of the evolution equation that governs this cascade the banfimarchesinismye equation from both an effective field theory point of view and a direct diagrammatic argument the equation uses exact momentum conservation and is applicable to both scattering with initial and final state hard partons the direct diagrammatic formulation is organized by constructing a generating functional this functional is also automatically realized with soft wilson lines and collinear field operators coupled to external currents the two approaches are directly connected by reverse engineering the lehmansymanzikzimmermann reduction procedure to insert states within the soft and collinear matrix elements at leading order the cascade is completely controlled by the soft anomalous dimension by decomposing the anomalous dimension into onshell and offshell regions as would be realized in the effective field theory approach with a glauber mediating potential we are forced to choose a transverse momentum ordering in order to trivialize the overlap between glauber potential contributions and the pure soft region the evolution equation then naturally incorporates factorization violating effects driven by offshell exchanges for active partons finally we examine the consequences of abandoning exact momentum conservation as well as terminating the evolution at the largest inclusive scale procedures often used to simplify the analysis of the cascade | [['the', 'dynamical', 'cascade', 'of', 'momentum', 'spin', 'charge', 'and', 'other', 'quantum', 'numbers', 'from', 'an', 'ultraviolet', 'process', 'into', 'the', 'infrared', 'is', 'a', 'fundamental', 'concern', 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1,803.02373 | The SLUGGS Survey: A comparison of total-mass profiles of early-type
galaxies from observations and cosmological simulations, to $\sim$4 effective
radii | We apply the Jeans Anisotropic MGE (JAM) dynamical modelling method to SAGES
Legacy Unifying Globulars and GalaxieS (SLUGGS) survey data of early-type
galaxies in the stellar mass range $10^{10}<M_*/{\rm M}_{\odot}<10^{11.6}$ that
cover a large radial range of $0.1-4.0$ effective radii. We combine SLUGGS and
ATLAS$^{\rm 3D}$ datasets to model the total-mass profiles of a sample of 21
fast-rotator galaxies, utilising a hyperparameter method to combine the two
independent datasets. The total-mass density profile slope values derived for
these galaxies are consistent with those measured in the inner regions of
galaxies by other studies. Furthermore, the total-mass density slopes
($\gamma_{\rm tot}$) appear to be universal over this broad stellar mass range,
with an average value of $\gamma_{\rm tot}=-2.12\,\pm\,0.05$, i.e. slightly
steeper than isothermal. We compare our results to model galaxies from the
Magneticum and EAGLE cosmological hydrodynamic simulations, in order to probe
the mechanisms that are responsible for varying total-mass density profile
slopes. The simulated-galaxy slopes are shallower than the observed values by
$\sim0.1-0.3$, indicating that the physical processes shaping the mass
distributions of galaxies in cosmological simulations are still incomplete. For
galaxies with $M_*>10^{10.7}{\rm M}_{\odot}$ in the Magneticum simulations, we
identify a significant anticorrelation between total-mass density profile
slopes and the fraction of stellar mass formed ex situ (i.e. accreted), whereas
this anticorrelation is weaker for lower stellar masses, implying that the
measured total mass density slopes for low-mass galaxies are less likely to be
determined by merger activity.
| astro-ph.GA | we apply the jeans anisotropic mge jam dynamical modelling method to sages legacy unifying globulars and galaxies sluggs survey data of earlytype galaxies in the stellar mass range 1010m_rm m_odot10116 that cover a large radial range of 0140 effective radii we combine sluggs and atlasrm 3d datasets to model the totalmass profiles of a sample of 21 fastrotator galaxies utilising a hyperparameter method to combine the two independent datasets the totalmass density profile slope values derived for these galaxies are consistent with those measured in the inner regions of galaxies by other studies furthermore the totalmass density slopes gamma_rm tot appear to be universal over this broad stellar mass range with an average value of gamma_rm tot212pm005 ie slightly steeper than isothermal we compare our results to model galaxies from the magneticum and eagle cosmological hydrodynamic simulations in order to probe the mechanisms that are responsible for varying totalmass density profile slopes the simulatedgalaxy slopes are shallower than the observed values by sim0103 indicating that the physical processes shaping the mass distributions of galaxies in cosmological simulations are still incomplete for galaxies with m_10107rm m_odot in the magneticum simulations we identify a significant anticorrelation between totalmass density profile slopes and the fraction of stellar mass formed ex situ ie accreted whereas this anticorrelation is weaker for lower stellar masses implying that the measured total mass density slopes for lowmass galaxies are less likely to be determined by merger activity | [['we', 'apply', 'the', 'jeans', 'anisotropic', 'mge', 'jam', 'dynamical', 'modelling', 'method', 'to', 'sages', 'legacy', 'unifying', 'globulars', 'and', 'galaxies', 'sluggs', 'survey', 'data', 'of', 'earlytype', 'galaxies', 'in', 'the', 'stellar', 'mass', 'range', '1010m_rm', 'm_odot10116', 'that', 'cover', 'a', 'large', 'radial', 'range', 'of', '0140', 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1,803.02374 | Identifying Mergers Using Quantitative Morphologies in Zoom Simulations
of High-Redshift Galaxies | Non-parametric morphology measures are a powerful tool for identifying galaxy
mergers at low redshifts. We employ cosmological zoom simulations using Gizmo
with the Mufasa feedback scheme, post-processed using 3D dust radiative
transfer into mock observations, to study whether common morphological measures
Gini G, M20, concentration C, and asymmetry A are effective at identifying
major galaxy mergers at z ~ 2 - 4, i.e. "Cosmic Noon". Our zoom suite covers
galaxies with 10^8.6 < M_* < 10^11 M_sun at z ~ 2, and broadly reproduces key
global galaxy observations. Our primary result is that these morphological
measures are unable to robustly pick out galaxies currently undergoing mergers
during Cosmic Noon, typically performing no better than a random guess. This
improves only marginally if we consider whether galaxies have undergone a
merger within the last Gyr. When also considering minor mergers, galaxies
display no trend of moving towards the merger regime with increasing merger
ratio. From z = 4 -> 2, galaxies move from the non-merger towards the merger
regime in all statistics, but this is primarily an effect of mass: Above a
given noise level, higher mass galaxies display a more complex outer morphology
induced by their clustered environment. We conclude that during Cosmic Noon,
these morphological statistics are of limited value in identifying galaxy
mergers.
| astro-ph.GA | nonparametric morphology measures are a powerful tool for identifying galaxy mergers at low redshifts we employ cosmological zoom simulations using gizmo with the mufasa feedback scheme postprocessed using 3d dust radiative transfer into mock observations to study whether common morphological measures gini g m20 concentration c and asymmetry a are effective at identifying major galaxy mergers at z 2 4 ie cosmic noon our zoom suite covers galaxies with 1086 m_ 1011 m_sun at z 2 and broadly reproduces key global galaxy observations our primary result is that these morphological measures are unable to robustly pick out galaxies currently undergoing mergers during cosmic noon typically performing no better than a random guess this improves only marginally if we consider whether galaxies have undergone a merger within the last gyr when also considering minor mergers galaxies display no trend of moving towards the merger regime with increasing merger ratio from z 4 2 galaxies move from the nonmerger towards the merger regime in all statistics but this is primarily an effect of mass above a given noise level higher mass galaxies display a more complex outer morphology induced by their clustered environment we conclude that during cosmic noon these morphological statistics are of limited value in identifying galaxy mergers | [['nonparametric', 'morphology', 'measures', 'are', 'a', 'powerful', 'tool', 'for', 'identifying', 'galaxy', 'mergers', 'at', 'low', 'redshifts', 'we', 'employ', 'cosmological', 'zoom', 'simulations', 'using', 'gizmo', 'with', 'the', 'mufasa', 'feedback', 'scheme', 'postprocessed', 'using', '3d', 'dust', 'radiative', 'transfer', 'into', 'mock', 'observations', 'to', 'study', 'whether', 'common', 'morphological', 'measures', 'gini', 'g', 'm20', 'concentration', 'c', 'and', 'asymmetry', 'a', 'are', 'effective', 'at', 'identifying', 'major', 'galaxy', 'mergers', 'at', 'z', '2', '4', 'ie', 'cosmic', 'noon', 'our', 'zoom', 'suite', 'covers', 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1,803.02375 | The Kormendy Relation of Galaxies in the Frontier Fields Clusters: Abell
S1063 and MACS J1149.5+2223 | We analyse the Kormendy relations (KRs) of the two Frontier Fields clusters,
Abell S1063, at z = 0.348, and MACS J1149.5+2223, at z = 0.542, exploiting very
deep Hubble Space Telescope photometry and VLT/MUSE integral field
spectroscopy. With this novel dataset, we are able to investigate how the KR
parameters depend on the cluster galaxy sample selection and how this affects
studies of galaxy evolution based on the KR. We define and compare four
different galaxy samples according to: (a) S\'ersic indices: early-type
('ETG'), (b) visual inspection: 'ellipticals', (c) colours: 'red', (d) spectral
properties: 'passive'. The classification is performed for a complete sample of
galaxies with m$_{\textit{F814W}} \le$ 22.5 ABmag (M$_{*}$ $\gtrsim 10^{10.0}$
M$_{\odot}$). To derive robust galaxy structural parameters, we use two
methods: (1) an iterative estimate of structural parameters using images of
increasing size, in order to deal with closely separated galaxies and (2)
different background estimations, to deal with the Intracluster light
contamination. The comparison between the KRs obtained from the different
samples suggests that the sample selection could affect the estimate of the
best-fitting KR parameters. The KR built with ETGs is fully consistent with the
one obtained for ellipticals and passive. On the other hand, the KR slope built
on the red sample is only marginally consistent with those obtained with the
other samples. We also release the photometric catalogue with structural
parameters for the galaxies included in the present analysis.
| astro-ph.GA | we analyse the kormendy relations krs of the two frontier fields clusters abell s1063 at z 0348 and macs j114952223 at z 0542 exploiting very deep hubble space telescope photometry and vltmuse integral field spectroscopy with this novel dataset we are able to investigate how the kr parameters depend on the cluster galaxy sample selection and how this affects studies of galaxy evolution based on the kr we define and compare four different galaxy samples according to a sersic indices earlytype etg b visual inspection ellipticals c colours red d spectral properties passive the classification is performed for a complete sample of galaxies with m_textitf814w le 225 abmag m_ gtrsim 10100 m_odot to derive robust galaxy structural parameters we use two methods 1 an iterative estimate of structural parameters using images of increasing size in order to deal with closely separated galaxies and 2 different background estimations to deal with the intracluster light contamination the comparison between the krs obtained from the different samples suggests that the sample selection could affect the estimate of the bestfitting kr parameters the kr built with etgs is fully consistent with the one obtained for ellipticals and passive on the other hand the kr slope built on the red sample is only marginally consistent with those obtained with the other samples we also release the photometric catalogue with structural parameters for the galaxies included in the present analysis | [['we', 'analyse', 'the', 'kormendy', 'relations', 'krs', 'of', 'the', 'two', 'frontier', 'fields', 'clusters', 'abell', 's1063', 'at', 'z', '0348', 'and', 'macs', 'j114952223', 'at', 'z', '0542', 'exploiting', 'very', 'deep', 'hubble', 'space', 'telescope', 'photometry', 'and', 'vltmuse', 'integral', 'field', 'spectroscopy', 'with', 'this', 'novel', 'dataset', 'we', 'are', 'able', 'to', 'investigate', 'how', 'the', 'kr', 'parameters', 'depend', 'on', 'the', 'cluster', 'galaxy', 'sample', 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1,803.02376 | Magnetic field strength of a neutron-star-powered ultraluminous X-ray
source | Ultraluminous X-ray sources (ULXs) are bright X-ray sources in nearby
galaxies not associated with the central supermassive black hole. Their
luminosities imply they are powered by either an extreme accretion rate onto a
compact stellar remnant, or an intermediate mass ($\sim100-10^5$ M$_{\odot}$)
black hole. The recent detection of coherent pulsations coming from three
bright ULXs demonstrates that some of these sources are powered by accretion
onto a neutron star, implying accretion rates significantly in excess of the
Eddington limit, a high degree of geometric beaming, or both. The physical
challenges associated with the high implied accretion rates can be mitigated if
the neutron star surface field is high - in the magnetar regime ($10^{14}$ G),
since this suppresses the electron scattering cross section, reducing the
radiation pressure that chokes off accretion for high luminosities. One of the
few ways to determine surface magnetic fields is through the detection of
cyclotron resonance scattering features (CRSFs) produced by the transition of
charged particles between quantized Landau levels. To date, CRSFs have only
been detected in Galactic accreting pulsars. Here we present the detection at
3.8-{\sigma} significance of a strong absorption line at a rest-frame energy of
4.5 keV in the Chandra spectrum of a ULX in M51. We find that this feature is
likely to be a CRSF produced by the strong magnetic field of a neutron star.
Assuming scattering off electrons, the magnetic field strength is implied to be
$\sim10^{11}$ G, however the line is narrower than any electron CRSFs
previously observed, and assuming thermal broadening, the implied temperature
is significantly cooler than the accretion disk or column. The line shape is,
however, consistent with a proton resonance scattering feature, implying that
the neutron star has a magnetic field near the surface of B$\sim10^{15}$ G.
| astro-ph.HE | ultraluminous xray sources ulxs are bright xray sources in nearby galaxies not associated with the central supermassive black hole their luminosities imply they are powered by either an extreme accretion rate onto a compact stellar remnant or an intermediate mass sim100105 m_odot black hole the recent detection of coherent pulsations coming from three bright ulxs demonstrates that some of these sources are powered by accretion onto a neutron star implying accretion rates significantly in excess of the eddington limit a high degree of geometric beaming or both the physical challenges associated with the high implied accretion rates can be mitigated if the neutron star surface field is high in the magnetar regime 1014 g since this suppresses the electron scattering cross section reducing the radiation pressure that chokes off accretion for high luminosities one of the few ways to determine surface magnetic fields is through the detection of cyclotron resonance scattering features crsfs produced by the transition of charged particles between quantized landau levels to date crsfs have only been detected in galactic accreting pulsars here we present the detection at 38sigma significance of a strong absorption line at a restframe energy of 45 kev in the chandra spectrum of a ulx in m51 we find that this feature is likely to be a crsf produced by the strong magnetic field of a neutron star assuming scattering off electrons the magnetic field strength is implied to be sim1011 g however the line is narrower than any electron crsfs previously observed and assuming thermal broadening the implied temperature is significantly cooler than the accretion disk or column the line shape is however consistent with a proton resonance scattering feature implying that the neutron star has a magnetic field near the surface of bsim1015 g | [['ultraluminous', 'xray', 'sources', 'ulxs', 'are', 'bright', 'xray', 'sources', 'in', 'nearby', 'galaxies', 'not', 'associated', 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1,803.02377 | The equivariant volumes of the permutahedron | We consider the action of the symmetric group $S_n$ on the permutahedron
$\Pi_n$. We prove that if $\sigma$ is a permutation of $S_n$ which has $m$
cycles of lengths $l_1, \ldots, l_m$, then the subpolytope of $\Pi_n$ fixed by
$\sigma$ has normalized volume $n^{m-2} \gcd(l_1, \ldots, l_m)$.
| math.CO | we consider the action of the symmetric group s_n on the permutahedron pi_n we prove that if sigma is a permutation of s_n which has m cycles of lengths l_1 ldots l_m then the subpolytope of pi_n fixed by sigma has normalized volume nm2 gcdl_1 ldots l_m | [['we', 'consider', 'the', 'action', 'of', 'the', 'symmetric', 'group', 's_n', 'on', 'the', 'permutahedron', 'pi_n', 'we', 'prove', 'that', 'if', 'sigma', 'is', 'a', 'permutation', 'of', 's_n', 'which', 'has', 'm', 'cycles', 'of', 'lengths', 'l_1', 'ldots', 'l_m', 'then', 'the', 'subpolytope', 'of', 'pi_n', 'fixed', 'by', 'sigma', 'has', 'normalized', 'volume', 'nm2', 'gcdl_1', 'ldots', 'l_m']] | [-0.2419212843536946, 0.21944783769709908, -0.08952283466477758, -0.0042237039812354615, 0.009438679447276112, -0.12436975590358286, 0.004716428077739218, 0.364491060335675, -0.32641621419916983, -0.1427374602429589, 0.08543097814949958, -0.33997805157433386, -0.09085834018238213, 0.06837735830745457, -0.13441884961060208, -0.06199640388924466, 0.009361810293858465, 0.2350815917345007, -0.12453872574311074, -0.2576039240381721, 0.26593282639615884, -0.0991607122629395, 0.17377333486776636, -0.03997373641671046, 0.13336645111279644, 0.020335253894976948, 0.016454608625043995, -0.00963727846417738, -0.23195171439795598, 0.06508350761040398, 0.22197036003774923, 0.1433962554033117, 0.1991121428006369, -0.3452807229579143, -0.10015107683189538, 0.2830998958290919, 0.20769279703254934, -0.10734461277530974, 0.03953830347366064, -0.23434870888519546, 0.22359578554903198, -0.132258259549575, -0.07745075477894557, 0.037848356822708054, 0.20848910267586293, -0.00929754648519599, -0.2834525007511611, 0.028542495423765933, 0.13128250373689376, 0.11090099684003255, 0.10243542678654194, -0.2804653208257388, -0.09627853672440245, 0.09611884900115673, 0.06818977624188056, 0.11491094416250354, 0.09862964194389465, -0.019285618084604324, -0.07140869581464517, 0.42210051150101685, -0.05277870559012112, -0.24365280665781186, -0.05258291793744201, -0.20274832576472798, -0.17526675663564517, 0.0758517482722907, 0.07876052511046114, 0.18037803564220667, -0.018421101485095594, 0.25615598172273324, -0.2439188756170156, 0.1396814633601183, 0.14736375449549244, -0.009870542466397519, 0.13413864556376054, 0.07710903301916044, 0.11390967270278413, 0.14292809078545796, -0.031158923581445022, 0.009610868565252294, -0.3768165416043738, -0.11143745336195697, -0.18451902448483135, 0.19708818658862426, -0.2050536720122656, -0.09066760934808332, 0.30156190822953766, 0.03616675412606286, 0.19289072646136882, 0.20570171159013864, 0.12250566649574625, 0.09010568234826559, 0.0713276116217932, 0.08625545432669637, -0.01853800091244604, 0.20700068897871382, -0.16379199252949786, -0.22451938267635263, -0.045194515148582665, 0.22825971782288473] |
1,803.02378 | Linearized Flux Evolution (LiFE): A Technique for Rapidly Adapting
Fluxes from Full-Physics Radiative Transfer Models | Solar and thermal radiation are critical aspects of planetary climate, with
gradients in radiative energy fluxes driving heating and cooling. Climate
models require that radiative transfer tools be versatile, computationally
efficient, and accurate. Here, we describe a technique that uses an accurate
full-physics radiative transfer model to generate a set of atmospheric
radiative quantities which can be used to linearly adapt radiative flux
profiles to changes in the atmospheric and surface state -- the Linearized Flux
Evolution (LiFE) approach. These radiative quantities describe how each model
layer in a plane-parallel atmosphere reflects and transmits light, as well as
how the layer generates diffuse radiation by thermal emission and by scattering
light from the direct solar beam. By computing derivatives of these layer
radiative properties with respect to dynamic elements of the atmospheric state,
we can then efficiently adapt the flux profiles computed by the full-physics
model to new atmospheric states. We validate the LiFE approach, and then apply
this approach to Mars, Earth, and Venus, demonstrating the information
contained in the layer radiative properties and their derivatives, as well as
how the LiFE approach can be used to determine the thermal structure of
radiative and radiative-convective equilibrium states in one-dimensional
atmospheric models.
| astro-ph.EP | solar and thermal radiation are critical aspects of planetary climate with gradients in radiative energy fluxes driving heating and cooling climate models require that radiative transfer tools be versatile computationally efficient and accurate here we describe a technique that uses an accurate fullphysics radiative transfer model to generate a set of atmospheric radiative quantities which can be used to linearly adapt radiative flux profiles to changes in the atmospheric and surface state the linearized flux evolution life approach these radiative quantities describe how each model layer in a planeparallel atmosphere reflects and transmits light as well as how the layer generates diffuse radiation by thermal emission and by scattering light from the direct solar beam by computing derivatives of these layer radiative properties with respect to dynamic elements of the atmospheric state we can then efficiently adapt the flux profiles computed by the fullphysics model to new atmospheric states we validate the life approach and then apply this approach to mars earth and venus demonstrating the information contained in the layer radiative properties and their derivatives as well as how the life approach can be used to determine the thermal structure of radiative and radiativeconvective equilibrium states in onedimensional atmospheric models | [['solar', 'and', 'thermal', 'radiation', 'are', 'critical', 'aspects', 'of', 'planetary', 'climate', 'with', 'gradients', 'in', 'radiative', 'energy', 'fluxes', 'driving', 'heating', 'and', 'cooling', 'climate', 'models', 'require', 'that', 'radiative', 'transfer', 'tools', 'be', 'versatile', 'computationally', 'efficient', 'and', 'accurate', 'here', 'we', 'describe', 'a', 'technique', 'that', 'uses', 'an', 'accurate', 'fullphysics', 'radiative', 'transfer', 'model', 'to', 'generate', 'a', 'set', 'of', 'atmospheric', 'radiative', 'quantities', 'which', 'can', 'be', 'used', 'to', 'linearly', 'adapt', 'radiative', 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1,803.02379 | Clues about the scarcity of stripped-envelope stars from the
evolutionary state of the sdO+Be binary system phi Persei | Stripped-envelope stars (SESs) form in binary systems after losing mass
through Roche-lobe overflow. They bear astrophysical significance as sources of
UV and ionizing radiation in older stellar populations and, if sufficiently
massive, as stripped supernova progenitors. Binary evolutionary models predict
them to be common, but only a handful of subdwarfs (i.e., SESs) with B-type
companions are known. This could be the result of observational biases
hindering detection, or an incorrect understanding of binary evolution. We
reanalyze the well-studied post-interaction binary phi Persei. Recently, new
data improved the orbital solution of the system, which contains a ~1.2 Msun
SES and a rapidly rotating ~9.6 Msun Be star. We compare with an extensive grid
of evolutionary models using a Bayesian approach and find initial masses of the
progenitor of 7.2+/-0.4 Msun for the SES and 3.8+/-0.4 Msun for the Be star.
The system must have evolved through near-conservative mass transfer. These
findings are consistent with earlier studies. The age we obtain, 57+/-9 Myr, is
in excellent agreement with the age of the alpha Persei cluster. We note that
neither star was initially massive enough to produce a core-collapse supernova,
but mass exchange pushed the Be star above the mass threshold. We find that the
subdwarf is overluminous for its mass by almost an order of magnitude, compared
to the expectations for a helium core burning star. We can only reconcile this
if the subdwarf is in a late phase of helium shell burning, which lasts only
2-3% of the total lifetime as a subdwarf. This could imply that up to ~50 less
evolved, dimmer subdwarfs exist for each system similar to phi Persei. Our
findings can be interpreted as a strong indication that a substantial
population of SESs indeed exists, but has so far evaded detection because of
observational biases and lack of large-scale systematic searches.
| astro-ph.SR | strippedenvelope stars sess form in binary systems after losing mass through rochelobe overflow they bear astrophysical significance as sources of uv and ionizing radiation in older stellar populations and if sufficiently massive as stripped supernova progenitors binary evolutionary models predict them to be common but only a handful of subdwarfs ie sess with btype companions are known this could be the result of observational biases hindering detection or an incorrect understanding of binary evolution we reanalyze the wellstudied postinteraction binary phi persei recently new data improved the orbital solution of the system which contains a 12 msun ses and a rapidly rotating 96 msun be star we compare with an extensive grid of evolutionary models using a bayesian approach and find initial masses of the progenitor of 7204 msun for the ses and 3804 msun for the be star the system must have evolved through nearconservative mass transfer these findings are consistent with earlier studies the age we obtain 579 myr is in excellent agreement with the age of the alpha persei cluster we note that neither star was initially massive enough to produce a corecollapse supernova but mass exchange pushed the be star above the mass threshold we find that the subdwarf is overluminous for its mass by almost an order of magnitude compared to the expectations for a helium core burning star we can only reconcile this if the subdwarf is in a late phase of helium shell burning which lasts only 23 of the total lifetime as a subdwarf this could imply that up to 50 less evolved dimmer subdwarfs exist for each system similar to phi persei our findings can be interpreted as a strong indication that a substantial population of sess indeed exists but has so far evaded detection because of observational biases and lack of largescale systematic searches | [['strippedenvelope', 'stars', 'sess', 'form', 'in', 'binary', 'systems', 'after', 'losing', 'mass', 'through', 'rochelobe', 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1,803.0238 | Fast Cylinder and Plane Extraction from Depth Cameras for Visual
Odometry | This paper presents CAPE, a method to extract planes and cylinder segments
from organized point clouds, which processes 640x480 depth images on a single
CPU core at an average of 300 Hz, by operating on a grid of planar cells.
While, compared to state-of-the-art plane extraction, the latency of CAPE is
more consistent and 4-10 times faster, depending on the scene, we also
demonstrate empirically that applying CAPE to visual odometry can improve
trajectory estimation on scenes made of cylindrical surfaces (e.g. tunnels),
whereas using a plane extraction approach that is not curve-aware deteriorates
performance on these scenes. To use these geometric primitives in visual
odometry, we propose extending a probabilistic RGB-D odometry framework based
on points, lines and planes to cylinder primitives. Following this framework,
CAPE runs on fused depth maps and the parameters of cylinders are modelled
probabilistically to account for uncertainty and weight accordingly the pose
optimization residuals.
| cs.CV cs.RO | this paper presents cape a method to extract planes and cylinder segments from organized point clouds which processes 640x480 depth images on a single cpu core at an average of 300 hz by operating on a grid of planar cells while compared to stateoftheart plane extraction the latency of cape is more consistent and 410 times faster depending on the scene we also demonstrate empirically that applying cape to visual odometry can improve trajectory estimation on scenes made of cylindrical surfaces eg tunnels whereas using a plane extraction approach that is not curveaware deteriorates performance on these scenes to use these geometric primitives in visual odometry we propose extending a probabilistic rgbd odometry framework based on points lines and planes to cylinder primitives following this framework cape runs on fused depth maps and the parameters of cylinders are modelled probabilistically to account for uncertainty and weight accordingly the pose optimization residuals | [['this', 'paper', 'presents', 'cape', 'a', 'method', 'to', 'extract', 'planes', 'and', 'cylinder', 'segments', 'from', 'organized', 'point', 'clouds', 'which', 'processes', '640x480', 'depth', 'images', 'on', 'a', 'single', 'cpu', 'core', 'at', 'an', 'average', 'of', '300', 'hz', 'by', 'operating', 'on', 'a', 'grid', 'of', 'planar', 'cells', 'while', 'compared', 'to', 'stateoftheart', 'plane', 'extraction', 'the', 'latency', 'of', 'cape', 'is', 'more', 'consistent', 'and', '410', 'times', 'faster', 'depending', 'on', 'the', 'scene', 'we', 'also', 'demonstrate', 'empirically', 'that', 'applying', 'cape', 'to', 'visual', 'odometry', 'can', 'improve', 'trajectory', 'estimation', 'on', 'scenes', 'made', 'of', 'cylindrical', 'surfaces', 'eg', 'tunnels', 'whereas', 'using', 'a', 'plane', 'extraction', 'approach', 'that', 'is', 'not', 'curveaware', 'deteriorates', 'performance', 'on', 'these', 'scenes', 'to', 'use', 'these', 'geometric', 'primitives', 'in', 'visual', 'odometry', 'we', 'propose', 'extending', 'a', 'probabilistic', 'rgbd', 'odometry', 'framework', 'based', 'on', 'points', 'lines', 'and', 'planes', 'to', 'cylinder', 'primitives', 'following', 'this', 'framework', 'cape', 'runs', 'on', 'fused', 'depth', 'maps', 'and', 'the', 'parameters', 'of', 'cylinders', 'are', 'modelled', 'probabilistically', 'to', 'account', 'for', 'uncertainty', 'and', 'weight', 'accordingly', 'the', 'pose', 'optimization', 'residuals']] | [-0.1051753329571026, 0.027055469525609322, -0.0719889287557453, -0.0012098286091350018, -0.07927840038513144, -0.11975661526899785, 0.06474314314701284, 0.451986389371256, -0.23412158963580926, -0.3251135443150997, 0.10705160568390662, -0.28744522848476967, -0.10858491473598406, 0.23604009031201711, -0.18352900808987518, 0.06573094395144533, 0.14380269427473347, 0.002706473485256235, -0.059456267814772826, -0.22615373664923633, 0.25821737401536665, 0.03167673669134577, 0.2982267589494586, 0.02121218469692394, 0.15119288012579393, 0.0009012912741551797, -0.010647439893800766, 0.020754758634914956, -0.10612204762224185, 0.18094735243047277, 0.23440564408432693, 0.12866910370299592, 0.19685096316039563, -0.4327014609364172, -0.20895122754637366, 0.013566345213912428, 0.15961872287744577, 0.03612074794014916, -0.005353352940971187, -0.3468415785456697, 0.07620234523744633, -0.11149838808303078, -0.03394489130626122, -0.04641312468796968, 0.024330548011542608, -0.002968636937827493, -0.25745078634781143, 0.03819051625498105, 0.033334079305641355, 0.11007471594338615, -0.046745023615658285, -0.11941363893138866, 0.0010570996161550284, 0.15248835666726032, -0.007185145132243633, 0.06625943334152301, 0.20365174105856568, -0.1243300929510345, -0.09986865298667302, 0.3856568688961367, -0.04103615390447279, -0.21133890298117572, 0.1848312718126302, -0.06417364003447194, -0.09394931508228183, 0.14345023778577645, 0.2515694805715854, 0.11649639207171276, -0.1535606998888155, 0.006104742227665459, -0.04019289766748746, 0.21865759484566905, 0.13320293374670047, -0.06510345950877915, 0.21130432402404645, 0.20914119692519306, 0.09347771697367231, 0.12511571559628162, -0.18726604424261797, -0.08594846276023115, -0.22500005846532684, -0.08835547721168648, -0.14103787693815928, -0.05339318604354048, -0.10855982418433996, -0.15782092285963395, 0.39407482580281794, 0.22631687378821275, 0.23801222906758387, 0.09091769279834504, 0.3948666284730037, 0.031012032041326167, 0.07594876707221071, 0.10949048972999056, 0.18474373008628997, 0.03260084841710826, 0.09334862590301782, -0.14711245379643514, 0.04889328276369876, 0.08938067072536797] |
1,803.02381 | Evolution of the Stellar Mass Function in Multiple-Population Globular
Clusters | We present the results of a survey of N-body simulations aimed at studying
the effects of the long-term dynamical evolution on the stellar mass function
(MF) of multiple stellar populations in globular clusters. Our simulations show
that if first-(1G) and second-generation (2G) stars have the same initial MF
(IMF), the global MFs of the two populations are affected similarly by
dynamical evolution and no significant differences between the 1G and the 2G
MFs arise during the cluster's evolution. If the two populations have different
IMFs, dynamical effects do not completely erase memory of the initial
differences. Should observations find differences between the global 1G and 2G
MF, these would reveal the fingerprints of differences in their IMFs.
Irrespective of whether the 1G and 2G populations have the same global IMF or
not, dynamical effects can produce differences between the local (measured at
various distances from the cluster centre) 1G and 2G MFs; these differences are
a manifestation of the process of mass segregation in populations with
different initial structural properties. In dynamically old and spatially mixed
clusters, however, differences between the local 1G and 2G MFs can reveal
differences between the 1G and 2G global MFs. In general, for clusters with any
dynamical age, large differences between the local 1G and 2G MFs are more
likely to be associated with differences in the global MF. Our study also
reveals a dependence of the spatial mixing rate on the stellar mass, another
dynamical consequence of the multiscale nature of multiple-population clusters.
| astro-ph.GA | we present the results of a survey of nbody simulations aimed at studying the effects of the longterm dynamical evolution on the stellar mass function mf of multiple stellar populations in globular clusters our simulations show that if first1g and secondgeneration 2g stars have the same initial mf imf the global mfs of the two populations are affected similarly by dynamical evolution and no significant differences between the 1g and the 2g mfs arise during the clusters evolution if the two populations have different imfs dynamical effects do not completely erase memory of the initial differences should observations find differences between the global 1g and 2g mf these would reveal the fingerprints of differences in their imfs irrespective of whether the 1g and 2g populations have the same global imf or not dynamical effects can produce differences between the local measured at various distances from the cluster centre 1g and 2g mfs these differences are a manifestation of the process of mass segregation in populations with different initial structural properties in dynamically old and spatially mixed clusters however differences between the local 1g and 2g mfs can reveal differences between the 1g and 2g global mfs in general for clusters with any dynamical age large differences between the local 1g and 2g mfs are more likely to be associated with differences in the global mf our study also reveals a dependence of the spatial mixing rate on the stellar mass another dynamical consequence of the multiscale nature of multiplepopulation clusters | [['we', 'present', 'the', 'results', 'of', 'a', 'survey', 'of', 'nbody', 'simulations', 'aimed', 'at', 'studying', 'the', 'effects', 'of', 'the', 'longterm', 'dynamical', 'evolution', 'on', 'the', 'stellar', 'mass', 'function', 'mf', 'of', 'multiple', 'stellar', 'populations', 'in', 'globular', 'clusters', 'our', 'simulations', 'show', 'that', 'if', 'first1g', 'and', 'secondgeneration', '2g', 'stars', 'have', 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1,803.02382 | Quantum oscillations and criticality in a fermionic and bosonic dimer
model for the cuprates | We study quantum oscillations for a system of fermionic and bosonic dimers
and compare the results to those experimentally observed in the cuprate
superconductors in their underdoped regime. Based on gauge invariance, we argue
that the charge carriers obey the Onsager quantization condition and quantum
oscillations take on a Lifshitz-Kosevich form. We obtain the effective mass and
find good qualitative agreement with experiments if we tune the model to the
point where the observed mass divergence at optimum doping is associated to a
van Hove singularity at which four free-dimer Fermi pockets touch pairwise in
the interior of the Brillouin zone. The same van Hove singularity leads to a
maximum in the d-wave superconducting pairing amplitude when anti-ferromagnetic
interactions are included. Our combined results therefore suggest that a
quantum critical point separating the underdoped and overdoped regimes is
marked by the location of the van Hove saddle point in the fermionic dimer
dispersion.
| cond-mat.str-el | we study quantum oscillations for a system of fermionic and bosonic dimers and compare the results to those experimentally observed in the cuprate superconductors in their underdoped regime based on gauge invariance we argue that the charge carriers obey the onsager quantization condition and quantum oscillations take on a lifshitzkosevich form we obtain the effective mass and find good qualitative agreement with experiments if we tune the model to the point where the observed mass divergence at optimum doping is associated to a van hove singularity at which four freedimer fermi pockets touch pairwise in the interior of the brillouin zone the same van hove singularity leads to a maximum in the dwave superconducting pairing amplitude when antiferromagnetic interactions are included our combined results therefore suggest that a quantum critical point separating the underdoped and overdoped regimes is marked by the location of the van hove saddle point in the fermionic dimer dispersion | [['we', 'study', 'quantum', 'oscillations', 'for', 'a', 'system', 'of', 'fermionic', 'and', 'bosonic', 'dimers', 'and', 'compare', 'the', 'results', 'to', 'those', 'experimentally', 'observed', 'in', 'the', 'cuprate', 'superconductors', 'in', 'their', 'underdoped', 'regime', 'based', 'on', 'gauge', 'invariance', 'we', 'argue', 'that', 'the', 'charge', 'carriers', 'obey', 'the', 'onsager', 'quantization', 'condition', 'and', 'quantum', 'oscillations', 'take', 'on', 'a', 'lifshitzkosevich', 'form', 'we', 'obtain', 'the', 'effective', 'mass', 'and', 'find', 'good', 'qualitative', 'agreement', 'with', 'experiments', 'if', 'we', 'tune', 'the', 'model', 'to', 'the', 'point', 'where', 'the', 'observed', 'mass', 'divergence', 'at', 'optimum', 'doping', 'is', 'associated', 'to', 'a', 'van', 'hove', 'singularity', 'at', 'which', 'four', 'freedimer', 'fermi', 'pockets', 'touch', 'pairwise', 'in', 'the', 'interior', 'of', 'the', 'brillouin', 'zone', 'the', 'same', 'van', 'hove', 'singularity', 'leads', 'to', 'a', 'maximum', 'in', 'the', 'dwave', 'superconducting', 'pairing', 'amplitude', 'when', 'antiferromagnetic', 'interactions', 'are', 'included', 'our', 'combined', 'results', 'therefore', 'suggest', 'that', 'a', 'quantum', 'critical', 'point', 'separating', 'the', 'underdoped', 'and', 'overdoped', 'regimes', 'is', 'marked', 'by', 'the', 'location', 'of', 'the', 'van', 'hove', 'saddle', 'point', 'in', 'the', 'fermionic', 'dimer', 'dispersion']] | [-0.1870627474104128, 0.16935951710605113, -0.09592504967440618, 0.09844047444609091, -0.036639948672688515, -0.19305003160843626, 0.1312629012015685, 0.30278274952434003, -0.2085560290510521, -0.21820935839787126, -0.0440042579070187, -0.39323234868597384, -0.15606064845709816, 0.16665404656822302, 0.014540659747772702, 0.03739671387685169, -0.001753909726271798, -0.0002147146074812075, -0.14439828264049107, -0.24172489895289273, 0.3618985477185465, 0.026394659268063198, 0.32384251047685547, 0.1023684311504966, 0.0371573910601192, 0.019667621314415316, 0.12501520404322564, 0.008511668631782461, -0.19536756323625587, 0.021217624993847783, 0.3090279111025953, -0.11853289723053183, 0.19937268271123207, -0.40947357327432227, -0.20034605920878484, 0.014143885079599721, 0.161519869995812, 0.15382779352550738, -0.03189343595295213, -0.28826054683151214, 0.02861170743792747, -0.1259407472343331, -0.1547661319564213, -0.08424935226426705, -0.053759084708106364, -0.01690273578309356, -0.21528820591476305, 0.13237841783139678, 0.05422555478473537, 0.05900552055467606, -0.0740283861615401, -0.08718077159076194, -0.06198119607564111, 0.0364822007366839, 0.03955614417224608, 0.047485944890037275, 0.1510027703610065, -0.1328491000397327, -0.07441275922648952, 0.34616865904229743, -0.026910970595628515, -0.09463242278740693, 0.15442827511057994, -0.19800150615322454, -0.08801215222276944, 0.13021447272867112, 0.06638644131721537, 0.01368650624614307, -0.1047990488208789, 0.1102027172191332, -0.03589226660551503, 0.13410930580893796, 0.093797220937344, 0.05885040715881922, 0.2868136763672259, 0.1243462347881991, 0.055424100040813516, 0.10106030600084188, -0.14955093316453522, -0.1268711301596149, -0.3018034506148021, -0.12975396127531943, -0.22454580921054768, 0.0262423461183636, -0.08564232914709703, -0.20327423834915911, 0.38013319179529054, 0.16537518282175848, 0.2600568504881506, -0.02892776379150363, 0.20364543628468373, 0.13259879382416043, 0.06715997676196582, 0.06697145540659365, 0.2797590039354921, 0.10251332197405741, 0.07633715870753421, -0.33850476309644845, -0.00012809849086854803, 0.0768967366403606] |
1,803.02383 | Constraining Density Fluctuations with Big Bang Nucleosynthesis in the
Era of Precision Cosmology | We reexamine big bang nucleosynthesis with large-scale baryon density
inhomogeneities when the length scale of the density fluctuations exceeds the
neutron diffusion length ($\sim 10^7-10^8$ cm at BBN), and the amplitude of the
fluctuations is sufficiently small to prevent gravitational collapse. In this
limit, the final light element abundances can be determined by simply mixing
the abundances from regions with different baryon/photon ratios without
interactions. We examine gaussian, lognormal, and gamma distributions for the
baryon/photon ratio, $\eta $. We find that the deuterium and lithium-7
abundances increase with the RMS fluctuation in $\eta $, while the effect on
helium-4 is much smaller. We show that these increases in the deuterium and
lithium-7 abundances are a consequence of Jensen's inequality, and we derive
analytic approximations for these abundances in the limit of small RMS
fluctuations. Observational upper limits on the primordial deuterium abundance
constrain the RMS fluctuation in $\eta $ to be less than $17\%$ of the mean
value of $\eta $. This provides us with a new limit on the graininess of the
early universe.
| astro-ph.CO gr-qc hep-ph | we reexamine big bang nucleosynthesis with largescale baryon density inhomogeneities when the length scale of the density fluctuations exceeds the neutron diffusion length sim 107108 cm at bbn and the amplitude of the fluctuations is sufficiently small to prevent gravitational collapse in this limit the final light element abundances can be determined by simply mixing the abundances from regions with different baryonphoton ratios without interactions we examine gaussian lognormal and gamma distributions for the baryonphoton ratio eta we find that the deuterium and lithium7 abundances increase with the rms fluctuation in eta while the effect on helium4 is much smaller we show that these increases in the deuterium and lithium7 abundances are a consequence of jensens inequality and we derive analytic approximations for these abundances in the limit of small rms fluctuations observational upper limits on the primordial deuterium abundance constrain the rms fluctuation in eta to be less than 17 of the mean value of eta this provides us with a new limit on the graininess of the early universe | [['we', 'reexamine', 'big', 'bang', 'nucleosynthesis', 'with', 'largescale', 'baryon', 'density', 'inhomogeneities', 'when', 'the', 'length', 'scale', 'of', 'the', 'density', 'fluctuations', 'exceeds', 'the', 'neutron', 'diffusion', 'length', 'sim', '107108', 'cm', 'at', 'bbn', 'and', 'the', 'amplitude', 'of', 'the', 'fluctuations', 'is', 'sufficiently', 'small', 'to', 'prevent', 'gravitational', 'collapse', 'in', 'this', 'limit', 'the', 'final', 'light', 'element', 'abundances', 'can', 'be', 'determined', 'by', 'simply', 'mixing', 'the', 'abundances', 'from', 'regions', 'with', 'different', 'baryonphoton', 'ratios', 'without', 'interactions', 'we', 'examine', 'gaussian', 'lognormal', 'and', 'gamma', 'distributions', 'for', 'the', 'baryonphoton', 'ratio', 'eta', 'we', 'find', 'that', 'the', 'deuterium', 'and', 'lithium7', 'abundances', 'increase', 'with', 'the', 'rms', 'fluctuation', 'in', 'eta', 'while', 'the', 'effect', 'on', 'helium4', 'is', 'much', 'smaller', 'we', 'show', 'that', 'these', 'increases', 'in', 'the', 'deuterium', 'and', 'lithium7', 'abundances', 'are', 'a', 'consequence', 'of', 'jensens', 'inequality', 'and', 'we', 'derive', 'analytic', 'approximations', 'for', 'these', 'abundances', 'in', 'the', 'limit', 'of', 'small', 'rms', 'fluctuations', 'observational', 'upper', 'limits', 'on', 'the', 'primordial', 'deuterium', 'abundance', 'constrain', 'the', 'rms', 'fluctuation', 'in', 'eta', 'to', 'be', 'less', 'than', '17', 'of', 'the', 'mean', 'value', 'of', 'eta', 'this', 'provides', 'us', 'with', 'a', 'new', 'limit', 'on', 'the', 'graininess', 'of', 'the', 'early', 'universe']] | [-0.07667661700343266, 0.24467273112059684, -0.07883280261480304, 0.11571350420160731, 0.01573076496807564, -0.03286117099753815, 0.05346180779086045, 0.28083721070403334, -0.21625361847418922, -0.33368649626183405, 0.02679964878980332, -0.31723256373869213, 0.009855841584667041, 0.17158936794264493, -0.007112132269638585, 0.013717840305170077, 0.045118249273363345, 0.00852152567128079, -0.06949038686004756, -0.20856088995919916, 0.305194411285178, 0.10316980954216064, 0.2258184226042569, 0.053035857626345904, -0.001201461741907729, -0.10548015724464554, -0.04069006500754788, 0.005860589853112112, -0.2131588426695174, 0.06462207023729706, 0.1745221229673129, 0.11234981146210815, 0.16487684850009127, -0.4116189663478157, -0.22383703532075913, 0.15082458956255604, 0.16883267946977015, 0.11732760864059436, -0.025900097220743958, -0.2538973916572524, 0.07751229892220016, -0.15460442965754922, -0.15445515951032787, -0.004910884645620459, 0.06431598525646834, 0.027818035350347277, -0.2726011298629537, 0.16436288786414815, -0.0252425626937398, 0.030619008571273042, -0.05842304830738937, -0.18177947932745367, 0.0027392467276917565, 0.05029234245820488, 0.07180551650024385, 0.012285356191994503, 0.1811214719888106, -0.12833127170278316, 0.04660829579000149, 0.37541822102247624, -0.16980183040302815, -0.1198160799187186, 0.11109206676265301, -0.23665687761797805, -0.16189121527475447, 0.1424718268027758, 0.14558156439830272, 0.07200346395035671, -0.08308221025255234, 0.08336364729867769, 0.028057618299499154, 0.23620512420910666, 0.12454552266321946, 0.03655943875636753, 0.23861191140716537, 0.15632093229810354, 0.0472694818449223, 0.04114354430147779, -0.17111859246353178, -0.06819724817133961, -0.29853643994092155, -0.12357006512843725, -0.1167272214297129, 0.1252882267016242, -0.1982796005709798, -0.1328721913775941, 0.2803546983792245, 0.14748531016139912, 0.2484507177852922, 0.0592596721794587, 0.30227611694561196, 0.14146840227672514, 0.03841125470591567, 0.0806178330697054, 0.309354136319428, 0.2195804619001584, 0.0895827347521632, -0.275082594512183, 0.1132709864412614, 0.019571712981277738] |
1,803.02384 | Fractional uncertainty | We use techniques of dyadic analysis in order to prove that, for every
$0<s<\tfrac{1}{2}$, there exists a positive constant $\gamma(s)$ such that the
inequality $$\left(\iint_{\mathbb{R}^2}|x-y|^{2s-1}|\varphi(x)||\varphi(y)|dx
dy\right)\left(\iint_{\mathbb{R}^2}|x-y|^{-2s-1}|\varphi(x)-\varphi(y)|^2 dx
dy\right)\geq \gamma(s)$$ holds for every $\varphi$ with
$||\varphi||_{L^2(\mathbb{R})}=1$. The second integral on the left hand side is
the energy quadratic form of order $s$, which for the limit case $s=1$ gives
the local form $Var|\hat{\varphi}|^2$ or $\int|\nabla\varphi|^2$. The first is
a natural substitution of the position form, which on the Haar system shows the
same behavior of the classical $Var|\varphi|^2$.
| math.FA | we use techniques of dyadic analysis in order to prove that for every 0stfrac12 there exists a positive constant gammas such that the inequality leftiint_mathbbr2xy2s1varphixvarphiydx dyrightleftiint_mathbbr2xy2s1varphixvarphiy2 dx dyrightgeq gammas holds for every varphi with varphi_l2mathbbr1 the second integral on the left hand side is the energy quadratic form of order s which for the limit case s1 gives the local form varhatvarphi2 or intnablavarphi2 the first is a natural substitution of the position form which on the haar system shows the same behavior of the classical varvarphi2 | [['we', 'use', 'techniques', 'of', 'dyadic', 'analysis', 'in', 'order', 'to', 'prove', 'that', 'for', 'every', '0stfrac12', 'there', 'exists', 'a', 'positive', 'constant', 'gammas', 'such', 'that', 'the', 'inequality', 'leftiint_mathbbr2xy2s1varphixvarphiydx', 'dyrightleftiint_mathbbr2xy2s1varphixvarphiy2', 'dx', 'dyrightgeq', 'gammas', 'holds', 'for', 'every', 'varphi', 'with', 'varphi_l2mathbbr1', 'the', 'second', 'integral', 'on', 'the', 'left', 'hand', 'side', 'is', 'the', 'energy', 'quadratic', 'form', 'of', 'order', 's', 'which', 'for', 'the', 'limit', 'case', 's1', 'gives', 'the', 'local', 'form', 'varhatvarphi2', 'or', 'intnablavarphi2', 'the', 'first', 'is', 'a', 'natural', 'substitution', 'of', 'the', 'position', 'form', 'which', 'on', 'the', 'haar', 'system', 'shows', 'the', 'same', 'behavior', 'of', 'the', 'classical', 'varvarphi2']] | [-0.16044613395970833, 0.07441574651040608, -0.08185315558309608, 0.04776877345505489, -0.042438325755109516, -0.11983633379723076, 0.016315439692403698, 0.3048696337220601, -0.2894882070890899, -0.1906146717646831, 0.09138049526564494, -0.33886550116953973, -0.10978723422600593, 0.2191287616674517, -0.010937238695642238, -0.010561316179795355, 0.030388690221795363, 0.17619324225307548, -0.08712142305389707, -0.2229337571896141, 0.3421667689764047, -0.04635949977496757, 0.22237605227841228, 0.06755839904204389, 0.14067844293209947, 0.043215614095141616, 0.05661595464813747, -0.004822976144525824, -0.1463695228480383, 0.1414121160131903, 0.1733127696427835, 0.10635667835963489, 0.28767952530444424, -0.368561421847413, -0.1538359111858697, 0.18665250369548042, 0.07709888810928486, 0.01819725484068541, -0.034169284228966396, -0.2341756242286131, 0.10658397519212405, -0.10421619061498513, -0.14206503733073042, -0.03008846864340049, 0.04814132842930812, 0.030155686729387204, -0.3197366274138795, 0.079255163469175, 0.14636438123033016, 0.018169908300985263, -0.06175524624848526, -0.10342791462405526, -0.008339895678188982, 0.1330768275634633, 0.04873376831860293, 0.09128461076577395, 0.05841297936136539, -0.08354233895558157, -0.06856290068878215, 0.3883349324894857, -0.09977827007776197, -0.2014579108085106, 0.1263328207232341, -0.19340659479928923, -0.15520888650082523, 0.08944451358298995, 0.0658841538537718, 0.11594913425985016, -0.08440250890400214, 0.1642094467636905, -0.07872601459392264, 0.217188548626779, 0.09937805814456337, 0.02949823684330228, 0.12021560713507329, 0.09896727559404282, 0.16978768920643797, 0.13144700377707993, -0.07417852728026389, -0.036674336736573825, -0.3650458563307795, -0.21158158733167604, -0.17330153823146432, 0.110623764030376, -0.10257180898650727, -0.1870789400808796, 0.33204743120218094, 0.08957803910052922, 0.19636001038258966, 0.07453018112426411, 0.2664290735943101, 0.18565983608765882, 0.05341395459733196, 0.08145895731175624, 0.15990727000628138, 0.10103111721198016, 0.07581746720862162, -0.18364769774614362, 0.08183908663525045, 0.1270595876782944] |
1,803.02385 | Packing Plane Spanning Trees into a Point Set | Let $P$ be a set of $n$ points in the plane in general position. We show that
at least $\lfloor n/3\rfloor$ plane spanning trees can be packed into the
complete geometric graph on $P$. This improves the previous best known lower
bound $\Omega\left(\sqrt{n}\right)$. Towards our proof of this lower bound we
show that the center of a set of points, in the $d$-dimensional space in
general position, is of dimension either $0$ or $d$.
| cs.CG cs.DM | let p be a set of n points in the plane in general position we show that at least lfloor n3rfloor plane spanning trees can be packed into the complete geometric graph on p this improves the previous best known lower bound omegaleftsqrtnright towards our proof of this lower bound we show that the center of a set of points in the ddimensional space in general position is of dimension either 0 or d | [['let', 'p', 'be', 'a', 'set', 'of', 'n', 'points', 'in', 'the', 'plane', 'in', 'general', 'position', 'we', 'show', 'that', 'at', 'least', 'lfloor', 'n3rfloor', 'plane', 'spanning', 'trees', 'can', 'be', 'packed', 'into', 'the', 'complete', 'geometric', 'graph', 'on', 'p', 'this', 'improves', 'the', 'previous', 'best', 'known', 'lower', 'bound', 'omegaleftsqrtnright', 'towards', 'our', 'proof', 'of', 'this', 'lower', 'bound', 'we', 'show', 'that', 'the', 'center', 'of', 'a', 'set', 'of', 'points', 'in', 'the', 'ddimensional', 'space', 'in', 'general', 'position', 'is', 'of', 'dimension', 'either', '0', 'or', 'd']] | [-0.1694474800885336, 0.11817855278208647, -0.08386511735981712, -0.009601375810508553, -0.054297804277492305, -0.1126122993021591, 0.10336023464492738, 0.3141867782831294, -0.24663038388507008, -0.2922181567713006, 0.058274365291764885, -0.2985038348945649, -0.10797131677119903, 0.1850216561156542, -0.08274642611473136, -0.015552630180760911, 0.05368314979419316, 0.1193975552737917, -0.04222082514443422, -0.2965799603975627, 0.2924243971348217, -0.038140263357391097, 0.19882457258103237, 0.030857305455480842, 0.03709498193905982, 0.04645334469626517, 0.04901808214514223, 0.041854892298818426, -0.1779873677258689, 0.12803354837025885, 0.24078518999357745, 0.14640129182474967, 0.21710578985001944, -0.3574388077457065, -0.17492304733405784, 0.1871764646374225, 0.19458260294049978, 0.07767420731586953, 0.03535289995129896, -0.2245349691517345, 0.1497907236805313, -0.04610517169412685, -0.17996489342097957, 0.02395387862694182, 0.0804937442267084, -0.02081518428884957, -0.2650425132261972, 0.0073566764899312635, 0.13868789323796965, 0.04481301609783957, -0.02165270914412933, -0.21323655269823152, -0.05570392870369737, 0.08202887355981471, -0.09592067298785567, 0.14813892241592888, 0.03212726574187001, -0.05309529237015403, -0.12761636339893487, 0.35000237520809657, -0.05509892853665842, -0.20535537711191565, 0.1431221732333915, -0.24765148659377065, -0.15788688316737134, 0.13667953922094345, 0.20399240841323588, 0.1793416776400927, -0.05244279059594217, 0.15174651768517822, -0.13374398539021407, 0.15910809383765884, 0.12286732717072718, -0.004270537148791123, 0.16300477264831736, 0.1554857092807452, 0.1818243249140884, 0.16404459409875005, -0.027703128608377422, -0.018689120175597602, -0.3240343629293246, -0.13511842043515396, -0.23446290071556114, 0.07697102095778674, -0.1629462172085904, -0.1437522431912079, 0.32415902810426406, 0.08982992953659125, 0.27150033661866024, 0.0969618760298121, 0.2679179548987583, 0.09365903475036373, 0.002531524473316457, 0.14929056368538574, 0.17724044485757612, 0.0568899783777864, -0.04647940424691937, -0.1284652424478674, 0.03831200153975148, 0.13245598128550265] |
1,803.02386 | Study of a chemo-repulsion model with quadratic production. Part I:
Analysis of the continuous problem and time-discrete numerical schemes | We consider a chemo-repulsion model with quadratic production in a bounded
domain. Firstly, we obtain global in time weak solutions, and give a regularity
criterion (which is satisfied for $1D$ and $2D$ domains) to deduce uniqueness
and global regularity. After, we study two cell-conservative and
unconditionally energy-stable first-order time schemes: a (nonlinear and
positive) Backward Euler scheme and a linearized coupled version, proving
solvability, convergence towards weak solutions and error estimates. In
particular, the linear scheme does not preserve positivity and the uniqueness
of the nonlinear scheme is proved assuming small time step with respect to a
strong norm of the discrete solution. This hypothesis is reduced to small time
step in $nD$ domains ($n\le 2$) where global in time strong estimates are
proved. Finally, we show the behavior of the schemes through some numerical
simulations.
| math.NA cs.NA | we consider a chemorepulsion model with quadratic production in a bounded domain firstly we obtain global in time weak solutions and give a regularity criterion which is satisfied for 1d and 2d domains to deduce uniqueness and global regularity after we study two cellconservative and unconditionally energystable firstorder time schemes a nonlinear and positive backward euler scheme and a linearized coupled version proving solvability convergence towards weak solutions and error estimates in particular the linear scheme does not preserve positivity and the uniqueness of the nonlinear scheme is proved assuming small time step with respect to a strong norm of the discrete solution this hypothesis is reduced to small time step in nd domains nle 2 where global in time strong estimates are proved finally we show the behavior of the schemes through some numerical simulations | [['we', 'consider', 'a', 'chemorepulsion', 'model', 'with', 'quadratic', 'production', 'in', 'a', 'bounded', 'domain', 'firstly', 'we', 'obtain', 'global', 'in', 'time', 'weak', 'solutions', 'and', 'give', 'a', 'regularity', 'criterion', 'which', 'is', 'satisfied', 'for', '1d', 'and', '2d', 'domains', 'to', 'deduce', 'uniqueness', 'and', 'global', 'regularity', 'after', 'we', 'study', 'two', 'cellconservative', 'and', 'unconditionally', 'energystable', 'firstorder', 'time', 'schemes', 'a', 'nonlinear', 'and', 'positive', 'backward', 'euler', 'scheme', 'and', 'a', 'linearized', 'coupled', 'version', 'proving', 'solvability', 'convergence', 'towards', 'weak', 'solutions', 'and', 'error', 'estimates', 'in', 'particular', 'the', 'linear', 'scheme', 'does', 'not', 'preserve', 'positivity', 'and', 'the', 'uniqueness', 'of', 'the', 'nonlinear', 'scheme', 'is', 'proved', 'assuming', 'small', 'time', 'step', 'with', 'respect', 'to', 'a', 'strong', 'norm', 'of', 'the', 'discrete', 'solution', 'this', 'hypothesis', 'is', 'reduced', 'to', 'small', 'time', 'step', 'in', 'nd', 'domains', 'nle', '2', 'where', 'global', 'in', 'time', 'strong', 'estimates', 'are', 'proved', 'finally', 'we', 'show', 'the', 'behavior', 'of', 'the', 'schemes', 'through', 'some', 'numerical', 'simulations']] | [-0.1648418536461476, 0.012881120004587703, -0.08066677053963454, 0.08290141129486815, -0.0392544506152195, -0.17662437918975396, 0.02063848241749737, 0.34619262550302127, -0.32301506849902645, -0.21790784706266736, 0.16316711235774198, -0.2253368185608889, -0.10514339268966405, 0.17368999590096926, -0.04857282882198719, 0.11897850187012443, 0.07553751626638351, 0.005556865791893668, -0.09842203499887277, -0.2698060299149128, 0.3210463494821279, -0.024477826086459337, 0.2537415552194472, 0.07771987152389354, 0.1499787765175117, -0.03317398029483027, -0.02889625201545035, 0.025193486486872037, -0.17729129264200175, 0.05902024076527192, 0.2192215742551963, 0.06707399582697285, 0.33241356634534897, -0.43809849311494165, -0.18356832123396022, 0.14252001872907083, 0.1308130230996068, 0.14514042106198355, -0.07106674282695166, -0.2755954743673404, 0.17784610059439998, -0.08156062388033779, -0.18357818769635978, -0.10491207467254113, -0.017875591727594533, 0.06939184101669256, -0.34926355409142734, 0.11603528569555945, 0.11905170326569565, 0.046324637492566746, -0.12643520619754714, -0.021525093331864035, -0.00450756600195611, 0.05730624912323913, 0.0602601230127254, 0.003044929225170226, -0.005756088573899534, -0.09485213939893852, -0.08703786299253503, 0.3465588843105016, -0.10816612621959022, -0.2658682972606685, 0.17525763679640713, -0.14176710167968715, -0.1264469797498788, 0.10663572295646494, 0.16011538647667126, 0.1799702253503104, -0.09658045002293808, 0.12363866710586956, -0.062469062528840304, 0.19333558214345464, 0.06476010003782533, 0.03986651680466753, 0.04109822221928173, 0.12818405329318786, 0.18514388667557527, 0.11600325706897786, -0.023771155858843554, -0.1262944024797805, -0.35254481839085067, -0.17654007022200083, -0.1284655512948693, 0.052536782706091696, -0.1035469643038663, -0.14583164305874594, 0.358707079208802, 0.10595075537071184, 0.15665460584892166, 0.14197271555506935, 0.25977872309309463, 0.19066192378048544, -0.024844917539438165, 0.10202198162916358, 0.209162180154386, 0.14426789307035506, 0.12844646704486676, -0.20399453451305075, 0.05104681142709321, 0.19086657517311525] |
1,803.02387 | Lower bounds for Waldschmidt constants of generic lines in
$\mathbb{P}^3$ and a Chudnovsky-type theorem | The Waldschmidt constant $\alphahat(I)$ of a radical ideal $I$ in the
coordinate ring of $\PP^N$ measures (asymptotically) the degree of a
hypersurface passing through the set defined by $I$ in $\PP^N$. Nagata's
approach to the 14th Hilbert Problem was based on computing such constant for
the set of points in $\PP^2$. Since then, these constants drew much attention,
but still there are no methods to compute them (except for trivial cases).
Therefore the research focuses on looking for accurate bounds for
$\alphahat(I)$.
In the paper we deal with $\alphahat(s)$, the Waldschmidt constant for $s$
very general lines in $\PP^3$. We prove that $\alphahat(s) \geq
\lfloor\sqrt{2s-1}\rfloor$ holds for all $s$, whereas the much stronger bound
$\alphahat(s) \geq \lfloor\sqrt{2.5 s}\rfloor$ holds for all $s$ but $s=4$, $7$
and $10$. We also provide an algorithm which gives even better bounds for
$\alphahat(s)$, very close to the known upper bounds, which are conjecturally
equal to $\alphahat(s)$ for $s$ large enough.
| math.AG math.AC | the waldschmidt constant alphahati of a radical ideal i in the coordinate ring of ppn measures asymptotically the degree of a hypersurface passing through the set defined by i in ppn nagatas approach to the 14th hilbert problem was based on computing such constant for the set of points in pp2 since then these constants drew much attention but still there are no methods to compute them except for trivial cases therefore the research focuses on looking for accurate bounds for alphahati in the paper we deal with alphahats the waldschmidt constant for s very general lines in pp3 we prove that alphahats geq lfloorsqrt2s1rfloor holds for all s whereas the much stronger bound alphahats geq lfloorsqrt25 srfloor holds for all s but s4 7 and 10 we also provide an algorithm which gives even better bounds for alphahats very close to the known upper bounds which are conjecturally equal to alphahats for s large enough | [['the', 'waldschmidt', 'constant', 'alphahati', 'of', 'a', 'radical', 'ideal', 'i', 'in', 'the', 'coordinate', 'ring', 'of', 'ppn', 'measures', 'asymptotically', 'the', 'degree', 'of', 'a', 'hypersurface', 'passing', 'through', 'the', 'set', 'defined', 'by', 'i', 'in', 'ppn', 'nagatas', 'approach', 'to', 'the', '14th', 'hilbert', 'problem', 'was', 'based', 'on', 'computing', 'such', 'constant', 'for', 'the', 'set', 'of', 'points', 'in', 'pp2', 'since', 'then', 'these', 'constants', 'drew', 'much', 'attention', 'but', 'still', 'there', 'are', 'no', 'methods', 'to', 'compute', 'them', 'except', 'for', 'trivial', 'cases', 'therefore', 'the', 'research', 'focuses', 'on', 'looking', 'for', 'accurate', 'bounds', 'for', 'alphahati', 'in', 'the', 'paper', 'we', 'deal', 'with', 'alphahats', 'the', 'waldschmidt', 'constant', 'for', 's', 'very', 'general', 'lines', 'in', 'pp3', 'we', 'prove', 'that', 'alphahats', 'geq', 'lfloorsqrt2s1rfloor', 'holds', 'for', 'all', 's', 'whereas', 'the', 'much', 'stronger', 'bound', 'alphahats', 'geq', 'lfloorsqrt25', 'srfloor', 'holds', 'for', 'all', 's', 'but', 's4', '7', 'and', '10', 'we', 'also', 'provide', 'an', 'algorithm', 'which', 'gives', 'even', 'better', 'bounds', 'for', 'alphahats', 'very', 'close', 'to', 'the', 'known', 'upper', 'bounds', 'which', 'are', 'conjecturally', 'equal', 'to', 'alphahats', 'for', 's', 'large', 'enough']] | [-0.14790608590517781, 0.08054453870183927, -0.028150780956677505, 0.08057017883249118, -0.05411174676479086, -0.21878466649152534, 0.04582818205495929, 0.3303942549973726, -0.2069409047406608, -0.2647737407395126, 0.10624251741912878, -0.2609081086304382, -0.10029906380958364, 0.251704984994017, -0.06327948477548107, -0.00143096978028648, 0.025756897230166942, 0.09471943458150858, -0.05895611639808569, -0.3009951510527906, 0.303311949763539, 0.023519479616018208, 0.19787957526626232, 0.08640611011804522, 0.07487009659005132, -0.011160222255918933, -0.004633811860051202, 0.015007112058128769, -0.21125342492895902, 0.1433456213398083, 0.26393446276932464, 0.14217942934575198, 0.2098797749709583, -0.3834847631178012, -0.12931868841099603, 0.18004775323712047, 0.14244918382610194, 0.07891755532258876, -0.0031832021593704426, -0.2045603267079538, 0.13003794446443576, -0.11926942767116232, -0.15337247394506304, -0.05334129430182082, 0.12884028528596422, -0.016942384140412815, -0.2846069720046791, 0.009161891306767325, 0.11016462058882769, 0.0752747933804226, -0.030919219526511273, -0.1728155722000673, 0.014625299775568572, 0.08133072585884579, 0.027696023734997174, 0.06436922404406543, 0.019084332048231244, -0.11151601422247231, -0.056498358118053725, 0.3841004220058063, -0.0784473240932321, -0.18812008163475089, 0.14309649145089728, -0.17800462265854308, -0.18132505275762492, 0.13140612512851427, 0.10823802188602522, 0.1766319416561409, -0.0699361470408468, 0.1543138814093637, -0.07080241906805895, 0.11193837993625111, 0.11157325730585542, 0.02837210548942063, 0.1212828825243234, 0.06449143812489255, 0.13150413600076144, 0.08681176984138897, -0.042260437470280236, -0.0552564186772016, -0.3138734632183945, -0.16683540694477988, -0.16123807730343143, 0.0879104903739828, -0.11097776491988043, -0.1467679345307835, 0.32910932509204077, 0.11399994072148968, 0.21349028051094807, 0.10691578855499086, 0.23094350865453875, 0.07379128620059898, 0.03202414794520193, 0.156061768415384, 0.24347991297585586, 0.1056875278376729, 0.019229646292698913, -0.10440046204205014, 0.07371311254284688, 0.11384560086911447] |
1,803.02388 | Learning SMaLL Predictors | We present a new machine learning technique for training small
resource-constrained predictors. Our algorithm, the Sparse Multiprototype
Linear Learner (SMaLL), is inspired by the classic machine learning problem of
learning $k$-DNF Boolean formulae. We present a formal derivation of our
algorithm and demonstrate the benefits of our approach with a detailed
empirical study.
| cs.LG | we present a new machine learning technique for training small resourceconstrained predictors our algorithm the sparse multiprototype linear learner small is inspired by the classic machine learning problem of learning kdnf boolean formulae we present a formal derivation of our algorithm and demonstrate the benefits of our approach with a detailed empirical study | [['we', 'present', 'a', 'new', 'machine', 'learning', 'technique', 'for', 'training', 'small', 'resourceconstrained', 'predictors', 'our', 'algorithm', 'the', 'sparse', 'multiprototype', 'linear', 'learner', 'small', 'is', 'inspired', 'by', 'the', 'classic', 'machine', 'learning', 'problem', 'of', 'learning', 'kdnf', 'boolean', 'formulae', 'we', 'present', 'a', 'formal', 'derivation', 'of', 'our', 'algorithm', 'and', 'demonstrate', 'the', 'benefits', 'of', 'our', 'approach', 'with', 'a', 'detailed', 'empirical', 'study']] | [-0.027042657883732387, -0.04436050776877102, -0.09472958234859244, 0.05826996640469176, -0.17053359540460525, -0.19073966492564892, 0.10332496922665257, 0.3811132187058903, -0.2906405943322857, -0.30905355850480637, 0.03866176312473023, -0.19599991390165292, -0.27526587764468957, 0.22508444426194676, -0.14196801468519107, 0.14096717938851072, 0.14043619272843846, 0.0112772418959242, -0.045107100361009254, -0.30402522535889215, 0.3096435542376536, 0.02320613223567324, 0.2856415484522311, -0.012468268163502216, 0.15985534620418582, 0.02913243686428891, -0.05426891952893644, 0.00637794943210089, -0.0930381493888936, 0.23468747863080353, 0.33030370310089496, 0.2899533795930867, 0.44223916797705415, -0.3628501327321777, -0.1857554698011504, 0.08891305128850464, 0.10297747009943398, 0.15319325368992, -0.09569707338891502, -0.3063364214492294, 0.09349275370708333, -0.19274843350615142, -0.02119105983138928, -0.1925821172003195, -0.04629175505548153, 0.009804861246660914, -0.3396226647749262, -0.0024247607128378354, 0.13269978308312172, 0.11847925263474572, -0.041021290033141956, -0.1427081321752718, 0.1535121980145187, 0.06749666351297835, 0.02640969627361112, 0.03291770693283739, 0.1250330786712749, -0.11142348016629804, -0.1733686300873194, 0.3120097744823346, -0.042293375287697, -0.1634462527965881, 0.1472632387336695, 0.009782194783735388, -0.2002274280124045, 0.06385536042024505, 0.2611276123250993, 0.17052421145984586, -0.13418821408852655, 0.10119649644760978, -0.10416428778179974, 0.1602837737333381, -0.05222460428990845, -0.06290212046478014, 0.0965268930490568, 0.31485392170835214, 0.02155824590755521, 0.1884288047001047, -0.06482722822418611, -0.07254805268262918, -0.2688141773753571, -0.11018138898114832, -0.22584035370569183, -0.016361184101903212, -0.17454499123977138, -0.19296222271503144, 0.358034259165233, 0.18410370394341508, 0.19006583825597223, 0.23533675802063267, 0.39363141240165483, 0.08022791465946455, 0.05219633427430999, 0.14302738133009593, 0.18189006101972652, 0.07390148261614707, 0.12473941931170456, -0.22114687287336532, 0.05870735516139078, 0.08043250769271322] |
1,803.02389 | Unconventional multi-band superconductivity in bulk SrTiO$_{3}$ and
LaAlO$_{3}$/SrTiO$_{3}$ interfaces | Although discovered many decades ago, superconductivity in doped SrTiO$_{3}$
remains a topic of intense research. Recent experiments revealed that, upon
increasing the carrier concentration, multiple bands cross the Fermi level,
signaling the onset of Lifshitz transitions. Interestingly, $T_{c}$ was
observed to be suppressed across the Lifshitz transition of oxygen-deficient
SrTiO$_{3}$; a similar behavior was also observed in gated
LaAlO$_{3}$/SrTiO$_{3}$ interfaces. Such a behavior is difficult to explain in
the clean theory of two-band superconductivity, as the additional electronic
states provided by the second band should enhance $T_{c}$. Here, we show that
this unexpected behavior can be explained by the strong pair-breaking effect
promoted by disorder, which takes place if the inter-band pairing interaction
is subleading and repulsive. A consequence of this scenario is that, upon
moving away from the Lifshitz transition, the two-band superconducting state
changes from opposite-sign gaps to same-sign gaps.
| cond-mat.supr-con | although discovered many decades ago superconductivity in doped srtio_3 remains a topic of intense research recent experiments revealed that upon increasing the carrier concentration multiple bands cross the fermi level signaling the onset of lifshitz transitions interestingly t_c was observed to be suppressed across the lifshitz transition of oxygendeficient srtio_3 a similar behavior was also observed in gated laalo_3srtio_3 interfaces such a behavior is difficult to explain in the clean theory of twoband superconductivity as the additional electronic states provided by the second band should enhance t_c here we show that this unexpected behavior can be explained by the strong pairbreaking effect promoted by disorder which takes place if the interband pairing interaction is subleading and repulsive a consequence of this scenario is that upon moving away from the lifshitz transition the twoband superconducting state changes from oppositesign gaps to samesign gaps | [['although', 'discovered', 'many', 'decades', 'ago', 'superconductivity', 'in', 'doped', 'srtio_3', 'remains', 'a', 'topic', 'of', 'intense', 'research', 'recent', 'experiments', 'revealed', 'that', 'upon', 'increasing', 'the', 'carrier', 'concentration', 'multiple', 'bands', 'cross', 'the', 'fermi', 'level', 'signaling', 'the', 'onset', 'of', 'lifshitz', 'transitions', 'interestingly', 't_c', 'was', 'observed', 'to', 'be', 'suppressed', 'across', 'the', 'lifshitz', 'transition', 'of', 'oxygendeficient', 'srtio_3', 'a', 'similar', 'behavior', 'was', 'also', 'observed', 'in', 'gated', 'laalo_3srtio_3', 'interfaces', 'such', 'a', 'behavior', 'is', 'difficult', 'to', 'explain', 'in', 'the', 'clean', 'theory', 'of', 'twoband', 'superconductivity', 'as', 'the', 'additional', 'electronic', 'states', 'provided', 'by', 'the', 'second', 'band', 'should', 'enhance', 't_c', 'here', 'we', 'show', 'that', 'this', 'unexpected', 'behavior', 'can', 'be', 'explained', 'by', 'the', 'strong', 'pairbreaking', 'effect', 'promoted', 'by', 'disorder', 'which', 'takes', 'place', 'if', 'the', 'interband', 'pairing', 'interaction', 'is', 'subleading', 'and', 'repulsive', 'a', 'consequence', 'of', 'this', 'scenario', 'is', 'that', 'upon', 'moving', 'away', 'from', 'the', 'lifshitz', 'transition', 'the', 'twoband', 'superconducting', 'state', 'changes', 'from', 'oppositesign', 'gaps', 'to', 'samesign', 'gaps']] | [-0.17490713978776526, 0.24515881882341, -0.061010962335760116, 0.09436172483124915, -0.05161452906626001, -0.19549768361669612, 0.1330810884178967, 0.3757138686372676, -0.24965646502260172, -0.2760637661599567, -0.04282059258630525, -0.36372312314441085, -0.17012880208679068, 0.1311901368817288, 0.012114502063257173, -0.0006821190243140912, -0.05399654928798144, -0.055072726380132456, -0.1145318307615423, -0.2387216779613264, 0.30399418754739244, 0.0433435101229304, 0.3393504800648809, 0.14397543934042709, -0.03966085885120162, -0.014369292837292167, 0.13185502021900594, 0.02436529521659856, -0.12020184437683447, -0.007729551412973104, 0.3266907253136209, -0.10830369707144483, 0.2202043170224167, -0.42889238196149676, -0.2761779208126491, -0.0003477606535430106, 0.16721684881813928, 0.13117669118833925, -0.08989880875209641, -0.3280659044935355, 0.03316044817927857, -0.16302598971204543, -0.1084606448929547, -0.051553412485690654, 0.005541081427150524, -0.08145097297006353, -0.2213712908117704, 0.12854358103617364, 0.07727257177909233, 0.07478108227541538, -0.08710415492450792, -0.08717855734793259, -0.07738671778425785, 0.05398517867228882, 0.13441263412250024, 0.07012412289028797, 0.16363568703027467, -0.11249379239136904, -0.11537221780466572, 0.3166190177779382, -0.05329191716647445, -0.003919557468231086, 0.1932878305768253, -0.18526698480701256, -0.09276599539476643, 0.19471528873660823, 0.10359111717495491, 0.04790985601147453, -0.13743624938520746, 0.09247674581448836, -0.023945588165972854, 0.1918446067228756, 0.04813451678852852, 0.07311927650327152, 0.26484888174872795, 0.21660960017880557, 0.003949284185835776, 0.12488177054050104, -0.10029541660087105, -0.04072448159371254, -0.23673310388301, -0.13290234805333992, -0.22772391871745948, 0.062724163314708, -0.011229844573572848, -0.1561767783171836, 0.3834559002474711, 0.15305647847380385, 0.22966698675193417, -0.0898078188874421, 0.19792845987872235, 0.12468943913536094, 0.09709789657114323, 0.03392893518321216, 0.2983186532903961, 0.08916539919372438, 0.12759347120299935, -0.2750818971103848, 0.12433159863330345, 0.007439226872110608] |
1,803.0239 | Lecture Notes on Noncommutative Lp-Spaces | These lecture notes were written during a mini-course on noncommutative
Lp-spaces at the Basque Center of Applied Mathematics. It starts presenting the
theory of weights and traces in von Neumann algebra, followed by the theory of
noncommutative measure. After that, it presents a construction of these spaces
in all detail and give some important results e.g. the noncommutative
Radon-Nikodym theorem.
| math.OA math.FA | these lecture notes were written during a minicourse on noncommutative lpspaces at the basque center of applied mathematics it starts presenting the theory of weights and traces in von neumann algebra followed by the theory of noncommutative measure after that it presents a construction of these spaces in all detail and give some important results eg the noncommutative radonnikodym theorem | [['these', 'lecture', 'notes', 'were', 'written', 'during', 'a', 'minicourse', 'on', 'noncommutative', 'lpspaces', 'at', 'the', 'basque', 'center', 'of', 'applied', 'mathematics', 'it', 'starts', 'presenting', 'the', 'theory', 'of', 'weights', 'and', 'traces', 'in', 'von', 'neumann', 'algebra', 'followed', 'by', 'the', 'theory', 'of', 'noncommutative', 'measure', 'after', 'that', 'it', 'presents', 'a', 'construction', 'of', 'these', 'spaces', 'in', 'all', 'detail', 'and', 'give', 'some', 'important', 'results', 'eg', 'the', 'noncommutative', 'radonnikodym', 'theorem']] | [-0.05490117499915262, 0.12300552108790726, -0.13585304516212393, 0.08922660280950367, -0.04305282908026129, -0.1301574818363103, -0.03204907134252911, 0.3200353466866848, -0.27592672038202487, -0.23817678003882367, 0.1889175320471016, -0.26726115072766937, -0.1527906091262897, 0.2132535638908545, -0.18167826163892944, -0.014246895839460195, 0.08331390810199082, 0.07630031926867863, -0.1260768991545774, -0.330197928690662, 0.38762849527411164, 0.0711631750067075, 0.23137631356560937, 0.05536321803616981, 0.12091958518091511, 0.05804171195874611, -0.1421693312159429, -0.00910237447048227, -0.1722429501403288, 0.13477743761613964, 0.33510354223350686, 0.12571109374208997, 0.3243689454315851, -0.4516124225532015, -0.09114539542885419, 0.040158842441936335, 0.028317573337456756, 0.03304586197870473, -0.03833760855292591, -0.33990422869101167, 0.027139715291559695, -0.1764896741292129, -0.11848491603353371, -0.050352705906455714, 0.04655590636345248, -0.01634884192608297, -0.14462318012374453, 0.05420928510526816, 0.1338834535330534, 0.15541762604067724, -0.09540984005046388, -0.12174588185735047, -0.010685478779487311, 0.06207125914127876, -0.021783474724118908, 0.031637991211997965, 0.1386034417587022, -0.022903388521323603, -0.15524171572178602, 0.3259146222534279, -9.636202206214269e-05, -0.14120343132526614, 0.10809394335762287, -0.18405364848828565, -0.19606694728912163, 0.0483900034489731, 0.11518197172942261, 0.10819612191601967, -0.07676563890029987, 0.15965188403109398, -0.03988075331556805, 0.05986822365084663, 0.141059337494274, 0.020243149598051482, 0.17388874126287798, 0.04882487676416834, 0.0004062181028227011, 0.15203483547472085, 0.05341399466075624, -0.1312935363763245, -0.40552714799220363, -0.16662942907278194, -0.14272917428558382, 0.10386660854176928, -0.0795631314778196, -0.1693213088408811, 0.3935597116438051, 0.12532581608587254, 0.13968287999741733, 0.02991899362144371, 0.16617866780919333, 0.11927630468271673, 0.03688806143472902, 0.02301224588494127, 0.13932509533527385, 0.2123505605927979, 0.18220145574499233, -0.051286920843025045, -0.02088373772179087, 0.23369588085139792] |
1,803.02391 | Study of a chemo-repulsion model with quadratic production. Part II:
Analysis of an unconditional energy-stable fully discrete scheme | This work is devoted to the study of a fully discrete scheme for a repulsive
chemotaxis with quadratic production model. By following the ideas presented in
[Guilen-Gonzalez et al], we introduce an auxiliary variable (the gradient of
the chemical concentration), and prove that the corresponding Finite Element
(FE) backward Euler scheme is conservative and unconditionally energy-stable.
Additionally, we also study some properties like solvability, a priori
estimates, convergence towards weak solutions and error estimates. On the other
hand, we propose two linear iterative methods to approach the nonlinear scheme:
an energy-stable Picard method and Newton's method. We prove solvability and
convergence of both methods towards the nonlinear scheme. Finally, we provide
some numerical results in agreement with our theoretical analysis with respect
to the error estimates.
| math.NA cs.NA | this work is devoted to the study of a fully discrete scheme for a repulsive chemotaxis with quadratic production model by following the ideas presented in guilengonzalez et al we introduce an auxiliary variable the gradient of the chemical concentration and prove that the corresponding finite element fe backward euler scheme is conservative and unconditionally energystable additionally we also study some properties like solvability a priori estimates convergence towards weak solutions and error estimates on the other hand we propose two linear iterative methods to approach the nonlinear scheme an energystable picard method and newtons method we prove solvability and convergence of both methods towards the nonlinear scheme finally we provide some numerical results in agreement with our theoretical analysis with respect to the error estimates | [['this', 'work', 'is', 'devoted', 'to', 'the', 'study', 'of', 'a', 'fully', 'discrete', 'scheme', 'for', 'a', 'repulsive', 'chemotaxis', 'with', 'quadratic', 'production', 'model', 'by', 'following', 'the', 'ideas', 'presented', 'in', 'guilengonzalez', 'et', 'al', 'we', 'introduce', 'an', 'auxiliary', 'variable', 'the', 'gradient', 'of', 'the', 'chemical', 'concentration', 'and', 'prove', 'that', 'the', 'corresponding', 'finite', 'element', 'fe', 'backward', 'euler', 'scheme', 'is', 'conservative', 'and', 'unconditionally', 'energystable', 'additionally', 'we', 'also', 'study', 'some', 'properties', 'like', 'solvability', 'a', 'priori', 'estimates', 'convergence', 'towards', 'weak', 'solutions', 'and', 'error', 'estimates', 'on', 'the', 'other', 'hand', 'we', 'propose', 'two', 'linear', 'iterative', 'methods', 'to', 'approach', 'the', 'nonlinear', 'scheme', 'an', 'energystable', 'picard', 'method', 'and', 'newtons', 'method', 'we', 'prove', 'solvability', 'and', 'convergence', 'of', 'both', 'methods', 'towards', 'the', 'nonlinear', 'scheme', 'finally', 'we', 'provide', 'some', 'numerical', 'results', 'in', 'agreement', 'with', 'our', 'theoretical', 'analysis', 'with', 'respect', 'to', 'the', 'error', 'estimates']] | [-0.08945039740763605, -0.013370098209707066, -0.11728400395065545, 0.05536908739525825, -0.07747601566091179, -0.16890158389136195, 0.05274143387377262, 0.38475748144090177, -0.29051127075776456, -0.24418704251060264, 0.11343683634884655, -0.26205110740475357, -0.1580943765975535, 0.22701019988767804, -0.08318514680946829, 0.10519227088615299, 0.07428241873905063, -0.017774193776538594, -0.08949735723249615, -0.28023421196825804, 0.3196627453900874, 0.022063027702271937, 0.2520799137763679, 0.043515468120574954, 0.1382347969673574, -0.043005622383207084, -0.05837206983705982, 0.011756638120859862, -0.19840562579251128, 0.1576797309704125, 0.207229602586478, 0.043937415711581704, 0.3508855884075165, -0.3889275624547154, -0.1971499185557477, 0.09727695145457983, 0.13551056157052516, 0.16718447461538016, -0.11552414722088725, -0.2715598668605089, 0.12276185491401702, -0.14248227217048406, -0.16176575306989252, -0.11421555358916521, -0.055062125768512486, 0.0913176669292152, -0.31660727138817313, 0.09471984474896453, 0.08962371373176575, 0.05310217341221869, -0.10792967479489744, -0.09846889687515795, 0.036065934101119634, 0.03317857939377427, 0.05080497136246413, -0.0033268671724945307, 0.0360647367015481, -0.05706683812849224, -0.11102781697735191, 0.33817122715711595, -0.10324315106449648, -0.27106013453006744, 0.18033182872086764, -0.07335780906304717, -0.1530794669073075, 0.10359951010718942, 0.17629446438886226, 0.1758291207049042, -0.12117348369956017, 0.07900905471062288, -0.04367613424360752, 0.17142714851535856, -0.020153294838964938, 0.01012567562930053, 0.03318866922613233, 0.14435903429239988, 0.15345098079368472, 0.09804181428300217, -0.053929400675930085, -0.11962078100303188, -0.34677701291441915, -0.17615984617825597, -0.12139466813206673, -0.0028983671963214875, -0.10535868982912507, -0.1496666686460376, 0.3595210960799595, 0.18922082011960448, 0.15555154246464373, 0.1217362357005477, 0.3236745585799217, 0.16005295760836452, -0.05496335802227258, 0.09371826124936342, 0.22935433591576293, 0.17321866180934012, 0.10188173298165203, -0.26663460686057805, 0.04769128910452127, 0.20690767334401608] |
1,803.02392 | Multimodal Emoji Prediction | Emojis are small images that are commonly included in social media text
messages. The combination of visual and textual content in the same message
builds up a modern way of communication, that automatic systems are not used to
deal with. In this paper we extend recent advances in emoji prediction by
putting forward a multimodal approach that is able to predict emojis in
Instagram posts. Instagram posts are composed of pictures together with texts
which sometimes include emojis. We show that these emojis can be predicted by
using the text, but also using the picture. Our main finding is that
incorporating the two synergistic modalities, in a combined model, improves
accuracy in an emoji prediction task. This result demonstrates that these two
modalities (text and images) encode different information on the use of emojis
and therefore can complement each other.
| cs.CL | emojis are small images that are commonly included in social media text messages the combination of visual and textual content in the same message builds up a modern way of communication that automatic systems are not used to deal with in this paper we extend recent advances in emoji prediction by putting forward a multimodal approach that is able to predict emojis in instagram posts instagram posts are composed of pictures together with texts which sometimes include emojis we show that these emojis can be predicted by using the text but also using the picture our main finding is that incorporating the two synergistic modalities in a combined model improves accuracy in an emoji prediction task this result demonstrates that these two modalities text and images encode different information on the use of emojis and therefore can complement each other | [['emojis', 'are', 'small', 'images', 'that', 'are', 'commonly', 'included', 'in', 'social', 'media', 'text', 'messages', 'the', 'combination', 'of', 'visual', 'and', 'textual', 'content', 'in', 'the', 'same', 'message', 'builds', 'up', 'a', 'modern', 'way', 'of', 'communication', 'that', 'automatic', 'systems', 'are', 'not', 'used', 'to', 'deal', 'with', 'in', 'this', 'paper', 'we', 'extend', 'recent', 'advances', 'in', 'emoji', 'prediction', 'by', 'putting', 'forward', 'a', 'multimodal', 'approach', 'that', 'is', 'able', 'to', 'predict', 'emojis', 'in', 'instagram', 'posts', 'instagram', 'posts', 'are', 'composed', 'of', 'pictures', 'together', 'with', 'texts', 'which', 'sometimes', 'include', 'emojis', 'we', 'show', 'that', 'these', 'emojis', 'can', 'be', 'predicted', 'by', 'using', 'the', 'text', 'but', 'also', 'using', 'the', 'picture', 'our', 'main', 'finding', 'is', 'that', 'incorporating', 'the', 'two', 'synergistic', 'modalities', 'in', 'a', 'combined', 'model', 'improves', 'accuracy', 'in', 'an', 'emoji', 'prediction', 'task', 'this', 'result', 'demonstrates', 'that', 'these', 'two', 'modalities', 'text', 'and', 'images', 'encode', 'different', 'information', 'on', 'the', 'use', 'of', 'emojis', 'and', 'therefore', 'can', 'complement', 'each', 'other']] | [-0.059579927351608476, 0.04050624054185131, -0.07847789071092848, 0.08306914674051638, -0.1512790200832699, -0.14901232663209418, 0.0289624946499576, 0.4652804306841322, -0.26869174085025277, -0.32063745414572103, 0.03949170791560651, -0.3858503895146506, -0.18928367142964686, 0.18066878470292846, -0.13237260105420967, -0.005086058205259698, 0.11316360679504994, 0.07376374332899494, -0.014882865139017147, -0.31032683333781147, 0.3285196200279253, -0.0317671820222001, 0.30210614885602677, 0.05319933630110297, 0.06638514179233296, -0.02588124080295009, -0.11657381383702159, 0.024299730087763496, -0.0507645186085678, 0.20377309078550232, 0.3651322980311566, 0.19900079642622068, 0.27396794656358125, -0.4366913294087031, -0.23752124423959425, 0.0124553725988205, 0.17169303220996102, 0.12903169011946636, -0.04418441196487818, -0.35162399989951937, 0.10504208779810661, -0.1737871394409532, 0.0390826544225482, -0.11238230186448034, -0.00876516589529014, 0.01778633047693542, -0.22437773186497256, 0.04285029878187093, 0.061166518441002286, 0.07428678456427795, -0.0047979162373979175, -0.08334526256741291, 0.014714045234723017, 0.21795417699696762, 0.07493881593109109, 0.03658826283561731, 0.09525740636662314, -0.15285542586186368, -0.15988641059957445, 0.3966495371623231, -0.06381463960777702, -0.21887449058704078, 0.20274014792272022, -0.06210281201471974, -0.1587116293575881, 0.08293275745153161, 0.22085213099739381, 0.0836780316479105, -0.18846124864981642, -0.04543058869021479, -0.10206020687972861, 0.2572630787434589, 0.10196600713367973, 0.02326555540119963, 0.18572921875997314, 0.19096619748576943, -0.054654392264118154, 0.08551844034102812, -0.04942522252178086, -0.03934813533976142, -0.19398258587877665, -0.13029784959009183, -0.15987433644144664, -0.04468565096436318, -0.0956647023089837, -0.10016196058963292, 0.36288307680349263, 0.25057474907620675, 0.22265849640659455, 0.06217636682641958, 0.3136773333036607, 0.0003303057755277093, 0.11939180959016085, 0.053231359073210374, 0.15500235239742324, -0.003421491155001734, 0.1536810526757368, -0.09394088513799943, 0.0894119564452142, 0.038068033515342645] |
1,803.02393 | Game Theoretic Analysis of Road User Safety Scenarios Involving
Autonomous Vehicles | Interactions between pedestrians, bikers, and human-driven vehicles have been
a major concern in traffic safety over the years. The upcoming age of
autonomous vehicles will further raise major problems on whether self-driving
cars can accurately avoid accidents; on the other hand, usability issues arise
on whether human-driven cars and pedestrians can dominate the road at the
expense of the autonomous vehicles which will be programmed to avoid accidents.
This paper proposes some game theoretical models applied to related traffic
scenarios. In the first two games the reciprocal influence between a pedestrian
and a vehicle (either autonomous or not) is analyzed, while the third game
investigates the intersection of two vehicles, possibly autonomous. The games
have been simulated in order to demonstrate the theoretical analysis and the
predicted behaviors. These investigations can shed new lights on how novel
urban traffic regulations could be required to allow for a better interaction
of vehicles and a general improved management of traffic and communication
vehicular networks.
| cs.GT cs.LO | interactions between pedestrians bikers and humandriven vehicles have been a major concern in traffic safety over the years the upcoming age of autonomous vehicles will further raise major problems on whether selfdriving cars can accurately avoid accidents on the other hand usability issues arise on whether humandriven cars and pedestrians can dominate the road at the expense of the autonomous vehicles which will be programmed to avoid accidents this paper proposes some game theoretical models applied to related traffic scenarios in the first two games the reciprocal influence between a pedestrian and a vehicle either autonomous or not is analyzed while the third game investigates the intersection of two vehicles possibly autonomous the games have been simulated in order to demonstrate the theoretical analysis and the predicted behaviors these investigations can shed new lights on how novel urban traffic regulations could be required to allow for a better interaction of vehicles and a general improved management of traffic and communication vehicular networks | [['interactions', 'between', 'pedestrians', 'bikers', 'and', 'humandriven', 'vehicles', 'have', 'been', 'a', 'major', 'concern', 'in', 'traffic', 'safety', 'over', 'the', 'years', 'the', 'upcoming', 'age', 'of', 'autonomous', 'vehicles', 'will', 'further', 'raise', 'major', 'problems', 'on', 'whether', 'selfdriving', 'cars', 'can', 'accurately', 'avoid', 'accidents', 'on', 'the', 'other', 'hand', 'usability', 'issues', 'arise', 'on', 'whether', 'humandriven', 'cars', 'and', 'pedestrians', 'can', 'dominate', 'the', 'road', 'at', 'the', 'expense', 'of', 'the', 'autonomous', 'vehicles', 'which', 'will', 'be', 'programmed', 'to', 'avoid', 'accidents', 'this', 'paper', 'proposes', 'some', 'game', 'theoretical', 'models', 'applied', 'to', 'related', 'traffic', 'scenarios', 'in', 'the', 'first', 'two', 'games', 'the', 'reciprocal', 'influence', 'between', 'a', 'pedestrian', 'and', 'a', 'vehicle', 'either', 'autonomous', 'or', 'not', 'is', 'analyzed', 'while', 'the', 'third', 'game', 'investigates', 'the', 'intersection', 'of', 'two', 'vehicles', 'possibly', 'autonomous', 'the', 'games', 'have', 'been', 'simulated', 'in', 'order', 'to', 'demonstrate', 'the', 'theoretical', 'analysis', 'and', 'the', 'predicted', 'behaviors', 'these', 'investigations', 'can', 'shed', 'new', 'lights', 'on', 'how', 'novel', 'urban', 'traffic', 'regulations', 'could', 'be', 'required', 'to', 'allow', 'for', 'a', 'better', 'interaction', 'of', 'vehicles', 'and', 'a', 'general', 'improved', 'management', 'of', 'traffic', 'and', 'communication', 'vehicular', 'networks']] | [-0.19137324085516602, 0.1002745974800308, -0.091718019456617, 0.07560365528461487, -0.09607904295172588, -0.17277988548861978, 0.08921165429817421, 0.3800540930465048, -0.2244173723214053, -0.33499769845770466, 0.13434513304224469, -0.2937259113209115, -0.16267036358728132, 0.21003865090308044, -0.20918790019335753, 0.09412244935002592, 0.09753349833377281, 0.03770079438281418, 0.04818808278327601, -0.258408911747536, 0.27740208247825965, -0.02564413147334607, 0.3013340546692043, 0.150535956408863, 0.07049033775879646, -0.031364581787694294, -0.026953707713587783, 0.025621190112562746, -0.05603020987760873, 0.12295107910268811, 0.34065951407667594, 0.15350066074515106, 0.33366064727881256, -0.534312158236625, -0.27264805926573404, 0.17112279792580706, 0.16967972940592854, 0.04625004786138572, 0.004047572290823784, -0.38013779618029975, 0.07859133229947385, -0.2207317716717996, -0.11829205540966035, -0.030330055235206176, -0.013953203595542337, 0.09276176105938955, -0.222877471335879, -0.050954365272097936, -0.026160578653043894, 0.10583834148897434, -0.017941440573468068, -0.0520774217927541, 0.014630197609176882, 0.24970090864829858, 0.08550511411948843, -0.04742681235937333, 0.16083988771819865, -0.1840323561868619, -0.17565432505360173, 0.4588654418763371, 0.03234379029226271, -0.1480163236171651, 0.20674521498738524, -0.0378712868478931, -0.1349427715306067, 0.06382787692860735, 0.3062337619959618, 0.06594538737525359, -0.19092520063651014, -0.05913714950337983, -0.0047953134276156805, 0.12841382333261456, 0.06217622042369143, -0.050982876187463486, 0.22060394134341213, 0.23429755931490182, 0.18636310062900094, 0.029919589644392813, -0.07191174470440105, -0.1339054852206674, -0.20199229494082155, -0.11331609001578648, -0.08373414123729792, 0.002644652715703777, -0.05376537458882753, -0.048833814820412685, 0.3646399896982827, 0.23631529670128207, 0.12743098959096788, 0.03209811612032354, 0.3730073781701288, 0.06487042542811437, 0.05495005253598922, 0.08549609256873804, 0.20592611732071317, -0.004869560308662461, 0.21146447496434076, -0.23866776183512015, 0.15514371094270896, 0.014784251404408779] |
1,803.02394 | Impact of disorder on the superconducting transition temperature near a
Lifshitz transition | Multi-band superconductivity is realized in a plethora of systems, from
high-temperature superconductors to very diluted superconductors. While several
properties of multi-band superconductors can be understood as straightforward
generalizations of their single-band counterparts, recent works have unveiled
rather unusual behaviors unique to the former case. In this regard, a regime
that has received significant attention is that near a Lifshitz transition, in
which one of the bands crosses the Fermi level. In this work, we investigate
how impurity scattering $\tau^{-1}$ affects the superconducting transition
temperature $T_{c}$ across a Lifshitz transition, in the regime where
intra-band pairing is dominant and inter-band pairing is subleading. This is
accomplished by deriving analytic asymptotic expressions for $T_{c}$ and
$\partial T_{c}/\partial\tau^{-1}$ in a two-dimensional two-band system. When
the inter-band pairing interaction is repulsive, we find that, despite the
incipient nature of the band crossing the Fermi level, inter-band impurity
scattering is extremely effective in breaking Cooper pairs, making $\partial
T_{c}/\partial\tau^{-1}$ quickly approach the limiting Abrikosov-Gor'kov value
of the high-density regime. In contrast, when the inter-band pairing
interaction is attractive, pair-breaking is much less efficient, affecting
$T_{c}$ only mildly at the vicinity of the Lifshitz transition. The consequence
of this general result is that the behavior of $T_{c}$ across a Lifshitz
transition can be qualitatively changed in the presence of strong enough
disorder: instead of displaying a sharp increase across the Lifshitz
transition, as in the clean case, $T_{c}$ can actually display a maximum and be
suppressed at the Lifshitz transition. These results shed new light on the
non-trivial role of impurity scattering in multi-band superconductors.
| cond-mat.supr-con | multiband superconductivity is realized in a plethora of systems from hightemperature superconductors to very diluted superconductors while several properties of multiband superconductors can be understood as straightforward generalizations of their singleband counterparts recent works have unveiled rather unusual behaviors unique to the former case in this regard a regime that has received significant attention is that near a lifshitz transition in which one of the bands crosses the fermi level in this work we investigate how impurity scattering tau1 affects the superconducting transition temperature t_c across a lifshitz transition in the regime where intraband pairing is dominant and interband pairing is subleading this is accomplished by deriving analytic asymptotic expressions for t_c and partial t_cpartialtau1 in a twodimensional twoband system when the interband pairing interaction is repulsive we find that despite the incipient nature of the band crossing the fermi level interband impurity scattering is extremely effective in breaking cooper pairs making partial t_cpartialtau1 quickly approach the limiting abrikosovgorkov value of the highdensity regime in contrast when the interband pairing interaction is attractive pairbreaking is much less efficient affecting t_c only mildly at the vicinity of the lifshitz transition the consequence of this general result is that the behavior of t_c across a lifshitz transition can be qualitatively changed in the presence of strong enough disorder instead of displaying a sharp increase across the lifshitz transition as in the clean case t_c can actually display a maximum and be suppressed at the lifshitz transition these results shed new light on the nontrivial role of impurity scattering in multiband superconductors | [['multiband', 'superconductivity', 'is', 'realized', 'in', 'a', 'plethora', 'of', 'systems', 'from', 'hightemperature', 'superconductors', 'to', 'very', 'diluted', 'superconductors', 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1,803.02395 | Arbitrary Discrete Sequence Anomaly Detection with Zero Boundary LSTM | We propose a simple mathematical definition and new neural architecture for
finding anomalies within discrete sequence datasets. Our model comprises of a
modified LSTM autoencoder and an array of One-Class SVMs. The LSTM takes in
elements from a sequence and creates context vectors that are used to predict
the probability distribution of the following element. These context vectors
are then used to train an array of One-Class SVMs. These SVMs are used to
determine an outlier boundary in context space.We show that our method is
consistently more stable and also outperforms standard LSTM and sliding window
anomaly detection systems on two generated datasets.
| cs.LG | we propose a simple mathematical definition and new neural architecture for finding anomalies within discrete sequence datasets our model comprises of a modified lstm autoencoder and an array of oneclass svms the lstm takes in elements from a sequence and creates context vectors that are used to predict the probability distribution of the following element these context vectors are then used to train an array of oneclass svms these svms are used to determine an outlier boundary in context spacewe show that our method is consistently more stable and also outperforms standard lstm and sliding window anomaly detection systems on two generated datasets | [['we', 'propose', 'a', 'simple', 'mathematical', 'definition', 'and', 'new', 'neural', 'architecture', 'for', 'finding', 'anomalies', 'within', 'discrete', 'sequence', 'datasets', 'our', 'model', 'comprises', 'of', 'a', 'modified', 'lstm', 'autoencoder', 'and', 'an', 'array', 'of', 'oneclass', 'svms', 'the', 'lstm', 'takes', 'in', 'elements', 'from', 'a', 'sequence', 'and', 'creates', 'context', 'vectors', 'that', 'are', 'used', 'to', 'predict', 'the', 'probability', 'distribution', 'of', 'the', 'following', 'element', 'these', 'context', 'vectors', 'are', 'then', 'used', 'to', 'train', 'an', 'array', 'of', 'oneclass', 'svms', 'these', 'svms', 'are', 'used', 'to', 'determine', 'an', 'outlier', 'boundary', 'in', 'context', 'spacewe', 'show', 'that', 'our', 'method', 'is', 'consistently', 'more', 'stable', 'and', 'also', 'outperforms', 'standard', 'lstm', 'and', 'sliding', 'window', 'anomaly', 'detection', 'systems', 'on', 'two', 'generated', 'datasets']] | [-0.06191442535570778, 0.03568623814371853, -0.07729263605439167, 0.07615633617331573, -0.10202942792217708, -0.17616382114322476, 0.016908368975086845, 0.46150371771378135, -0.2951483123176234, -0.2696438506516872, 0.07237587361234846, -0.2702044020316482, -0.205958639904495, 0.18567788650426398, -0.10205248418463014, 0.07684369715048199, 0.1288014940591981, 0.0694629609431095, -0.039846810173170946, -0.2939592306954262, 0.2997988806607979, 0.025672548034599105, 0.32981411996975685, -0.062225440137305306, 0.14889444319024972, -0.045369365838021765, -0.042945151537141395, -0.0031617732121817115, -0.015552184179010439, 0.1700535740531547, 0.2552770080261873, 0.18602694861830474, 0.271322726416718, -0.41420878477177575, -0.2479795213716412, 0.09419406273230477, 0.14128094716494885, 0.09267410413544055, -0.02005320702392938, -0.3088008818008657, 0.12521325269695913, -0.17193500664835634, -0.0066592682840176, -0.14630152439716662, -0.009358880788232516, -0.014426333739340883, -0.3424176921507398, 0.04952783349339705, 0.07685959176386445, -0.005700141363279912, -0.08732282769531735, -0.15130344974623033, 0.04061094672844103, 0.112699336883187, 0.005119136287107412, 0.05647605582981289, 0.08699086456315465, -0.10468250804228112, -0.1632488200630884, 0.336721577148125, -0.12273597308588259, -0.22282773656861007, 0.204283272225898, 0.0058563801016911715, -0.1490274162022668, 0.05691733525939358, 0.24612348719084073, 0.10127748456191343, -0.15523260839066458, -0.012542391191937428, -0.08340741714204943, 0.18090038621816243, 0.04999856582336417, -0.03845234200792405, 0.20953497297392742, 0.2639977028683841, 0.002987117976745934, 0.13850824987895569, -0.1844734575212888, -0.06646520371358951, -0.2667144183250307, -0.12121321511391586, -0.18395492301132638, -0.06593285958978881, -0.11319006924690946, -0.2030918583436643, 0.42139637654701484, 0.23956045103304593, 0.20747508984104304, 0.14098657300306972, 0.26478747347170867, 0.049456418928174865, 0.1372107182746952, 0.10527762126864738, 0.15455237037764447, 0.09048235176800234, 0.05496811709656082, -0.14923425663253564, 0.03922662760122019, 0.1162197487564414] |
1,803.02396 | A toy model for time evolving QFT on a lattice with controllable chaos | A class of models with a dynamics of generalized quantum cat maps on a
product of quantum tori is described. These tori are defined by an algebra of
clock-shift matrices of dimension $N$. The dynamics is such that the Lyapunov
exponents can be computed analytically at large $N$. Some of these systems can
be thought of as a toy model for quantum fields on a lattice under a time
evolution with nearest neighbor interactions, resembling a quantum version of a
cellular automaton. The dynamics of entangling is studied for initial product
states. Some of these entangle at rates determined by Lyapunov exponents of the
system at large $N$ when the initial states are gaussian. For other classes of
states, entanglement between two regions can be computed analytically: it is
found that entanglement rates are controlled by $\log(N)$. Some of these setups
can be realized on quantum computers with CNOT quantum gates. This is analyzed
in detail where we find that the dynamics has a self-similar behavior and
various peculiar behaviors. This dynamics can be interpreted in a particular
basis as a machine that broadcasts classical messages in one direction and that
produces over time a generalized GHZ state with the receiving region once we
consider superpositions of such messages. With the appropriate choice of
quantum vacuum on the receiving end of the system one can stop the message from
leaving the broadcast area.
| hep-th quant-ph | a class of models with a dynamics of generalized quantum cat maps on a product of quantum tori is described these tori are defined by an algebra of clockshift matrices of dimension n the dynamics is such that the lyapunov exponents can be computed analytically at large n some of these systems can be thought of as a toy model for quantum fields on a lattice under a time evolution with nearest neighbor interactions resembling a quantum version of a cellular automaton the dynamics of entangling is studied for initial product states some of these entangle at rates determined by lyapunov exponents of the system at large n when the initial states are gaussian for other classes of states entanglement between two regions can be computed analytically it is found that entanglement rates are controlled by logn some of these setups can be realized on quantum computers with cnot quantum gates this is analyzed in detail where we find that the dynamics has a selfsimilar behavior and various peculiar behaviors this dynamics can be interpreted in a particular basis as a machine that broadcasts classical messages in one direction and that produces over time a generalized ghz state with the receiving region once we consider superpositions of such messages with the appropriate choice of quantum vacuum on the receiving end of the system one can stop the message from leaving the broadcast area | [['a', 'class', 'of', 'models', 'with', 'a', 'dynamics', 'of', 'generalized', 'quantum', 'cat', 'maps', 'on', 'a', 'product', 'of', 'quantum', 'tori', 'is', 'described', 'these', 'tori', 'are', 'defined', 'by', 'an', 'algebra', 'of', 'clockshift', 'matrices', 'of', 'dimension', 'n', 'the', 'dynamics', 'is', 'such', 'that', 'the', 'lyapunov', 'exponents', 'can', 'be', 'computed', 'analytically', 'at', 'large', 'n', 'some', 'of', 'these', 'systems', 'can', 'be', 'thought', 'of', 'as', 'a', 'toy', 'model', 'for', 'quantum', 'fields', 'on', 'a', 'lattice', 'under', 'a', 'time', 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1,803.02397 | Markov chain Monte Carlo population synthesis of single radio pulsars in
the Galaxy | We present a model of evolution of solitary neutron stars, including spin
parameters, magnetic field decay, motion in the Galactic potential and birth
inside spiral arms. We use two parametrizations of the radio-luminosity law and
model the radio selection effects. Dispersion measure is estimated from the
recent model of free electron distribution in the Galaxy (YMW16). Model
parameters are optimized using the Markov Chain Monte Carlo technique. The
preferred model has a short decay scale of the magnetic field of 4.27 +0.4
-0.38 Myr. However, it has non-negligible correlation with parameters
describing the pulsar radio luminosity. Based on the best-fit model, we predict
that the Square Kilometre Array surveys will increase the population of known
single radio pulsars by between 23 and 137 per cent. The Indri code used for
simulations is publicly available to facilitate future population synthesis
efforts.
| astro-ph.IM astro-ph.HE | we present a model of evolution of solitary neutron stars including spin parameters magnetic field decay motion in the galactic potential and birth inside spiral arms we use two parametrizations of the radioluminosity law and model the radio selection effects dispersion measure is estimated from the recent model of free electron distribution in the galaxy ymw16 model parameters are optimized using the markov chain monte carlo technique the preferred model has a short decay scale of the magnetic field of 427 04 038 myr however it has nonnegligible correlation with parameters describing the pulsar radio luminosity based on the bestfit model we predict that the square kilometre array surveys will increase the population of known single radio pulsars by between 23 and 137 per cent the indri code used for simulations is publicly available to facilitate future population synthesis efforts | [['we', 'present', 'a', 'model', 'of', 'evolution', 'of', 'solitary', 'neutron', 'stars', 'including', 'spin', 'parameters', 'magnetic', 'field', 'decay', 'motion', 'in', 'the', 'galactic', 'potential', 'and', 'birth', 'inside', 'spiral', 'arms', 'we', 'use', 'two', 'parametrizations', 'of', 'the', 'radioluminosity', 'law', 'and', 'model', 'the', 'radio', 'selection', 'effects', 'dispersion', 'measure', 'is', 'estimated', 'from', 'the', 'recent', 'model', 'of', 'free', 'electron', 'distribution', 'in', 'the', 'galaxy', 'ymw16', 'model', 'parameters', 'are', 'optimized', 'using', 'the', 'markov', 'chain', 'monte', 'carlo', 'technique', 'the', 'preferred', 'model', 'has', 'a', 'short', 'decay', 'scale', 'of', 'the', 'magnetic', 'field', 'of', '427', '04', '038', 'myr', 'however', 'it', 'has', 'nonnegligible', 'correlation', 'with', 'parameters', 'describing', 'the', 'pulsar', 'radio', 'luminosity', 'based', 'on', 'the', 'bestfit', 'model', 'we', 'predict', 'that', 'the', 'square', 'kilometre', 'array', 'surveys', 'will', 'increase', 'the', 'population', 'of', 'known', 'single', 'radio', 'pulsars', 'by', 'between', '23', 'and', '137', 'per', 'cent', 'the', 'indri', 'code', 'used', 'for', 'simulations', 'is', 'publicly', 'available', 'to', 'facilitate', 'future', 'population', 'synthesis', 'efforts']] | [-0.08125999591180257, 0.14166661929422325, -0.04130234728800133, 0.1149628111759999, -0.10361775158505354, -0.09703650394554383, 0.03716456225374713, 0.4265353593310075, -0.21288147481058592, -0.37024507556177144, 0.06785517980377855, -0.29218549566077334, -0.04005815422694598, 0.22076009022005436, 0.06935493074540448, 0.027185453926878315, 0.07699922374283363, -0.05418837048179869, -0.04761152726132423, -0.20445791089847, 0.2299223725683987, 0.1346621140505054, 0.2434096726988043, -0.03562559498241171, 0.10891411440679803, -0.027567638510039873, -0.049491118187350885, -0.04987580083044512, -0.18099763049982098, 0.04405167987570167, 0.16834258737009286, 0.12969706470612435, 0.22004990538116545, -0.39345814998793815, -0.2081408595134105, 0.08838706054541814, 0.17563532786111213, 0.086313947500977, -0.05734224079476137, -0.2515964774814035, 0.025819886896143934, -0.2509067173799459, -0.17421695075463503, 0.05195267486186432, 0.02727778351566355, 0.08682768800811443, -0.23852617162878492, 0.1281396935702235, -0.039128063855293604, 0.07060196020403445, -0.10982668420100318, -0.1446417186059989, -0.014499769639223814, 0.09369246041086236, 0.04475793721586732, 0.09269357074185142, 0.16069036950024643, -0.11275737402029336, -0.10599957437724307, 0.36025636574319964, -0.10159304519183934, -0.09608804316792105, 0.1390405567545843, -0.20410090991561966, -0.15011410067922304, 0.1308067170038287, 0.18515834932082464, 0.08313060441562681, -0.17957660814281554, 0.04741822136441312, -0.006797536176496318, 0.23346150752290018, -0.02522497690349285, 0.011903285998622387, 0.30670847086501973, 0.20001071566158707, 0.003123848040455154, 0.10683165539189109, -0.24879755723522975, -0.08276413404008573, -0.23805466929251062, -0.06063698193756863, -0.1549075962776052, 0.07264192198137087, -0.12016628393872192, -0.13925496957797026, 0.39437272752901276, 0.1747802746367922, 0.12448705619068018, 0.059125875531130336, 0.2820949583613713, 0.0800839005537065, 0.11310403690357426, 0.08940761656433877, 0.27186497994698583, 0.17634911639449585, 0.051984116514878616, -0.2398360949371376, 0.0829766257108921, -0.011958947631397418] |
1,803.02398 | Visualizing Convolutional Neural Network Protein-Ligand Scoring | Protein-ligand scoring is an important step in a structure-based drug design
pipeline. Selecting a correct binding pose and predicting the binding affinity
of a protein-ligand complex enables effective virtual screening. Machine
learning techniques can make use of the increasing amounts of structural data
that are becoming publicly available. Convolutional neural network (CNN)
scoring functions in particular have shown promise in pose selection and
affinity prediction for protein-ligand complexes. Neural networks are known for
being difficult to interpret. Understanding the decisions of a particular
network can help tune parameters and training data to maximize performance.
Visualization of neural networks helps decompose complex scoring functions into
pictures that are more easily parsed by humans. Here we present three methods
for visualizing how individual protein-ligand complexes are interpreted by 3D
convolutional neural networks. We also present a visualization of the
convolutional filters and their weights. We describe how the intuition provided
by these visualizations aids in network design.
| stat.ML cs.LG q-bio.BM | proteinligand scoring is an important step in a structurebased drug design pipeline selecting a correct binding pose and predicting the binding affinity of a proteinligand complex enables effective virtual screening machine learning techniques can make use of the increasing amounts of structural data that are becoming publicly available convolutional neural network cnn scoring functions in particular have shown promise in pose selection and affinity prediction for proteinligand complexes neural networks are known for being difficult to interpret understanding the decisions of a particular network can help tune parameters and training data to maximize performance visualization of neural networks helps decompose complex scoring functions into pictures that are more easily parsed by humans here we present three methods for visualizing how individual proteinligand complexes are interpreted by 3d convolutional neural networks we also present a visualization of the convolutional filters and their weights we describe how the intuition provided by these visualizations aids in network design | [['proteinligand', 'scoring', 'is', 'an', 'important', 'step', 'in', 'a', 'structurebased', 'drug', 'design', 'pipeline', 'selecting', 'a', 'correct', 'binding', 'pose', 'and', 'predicting', 'the', 'binding', 'affinity', 'of', 'a', 'proteinligand', 'complex', 'enables', 'effective', 'virtual', 'screening', 'machine', 'learning', 'techniques', 'can', 'make', 'use', 'of', 'the', 'increasing', 'amounts', 'of', 'structural', 'data', 'that', 'are', 'becoming', 'publicly', 'available', 'convolutional', 'neural', 'network', 'cnn', 'scoring', 'functions', 'in', 'particular', 'have', 'shown', 'promise', 'in', 'pose', 'selection', 'and', 'affinity', 'prediction', 'for', 'proteinligand', 'complexes', 'neural', 'networks', 'are', 'known', 'for', 'being', 'difficult', 'to', 'interpret', 'understanding', 'the', 'decisions', 'of', 'a', 'particular', 'network', 'can', 'help', 'tune', 'parameters', 'and', 'training', 'data', 'to', 'maximize', 'performance', 'visualization', 'of', 'neural', 'networks', 'helps', 'decompose', 'complex', 'scoring', 'functions', 'into', 'pictures', 'that', 'are', 'more', 'easily', 'parsed', 'by', 'humans', 'here', 'we', 'present', 'three', 'methods', 'for', 'visualizing', 'how', 'individual', 'proteinligand', 'complexes', 'are', 'interpreted', 'by', '3d', 'convolutional', 'neural', 'networks', 'we', 'also', 'present', 'a', 'visualization', 'of', 'the', 'convolutional', 'filters', 'and', 'their', 'weights', 'we', 'describe', 'how', 'the', 'intuition', 'provided', 'by', 'these', 'visualizations', 'aids', 'in', 'network', 'design']] | [-0.03799775787629187, 0.033253458428530835, -0.04819254618168117, 0.13757369375652484, -0.1234403763356949, -0.22107429482463387, 0.00899097503373219, 0.5229373199805136, -0.27065689885808575, -0.31153683173319985, 0.006180283395693668, -0.2506153127328763, -0.2919444846830541, 0.17756555107452215, -0.09492365286625441, 0.09002326748919703, 0.171334884314227, 0.020593985293300882, -0.010948603881913568, -0.27692247068869974, 0.3151998182217921, 0.07308202067600383, 0.32697797112106797, 0.06070374818218331, 0.0882743917734197, 0.00042289206157288244, -0.046584449642743435, -0.006391047078725552, -0.09521253041729646, 0.26951938811689613, 0.3698535513733664, 0.22559496862513403, 0.3530665755782637, -0.4509005730070414, -0.24892508082933004, 0.07344348734139555, 0.16469184326068048, 0.1337216193126815, -0.019410627995215868, -0.28991413253449627, 0.08333987652234012, -0.1658751292756924, -0.007416461909850759, -0.2362873230610163, -0.015028988684137021, 0.035982664341046924, -0.25850462137210756, -0.00851841984399324, 0.01370835414216403, 0.05938954520970583, -0.07689429246820509, -0.1318939175757189, -0.04089612052625706, 0.2366111976635312, -0.0357911063463337, 0.0429370398858502, 0.17345498143244656, -0.2157393617194987, -0.15671758513537146, 0.3640748949300858, 0.007534085884089431, -0.22843760625729637, 0.18136982597831275, 0.027043406103527352, -0.16183342864857087, 0.11665848724153494, 0.2511042408675196, 0.08799771462687321, -0.20615660057162805, -0.03763703852441282, 0.0049768920747503154, 0.18304698519003126, 0.032708917950249966, -0.020369692532826337, 0.1950395160219482, 0.2800948131070923, -0.012233036454586732, 0.1362860399388498, -0.11900456730396516, -0.040878698782574746, -0.1677620427682996, -0.1309634265159407, -0.17542845286699313, 0.009909098071136302, -0.11413373123336162, -0.1561241754576669, 0.40690933131432583, 0.19976810126174843, 0.2151573420036584, 0.12428172144272755, 0.30408276669125284, -0.015012832890234647, 0.17457253317528915, 0.029098397237999785, 0.1662582514875178, 0.026341801468328003, 0.1080543598107573, -0.14326408463455137, 0.14842159144219852, 0.07580833287248688] |
1,803.02399 | Multi-Dimensional Item Response Theory and the Force Concept Inventory | Research on the test structure of the Force Concept Inventory (FCI) has
largely been performed with exploratory methods such as factor analysis and
cluster analysis. Multi-Dimensional Item Response Theory (MIRT) provides an
alternative to traditional Exploratory Factor Analysis which allows statistical
testing to identify the optimal number of factors. Application of MIRT to a
sample of $N=4,716$ FCI post-tests identified a 9-factor solution as optimal.
Additional analysis showed that a substantial part of the identified factor
structure resulted from the practice of using problem blocks and from pairs of
similar questions. Applying MIRT to a reduced set of FCI items removing blocked
items and repeated items produced a 6-factor solution; however, the factors had
little relation the general structure of Newtonian mechanics. A theoretical
model of the FCI was constructed from expert solutions and fit to the FCI by
constraining the MIRT parameter matrix to the theoretical model. Variations on
the theoretical model were then explored to identify an optimal model. The
optimal model supported the differentiation of Newton's 1st and 2nd law; of
one-dimensional and three-dimensional kinematics; and of the principle of the
addition of forces from Newton's 2nd law. The model suggested by the authors of
the FCI was also fit; the optimal MIRT model was statistically superior.
| physics.ed-ph | research on the test structure of the force concept inventory fci has largely been performed with exploratory methods such as factor analysis and cluster analysis multidimensional item response theory mirt provides an alternative to traditional exploratory factor analysis which allows statistical testing to identify the optimal number of factors application of mirt to a sample of n4716 fci posttests identified a 9factor solution as optimal additional analysis showed that a substantial part of the identified factor structure resulted from the practice of using problem blocks and from pairs of similar questions applying mirt to a reduced set of fci items removing blocked items and repeated items produced a 6factor solution however the factors had little relation the general structure of newtonian mechanics a theoretical model of the fci was constructed from expert solutions and fit to the fci by constraining the mirt parameter matrix to the theoretical model variations on the theoretical model were then explored to identify an optimal model the optimal model supported the differentiation of newtons 1st and 2nd law of onedimensional and threedimensional kinematics and of the principle of the addition of forces from newtons 2nd law the model suggested by the authors of the fci was also fit the optimal mirt model was statistically superior | [['research', 'on', 'the', 'test', 'structure', 'of', 'the', 'force', 'concept', 'inventory', 'fci', 'has', 'largely', 'been', 'performed', 'with', 'exploratory', 'methods', 'such', 'as', 'factor', 'analysis', 'and', 'cluster', 'analysis', 'multidimensional', 'item', 'response', 'theory', 'mirt', 'provides', 'an', 'alternative', 'to', 'traditional', 'exploratory', 'factor', 'analysis', 'which', 'allows', 'statistical', 'testing', 'to', 'identify', 'the', 'optimal', 'number', 'of', 'factors', 'application', 'of', 'mirt', 'to', 'a', 'sample', 'of', 'n4716', 'fci', 'posttests', 'identified', 'a', '9factor', 'solution', 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1,803.024 | Natural Language to Structured Query Generation via Meta-Learning | In conventional supervised training, a model is trained to fit all the
training examples. However, having a monolithic model may not always be the
best strategy, as examples could vary widely. In this work, we explore a
different learning protocol that treats each example as a unique pseudo-task,
by reducing the original learning problem to a few-shot meta-learning scenario
with the help of a domain-dependent relevance function. When evaluated on the
WikiSQL dataset, our approach leads to faster convergence and achieves
1.1%-5.4% absolute accuracy gains over the non-meta-learning counterparts.
| cs.CL cs.LG | in conventional supervised training a model is trained to fit all the training examples however having a monolithic model may not always be the best strategy as examples could vary widely in this work we explore a different learning protocol that treats each example as a unique pseudotask by reducing the original learning problem to a fewshot metalearning scenario with the help of a domaindependent relevance function when evaluated on the wikisql dataset our approach leads to faster convergence and achieves 1154 absolute accuracy gains over the nonmetalearning counterparts | [['in', 'conventional', 'supervised', 'training', 'a', 'model', 'is', 'trained', 'to', 'fit', 'all', 'the', 'training', 'examples', 'however', 'having', 'a', 'monolithic', 'model', 'may', 'not', 'always', 'be', 'the', 'best', 'strategy', 'as', 'examples', 'could', 'vary', 'widely', 'in', 'this', 'work', 'we', 'explore', 'a', 'different', 'learning', 'protocol', 'that', 'treats', 'each', 'example', 'as', 'a', 'unique', 'pseudotask', 'by', 'reducing', 'the', 'original', 'learning', 'problem', 'to', 'a', 'fewshot', 'metalearning', 'scenario', 'with', 'the', 'help', 'of', 'a', 'domaindependent', 'relevance', 'function', 'when', 'evaluated', 'on', 'the', 'wikisql', 'dataset', 'our', 'approach', 'leads', 'to', 'faster', 'convergence', 'and', 'achieves', '1154', 'absolute', 'accuracy', 'gains', 'over', 'the', 'nonmetalearning', 'counterparts']] | [-0.017261872184462845, -0.0063692094990983605, -0.07161650827831843, 0.0679234631348994, -0.11639260600680824, -0.20293110036502846, 0.06848756928361995, 0.4322512708604336, -0.2401951223622415, -0.3505239203699272, 0.06704208178284303, -0.2520715564447032, -0.15416402105157348, 0.22622866769300096, -0.14074599194679072, 0.04943259253526445, 0.12721225032873917, 0.04846341169269925, -0.10306346081647048, -0.33495434968922794, 0.254416036371946, 0.06075917881786485, 0.32878991830247367, -0.006543034666471861, 0.12650804289891807, -0.060873728671471, 0.021878639556234702, 0.010706499324772845, -0.043607985188497296, 0.11730188137814614, 0.2916728491175242, 0.17632553675635296, 0.3657500232961452, -0.31884034242565656, -0.24610241229476576, 0.14309482767500661, 0.17107559751523446, 0.13480854429177602, -0.020442792066288264, -0.289526943561875, 0.09284462093968283, -0.19931913195812906, -0.03467940798145719, -0.12298333868437278, -0.0768470454336652, -0.02066005266467321, -0.319810551892839, 0.034949602418981325, 0.08175991477169604, 0.018586840152486482, -0.07304265226279809, -0.1219761302027936, 0.034278477026170796, 0.11893847330363562, 0.0436119395731525, 0.08358752387126019, 0.12442894591632384, -0.1463203070690559, -0.16044937032645315, 0.3776911328843033, -0.07975976987720722, -0.21845344425739974, 0.20400659992909906, -0.013326825547582384, -0.08477544855453413, 0.10126250461590561, 0.21506264164451172, 0.13224630446744745, -0.15714072513169827, 0.02582756851585476, -0.06780390123921362, 0.18556623784492, 0.03233536558268084, -0.032953557837489905, 0.12927567127123687, 0.2738897330121042, 0.03042157960589975, 0.14951119100839028, -0.05989327800026248, -0.10661029670154676, -0.24781589598437262, -0.12049999203935097, -0.19441764765890018, -0.003767879867485714, -0.10534610205038254, -0.12530501879254272, 0.4031911002980037, 0.21053236561684488, 0.24002333961173214, 0.11926122741054067, 0.3612833588638089, 0.029826192326833156, 0.12009768472886538, 0.09130965820407834, 0.22857955997725102, -0.008684485124170103, 0.09849036702375584, -0.17437599576607515, 0.11087404346538031, 0.0315747751949609] |
1,803.02401 | Low-noise heralded single photons from cascaded downconversion | Heralded single photon sources are often implemented using spontaneous
parametric downconversion, but their quality can be restricted by optical loss,
double pair emission and detector dark counts. Here, we show that the
performance of such sources can be improved using cascaded downconversion, by
providing a second trigger signal to herald the presence of a single photon,
thereby reducing the effects of detector dark counts. We find that for a setup
with fixed detectors, an improved heralded second-order correlation function
$g^{(2)}$ can always be achieved with cascaded downconversion given sufficient
efficiency for the second downconversion, even for equal single-photon
production rates. Furthermore, the minimal $g^{(2)}$ value is unchanged for a
large range in pump beam intensity. These results are interesting for
applications where achieving low, stable values of $g^{(2)}$ is of primary
importance.
| quant-ph | heralded single photon sources are often implemented using spontaneous parametric downconversion but their quality can be restricted by optical loss double pair emission and detector dark counts here we show that the performance of such sources can be improved using cascaded downconversion by providing a second trigger signal to herald the presence of a single photon thereby reducing the effects of detector dark counts we find that for a setup with fixed detectors an improved heralded secondorder correlation function g2 can always be achieved with cascaded downconversion given sufficient efficiency for the second downconversion even for equal singlephoton production rates furthermore the minimal g2 value is unchanged for a large range in pump beam intensity these results are interesting for applications where achieving low stable values of g2 is of primary importance | [['heralded', 'single', 'photon', 'sources', 'are', 'often', 'implemented', 'using', 'spontaneous', 'parametric', 'downconversion', 'but', 'their', 'quality', 'can', 'be', 'restricted', 'by', 'optical', 'loss', 'double', 'pair', 'emission', 'and', 'detector', 'dark', 'counts', 'here', 'we', 'show', 'that', 'the', 'performance', 'of', 'such', 'sources', 'can', 'be', 'improved', 'using', 'cascaded', 'downconversion', 'by', 'providing', 'a', 'second', 'trigger', 'signal', 'to', 'herald', 'the', 'presence', 'of', 'a', 'single', 'photon', 'thereby', 'reducing', 'the', 'effects', 'of', 'detector', 'dark', 'counts', 'we', 'find', 'that', 'for', 'a', 'setup', 'with', 'fixed', 'detectors', 'an', 'improved', 'heralded', 'secondorder', 'correlation', 'function', 'g2', 'can', 'always', 'be', 'achieved', 'with', 'cascaded', 'downconversion', 'given', 'sufficient', 'efficiency', 'for', 'the', 'second', 'downconversion', 'even', 'for', 'equal', 'singlephoton', 'production', 'rates', 'furthermore', 'the', 'minimal', 'g2', 'value', 'is', 'unchanged', 'for', 'a', 'large', 'range', 'in', 'pump', 'beam', 'intensity', 'these', 'results', 'are', 'interesting', 'for', 'applications', 'where', 'achieving', 'low', 'stable', 'values', 'of', 'g2', 'is', 'of', 'primary', 'importance']] | [-0.09152398401320996, 0.17820218755525385, -0.016149079363623805, 0.06520897865641129, -0.0374132180039658, -0.1918225957038389, 0.0479040554774022, 0.4521274165934742, -0.20491948173289667, -0.3280270942063494, 0.05877497281339443, -0.2809415930656321, -0.03071563567430007, 0.2730594928919648, -0.028824788744025158, 0.09227735666607975, 0.07919454250033155, -0.01330610175941591, -0.036808349538963135, -0.2272116210784368, 0.2548700385853987, 0.09012740770016205, 0.32994644489548536, 0.062139326791194355, 0.162853551703985, -0.009340594501488587, 0.007113895873331014, -0.07191642397788889, -0.036153424817960265, 0.09272008369479215, 0.25521678015744936, 0.10446154789039583, 0.2274359872381231, -0.36767854598733585, -0.21493806300515478, 0.17439784095834263, 0.14619561240331017, 0.11283403140965453, -0.10121749100455252, -0.28032946464020025, 0.08606556120370938, -0.18594439948069383, -0.0840302709045566, -0.05774149741398904, -0.07608435065556092, 0.03541185257067396, -0.3173363547574616, 0.07923618306857393, 0.022355706313674367, -0.0086501775235361, 0.06458137808438165, -0.036843008023094044, -0.0262716944350607, 0.0732567078243433, -0.03843138777566227, 0.006746897241100669, 0.15566991353328127, -0.20006763871589844, -0.17312045476468152, 0.3477218332343248, -0.11818967988206582, -0.17160031682049687, 0.09438028913626278, -0.1624525683494567, -0.10140737733860133, 0.20843277873019828, 0.16813521647374285, 0.10356495857492766, -0.14867939099062685, -0.02343001337144277, 0.01853762019538518, 0.24201459980703835, 0.1497126333098012, 0.13448196846399119, 0.24255952452508747, 0.18344541854281543, 0.03038435100196776, 0.1836149400491691, -0.14542059294145668, -0.011048508031914631, -0.35218255481485167, -0.1141348558294615, -0.1840288898745326, 0.05483938897360173, -0.08683631049147648, -0.08208829436052563, 0.36917041141229373, 0.09430304041774379, 0.1438615588598292, 0.010176971515951058, 0.339664444440242, 0.19272906155895203, 0.06782603388560485, 0.0016179924749656384, 0.31295586672389286, 0.07891494646548491, 0.015699083482931284, -0.20584343325489582, 0.048048782285839094, -0.04251449189508672] |
1,803.02402 | Self-reporting and screening: Data with current-status and censored
observations | We consider survival data that combine three types of observations:
uncensored, right-censored, and left-censored. Such data arises from screening
a medical condition, in situations where self-detection arises naturally. Our
goal is to estimate the failure-time distribution, based on these three
observation types. We propose a novel methodology for distribution estimation
using both parametric and nonparametric techniques. We then evaluate the
performance of these estimators via simulated data. Finally, as a case study,
we estimate the patience of patients who arrive at an emergency department and
wait for treatment. Three categories of patients are observed: those who leave
the system and announce it, and thus their patience time is observed; those who
get service and thus their patience time is right-censored by the waiting time;
and those who leave the system without announcing it. For the third category,
the patients' absence is revealed only when they are called to service, which
is after they have already left; formally, their patience time is
left-censored. Other applications of our proposed methodology are discussed.
| math.ST stat.AP stat.TH | we consider survival data that combine three types of observations uncensored rightcensored and leftcensored such data arises from screening a medical condition in situations where selfdetection arises naturally our goal is to estimate the failuretime distribution based on these three observation types we propose a novel methodology for distribution estimation using both parametric and nonparametric techniques we then evaluate the performance of these estimators via simulated data finally as a case study we estimate the patience of patients who arrive at an emergency department and wait for treatment three categories of patients are observed those who leave the system and announce it and thus their patience time is observed those who get service and thus their patience time is rightcensored by the waiting time and those who leave the system without announcing it for the third category the patients absence is revealed only when they are called to service which is after they have already left formally their patience time is leftcensored other applications of our proposed methodology are discussed | [['we', 'consider', 'survival', 'data', 'that', 'combine', 'three', 'types', 'of', 'observations', 'uncensored', 'rightcensored', 'and', 'leftcensored', 'such', 'data', 'arises', 'from', 'screening', 'a', 'medical', 'condition', 'in', 'situations', 'where', 'selfdetection', 'arises', 'naturally', 'our', 'goal', 'is', 'to', 'estimate', 'the', 'failuretime', 'distribution', 'based', 'on', 'these', 'three', 'observation', 'types', 'we', 'propose', 'a', 'novel', 'methodology', 'for', 'distribution', 'estimation', 'using', 'both', 'parametric', 'and', 'nonparametric', 'techniques', 'we', 'then', 'evaluate', 'the', 'performance', 'of', 'these', 'estimators', 'via', 'simulated', 'data', 'finally', 'as', 'a', 'case', 'study', 'we', 'estimate', 'the', 'patience', 'of', 'patients', 'who', 'arrive', 'at', 'an', 'emergency', 'department', 'and', 'wait', 'for', 'treatment', 'three', 'categories', 'of', 'patients', 'are', 'observed', 'those', 'who', 'leave', 'the', 'system', 'and', 'announce', 'it', 'and', 'thus', 'their', 'patience', 'time', 'is', 'observed', 'those', 'who', 'get', 'service', 'and', 'thus', 'their', 'patience', 'time', 'is', 'rightcensored', 'by', 'the', 'waiting', 'time', 'and', 'those', 'who', 'leave', 'the', 'system', 'without', 'announcing', 'it', 'for', 'the', 'third', 'category', 'the', 'patients', 'absence', 'is', 'revealed', 'only', 'when', 'they', 'are', 'called', 'to', 'service', 'which', 'is', 'after', 'they', 'have', 'already', 'left', 'formally', 'their', 'patience', 'time', 'is', 'leftcensored', 'other', 'applications', 'of', 'our', 'proposed', 'methodology', 'are', 'discussed']] | [-0.06327511719154084, 0.0752149948008831, -0.10710233628256795, 0.09839976131710608, -0.07368001909652615, -0.17705031982075203, 0.07831733431119253, 0.4074490468250588, -0.22331087607890368, -0.32710569250972615, 0.17720945918699726, -0.3082817249438342, -0.11707146591164501, 0.19846177125240075, -0.12310509113320971, 0.026612109217025778, 0.07764605144038797, 0.056338665952139044, 0.011643174093778191, -0.3240130692720413, 0.3021943648421096, 0.016248159420073908, 0.2999739094911253, -0.02007368760293021, 0.062194474033929185, 0.03417884616372997, -0.06643156410633203, -0.02574425355038222, -0.09800094496000812, 0.05784429131787928, 0.2853488976943909, 0.18899526907869799, 0.3381248807924909, -0.4377901957315557, -0.17961039479876703, 0.11873063862542896, 0.09664482541642536, 0.07837443918140385, -0.01812668319531333, -0.31232084851465464, 0.07980307559345794, -0.17800416621269988, -0.09743166752570473, -0.07044945164474056, 0.004415519037010039, 0.02682936821708127, -0.29291338743162615, 0.0668097210527562, 0.023038902440491844, 0.03774855333270834, -0.0878576471032027, -0.11173496497521067, -0.003871596719631377, 0.19930730495167048, 0.10579214343075256, -0.03975072081803399, 0.1268239085589919, -0.10309021868293605, -0.11066122805864056, 0.3520475172160385, 0.014337329805814935, -0.15027210838229887, 0.2019961675231838, -0.10806433125399054, -0.1388230932657333, 0.0730320428196779, 0.1838166990536539, 0.10960630763130372, -0.22030419571888427, 0.007644842173698742, -0.034628808279247844, 0.09895741628921208, 0.05373212443390751, 0.005029348423704505, 0.15284437695655095, 0.1544460078852032, 0.03624688835184583, 0.0881766889768187, -0.09901088617659887, -0.06851150061496918, -0.2599702596664429, -0.1401900165128823, -0.14668532077579158, 0.015909869470359647, -0.04246661649025662, -0.1332806304918931, 0.3691753866205759, 0.186012572324013, 0.17606990568558958, 0.11375985810437295, 0.29186864470624746, 0.10548227255588725, 0.036227337464087586, 0.08751629311728346, 0.14157372626325335, 0.01858627032899462, 0.11246936877843623, -0.16593942839227727, 0.14986083660932148, 0.008072068780551061] |
1,803.02403 | Trifo-VIO: Robust and Efficient Stereo Visual Inertial Odometry using
Points and Lines | In this paper, we present the Trifo Visual Inertial Odometry (Trifo-VIO), a
tightly-coupled filtering-based stereo VIO system using both points and lines.
Line features help improve system robustness in challenging scenarios when
point features cannot be reliably detected or tracked, e.g. low-texture
environment or lighting change. In addition, we propose a novel lightweight
filtering-based loop closing technique to reduce accumulated drift without
global bundle adjustment or pose graph optimization. We formulate loop closure
as EKF updates to optimally relocate the current sliding window maintained by
the filter to past keyframes. We also present the Trifo Ironsides dataset, a
new visual-inertial dataset, featuring high-quality synchronized stereo camera
and IMU data from the Ironsides sensor [3] with various motion types and
textures and millimeter-accuracy groundtruth. To validate the performance of
the proposed system, we conduct extensive comparison with state-of-the-art
approaches (OKVIS, VINS-MONO and S-MSCKF) using both the public EuRoC dataset
and the Trifo Ironsides dataset.
| cs.CV | in this paper we present the trifo visual inertial odometry trifovio a tightlycoupled filteringbased stereo vio system using both points and lines line features help improve system robustness in challenging scenarios when point features cannot be reliably detected or tracked eg lowtexture environment or lighting change in addition we propose a novel lightweight filteringbased loop closing technique to reduce accumulated drift without global bundle adjustment or pose graph optimization we formulate loop closure as ekf updates to optimally relocate the current sliding window maintained by the filter to past keyframes we also present the trifo ironsides dataset a new visualinertial dataset featuring highquality synchronized stereo camera and imu data from the ironsides sensor 3 with various motion types and textures and millimeteraccuracy groundtruth to validate the performance of the proposed system we conduct extensive comparison with stateoftheart approaches okvis vinsmono and smsckf using both the public euroc dataset and the trifo ironsides dataset | [['in', 'this', 'paper', 'we', 'present', 'the', 'trifo', 'visual', 'inertial', 'odometry', 'trifovio', 'a', 'tightlycoupled', 'filteringbased', 'stereo', 'vio', 'system', 'using', 'both', 'points', 'and', 'lines', 'line', 'features', 'help', 'improve', 'system', 'robustness', 'in', 'challenging', 'scenarios', 'when', 'point', 'features', 'can', 'not', 'be', 'reliably', 'detected', 'or', 'tracked', 'eg', 'lowtexture', 'environment', 'or', 'lighting', 'change', 'in', 'addition', 'we', 'propose', 'a', 'novel', 'lightweight', 'filteringbased', 'loop', 'closing', 'technique', 'to', 'reduce', 'accumulated', 'drift', 'without', 'global', 'bundle', 'adjustment', 'or', 'pose', 'graph', 'optimization', 'we', 'formulate', 'loop', 'closure', 'as', 'ekf', 'updates', 'to', 'optimally', 'relocate', 'the', 'current', 'sliding', 'window', 'maintained', 'by', 'the', 'filter', 'to', 'past', 'keyframes', 'we', 'also', 'present', 'the', 'trifo', 'ironsides', 'dataset', 'a', 'new', 'visualinertial', 'dataset', 'featuring', 'highquality', 'synchronized', 'stereo', 'camera', 'and', 'imu', 'data', 'from', 'the', 'ironsides', 'sensor', '3', 'with', 'various', 'motion', 'types', 'and', 'textures', 'and', 'millimeteraccuracy', 'groundtruth', 'to', 'validate', 'the', 'performance', 'of', 'the', 'proposed', 'system', 'we', 'conduct', 'extensive', 'comparison', 'with', 'stateoftheart', 'approaches', 'okvis', 'vinsmono', 'and', 'smsckf', 'using', 'both', 'the', 'public', 'euroc', 'dataset', 'and', 'the', 'trifo', 'ironsides', 'dataset']] | [-0.1049673390562499, -0.004096426435832032, -0.05699086648727596, -0.0030143918181573482, -0.10612234640652068, -0.19974998239807687, 0.047270692159623935, 0.4547318228471436, -0.25559475232148543, -0.37507070163509953, 0.12691339204090918, -0.27478196504403296, -0.14357013740166286, 0.1687758475048835, -0.17720508148991748, 0.10478121015904962, 0.1719487774014277, -0.0015088542231272808, -0.0629404243432203, -0.2098359903322585, 0.24902232204055363, 0.03624060353889179, 0.2946931417283945, -0.006383720365671539, 0.15449183691663693, 0.000664685358443469, -0.03723882683123903, 0.041963402187990904, -0.06469099305860782, 0.11305480068825234, 0.2442829866225733, 0.16197309932230333, 0.23487515053956917, -0.4135474557253091, -0.1937919968837186, 0.07184943906031549, 0.1365013371728549, 0.061610210299381594, -0.049477216078421885, -0.41601003912326534, 0.08172026025146663, -0.17834640915603622, -0.018011102308886813, -0.11953563063319675, -0.03915149561515519, -0.012955120930488001, -0.28865540784624355, 0.037804349123593727, -0.009769525933447048, 0.10493132358226974, -0.07931829941911642, -0.06624990683830172, 0.02299502799379345, 0.192316386085287, -0.014378623718297795, 0.05124963339307884, 0.18582481349164337, -0.13882668365611034, -0.13348918178082003, 0.34975132316743074, -0.07955092525758357, -0.19250296012155318, 0.1913982742637592, -0.049481499191116246, -0.10004433685925936, 0.11827957181652125, 0.2223023301829878, 0.11733991747467754, -0.17575695681108827, -0.00806176249553621, -0.031840285148447084, 0.18652451197455153, 0.0338030363935487, -0.010497363129520397, 0.17712891299398556, 0.2093187482387293, 0.07476339703058138, 0.1254943945321812, -0.21828404826297437, -0.0362636436111643, -0.21046371048003876, -0.11144491823587917, -0.11793957312291145, -0.07626915060887098, -0.056025980196098224, -0.13074578239435428, 0.3964072639968148, 0.28070628907421213, 0.20201598487849542, 0.05671914859589091, 0.390524718273235, -0.002979536005448991, 0.0740442298899181, 0.10436024501962636, 0.18481921098244034, -0.04251897785242794, 0.1468914585880396, -0.19843837132410905, 0.03153840121721212, 0.07410037672410622] |
1,803.02404 | Effective electronic-only Kohn-Sham equations for the muonic molecules | A set of effective electronic-only Kohn-Sham (EKS) equations are derived for
the muonic molecules (containing a positively charged muon), which are
completely equivalent to the coupled electronic-muonic Kohn-Sham equations
derived previously within the framework of the Nuclear-Electronic Orbital
density functional theory (NEO-DFT). The EKS equations contain effective
non-coulombic external potentials depending on parameters describing muon
vibration, which are optimized during the solution of the EKS equations making
muon KS orbital reproducible. It is demonstrated that the EKS equations are
derivable from a certain class of effective electronic Hamiltonians through
applying the usual Hohenberg-Kohn theorems revealing a duality between the
NEO-DFT and the effective electronic-only DFT methodologies. The EKS equations
are computationally applied to a small set of muoniated organic radicals and it
is demonstrated that a mean effective potential maybe derived for this class of
muonic species while an electronic basis set is also designed for the muon.
These computational ingredients are then applied to muoniated ferrocenyl
radicals, which had been previously detected experimentally through adding
muonium atom to ferrocene. In line with previous computational studies, from
the six possible species the staggered conformer, where the muon is attached to
the exo position of the cyclopentadienyl ring, is deduced to be the most stable
ferrocenyl radical.
| physics.atm-clus cond-mat.other physics.atom-ph physics.chem-ph | a set of effective electroniconly kohnsham eks equations are derived for the muonic molecules containing a positively charged muon which are completely equivalent to the coupled electronicmuonic kohnsham equations derived previously within the framework of the nuclearelectronic orbital density functional theory neodft the eks equations contain effective noncoulombic external potentials depending on parameters describing muon vibration which are optimized during the solution of the eks equations making muon ks orbital reproducible it is demonstrated that the eks equations are derivable from a certain class of effective electronic hamiltonians through applying the usual hohenbergkohn theorems revealing a duality between the neodft and the effective electroniconly dft methodologies the eks equations are computationally applied to a small set of muoniated organic radicals and it is demonstrated that a mean effective potential maybe derived for this class of muonic species while an electronic basis set is also designed for the muon these computational ingredients are then applied to muoniated ferrocenyl radicals which had been previously detected experimentally through adding muonium atom to ferrocene in line with previous computational studies from the six possible species the staggered conformer where the muon is attached to the exo position of the cyclopentadienyl ring is deduced to be the most stable ferrocenyl radical | [['a', 'set', 'of', 'effective', 'electroniconly', 'kohnsham', 'eks', 'equations', 'are', 'derived', 'for', 'the', 'muonic', 'molecules', 'containing', 'a', 'positively', 'charged', 'muon', 'which', 'are', 'completely', 'equivalent', 'to', 'the', 'coupled', 'electronicmuonic', 'kohnsham', 'equations', 'derived', 'previously', 'within', 'the', 'framework', 'of', 'the', 'nuclearelectronic', 'orbital', 'density', 'functional', 'theory', 'neodft', 'the', 'eks', 'equations', 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1,803.02405 | Gravitational radiation from the classical spinning double copy | We establish a correspondence between perturbative classical gluon and
gravitational radiation emitted by spinning sources, to linear order in spin.
This is an extension of the non-spinning classical perturbative double copy and
uses the same color-to-kinematic replacements. The gravitational theory has a
scalar (dilaton) and a 2-form field (the Kalb-Ramon axion) in addition to the
graviton. In arXiv:1712.09250, we computed axion radiation in the gravitational
theory to show that the correspondence fixes its action. Here, we present
complete details of the gravitational computation. In particular, we also
calculate the graviton and dilaton amplitudes in this theory and find that they
precisely match with the predictions of the double copy. This constitutes a
non-trivial check of the classical double copy correspondence, and brings us
closer to the goal of simplifying the calculation of gravitational wave
observables for astrophysically relevant sources.
| hep-th gr-qc hep-ph | we establish a correspondence between perturbative classical gluon and gravitational radiation emitted by spinning sources to linear order in spin this is an extension of the nonspinning classical perturbative double copy and uses the same colortokinematic replacements the gravitational theory has a scalar dilaton and a 2form field the kalbramon axion in addition to the graviton in arxiv171209250 we computed axion radiation in the gravitational theory to show that the correspondence fixes its action here we present complete details of the gravitational computation in particular we also calculate the graviton and dilaton amplitudes in this theory and find that they precisely match with the predictions of the double copy this constitutes a nontrivial check of the classical double copy correspondence and brings us closer to the goal of simplifying the calculation of gravitational wave observables for astrophysically relevant sources | [['we', 'establish', 'a', 'correspondence', 'between', 'perturbative', 'classical', 'gluon', 'and', 'gravitational', 'radiation', 'emitted', 'by', 'spinning', 'sources', 'to', 'linear', 'order', 'in', 'spin', 'this', 'is', 'an', 'extension', 'of', 'the', 'nonspinning', 'classical', 'perturbative', 'double', 'copy', 'and', 'uses', 'the', 'same', 'colortokinematic', 'replacements', 'the', 'gravitational', 'theory', 'has', 'a', 'scalar', 'dilaton', 'and', 'a', '2form', 'field', 'the', 'kalbramon', 'axion', 'in', 'addition', 'to', 'the', 'graviton', 'in', 'arxiv171209250', 'we', 'computed', 'axion', 'radiation', 'in', 'the', 'gravitational', 'theory', 'to', 'show', 'that', 'the', 'correspondence', 'fixes', 'its', 'action', 'here', 'we', 'present', 'complete', 'details', 'of', 'the', 'gravitational', 'computation', 'in', 'particular', 'we', 'also', 'calculate', 'the', 'graviton', 'and', 'dilaton', 'amplitudes', 'in', 'this', 'theory', 'and', 'find', 'that', 'they', 'precisely', 'match', 'with', 'the', 'predictions', 'of', 'the', 'double', 'copy', 'this', 'constitutes', 'a', 'nontrivial', 'check', 'of', 'the', 'classical', 'double', 'copy', 'correspondence', 'and', 'brings', 'us', 'closer', 'to', 'the', 'goal', 'of', 'simplifying', 'the', 'calculation', 'of', 'gravitational', 'wave', 'observables', 'for', 'astrophysically', 'relevant', 'sources']] | [-0.14564122111358516, 0.13483479673563767, -0.11370795101666932, 0.12070547000856845, -0.10739896240342847, -0.0809517100582632, 0.03135059325979776, 0.29759480571374297, -0.19554764411740883, -0.2688912873512463, 0.0017441490002538024, -0.275540645371246, -0.14811623190625517, 0.16786979168639793, -0.038507662369203687, 0.027246613055039608, 0.036132156564717126, 0.09221769635812105, -0.08353159774303683, -0.2005305805736605, 0.32809184317353784, 0.05415570276090875, 0.18777776258716852, 0.047149541911066455, 0.10430964362218648, 0.054124542453791946, -0.06481355294304461, -0.03808935885043705, -0.14565342011134336, 0.10387957678176463, 0.21207330238265806, 0.11185945570811301, 0.16556566856418023, -0.4255795771981973, -0.18400114804492607, 0.10217913812341388, 0.11771531754964278, 0.19474200021496096, -0.03272852703572854, -0.24612930498851177, 0.08550455780556042, -0.20123928681235104, -0.15367412751691198, -0.06319849102703087, 0.025028698770363594, -0.0563174575545752, -0.2533917001205469, 0.03907654989961884, 0.016173743841457453, -0.05077965643517125, -0.05524369657659383, -0.01605839095517534, -0.019534867029185134, 0.08415382571162328, 0.11828383610083941, 0.10809935886166333, 0.14325392767376102, -0.18706477747935638, -0.13730833346883575, 0.38457175279686723, -0.1229321461809484, -0.1922969271622338, 0.14551758596344905, -0.21280377385932403, -0.17716333938262643, 0.11266001852003255, 0.10075045838054981, 0.1422422763197948, -0.13565701124196708, 0.1679180792048368, 0.004567101293158724, 0.16387830796713174, 0.12319243137779481, 0.06774436962886658, 0.2896710496587569, 0.08319668336052392, -0.0008775105234235525, 0.16597776440218748, -0.05536533803131212, -0.09385956901592983, -0.40593653300996213, -0.14626290463595926, -0.11375399922048125, 0.08519692671763872, -0.12535023658732397, -0.18302859822656234, 0.3745059041333768, 0.1430889560112572, 0.1186245641010293, 0.05408647459219484, 0.28814664757502373, 0.13488155978077832, 0.056767063639948476, 0.04120394138633, 0.3354905184550101, 0.19749229519306133, 0.07041497210122864, -0.2555940626873909, -0.08732668972601566, 0.08295831375289708] |
1,803.02406 | Tip of the red giant branch distances to the dwarf galaxies dw1335-29
and dw1340-30 in the Centaurus group | The abundance and spatial distribution of dwarf galaxies are excellent
empirical benchmarks to test models of structure formation on small scales. The
nearby Centaurus group, with its two subgroups centered on CenA and M83, stands
out as an important alternative to the Local Group for scrutinizing
cosmological model predictions in a group of galaxies context. We have obtained
deep optical images of three recently discovered M83 satellite galaxy
candidates with the FORS2 instrument mounted on the Very Large Telescope. We
aim to confirm their group membership and study their stellar population. Deep
VI-band photometry is used to resolve the brightest stars in our targets.
Artificial star tests are performed to estimate the completeness and
uncertainties of the photometry. The color-magnitude diagrams reveal the red
giant branch (RGB) stars allowing to use the Sobel edge detection method to
measure the magnitude of the RGB tip and thus derive distances and group
membership for our targets. The mean metallicity of the dwarf galaxies are
further determined by fitting BASTI model isochrones to the mean RGB locus. We
confirm the two candidates, dw1335-29 and dw1340-30, to be dwarf satellites of
the M83 subgroup, with estimated distances of 5.03 +- 0.24 Mpc and 5.06 +- 0.24
Mpc, respectively. Their respective mean metallicities of <[Fe/H]> = -1.79 +-
0.4 and <[Fe/H]> = -2.27 +- 0.4 are consistent with the metallicity-luminosity
relation for dwarf galaxies. The third candidate, dw1325-33, could not be
resolved into stars due to insufficiently deep images, implying its distance
must be larger than 5.3 Mpc. Using the two newly derived distances we assess
the spatial distribution of the galaxies in the M83 subgroup and discuss a
potential plane-ofsatellites around M83.
| astro-ph.GA | the abundance and spatial distribution of dwarf galaxies are excellent empirical benchmarks to test models of structure formation on small scales the nearby centaurus group with its two subgroups centered on cena and m83 stands out as an important alternative to the local group for scrutinizing cosmological model predictions in a group of galaxies context we have obtained deep optical images of three recently discovered m83 satellite galaxy candidates with the fors2 instrument mounted on the very large telescope we aim to confirm their group membership and study their stellar population deep viband photometry is used to resolve the brightest stars in our targets artificial star tests are performed to estimate the completeness and uncertainties of the photometry the colormagnitude diagrams reveal the red giant branch rgb stars allowing to use the sobel edge detection method to measure the magnitude of the rgb tip and thus derive distances and group membership for our targets the mean metallicity of the dwarf galaxies are further determined by fitting basti model isochrones to the mean rgb locus we confirm the two candidates dw133529 and dw134030 to be dwarf satellites of the m83 subgroup with estimated distances of 503 024 mpc and 506 024 mpc respectively their respective mean metallicities of feh 179 04 and feh 227 04 are consistent with the metallicityluminosity relation for dwarf galaxies the third candidate dw132533 could not be resolved into stars due to insufficiently deep images implying its distance must be larger than 53 mpc using the two newly derived distances we assess the spatial distribution of the galaxies in the m83 subgroup and discuss a potential planeofsatellites around m83 | [['the', 'abundance', 'and', 'spatial', 'distribution', 'of', 'dwarf', 'galaxies', 'are', 'excellent', 'empirical', 'benchmarks', 'to', 'test', 'models', 'of', 'structure', 'formation', 'on', 'small', 'scales', 'the', 'nearby', 'centaurus', 'group', 'with', 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1,803.02407 | On the accuracy of simulating mixing by random-walk particle-based
mass-transfer algorithms | Several algorithms have been used for mass transfer between particles
undergoing advective and macro-dispersive random walks. The mass transfer
between particles is required for general reactions on, and among, particles.
The mass transfer is shown to be diffusive, and may be simulated using
implicit, explicit, or mixed methods. All algorithms investigated are accurate
to $\mathcal{O}(\Delta t)$. For $N$ particles, the implicit and semi-implicit
methods require inverse matrix solutions and $\mathcal{O}(N^3)$ calculations.
The explicit methods use forward matrix solves and require only
$\mathcal{O}(N^2)$ calculations. Practically, this means that naive
implementations with more than about 5,000 particles run more reliably using
explicit methods
| physics.comp-ph | several algorithms have been used for mass transfer between particles undergoing advective and macrodispersive random walks the mass transfer between particles is required for general reactions on and among particles the mass transfer is shown to be diffusive and may be simulated using implicit explicit or mixed methods all algorithms investigated are accurate to mathcalodelta t for n particles the implicit and semiimplicit methods require inverse matrix solutions and mathcalon3 calculations the explicit methods use forward matrix solves and require only mathcalon2 calculations practically this means that naive implementations with more than about 5000 particles run more reliably using explicit methods | [['several', 'algorithms', 'have', 'been', 'used', 'for', 'mass', 'transfer', 'between', 'particles', 'undergoing', 'advective', 'and', 'macrodispersive', 'random', 'walks', 'the', 'mass', 'transfer', 'between', 'particles', 'is', 'required', 'for', 'general', 'reactions', 'on', 'and', 'among', 'particles', 'the', 'mass', 'transfer', 'is', 'shown', 'to', 'be', 'diffusive', 'and', 'may', 'be', 'simulated', 'using', 'implicit', 'explicit', 'or', 'mixed', 'methods', 'all', 'algorithms', 'investigated', 'are', 'accurate', 'to', 'mathcalodelta', 't', 'for', 'n', 'particles', 'the', 'implicit', 'and', 'semiimplicit', 'methods', 'require', 'inverse', 'matrix', 'solutions', 'and', 'mathcalon3', 'calculations', 'the', 'explicit', 'methods', 'use', 'forward', 'matrix', 'solves', 'and', 'require', 'only', 'mathcalon2', 'calculations', 'practically', 'this', 'means', 'that', 'naive', 'implementations', 'with', 'more', 'than', 'about', '5000', 'particles', 'run', 'more', 'reliably', 'using', 'explicit', 'methods']] | [-0.021660697509360033, 0.1364404254266992, -0.06804167212918401, 0.12970123322331348, -0.04651859573554248, -0.19977022647857667, 0.010271122106350958, 0.43869793843477967, -0.2057583590131253, -0.35807261830195786, 0.08788638267084024, -0.2745824573142454, -0.0776750519638881, 0.22952538362937047, 0.022422826131805778, 0.10517649483866989, 0.11012079662643373, -0.019971315264701844, -0.12290922842454165, -0.24085425208322703, 0.2654580052057281, 0.05110088160261512, 0.20051600315608084, 0.0325381143623963, 0.13954048080137, -0.012664469610899686, -0.05726959822233766, -0.007085373038426042, -0.10730623110466694, 0.09080654207151383, 0.2422912836819887, 0.0823482331377454, 0.23741106124594807, -0.49814395889639856, -0.20413757354952394, 0.161328659420833, 0.22405969705898315, 0.15264869526028632, -0.05719692996499361, -0.19759289198089391, 0.08146693349815905, -0.17210160730406643, -0.06447138738818467, -0.13706021856050937, 0.019651005573105066, 0.02380201711319387, -0.33787827332271264, 0.09964248096570373, 0.003261260265717283, 0.034323208312125646, 0.001407291810028255, -0.1664743739075493, 0.03236389319761656, 0.12093611293705181, 0.04020995503757149, -0.04017250168137252, 0.14800907278433442, -0.06645751763833686, -0.11785405411850661, 0.39038511968217793, -0.017229444653057726, -0.2746360072866082, 0.2299642426148057, -0.044025383626576514, -0.09334960209671408, 0.1888231441192329, 0.16599885818781332, 0.19450441426131873, -0.14382492325268686, 0.07067150677205064, 0.008248245548456908, 0.18486709889955819, 0.055099039408378306, -0.03574995392933488, 0.11854308925569057, 0.14138903102953918, 0.04630087603116408, 0.025129164394456893, -0.036951901491265746, -0.14389277271926404, -0.21959288285695946, -0.16345142350168318, -0.19982738314312884, 0.030240511475130915, -0.11235567115974845, -0.11110303588764509, 0.28438503620796834, 0.17801897625089624, 0.16148515875916927, 0.08939238648163154, 0.3325712454132736, 0.10564090409316122, 0.09036287895338319, 0.17085162059403955, 0.1950321411760524, 0.15731226987205446, 0.10592465345282108, -0.19831816201098262, 0.09450961760245263, 0.10716598705388605] |
1,803.02408 | ALMA Multiple-Transition Observations of High Density Molecular Tracers
in Ultraluminous Infrared Galaxies | We present the results of our ALMA observations of eleven (ultra)luminous
infrared galaxies ((U)LIRGs) at J=4-3 of HCN, HCO+, HNC and J=3-2 of HNC. This
is an extension of our previously published HCN and HCO+ J=3-2 observations to
multiple rotational J-transitions of multiple molecules, to investigate how
molecular emission line flux ratios vary at different J-transitions. We confirm
that ULIRGs that contain or may contain luminous obscured AGNs tend to show
higher HCN-to-HCO+ flux ratios than starburst galaxies, both at J=4-3 and
J=3-2. For selected HCN-flux-enhanced AGN-important ULIRGs, our isotopologue
H13CN, H13CO+, and HN13C J=3-2 line observations suggest a higher abundance of
HCN than HCO+ and HNC, which is interpreted to be primarily responsible for the
elevated HCN flux in AGN-important galaxies. For such sources, the intrinsic
HCN-to-HCO+ flux ratios after line opacity correction will be higher than the
observed ratios, making the separation between AGNs and starbursts even larger.
The signature of the vibrationally excited (v2=1f) HCN J=4-3 emission line is
seen in one ULIRG, IRAS 12112-0305 NE. P Cygni profiles are detected in the
HCO+ J=4-3 and J=3-2 lines toward IRAS 15250+3609, with an estimated molecular
outflow rate of ~250-750 Mo/year. The SiO J=6-5 line also exhibits a P Cygni
profile in IRAS 12112+0305 NE, suggesting the presence of shocked outflow
activity. Shock tracers are detected in many sources, suggesting ubiquitous
shock activity in the nearby ULIRG population.
| astro-ph.GA | we present the results of our alma observations of eleven ultraluminous infrared galaxies ulirgs at j43 of hcn hco hnc and j32 of hnc this is an extension of our previously published hcn and hco j32 observations to multiple rotational jtransitions of multiple molecules to investigate how molecular emission line flux ratios vary at different jtransitions we confirm that ulirgs that contain or may contain luminous obscured agns tend to show higher hcntohco flux ratios than starburst galaxies both at j43 and j32 for selected hcnfluxenhanced agnimportant ulirgs our isotopologue h13cn h13co and hn13c j32 line observations suggest a higher abundance of hcn than hco and hnc which is interpreted to be primarily responsible for the elevated hcn flux in agnimportant galaxies for such sources the intrinsic hcntohco flux ratios after line opacity correction will be higher than the observed ratios making the separation between agns and starbursts even larger the signature of the vibrationally excited v21f hcn j43 emission line is seen in one ulirg iras 121120305 ne p cygni profiles are detected in the hco j43 and j32 lines toward iras 152503609 with an estimated molecular outflow rate of 250750 moyear the sio j65 line also exhibits a p cygni profile in iras 121120305 ne suggesting the presence of shocked outflow activity shock tracers are detected in many sources suggesting ubiquitous shock activity in the nearby ulirg population | [['we', 'present', 'the', 'results', 'of', 'our', 'alma', 'observations', 'of', 'eleven', 'ultraluminous', 'infrared', 'galaxies', 'ulirgs', 'at', 'j43', 'of', 'hcn', 'hco', 'hnc', 'and', 'j32', 'of', 'hnc', 'this', 'is', 'an', 'extension', 'of', 'our', 'previously', 'published', 'hcn', 'and', 'hco', 'j32', 'observations', 'to', 'multiple', 'rotational', 'jtransitions', 'of', 'multiple', 'molecules', 'to', 'investigate', 'how', 'molecular', 'emission', 'line', 'flux', 'ratios', 'vary', 'at', 'different', 'jtransitions', 'we', 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1,803.02409 | On the parameterized complexity of manipulating Top Trading Cycles | We study the problem of exchange when 1) agents are endowed with
heterogeneous indivisible objects, and 2) there is no money. In general, no
rule satisfies the three central properties Pareto-efficiency, individual
rationality, and strategy-proofness \cite{Sonmez1999}. Recently, it was shown
that Top Trading Cycles is $\NP$-hard to manipulate \cite{FujitaEA2015}, a
relaxation of strategy-proofness. However, parameterized complexity is a more
appropriate framework for this and other economic settings. Certain aspects of
the problem - number of objects each agent brings to the table, goods up for
auction, candidates in an election \cite{consandlang2007}, legislative figures
to influence \cite{christian2007complexity} - may face natural bounds or are
fixed as the problem grows. We take a parameterized complexity approach to
indivisible goods exchange for the first time. Our results represent good and
bad news for TTC. When the size of the endowments $k$ is a fixed constant, we
show that the computational task of manipulating TTC can be performed in
polynomial time. On the other hand, we show that this parameterized problem is
$\W[1]$-hard, and therefore unlikely to be \emph{fixed parameter tractable}.
| cs.GT cs.CC | we study the problem of exchange when 1 agents are endowed with heterogeneous indivisible objects and 2 there is no money in general no rule satisfies the three central properties paretoefficiency individual rationality and strategyproofness citesonmez1999 recently it was shown that top trading cycles is nphard to manipulate citefujitaea2015 a relaxation of strategyproofness however parameterized complexity is a more appropriate framework for this and other economic settings certain aspects of the problem number of objects each agent brings to the table goods up for auction candidates in an election citeconsandlang2007 legislative figures to influence citechristian2007complexity may face natural bounds or are fixed as the problem grows we take a parameterized complexity approach to indivisible goods exchange for the first time our results represent good and bad news for ttc when the size of the endowments k is a fixed constant we show that the computational task of manipulating ttc can be performed in polynomial time on the other hand we show that this parameterized problem is w1hard and therefore unlikely to be emphfixed parameter tractable | [['we', 'study', 'the', 'problem', 'of', 'exchange', 'when', '1', 'agents', 'are', 'endowed', 'with', 'heterogeneous', 'indivisible', 'objects', 'and', '2', 'there', 'is', 'no', 'money', 'in', 'general', 'no', 'rule', 'satisfies', 'the', 'three', 'central', 'properties', 'paretoefficiency', 'individual', 'rationality', 'and', 'strategyproofness', 'citesonmez1999', 'recently', 'it', 'was', 'shown', 'that', 'top', 'trading', 'cycles', 'is', 'nphard', 'to', 'manipulate', 'citefujitaea2015', 'a', 'relaxation', 'of', 'strategyproofness', 'however', 'parameterized', 'complexity', 'is', 'a', 'more', 'appropriate', 'framework', 'for', 'this', 'and', 'other', 'economic', 'settings', 'certain', 'aspects', 'of', 'the', 'problem', 'number', 'of', 'objects', 'each', 'agent', 'brings', 'to', 'the', 'table', 'goods', 'up', 'for', 'auction', 'candidates', 'in', 'an', 'election', 'citeconsandlang2007', 'legislative', 'figures', 'to', 'influence', 'citechristian2007complexity', 'may', 'face', 'natural', 'bounds', 'or', 'are', 'fixed', 'as', 'the', 'problem', 'grows', 'we', 'take', 'a', 'parameterized', 'complexity', 'approach', 'to', 'indivisible', 'goods', 'exchange', 'for', 'the', 'first', 'time', 'our', 'results', 'represent', 'good', 'and', 'bad', 'news', 'for', 'ttc', 'when', 'the', 'size', 'of', 'the', 'endowments', 'k', 'is', 'a', 'fixed', 'constant', 'we', 'show', 'that', 'the', 'computational', 'task', 'of', 'manipulating', 'ttc', 'can', 'be', 'performed', 'in', 'polynomial', 'time', 'on', 'the', 'other', 'hand', 'we', 'show', 'that', 'this', 'parameterized', 'problem', 'is', 'w1hard', 'and', 'therefore', 'unlikely', 'to', 'be', 'emphfixed', 'parameter', 'tractable']] | [-0.1546112230627618, 0.08844071811915045, -0.07592979163933568, 0.09826154105177377, -0.1347583751684349, -0.19277451144346194, 0.1113595476834245, 0.3908515801661435, -0.299513541243709, -0.3246692545325305, 0.08619062569842004, -0.278593058059297, -0.12326667452508812, 0.1776897836774751, -0.10853618162831194, 0.0189609388080126, 0.04223779175016615, 0.04231150314206399, 0.022075284456245993, -0.3468577089686796, 0.29435826315441066, 0.021432902152671844, 0.24556452040260995, 0.060216382336503234, 0.11039035708496445, 0.015626582108051325, 0.008621900930778772, 0.06856855672201392, -0.10786500246157156, 0.09004446130098873, 0.31059262125170106, 0.16783354910940193, 0.3384572992520679, -0.4010823293431112, -0.13360070800190868, 0.16826665962839293, 0.08213007502660852, 0.07447012796540532, -0.008608035668094196, -0.2038969621048663, 0.10721021029166877, -0.16177550829914317, -0.08211469173169973, -0.06650801689489282, 0.05921948292532293, 0.0002300163890284143, -0.2981987475085328, 0.004571115723348152, 0.059924623085463646, 0.031541378897674686, -0.0788268689597189, -0.11993237245727156, 0.015997868174229535, 0.1494777518413397, 0.06173971480617098, 0.011161489715821475, 0.10242141555580828, -0.1581060551733258, -0.15920655970728537, 0.42880510037754016, 0.0031129922118713284, -0.2033445005065473, 0.16463291257271293, -0.07750036337614408, -0.17731962950181282, 0.09122473274273199, 0.15331660643320705, 0.1296838830573735, -0.11408443644738822, 0.08432198844255051, -0.10689111934615332, 0.19157983777685123, 0.07704871877270876, 0.0024217111552106924, 0.1519852541005838, 0.17246933900397163, 0.12241945360046512, 0.1598220121432695, 0.01659824492339023, -0.13883298808880346, -0.24740507541910597, -0.14426729204378239, -0.1675619139820773, 0.04554703341502892, -0.1271753453274975, -0.12016014304888238, 0.3362608584500468, 0.13600797028136466, 0.16524013228256973, 0.09442254564893698, 0.2753188474476882, 0.10617219152103304, 0.023994369620228547, 0.11118128534361492, 0.1895362130796526, 0.012289133069938734, 0.07972852429592905, -0.18671705266624167, 0.13371362125947636, 0.011636540534693682] |
1,803.0241 | Quantum algorithm for energy matching in hard optimization problems | We consider the ability of local quantum dynamics to solve the energy
matching problem: given an instance of a classical optimization problem and a
low energy state, find another macroscopically distinct low energy state.
Energy matching is difficult in rugged optimization landscapes, as the given
state provides little information about the distant topography. Here we show
that the introduction of quantum dynamics can provide a speed-up over local
classical algorithms in a large class of hard optimization problems. The
essential intuition is that tunneling allows the system to explore the
optimization landscape while approximately conserving the classical energy,
even in the presence of large barriers. In particular, we study energy matching
in the random p-spin model of spin glass theory. Using perturbation theory and
numerical exact diagonalization, we show that introducing a transverse field
leads to three sharp dynamical phases, only one of which solves the matching
problem: (1) a small-field trapped phase, in which tunneling is too weak for
the system to escape the vicinity of the initial state; (2) a large-field
excited phase, in which the field excites the system into high energy states,
effectively forgetting the initial low energy; and (3) the intermediate
tunneling phase, in which the system succeeds at energy matching. We find that
in the tunneling phase, the time required to find distant states scales
exponentially with system size but is nevertheless exponentially faster than
simple classical Monte Carlo.
| cond-mat.dis-nn cond-mat.stat-mech quant-ph | we consider the ability of local quantum dynamics to solve the energy matching problem given an instance of a classical optimization problem and a low energy state find another macroscopically distinct low energy state energy matching is difficult in rugged optimization landscapes as the given state provides little information about the distant topography here we show that the introduction of quantum dynamics can provide a speedup over local classical algorithms in a large class of hard optimization problems the essential intuition is that tunneling allows the system to explore the optimization landscape while approximately conserving the classical energy even in the presence of large barriers in particular we study energy matching in the random pspin model of spin glass theory using perturbation theory and numerical exact diagonalization we show that introducing a transverse field leads to three sharp dynamical phases only one of which solves the matching problem 1 a smallfield trapped phase in which tunneling is too weak for the system to escape the vicinity of the initial state 2 a largefield excited phase in which the field excites the system into high energy states effectively forgetting the initial low energy and 3 the intermediate tunneling phase in which the system succeeds at energy matching we find that in the tunneling phase the time required to find distant states scales exponentially with system size but is nevertheless exponentially faster than simple classical monte carlo | [['we', 'consider', 'the', 'ability', 'of', 'local', 'quantum', 'dynamics', 'to', 'solve', 'the', 'energy', 'matching', 'problem', 'given', 'an', 'instance', 'of', 'a', 'classical', 'optimization', 'problem', 'and', 'a', 'low', 'energy', 'state', 'find', 'another', 'macroscopically', 'distinct', 'low', 'energy', 'state', 'energy', 'matching', 'is', 'difficult', 'in', 'rugged', 'optimization', 'landscapes', 'as', 'the', 'given', 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1,803.02411 | The Deconfinement Phase Transition in Proto-Neutron-Star Matter | In this work, we study in detail the deconfinement phase transition that
takes place in hot/dense nuclear matter in the context of neutron stars and
proto-neutron stars (in which lepton fraction is fixed). The possibility of
different mixtures of phases with different locally and globally conserved
quantities is considered in each case. For this purpose, the Chiral Mean Field
(CMF) model, an effective relativistic model that includes self-consistent
chiral symmetry restoration and deconfinement to quark matter, is employed.
Finally, we compare our results with data provided by PQCD for different
temperatures and conditions.
| nucl-th astro-ph.HE astro-ph.SR | in this work we study in detail the deconfinement phase transition that takes place in hotdense nuclear matter in the context of neutron stars and protoneutron stars in which lepton fraction is fixed the possibility of different mixtures of phases with different locally and globally conserved quantities is considered in each case for this purpose the chiral mean field cmf model an effective relativistic model that includes selfconsistent chiral symmetry restoration and deconfinement to quark matter is employed finally we compare our results with data provided by pqcd for different temperatures and conditions | [['in', 'this', 'work', 'we', 'study', 'in', 'detail', 'the', 'deconfinement', 'phase', 'transition', 'that', 'takes', 'place', 'in', 'hotdense', 'nuclear', 'matter', 'in', 'the', 'context', 'of', 'neutron', 'stars', 'and', 'protoneutron', 'stars', 'in', 'which', 'lepton', 'fraction', 'is', 'fixed', 'the', 'possibility', 'of', 'different', 'mixtures', 'of', 'phases', 'with', 'different', 'locally', 'and', 'globally', 'conserved', 'quantities', 'is', 'considered', 'in', 'each', 'case', 'for', 'this', 'purpose', 'the', 'chiral', 'mean', 'field', 'cmf', 'model', 'an', 'effective', 'relativistic', 'model', 'that', 'includes', 'selfconsistent', 'chiral', 'symmetry', 'restoration', 'and', 'deconfinement', 'to', 'quark', 'matter', 'is', 'employed', 'finally', 'we', 'compare', 'our', 'results', 'with', 'data', 'provided', 'by', 'pqcd', 'for', 'different', 'temperatures', 'and', 'conditions']] | [-0.07702060973131529, 0.24868942358701926, -0.10912181677356843, 0.08567710278520702, -0.0347867562280347, -0.060421761245496815, 0.03227040076488128, 0.3707005020271065, -0.1418504506644983, -0.2626563240924189, 0.005785956886166366, -0.25194003641284923, -0.068811741539888, 0.09331940867066864, 0.009075535518888345, 0.05249395087281222, -0.004226072741452084, 0.04853736335769676, -0.11364725517779989, -0.23132807353977114, 0.3639110524447695, 0.006384927188597058, 0.26177658891725925, 0.08543406269558135, 0.044017246812932516, -0.04026138623275103, 0.006574279864028257, -0.011786607284379262, -0.14460302396224917, -0.03217728379913556, 0.25833030982551375, 0.06614264522889449, 0.14457880572405873, -0.4372916558697339, -0.24700675934543131, 0.10901303595102202, 0.13435408725873918, 0.1440354485542924, -0.10204139992754946, -0.27025235732466546, 0.09726440312180629, -0.2245340995310295, -0.14095373724597277, -0.11318456216324721, 0.0067002938732364644, -0.0204466805387769, -0.3082921097295419, 0.11972098504236939, 0.023143982294426168, 0.026872680755332112, -0.09837885657125102, -0.14291910645652123, -0.02203435946245908, 0.08474803799062326, 0.09684472674283609, 0.06390115138774197, 0.1444880596815198, -0.17694563821699189, -0.06145592231143226, 0.4462014166337828, -0.055646097581077525, -0.13725543382667726, 0.17458875613507405, -0.18437998298250804, -0.19342597565483502, 0.09420227541798545, 0.16695521949159522, 0.15986173640516016, -0.18781697266404668, 0.04532392267187837, -0.03232538578180616, 0.1438806556009998, 0.013661474900780827, 0.0009913519425417787, 0.2754980840029255, 0.2027819423826151, -0.004966226093451022, 0.12921197633559425, -0.08368158201256426, -0.1508592692984929, -0.3546904898649182, -0.10308943558183889, -0.13276564027683468, -0.04080529135441588, -0.11409138169036978, -0.086518163522405, 0.39036711308384137, 0.17231266710641843, 0.17627426822699846, -0.005399844087209673, 0.30549368924481335, 0.0952204436223994, 0.02282232902343235, 0.08553553443221797, 0.2673686879526784, 0.19267409336152336, 0.132612475863738, -0.27433301418549033, -0.022031508602301453, 0.08261409683293232] |
1,803.02412 | Securing Untrusted Full-Duplex Relay Channels in the Presence of
Multiple External Cluster-Based Eavesdroppers | This letter investigates the physical layer security in a wireless
cooperative network where communication is assisted by a full-duplex (FD)
untrusted relay in the presence of multiple external eavesdroppers. A
cluster-based colluding eavesdropping setting is considered, where illegitimate
nodes with common interests are grouped in a cluster. In order to confuse the
different eavesdropping clusters, we consider artificial-noise-aided
beamforming at the source node. Moreover, FD relay jamming is adopted to
improve the system's security. To maintain secure communications against the
untrusted relay node, a FD destination jamming scheme is adopted. Our proposed
scheme is designed based on the channel state information of the legitimate
nodes only. Numerical results show that the optimal power allocation factor
between data and artificial noise depends on the total number of antennas of
the different colluding eavesdropping clusters.
| cs.IT cs.NI math.IT | this letter investigates the physical layer security in a wireless cooperative network where communication is assisted by a fullduplex fd untrusted relay in the presence of multiple external eavesdroppers a clusterbased colluding eavesdropping setting is considered where illegitimate nodes with common interests are grouped in a cluster in order to confuse the different eavesdropping clusters we consider artificialnoiseaided beamforming at the source node moreover fd relay jamming is adopted to improve the systems security to maintain secure communications against the untrusted relay node a fd destination jamming scheme is adopted our proposed scheme is designed based on the channel state information of the legitimate nodes only numerical results show that the optimal power allocation factor between data and artificial noise depends on the total number of antennas of the different colluding eavesdropping clusters | [['this', 'letter', 'investigates', 'the', 'physical', 'layer', 'security', 'in', 'a', 'wireless', 'cooperative', 'network', 'where', 'communication', 'is', 'assisted', 'by', 'a', 'fullduplex', 'fd', 'untrusted', 'relay', 'in', 'the', 'presence', 'of', 'multiple', 'external', 'eavesdroppers', 'a', 'clusterbased', 'colluding', 'eavesdropping', 'setting', 'is', 'considered', 'where', 'illegitimate', 'nodes', 'with', 'common', 'interests', 'are', 'grouped', 'in', 'a', 'cluster', 'in', 'order', 'to', 'confuse', 'the', 'different', 'eavesdropping', 'clusters', 'we', 'consider', 'artificialnoiseaided', 'beamforming', 'at', 'the', 'source', 'node', 'moreover', 'fd', 'relay', 'jamming', 'is', 'adopted', 'to', 'improve', 'the', 'systems', 'security', 'to', 'maintain', 'secure', 'communications', 'against', 'the', 'untrusted', 'relay', 'node', 'a', 'fd', 'destination', 'jamming', 'scheme', 'is', 'adopted', 'our', 'proposed', 'scheme', 'is', 'designed', 'based', 'on', 'the', 'channel', 'state', 'information', 'of', 'the', 'legitimate', 'nodes', 'only', 'numerical', 'results', 'show', 'that', 'the', 'optimal', 'power', 'allocation', 'factor', 'between', 'data', 'and', 'artificial', 'noise', 'depends', 'on', 'the', 'total', 'number', 'of', 'antennas', 'of', 'the', 'different', 'colluding', 'eavesdropping', 'clusters']] | [-0.35204936082376853, 0.0030093718262361293, -0.00877060299333101, -0.013585397129864396, -0.07720953969790817, -0.36396338199300315, 0.18933983469255886, 0.36188471796257154, -0.265310567558596, -0.2496156975555362, 0.04032937777088605, -0.29027782699891497, -0.16660332735767938, 0.05710430344290107, -0.13442271704176315, 0.05868418158305095, -0.009345201199482145, 0.07561098663766581, 0.07602241503151792, -0.3079784225717999, 0.35054314544046283, 0.14259268720879367, 0.40372788729636294, 0.004634591145090815, 0.05791783618961314, 0.029301453801922332, -0.03725467857036432, -0.08941095839937295, -0.05352807226548141, 0.033664039907717894, 0.3801797880419999, 0.1627181885532923, 0.3047945336053582, -0.39789047028477253, -0.28710258698889185, 0.11063546500224761, 0.1731386431212768, 0.09653774201449819, -0.032227633704774473, -0.31736804222814124, 0.18538308873093387, -0.29598701117154125, -0.009924026649039155, 0.06898442637245346, -0.11149112023833327, 0.06846229141600836, -0.36251056678873256, 0.004413889658014129, -0.03634136525346877, 0.03703501678064914, -0.014785672135343006, -0.06275477056230482, 0.013132207748599183, 0.21319875276920602, 0.0035567383966373656, -0.029841531623904138, 0.17841823882759458, -0.09075872809276041, -0.13102611633633873, 0.34848601403261037, 0.07200106775783759, -0.21781439324350735, 0.16063527812475786, -0.006694030076181306, -0.1183635565606331, 0.11565906334234248, 0.28125376513409883, 0.03824463546892306, -0.1773445681192653, -0.02367633911719742, -0.01241403954152606, 0.2233027141695296, 0.058078090873848, 0.12810750878100893, 0.11526310730715023, 0.16802572709931887, 0.15841980973176337, 0.15363347325544047, -0.14803075459890797, -0.11697898849956971, -0.2077737376063229, -0.1101110142067467, -0.2976661955472082, 0.010310933627608352, -0.11187479237461712, -0.01143958707361069, 0.31079359371686677, 0.15312326059123516, 0.0749035167290752, 0.05826421723967152, 0.4672694524428002, 0.026693741864475765, 0.02879106398335749, 0.2154347055199507, 0.2440210080572537, 0.08139391819407281, 0.12539464980363846, -0.2194850554762415, 0.11614430168489541, -0.04673081468370624] |
1,803.02413 | The weak type $(1,p)$ for convolution operators on locally compact
groups | In this paper we provide necessary and sufficient conditions for the
$\textnormal{weak}(1,p)$ boundedness, $1< p<\infty,$ of convolution operators
on locally compact (Hausdorff) topological groups. So, we generalize a
classical result due to Sobolev-Hardy-Littlewood and Stepanov. Applications to
Fourier multipliers on Lie groups also are given.
| math.FA | in this paper we provide necessary and sufficient conditions for the textnormalweak1p boundedness 1 pinfty of convolution operators on locally compact hausdorff topological groups so we generalize a classical result due to sobolevhardylittlewood and stepanov applications to fourier multipliers on lie groups also are given | [['in', 'this', 'paper', 'we', 'provide', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'textnormalweak1p', 'boundedness', '1', 'pinfty', 'of', 'convolution', 'operators', 'on', 'locally', 'compact', 'hausdorff', 'topological', 'groups', 'so', 'we', 'generalize', 'a', 'classical', 'result', 'due', 'to', 'sobolevhardylittlewood', 'and', 'stepanov', 'applications', 'to', 'fourier', 'multipliers', 'on', 'lie', 'groups', 'also', 'are', 'given']] | [-0.1224847257050664, 0.08630779446210972, -0.08502366805319177, 0.12285905563933125, -0.13588458399266698, -0.08886972155292021, 0.022321922626064788, 0.42701386729645174, -0.2725567857539931, -0.1616524212755436, 0.18910939426183007, -0.2133793407228104, -0.1623489625838607, 0.24607434722616575, -0.21722711507924075, 0.0586391004495496, 0.023980582089618195, 0.049192993138878885, -0.1146258010507323, -0.3128654762214526, 0.4152830902400405, -0.054265160849967665, 0.20682270757767351, 0.09216149111798164, 0.03191851362650997, -0.014445934325543254, -0.042500829621932884, -0.044903646764713666, -0.18954825944938633, 0.13866846518980902, 0.2716546733971945, 0.04834442588955511, 0.2450026352564956, -0.41896833059226357, -0.14897234464973905, 0.20249095776789758, 0.127106893428623, -0.03439625855102096, -0.08197673898038649, -0.32959110776049105, 0.16103473448649394, -0.13874747340978924, -0.117628269698904, -0.15376850590109825, 0.05902259430826404, 0.06567826581209205, -0.29515935816303934, 0.06496491430931031, 0.15141483807806358, 0.05789158891799838, -0.16943951349618824, -0.06596851999719822, 0.0426528794084524, 0.11196117147500086, -0.06034829736102459, 0.0038429129933721796, 0.07009265269694287, 3.809900412899117e-05, -0.09886053884618504, 0.36242012653586475, -0.0026359263331044553, -0.28033505094259287, 0.23319721487783934, -0.21445111230795466, -0.20748083517605134, 0.033334096861180176, 0.15798503812402487, 0.17104230618624147, -0.08607273234790841, 0.1595392652413656, -0.0638561140052801, 0.07190123822020236, 0.1065654325688821, 0.11003567832846974, 0.0383416892484177, 0.07280389112312087, 0.2450057524472995, 0.15092444521453513, 0.041258047388996494, 0.05508994760511573, -0.36883698958297106, -0.19106526386945746, -0.16338238481237272, 0.09002649125664733, -0.04546005089244762, -0.15718937833078725, 0.4024117830707583, 0.15230679969427846, 0.15116288690546223, 0.12683777971366464, 0.22261214485868466, 0.09390884636614341, 0.055365106350807256, 0.0895720086342027, 0.11207819386482845, 0.24919979062018005, 0.06355171986357418, -0.07947797802558472, -0.06675319963806244, 0.21644836466023049] |
1,803.02414 | A gradient method in a Hilbert space with an optimized inner product:
achieving a Newton-like convergence | In this paper we introduce a new gradient method which attains quadratic
convergence in a certain sense. Applicable to infinite-dimensional
unconstrained minimization problems posed in a Hilbert space $H$, the approach
consists in finding the energy gradient $g(\lambda)$ defined with respect to an
optimal inner product selected from an infinite family of equivalent inner
products $(\cdot,\cdot)_\lambda$ in the space $H$. The inner products are
parameterized by a space-dependent weight function $\lambda$. At each iteration
of the method, where an approximation to the minimizer is given by an element
$u\in H$, an optimal weight $\hlambda$ is found as a solution of a nonlinear
minimization problem in the space of weights $\Lambda$. It turns out that the
projection of $\kappa g(\hlambda)$, where $0<\kappa \ll 1$ is a fixed step
size, onto a certain finite-dimensional subspace generated by the method is
consistent with Newton's step $h$, in the sense that $P_u(\kappa
g(\hlambda))=P_u(h)$, where $P_u$ is an operator describing the projection onto
the subspace. As demonstrated by rigorous analysis, this property ensures that
thus constructed gradient method attains quadratic convergence for error
components contained in these subspaces, in addition to the linear convergence
typical of the standard gradient method. We propose a numerical implementation
of this new approach and analyze its complexity. Computational results obtained
based on a simple model problem confirm the theoretically established
convergence properties, demonstrating that the proposed approach performs much
better than the standard steepest-descent method based on Sobolev gradients.
The presented results offer an explanation of a number of earlier empirical
observations concerning the convergence of Sobolev-gradient methods.
| math.NA | in this paper we introduce a new gradient method which attains quadratic convergence in a certain sense applicable to infinitedimensional unconstrained minimization problems posed in a hilbert space h the approach consists in finding the energy gradient glambda defined with respect to an optimal inner product selected from an infinite family of equivalent inner products cdotcdot_lambda in the space h the inner products are parameterized by a spacedependent weight function lambda at each iteration of the method where an approximation to the minimizer is given by an element uin h an optimal weight hlambda is found as a solution of a nonlinear minimization problem in the space of weights lambda it turns out that the projection of kappa ghlambda where 0kappa ll 1 is a fixed step size onto a certain finitedimensional subspace generated by the method is consistent with newtons step h in the sense that p_ukappa ghlambdap_uh where p_u is an operator describing the projection onto the subspace as demonstrated by rigorous analysis this property ensures that thus constructed gradient method attains quadratic convergence for error components contained in these subspaces in addition to the linear convergence typical of the standard gradient method we propose a numerical implementation of this new approach and analyze its complexity computational results obtained based on a simple model problem confirm the theoretically established convergence properties demonstrating that the proposed approach performs much better than the standard steepestdescent method based on sobolev gradients the presented results offer an explanation of a number of earlier empirical observations concerning the convergence of sobolevgradient methods | [['in', 'this', 'paper', 'we', 'introduce', 'a', 'new', 'gradient', 'method', 'which', 'attains', 'quadratic', 'convergence', 'in', 'a', 'certain', 'sense', 'applicable', 'to', 'infinitedimensional', 'unconstrained', 'minimization', 'problems', 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1,803.02415 | Almost Sure Uniqueness of a Global Minimum Without Convexity | This paper establishes the argmin of a random objective function to be unique
almost surely. This paper first formulates a general result that proves almost
sure uniqueness without convexity of the objective function. The general result
is then applied to a variety of applications in statistics. Four applications
are discussed, including uniqueness of M-estimators, both classical likelihood
and penalized likelihood estimators, and two applications of the argmin
theorem, threshold regression and weak identification.
| econ.EM math.ST stat.TH | this paper establishes the argmin of a random objective function to be unique almost surely this paper first formulates a general result that proves almost sure uniqueness without convexity of the objective function the general result is then applied to a variety of applications in statistics four applications are discussed including uniqueness of mestimators both classical likelihood and penalized likelihood estimators and two applications of the argmin theorem threshold regression and weak identification | [['this', 'paper', 'establishes', 'the', 'argmin', 'of', 'a', 'random', 'objective', 'function', 'to', 'be', 'unique', 'almost', 'surely', 'this', 'paper', 'first', 'formulates', 'a', 'general', 'result', 'that', 'proves', 'almost', 'sure', 'uniqueness', 'without', 'convexity', 'of', 'the', 'objective', 'function', 'the', 'general', 'result', 'is', 'then', 'applied', 'to', 'a', 'variety', 'of', 'applications', 'in', 'statistics', 'four', 'applications', 'are', 'discussed', 'including', 'uniqueness', 'of', 'mestimators', 'both', 'classical', 'likelihood', 'and', 'penalized', 'likelihood', 'estimators', 'and', 'two', 'applications', 'of', 'the', 'argmin', 'theorem', 'threshold', 'regression', 'and', 'weak', 'identification']] | [-0.09632904819940051, -0.049470713081425186, -0.10148228826128865, 0.12006301314518979, -0.0611484318474078, -0.14430890291648574, 0.03765414880065579, 0.35851736795412353, -0.29489634908123374, -0.23866212739902612, 0.1573757667545778, -0.23534557343243737, -0.20803530017960153, 0.19416343936160818, -0.13451676459804382, 0.16040156700023234, 0.0672039985592949, 0.004223338583458776, -0.08242806280350747, -0.30035800058617934, 0.31493374956644155, -0.017118233343752176, 0.31342323155027546, 0.07538842810445452, 0.11890679380014436, 0.10802066442237733, -0.021270672522791443, 0.025163256934818443, -0.14476637179018015, 0.11589497043304656, 0.2761369417325836, 0.1836238014766921, 0.39008586629204556, -0.2727681849126334, -0.15951350663010389, 0.19673482472816967, 0.09898905139033722, 0.03757358255655798, -0.03386918075816476, -0.23227521411002908, 0.10375815595512929, -0.12128698698895639, -0.1761887358144334, -0.0715350666121669, -0.06559765718443548, 0.08300668165751107, -0.37484310434697427, 0.12012136876838256, 0.14663323909937315, 0.044319572029252574, -0.0632688198174822, -0.11627561067970954, 0.042514069471508265, 0.073540837395528, 0.11158288739404756, 0.02000269673968831, 0.08650229394129694, -0.10444578113136431, -0.1193161871641466, 0.3173301927298818, -0.06378087317188309, -0.1942170681304311, 0.1929057018116933, -0.0923958049627812, -0.19464508622042734, 0.0861744647590469, 0.18762753260870502, 0.154517337188686, -0.22752902142014608, 0.10020490653879864, -0.06460167257408675, 0.08589535638887741, 0.08381610729234064, 0.021075639058835804, 0.11932642331780637, 0.1474457129147159, 0.18098464141255372, 0.1759152561537794, -0.01887973545961184, -0.057149609257403304, -0.34264414926531583, -0.16739462213335585, -0.22919871196252842, 0.05944234455061745, -0.12326749868962869, -0.23690763025302186, 0.3960682115173095, 0.16085321324070506, 0.1613828931003809, 0.16287351404763248, 0.2877879194813232, 0.11390859187159637, -0.05556183263710509, 0.04989413435456075, 0.23726241207643323, 0.21103139508719723, 0.06576907420403337, -0.09933212797527444, 0.09994470139276491, 0.0937171295023689] |
1,803.02416 | Examination of the observability of a chiral magnetically-driven
charge-separation difference in collisions of the $\mathrm{^{96}_{44}Ru +\,
^{96}_{44}Ru}$ and $\mathrm{^{96}_{40}Zr +\, ^{96}_{40}Zr}$ isobars at
energies available at RHIC | Anomalous Viscous Fluid Dynamics (AVFD) model calculations for
$\mathrm{^{96}_{44}Ru +\, ^{96}_{44}Ru}$ and $\mathrm{^{96}_{40}Zr +\,
^{96}_{40}Zr}$ collisions ($\sqrt{s_{\rm NN}} = 200$ GeV) are used in concert
with a charge-sensitive correlator, to test its ability to detect and
characterize the charge separation difference expected from the Chiral Magnetic
Effect (CME) in these isobaric collisions. The tests indicate a larger charge
separation for $\mathrm{^{96}_{44}Ru +\, ^{96}_{44}Ru}$ than for
$\mathrm{^{96}_{40}Zr +\, ^{96}_{40}Zr}$ collisions, and a discernible
CME-driven difference of $\sim 10$\% in the presence of realistic non-CME
backgrounds. They also indicate a strategy for evaluating the relative
influence of the background correlations, present for each isobar. These
results suggest that charge separation measurements for these isobaric species
could serve to further constrain unambiguous identification and
characterization of the CME in upcoming measurements at RHIC.
| nucl-ex | anomalous viscous fluid dynamics avfd model calculations for mathrm96_44ru 96_44ru and mathrm96_40zr 96_40zr collisions sqrts_rm nn 200 gev are used in concert with a chargesensitive correlator to test its ability to detect and characterize the charge separation difference expected from the chiral magnetic effect cme in these isobaric collisions the tests indicate a larger charge separation for mathrm96_44ru 96_44ru than for mathrm96_40zr 96_40zr collisions and a discernible cmedriven difference of sim 10 in the presence of realistic noncme backgrounds they also indicate a strategy for evaluating the relative influence of the background correlations present for each isobar these results suggest that charge separation measurements for these isobaric species could serve to further constrain unambiguous identification and characterization of the cme in upcoming measurements at rhic | [['anomalous', 'viscous', 'fluid', 'dynamics', 'avfd', 'model', 'calculations', 'for', 'mathrm96_44ru', '96_44ru', 'and', 'mathrm96_40zr', '96_40zr', 'collisions', 'sqrts_rm', 'nn', '200', 'gev', 'are', 'used', 'in', 'concert', 'with', 'a', 'chargesensitive', 'correlator', 'to', 'test', 'its', 'ability', 'to', 'detect', 'and', 'characterize', 'the', 'charge', 'separation', 'difference', 'expected', 'from', 'the', 'chiral', 'magnetic', 'effect', 'cme', 'in', 'these', 'isobaric', 'collisions', 'the', 'tests', 'indicate', 'a', 'larger', 'charge', 'separation', 'for', 'mathrm96_44ru', '96_44ru', 'than', 'for', 'mathrm96_40zr', '96_40zr', 'collisions', 'and', 'a', 'discernible', 'cmedriven', 'difference', 'of', 'sim', '10', 'in', 'the', 'presence', 'of', 'realistic', 'noncme', 'backgrounds', 'they', 'also', 'indicate', 'a', 'strategy', 'for', 'evaluating', 'the', 'relative', 'influence', 'of', 'the', 'background', 'correlations', 'present', 'for', 'each', 'isobar', 'these', 'results', 'suggest', 'that', 'charge', 'separation', 'measurements', 'for', 'these', 'isobaric', 'species', 'could', 'serve', 'to', 'further', 'constrain', 'unambiguous', 'identification', 'and', 'characterization', 'of', 'the', 'cme', 'in', 'upcoming', 'measurements', 'at', 'rhic']] | [-0.08522535362766771, 0.1828182079167344, -0.12134492288782331, 0.14314892779543134, 0.017088079113082206, -0.11338363439691337, -0.03609571488735782, 0.33964672920194044, -0.16759258729967574, -0.3459737643999748, -0.0034488006571908136, -0.34022338611404757, -0.0038663892244750805, 0.1833548037121688, 0.07084955020291993, 0.027494583824891904, 0.09510489272565605, 0.006866900547607686, -0.08273165757202135, -0.1237844640181269, 0.22643622090801413, 0.10625113404071158, 0.2270888902866551, 0.1385033217543536, 0.05665512285233775, -0.018630456775888676, -0.03850285486849256, 0.008253961709166362, -0.13922532981153132, 0.03477680455957739, 0.2728561655683674, 0.034410611522316156, 0.1461905720797637, -0.41759024277206297, -0.1955730838177741, 0.09490939045001652, 0.14540362031360674, 0.11288326724253456, -0.07961800495886114, -0.27993188095702365, 0.10395961166345052, -0.2117701598812541, -0.1328982674739947, -0.058829591361313195, 0.014970911682144669, 0.03168394115622625, -0.3196714341886773, 0.14880490364013277, 0.015762142504458142, 0.09175072896070846, -0.0868272822983332, -0.16715183604724151, -0.03173471710544603, 0.052087856649059405, 0.04191298725171022, 0.0720310622733856, 0.19565758849532644, -0.11148732030198501, -0.1263240760515544, 0.36320021516096984, -0.029950045523631064, -0.13321673801969275, 0.21505978504534473, -0.18473707940737324, -0.13524638307242354, 0.14846887943635056, 0.2311644211088207, 0.06092830946715164, -0.15679629101641168, -0.0680182243424106, 0.02781992781549415, 0.18097271680858848, 0.08885425028645179, 0.04677736817393452, 0.23054216055907617, 0.15953230412199723, 0.0031818062805932415, 0.07978605342911525, -0.16814037725295244, -0.04788670245527236, -0.3333674763860412, -0.12508519928544481, -0.12256330952879564, 0.020349839910064355, -0.10468101130427085, -0.06711260373280807, 0.3276750414693836, 0.1934911222509801, 0.19114549222502333, -0.017653843355249645, 0.25934561597537403, 0.03605841040757508, 0.06250774876930373, 0.0749247978010392, 0.32106416591458514, 0.15354529894457375, 0.15864297503620878, -0.2957178621191131, 0.05817390226351082, 0.0187196694237511] |
1,803.02417 | Room temperature deposition of superconducting Niobium Nitride films by
ion beam assisted sputtering | We use room temperature ion beam assisted sputtering (IBAS) to deposit
niobium nitride thin films. Electrical and structural characterizations were
performed by electric transport and magnetization measurements at variable
temperatures, X-ray diffraction and atomic force microscopy. Compared to
reactive sputtering of NbN, films sputtered in presence of an ion beam show
remarkable increase in the superconducting critical temperature T$_{\rm{c}}$,
while exhibiting lower sensitivity to nitrogen concentration during deposition.
Thickness dependence of the superconducting critical temperature is comparable
to films prepared by conventional methods at high substrate temperatures and is
consistent with behavior driven by quantum size effects or weak localization.
| cond-mat.supr-con | we use room temperature ion beam assisted sputtering ibas to deposit niobium nitride thin films electrical and structural characterizations were performed by electric transport and magnetization measurements at variable temperatures xray diffraction and atomic force microscopy compared to reactive sputtering of nbn films sputtered in presence of an ion beam show remarkable increase in the superconducting critical temperature t_rmc while exhibiting lower sensitivity to nitrogen concentration during deposition thickness dependence of the superconducting critical temperature is comparable to films prepared by conventional methods at high substrate temperatures and is consistent with behavior driven by quantum size effects or weak localization | [['we', 'use', 'room', 'temperature', 'ion', 'beam', 'assisted', 'sputtering', 'ibas', 'to', 'deposit', 'niobium', 'nitride', 'thin', 'films', 'electrical', 'and', 'structural', 'characterizations', 'were', 'performed', 'by', 'electric', 'transport', 'and', 'magnetization', 'measurements', 'at', 'variable', 'temperatures', 'xray', 'diffraction', 'and', 'atomic', 'force', 'microscopy', 'compared', 'to', 'reactive', 'sputtering', 'of', 'nbn', 'films', 'sputtered', 'in', 'presence', 'of', 'an', 'ion', 'beam', 'show', 'remarkable', 'increase', 'in', 'the', 'superconducting', 'critical', 'temperature', 't_rmc', 'while', 'exhibiting', 'lower', 'sensitivity', 'to', 'nitrogen', 'concentration', 'during', 'deposition', 'thickness', 'dependence', 'of', 'the', 'superconducting', 'critical', 'temperature', 'is', 'comparable', 'to', 'films', 'prepared', 'by', 'conventional', 'methods', 'at', 'high', 'substrate', 'temperatures', 'and', 'is', 'consistent', 'with', 'behavior', 'driven', 'by', 'quantum', 'size', 'effects', 'or', 'weak', 'localization']] | [-0.07489494448527693, 0.2822959412321506, -0.0059179853275418285, -0.08028492202749477, 0.029269128012820146, -0.20085112502798438, 0.09887050742923748, 0.48367164984345434, -0.23140310306102038, -0.3364944994356483, 0.008121293194126338, -0.3770656671375036, 0.047518772080074996, 0.2533896312559955, 0.010179327819496393, 0.11824279194697737, -0.06742351585999132, -0.15280117856455036, -0.10741075869649648, -0.1970329908747226, 0.23735417722258717, 0.15473985909833574, 0.4299358676094562, 0.1443593099946156, 0.06360958220204338, -0.03886382261756807, 0.16565269116312265, 0.06483197601512075, -0.1905185250006616, -0.019590890686959028, 0.24787863936275245, -0.169263005098328, 0.1583023119997233, -0.5352117346343584, -0.2669960732106119, -0.03128540317993611, 0.11149988289456815, 0.09627909198636189, -0.12975898445234635, -0.19577924273675307, 0.05634787615388632, -0.07750213958323002, -0.1225910766760353, -0.08276656795525923, -0.048106755148619416, 0.03522930985956919, -0.2507510509976419, 0.09087005091831088, 0.025998893634532578, 0.19967119803652167, -0.09615332590881735, -0.12562498641666026, -0.08800919177709148, -0.040229688186664135, 0.010386476148851216, 0.04041317483177408, 0.3471719691017643, -0.08909496542531997, -0.048408740339800714, 0.2520054857619107, -0.0713173661287874, 0.018171187080442904, 0.19986147579737007, -0.2270079504745081, -0.016626492268405856, 0.23544360391329974, 0.10211073088459671, 0.10614776434842497, -0.18987504033837468, -0.014808089651633055, 0.09667908960953354, 0.25997618676316053, 0.2021348371822387, 0.07071744056418539, 0.2059388221486006, 0.2676966510352213, 0.024494795684004204, 0.19000598627637375, -0.1436949733644724, 0.05232433716766536, -0.1427498130593449, -0.1533420752454549, -0.17797233108896762, 0.0815802962705493, -0.08840144640707877, -0.1761725469492376, 0.3084533579973504, 0.157860939046368, 0.1321784111391753, -0.09913302383385598, 0.2997110802109819, 0.0831651658739429, 0.05766088283387944, -0.00839467871002853, 0.24706678990274666, 0.2119591094274074, 0.19306953094914206, -0.3102586887544021, 0.1741775237210095, -0.020046914014965295] |
1,803.02418 | Anisotropic swim stress in active matter with nematic order | Active Brownian Particles (ABPs) transmit a swim pressure $\Pi^{swim}=n\zeta
D^{swim}$ to the container boundaries, where $\zeta$ is the drag coefficient,
$D^{swim}$ is the swim diffusivity and $n$ is the uniform bulk number density
far from the container walls. In this work we extend the notion of the
isotropic swim pressure to the anisotropic tensorial swim stress
$\mathbf{\sigma}^{swim} = - n \zeta \mathbf{D}^{swim}$, which is related to the
anisotropic swim diffusivity $\mathbf{D}^{swim}$. We demonstrate this
relationship with ABPs that achieve nematic orientational order via a bulk
external field. The anisotropic swim stress is obtained analytically for dilute
ABPs in both 2D and 3D systems, and the anisotropy is shown to grow
exponentially with the strength of the external field. We verify that the
normal component of the anisotropic swim stress applies a pressure
$\Pi^{swim}=-(\mathbf{\sigma}^{swim}\cdot\mathbf{n})\cdot\mathbf{n}$ on a wall
with normal vector $\mathbf{n}$, and, through Brownian dynamics simulations,
this pressure is shown to be the force per unit area transmitted by the active
particles. Since ABPs have no friction with a wall, the difference between the
normal and tangential stress components -- the normal stress difference --
generates a net flow of ABPs along the wall, which is a generic property of
active matter systems.
| cond-mat.soft | active brownian particles abps transmit a swim pressure piswimnzeta dswim to the container boundaries where zeta is the drag coefficient dswim is the swim diffusivity and n is the uniform bulk number density far from the container walls in this work we extend the notion of the isotropic swim pressure to the anisotropic tensorial swim stress mathbfsigmaswim n zeta mathbfdswim which is related to the anisotropic swim diffusivity mathbfdswim we demonstrate this relationship with abps that achieve nematic orientational order via a bulk external field the anisotropic swim stress is obtained analytically for dilute abps in both 2d and 3d systems and the anisotropy is shown to grow exponentially with the strength of the external field we verify that the normal component of the anisotropic swim stress applies a pressure piswimmathbfsigmaswimcdotmathbfncdotmathbfn on a wall with normal vector mathbfn and through brownian dynamics simulations this pressure is shown to be the force per unit area transmitted by the active particles since abps have no friction with a wall the difference between the normal and tangential stress components the normal stress difference generates a net flow of abps along the wall which is a generic property of active matter systems | [['active', 'brownian', 'particles', 'abps', 'transmit', 'a', 'swim', 'pressure', 'piswimnzeta', 'dswim', 'to', 'the', 'container', 'boundaries', 'where', 'zeta', 'is', 'the', 'drag', 'coefficient', 'dswim', 'is', 'the', 'swim', 'diffusivity', 'and', 'n', 'is', 'the', 'uniform', 'bulk', 'number', 'density', 'far', 'from', 'the', 'container', 'walls', 'in', 'this', 'work', 'we', 'extend', 'the', 'notion', 'of', 'the', 'isotropic', 'swim', 'pressure', 'to', 'the', 'anisotropic', 'tensorial', 'swim', 'stress', 'mathbfsigmaswim', 'n', 'zeta', 'mathbfdswim', 'which', 'is', 'related', 'to', 'the', 'anisotropic', 'swim', 'diffusivity', 'mathbfdswim', 'we', 'demonstrate', 'this', 'relationship', 'with', 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1,803.02419 | A multi-instrument and multi-wavelength high angular resolution study of
MWC614: quantum heated particles inside the disk cavity | High angular resolution observations of young stellar objects are required to
study the inner astronomical units of protoplanetary disks in which the
majority of planets form. As they evolve, gaps open up in the inner disk
regions and the disks are fully dispersed within ~10 Myrs. MWC 614 is a
pre-transitional object with a ~10au radius gap. We present a set of high
angular resolution observations of this object including SPHERE/ZIMPOL
polarimetric and coronagraphic images in the visible, KECK/NIRC2 near-infrared
aperture masking observations and VLTI (AMBER, MIDI, and PIONIER) and CHARA
(CLASSIC and CLIMB) long-baseline interferometry at infrared wavelengths. We
find that all the observations are compatible with an inclined disk (i ~55deg
at a position angle of ~20-30deg). The mid-infrared dataset confirms the disk
inner rim to be at 12.3+/-0.4 au from the central star. We determined an upper
mass limit of 0.34 Msun for a companion inside the cavity. Within the cavity,
the near-infrared emission, usually associated with the dust sublimation
region, is unusually extended (~10 au, 30 times larger than the theoretical
sublimation radius) and indicates a high dust temperature (T~1800 K). As a
possible result of companion-induced dust segregation, quantum heated dust
grains could explain the extended near-infrared emission with this high
temperature. Our observations confirm the peculiar state of this object where
the inner disk has already been accreted onto the star exposing small particles
inside the cavity to direct stellar radiation.
| astro-ph.SR | high angular resolution observations of young stellar objects are required to study the inner astronomical units of protoplanetary disks in which the majority of planets form as they evolve gaps open up in the inner disk regions and the disks are fully dispersed within 10 myrs mwc 614 is a pretransitional object with a 10au radius gap we present a set of high angular resolution observations of this object including spherezimpol polarimetric and coronagraphic images in the visible kecknirc2 nearinfrared aperture masking observations and vlti amber midi and pionier and chara classic and climb longbaseline interferometry at infrared wavelengths we find that all the observations are compatible with an inclined disk i 55deg at a position angle of 2030deg the midinfrared dataset confirms the disk inner rim to be at 12304 au from the central star we determined an upper mass limit of 034 msun for a companion inside the cavity within the cavity the nearinfrared emission usually associated with the dust sublimation region is unusually extended 10 au 30 times larger than the theoretical sublimation radius and indicates a high dust temperature t1800 k as a possible result of companioninduced dust segregation quantum heated dust grains could explain the extended nearinfrared emission with this high temperature our observations confirm the peculiar state of this object where the inner disk has already been accreted onto the star exposing small particles inside the cavity to direct stellar radiation | [['high', 'angular', 'resolution', 'observations', 'of', 'young', 'stellar', 'objects', 'are', 'required', 'to', 'study', 'the', 'inner', 'astronomical', 'units', 'of', 'protoplanetary', 'disks', 'in', 'which', 'the', 'majority', 'of', 'planets', 'form', 'as', 'they', 'evolve', 'gaps', 'open', 'up', 'in', 'the', 'inner', 'disk', 'regions', 'and', 'the', 'disks', 'are', 'fully', 'dispersed', 'within', '10', 'myrs', 'mwc', '614', 'is', 'a', 'pretransitional', 'object', 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1,803.0242 | Classification of Groups according to the number of end vertices in the
coprime graph | In this paper we characterize groups according to the number of end vertices
in the associated coprime graphs. An upper bound on the order of the group that
depends on the number of end vertices is obtained. We also prove that
$2-$groups are the only groups whose coprime graphs have odd number of end
vertices. Classifications of groups with small number of end vertices in the
coprime graphs are given. One of the results shows that $\mathbb{Z}_4$ and
$\mathbb{Z}_2\times \mathbb{Z}_2$ are the only groups whose coprime graph has
exactly three end vertices.
| math.GR | in this paper we characterize groups according to the number of end vertices in the associated coprime graphs an upper bound on the order of the group that depends on the number of end vertices is obtained we also prove that 2groups are the only groups whose coprime graphs have odd number of end vertices classifications of groups with small number of end vertices in the coprime graphs are given one of the results shows that mathbbz_4 and mathbbz_2times mathbbz_2 are the only groups whose coprime graph has exactly three end vertices | [['in', 'this', 'paper', 'we', 'characterize', 'groups', 'according', 'to', 'the', 'number', 'of', 'end', 'vertices', 'in', 'the', 'associated', 'coprime', 'graphs', 'an', 'upper', 'bound', 'on', 'the', 'order', 'of', 'the', 'group', 'that', 'depends', 'on', 'the', 'number', 'of', 'end', 'vertices', 'is', 'obtained', 'we', 'also', 'prove', 'that', '2groups', 'are', 'the', 'only', 'groups', 'whose', 'coprime', 'graphs', 'have', 'odd', 'number', 'of', 'end', 'vertices', 'classifications', 'of', 'groups', 'with', 'small', 'number', 'of', 'end', 'vertices', 'in', 'the', 'coprime', 'graphs', 'are', 'given', 'one', 'of', 'the', 'results', 'shows', 'that', 'mathbbz_4', 'and', 'mathbbz_2times', 'mathbbz_2', 'are', 'the', 'only', 'groups', 'whose', 'coprime', 'graph', 'has', 'exactly', 'three', 'end', 'vertices']] | [-0.23753455680106644, 0.17038136742058155, -0.03884032041178611, -0.0005635166662218778, -0.09179325458978344, -0.13703175569358078, 0.028516954963814223, 0.3856265922785615, -0.2127004955571307, -0.3376609560345178, 0.08617514904472046, -0.34696205948357994, -0.15543188992887735, 0.11182355506183661, -0.10111306299981863, -0.04735447248727407, 0.0578195146365982, 0.18918698113006743, -0.01698127829560848, -0.3654163156844215, 0.3742070287344572, -0.06816525234962287, 0.18403066535804258, 0.020401186410985563, 0.05779178794372179, -0.01925923561414137, -0.03699315564059045, 0.037758442974929654, -0.13130176189707013, 0.08594872508926885, 0.2488645156238066, 0.04561187604027193, 0.2264039701498721, -0.41532769096691324, -0.09178461080781468, 0.2530421466445145, 0.15753013900552026, 0.03547742391895989, -0.005400678998304774, -0.21137616766171288, 0.1656399250648025, -0.15828805575754656, -0.07667366310994586, 0.01611688677423998, 0.06033681001028289, 0.055870667565613985, -0.20500714454354477, -0.04372240650833271, 0.04497746252657279, 0.07432734745310407, 0.03827618632931262, -0.18511835164289273, -0.0646463094997908, 0.15633755759336054, 0.0105397682105515, -0.013876087325827582, 0.008785102769489522, -0.11171205329668263, -0.16406227447821395, 0.348271276153948, 0.006983741737001211, -0.1755357702748607, 0.1511586224154124, -0.18740055424100516, -0.23462530008375482, 0.16325223150298648, 0.15705778269583118, 0.15794812769467093, -0.0622574906371048, 0.12378288182852608, -0.14283310156821719, 0.12192993663737307, 0.10212274764806194, 0.031855677760651575, 0.11301068186193057, 0.0895731054023718, 0.11714819400905348, 0.17747014201418293, 0.028825948687406944, 0.03977830739408408, -0.3224732180672657, -0.12926269021788714, -0.2376260116377481, 0.02797421374682175, -0.16401346744042594, -0.14331641438943538, 0.45031989916511206, 0.13279653442821102, 0.20851804123705495, 0.14445180156389656, 0.186449753323003, 0.04212698508458941, 0.057343013048091016, 0.13205977915545783, 0.13675308936154065, 0.19015911264021113, -0.1225913439006747, -0.15733004012651255, 0.002536487930110129, 0.17733588108398102] |
1,803.02421 | Masked Conditional Neural Networks for Audio Classification | We present the ConditionaL Neural Network (CLNN) and the Masked ConditionaL
Neural Network (MCLNN) designed for temporal signal recognition. The CLNN takes
into consideration the temporal nature of the sound signal and the MCLNN
extends upon the CLNN through a binary mask to preserve the spatial locality of
the features and allows an automated exploration of the features combination
analogous to hand-crafting the most relevant features for the recognition task.
MCLNN has achieved competitive recognition accuracies on the GTZAN and the
ISMIR2004 music datasets that surpass several state-of-the-art neural network
based architectures and hand-crafted methods applied on both datasets.
| stat.ML cs.LG cs.SD eess.AS | we present the conditional neural network clnn and the masked conditional neural network mclnn designed for temporal signal recognition the clnn takes into consideration the temporal nature of the sound signal and the mclnn extends upon the clnn through a binary mask to preserve the spatial locality of the features and allows an automated exploration of the features combination analogous to handcrafting the most relevant features for the recognition task mclnn has achieved competitive recognition accuracies on the gtzan and the ismir2004 music datasets that surpass several stateoftheart neural network based architectures and handcrafted methods applied on both datasets | [['we', 'present', 'the', 'conditional', 'neural', 'network', 'clnn', 'and', 'the', 'masked', 'conditional', 'neural', 'network', 'mclnn', 'designed', 'for', 'temporal', 'signal', 'recognition', 'the', 'clnn', 'takes', 'into', 'consideration', 'the', 'temporal', 'nature', 'of', 'the', 'sound', 'signal', 'and', 'the', 'mclnn', 'extends', 'upon', 'the', 'clnn', 'through', 'a', 'binary', 'mask', 'to', 'preserve', 'the', 'spatial', 'locality', 'of', 'the', 'features', 'and', 'allows', 'an', 'automated', 'exploration', 'of', 'the', 'features', 'combination', 'analogous', 'to', 'handcrafting', 'the', 'most', 'relevant', 'features', 'for', 'the', 'recognition', 'task', 'mclnn', 'has', 'achieved', 'competitive', 'recognition', 'accuracies', 'on', 'the', 'gtzan', 'and', 'the', 'ismir2004', 'music', 'datasets', 'that', 'surpass', 'several', 'stateoftheart', 'neural', 'network', 'based', 'architectures', 'and', 'handcrafted', 'methods', 'applied', 'on', 'both', 'datasets']] | [-0.06166622716261131, -0.04109398113924188, -0.0715232659701486, 0.07095643286878357, -0.11468724175641427, -0.15628972334540164, -0.007892983663846187, 0.4390483860078515, -0.25311129700454255, -0.2909836215537269, 0.08406277191682662, -0.2592956837056126, -0.2073537701056624, 0.19671840910153576, -0.10382665877173446, 0.13782526523038763, 0.1306529773437247, 0.07272014265870486, -0.06971659475927983, -0.263847049534777, 0.2822678923910978, 0.07876048133024299, 0.42026618599169413, 0.009435365244993294, 0.18942262704142046, 0.0003477735730002121, -0.05333161189657997, -0.03624633396856905, -0.013631966559062545, 0.18467402533920274, 0.2568425375550073, 0.2318982455715518, 0.2881365518028639, -0.42255942147149117, -0.26038675628631014, 0.07941447971008565, 0.11979535522001168, 0.10194962381471984, 0.028236302715840236, -0.4367172531272779, 0.0662905246884163, -0.1286103797088168, 0.12552978784054974, -0.17092887897576606, -0.03469021120007692, -0.015345355597970893, -0.2800743362049059, 0.029369346697681716, 0.17365179634748065, 0.07244533546535033, -0.04673727230722446, -0.12409501527055945, 0.009622433412896127, 0.1938262069170192, -0.021170674715124602, 0.05599407433551185, 0.13830856091761012, -0.23355232134499415, -0.1471019266743441, 0.344025489151934, -0.10280641762311665, -0.19096289090432075, 0.1965415797942337, 0.0014451452345606319, -0.17679379093555772, 0.10178932826966047, 0.26084421954250764, 0.08452994858237858, -0.14469813761700476, -0.010590894435822241, -0.004494065860742513, 0.2508494680086911, 0.0634072163826501, 0.031142033627066686, 0.19410243440343408, 0.2960678675896203, -0.007410521803742123, 0.151084481909567, -0.21813130259041066, -0.03882061361278198, -0.15447324323372877, -0.031185478803457286, -0.18177784579254838, -0.07910749634100618, -0.1501835519107883, -0.1251802575722223, 0.46846779397859867, 0.2631757659552505, 0.19143889531759278, 0.13473630032492612, 0.353264239711725, 0.02349539720263256, 0.1801598479173013, 0.06920881787901839, 0.2014674160413311, 0.028225034547789137, 0.15144500779510683, -0.19422418960579196, 0.12788789673727385, 0.0771650659367062] |
1,803.02422 | Towards Quantifying Sampling Bias in Network Inference | Relational inference leverages relationships between entities and links in a
network to infer information about the network from a small sample. This method
is often used when global information about the network is not available or
difficult to obtain. However, how reliable is inference from a small labelled
sample? How should the network be sampled, and what effect does it have on
inference error? How does the structure of the network impact the sampling
strategy? We address these questions by systematically examining how network
sampling strategy and sample size affect accuracy of relational inference in
networks. To this end, we generate a family of synthetic networks where nodes
have a binary attribute and a tunable level of homophily. As expected, we find
that in heterophilic networks, we can obtain good accuracy when only small
samples of the network are initially labelled, regardless of the sampling
strategy. Surprisingly, this is not the case for homophilic networks, and
sampling strategies that work well in heterophilic networks lead to large
inference errors. These findings suggest that the impact of network structure
on relational classification is more complex than previously thought.
| cs.SI physics.soc-ph | relational inference leverages relationships between entities and links in a network to infer information about the network from a small sample this method is often used when global information about the network is not available or difficult to obtain however how reliable is inference from a small labelled sample how should the network be sampled and what effect does it have on inference error how does the structure of the network impact the sampling strategy we address these questions by systematically examining how network sampling strategy and sample size affect accuracy of relational inference in networks to this end we generate a family of synthetic networks where nodes have a binary attribute and a tunable level of homophily as expected we find that in heterophilic networks we can obtain good accuracy when only small samples of the network are initially labelled regardless of the sampling strategy surprisingly this is not the case for homophilic networks and sampling strategies that work well in heterophilic networks lead to large inference errors these findings suggest that the impact of network structure on relational classification is more complex than previously thought | [['relational', 'inference', 'leverages', 'relationships', 'between', 'entities', 'and', 'links', 'in', 'a', 'network', 'to', 'infer', 'information', 'about', 'the', 'network', 'from', 'a', 'small', 'sample', 'this', 'method', 'is', 'often', 'used', 'when', 'global', 'information', 'about', 'the', 'network', 'is', 'not', 'available', 'or', 'difficult', 'to', 'obtain', 'however', 'how', 'reliable', 'is', 'inference', 'from', 'a', 'small', 'labelled', 'sample', 'how', 'should', 'the', 'network', 'be', 'sampled', 'and', 'what', 'effect', 'does', 'it', 'have', 'on', 'inference', 'error', 'how', 'does', 'the', 'structure', 'of', 'the', 'network', 'impact', 'the', 'sampling', 'strategy', 'we', 'address', 'these', 'questions', 'by', 'systematically', 'examining', 'how', 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1,803.02423 | Matched Filters for Noisy Induced Subgraph Detection | The problem of finding the vertex correspondence between two noisy graphs
with different number of vertices where the smaller graph is still large has
many applications in social networks, neuroscience, and computer vision. We
propose a solution to this problem via a graph matching matched filter:
centering and padding the smaller adjacency matrix and applying graph matching
methods to align it to the larger network. The centering and padding schemes
can be incorporated into any algorithm that matches using adjacency matrices.
Under a statistical model for correlated pairs of graphs, which yields a noisy
copy of the small graph within the larger graph, the resulting optimization
problem can be guaranteed to recover the true vertex correspondence between the
networks.
However, there are currently no efficient algorithms for solving this
problem. To illustrate the possibilities and challenges of such problems, we
use an algorithm that can exploit a partially known correspondence and show via
varied simulations and applications to {\it Drosophila} and human connectomes
that this approach can achieve good performance.
| stat.ML cs.DS | the problem of finding the vertex correspondence between two noisy graphs with different number of vertices where the smaller graph is still large has many applications in social networks neuroscience and computer vision we propose a solution to this problem via a graph matching matched filter centering and padding the smaller adjacency matrix and applying graph matching methods to align it to the larger network the centering and padding schemes can be incorporated into any algorithm that matches using adjacency matrices under a statistical model for correlated pairs of graphs which yields a noisy copy of the small graph within the larger graph the resulting optimization problem can be guaranteed to recover the true vertex correspondence between the networks however there are currently no efficient algorithms for solving this problem to illustrate the possibilities and challenges of such problems we use an algorithm that can exploit a partially known correspondence and show via varied simulations and applications to it drosophila and human connectomes that this approach can achieve good performance | [['the', 'problem', 'of', 'finding', 'the', 'vertex', 'correspondence', 'between', 'two', 'noisy', 'graphs', 'with', 'different', 'number', 'of', 'vertices', 'where', 'the', 'smaller', 'graph', 'is', 'still', 'large', 'has', 'many', 'applications', 'in', 'social', 'networks', 'neuroscience', 'and', 'computer', 'vision', 'we', 'propose', 'a', 'solution', 'to', 'this', 'problem', 'via', 'a', 'graph', 'matching', 'matched', 'filter', 'centering', 'and', 'padding', 'the', 'smaller', 'adjacency', 'matrix', 'and', 'applying', 'graph', 'matching', 'methods', 'to', 'align', 'it', 'to', 'the', 'larger', 'network', 'the', 'centering', 'and', 'padding', 'schemes', 'can', 'be', 'incorporated', 'into', 'any', 'algorithm', 'that', 'matches', 'using', 'adjacency', 'matrices', 'under', 'a', 'statistical', 'model', 'for', 'correlated', 'pairs', 'of', 'graphs', 'which', 'yields', 'a', 'noisy', 'copy', 'of', 'the', 'small', 'graph', 'within', 'the', 'larger', 'graph', 'the', 'resulting', 'optimization', 'problem', 'can', 'be', 'guaranteed', 'to', 'recover', 'the', 'true', 'vertex', 'correspondence', 'between', 'the', 'networks', 'however', 'there', 'are', 'currently', 'no', 'efficient', 'algorithms', 'for', 'solving', 'this', 'problem', 'to', 'illustrate', 'the', 'possibilities', 'and', 'challenges', 'of', 'such', 'problems', 'we', 'use', 'an', 'algorithm', 'that', 'can', 'exploit', 'a', 'partially', 'known', 'correspondence', 'and', 'show', 'via', 'varied', 'simulations', 'and', 'applications', 'to', 'it', 'drosophila', 'and', 'human', 'connectomes', 'that', 'this', 'approach', 'can', 'achieve', 'good', 'performance']] | [-0.08048826984732467, 0.03163600001451628, -0.05069509910981116, 0.07971967226579128, -0.10084284742034096, -0.16580501934890088, 0.02836930709754062, 0.4404895111863666, -0.32358294845942187, -0.3517848932376022, 0.1063606898594812, -0.27317091222195067, -0.22806883209439763, 0.16056325336343005, -0.11928347170435111, 0.07334592623280033, 0.1595180436859236, 0.04870327292558025, -0.04875640705748297, -0.24520757010031957, 0.27166032868656603, 0.005161146410083508, 0.2739353133365512, 0.05090723505948999, 0.12009648101349525, 0.010569231310749756, -0.0011156637796803433, 0.0854275690330028, -0.09014677984074189, 0.14517167769543662, 0.2988147650201641, 0.2034449697855641, 0.29724452266579166, -0.43293445979190226, -0.18864380448152696, 0.2060609737637124, 0.1668998619692181, 0.12990700339501285, -0.02125111863236217, -0.26965297927210274, 0.14949003235601327, -0.11998241923831622, -0.01678624556892935, -0.055712630121749554, -0.010387840152115507, -0.026394636231228053, -0.3156514585018158, 0.014252144107869005, 0.022554649824879185, 0.0019649853162905747, 0.03490513586302233, -0.1091888426529134, 0.016693866428206947, 0.17632596641847426, 0.0036081759074209807, 0.05309772547334433, 0.09514519532539827, -0.14154570540002384, -0.16352229959276668, 0.3843112800489454, 0.011931530906654456, -0.20140073753290755, 0.1754209851325654, -0.05603249374886646, -0.15106295910047587, 0.10691125408253249, 0.16827461150310496, 0.10295462167876608, -0.1546034408678465, 0.06296677968245656, -0.07971081732060104, 0.17063244665589403, 0.07541611476130236, -0.0003419778316610438, 0.1431925075375201, 0.16915926816188456, 0.12399546841727843, 0.15293369424351327, -0.017427164154565508, -0.069170452193494, -0.20947484938729116, -0.07694888797533862, -0.24714885145864066, -0.022590470474268147, -0.18131853113813765, -0.1750732103088761, 0.39736745877958396, 0.18785127420115338, 0.21604292507228606, 0.08770416714867357, 0.30453027003609084, 0.08357288629528792, 0.0957699534976307, 0.13047511588425978, 0.15888665658284856, 0.13397525006987374, 0.0514267295215498, -0.1816448481835644, 0.07050347391358468, 0.07022610189091852] |
1,803.02424 | Universal image systems for non-periodic and periodic Stokes flows above
a no-slip wall | It is well-known that by placing judiciously chosen image point forces and
doublets to the Stokeslet above a flat wall, the no-slip boundary condition can
be conveniently imposed on the wall [Blake, J. R. Math. Proc. Camb. Philos.
Soc. 70(2), 1971: 303.]. However, to further impose periodic boundary
conditions on directions parallel to the wall usually involves tedious
derivations because single or double periodicity in Stokes flow may require the
periodic unit to have no net force, which is not satisfied by the well-known
image system. In this work we present a force-neutral image system. This
neutrality allows us to represent the Stokes image system in a universal
formulation for non-periodic, singly periodic and doubly periodic geometries.
This formulation enables the black-box style usage of fast kernel summation
methods. We demonstrate the efficiency and accuracy of this new image method
with the periodic kernel independent fast multipole method in both non-periodic
and doubly periodic geometries. We then extend this new image system to other
widely used Stokes fundamental solutions, including the Laplacian of the
Stokeslet and the Rotne-Prager-Yamakawa tensor.
| math.NA physics.flu-dyn | it is wellknown that by placing judiciously chosen image point forces and doublets to the stokeslet above a flat wall the noslip boundary condition can be conveniently imposed on the wall blake j r math proc camb philos soc 702 1971 303 however to further impose periodic boundary conditions on directions parallel to the wall usually involves tedious derivations because single or double periodicity in stokes flow may require the periodic unit to have no net force which is not satisfied by the wellknown image system in this work we present a forceneutral image system this neutrality allows us to represent the stokes image system in a universal formulation for nonperiodic singly periodic and doubly periodic geometries this formulation enables the blackbox style usage of fast kernel summation methods we demonstrate the efficiency and accuracy of this new image method with the periodic kernel independent fast multipole method in both nonperiodic and doubly periodic geometries we then extend this new image system to other widely used stokes fundamental solutions including the laplacian of the stokeslet and the rotneprageryamakawa tensor | [['it', 'is', 'wellknown', 'that', 'by', 'placing', 'judiciously', 'chosen', 'image', 'point', 'forces', 'and', 'doublets', 'to', 'the', 'stokeslet', 'above', 'a', 'flat', 'wall', 'the', 'noslip', 'boundary', 'condition', 'can', 'be', 'conveniently', 'imposed', 'on', 'the', 'wall', 'blake', 'j', 'r', 'math', 'proc', 'camb', 'philos', 'soc', '702', '1971', '303', 'however', 'to', 'further', 'impose', 'periodic', 'boundary', 'conditions', 'on', 'directions', 'parallel', 'to', 'the', 'wall', 'usually', 'involves', 'tedious', 'derivations', 'because', 'single', 'or', 'double', 'periodicity', 'in', 'stokes', 'flow', 'may', 'require', 'the', 'periodic', 'unit', 'to', 'have', 'no', 'net', 'force', 'which', 'is', 'not', 'satisfied', 'by', 'the', 'wellknown', 'image', 'system', 'in', 'this', 'work', 'we', 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1,803.02425 | Product SCFTs for the $E_7$ Theory | We present a simple criterion for when an N=2 SCFT must be a product SCFT.
Applied to the class-S theories of type $E_7$, we find 29 (out of 11,000)
3-punctured spheres which are product SCFTs.
| hep-th | we present a simple criterion for when an n2 scft must be a product scft applied to the classs theories of type e_7 we find 29 out of 11000 3punctured spheres which are product scfts | [['we', 'present', 'a', 'simple', 'criterion', 'for', 'when', 'an', 'n2', 'scft', 'must', 'be', 'a', 'product', 'scft', 'applied', 'to', 'the', 'classs', 'theories', 'of', 'type', 'e_7', 'we', 'find', '29', 'out', 'of', '11000', '3punctured', 'spheres', 'which', 'are', 'product', 'scfts']] | [-0.10271978878549166, 0.10855613222187717, -0.06391869437481676, 0.05210172810724804, -0.0253581409342587, -0.19091693173561777, 0.006985766833115901, 0.36607462944728986, -0.1558320796649371, -0.2671356536980186, 0.12550833245207157, -0.2796583794057369, -0.16853222698305867, 0.09907328209706716, -0.06251679733395576, -0.06444054091615337, 0.004327786101826599, 0.0770660115206348, -0.1460556865802833, -0.36504165386515003, 0.3034035749733448, -0.07226116369877543, 0.21820588284837347, 0.020783887218151775, 0.041551309264988436, -0.05365162320168955, 0.042619233591748136, 0.036103066269840514, -0.1655153461332832, 0.10627576632292143, 0.2965053511783481, 0.12411495848957982, 0.13923505118915014, -0.4450331847582545, -0.16748644938426357, 0.12711026700479644, 0.24031140342620866, 0.062313728310566925, 0.011515617024685655, -0.18324536494910718, 0.08718639387349997, -0.25721444487571715, -0.1369235777562218, -0.07594737495694842, 0.04067163195993219, -0.11743276233651809, -0.31032861050750526, 0.02729186473547348, -0.07065601434026446, 0.160435470991901, -0.07259790504218212, -0.11505257849182401, -0.05243029833904334, 0.09204435207232434, 0.050833364477979814, 0.02417082567034023, 0.1474472858809999, -0.15001504415912287, -0.08569923828222922, 0.4001044930091926, -0.002792794190879379, -0.21743877109007112, 0.17180831321249052, -0.06197220683097839, -0.2283400416773345, 0.13496305027178357, 0.06396716936890567, 0.23020138063334994, -0.09284101957496854, 0.09021323866410447, -0.10597917187426771, 0.15194285003734487, 0.03898680900622691, -0.08769216670521668, 0.2849731730031116, 0.052453688139628085, 0.07478666622191668, 0.16065528562092887, -0.02283611563699586, -0.010330431556628486, -0.3924461553139346, -0.1869788131277476, -0.05494819955368127, 0.23424853664556786, -0.17476979181436555, -0.15346352207873548, 0.30494510967816624, 0.026792296141918217, 0.16380455291696958, 0.08865739229866969, 0.09392418073756355, 0.0819410264492035, 0.1010403832686799, 0.026557559706270696, 0.2108245455792972, 0.16588643666888986, -0.025619386455842427, -0.09967963956296444, -0.22914615965315274, 0.24619908407330512] |
1,803.02426 | Local available quantum correlations for Bell Diagonal states and
markovian decoherence | Local available quantum correlations (LAQCs), as defined by Mundarain et al.
[19], are analytically determined for Bell Diagonal states. Using the Kraus
operators formalism [10], we analyze the dissipative dynamics of 2-qubit LAQCs
under markovian decoherence. This is done for Werner states under the
depolarizing [20] and phase damping channels [21]. Since Werner states are
among those that exhibit the so called entanglement sudden death [27], the
results are compared with the ones obtained for Quantum Discord [22], as
analyzed by Werlang et al. [24], as well as for entanglement, i.e. Concurrence
[7]. The LAQCs quantifier only vanishes asymptotically, as was shown to be the
case for Quantum Discord, in spite of being lower.
| quant-ph | local available quantum correlations laqcs as defined by mundarain et al 19 are analytically determined for bell diagonal states using the kraus operators formalism 10 we analyze the dissipative dynamics of 2qubit laqcs under markovian decoherence this is done for werner states under the depolarizing 20 and phase damping channels 21 since werner states are among those that exhibit the so called entanglement sudden death 27 the results are compared with the ones obtained for quantum discord 22 as analyzed by werlang et al 24 as well as for entanglement ie concurrence 7 the laqcs quantifier only vanishes asymptotically as was shown to be the case for quantum discord in spite of being lower | [['local', 'available', 'quantum', 'correlations', 'laqcs', 'as', 'defined', 'by', 'mundarain', 'et', 'al', '19', 'are', 'analytically', 'determined', 'for', 'bell', 'diagonal', 'states', 'using', 'the', 'kraus', 'operators', 'formalism', '10', 'we', 'analyze', 'the', 'dissipative', 'dynamics', 'of', '2qubit', 'laqcs', 'under', 'markovian', 'decoherence', 'this', 'is', 'done', 'for', 'werner', 'states', 'under', 'the', 'depolarizing', '20', 'and', 'phase', 'damping', 'channels', '21', 'since', 'werner', 'states', 'are', 'among', 'those', 'that', 'exhibit', 'the', 'so', 'called', 'entanglement', 'sudden', 'death', '27', 'the', 'results', 'are', 'compared', 'with', 'the', 'ones', 'obtained', 'for', 'quantum', 'discord', '22', 'as', 'analyzed', 'by', 'werlang', 'et', 'al', '24', 'as', 'well', 'as', 'for', 'entanglement', 'ie', 'concurrence', '7', 'the', 'laqcs', 'quantifier', 'only', 'vanishes', 'asymptotically', 'as', 'was', 'shown', 'to', 'be', 'the', 'case', 'for', 'quantum', 'discord', 'in', 'spite', 'of', 'being', 'lower']] | [-0.11222882062687119, 0.22838178149679988, -0.007205304079812712, 0.07949856765963863, 0.08374063584302445, -0.22808995354195347, 0.039172272117544725, 0.3072343516962982, -0.1745684172118374, -0.30054209246176533, 0.08233255559766038, -0.28888768059370495, -0.12728615966419468, 0.21453392809767902, -0.0591677063133411, 0.11590681722041517, 0.01616119543519036, 0.012401607030780113, -0.05050566912612227, -0.30648838805314976, 0.2719726261262477, 0.060365311138999476, 0.2612349952249664, 0.0228608985981632, 0.0407892978643026, 0.0016952562434351549, 0.0023877337998380902, 0.015522164527524626, -0.11429158016397727, -0.029267142105958863, 0.2523322670114746, 0.11493639417190467, 0.202454042299527, -0.362692739732102, -0.1863842566736636, 0.08863182404527721, 0.11560771219634278, 0.17730899805417366, 0.04212341004512808, -0.3750841187754135, -0.00384862541707348, -0.2073140804845411, -0.09478873801541275, -0.09792939681287822, 0.0952596949759574, -0.054018547826454835, -0.24611169715984765, 0.1764187034862363, 0.07677727547552503, 0.09366364419806451, -0.00886271131200205, -0.10420206493689818, -0.04850448680571816, 0.08671026439478094, -0.08793128056099986, -0.0031792301626925447, 0.13709233331584694, -0.0571612915275536, -0.17698433124398466, 0.3059882755201738, -0.07545389572933184, -0.1780983299432648, 0.1590246254211473, -0.11715081011035801, -0.09749435895715997, 0.06551632734707895, 0.03343943703046019, 0.09070322544734298, -0.16892821851919973, 0.08609371686681891, -0.026168017438509855, 0.10617223881139724, 0.131772534060498, 0.15267266427059617, 0.09730865716505631, 0.009189113596478988, 0.05546480362031576, 0.20616522525896655, -0.048227930743354415, -0.1794454397404962, -0.27838137672505286, -0.15340974827818454, -0.24059522370766617, 0.1084903406486146, -0.03121029932360449, -0.08033869605057098, 0.36065153484191514, 0.07518700576609874, 0.17688000282124344, 0.04584142308171212, 0.186610158091922, 0.12752009120839855, 0.03490118292135607, 0.14327644391512845, 0.31166331198033503, 0.21774393065824313, 0.09140442544182317, -0.22859237068621194, 0.08894653080558751, 0.0312607970698613] |
1,803.02427 | Estimating network structure from unreliable measurements | Most empirical studies of networks assume that the network data we are given
represent a complete and accurate picture of the nodes and edges in the system
of interest, but in real-world situations this is rarely the case. More often
the data only specify the network structure imperfectly -- like data in
essentially every other area of empirical science, network data are prone to
measurement error and noise. At the same time, the data may be richer than
simple network measurements, incorporating multiple measurements, weights,
lengths or strengths of edges, node or edge labels, or annotations of various
kinds. Here we develop a general method for making estimates of network
structure and properties using any form of network data, simple or complex,
when the data are unreliable, and give example applications to a selection of
social and biological networks.
| cs.SI physics.soc-ph | most empirical studies of networks assume that the network data we are given represent a complete and accurate picture of the nodes and edges in the system of interest but in realworld situations this is rarely the case more often the data only specify the network structure imperfectly like data in essentially every other area of empirical science network data are prone to measurement error and noise at the same time the data may be richer than simple network measurements incorporating multiple measurements weights lengths or strengths of edges node or edge labels or annotations of various kinds here we develop a general method for making estimates of network structure and properties using any form of network data simple or complex when the data are unreliable and give example applications to a selection of social and biological networks | [['most', 'empirical', 'studies', 'of', 'networks', 'assume', 'that', 'the', 'network', 'data', 'we', 'are', 'given', 'represent', 'a', 'complete', 'and', 'accurate', 'picture', 'of', 'the', 'nodes', 'and', 'edges', 'in', 'the', 'system', 'of', 'interest', 'but', 'in', 'realworld', 'situations', 'this', 'is', 'rarely', 'the', 'case', 'more', 'often', 'the', 'data', 'only', 'specify', 'the', 'network', 'structure', 'imperfectly', 'like', 'data', 'in', 'essentially', 'every', 'other', 'area', 'of', 'empirical', 'science', 'network', 'data', 'are', 'prone', 'to', 'measurement', 'error', 'and', 'noise', 'at', 'the', 'same', 'time', 'the', 'data', 'may', 'be', 'richer', 'than', 'simple', 'network', 'measurements', 'incorporating', 'multiple', 'measurements', 'weights', 'lengths', 'or', 'strengths', 'of', 'edges', 'node', 'or', 'edge', 'labels', 'or', 'annotations', 'of', 'various', 'kinds', 'here', 'we', 'develop', 'a', 'general', 'method', 'for', 'making', 'estimates', 'of', 'network', 'structure', 'and', 'properties', 'using', 'any', 'form', 'of', 'network', 'data', 'simple', 'or', 'complex', 'when', 'the', 'data', 'are', 'unreliable', 'and', 'give', 'example', 'applications', 'to', 'a', 'selection', 'of', 'social', 'and', 'biological', 'networks']] | [-0.12705659020803464, 0.03291776252107398, -0.027753118894643325, 0.07271522550803164, -0.10556500477284408, -0.16822666683963136, 0.07192555231892545, 0.4318933458863825, -0.25980537970283785, -0.32557836996842315, 0.12314907572842945, -0.30892734210668266, -0.18444690106949513, 0.17927596989371206, -0.06136268122033958, 0.03853434245051492, 0.15035952079241446, 0.08194878356416534, -0.017490762234007452, -0.231752221847115, 0.332585541167013, 0.04168569926253479, 0.2972513014362936, 0.007697766440063445, 0.041952377000268534, 0.002165475750571468, -0.05061231440851006, 0.042893469574915216, -0.08327770458419, 0.1452445650432745, 0.29256189050848014, 0.16528689882893494, 0.29663466322370735, -0.4913234011077346, -0.24456285919143778, 0.1443696476964523, 0.10070481514591939, 0.14012383035573084, 0.014078490649821553, -0.2863985163048315, 0.08095687633528766, -0.12301741842458032, -0.059390138173340885, -0.09879025579362676, 0.010720052830604971, 0.026765211407716077, -0.30327120194957335, 0.055736021729240165, 0.04123162191936517, 0.07865624729058017, -0.026527951036215476, -0.10288434357726542, -0.04286108018773054, 0.18229286159001515, -0.001218318421245161, -0.007104698305382677, 0.1379576729424129, -0.16685651886729064, -0.1174385585160791, 0.373688620272214, 0.019786571961826732, -0.20492356495283867, 0.20316165918315612, -0.10613549265173683, -0.16767558270215016, 0.09383454315357612, 0.21576331460686482, 0.08950431070094793, -0.19148923873032891, -0.009130274093257722, -0.0352453109268369, 0.1508264231050144, 0.020295449343604454, 0.06499480612220013, 0.14971218995776944, 0.19916088928880196, 0.05347016415612745, 0.08837474265728025, -0.10227507265095694, -0.05294256143109954, -0.25138183689610427, -0.10376268557339917, -0.22730637707518062, 0.014197618960389409, -0.14305534647997853, -0.16948685291614654, 0.3851383138039703, 0.1589917818234518, 0.25125834623189724, 0.06457936195521682, 0.3275083083443452, 0.04476952964045188, 0.09900165695791552, 0.10427554872602332, 0.1610394271320083, 0.055322578703255756, 0.0914740860285035, -0.08765729836633672, 0.14274829982752926, -0.043951791623418314] |
1,803.02428 | Strongly correlated photon transport in waveguide QED with weakly
coupled emitters | We show that strongly correlated photon transport can be observed in
waveguides containing optically dense ensembles of emitters. Remarkably, this
occurs even for weak coupling efficiencies. Specifically, we compute the photon
transport properties through a chirally coupled system of $N$ two-level systems
driven by a weak coherent field, where each emitter can also scatter photons
out of the waveguide. The photon correlations arise due to an interplay of
nonlinearity and coupling to a loss reservoir, which creates a strong effective
interaction between transmitted photons. The highly correlated photon states
are less susceptible to losses than uncorrelated photons and have a power-law
decay with $N$. This is described using a simple universal asymptotic solution
governed by a single scaling parameter which describes photon bunching and
power transmission. We show numerically that, for randomly placed emitters,
these results hold even in systems without chirality. The effect can be
observed in existing tapered fiber setups with trapped atoms.
| quant-ph physics.optics | we show that strongly correlated photon transport can be observed in waveguides containing optically dense ensembles of emitters remarkably this occurs even for weak coupling efficiencies specifically we compute the photon transport properties through a chirally coupled system of n twolevel systems driven by a weak coherent field where each emitter can also scatter photons out of the waveguide the photon correlations arise due to an interplay of nonlinearity and coupling to a loss reservoir which creates a strong effective interaction between transmitted photons the highly correlated photon states are less susceptible to losses than uncorrelated photons and have a powerlaw decay with n this is described using a simple universal asymptotic solution governed by a single scaling parameter which describes photon bunching and power transmission we show numerically that for randomly placed emitters these results hold even in systems without chirality the effect can be observed in existing tapered fiber setups with trapped atoms | [['we', 'show', 'that', 'strongly', 'correlated', 'photon', 'transport', 'can', 'be', 'observed', 'in', 'waveguides', 'containing', 'optically', 'dense', 'ensembles', 'of', 'emitters', 'remarkably', 'this', 'occurs', 'even', 'for', 'weak', 'coupling', 'efficiencies', 'specifically', 'we', 'compute', 'the', 'photon', 'transport', 'properties', 'through', 'a', 'chirally', 'coupled', 'system', 'of', 'n', 'twolevel', 'systems', 'driven', 'by', 'a', 'weak', 'coherent', 'field', 'where', 'each', 'emitter', 'can', 'also', 'scatter', 'photons', 'out', 'of', 'the', 'waveguide', 'the', 'photon', 'correlations', 'arise', 'due', 'to', 'an', 'interplay', 'of', 'nonlinearity', 'and', 'coupling', 'to', 'a', 'loss', 'reservoir', 'which', 'creates', 'a', 'strong', 'effective', 'interaction', 'between', 'transmitted', 'photons', 'the', 'highly', 'correlated', 'photon', 'states', 'are', 'less', 'susceptible', 'to', 'losses', 'than', 'uncorrelated', 'photons', 'and', 'have', 'a', 'powerlaw', 'decay', 'with', 'n', 'this', 'is', 'described', 'using', 'a', 'simple', 'universal', 'asymptotic', 'solution', 'governed', 'by', 'a', 'single', 'scaling', 'parameter', 'which', 'describes', 'photon', 'bunching', 'and', 'power', 'transmission', 'we', 'show', 'numerically', 'that', 'for', 'randomly', 'placed', 'emitters', 'these', 'results', 'hold', 'even', 'in', 'systems', 'without', 'chirality', 'the', 'effect', 'can', 'be', 'observed', 'in', 'existing', 'tapered', 'fiber', 'setups', 'with', 'trapped', 'atoms']] | [-0.1712389704140444, 0.2546794462056207, -0.03737565038665648, 0.05059057440113036, 0.018526666854778606, -0.24313196573827056, 0.03661062727952676, 0.44314771581200824, -0.23611759296468188, -0.28529069153291564, -0.013501402018441548, -0.32781545944331636, -0.08748230566420863, 0.20495239693310954, 0.024697255850168725, 0.023918531903426254, 0.05369361687842156, -0.04336596950437994, -0.0006352123624134449, -0.17872861660716513, 0.30459643767605865, 0.04471100591754, 0.3054571526545671, 0.04431597170149607, 0.10006263131095518, 0.011084213713183999, 0.06050141833557357, 0.021519476902340687, -0.04682065201669766, 0.0778171656844807, 0.20471097832778468, -0.022290876399605506, 0.21783199430773817, -0.43469081926009345, -0.22318290932622228, 0.12119811170043483, 0.21457565219250446, 0.12652020429020688, -0.0821303756532049, -0.2744374544389786, -0.00532879130764594, -0.15241202934224518, -0.13687234260742703, -0.03827081871136362, -0.016113657125782582, 0.03514750491106702, -0.2921810015555351, 0.09090743589613046, 0.027171482353080666, -0.013755565040534542, 0.04077168535366053, 0.009846155913997321, -0.025417578259422896, 0.06187190645704827, -0.02042564425407158, -0.027682993480477543, 0.18353847103313572, -0.16082840444399946, -0.0964310027486194, 0.35570194881987727, -0.10270332974999496, -0.19292497663728653, 0.17571644426451155, -0.15176833936524006, -0.04822416932983024, 0.1832465606501266, 0.17716708283781285, 0.10872635590738707, -0.14376209352405803, 0.020994379419895386, -0.02391783558733521, 0.24650235041044652, 0.06048596175988355, 0.12761653844988155, 0.23909367164596915, 0.14263782591348695, 0.007901021811900841, 0.18686945355091725, -0.07342088701984574, -0.08596850042982447, -0.2736656020515628, -0.101970612629497, -0.1954272465630164, 0.11426703838571425, -0.08570020555400275, -0.13814173295132576, 0.3478102523322788, 0.12176677874559837, 0.19060841033595705, 0.008623509320821012, 0.2803638653619395, 0.1964080553021162, 0.06409896103244635, 0.07263771476103895, 0.321328096956976, 0.1523925912070779, 0.03624368059794388, -0.24933786115669196, 0.019146492954103218, -0.052689908658184355] |
1,803.02429 | Testing Gravitational Memory Generation with Compact Binary Mergers | Gravitational memory is an important prediction of classical General
Relativity, which is intimately related to asymptotic symmetries at null
infinity and the so-called soft graviton theorem first shown by Weinberg. For a
given transient astronomical event, the angular distributions of energy and
angular momentum flux uniquely determine the displacement and spin memory
effect in the sky. We investigate the possibility of using the binary black
hole merger events detected by Advanced LIGO/Virgo to test the relation between
source energy emissions and gravitational memory measured on earth, as
predicted by General Relativity. We find that while it is difficult for
Advanced LIGO/Virgo, one-year detection of a third-generation detector network
will easily rule out the hypothesis assuming isotropic memory distribution. In
addition, we have constructed a phenomenological model for memory waveforms of
binary neutron star mergers, and use it to address the detectability of memory
from these events in the third-generation detector era. We find that measuring
gravitational memory from neutron star mergers is a possible way to distinguish
between different neutron star equations of state.
| gr-qc hep-th | gravitational memory is an important prediction of classical general relativity which is intimately related to asymptotic symmetries at null infinity and the socalled soft graviton theorem first shown by weinberg for a given transient astronomical event the angular distributions of energy and angular momentum flux uniquely determine the displacement and spin memory effect in the sky we investigate the possibility of using the binary black hole merger events detected by advanced ligovirgo to test the relation between source energy emissions and gravitational memory measured on earth as predicted by general relativity we find that while it is difficult for advanced ligovirgo oneyear detection of a thirdgeneration detector network will easily rule out the hypothesis assuming isotropic memory distribution in addition we have constructed a phenomenological model for memory waveforms of binary neutron star mergers and use it to address the detectability of memory from these events in the thirdgeneration detector era we find that measuring gravitational memory from neutron star mergers is a possible way to distinguish between different neutron star equations of state | [['gravitational', 'memory', 'is', 'an', 'important', 'prediction', 'of', 'classical', 'general', 'relativity', 'which', 'is', 'intimately', 'related', 'to', 'asymptotic', 'symmetries', 'at', 'null', 'infinity', 'and', 'the', 'socalled', 'soft', 'graviton', 'theorem', 'first', 'shown', 'by', 'weinberg', 'for', 'a', 'given', 'transient', 'astronomical', 'event', 'the', 'angular', 'distributions', 'of', 'energy', 'and', 'angular', 'momentum', 'flux', 'uniquely', 'determine', 'the', 'displacement', 'and', 'spin', 'memory', 'effect', 'in', 'the', 'sky', 'we', 'investigate', 'the', 'possibility', 'of', 'using', 'the', 'binary', 'black', 'hole', 'merger', 'events', 'detected', 'by', 'advanced', 'ligovirgo', 'to', 'test', 'the', 'relation', 'between', 'source', 'energy', 'emissions', 'and', 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1,803.0243 | Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly
Matching | A symmetry-twisted boundary condition of the path integral provides a
suitable framework for the semi-classical analysis of nonperturbative quantum
field theories (QFTs), and we reinterpret it from the viewpoint of the Hilbert
space. An appropriate twist with the unbroken symmetry can potentially produce
huge cancellations among excited states in the state-sum, without affecting the
ground states; we call this effect "quantum distillation". Quantum distillation
can provide the underlying mechanism for adiabatic continuity, by preventing a
phase transition under $S^1$ compactification. We revisit this point via the 't
Hooft anomaly matching condition when it constrains the vacuum structure of the
theory on $\mathbb{R}^d$ and upon compactification. We show that there is a
precise relation between the persistence of the anomaly upon compactification,
the Hilbert space quantum distillation, and the semi-classical analysis of the
corresponding symmetry-twisted path integrals. We motivate quantum distillation
in quantum mechanical examples, and then study its non-trivial action in QFT,
with the example of the 2D Grassmannian sigma model $\mathrm{Gr}(N,M)$. We also
discuss the connection of quantum distillation with large-$N$ volume
independence and flavor-momentum transmutation.
| hep-th | a symmetrytwisted boundary condition of the path integral provides a suitable framework for the semiclassical analysis of nonperturbative quantum field theories qfts and we reinterpret it from the viewpoint of the hilbert space an appropriate twist with the unbroken symmetry can potentially produce huge cancellations among excited states in the statesum without affecting the ground states we call this effect quantum distillation quantum distillation can provide the underlying mechanism for adiabatic continuity by preventing a phase transition under s1 compactification we revisit this point via the t hooft anomaly matching condition when it constrains the vacuum structure of the theory on mathbbrd and upon compactification we show that there is a precise relation between the persistence of the anomaly upon compactification the hilbert space quantum distillation and the semiclassical analysis of the corresponding symmetrytwisted path integrals we motivate quantum distillation in quantum mechanical examples and then study its nontrivial action in qft with the example of the 2d grassmannian sigma model mathrmgrnm we also discuss the connection of quantum distillation with largen volume independence and flavormomentum transmutation | [['a', 'symmetrytwisted', 'boundary', 'condition', 'of', 'the', 'path', 'integral', 'provides', 'a', 'suitable', 'framework', 'for', 'the', 'semiclassical', 'analysis', 'of', 'nonperturbative', 'quantum', 'field', 'theories', 'qfts', 'and', 'we', 'reinterpret', 'it', 'from', 'the', 'viewpoint', 'of', 'the', 'hilbert', 'space', 'an', 'appropriate', 'twist', 'with', 'the', 'unbroken', 'symmetry', 'can', 'potentially', 'produce', 'huge', 'cancellations', 'among', 'excited', 'states', 'in', 'the', 'statesum', 'without', 'affecting', 'the', 'ground', 'states', 'we', 'call', 'this', 'effect', 'quantum', 'distillation', 'quantum', 'distillation', 'can', 'provide', 'the', 'underlying', 'mechanism', 'for', 'adiabatic', 'continuity', 'by', 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1,803.02431 | Convexity of Self-Similar Transonic Shocks and Free Boundaries for the
Euler Equations for Potential Flow | We are concerned with geometric properties of transonic shocks as free
boundaries in two-dimensional self-similar coordinates for compressible fluid
flows, which are not only important for the understanding of geometric
structure and stability of fluid motions in continuum mechanics but also
fundamental in the mathematical theory of multidimensional conservation laws. A
transonic shock for the Euler equations for self-similar potential flow
separates elliptic (subsonic) and hyperbolic (supersonic) phases of the
self-similar solution of the corresponding nonlinear partial differential
equation in a domain under consideration, in which the location of the
transonic shock is apriori unknown. We first develop a general framework under
which self-similar transonic shocks, as free boundaries, are proved to be
uniformly convex, and then apply this framework to prove the uniform convexity
of transonic shocks in the two longstanding fundamental shock problems -- the
shock reflection-diffraction by wedges and the Prandtl-Meyer reflection for
supersonic flows past solid ramps. To achieve this, our approach is to exploit
underlying nonlocal properties of the solution and the free boundary for the
potential flow equation.
| math.AP math-ph math.MP | we are concerned with geometric properties of transonic shocks as free boundaries in twodimensional selfsimilar coordinates for compressible fluid flows which are not only important for the understanding of geometric structure and stability of fluid motions in continuum mechanics but also fundamental in the mathematical theory of multidimensional conservation laws a transonic shock for the euler equations for selfsimilar potential flow separates elliptic subsonic and hyperbolic supersonic phases of the selfsimilar solution of the corresponding nonlinear partial differential equation in a domain under consideration in which the location of the transonic shock is apriori unknown we first develop a general framework under which selfsimilar transonic shocks as free boundaries are proved to be uniformly convex and then apply this framework to prove the uniform convexity of transonic shocks in the two longstanding fundamental shock problems the shock reflectiondiffraction by wedges and the prandtlmeyer reflection for supersonic flows past solid ramps to achieve this our approach is to exploit underlying nonlocal properties of the solution and the free boundary for the potential flow equation | [['we', 'are', 'concerned', 'with', 'geometric', 'properties', 'of', 'transonic', 'shocks', 'as', 'free', 'boundaries', 'in', 'twodimensional', 'selfsimilar', 'coordinates', 'for', 'compressible', 'fluid', 'flows', 'which', 'are', 'not', 'only', 'important', 'for', 'the', 'understanding', 'of', 'geometric', 'structure', 'and', 'stability', 'of', 'fluid', 'motions', 'in', 'continuum', 'mechanics', 'but', 'also', 'fundamental', 'in', 'the', 'mathematical', 'theory', 'of', 'multidimensional', 'conservation', 'laws', 'a', 'transonic', 'shock', 'for', 'the', 'euler', 'equations', 'for', 'selfsimilar', 'potential', 'flow', 'separates', 'elliptic', 'subsonic', 'and', 'hyperbolic', 'supersonic', 'phases', 'of', 'the', 'selfsimilar', 'solution', 'of', 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1,803.02432 | On Nonlinear Dimensionality Reduction, Linear Smoothing and Autoencoding | We develop theory for nonlinear dimensionality reduction (NLDR). A number of
NLDR methods have been developed, but there is limited understanding of how
these methods work and the relationships between them. There is limited basis
for using existing NLDR theory for deriving new algorithms. We provide a novel
framework for analysis of NLDR via a connection to the statistical theory of
linear smoothers. This allows us to both understand existing methods and derive
new ones. We use this connection to smoothing to show that asymptotically,
existing NLDR methods correspond to discrete approximations of the solutions of
sets of differential equations given a boundary condition. In particular, we
can characterize many existing methods in terms of just three limiting
differential operators and boundary conditions. Our theory also provides a way
to assert that one method is preferable to another; indeed, we show Local
Tangent Space Alignment is superior within a class of methods that assume a
global coordinate chart defines an isometric embedding of the manifold.
| stat.ML | we develop theory for nonlinear dimensionality reduction nldr a number of nldr methods have been developed but there is limited understanding of how these methods work and the relationships between them there is limited basis for using existing nldr theory for deriving new algorithms we provide a novel framework for analysis of nldr via a connection to the statistical theory of linear smoothers this allows us to both understand existing methods and derive new ones we use this connection to smoothing to show that asymptotically existing nldr methods correspond to discrete approximations of the solutions of sets of differential equations given a boundary condition in particular we can characterize many existing methods in terms of just three limiting differential operators and boundary conditions our theory also provides a way to assert that one method is preferable to another indeed we show local tangent space alignment is superior within a class of methods that assume a global coordinate chart defines an isometric embedding of the manifold | [['we', 'develop', 'theory', 'for', 'nonlinear', 'dimensionality', 'reduction', 'nldr', 'a', 'number', 'of', 'nldr', 'methods', 'have', 'been', 'developed', 'but', 'there', 'is', 'limited', 'understanding', 'of', 'how', 'these', 'methods', 'work', 'and', 'the', 'relationships', 'between', 'them', 'there', 'is', 'limited', 'basis', 'for', 'using', 'existing', 'nldr', 'theory', 'for', 'deriving', 'new', 'algorithms', 'we', 'provide', 'a', 'novel', 'framework', 'for', 'analysis', 'of', 'nldr', 'via', 'a', 'connection', 'to', 'the', 'statistical', 'theory', 'of', 'linear', 'smoothers', 'this', 'allows', 'us', 'to', 'both', 'understand', 'existing', 'methods', 'and', 'derive', 'new', 'ones', 'we', 'use', 'this', 'connection', 'to', 'smoothing', 'to', 'show', 'that', 'asymptotically', 'existing', 'nldr', 'methods', 'correspond', 'to', 'discrete', 'approximations', 'of', 'the', 'solutions', 'of', 'sets', 'of', 'differential', 'equations', 'given', 'a', 'boundary', 'condition', 'in', 'particular', 'we', 'can', 'characterize', 'many', 'existing', 'methods', 'in', 'terms', 'of', 'just', 'three', 'limiting', 'differential', 'operators', 'and', 'boundary', 'conditions', 'our', 'theory', 'also', 'provides', 'a', 'way', 'to', 'assert', 'that', 'one', 'method', 'is', 'preferable', 'to', 'another', 'indeed', 'we', 'show', 'local', 'tangent', 'space', 'alignment', 'is', 'superior', 'within', 'a', 'class', 'of', 'methods', 'that', 'assume', 'a', 'global', 'coordinate', 'chart', 'defines', 'an', 'isometric', 'embedding', 'of', 'the', 'manifold']] | [-0.0784545846777319, -0.015289474279305784, -0.13727699624600284, 0.09205471237726284, -0.11338013231782525, -0.14185347948505572, 0.031433659924589324, 0.3811045521362261, -0.27480800629480545, -0.2746844408373969, 0.10012734765469125, -0.2411946893656436, -0.2017288494460059, 0.21363300243815916, -0.10684310398346773, 0.07326451236325683, 0.052249408468152535, 0.021598245738476345, -0.13813565295528282, -0.24136044626886194, 0.33658963634322087, -0.004764787121817018, 0.30233646429736505, 0.01421905756561142, 0.1317819184849434, -0.01671054840765216, -0.06351437379860066, 0.06626042942075538, -0.15934901335907245, 0.19675693320336216, 0.2884906592426088, 0.16589358076594318, 0.30182127846461354, -0.42922833280807193, -0.22939208992051355, 0.12426896136232905, 0.14896171607754446, 0.13564711393732012, -0.02753901310603727, -0.23046399378923305, 0.09936285838484764, -0.1390062682217721, -0.12015533270596555, -0.17525234053080732, -0.02457020828556834, -0.0002356631229772712, -0.28665117942022555, 0.03780812792970347, 0.08124498972584578, 0.04501505047082901, -0.06551664622789813, -0.08591128821964517, 0.03143087221083767, 0.11305877799168229, 0.04307526906698265, 0.002857327221356558, 0.06285466388375922, -0.08373157503365568, -0.13809161951031648, 0.3523244823696035, -0.05733013940467076, -0.2707776700273495, 0.22799341012864854, -0.0803155199906817, -0.1607330860330187, 0.09854292863076836, 0.16771159991833634, 0.15314696825702082, -0.1556265707381747, 0.12003485089852334, -0.03732142742638561, 0.13828297220452718, 0.03201288842934776, 0.023058908760096086, 0.118844040731589, 0.17114405123037146, 0.12941342005047551, 0.09600453495866422, -0.05844071469618939, -0.10515327066973304, -0.2995549897409298, -0.15261287949838195, -0.12114255344212958, 0.011755276438215691, -0.08296842930924896, -0.1913872942434285, 0.36951937414423536, 0.19340599352832544, 0.18661600691689686, 0.060034699063522344, 0.2822340469468724, 0.12162730830199452, 0.05822335599328984, 0.07361853182400492, 0.21630623710595748, 0.150835751867712, 0.05637256526247118, -0.15968533111736177, 0.019066878550714164, 0.11837300951733734] |
1,803.02433 | Extracting useful information from connected vehicle data: An empirical
study of driving volatility measures and crash frequency at intersections | With the emergence of high-frequency connected and automated vehicle data,
analysts have become able to extract useful information from them. To this end,
the concept of "driving volatility" is defined and explored as deviation from
the norm. Several measures of dispersion and variation can be computed in
different ways using vehicles' instantaneous speed, acceleration, and jerk
observed at intersections. This study explores different measures of
volatility, representing newly available surrogate measures of safety, by
combining data from the Michigan Safety Pilot Deployment of connected vehicles
with crash and inventory data at several intersections. The intersection data
was error-checked and verified for accuracy. Then, for each intersection, 37
different measures of volatility were calculated. These volatilities were then
used to explain crash frequencies at intersection by estimating fixed and
random parameter Poisson regression models. Results show that an increase in
three measures of driving volatility are positively associated with higher
intersection crash frequency, controlling for exposure variables and geometric
features. More intersection crashes were associated with higher percentages of
vehicle data points (speed & acceleration) lying beyond threshold-bands. These
bands were created using mean plus two standard deviations. Furthermore, a
higher magnitude of time-varying stochastic volatility of vehicle speeds when
they pass through the intersection is associated with higher crash frequencies.
These measures can be used to locate intersections with high driving
volatilities, i.e., hot-spots where crashes are waiting to happen. Therefore, a
deeper analysis of these intersections can be undertaken and proactive safety
countermeasures considered at high volatility locations to enhance safety.
| stat.AP | with the emergence of highfrequency connected and automated vehicle data analysts have become able to extract useful information from them to this end the concept of driving volatility is defined and explored as deviation from the norm several measures of dispersion and variation can be computed in different ways using vehicles instantaneous speed acceleration and jerk observed at intersections this study explores different measures of volatility representing newly available surrogate measures of safety by combining data from the michigan safety pilot deployment of connected vehicles with crash and inventory data at several intersections the intersection data was errorchecked and verified for accuracy then for each intersection 37 different measures of volatility were calculated these volatilities were then used to explain crash frequencies at intersection by estimating fixed and random parameter poisson regression models results show that an increase in three measures of driving volatility are positively associated with higher intersection crash frequency controlling for exposure variables and geometric features more intersection crashes were associated with higher percentages of vehicle data points speed acceleration lying beyond thresholdbands these bands were created using mean plus two standard deviations furthermore a higher magnitude of timevarying stochastic volatility of vehicle speeds when they pass through the intersection is associated with higher crash frequencies these measures can be used to locate intersections with high driving volatilities ie hotspots where crashes are waiting to happen therefore a deeper analysis of these intersections can be undertaken and proactive safety countermeasures considered at high volatility locations to enhance safety | [['with', 'the', 'emergence', 'of', 'highfrequency', 'connected', 'and', 'automated', 'vehicle', 'data', 'analysts', 'have', 'become', 'able', 'to', 'extract', 'useful', 'information', 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1,803.02434 | Impact of the reduced speed of light approximation on the post-overlap
neutral hydrogen fraction in numerical simulations of the epoch of
reionization | The reduced speed of light approximation is used in a variety of simulations
of the epoch of reionization and galaxy formation. Its popularity stems from
its ability to drastically reduce the computing cost of a simulation, by
allowing the use of larger, and therefore fewer timesteps to reach a solution.
It is physically motivated by the fact that ionization fronts rarely propagate
faster than some fraction of the speed of light. However, no global proof of
the physical validity of this approach is available, and possible artefacts
resulting from this approximation therefore need to be identifited and
characterized to allow its proper use. In this paper we investigate the impact
of the reduced speed of light approximation on the predicted properties of the
intergalactic medium. To this end we use fully coupled radiation-hydrodynamics
RAMSES-CUDATON simulations of the epoch of reionization. We find that reducing
the speed of light by a factor 5 (20, 100) leads to overestimating the
post-reionization volume-weighted $x_{HI}$ by a similar factor ~5 (20, 100)
with respect to full speed of light simulations. We show that the error is
driven by the hydrogen - photon chemistry. In photo-ionization equilibrium,
reducing the speed of light has the same effect as artificially reducing the
photon density or the reaction cross-section and leads to an underestimated
ionizing flux. We confirm this interpretation by running additional simulations
using a reduced speed of light in the photon propagation module, but keeping
this time the full speed of light in the chemistry module. With this setup, the
post-reionization neutral hydrogen fractions converge to the full speed of
light value, which validates our explanation. Increasing spatial resolution
beyond a cell size of 1 kpc physical, so as to better resolve Lyman-limit
systems, does not significantly affect our conclusions.
| astro-ph.CO astro-ph.GA | the reduced speed of light approximation is used in a variety of simulations of the epoch of reionization and galaxy formation its popularity stems from its ability to drastically reduce the computing cost of a simulation by allowing the use of larger and therefore fewer timesteps to reach a solution it is physically motivated by the fact that ionization fronts rarely propagate faster than some fraction of the speed of light however no global proof of the physical validity of this approach is available and possible artefacts resulting from this approximation therefore need to be identifited and characterized to allow its proper use in this paper we investigate the impact of the reduced speed of light approximation on the predicted properties of the intergalactic medium to this end we use fully coupled radiationhydrodynamics ramsescudaton simulations of the epoch of reionization we find that reducing the speed of light by a factor 5 20 100 leads to overestimating the postreionization volumeweighted x_hi by a similar factor 5 20 100 with respect to full speed of light simulations we show that the error is driven by the hydrogen photon chemistry in photoionization equilibrium reducing the speed of light has the same effect as artificially reducing the photon density or the reaction crosssection and leads to an underestimated ionizing flux we confirm this interpretation by running additional simulations using a reduced speed of light in the photon propagation module but keeping this time the full speed of light in the chemistry module with this setup the postreionization neutral hydrogen fractions converge to the full speed of light value which validates our explanation increasing spatial resolution beyond a cell size of 1 kpc physical so as to better resolve lymanlimit systems does not significantly affect our conclusions | [['the', 'reduced', 'speed', 'of', 'light', 'approximation', 'is', 'used', 'in', 'a', 'variety', 'of', 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1,803.02435 | On the symmetrized arithmetic-geometric mean inequality for opertors | We study the symmetrized noncommutative arithmetic geometric mean inequality
introduced(AGM) by Recht and R\'{e} $$
\|\frac{(n-d)!}{n!}\sum\limits_{{ j_1,...,j_d \mbox{ different}}
}A_{j_{1}}^*A_{j_{2}}^*...A_{j_{d}}^*A_{j_{d}}...A_{j_{2}}A_{j_{1}} \| \leq
C(d,n) \|\frac{1}{n} \sum_{j=1}^n A_j^*A_j\|^d .$$
Complementing the results from Recht and R\'{e}, we find upper bounds for
C(d,n) under additional assumptions. Moreover, using free probability, we show
that $C(d, n) > 1$, thereby disproving the most optimistic conjecture from
Recht and R\'{e}.We also prove a deviation result for the symmetrized-AGM
inequality which shows that the symmetric inequality almost holds for many
classes of random matrices. Finally we apply our results to the incremental
gradient method(IGM).
| math.OA math.FA | we study the symmetrized noncommutative arithmetic geometric mean inequality introducedagm by recht and re fracndnsumlimits_ j_1j_d mbox different a_j_1a_j_2a_j_da_j_da_j_2a_j_1 leq cdn frac1n sum_j1n a_ja_jd complementing the results from recht and re we find upper bounds for cdn under additional assumptions moreover using free probability we show that cd n 1 thereby disproving the most optimistic conjecture from recht and rewe also prove a deviation result for the symmetrizedagm inequality which shows that the symmetric inequality almost holds for many classes of random matrices finally we apply our results to the incremental gradient methodigm | [['we', 'study', 'the', 'symmetrized', 'noncommutative', 'arithmetic', 'geometric', 'mean', 'inequality', 'introducedagm', 'by', 'recht', 'and', 're', 'fracndnsumlimits_', 'j_1j_d', 'mbox', 'different', 'a_j_1a_j_2a_j_da_j_da_j_2a_j_1', 'leq', 'cdn', 'frac1n', 'sum_j1n', 'a_ja_jd', 'complementing', 'the', 'results', 'from', 'recht', 'and', 're', 'we', 'find', 'upper', 'bounds', 'for', 'cdn', 'under', 'additional', 'assumptions', 'moreover', 'using', 'free', 'probability', 'we', 'show', 'that', 'cd', 'n', '1', 'thereby', 'disproving', 'the', 'most', 'optimistic', 'conjecture', 'from', 'recht', 'and', 'rewe', 'also', 'prove', 'a', 'deviation', 'result', 'for', 'the', 'symmetrizedagm', 'inequality', 'which', 'shows', 'that', 'the', 'symmetric', 'inequality', 'almost', 'holds', 'for', 'many', 'classes', 'of', 'random', 'matrices', 'finally', 'we', 'apply', 'our', 'results', 'to', 'the', 'incremental', 'gradient', 'methodigm']] | [-0.10333410746910993, 0.07627829133587725, -0.06515009334201322, 0.08444548009292167, -0.010281732448321932, -0.1758707656415508, 0.07940198174294304, 0.329751482112881, -0.262639676600092, -0.2700290389139863, 0.10614290569415864, -0.3028198287849698, -0.15319549741826075, 0.2482449137879645, -0.10089748221559121, 0.046249005753163465, 0.03229630921474275, 0.015269574531874455, -0.08986244028817643, -0.295136277728221, 0.3035129884586615, -0.0333135437220335, 0.24700935900978305, 0.08919676969252417, 0.06211320370545282, 0.04317126971505144, 0.0010310015915071264, -0.016403078134445585, -0.2287392466830651, 0.1309272189220578, 0.20165197922409894, 0.1911705524140202, 0.28738297794890755, -0.3698578540838378, -0.13199024556807298, 0.15414102322915021, 0.13052888071054922, 0.014749346239327946, -0.05993805584936019, -0.25977881475735237, 0.16400807156939717, -0.12788611092769048, -0.13816468991777475, -0.0637113043326227, 0.007897985102060964, 0.061542092600618215, -0.37583103399066364, 0.10281951825976755, 0.16279506407239858, 0.05541324484785197, -0.05996483973610927, -0.209465590746635, 0.03496655196444515, 0.03741306594079908, 0.06873461227206623, 0.021762440871337756, 0.06530181410010247, -0.05185446912313209, -0.09517151113489972, 0.29477440138511796, -0.07298595467376906, -0.17754574076217763, 0.09321782428990392, -0.14381864245652276, -0.23536931695964405, 0.023145969310665832, 0.12279305545722737, 0.11974263523623128, -0.06310502021737835, 0.173318187167238, -0.14777098455849816, 0.14222296413225943, 0.13197413840714622, 0.015213485878399189, 0.014757802972898764, 0.01714131936759633, 0.15927194402268952, 0.122782050626462, -0.04751344586119932, -0.07469060860902947, -0.30361234458053815, -0.1805169013054932, -0.19452568365206174, 0.13440935122232664, -0.18903172847708716, -0.10344570310758974, 0.2821534648866338, 0.16953775686047534, 0.15427807543207617, 0.19561655771069447, 0.22430388768587042, 0.08137458436437608, -0.0044476272510912485, 0.1568018236745368, 0.16286728072582798, 0.14900787356309592, 0.05120863916681093, -0.12243993408868419, 0.059788988004712496, 0.10948044172323802] |
1,803.02436 | Impact Factors and the Central Limit Theorem: Why Citation Averages Are
Scale Dependent | Citation averages, and Impact Factors (IFs) in particular, are sensitive to
sample size. We apply the Central Limit Theorem (CLT) to IFs to understand
their scale-dependent behavior. For a journal of $n$ randomly selected papers
from a population of all papers, we expect from the CLT that its IF fluctuates
around the population average $\mu$, and spans a range of values proportional
to $\sigma/\sqrt[]{n}$, where $\sigma^2$ is the variance of the population's
citation distribution. The $1/\sqrt[]{n}$ dependence has profound implications
for IF rankings: The larger a journal, the narrower the range around $\mu$
where its IF lies. IF rankings therefore allocate an unfair advantage to
smaller journals in the high IF ranks, and to larger journals in the low IF
ranks. We expect a scale-dependent stratification of journals in IF rankings,
whereby small journals occupy top, middle, and bottom ranks; mid-sized journals
occupy middle ranks; and very large journals have IFs that asymptotically
approach $\mu$. We confirm these predictions by analyzing (i) 166,498 IF \&
journal-size data pairs in the 1997--2016 Journal Citation Reports of Clarivate
Analytics, (ii) the top-cited portion of 276,000 physics papers published in
2014--2015, and (iii) the citation distributions of an arbitrarily sampled list
of physics journals. We conclude that the CLT is a good predictor of the IF
range of actual journals, while sustained deviations from its predictions are a
mark of true, non-random, citation impact. IF rankings are thus misleading
unless one compares like-sized journals or adjusts for these effects. We
propose the $\Phi$ index, a rescaled IF adjusted for size, which can be
generalized to account also for different citation practices across research
fields. Our methodology applies also to citation averages used to compare
research fields, university departments or countries in various rankings.
| physics.soc-ph cs.DL | citation averages and impact factors ifs in particular are sensitive to sample size we apply the central limit theorem clt to ifs to understand their scaledependent behavior for a journal of n randomly selected papers from a population of all papers we expect from the clt that its if fluctuates around the population average mu and spans a range of values proportional to sigmasqrtn where sigma2 is the variance of the populations citation distribution the 1sqrtn dependence has profound implications for if rankings the larger a journal the narrower the range around mu where its if lies if rankings therefore allocate an unfair advantage to smaller journals in the high if ranks and to larger journals in the low if ranks we expect a scaledependent stratification of journals in if rankings whereby small journals occupy top middle and bottom ranks midsized journals occupy middle ranks and very large journals have ifs that asymptotically approach mu we confirm these predictions by analyzing i 166498 if journalsize data pairs in the 19972016 journal citation reports of clarivate analytics ii the topcited portion of 276000 physics papers published in 20142015 and iii the citation distributions of an arbitrarily sampled list of physics journals we conclude that the clt is a good predictor of the if range of actual journals while sustained deviations from its predictions are a mark of true nonrandom citation impact if rankings are thus misleading unless one compares likesized journals or adjusts for these effects we propose the phi index a rescaled if adjusted for size which can be generalized to account also for different citation practices across research fields our methodology applies also to citation averages used to compare research fields university departments or countries in various rankings | [['citation', 'averages', 'and', 'impact', 'factors', 'ifs', 'in', 'particular', 'are', 'sensitive', 'to', 'sample', 'size', 'we', 'apply', 'the', 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1,803.02437 | Metallic nanolayers -- a sub-visible wonderland of optical properties | It was predicted long ago that ultra-thin metallic films must exhibit unusual
optical properties for radiation frequencies from rf to infrared domain. A film
would remain highly reflective even when it is orders of magnitude thinner than
a skin depth at any frequency. Only when it is a few nanometers thick
(depending on material but not on the frequency), its reflectivity and
transmittivity get equal, while its absorption peaks at 50%. It has been
confirmed experimentally and new directions and applications were proposed. We
review the EM theory of the phenomenon and recent developments in the field,
and present some new results.
| physics.optics | it was predicted long ago that ultrathin metallic films must exhibit unusual optical properties for radiation frequencies from rf to infrared domain a film would remain highly reflective even when it is orders of magnitude thinner than a skin depth at any frequency only when it is a few nanometers thick depending on material but not on the frequency its reflectivity and transmittivity get equal while its absorption peaks at 50 it has been confirmed experimentally and new directions and applications were proposed we review the em theory of the phenomenon and recent developments in the field and present some new results | [['it', 'was', 'predicted', 'long', 'ago', 'that', 'ultrathin', 'metallic', 'films', 'must', 'exhibit', 'unusual', 'optical', 'properties', 'for', 'radiation', 'frequencies', 'from', 'rf', 'to', 'infrared', 'domain', 'a', 'film', 'would', 'remain', 'highly', 'reflective', 'even', 'when', 'it', 'is', 'orders', 'of', 'magnitude', 'thinner', 'than', 'a', 'skin', 'depth', 'at', 'any', 'frequency', 'only', 'when', 'it', 'is', 'a', 'few', 'nanometers', 'thick', 'depending', 'on', 'material', 'but', 'not', 'on', 'the', 'frequency', 'its', 'reflectivity', 'and', 'transmittivity', 'get', 'equal', 'while', 'its', 'absorption', 'peaks', 'at', '50', 'it', 'has', 'been', 'confirmed', 'experimentally', 'and', 'new', 'directions', 'and', 'applications', 'were', 'proposed', 'we', 'review', 'the', 'em', 'theory', 'of', 'the', 'phenomenon', 'and', 'recent', 'developments', 'in', 'the', 'field', 'and', 'present', 'some', 'new', 'results']] | [-0.07952227808909454, 0.172209851539639, -0.06104679648563558, -0.00035792932270423453, -0.09516026258842983, -0.14868616782512298, 0.03907988511377434, 0.48822823785902825, -0.22401486524362482, -0.3018140158542961, 0.13733347428633885, -0.30368922541246696, -0.11919539045158993, 0.26110182869403314, -0.025837018793704463, 0.019141438810680377, 0.003732043400625972, -0.0018525554561147502, -0.047125299759072196, -0.2374174712572758, 0.2340433520776238, 0.04718912387062458, 0.30242323888666633, 0.10120161240189976, 0.07909210875867774, -0.044391082257361096, 0.04319001249877699, 0.02614208993812402, -0.12826295181067132, 0.0574826406789761, 0.2260656320654294, -0.013247970621758962, 0.24456694632124923, -0.43990284010914027, -0.2529585861016576, 0.03239923731570004, 0.1343440884477733, 0.13347983342257566, -0.04194229047211325, -0.240014756774055, 0.10577792819479809, -0.11629738926193585, -0.14749037759953781, -0.05469659924068872, 0.07705882761065903, -0.029231014379012564, -0.18968037876081378, 0.04108309922580078, 0.06247429134251148, 0.0900119131981103, -0.05543299813928338, -0.14190243384983464, -0.0030614691512549624, 0.05194046868150597, 0.06783967474749421, 0.031676428296658045, 0.15548910358098939, -0.1339254083349278, -0.05360471946643848, 0.35188651370688107, -0.02163516739660825, -0.0730826373252842, 0.21952051066282188, -0.21147548615494194, -0.028709130589941553, 0.20051726919608007, 0.09409852706206341, 0.1406474128073337, -0.10975160377069294, 0.037993999707681476, -0.024009770448958755, 0.2336697243838845, 0.15048133664965338, 0.09868880055899568, 0.24502830523267097, 0.19428499238839483, 0.032826503355275184, 0.10499865910741409, -0.12332191788956669, 0.02931278485430441, -0.21253119059381823, -0.12098573238187123, -0.1871024164572066, 0.05030471551721098, -0.04569934775031916, -0.15180965908346514, 0.40946216004736286, 0.15284541503562793, 0.15992370505324183, -0.013487978427506545, 0.31272562669005755, 0.10711632938325114, 0.1326316420545838, 0.048025803996578735, 0.32840320696813446, 0.1278873219853267, 0.13175408061201155, -0.145369874090915, 0.10197541341254049, -0.051471088300733006] |
1,803.02438 | Quantum Process Identification: A Method for Characterizing
Non-Markovian Quantum Dynamics | Established methods for characterizing quantum information processes do not
capture non-Markovian (history-dependent) behaviors that occur in real systems.
These methods model a quantum process as a fixed map on the state space of a
predefined system of interest. Such a map averages over the system's
environment, which may retain some effect of its past interactions with the
system and thus have a history-dependent influence on the system. Although the
theory of non-Markovian quantum dynamics is currently an active area of
research, a systematic characterization method based on a general
representation of non-Markovian dynamics has been lacking.
In this article we present a systematic method for experimentally
characterizing the dynamics of open quantum systems. Our method, which we call
quantum process identification (QPI), is based on a general theoretical
framework which relates the (non-Markovian) evolution of a system over an
extended period of time to a time-local (Markovian) process involving the
system and an effective environment. In practical terms, QPI uses time-resolved
tomographic measurements of a quantum system to construct a dynamical model
with as many dynamical variables as are necessary to reproduce the evolution of
the system. Through numerical simulations, we demonstrate that QPI can be used
to characterize qubit operations with non-Markovian errors arising from
realistic dynamics including control drift, coherent leakage, and coherent
interaction with material impurities.
| quant-ph | established methods for characterizing quantum information processes do not capture nonmarkovian historydependent behaviors that occur in real systems these methods model a quantum process as a fixed map on the state space of a predefined system of interest such a map averages over the systems environment which may retain some effect of its past interactions with the system and thus have a historydependent influence on the system although the theory of nonmarkovian quantum dynamics is currently an active area of research a systematic characterization method based on a general representation of nonmarkovian dynamics has been lacking in this article we present a systematic method for experimentally characterizing the dynamics of open quantum systems our method which we call quantum process identification qpi is based on a general theoretical framework which relates the nonmarkovian evolution of a system over an extended period of time to a timelocal markovian process involving the system and an effective environment in practical terms qpi uses timeresolved tomographic measurements of a quantum system to construct a dynamical model with as many dynamical variables as are necessary to reproduce the evolution of the system through numerical simulations we demonstrate that qpi can be used to characterize qubit operations with nonmarkovian errors arising from realistic dynamics including control drift coherent leakage and coherent interaction with material impurities | [['established', 'methods', 'for', 'characterizing', 'quantum', 'information', 'processes', 'do', 'not', 'capture', 'nonmarkovian', 'historydependent', 'behaviors', 'that', 'occur', 'in', 'real', 'systems', 'these', 'methods', 'model', 'a', 'quantum', 'process', 'as', 'a', 'fixed', 'map', 'on', 'the', 'state', 'space', 'of', 'a', 'predefined', 'system', 'of', 'interest', 'such', 'a', 'map', 'averages', 'over', 'the', 'systems', 'environment', 'which', 'may', 'retain', 'some', 'effect', 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1,803.02439 | Microscopic dynamical Casimir effect | We consider an atom in its ground state undergoing a non-relativistic
oscillation in free space. The interaction with the electromagnetic quantum
vacuum leads to two effects to leading order in perturbation theory. When the
mechanical frequency is larger than the atomic transition frequency, the
dominant effect is the motion-induced transition to an excited state with the
emission of a photon carrying the excess energy. We compute the angular
distribution of emitted photons and the excitation rate. On the other hand,
when the mechanical frequency is smaller than the transition frequency, the
leading-order effect is the parametric emission of photon pairs, which
constitutes the microscopic counterpart of the dynamical Casimir effect. We
discuss the properties of the microscopic dynamical Casimir effect and build a
connection with the photon production by an oscillating macroscopic metallic
mirror.
| quant-ph physics.atom-ph | we consider an atom in its ground state undergoing a nonrelativistic oscillation in free space the interaction with the electromagnetic quantum vacuum leads to two effects to leading order in perturbation theory when the mechanical frequency is larger than the atomic transition frequency the dominant effect is the motioninduced transition to an excited state with the emission of a photon carrying the excess energy we compute the angular distribution of emitted photons and the excitation rate on the other hand when the mechanical frequency is smaller than the transition frequency the leadingorder effect is the parametric emission of photon pairs which constitutes the microscopic counterpart of the dynamical casimir effect we discuss the properties of the microscopic dynamical casimir effect and build a connection with the photon production by an oscillating macroscopic metallic mirror | [['we', 'consider', 'an', 'atom', 'in', 'its', 'ground', 'state', 'undergoing', 'a', 'nonrelativistic', 'oscillation', 'in', 'free', 'space', 'the', 'interaction', 'with', 'the', 'electromagnetic', 'quantum', 'vacuum', 'leads', 'to', 'two', 'effects', 'to', 'leading', 'order', 'in', 'perturbation', 'theory', 'when', 'the', 'mechanical', 'frequency', 'is', 'larger', 'than', 'the', 'atomic', 'transition', 'frequency', 'the', 'dominant', 'effect', 'is', 'the', 'motioninduced', 'transition', 'to', 'an', 'excited', 'state', 'with', 'the', 'emission', 'of', 'a', 'photon', 'carrying', 'the', 'excess', 'energy', 'we', 'compute', 'the', 'angular', 'distribution', 'of', 'emitted', 'photons', 'and', 'the', 'excitation', 'rate', 'on', 'the', 'other', 'hand', 'when', 'the', 'mechanical', 'frequency', 'is', 'smaller', 'than', 'the', 'transition', 'frequency', 'the', 'leadingorder', 'effect', 'is', 'the', 'parametric', 'emission', 'of', 'photon', 'pairs', 'which', 'constitutes', 'the', 'microscopic', 'counterpart', 'of', 'the', 'dynamical', 'casimir', 'effect', 'we', 'discuss', 'the', 'properties', 'of', 'the', 'microscopic', 'dynamical', 'casimir', 'effect', 'and', 'build', 'a', 'connection', 'with', 'the', 'photon', 'production', 'by', 'an', 'oscillating', 'macroscopic', 'metallic', 'mirror']] | [-0.14822593486499486, 0.24839142751617188, -0.08738064840296979, 0.04967896927234112, -0.059545959287571525, -0.0716947212540753, 0.017041390426387425, 0.3413509582377859, -0.2256452700665304, -0.27270428292842497, 0.006029148107401526, -0.33261464570940874, -0.05565857142210007, 0.16661802712661117, 0.059504387594425855, 0.02109699968863044, -0.0017619074770569133, 0.07238057272772846, -0.0509487755402033, -0.1079468578082829, 0.34996441629743064, 0.08942834384054807, 0.3017372591090875, 0.058875323485221655, 0.08675282226819823, 0.0022824991358888908, 0.054204638479642374, -0.04467882516245712, -0.10911727045773904, 0.07759318865641061, 0.16854071513091132, -0.0042424763313063715, 0.22704463800304195, -0.4214607574420967, -0.1885456734001567, 0.11621197621484022, 0.10481388284824789, 0.17116794640931593, -0.03590299259721816, -0.283841169390605, -0.029672747735045295, -0.18926698580356455, -0.14573359083203571, -0.00822383560129066, 0.024045908840984773, -0.030555552194840206, -0.24406832705404777, 0.1110032732118922, 0.03827979153242838, 0.02536454493242469, -0.06700585390104037, -0.047041587281360556, -0.03669472859560776, 0.09957845178788959, 0.058571265533448325, 0.0157886415845089, 0.1967385174539774, -0.15022460470295776, -0.12047813717387061, 0.41042102803085206, -0.10109297228553993, -0.16240448657590062, 0.1610150726498174, -0.20956860941403838, -0.031000634343467597, 0.1846534433434092, 0.1161701526508472, 0.09212752702296712, -0.11072821118942733, 0.032277823612615185, 0.06012969415412465, 0.20013931846600583, 0.057193894241588994, 0.11948675029813799, 0.22801811591402363, 0.1695184199427908, 0.02354372744865493, 0.20066117824997, -0.13751794303482426, -0.1136534031490976, -0.3032584023147599, -0.1282149557052041, -0.1971320443258468, 0.09814310347689177, -0.06249843662269779, -0.17595959714711157, 0.38949082483565295, 0.133422769547037, 0.17068106015977352, -0.006181728038346089, 0.32987442298152886, 0.20073537408971964, 0.04538672087964282, 0.022182081512404857, 0.3528810186457556, 0.1633664862506453, 0.05694443983053649, -0.3358857626905109, 0.0056349151705238805, 0.024119818458027804] |
1,803.0244 | A shift map with a discontinuous entropy function | Let $f:X\to X$ be a continuous map on a compact metric space with finite
topological entropy. Further, we assume that the entropy map $\mu\mapsto
h_\mu(f)$ is upper semi-continuous. It is well-known that this implies the
continuity of the localized entropy function of a given continuous potential
$\phi:X\to R$. In this note we show that this result does not carry over to the
case of higher-dimensional potentials $\Phi:X\to R^m$. Namely, we construct for
a shift map $f$ a $2$-dimensional Lipschitz continuous potential $\Phi$ with a
discontinuous localized entropy function.
| math.DS | let fxto x be a continuous map on a compact metric space with finite topological entropy further we assume that the entropy map mumapsto h_muf is upper semicontinuous it is wellknown that this implies the continuity of the localized entropy function of a given continuous potential phixto r in this note we show that this result does not carry over to the case of higherdimensional potentials phixto rm namely we construct for a shift map f a 2dimensional lipschitz continuous potential phi with a discontinuous localized entropy function | [['let', 'fxto', 'x', 'be', 'a', 'continuous', 'map', 'on', 'a', 'compact', 'metric', 'space', 'with', 'finite', 'topological', 'entropy', 'further', 'we', 'assume', 'that', 'the', 'entropy', 'map', 'mumapsto', 'h_muf', 'is', 'upper', 'semicontinuous', 'it', 'is', 'wellknown', 'that', 'this', 'implies', 'the', 'continuity', 'of', 'the', 'localized', 'entropy', 'function', 'of', 'a', 'given', 'continuous', 'potential', 'phixto', 'r', 'in', 'this', 'note', 'we', 'show', 'that', 'this', 'result', 'does', 'not', 'carry', 'over', 'to', 'the', 'case', 'of', 'higherdimensional', 'potentials', 'phixto', 'rm', 'namely', 'we', 'construct', 'for', 'a', 'shift', 'map', 'f', 'a', '2dimensional', 'lipschitz', 'continuous', 'potential', 'phi', 'with', 'a', 'discontinuous', 'localized', 'entropy', 'function']] | [-0.16124920755497774, 0.1141429326407061, -0.12789692439731548, 0.04759754934506914, -0.048535824118351396, -0.125312643813562, 0.04916679652788761, 0.36834730149712414, -0.32466781355271285, -0.11352965465365825, 0.06765674504276831, -0.2766015082068572, -0.15669120657681065, 0.18855210352392698, -0.11486873346042227, 0.023187583407641134, 0.00619120144454593, 0.09897124377841299, -0.14762674147443083, -0.21316077125216412, 0.3637403285511854, -0.068699019103819, 0.21187443038533357, 0.09521573883036828, 0.13004524071319876, -0.009800459231800314, 0.027988166802308777, 0.054080025147083106, -0.1967651664731007, 0.10346957217817279, 0.22594551879658617, 0.12017675983952358, 0.26639182899485936, -0.29749739280404436, -0.26820309823167254, 0.255824467130217, 0.06453402645208618, -0.0024731917814774947, -0.06660223454475106, -0.25785778848909435, 0.11343720446298407, -0.16312993455159647, -0.11676735688127916, -0.07709949539805, 0.08452712524343621, 0.008799457012421706, -0.31750664105427195, 0.06724583273965189, 0.12854164660992948, 0.04183949871664729, -0.08130023707847366, -0.016184590889183295, -0.1184108517111533, 0.04484998179726641, -0.028229911414779384, 0.21688017120521347, 0.10378164665202018, -0.024917279060570185, -0.04690063591326841, 0.30717218544503505, -0.16293328018351036, -0.28667334420606494, 0.1749120163598987, -0.18566432007884776, -0.1522050215651027, 0.09973460374484686, 0.12314142116916958, 0.1613161118637601, -0.08055465582054405, 0.207080628617074, -0.09573806864897381, 0.19692170902536335, 0.03903961178465662, 0.008084514130711217, 0.16903995705334554, 0.06906408729264513, 0.19239650283138457, 0.2005764397578208, -0.01392018814327788, -0.03297149552434513, -0.38149646096413065, -0.2062632453135765, -0.2016654678472233, 0.14589646751532695, -0.08248165501704947, -0.23274514894001186, 0.34516403876345564, 0.07981685223587026, 0.22160529863851314, 0.1228137049051425, 0.22859338677318936, 0.16148263281370004, 0.015580048562366177, 0.07327162509847601, 0.1409218190661208, 0.12094653475585139, 0.046044520090535196, -0.14507123684531756, -0.006941462512424385, 0.1550813729938289] |
1,803.02441 | Optimal Placement of Relay Nodes in Wireless Sensor Network Using
Artificial Bee Colony Algorithm | Deploying sensor nodes randomly most of the time generates initial
communication hole even in highly dense networks. These communication holes
cannot be totally eliminated even when the deployment is done in a structured
manner. In either case, the resulting inter-node distances may degrade the
performance of the network. This paper proposes an enhanced deployment
algorithm based on Artificial Bees Colony (ABC). The ABC-based deployment is
guaranteed to extend the lifetime by optimizing the network parameters and
constraining the total number of deployed relays. Simulations validate the
effectiveness of the proposed strategy under different cases of problem
complexity. Results show that the proposed approach improves the network
lifetime considerably when compared to solutions reported in the literature
such as Shortest Path 3-D grid Deployment (SP3D) algorithm.
Keywords: Artificial Bee Colony, Wiener index, optimization, relay nodes,
Laplacian matrix, connected graph, vertex, edge, average distance, Laplacian
matrix, Shortest Path 3-D grid Deployment, ABC, SP3D, RNs/CHs, ILDCC, SPRN,
O3DwLC, algorithm, approach, single objective, multi objective, eigenvalue,
First Phase Relay Nodes, NP-Hard, Deployment, proposed, second phase relay
nodes, Ideal Media Access Control, cluster head, Minimum Spanning Tree,
non-deterministic polynomial-time hard, two-layer hierarchical structure,
Optimized 3-D deployment with Lifetime Constraints, flux, Wireless Sensor
Network, size, Lifetime, Network load, number of nodes using packets,
Connectivity, two layered, protocols, collision and interference.
| cs.NI | deploying sensor nodes randomly most of the time generates initial communication hole even in highly dense networks these communication holes cannot be totally eliminated even when the deployment is done in a structured manner in either case the resulting internode distances may degrade the performance of the network this paper proposes an enhanced deployment algorithm based on artificial bees colony abc the abcbased deployment is guaranteed to extend the lifetime by optimizing the network parameters and constraining the total number of deployed relays simulations validate the effectiveness of the proposed strategy under different cases of problem complexity results show that the proposed approach improves the network lifetime considerably when compared to solutions reported in the literature such as shortest path 3d grid deployment sp3d algorithm keywords artificial bee colony wiener index optimization relay nodes laplacian matrix connected graph vertex edge average distance laplacian matrix shortest path 3d grid deployment abc sp3d rnschs ildcc sprn o3dwlc algorithm approach single objective multi objective eigenvalue first phase relay nodes nphard deployment proposed second phase relay nodes ideal media access control cluster head minimum spanning tree nondeterministic polynomialtime hard twolayer hierarchical structure optimized 3d deployment with lifetime constraints flux wireless sensor network size lifetime network load number of nodes using packets connectivity two layered protocols collision and interference | [['deploying', 'sensor', 'nodes', 'randomly', 'most', 'of', 'the', 'time', 'generates', 'initial', 'communication', 'hole', 'even', 'in', 'highly', 'dense', 'networks', 'these', 'communication', 'holes', 'can', 'not', 'be', 'totally', 'eliminated', 'even', 'when', 'the', 'deployment', 'is', 'done', 'in', 'a', 'structured', 'manner', 'in', 'either', 'case', 'the', 'resulting', 'internode', 'distances', 'may', 'degrade', 'the', 'performance', 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1,803.02442 | Underwater Optical Wireless Communications, Networking, and
Localization: A Survey | Underwater wireless communications can be carried out through acoustic, radio
frequency (RF), and optical waves. Compared to its bandwidth limited acoustic
and RF counterparts, underwater optical wireless communications (UOWCs) can
support higher data rates at low latency levels. However, severe aquatic
channel conditions (e.g., absorption, scattering, turbulence, etc.) pose great
challenges for UOWCs and significantly reduce the attainable communication
ranges, which necessitates efficient networking and localization solutions.
Therefore, we provide a comprehensive survey on the challenges, advances, and
prospects of underwater optical wireless networks (UOWNs) from a layer by layer
perspective which includes: 1) Potential network architectures; 2) Physical
layer issues including propagation characteristics, channel modeling, and
modulation techniques 3) Data link layer problems covering link configurations,
link budgets, performance metrics, and multiple access schemes; 4) Network
layer topics containing relaying techniques and potential routing algorithms;
5) Transport layer subjects such as connectivity, reliability, flow and
congestion control; 6) Application layer goals and state-of-the-art UOWN
applications, and 7) Localization and its impacts on UOWN layers. Finally, we
outline the open research challenges and point out the future directions for
underwater optical wireless communications, networking, and localization
research.
| cs.NI | underwater wireless communications can be carried out through acoustic radio frequency rf and optical waves compared to its bandwidth limited acoustic and rf counterparts underwater optical wireless communications uowcs can support higher data rates at low latency levels however severe aquatic channel conditions eg absorption scattering turbulence etc pose great challenges for uowcs and significantly reduce the attainable communication ranges which necessitates efficient networking and localization solutions therefore we provide a comprehensive survey on the challenges advances and prospects of underwater optical wireless networks uowns from a layer by layer perspective which includes 1 potential network architectures 2 physical layer issues including propagation characteristics channel modeling and modulation techniques 3 data link layer problems covering link configurations link budgets performance metrics and multiple access schemes 4 network layer topics containing relaying techniques and potential routing algorithms 5 transport layer subjects such as connectivity reliability flow and congestion control 6 application layer goals and stateoftheart uown applications and 7 localization and its impacts on uown layers finally we outline the open research challenges and point out the future directions for underwater optical wireless communications networking and localization research | [['underwater', 'wireless', 'communications', 'can', 'be', 'carried', 'out', 'through', 'acoustic', 'radio', 'frequency', 'rf', 'and', 'optical', 'waves', 'compared', 'to', 'its', 'bandwidth', 'limited', 'acoustic', 'and', 'rf', 'counterparts', 'underwater', 'optical', 'wireless', 'communications', 'uowcs', 'can', 'support', 'higher', 'data', 'rates', 'at', 'low', 'latency', 'levels', 'however', 'severe', 'aquatic', 'channel', 'conditions', 'eg', 'absorption', 'scattering', 'turbulence', 'etc', 'pose', 'great', 'challenges', 'for', 'uowcs', 'and', 'significantly', 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1,803.02443 | The N-Player Trust Game and its Replicator Dynamics | Trust is a fundamental concept that underpins the coherence and resilience of
social systems and shapes human behavior. Despite the importance of trust as a
social and psychological concept, the concept has not gained much attention
from evolutionary game theorists. In this paper, an N-player trust-based social
dilemma game is introduced. While the theory shows that a society with no
untrustworthy individuals would yield maximum wealth to both the society as a
whole and the individuals in the long run, evolutionary dynamics show this
ideal situation is reached only in a special case when the initial population
contains no untrustworthy individuals. When the initial population consists of
even the slightest number of untrustworthy individuals, the society converges
to zero trusters, with many untrustworthy individuals. The promotion of trust
is an uneasy task, despite the fact that a combination of trusters and
trustworthy trustees is the most rational and optimal social state. This paper
presents the game and results of replicator dynamics in a hope that researchers
in evolutionary games see opportunities in filling this critical gap in the
literature.
| physics.soc-ph | trust is a fundamental concept that underpins the coherence and resilience of social systems and shapes human behavior despite the importance of trust as a social and psychological concept the concept has not gained much attention from evolutionary game theorists in this paper an nplayer trustbased social dilemma game is introduced while the theory shows that a society with no untrustworthy individuals would yield maximum wealth to both the society as a whole and the individuals in the long run evolutionary dynamics show this ideal situation is reached only in a special case when the initial population contains no untrustworthy individuals when the initial population consists of even the slightest number of untrustworthy individuals the society converges to zero trusters with many untrustworthy individuals the promotion of trust is an uneasy task despite the fact that a combination of trusters and trustworthy trustees is the most rational and optimal social state this paper presents the game and results of replicator dynamics in a hope that researchers in evolutionary games see opportunities in filling this critical gap in the literature | [['trust', 'is', 'a', 'fundamental', 'concept', 'that', 'underpins', 'the', 'coherence', 'and', 'resilience', 'of', 'social', 'systems', 'and', 'shapes', 'human', 'behavior', 'despite', 'the', 'importance', 'of', 'trust', 'as', 'a', 'social', 'and', 'psychological', 'concept', 'the', 'concept', 'has', 'not', 'gained', 'much', 'attention', 'from', 'evolutionary', 'game', 'theorists', 'in', 'this', 'paper', 'an', 'nplayer', 'trustbased', 'social', 'dilemma', 'game', 'is', 'introduced', 'while', 'the', 'theory', 'shows', 'that', 'a', 'society', 'with', 'no', 'untrustworthy', 'individuals', 'would', 'yield', 'maximum', 'wealth', 'to', 'both', 'the', 'society', 'as', 'a', 'whole', 'and', 'the', 'individuals', 'in', 'the', 'long', 'run', 'evolutionary', 'dynamics', 'show', 'this', 'ideal', 'situation', 'is', 'reached', 'only', 'in', 'a', 'special', 'case', 'when', 'the', 'initial', 'population', 'contains', 'no', 'untrustworthy', 'individuals', 'when', 'the', 'initial', 'population', 'consists', 'of', 'even', 'the', 'slightest', 'number', 'of', 'untrustworthy', 'individuals', 'the', 'society', 'converges', 'to', 'zero', 'trusters', 'with', 'many', 'untrustworthy', 'individuals', 'the', 'promotion', 'of', 'trust', 'is', 'an', 'uneasy', 'task', 'despite', 'the', 'fact', 'that', 'a', 'combination', 'of', 'trusters', 'and', 'trustworthy', 'trustees', 'is', 'the', 'most', 'rational', 'and', 'optimal', 'social', 'state', 'this', 'paper', 'presents', 'the', 'game', 'and', 'results', 'of', 'replicator', 'dynamics', 'in', 'a', 'hope', 'that', 'researchers', 'in', 'evolutionary', 'games', 'see', 'opportunities', 'in', 'filling', 'this', 'critical', 'gap', 'in', 'the', 'literature']] | [-0.13028669227894638, 0.08178268260724374, -0.11766557163548377, 0.0893095636873185, -0.10224317879768582, -0.156128023027595, 0.10089884395119182, 0.3610655297183216, -0.2397171795495791, -0.28904209808199166, 0.06234640384284979, -0.28361160023069526, -0.22026755812178014, 0.1069905728017543, -0.1513345079854299, -0.0158604919011994, 0.10073718506485055, 0.08219213875294742, 0.08359296487165499, -0.2953093234708764, 0.32213812024400984, 0.038253768673429715, 0.29007902335754393, 0.05156620357206649, 0.08823991880625866, 0.006615014165366268, -0.006103136824012476, 0.044121077767636435, -0.10526060881925152, 0.126681864319506, 0.34673957807396005, 0.21446520833582697, 0.4702896736457018, -0.3816188631400382, -0.16907181097296498, 0.14244948534063448, 0.15134610086850464, 0.1366045005437997, -0.0408683302075639, -0.2856471402804751, 0.05963366102732423, -0.21632460970957737, -0.1211452885494057, 0.0032917718767414743, 0.03111033023619172, 0.004595993903247208, -0.2331595967897335, 0.021340064351225936, 0.050106036072954704, 0.11616690793616624, -0.01662806883759502, -0.11875191150433094, -0.031751491763434336, 0.2078501952981108, 0.08174044941288898, -0.009224928228189842, 0.14132440191204265, -0.2133228961839722, -0.1581156460836656, 0.3977997092067101, 0.008315189687619354, -0.141489220469385, 0.19386342522493527, -0.10634459884269006, -0.13012487126914205, 0.07508729675345355, 0.1524637035320455, 0.05381930263786666, -0.1615007970895484, 0.04575385793742308, -0.07822611100845418, 0.20019563272566465, 0.026947793711271494, 0.018922226236459647, 0.18053201586008072, 0.2155510894401725, 0.13161366066394248, 0.06372879544341421, 0.03200071562662994, -0.19623563943778055, -0.207910421788482, -0.14580639676088308, -0.17366045981903408, 0.0720666663900924, -0.09495266922165858, -0.14627144331017794, 0.3654530097619962, 0.15707309554609875, 0.13822646663487378, 0.07050339929038649, 0.2557132429072349, 0.03809610270437295, 0.02243717644090033, 0.08477683401617911, 0.2168747453166351, 0.04513087095745371, 0.19762883268133605, -0.19608050996587628, 0.19021063005699024, -0.008617752136946735] |
1,803.02444 | Analytical Modeling of Wi-Fi and LTE-LAA Coexistence: Throughput and
Impact of Energy Detection Threshold | With both small-cell LTE and Wi-Fi networks available as alternatives for
deployment in unlicensed bands (notably 5 GHz), the investigation into their
coexistence is a topic of active interest, primarily driven by industry groups.
3GPP has recently standardized LTE Licensed Assisted Access (LTE-LAA) that
seeks to make LTE more co-existence friendly with Wi-Fi by incorporating
similar sensing and back-off features. Nonetheless, the results presented by
industry groups offer little consensus on important issues like respective
network parameter settings that promote "fair access" as required by 3GPP.
Answers to such key system deployment aspects, in turn, require credible
analytical models, on which there has been little progress to date.
Accordingly, in one of the first work of its kind, we develop a new framework
for estimating the throughput of Wi-Fi and LTE-LAA in coexistence scenarios via
suitable modifications to the celebrated Bianchi \cite{Bianchi} model. The
impact of various network parameters such as energy detection (ED) threshold on
Wi-Fi and LTE-LAA coexistence is explored as a byproduct and corroborated via a
National Instrument (NI) experimental testbed that validates the results for
LTE-LAA access priority class 1 and 3.
| cs.NI | with both smallcell lte and wifi networks available as alternatives for deployment in unlicensed bands notably 5 ghz the investigation into their coexistence is a topic of active interest primarily driven by industry groups 3gpp has recently standardized lte licensed assisted access ltelaa that seeks to make lte more coexistence friendly with wifi by incorporating similar sensing and backoff features nonetheless the results presented by industry groups offer little consensus on important issues like respective network parameter settings that promote fair access as required by 3gpp answers to such key system deployment aspects in turn require credible analytical models on which there has been little progress to date accordingly in one of the first work of its kind we develop a new framework for estimating the throughput of wifi and ltelaa in coexistence scenarios via suitable modifications to the celebrated bianchi citebianchi model the impact of various network parameters such as energy detection ed threshold on wifi and ltelaa coexistence is explored as a byproduct and corroborated via a national instrument ni experimental testbed that validates the results for ltelaa access priority class 1 and 3 | [['with', 'both', 'smallcell', 'lte', 'and', 'wifi', 'networks', 'available', 'as', 'alternatives', 'for', 'deployment', 'in', 'unlicensed', 'bands', 'notably', '5', 'ghz', 'the', 'investigation', 'into', 'their', 'coexistence', 'is', 'a', 'topic', 'of', 'active', 'interest', 'primarily', 'driven', 'by', 'industry', 'groups', '3gpp', 'has', 'recently', 'standardized', 'lte', 'licensed', 'assisted', 'access', 'ltelaa', 'that', 'seeks', 'to', 'make', 'lte', 'more', 'coexistence', 'friendly', 'with', 'wifi', 'by', 'incorporating', 'similar', 'sensing', 'and', 'backoff', 'features', 'nonetheless', 'the', 'results', 'presented', 'by', 'industry', 'groups', 'offer', 'little', 'consensus', 'on', 'important', 'issues', 'like', 'respective', 'network', 'parameter', 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1,803.02445 | Linear networks based speaker adaptation for speech synthesis | Speaker adaptation methods aim to create fair quality synthesis speech voice
font for target speakers while only limited resources available. Recently, as
deep neural networks based statistical parametric speech synthesis (SPSS)
methods become dominant in SPSS TTS back-end modeling, speaker adaptation under
the neural network based SPSS framework has also became an important task. In
this paper, linear networks (LN) is inserted in multiple neural network layers
and fine-tuned together with output layer for best speaker adaptation
performance. When adaptation data is extremely small, the low-rank plus
diagonal(LRPD) decomposition for LN is employed to make the adapted voice more
stable. Speaker adaptation experiments are conducted under a range of
adaptation utterances numbers. Moreover, speaker adaptation from 1) female to
female, 2) male to female and 3) female to male are investigated. Objective
measurement and subjective tests show that LN with LRPD decomposition performs
most stable when adaptation data is extremely limited, and our best speaker
adaptation (SA) model with only 200 adaptation utterances achieves comparable
quality with speaker dependent (SD) model trained with 1000 utterances, in both
naturalness and similarity to target speaker.
| eess.AS cs.SD | speaker adaptation methods aim to create fair quality synthesis speech voice font for target speakers while only limited resources available recently as deep neural networks based statistical parametric speech synthesis spss methods become dominant in spss tts backend modeling speaker adaptation under the neural network based spss framework has also became an important task in this paper linear networks ln is inserted in multiple neural network layers and finetuned together with output layer for best speaker adaptation performance when adaptation data is extremely small the lowrank plus diagonallrpd decomposition for ln is employed to make the adapted voice more stable speaker adaptation experiments are conducted under a range of adaptation utterances numbers moreover speaker adaptation from 1 female to female 2 male to female and 3 female to male are investigated objective measurement and subjective tests show that ln with lrpd decomposition performs most stable when adaptation data is extremely limited and our best speaker adaptation sa model with only 200 adaptation utterances achieves comparable quality with speaker dependent sd model trained with 1000 utterances in both naturalness and similarity to target speaker | [['speaker', 'adaptation', 'methods', 'aim', 'to', 'create', 'fair', 'quality', 'synthesis', 'speech', 'voice', 'font', 'for', 'target', 'speakers', 'while', 'only', 'limited', 'resources', 'available', 'recently', 'as', 'deep', 'neural', 'networks', 'based', 'statistical', 'parametric', 'speech', 'synthesis', 'spss', 'methods', 'become', 'dominant', 'in', 'spss', 'tts', 'backend', 'modeling', 'speaker', 'adaptation', 'under', 'the', 'neural', 'network', 'based', 'spss', 'framework', 'has', 'also', 'became', 'an', 'important', 'task', 'in', 'this', 'paper', 'linear', 'networks', 'ln', 'is', 'inserted', 'in', 'multiple', 'neural', 'network', 'layers', 'and', 'finetuned', 'together', 'with', 'output', 'layer', 'for', 'best', 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1,803.02446 | Categorical Mixture Models on VGGNet activations | In this project, I use unsupervised learning techniques in order to cluster a
set of yelp restaurant photos under meaningful topics. In order to do this, I
extract layer activations from a pre-trained implementation of the popular
VGGNet convolutional neural network. First, I explore using LDA with the
activations of convolutional layers as features. Secondly, I explore using the
object-recognition powers of VGGNet trained on ImageNet in order to extract
meaningful objects from the photos, and then perform LDA to group the photos
under topic-archetypes. I find that this second approach finds meaningful
archetypes, which match the human intuition for photo topics such as
restaurant, food, and drinks. Furthermore, these clusters align well and
distinctly with the actual yelp photo labels.
| cs.CV | in this project i use unsupervised learning techniques in order to cluster a set of yelp restaurant photos under meaningful topics in order to do this i extract layer activations from a pretrained implementation of the popular vggnet convolutional neural network first i explore using lda with the activations of convolutional layers as features secondly i explore using the objectrecognition powers of vggnet trained on imagenet in order to extract meaningful objects from the photos and then perform lda to group the photos under topicarchetypes i find that this second approach finds meaningful archetypes which match the human intuition for photo topics such as restaurant food and drinks furthermore these clusters align well and distinctly with the actual yelp photo labels | [['in', 'this', 'project', 'i', 'use', 'unsupervised', 'learning', 'techniques', 'in', 'order', 'to', 'cluster', 'a', 'set', 'of', 'yelp', 'restaurant', 'photos', 'under', 'meaningful', 'topics', 'in', 'order', 'to', 'do', 'this', 'i', 'extract', 'layer', 'activations', 'from', 'a', 'pretrained', 'implementation', 'of', 'the', 'popular', 'vggnet', 'convolutional', 'neural', 'network', 'first', 'i', 'explore', 'using', 'lda', 'with', 'the', 'activations', 'of', 'convolutional', 'layers', 'as', 'features', 'secondly', 'i', 'explore', 'using', 'the', 'objectrecognition', 'powers', 'of', 'vggnet', 'trained', 'on', 'imagenet', 'in', 'order', 'to', 'extract', 'meaningful', 'objects', 'from', 'the', 'photos', 'and', 'then', 'perform', 'lda', 'to', 'group', 'the', 'photos', 'under', 'topicarchetypes', 'i', 'find', 'that', 'this', 'second', 'approach', 'finds', 'meaningful', 'archetypes', 'which', 'match', 'the', 'human', 'intuition', 'for', 'photo', 'topics', 'such', 'as', 'restaurant', 'food', 'and', 'drinks', 'furthermore', 'these', 'clusters', 'align', 'well', 'and', 'distinctly', 'with', 'the', 'actual', 'yelp', 'photo', 'labels']] | [0.050545769958842954, -0.00809143137327638, -0.044244580299538726, 0.08207165303996161, -0.14006849589827078, -0.16651453049618656, 0.06270103611271172, 0.4633814262914933, -0.30427277435650346, -0.33775079485905524, 0.03685916649537677, -0.35769855531574296, -0.19619664158955796, 0.10885857250404489, -0.0909853103818145, 0.027653845453619205, 0.1228908054186266, 0.10442218466215775, -0.05215123189151475, -0.3158444603357245, 0.3457592471557505, 0.024132506694926434, 0.3136637465355276, -0.021327081790874797, 0.12115878810589555, -0.06351248333778452, -0.0545143429307314, -0.04550703741050474, -0.09518498147109243, 0.17555912304131566, 0.34412849574357646, 0.1764878026648041, 0.3113745520157473, -0.44899658301547796, -0.17465185934771635, 0.030509513998482406, 0.09657637368762444, 0.1001757754476647, 0.014940931644689823, -0.3714443055615455, 0.11394154592691098, -0.20379759875290535, 0.058749459214320704, -0.15205036882827638, -0.021551803826597056, 0.013841207978558265, -0.27610745948168036, 0.04914099002890915, 0.05147184372440317, 0.06454171330135848, -0.036343524533817, -0.14448829688070178, 0.002599309366822493, 0.21445955212439308, 0.042633837558516935, 0.02555640661275061, 0.1631268673427716, -0.23099983745927632, -0.12672038980125755, 0.37886533904977204, -0.04628905373676328, -0.13191788085587636, 0.18154844217503271, -0.028800152343924808, -0.17227002792843, 0.04073809512241298, 0.25192327480058835, 0.10580228770175214, -0.16232100537657237, -0.0383660364284634, -0.09066850572292294, 0.21107182216619244, 0.06297477733876024, -0.021117338568300885, 0.18243494127855533, 0.2262919925098472, -0.028130604515728706, 0.13169053035295186, -0.1472555871861165, -0.029169076662354108, -0.20893142327760197, -0.08401485347431623, -0.18835730600061223, 0.0037413588881555224, -0.10008051908467877, -0.14697848772043126, 0.4269787710426109, 0.2815239509614576, 0.2510542527091603, 0.09500572584009878, 0.30121496451251645, -0.04621166595296461, 0.15590736596696392, 0.10938693920322576, 0.10708089965736071, -0.012549918493209015, 0.15820844202623272, -0.10084500436269005, 0.05307089028285206, 0.08724838740020177] |
1,803.02447 | Triangulation Tracking of a Radially Propagating MHD Wave in the AIA
1600 Acoustic Power Maps in Active Region 12193 | For decades it has been established that the amount of energy released by
solar flares excites the acoustic oscillations propagating on the surface of
the Sun (Wolff 1972). It is believed that these flares can excite velocity
oscillations in active regions, especially those regions where a higher class
solar flare has taken place (Kumar 2006). However, questions arise as to how
the behaviors of acoustic oscillations within such a chaotic environment can
birth other waves of the MHD type. Can we observe such events?
| astro-ph.SR | for decades it has been established that the amount of energy released by solar flares excites the acoustic oscillations propagating on the surface of the sun wolff 1972 it is believed that these flares can excite velocity oscillations in active regions especially those regions where a higher class solar flare has taken place kumar 2006 however questions arise as to how the behaviors of acoustic oscillations within such a chaotic environment can birth other waves of the mhd type can we observe such events | [['for', 'decades', 'it', 'has', 'been', 'established', 'that', 'the', 'amount', 'of', 'energy', 'released', 'by', 'solar', 'flares', 'excites', 'the', 'acoustic', 'oscillations', 'propagating', 'on', 'the', 'surface', 'of', 'the', 'sun', 'wolff', '1972', 'it', 'is', 'believed', 'that', 'these', 'flares', 'can', 'excite', 'velocity', 'oscillations', 'in', 'active', 'regions', 'especially', 'those', 'regions', 'where', 'a', 'higher', 'class', 'solar', 'flare', 'has', 'taken', 'place', 'kumar', '2006', 'however', 'questions', 'arise', 'as', 'to', 'how', 'the', 'behaviors', 'of', 'acoustic', 'oscillations', 'within', 'such', 'a', 'chaotic', 'environment', 'can', 'birth', 'other', 'waves', 'of', 'the', 'mhd', 'type', 'can', 'we', 'observe', 'such', 'events']] | [-0.1432794069849132, 0.26297191494432764, -0.03369621734548543, 0.14401397004257888, -0.09478782082719374, -0.07142591929905825, -0.008232361534499518, 0.3292606891620727, -0.2370263336162593, -0.3627598358850394, 0.09393798016494007, -0.29713165495611193, -0.1386425398578424, 0.270033789266433, -0.04622577592298122, -0.003709898895717093, 0.10112975646431248, 0.005438347025552676, 0.01578412358538203, -0.2050962424282694, 0.21230545819049612, 0.08518813899441045, 0.2438983433946435, -0.039977848319159376, 0.05489697565679394, -0.11224052477129069, 0.021171416433173277, 0.011046987391420685, -0.09105587788092505, 0.02286437748088723, 0.2291758508377132, 0.12457497628028727, 0.26936308025670724, -0.48611347082381445, -0.35906797727303846, 0.07092096698692157, 0.2013262880943893, 0.07013308949812892, -0.050451966802245896, -0.27738749852973604, 0.006758590644624617, -0.12457303129624397, -0.11783534199189273, 0.016257606227771334, 0.0990089153832135, 0.014845621986924448, -0.2334714608621739, 0.11528783402450028, 0.07533262621256567, 0.03632147505413741, -0.07242372984044432, -0.029155956344246597, -0.0818325116443226, 0.1351658629608296, 0.08748159039532766, 0.035054396205980866, 0.15897049522581733, -0.06858497514483697, -0.08749879705941394, 0.371192896328423, -0.03892794231485043, -0.07215509518227052, 0.25354688773707795, -0.20959273368186718, -0.11414460325613618, 0.14333516409775862, 0.18607876393278794, 0.07254439225653186, -0.11626772629097104, 0.04543478439916812, -0.046519896459011806, 0.1024932491792632, 0.11217732720598135, 0.030569815293087492, 0.2724647496416721, 0.1307305782739561, 0.010241067067476078, 0.10491491316532206, -0.18860491024540915, -0.041140294511846844, -0.24138959009932087, -0.06037653270842774, -0.1349875856789627, 0.0793291867012158, 0.019298225702230064, -0.1705117672072014, 0.4313436491259684, 0.1283347706498933, 0.17122964318730824, -0.06646060564422182, 0.22030183073088883, 0.1167957990061647, 0.09888670980165314, 0.13160788259535497, 0.3582463391746084, 0.12914356541919655, 0.16546526801262407, -0.2029453957442283, 0.07858471627003469, 0.08121769042641279] |
1,803.02448 | Stable solutions of symmetric systems involving hypoelliptic operators | Please see the article for the abstract.
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1,803.02449 | Coupled-cluster treatment of molecular strong-field ionization | Ionization rates and Stark shifts of H$_2$, CO, O$_2$, H$_2$O, and CH$_4$ in
static electric fields have been computed with coupled-cluster methods in a
basis set of atom-centered Gaussian functions with complex-scaled exponent.
Consideration of electron correlation is found to be of great importance even
for a qualitatively correct description of the dependence of ionization rates
and Stark shifts on the strength and orientation of the external field. The
analysis of the second moments of the molecular charge distribution suggests a
simple criterion for distinguishing tunnel and barrier suppression ionization
in polyatomic molecules.
| physics.chem-ph | ionization rates and stark shifts of h_2 co o_2 h_2o and ch_4 in static electric fields have been computed with coupledcluster methods in a basis set of atomcentered gaussian functions with complexscaled exponent consideration of electron correlation is found to be of great importance even for a qualitatively correct description of the dependence of ionization rates and stark shifts on the strength and orientation of the external field the analysis of the second moments of the molecular charge distribution suggests a simple criterion for distinguishing tunnel and barrier suppression ionization in polyatomic molecules | [['ionization', 'rates', 'and', 'stark', 'shifts', 'of', 'h_2', 'co', 'o_2', 'h_2o', 'and', 'ch_4', 'in', 'static', 'electric', 'fields', 'have', 'been', 'computed', 'with', 'coupledcluster', 'methods', 'in', 'a', 'basis', 'set', 'of', 'atomcentered', 'gaussian', 'functions', 'with', 'complexscaled', 'exponent', 'consideration', 'of', 'electron', 'correlation', 'is', 'found', 'to', 'be', 'of', 'great', 'importance', 'even', 'for', 'a', 'qualitatively', 'correct', 'description', 'of', 'the', 'dependence', 'of', 'ionization', 'rates', 'and', 'stark', 'shifts', 'on', 'the', 'strength', 'and', 'orientation', 'of', 'the', 'external', 'field', 'the', 'analysis', 'of', 'the', 'second', 'moments', 'of', 'the', 'molecular', 'charge', 'distribution', 'suggests', 'a', 'simple', 'criterion', 'for', 'distinguishing', 'tunnel', 'and', 'barrier', 'suppression', 'ionization', 'in', 'polyatomic', 'molecules']] | [-0.09718188512269207, 0.10455691470183752, -0.03834100652446029, 0.07448563865581227, 0.06346183213823405, -0.10271381882366083, 0.06170774170107419, 0.40975292938290747, -0.19563272288939115, -0.2935255752170398, -0.049487617207310534, -0.24498962339292962, -0.046304184873338025, 0.17461358521494172, 0.06392828398133799, 0.024010222310060135, 0.015625992319196143, -0.020629867430656187, -0.056163607508204476, -0.17474307466338398, 0.285875279816889, 0.09154011042768596, 0.2515258938474681, 0.12946001076770405, 0.03760024513640899, -0.0187557114248154, -0.0008805599401614839, 0.004864173911271557, -0.11490845023303904, 0.12585981074540364, 0.23262199394965685, 0.023018709606721355, 0.23282996016324206, -0.4116680972398289, -0.21521145909754258, 0.06734936173644758, 0.11274490028279283, 0.16243381341618876, -0.0555823060886694, -0.24594599098688172, -0.010392051150080978, -0.17488784767607207, -0.1459665779545102, -0.09002097599679024, 0.06814719062243459, 0.1148273216920995, -0.33650464447896167, 0.11212348043217614, 0.03592725523361956, 0.1354919385605602, -0.11844804702747253, -0.1672075542781542, -0.06343293557774717, 0.06779175965235598, 0.023122935167824227, 0.06327643042169911, 0.2331883619559468, -0.12583306483719098, -0.08479978282302518, 0.3938482319735872, -0.12136890874144131, -0.14786806006124745, 0.17103490262963278, -0.2319674317334448, -0.1120593549323178, 0.2280700827713415, 0.11084309598851588, 0.1273559056002126, -0.11325269697940663, 0.0740672128070997, 0.023167381373544533, 0.1625247880921609, 0.11114212709368877, 0.05948747262879405, 0.1924978286148079, 0.06929489415419358, 0.03770254922139468, 0.0898838251696459, -0.14438929591798574, -0.09917367210671786, -0.2247374931911147, -0.16050833758712815, -0.17547518441513663, 0.03806697146251037, -0.06298460886404995, -0.1909833527770975, 0.37624441097760875, 0.10024009851278157, 0.17146442013402138, -0.047639412515025625, 0.30869732707017855, 0.16707362414738888, 0.029076104027329273, -0.00805357818852269, 0.24155643607629965, 0.22685651902374762, 0.054837357115140685, -0.3046085309635933, 0.1331164047762912, 0.03926354059849375] |
1,803.0245 | Semiclassical resolvent estimates for bounded potentials | We study the cut-off resolvent of semiclassical Schr{\"o}dinger operators on
$\mathbb{R}^d$ with bounded compactly supported potentials $V$. We prove that
for real energies $\lambda^2$ in a compact interval in $\mathbb{R}_+$ and for
any smooth cut-off function $\chi$ supported in a ball near the support of the
potential $V$, for some constant $C>0$, one has
\begin{equation*}
\| \chi (-h^2\Delta + V-\lambda^2)^{-1} \chi \|_{L^2\to H^1} \leq C
\,\mathrm{e}^{Ch^{-4/3}\log \frac{1}{h} }.
\end{equation*} This bound shows in particular an upper bound on the
imaginary parts of the resonances $\lambda$, defined as a pole of the
meromorphic continuation of the resolvent $(-h^2\Delta + V-\lambda^2)^{-1}$ as
an operator $L^2_{\mathrm{comp}}\to H^2_{\mathrm{loc}}$: any resonance
$\lambda$ with real part in a compact interval away from $0$ has imaginary part
at most
\begin{equation*}
\mathrm{Im} \lambda \leq - C^{-1} \,\mathrm{e}^{Ch^{-4/3}\log \frac{1}{h} }.
\end{equation*} This is related to a conjecture by Landis: The principal
Carleman estimate in our proof provides as well a lower bound on the decay rate
of $L^2$ solutions $u$ to $-\Delta u = Vu$ with $0\not\equiv V\in
L^{\infty}(\mathbb{R}^d)$. We show that there exist a constant $M>0$ such that
for any such $u$, for $R>0$ sufficiently large, one has
\begin{equation*}
\int_{B(0,R+1)\backslash \overline{B(0,R)}}|u(x)|^2 dx
\geq M^{-1}R^{-4/3} \mathrm{e}^{-M \|V\|_{\infty}^{2/3} R^{4/3}}\|u\|^2_2.
\end{equation*}
| math.AP math-ph math.MP math.SP | we study the cutoff resolvent of semiclassical schrodinger operators on mathbbrd with bounded compactly supported potentials v we prove that for real energies lambda2 in a compact interval in mathbbr_ and for any smooth cutoff function chi supported in a ball near the support of the potential v for some constant c0 one has beginequation chi h2delta vlambda21 chi _l2to h1 leq c mathrmech43log frac1h endequation this bound shows in particular an upper bound on the imaginary parts of the resonances lambda defined as a pole of the meromorphic continuation of the resolvent h2delta vlambda21 as an operator l2_mathrmcompto h2_mathrmloc any resonance lambda with real part in a compact interval away from 0 has imaginary part at most beginequation mathrmim lambda leq c1 mathrmech43log frac1h endequation this is related to a conjecture by landis the principal carleman estimate in our proof provides as well a lower bound on the decay rate of l2 solutions u to delta u vu with 0notequiv vin linftymathbbrd we show that there exist a constant m0 such that for any such u for r0 sufficiently large one has beginequation int_b0r1backslash overlineb0rux2 dx geq m1r43 mathrmem v_infty23 r43u2_2 endequation | [['we', 'study', 'the', 'cutoff', 'resolvent', 'of', 'semiclassical', 'schrodinger', 'operators', 'on', 'mathbbrd', 'with', 'bounded', 'compactly', 'supported', 'potentials', 'v', 'we', 'prove', 'that', 'for', 'real', 'energies', 'lambda2', 'in', 'a', 'compact', 'interval', 'in', 'mathbbr_', 'and', 'for', 'any', 'smooth', 'cutoff', 'function', 'chi', 'supported', 'in', 'a', 'ball', 'near', 'the', 'support', 'of', 'the', 'potential', 'v', 'for', 'some', 'constant', 'c0', 'one', 'has', 'beginequation', 'chi', 'h2delta', 'vlambda21', 'chi', '_l2to', 'h1', 'leq', 'c', 'mathrmech43log', 'frac1h', 'endequation', 'this', 'bound', 'shows', 'in', 'particular', 'an', 'upper', 'bound', 'on', 'the', 'imaginary', 'parts', 'of', 'the', 'resonances', 'lambda', 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1,803.02451 | Probing the $N = 14$ subshell closure: $g$ factor of the
$^{26}$Mg(2$^+_1$) state | The first-excited state $g$~factor of $^{26}$Mg has been measured relative to
the $g$ factor of the $^{24}$Mg($2^+_1$) state using the high-velocity
transient-field technique, giving $g=+0.86\pm0.10$. This new measurement is in
strong disagreement with the currently adopted value, but in agreement with the
$sd$-shell model using the USDB interaction. The newly measured $g$ factor,
along with $E(2^+_1)$ and $B(E2)$ systematics, signal the closure of the $\nu
d_{5/2}$ subshell at $N=14$. The possibility that precise $g$-factor
measurements may indicate the onset of neutron $pf$ admixtures in first-excited
state even-even magnesium isotopes below $^{32}$Mg is discussed and the
importance of precise excited-state $g$-factor measurements on $sd$~shell
nuclei with $N\neq Z$ to test shell-model wavefunctions is noted.
| nucl-ex | the firstexcited state gfactor of 26mg has been measured relative to the g factor of the 24mg2_1 state using the highvelocity transientfield technique giving g086pm010 this new measurement is in strong disagreement with the currently adopted value but in agreement with the sdshell model using the usdb interaction the newly measured g factor along with e2_1 and be2 systematics signal the closure of the nu d_52 subshell at n14 the possibility that precise gfactor measurements may indicate the onset of neutron pf admixtures in firstexcited state eveneven magnesium isotopes below 32mg is discussed and the importance of precise excitedstate gfactor measurements on sdshell nuclei with nneq z to test shellmodel wavefunctions is noted | [['the', 'firstexcited', 'state', 'gfactor', 'of', '26mg', 'has', 'been', 'measured', 'relative', 'to', 'the', 'g', 'factor', 'of', 'the', '24mg2_1', 'state', 'using', 'the', 'highvelocity', 'transientfield', 'technique', 'giving', 'g086pm010', 'this', 'new', 'measurement', 'is', 'in', 'strong', 'disagreement', 'with', 'the', 'currently', 'adopted', 'value', 'but', 'in', 'agreement', 'with', 'the', 'sdshell', 'model', 'using', 'the', 'usdb', 'interaction', 'the', 'newly', 'measured', 'g', 'factor', 'along', 'with', 'e2_1', 'and', 'be2', 'systematics', 'signal', 'the', 'closure', 'of', 'the', 'nu', 'd_52', 'subshell', 'at', 'n14', 'the', 'possibility', 'that', 'precise', 'gfactor', 'measurements', 'may', 'indicate', 'the', 'onset', 'of', 'neutron', 'pf', 'admixtures', 'in', 'firstexcited', 'state', 'eveneven', 'magnesium', 'isotopes', 'below', '32mg', 'is', 'discussed', 'and', 'the', 'importance', 'of', 'precise', 'excitedstate', 'gfactor', 'measurements', 'on', 'sdshell', 'nuclei', 'with', 'nneq', 'z', 'to', 'test', 'shellmodel', 'wavefunctions', 'is', 'noted']] | [-0.07624543810615668, 0.1800358571481329, -0.022990707362590877, 0.06594289106165839, 0.024145328548845945, -0.11881335470657628, 0.07056714340767546, 0.37133418768644333, -0.14861541415086468, -0.32022794701058316, -0.08259371058021144, -0.33782328906057923, 0.038978074534653545, 0.15757096961333608, 0.06890340525287765, 0.045274582657929476, 0.08440088929801441, 0.04812928686874944, -0.11513993590398952, -0.14219503251097357, 0.29691732900536005, 0.13000734282976334, 0.25910430012254027, 0.06527363436992976, 0.00969681606065851, -0.039696045408679825, 0.07151059606657909, -0.061309881902694166, -0.16737937189562316, 0.0626737792758053, 0.26680306684192234, 0.03791899730132574, 0.1604932146734214, -0.3334685730168948, -0.13255525634598894, 0.08676367453383366, 0.14634346197619363, 0.13166388439283044, -0.03580340730295903, -0.36618420006791214, 0.034506712100460184, -0.21581290508903614, -0.17745764914329523, -0.09943258272366481, 0.07185658990397109, 0.010285599173994752, -0.2430555648760354, 0.12343426913375387, -0.035833947368578145, 0.06848515016404358, -0.09754225373192615, -0.2767891265653275, -0.02212186428290364, 0.04412339133856009, 0.09799764380970684, 0.09294153499492519, 0.14815439580234926, -0.05800350344118973, -0.07277960089026941, 0.37929649274326394, -0.03877540552770501, -0.07178410235582641, 0.07746619426829925, -0.2182448928303144, -0.1360382776254335, 0.1865991417419266, 0.053163642837741484, 0.08267087512020324, -0.08254502515669342, 0.08739351130380119, 0.006321145599154201, 0.2250157982815762, 0.029245289049671358, 0.04072436332425495, 0.12692773609363414, 0.16789207667498304, -0.020182795091353876, 0.027705715446909134, -0.1844192270403476, -0.05856898675572027, -0.27256620884663213, -0.08573732105595572, -0.15380484992554327, 0.07946577377885848, -0.053877824464097605, -0.08783036178430996, 0.36022604032428013, 0.0515082434526653, 0.16328004167505922, -0.06292780466914714, 0.23404340779509497, 0.09166390383574138, 0.05655825369244626, 0.03589651479515843, 0.3584251925684847, 0.25498366986846066, 0.0060469822135863, -0.3372015911154449, 0.10618165346399487, 0.015233145280912108] |
1,803.02452 | Additional clock transitions in neutral ytterbium bring new
possibilities for testing physics beyond the Standard Model | We study the prospects of using transitions from the ytterbium ground state
to metastable states $^3{\rm P}^{\rm o}_2$ at $E=19\,710.388~$cm$^{-1}$ and
$4f^{13}5d6s^2\,(J=2)$ at $E=23\,188.518~$cm$^{-1}$ as clock transitions in an
optical lattice clock. Having more than one clock transition in Yb could
benefit the search for new physics beyond the Standard Model via studying the
non-linearity of King's plot or the time-variation of the ratio of the
frequencies of two clock transitions. We calculate the lifetime of the states,
relevant transition amplitudes, systematic shifts, and the sensitivities of the
clock transitions to a variation of the fine structure constant and to the
gravitational potential. We find that both transitions can probably support
ultra-high accuracy, similar to what is already achieved for the $^1$S$_0$ -
$^3$P$^{\rm o}_0$ clock transition.
| physics.atom-ph | we study the prospects of using transitions from the ytterbium ground state to metastable states 3rm prm o_2 at e19710388cm1 and 4f135d6s2j2 at e23188518cm1 as clock transitions in an optical lattice clock having more than one clock transition in yb could benefit the search for new physics beyond the standard model via studying the nonlinearity of kings plot or the timevariation of the ratio of the frequencies of two clock transitions we calculate the lifetime of the states relevant transition amplitudes systematic shifts and the sensitivities of the clock transitions to a variation of the fine structure constant and to the gravitational potential we find that both transitions can probably support ultrahigh accuracy similar to what is already achieved for the 1s_0 3prm o_0 clock transition | [['we', 'study', 'the', 'prospects', 'of', 'using', 'transitions', 'from', 'the', 'ytterbium', 'ground', 'state', 'to', 'metastable', 'states', '3rm', 'prm', 'o_2', 'at', 'e19710388cm1', 'and', '4f135d6s2j2', 'at', 'e23188518cm1', 'as', 'clock', 'transitions', 'in', 'an', 'optical', 'lattice', 'clock', 'having', 'more', 'than', 'one', 'clock', 'transition', 'in', 'yb', 'could', 'benefit', 'the', 'search', 'for', 'new', 'physics', 'beyond', 'the', 'standard', 'model', 'via', 'studying', 'the', 'nonlinearity', 'of', 'kings', 'plot', 'or', 'the', 'timevariation', 'of', 'the', 'ratio', 'of', 'the', 'frequencies', 'of', 'two', 'clock', 'transitions', 'we', 'calculate', 'the', 'lifetime', 'of', 'the', 'states', 'relevant', 'transition', 'amplitudes', 'systematic', 'shifts', 'and', 'the', 'sensitivities', 'of', 'the', 'clock', 'transitions', 'to', 'a', 'variation', 'of', 'the', 'fine', 'structure', 'constant', 'and', 'to', 'the', 'gravitational', 'potential', 'we', 'find', 'that', 'both', 'transitions', 'can', 'probably', 'support', 'ultrahigh', 'accuracy', 'similar', 'to', 'what', 'is', 'already', 'achieved', 'for', 'the', '1s_0', '3prm', 'o_0', 'clock', 'transition']] | [-0.11314286430256547, 0.21558332181740572, -0.010920929063747569, 0.048759784955508645, 0.019253839905245033, -0.12814323747591153, 0.13791991099885598, 0.3700851501851547, -0.2406114223753897, -0.2816348983111178, 0.06784410457263088, -0.28523525007530987, -0.05195616874503108, 0.13521949551068246, 0.05922958134423669, 0.02473156216243903, -0.001659849394544414, 0.06449108670760946, -0.09075857333723471, -0.10821124977371617, 0.27438293358053617, 0.10095880411913603, 0.2580318901824152, 0.03935037409826144, 0.031150231749288798, -0.056996909912857344, 0.07962871308256758, -0.06177387745081773, -0.13485506304751038, 0.08550594212407837, 0.21947928654537271, 0.09729290724327604, 0.1742536231924636, -0.3847702011556887, -0.19024988181313607, 0.14348612175080774, 0.1093646245894999, 0.18700412605374264, -0.00941152402592115, -0.3470394380118062, -0.005916672464407132, -0.14706213810155547, -0.12336826272975139, -0.10091169190979223, 0.04025529686937002, -0.0011859861073818634, -0.2540708163689739, 0.046896668107483566, 0.015920019532531138, 0.08316060524373277, -0.07664976502973132, -0.14118390666260347, 0.0058234523474503825, 0.1225269114564559, -0.02105232970590317, 0.03401164168953835, 0.1259377992378805, -0.12028782960875489, -0.15504813792062846, 0.44930808453411775, -0.14801039798736546, -0.0639223814374063, 0.17629589981444907, -0.177072209006978, -0.13499447503467885, 0.1678721341948078, 0.13757482348615682, 0.06340268576457127, -0.07521999891451275, 0.024821820864321407, 0.09219310888490541, 0.21189793373450516, 0.10384916613726475, 0.08066080601098455, 0.20641048229867365, 0.15330301477323946, 0.02270313583284132, 0.11152960688663208, -0.12391102821490448, -0.1052410934892733, -0.27115564752839566, -0.13886060449673332, -0.14184306625076154, 0.025683491738755407, -0.05146215076151785, -0.11113250142008793, 0.3878435589433686, 0.14307445704906693, 0.1892598182799643, -0.005854309771240242, 0.26515476170518415, 0.1289038776450344, 0.03957733060839033, -0.008107032067505869, 0.3266039124455273, 0.12842844011322632, 0.09025273053354121, -0.29300750997409647, 0.0375898621741652, 0.03618184053831226] |
1,803.02453 | A Reductions Approach to Fair Classification | We present a systematic approach for achieving fairness in a binary
classification setting. While we focus on two well-known quantitative
definitions of fairness, our approach encompasses many other previously studied
definitions as special cases. The key idea is to reduce fair classification to
a sequence of cost-sensitive classification problems, whose solutions yield a
randomized classifier with the lowest (empirical) error subject to the desired
constraints. We introduce two reductions that work for any representation of
the cost-sensitive classifier and compare favorably to prior baselines on a
variety of data sets, while overcoming several of their disadvantages.
| cs.LG | we present a systematic approach for achieving fairness in a binary classification setting while we focus on two wellknown quantitative definitions of fairness our approach encompasses many other previously studied definitions as special cases the key idea is to reduce fair classification to a sequence of costsensitive classification problems whose solutions yield a randomized classifier with the lowest empirical error subject to the desired constraints we introduce two reductions that work for any representation of the costsensitive classifier and compare favorably to prior baselines on a variety of data sets while overcoming several of their disadvantages | [['we', 'present', 'a', 'systematic', 'approach', 'for', 'achieving', 'fairness', 'in', 'a', 'binary', 'classification', 'setting', 'while', 'we', 'focus', 'on', 'two', 'wellknown', 'quantitative', 'definitions', 'of', 'fairness', 'our', 'approach', 'encompasses', 'many', 'other', 'previously', 'studied', 'definitions', 'as', 'special', 'cases', 'the', 'key', 'idea', 'is', 'to', 'reduce', 'fair', 'classification', 'to', 'a', 'sequence', 'of', 'costsensitive', 'classification', 'problems', 'whose', 'solutions', 'yield', 'a', 'randomized', 'classifier', 'with', 'the', 'lowest', 'empirical', 'error', 'subject', 'to', 'the', 'desired', 'constraints', 'we', 'introduce', 'two', 'reductions', 'that', 'work', 'for', 'any', 'representation', 'of', 'the', 'costsensitive', 'classifier', 'and', 'compare', 'favorably', 'to', 'prior', 'baselines', 'on', 'a', 'variety', 'of', 'data', 'sets', 'while', 'overcoming', 'several', 'of', 'their', 'disadvantages']] | [-0.08078907779417932, -0.05354116981228193, -0.06824933327152394, 0.08983902802598702, -0.09116174504257894, -0.18241039893958563, 0.10913877093116753, 0.41484873885444057, -0.24951327890933803, -0.32110431956728763, 0.09011411457201272, -0.27156619504724705, -0.125531660412283, 0.2410626171461748, -0.1506949287771325, 0.10525085513290833, 0.10904393381012294, 0.04668186595760441, -0.1136524881318716, -0.3339068075171478, 0.35104359133401886, 0.023476992573705502, 0.34435152070363984, 0.013929353929900875, 0.10638607339084653, -0.014735319179483971, -0.05137167342278796, 0.02995575667483763, -0.1033419492024071, 0.16041028263862245, 0.29355563475595164, 0.19242908985082371, 0.3588251487429564, -0.33210926847398997, -0.23206819325181036, 0.12120664642619279, 0.09969393784983065, 0.11434840926328131, -0.03325682916571774, -0.24270054679194195, 0.09186281919634591, -0.18724287903872514, -0.033939072733725574, -0.12458018083998468, -0.044730235201617084, 0.035176035258094394, -0.2782613105373457, 0.03127042740622225, 0.11606877115264069, 0.038847279764013365, -0.10028244456043467, -0.18092354166825922, 0.08783457342118102, 0.12973029194108676, 0.08995176054546998, 0.027229579243188102, 0.06887894256882039, -0.14217892715532798, -0.20925296451120326, 0.39324722076222923, -0.029368194302757427, -0.23514422946997607, 0.24356928933411837, -0.01368334484868683, -0.20134711914579384, 0.05738893122785763, 0.20469097109647313, 0.1202111281551576, -0.13955828825419303, -0.011903212171091582, -0.05332095749569513, 0.1284816298223935, 0.06682350503979251, 0.05328129410433272, 0.12103501012704025, 0.22551445979236937, 0.09468286360121662, 0.15596386958410827, -0.061886268624220975, -0.10872536520279634, -0.2655128464139125, -0.10524201844236813, -0.13193024295226982, -0.02781774802133441, -0.0975204111647751, -0.1764574302554441, 0.39677937167774263, 0.18542970511286208, 0.21286668064324962, 0.1567779635564269, 0.3476293395118167, 0.039766831842522755, 0.055922646077912454, 0.036798716348130256, 0.20663127717853058, 0.09154632366456401, 0.03947104615508579, -0.18067541961499956, 0.06791608003307677, 0.06754053729431082] |
1,803.02454 | Energy Harvesting with a Liquid-Metal Microfluidic Influence Machine | We describe and demonstrate a new energy harvesting technology based on a
microfluidic realization of a Wimshurst influence machine. The prototype device
converts the mechanical energy of a pressure-driven flow into electrical
energy, using a multiphase system composed of droplets of liquid mercury
surrounded by insulating oil. Electrostatic induction between adjacent metal
droplets drives charge through external electrode paths, resulting in
continuous charge amplification and collection. We demonstrate a power output
of 4 nW from the initial prototype and present calculations suggesting that
straightforward device optimization could increase the power output by more
than 3 orders of magnitude. At that level the power efficiency of this energy
harvesting mechanism, limited by viscous dissipation, could exceed 90%. The
microfluidic context enables straightforward scaling and parallelization, as
well as hydraulic matching to a variety of ambient mechanical energy sources
such as human locomotion.
| physics.app-ph | we describe and demonstrate a new energy harvesting technology based on a microfluidic realization of a wimshurst influence machine the prototype device converts the mechanical energy of a pressuredriven flow into electrical energy using a multiphase system composed of droplets of liquid mercury surrounded by insulating oil electrostatic induction between adjacent metal droplets drives charge through external electrode paths resulting in continuous charge amplification and collection we demonstrate a power output of 4 nw from the initial prototype and present calculations suggesting that straightforward device optimization could increase the power output by more than 3 orders of magnitude at that level the power efficiency of this energy harvesting mechanism limited by viscous dissipation could exceed 90 the microfluidic context enables straightforward scaling and parallelization as well as hydraulic matching to a variety of ambient mechanical energy sources such as human locomotion | [['we', 'describe', 'and', 'demonstrate', 'a', 'new', 'energy', 'harvesting', 'technology', 'based', 'on', 'a', 'microfluidic', 'realization', 'of', 'a', 'wimshurst', 'influence', 'machine', 'the', 'prototype', 'device', 'converts', 'the', 'mechanical', 'energy', 'of', 'a', 'pressuredriven', 'flow', 'into', 'electrical', 'energy', 'using', 'a', 'multiphase', 'system', 'composed', 'of', 'droplets', 'of', 'liquid', 'mercury', 'surrounded', 'by', 'insulating', 'oil', 'electrostatic', 'induction', 'between', 'adjacent', 'metal', 'droplets', 'drives', 'charge', 'through', 'external', 'electrode', 'paths', 'resulting', 'in', 'continuous', 'charge', 'amplification', 'and', 'collection', 'we', 'demonstrate', 'a', 'power', 'output', 'of', '4', 'nw', 'from', 'the', 'initial', 'prototype', 'and', 'present', 'calculations', 'suggesting', 'that', 'straightforward', 'device', 'optimization', 'could', 'increase', 'the', 'power', 'output', 'by', 'more', 'than', '3', 'orders', 'of', 'magnitude', 'at', 'that', 'level', 'the', 'power', 'efficiency', 'of', 'this', 'energy', 'harvesting', 'mechanism', 'limited', 'by', 'viscous', 'dissipation', 'could', 'exceed', '90', 'the', 'microfluidic', 'context', 'enables', 'straightforward', 'scaling', 'and', 'parallelization', 'as', 'well', 'as', 'hydraulic', 'matching', 'to', 'a', 'variety', 'of', 'ambient', 'mechanical', 'energy', 'sources', 'such', 'as', 'human', 'locomotion']] | [-0.13394981951901822, 0.16259475497229556, -0.0369377848991592, -0.03007529758698573, -0.05183489970596773, -0.149853889579286, 0.07135787160701251, 0.3603395156362759, -0.26915211528207045, -0.36774146970627564, 0.03807652749653374, -0.2522665636547442, -0.11096309339295009, 0.2547153926321438, -0.05155304280841457, 0.04502807377305414, 0.040652716663732595, -0.04358530385985172, -0.009653397499849753, -0.11500119014443563, 0.22653707674061088, 0.07649958531505295, 0.3351499123557005, 0.0886501365973215, 0.16049449195020965, -0.02478629507323993, 0.04411463452769177, 0.03517452155605757, -0.11214150673030028, 0.08469406197712358, 0.23875729568119694, 0.02846091690007597, 0.26025847398809027, -0.5048462153545448, -0.25109339627088045, 0.05153836766257882, 0.12932882289003048, 0.0762821113757257, -0.10697412456803639, -0.20999022204029774, 0.06950445082288102, -0.22994007023849658, -0.09525549991272524, -0.06215330462769738, -0.005149857420474291, 0.05715381185769469, -0.23626208667576845, 0.07502825643002455, 0.03947184557577462, 0.05932664185815416, -0.0717598777863064, -0.08877177373589283, -0.06426981823419088, 0.07291452806176883, -0.020448511626039233, -0.0028714159326877313, 0.2989237241247403, -0.14884459713440654, -0.09234606475303216, 0.3688203678599426, -0.03393072761048513, -0.15177302116561414, 0.18728271327813023, -0.09846884580661676, -0.0016273199746917402, 0.1820303875337621, 0.2088312141260498, 0.05364235568059875, -0.15504336232718613, 0.0018239522870447087, 0.02544190933695063, 0.20938668360301693, 0.09625531102231305, 0.03162377273131694, 0.2415893858115721, 0.27137881643305134, 0.058515648553813145, 0.2022747951027538, -0.09315785174725794, -0.06751305065616699, -0.26033163475804033, -0.19219513398628416, -0.17812412253281634, 0.09976642901477005, -0.09568902953885429, -0.12487490846667372, 0.40183470583786923, 0.12233072927421225, 0.1333486787043512, -0.020372821799745516, 0.3647131678847862, 0.0672631670429837, 0.0690770221790964, 0.08157769332506827, 0.2453732131248606, 0.09557834347942844, 0.161065168798502, -0.2413588908401185, 0.04902202939613614, 0.018258405674714595] |
1,803.02455 | Exciton-polaron spectral structures in two dimensional hybrid
lead-halide perovskites | Owing to both electronic and dielectric confinement effects, two-dimensional
organic-inorganic hybrid perovskites sustain strongly bound excitons at room
temperature. Here, we demonstrate that there are non-negligible contributions
to the excitonic correlations that are specific to the lattice structure and
its polar fluctuations, both of which are controlled via the chemical nature of
the organic counter-cation. We present a phenomenological, yet quantitative
framework to simulate excitonic absorption lineshapes in single-layer
organic-inorganic hybrid perovskites, based on the two-dimensional Wannier
formalism. We include four distinct excitonic states separated by
$35\pm5$\,meV, and additional vibronic progressions. Intriguingly, the
associated Huang-Rhys factors and the relevant phonon energies show substantial
variation with temperature and the nature of the organic cation. This points to
the hybrid nature of the lineshape, with a form well described by a Wannier
formalism, but with signatures of strong coupling to localized vibrations, and
polaronic effects perceived through excitonic correlations. Our work highlights
the complexity of excitonic properties in this class of nanostructured
materials.
| cond-mat.mtrl-sci physics.chem-ph | owing to both electronic and dielectric confinement effects twodimensional organicinorganic hybrid perovskites sustain strongly bound excitons at room temperature here we demonstrate that there are nonnegligible contributions to the excitonic correlations that are specific to the lattice structure and its polar fluctuations both of which are controlled via the chemical nature of the organic countercation we present a phenomenological yet quantitative framework to simulate excitonic absorption lineshapes in singlelayer organicinorganic hybrid perovskites based on the twodimensional wannier formalism we include four distinct excitonic states separated by 35pm5mev and additional vibronic progressions intriguingly the associated huangrhys factors and the relevant phonon energies show substantial variation with temperature and the nature of the organic cation this points to the hybrid nature of the lineshape with a form well described by a wannier formalism but with signatures of strong coupling to localized vibrations and polaronic effects perceived through excitonic correlations our work highlights the complexity of excitonic properties in this class of nanostructured materials | [['owing', 'to', 'both', 'electronic', 'and', 'dielectric', 'confinement', 'effects', 'twodimensional', 'organicinorganic', 'hybrid', 'perovskites', 'sustain', 'strongly', 'bound', 'excitons', 'at', 'room', 'temperature', 'here', 'we', 'demonstrate', 'that', 'there', 'are', 'nonnegligible', 'contributions', 'to', 'the', 'excitonic', 'correlations', 'that', 'are', 'specific', 'to', 'the', 'lattice', 'structure', 'and', 'its', 'polar', 'fluctuations', 'both', 'of', 'which', 'are', 'controlled', 'via', 'the', 'chemical', 'nature', 'of', 'the', 'organic', 'countercation', 'we', 'present', 'a', 'phenomenological', 'yet', 'quantitative', 'framework', 'to', 'simulate', 'excitonic', 'absorption', 'lineshapes', 'in', 'singlelayer', 'organicinorganic', 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1,803.02456 | Observation and uses of position-space Bloch oscillations in an
ultracold gas | We report the direct observation and characterization of position-space Bloch
oscillations using an ultracold gas in a tilted optical lattice. While Bloch
oscillations in momentum space are a common feature of optical lattice
experiments, the real-space center-of-mass dynamics are typically too small to
resolve. Tuning into the regime of rapid tunneling and weak force, we observe
real-space Bloch oscillation amplitudes of hundreds of lattice sites, in both
ground and excited bands. We demonstrate two unique capabilities enabled by
tracking of Bloch dynamics in position space: measurement of the full
position-momentum phase-space evolution during a Bloch cycle, and direct
imaging of the lattice band structure. These techniques, along with the ability
to exert long-distance coherent control of quantum gases without modulation,
may open up new possibilities for quantum control and metrology.
| cond-mat.quant-gas physics.atom-ph | we report the direct observation and characterization of positionspace bloch oscillations using an ultracold gas in a tilted optical lattice while bloch oscillations in momentum space are a common feature of optical lattice experiments the realspace centerofmass dynamics are typically too small to resolve tuning into the regime of rapid tunneling and weak force we observe realspace bloch oscillation amplitudes of hundreds of lattice sites in both ground and excited bands we demonstrate two unique capabilities enabled by tracking of bloch dynamics in position space measurement of the full positionmomentum phasespace evolution during a bloch cycle and direct imaging of the lattice band structure these techniques along with the ability to exert longdistance coherent control of quantum gases without modulation may open up new possibilities for quantum control and metrology | [['we', 'report', 'the', 'direct', 'observation', 'and', 'characterization', 'of', 'positionspace', 'bloch', 'oscillations', 'using', 'an', 'ultracold', 'gas', 'in', 'a', 'tilted', 'optical', 'lattice', 'while', 'bloch', 'oscillations', 'in', 'momentum', 'space', 'are', 'a', 'common', 'feature', 'of', 'optical', 'lattice', 'experiments', 'the', 'realspace', 'centerofmass', 'dynamics', 'are', 'typically', 'too', 'small', 'to', 'resolve', 'tuning', 'into', 'the', 'regime', 'of', 'rapid', 'tunneling', 'and', 'weak', 'force', 'we', 'observe', 'realspace', 'bloch', 'oscillation', 'amplitudes', 'of', 'hundreds', 'of', 'lattice', 'sites', 'in', 'both', 'ground', 'and', 'excited', 'bands', 'we', 'demonstrate', 'two', 'unique', 'capabilities', 'enabled', 'by', 'tracking', 'of', 'bloch', 'dynamics', 'in', 'position', 'space', 'measurement', 'of', 'the', 'full', 'positionmomentum', 'phasespace', 'evolution', 'during', 'a', 'bloch', 'cycle', 'and', 'direct', 'imaging', 'of', 'the', 'lattice', 'band', 'structure', 'these', 'techniques', 'along', 'with', 'the', 'ability', 'to', 'exert', 'longdistance', 'coherent', 'control', 'of', 'quantum', 'gases', 'without', 'modulation', 'may', 'open', 'up', 'new', 'possibilities', 'for', 'quantum', 'control', 'and', 'metrology']] | [-0.1929616515135142, 0.22292034913116368, -0.0569676629303453, 0.01459230065990526, -0.06642959068457667, -0.115737363577892, 0.09430054412223399, 0.41904482698211304, -0.30253000045911627, -0.26330138846802026, 0.05284306752593973, -0.2380017823754595, -0.1014621187825329, 0.23904661290311757, 0.038839552755682516, 0.08739642572159377, 0.09713474949463628, -0.05897852419875562, -0.07832067472000535, -0.16568762336033754, 0.27218853793232345, 0.03350299900361838, 0.2958681461580384, 0.04655872207278242, 0.09262405035014336, 0.06932280076166185, -0.014054618306601277, -0.019380317936884238, -0.13709790000463656, 0.1247583200768881, 0.21472242770429986, 0.003487104556272523, 0.24086420002500886, -0.4758077803712625, -0.21490423067544515, 0.05146828172286265, 0.1810554602418471, 0.18566858212356097, -0.03128209773164529, -0.331609240704431, -0.05876829337257032, -0.12457431164355232, -0.15565431653880157, -0.16501904186667302, 0.00983512346059657, 0.011679175979224965, -0.21558391819931924, 0.09290083893753875, 0.0033837217246540465, 0.09511640233775744, -0.09115298299763638, -0.028263244369568733, -0.008074698369735135, 0.11522819812839422, -0.05445604788927505, 0.019308062431474145, 0.12979544062668888, -0.12311017284832465, -0.1621817661982137, 0.38170227258502004, -0.0779911375998591, -0.1296524644184571, 0.18241288495482877, -0.2245497894795755, -0.05311322021656312, 0.16778774045837613, 0.14840286631996816, 0.04202455673366785, -0.11939419165943176, 0.06099809728195676, 0.0022275004320992872, 0.1750159138544964, 0.0722130620225261, 0.13642997953037803, 0.2697271466255188, 0.15206793539512617, 0.07486420315242587, 0.08847712000760322, -0.1778294244602036, -0.12998688138054254, -0.2553839915073835, -0.13516008515636294, -0.2157927703882496, 0.07314727656686536, -0.019746405940140203, -0.14965674706663076, 0.40821472422148175, 0.10358724004315893, 0.19104650132716275, -0.06319327597291424, 0.2907652992755175, 0.06668138588921955, 0.059600212372158866, 0.0009051053811652729, 0.2800477875656305, 0.14761998391208742, 0.08460363199253781, -0.32402780884787297, -0.07341463862595936, 0.03256482874902968] |
1,803.02457 | Characterization and Performance of the Cananea Near-infrared Camera
(CANICA) | We present details of characterization and imaging performance of the Cananea
Near-infrared camera (CANICA) at the 2.1m telescope of the Guillermo Haro
Astrophysical Observatory (OAGH) located in Cananea, Sonora, Mexico. CANICA has
a HAWAII array with a HgCdTe detector of 1024 x 1024 pixels covering a field of
view of 5.5 x 5.5 arcmin^2 with a plate scale of 0.32 arcsec/pixel. The camera
characterization involved measuring key detector parameters: conversion gain,
dark current, readout noise, and linearity. The pixels in the detector have a
full-well-depth of 100,000 e- with the conversion gain measured to be 5.8
e-/ADU. The time-dependent dark current was estimated to be 1.2 e-/sec. Readout
noise for correlated double sampled (CDS) technique was measured to be 30
e-/pixel. The detector shows 10% non-linearity close to the full-well-depth.
The non-linearity was corrected within 1% levels for the CDS images. Full-field
imaging performance was evaluated by measuring the point spread function,
zeropoints, throughput, and limiting magnitude. The average zeropoint value in
each filter are J = 20.52, H = 20.63, and K = 20.23. The saturation limit of
the detector is about sixth magnitude in all the primary broadbands. CANICA on
the 2.1m OAGH telescope reaches background-limited magnitudes of J = 18.5, H =
17.6, and K = 16.0 for a signal-to-noise ratio of 10 with an integration time
of 900s.
| astro-ph.IM | we present details of characterization and imaging performance of the cananea nearinfrared camera canica at the 21m telescope of the guillermo haro astrophysical observatory oagh located in cananea sonora mexico canica has a hawaii array with a hgcdte detector of 1024 x 1024 pixels covering a field of view of 55 x 55 arcmin2 with a plate scale of 032 arcsecpixel the camera characterization involved measuring key detector parameters conversion gain dark current readout noise and linearity the pixels in the detector have a fullwelldepth of 100000 e with the conversion gain measured to be 58 eadu the timedependent dark current was estimated to be 12 esec readout noise for correlated double sampled cds technique was measured to be 30 epixel the detector shows 10 nonlinearity close to the fullwelldepth the nonlinearity was corrected within 1 levels for the cds images fullfield imaging performance was evaluated by measuring the point spread function zeropoints throughput and limiting magnitude the average zeropoint value in each filter are j 2052 h 2063 and k 2023 the saturation limit of the detector is about sixth magnitude in all the primary broadbands canica on the 21m oagh telescope reaches backgroundlimited magnitudes of j 185 h 176 and k 160 for a signaltonoise ratio of 10 with an integration time of 900s | [['we', 'present', 'details', 'of', 'characterization', 'and', 'imaging', 'performance', 'of', 'the', 'cananea', 'nearinfrared', 'camera', 'canica', 'at', 'the', '21m', 'telescope', 'of', 'the', 'guillermo', 'haro', 'astrophysical', 'observatory', 'oagh', 'located', 'in', 'cananea', 'sonora', 'mexico', 'canica', 'has', 'a', 'hawaii', 'array', 'with', 'a', 'hgcdte', 'detector', 'of', '1024', 'x', '1024', 'pixels', 'covering', 'a', 'field', 'of', 'view', 'of', '55', 'x', '55', 'arcmin2', 'with', 'a', 'plate', 'scale', 'of', '032', 'arcsecpixel', 'the', 'camera', 'characterization', 'involved', 'measuring', 'key', 'detector', 'parameters', 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1,803.02458 | Robust Multiple Kernel k-means Clustering using Min-Max Optimization | Multiple kernel learning is a type of multiview learning that combines
different data modalities by capturing view-specific patterns using kernels.
Although supervised multiple kernel learning has been extensively studied,
until recently, only a few unsupervised approaches have been proposed. In the
meanwhile, adversarial learning has recently received much attention. Many
works have been proposed to defend against adversarial examples. However,
little is known about the effect of adversarial perturbation in the context of
multiview learning, and even less in the unsupervised case. In this study, we
show that adversarial features added to a view can make the existing approaches
with the min-max formulation in multiple kernel clustering yield unfavorable
clusters. To address this problem and inspired by recent works in adversarial
learning, we propose a multiple kernel clustering method with the min-max
framework that aims to be robust to such adversarial perturbation. We evaluate
the robustness of our method on simulation data under different types of
adversarial perturbations and show that it outperforms several compared
existing methods. In the real data analysis, We demonstrate the utility of our
method on a real-world problem.
| cs.LG | multiple kernel learning is a type of multiview learning that combines different data modalities by capturing viewspecific patterns using kernels although supervised multiple kernel learning has been extensively studied until recently only a few unsupervised approaches have been proposed in the meanwhile adversarial learning has recently received much attention many works have been proposed to defend against adversarial examples however little is known about the effect of adversarial perturbation in the context of multiview learning and even less in the unsupervised case in this study we show that adversarial features added to a view can make the existing approaches with the minmax formulation in multiple kernel clustering yield unfavorable clusters to address this problem and inspired by recent works in adversarial learning we propose a multiple kernel clustering method with the minmax framework that aims to be robust to such adversarial perturbation we evaluate the robustness of our method on simulation data under different types of adversarial perturbations and show that it outperforms several compared existing methods in the real data analysis we demonstrate the utility of our method on a realworld problem | [['multiple', 'kernel', 'learning', 'is', 'a', 'type', 'of', 'multiview', 'learning', 'that', 'combines', 'different', 'data', 'modalities', 'by', 'capturing', 'viewspecific', 'patterns', 'using', 'kernels', 'although', 'supervised', 'multiple', 'kernel', 'learning', 'has', 'been', 'extensively', 'studied', 'until', 'recently', 'only', 'a', 'few', 'unsupervised', 'approaches', 'have', 'been', 'proposed', 'in', 'the', 'meanwhile', 'adversarial', 'learning', 'has', 'recently', 'received', 'much', 'attention', 'many', 'works', 'have', 'been', 'proposed', 'to', 'defend', 'against', 'adversarial', 'examples', 'however', 'little', 'is', 'known', 'about', 'the', 'effect', 'of', 'adversarial', 'perturbation', 'in', 'the', 'context', 'of', 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1,803.02459 | Complex Hyperbolic Geometry and Hilbert Spaces with the Complete Pick
Property | Suppose $H$ is a finite dimensional reproducing kernel Hilbert space of
functions on $X.$ If $H$ has the complete Pick property then there is an
isometric map, $\Phi,$ from $X,$ with the metric induced by $H,$ into complex
hyperbolic space, $\mathbb{CH}^{n},$ with its pseudohyperbolic metric. We
investigate the relationships between the geometry of $\Phi(X)$ and the
function theory of $H$ and its multiplier algebra.
| math.FA | suppose h is a finite dimensional reproducing kernel hilbert space of functions on x if h has the complete pick property then there is an isometric map phi from x with the metric induced by h into complex hyperbolic space mathbbchn with its pseudohyperbolic metric we investigate the relationships between the geometry of phix and the function theory of h and its multiplier algebra | [['suppose', 'h', 'is', 'a', 'finite', 'dimensional', 'reproducing', 'kernel', 'hilbert', 'space', 'of', 'functions', 'on', 'x', 'if', 'h', 'has', 'the', 'complete', 'pick', 'property', 'then', 'there', 'is', 'an', 'isometric', 'map', 'phi', 'from', 'x', 'with', 'the', 'metric', 'induced', 'by', 'h', 'into', 'complex', 'hyperbolic', 'space', 'mathbbchn', 'with', 'its', 'pseudohyperbolic', 'metric', 'we', 'investigate', 'the', 'relationships', 'between', 'the', 'geometry', 'of', 'phix', 'and', 'the', 'function', 'theory', 'of', 'h', 'and', 'its', 'multiplier', 'algebra']] | [-0.09710388070743647, 0.1188977113799865, -0.08758045492868405, 0.02993267649799236, -0.0793536486744415, -0.12367903335689334, -0.01662243902501359, 0.4143764766922686, -0.3435979574569501, -0.1627023511537118, 0.06764648625539849, -0.311573392158607, -0.1607581978169037, 0.1398376179568004, -0.05443280354666058, -0.00616532585445384, 0.030791501179919578, 0.1389791688125115, -0.13604109914740548, -0.23526214974117465, 0.4311084522414603, -0.028571120783453807, 0.17265251083153998, 0.02215794919175096, 0.19786171824671328, 0.02845772369619226, -0.03104587618872756, 0.01877581336066214, -0.20623488882847596, 0.08507577423006296, 0.1967032367538195, 0.16131955365563044, 0.2767587132657354, -0.3269846732728183, -0.1866808265185682, 0.23685590476088692, 0.05010687229514588, -0.13271804453688674, -0.012035682806526893, -0.305402661266271, 0.0735039903811412, -0.07988926389225526, -0.11198311451880727, -0.0720048356015468, 0.11976702469269185, -0.0533287980069872, -0.26308923843316734, -0.02731181435956387, 0.10064494508696953, 0.05512460712634493, -0.03723160707522766, -0.04779286013217643, -0.14398499213712057, 0.07999865066813072, -0.017244116876099724, 0.15541380823560758, 0.0800017772139654, -0.07001970901330878, -0.03844546569052909, 0.3696623892028583, -0.1057149737889631, -0.28428305161651224, 0.13102961380354827, -0.2340602179101552, -0.08211912563274382, 0.11733344284584746, 0.11846031772074639, 0.1415027598850429, -0.036729261541040614, 0.33839102840101987, -0.10011757715983549, 0.11530314617266413, 0.03605239003081806, 0.0027123003092128783, 0.10241567782941274, 0.10161358375262353, 0.12483547746614931, 0.1548627630691044, -0.009770169763214653, -0.018246839732455555, -0.37060026596009266, -0.21167503501055762, -0.16146937385201454, 0.13131658139172941, -0.16186682750367254, -0.20787381012632977, 0.3347959282618831, -0.011028161196918518, 0.258356684964383, 0.006638716033194214, 0.20639058036613278, 0.12739956577297562, 0.059602008943329565, 0.08780502201989293, 0.11259450938086957, 0.2190509745196323, -0.027448672444734257, -0.15729568247115822, -0.02753428019786952, 0.19966455333633348] |
1,803.0246 | Quantum Circuit Design for Objective Function Maximization in Gate-Model
Quantum Computers | Gate-model quantum computers provide an experimentally implementable
architecture for near term quantum computations. To design a reduced quantum
circuit that can simulate a high complexity reference quantum circuit, an
optimization should be taken on the number of input quantum states, on the
unitary operations of the quantum circuit, and on the number of output
measurement rounds. Besides the optimization of the physical layout of the
hardware layer, the quantum computer should also solve difficult computational
problems very efficiently. To yield a desired output system, a particular
objective function associated with the computational problem fed into the
quantum computer should be maximized. The reduced gate structure should be able
to produce the maximized value of the objective function. These parallel
requirements must be satisfied simultaneously, which makes the optimization
difficult. Here, we demonstrate a method for designing quantum circuits for
gate-model quantum computers and define the Quantum Triple Annealing
Minimization (QTAM) algorithm. The aim of QTAM is to determine an optimal
reduced topology for the quantum circuits in the hardware layer at the
maximization of the objective function of an arbitrary computational problem.
| quant-ph cs.IT math.IT | gatemodel quantum computers provide an experimentally implementable architecture for near term quantum computations to design a reduced quantum circuit that can simulate a high complexity reference quantum circuit an optimization should be taken on the number of input quantum states on the unitary operations of the quantum circuit and on the number of output measurement rounds besides the optimization of the physical layout of the hardware layer the quantum computer should also solve difficult computational problems very efficiently to yield a desired output system a particular objective function associated with the computational problem fed into the quantum computer should be maximized the reduced gate structure should be able to produce the maximized value of the objective function these parallel requirements must be satisfied simultaneously which makes the optimization difficult here we demonstrate a method for designing quantum circuits for gatemodel quantum computers and define the quantum triple annealing minimization qtam algorithm the aim of qtam is to determine an optimal reduced topology for the quantum circuits in the hardware layer at the maximization of the objective function of an arbitrary computational problem | [['gatemodel', 'quantum', 'computers', 'provide', 'an', 'experimentally', 'implementable', 'architecture', 'for', 'near', 'term', 'quantum', 'computations', 'to', 'design', 'a', 'reduced', 'quantum', 'circuit', 'that', 'can', 'simulate', 'a', 'high', 'complexity', 'reference', 'quantum', 'circuit', 'an', 'optimization', 'should', 'be', 'taken', 'on', 'the', 'number', 'of', 'input', 'quantum', 'states', 'on', 'the', 'unitary', 'operations', 'of', 'the', 'quantum', 'circuit', 'and', 'on', 'the', 'number', 'of', 'output', 'measurement', 'rounds', 'besides', 'the', 'optimization', 'of', 'the', 'physical', 'layout', 'of', 'the', 'hardware', 'layer', 'the', 'quantum', 'computer', 'should', 'also', 'solve', 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1,803.02461 | Subgradient methods for sharp weakly convex functions | Subgradient methods converge linearly on a convex function that grows sharply
away from its solution set. In this work, we show that the same is true for
sharp functions that are only weakly convex, provided that the subgradient
methods are initialized within a fixed tube around the solution set. A variety
of statistical and signal processing tasks come equipped with good
initialization, and provably lead to formulations that are both weakly convex
and sharp. Therefore, in such settings, subgradient methods can serve as
inexpensive local search procedures. We illustrate the proposed techniques on
phase retrieval and covariance estimation problems.
| math.OC | subgradient methods converge linearly on a convex function that grows sharply away from its solution set in this work we show that the same is true for sharp functions that are only weakly convex provided that the subgradient methods are initialized within a fixed tube around the solution set a variety of statistical and signal processing tasks come equipped with good initialization and provably lead to formulations that are both weakly convex and sharp therefore in such settings subgradient methods can serve as inexpensive local search procedures we illustrate the proposed techniques on phase retrieval and covariance estimation problems | [['subgradient', 'methods', 'converge', 'linearly', 'on', 'a', 'convex', 'function', 'that', 'grows', 'sharply', 'away', 'from', 'its', 'solution', 'set', 'in', 'this', 'work', 'we', 'show', 'that', 'the', 'same', 'is', 'true', 'for', 'sharp', 'functions', 'that', 'are', 'only', 'weakly', 'convex', 'provided', 'that', 'the', 'subgradient', 'methods', 'are', 'initialized', 'within', 'a', 'fixed', 'tube', 'around', 'the', 'solution', 'set', 'a', 'variety', 'of', 'statistical', 'and', 'signal', 'processing', 'tasks', 'come', 'equipped', 'with', 'good', 'initialization', 'and', 'provably', 'lead', 'to', 'formulations', 'that', 'are', 'both', 'weakly', 'convex', 'and', 'sharp', 'therefore', 'in', 'such', 'settings', 'subgradient', 'methods', 'can', 'serve', 'as', 'inexpensive', 'local', 'search', 'procedures', 'we', 'illustrate', 'the', 'proposed', 'techniques', 'on', 'phase', 'retrieval', 'and', 'covariance', 'estimation', 'problems']] | [-0.05358532493030935, 0.030733442686573423, -0.09495905483367317, 0.05316434689030766, -0.057142950569731045, -0.2092166877718586, 0.04933305861277863, 0.4518179339591903, -0.3100592639212581, -0.23539258977586422, 0.1558993983745688, -0.2871905793294762, -0.16842548823162837, 0.2417561662256379, -0.12093920981972431, 0.10292035519001967, 0.11748415367875362, 0.019138628786260433, -0.14140402901249777, -0.2765849232861791, 0.2501178833402016, -0.02622770740076749, 0.2873290149480895, 0.007887658333838587, 0.1227808282052101, -0.00981072194855472, 0.030837177759920707, 0.08351228493877282, -0.08358145516868175, 0.10751943960738829, 0.2906708749142861, 0.21784329951524434, 0.3365889745717398, -0.4076841725506867, -0.17453715646394877, 0.13363832175129592, 0.15514302427287807, 0.09527101382293333, -0.07419567267090608, -0.2528082649552762, 0.10899880530331472, -0.08965122386474501, -0.06659193264527453, -0.15758262471192414, -0.07835862264883789, 0.06840587738017091, -0.3112867609832925, 0.05549577142892763, 0.04528873648042932, 0.010575624782535615, -0.07232634190380612, -0.14118370359688245, 0.03342906484907173, 0.06088544912354061, 0.057200918188130466, 0.09822961591381693, 0.17075337848221564, -0.0874594219212392, -0.10675064222228647, 0.33188747407661545, -0.05694614335744068, -0.27352684929807003, 0.25378906890524155, -0.08848484189042614, -0.1426952727823377, 0.14593491769828504, 0.20627608147568557, 0.19525989626694207, -0.12199549786182064, 0.09637873108743342, -0.05249117094919913, 0.14369589116217363, 0.022598419407843566, 0.026842874479527126, 0.15114619490699938, 0.14159978607274365, 0.214042285396106, 0.11656048350951004, -0.04144486387476626, -0.11741996263953472, -0.3156769219221491, -0.08517302010876286, -0.2407992301565228, -0.03749617365085416, -0.12016333541256667, -0.1970193327280059, 0.344574537692648, 0.14749778639242955, 0.2083864940866602, 0.1286403495545565, 0.3245636164916284, 0.09176284455455548, 0.044442706652023274, 0.1318103295228811, 0.2191268834767562, 0.0912585838612891, 0.06743481468334041, -0.17549112704558995, 0.06946566185415393, 0.08696796148874317] |
1,803.02462 | Wavefunctions for a Class of Branes in Three-space | Wavefunctions are proposed for a class of Lagrangian branes in three
complex-dimensional space. The branes are asymptotic to Legendrian surfaces of
genus g. The expansion of these wavefunctions in appropriate coordinates
conjecturally encodes all-genus open Gromov-Witten invariants, i.e. the free
energy of the topological open string.
This paper is written in physics language, but tries to welcome
mathematicians. Most results stem from joint mathematical works with Linhui
Shen and David Treumann.
| hep-th math.AG math.SG | wavefunctions are proposed for a class of lagrangian branes in three complexdimensional space the branes are asymptotic to legendrian surfaces of genus g the expansion of these wavefunctions in appropriate coordinates conjecturally encodes allgenus open gromovwitten invariants ie the free energy of the topological open string this paper is written in physics language but tries to welcome mathematicians most results stem from joint mathematical works with linhui shen and david treumann | [['wavefunctions', 'are', 'proposed', 'for', 'a', 'class', 'of', 'lagrangian', 'branes', 'in', 'three', 'complexdimensional', 'space', 'the', 'branes', 'are', 'asymptotic', 'to', 'legendrian', 'surfaces', 'of', 'genus', 'g', 'the', 'expansion', 'of', 'these', 'wavefunctions', 'in', 'appropriate', 'coordinates', 'conjecturally', 'encodes', 'allgenus', 'open', 'gromovwitten', 'invariants', 'ie', 'the', 'free', 'energy', 'of', 'the', 'topological', 'open', 'string', 'this', 'paper', 'is', 'written', 'in', 'physics', 'language', 'but', 'tries', 'to', 'welcome', 'mathematicians', 'most', 'results', 'stem', 'from', 'joint', 'mathematical', 'works', 'with', 'linhui', 'shen', 'and', 'david', 'treumann']] | [-0.1715582425805873, 0.10343078226516289, -0.12188915595678347, 0.1347043431497046, -0.14278236259706317, -0.18074769283910946, -0.017200824503587293, 0.269049896539322, -0.2434458558796905, -0.2993652133271098, 0.019316945595866334, -0.2948086651108627, -0.14019837259714094, 0.1628555128350854, -0.18598638702283746, 0.04967659731295758, 0.04263018594314677, 0.03177397447372121, -0.08588448644482664, -0.3235160385258496, 0.39604186542398695, -0.02252632811931627, 0.2348534509073943, 0.08486404573278768, 0.07494348139901247, -0.02323127639413412, -0.02719789518575583, -0.031119766678810785, -0.1783992864623932, 0.16887118031403847, 0.36068146316600697, 0.10386390732601285, 0.13822923124368702, -0.4130795221509678, -0.16443623265783702, 0.043354789739740746, 0.14758939145665084, 0.10766944720941996, 0.03722135344786304, -0.29620845615531183, 0.03398379374827657, -0.12290883424824901, -0.1883270866636719, -0.07959244877233036, 0.047981302679649424, -0.024461242007756873, -0.13655765307900894, 0.0047035275642494006, 0.03699386424518057, 0.07317369967432959, -0.02827565246261656, -0.13788099557693514, -0.051113924497206295, 0.10906661356400166, 0.08295171032327094, 0.12842523168240275, 0.06322998826258949, -0.1456261915653678, -0.13339867257912244, 0.363201391217964, -0.01338275943084487, -0.2602526197742139, 0.14751847727623368, -0.11862311466996159, -0.194181049555274, 0.08903277304988089, 0.06924438551733536, 0.1461947285304112, -0.1233581289765425, 0.22623233575556825, -0.035590817459992, 0.04327849517909012, 0.16735897809267045, 0.005162868688681296, 0.2115817104998444, 0.06533415960480592, -0.010855348448136024, 0.11360880437506629, 0.007390698767267168, -0.10599962011024867, -0.34915666924124317, -0.1830815644003451, -0.14202642158738205, 0.1102667105251125, -0.06599044594892933, -0.19196901234265948, 0.43532916242921993, 0.05467909240563001, 0.11719238390879971, 0.07699441115172313, 0.2052204016862171, 0.017346989752591722, 0.02151874898533736, 0.11971908612842007, 0.13306442771614196, 0.1398848211326237, 0.05840460595541767, -0.1253210732547034, -0.053261538209127525, 0.2494398657232523] |
1,803.02463 | Higgs boson pair production at NNLO with top quark mass effects | We consider QCD radiative corrections to Higgs boson pair production through
gluon fusion in proton collisions. We combine the exact next-to-leading order
(NLO) contribution, which features two-loop virtual amplitudes with the full
dependence on the top quark mass $M_t$, with the next-to-next-to-leading order
(NNLO) corrections computed in the large-$M_t$ approximation. The latter are
improved with different reweighting techniques in order to account for
finite-$M_t$ effects beyond NLO. Our reference NNLO result is obtained by
combining one-loop double-real corrections with full $M_t$ dependence with
suitably reweighted real--virtual and double-virtual contributions evaluated in
the large-$M_t$ approximation. We present predictions for inclusive cross
sections in $pp$ collisions at $\sqrt{s}$=13, 14, 27 and 100TeV and we discuss
their uncertainties due to missing $M_t$ effects. Our approximated NNLO
corrections increase the NLO result by an amount ranging from +12% at
$\sqrt{s}$=13TeV to +7% at $\sqrt{s}$=100TeV, and the residual uncertainty from
missing $M_t$ effects is estimated to be at the few percent level. Our
calculation is fully differential in the Higgs boson pair and the associated
jet activity: we also present predictions for various differential
distributions at $\sqrt{s}$=14 and 100TeV. Our results represent the most
advanced perturbative prediction available to date for this process.
| hep-ph | we consider qcd radiative corrections to higgs boson pair production through gluon fusion in proton collisions we combine the exact nexttoleading order nlo contribution which features twoloop virtual amplitudes with the full dependence on the top quark mass m_t with the nexttonexttoleading order nnlo corrections computed in the largem_t approximation the latter are improved with different reweighting techniques in order to account for finitem_t effects beyond nlo our reference nnlo result is obtained by combining oneloop doublereal corrections with full m_t dependence with suitably reweighted realvirtual and doublevirtual contributions evaluated in the largem_t approximation we present predictions for inclusive cross sections in pp collisions at sqrts13 14 27 and 100tev and we discuss their uncertainties due to missing m_t effects our approximated nnlo corrections increase the nlo result by an amount ranging from 12 at sqrts13tev to 7 at sqrts100tev and the residual uncertainty from missing m_t effects is estimated to be at the few percent level our calculation is fully differential in the higgs boson pair and the associated jet activity we also present predictions for various differential distributions at sqrts14 and 100tev our results represent the most advanced perturbative prediction available to date for this process | [['we', 'consider', 'qcd', 'radiative', 'corrections', 'to', 'higgs', 'boson', 'pair', 'production', 'through', 'gluon', 'fusion', 'in', 'proton', 'collisions', 'we', 'combine', 'the', 'exact', 'nexttoleading', 'order', 'nlo', 'contribution', 'which', 'features', 'twoloop', 'virtual', 'amplitudes', 'with', 'the', 'full', 'dependence', 'on', 'the', 'top', 'quark', 'mass', 'm_t', 'with', 'the', 'nexttonexttoleading', 'order', 'nnlo', 'corrections', 'computed', 'in', 'the', 'largem_t', 'approximation', 'the', 'latter', 'are', 'improved', 'with', 'different', 'reweighting', 'techniques', 'in', 'order', 'to', 'account', 'for', 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'and', 'the', 'associated', 'jet', 'activity', 'we', 'also', 'present', 'predictions', 'for', 'various', 'differential', 'distributions', 'at', 'sqrts14', 'and', '100tev', 'our', 'results', 'represent', 'the', 'most', 'advanced', 'perturbative', 'prediction', 'available', 'to', 'date', 'for', 'this', 'process']] | [-0.01844105544043895, 0.14049584896380038, -0.08940114043486704, 0.1675338128879679, -0.025934787307941944, -0.05625646494475089, 0.020249156117420262, 0.3683770021426073, -0.181071346205759, -0.3113166608096918, 0.012212309465973462, -0.386044583535202, 0.035378825842469395, 0.12710513433023374, 0.061120605611774535, 0.13741569863442255, 0.11964707029033073, -0.028756332311099777, -0.07551275126693048, -0.27083047856552983, 0.3216563862586888, 0.07773564653756211, 0.17859127691813878, 0.17677027272174553, 0.07037800316679843, 0.05634108024330962, -0.10621792009446, -0.08006556738377074, -0.14141733559978203, 0.07843073003964585, 0.2612730827600082, -0.028861182912880062, 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1,803.02464 | The first obstructions to enhancing a triangulated category | In this paper we relate triangulated category structures to the cohomology of
small categories and define initial obstructions to the existence of an
algebraic or topological enhancement. We show that these obstructions do not
vanish in an example of triangulated category without models. We also obtain
cohomological characterizations of pre-triangulated DG, A-infinity, and
spectral categories.
| math.KT math.AT math.CT | in this paper we relate triangulated category structures to the cohomology of small categories and define initial obstructions to the existence of an algebraic or topological enhancement we show that these obstructions do not vanish in an example of triangulated category without models we also obtain cohomological characterizations of pretriangulated dg ainfinity and spectral categories | [['in', 'this', 'paper', 'we', 'relate', 'triangulated', 'category', 'structures', 'to', 'the', 'cohomology', 'of', 'small', 'categories', 'and', 'define', 'initial', 'obstructions', 'to', 'the', 'existence', 'of', 'an', 'algebraic', 'or', 'topological', 'enhancement', 'we', 'show', 'that', 'these', 'obstructions', 'do', 'not', 'vanish', 'in', 'an', 'example', 'of', 'triangulated', 'category', 'without', 'models', 'we', 'also', 'obtain', 'cohomological', 'characterizations', 'of', 'pretriangulated', 'dg', 'ainfinity', 'and', 'spectral', 'categories']] | [-0.18146550873802467, 0.00029426406359892677, -0.10785349128259854, 0.14011614860077812, -0.11601073989136652, -0.12011756742881104, -0.05255064260510897, 0.40442093949426305, -0.4170463282614946, -0.2706066890683195, 0.06293051260184836, -0.15872508695518428, -0.18150710071945056, 0.11360892018260942, -0.28589545061642474, -0.09198849685490132, 0.09535518449477175, 0.08565549725158648, -0.09473349228077992, -0.24759991904297335, 0.5116499756547538, -0.06489388974891468, 0.2157293901355429, 0.1200973870317367, 0.05558514220809395, -0.08024501386521891, 0.0047772802412509915, 0.04189027459783987, -0.2217932192276666, 0.1519948616454547, 0.34181502333039215, 0.03214906061237509, 0.11936780831099233, -0.4070064593191174, -0.07328606928614052, 0.19117527284066785, 0.1403328034730459, 0.10342462787573987, -0.012416605541313236, -0.31465629217299546, 0.18513162610205738, -0.238961385325952, -0.08819860458712686, -0.13615920179608193, 0.052358969588848676, 0.004796364734118635, -0.2196236199381846, -0.05792224712468769, 0.1198670080439611, 0.1476712614805861, -0.19535088938745584, -0.041645403509028255, -0.10377581315115095, 0.12169063095088033, -0.03716065775264393, -0.047654925506900654, 0.0950484070842239, -0.15232065408490597, -0.1564434220845049, 0.31993190239776265, -0.06294271324507215, -0.227143097397956, 0.19268706434152344, -0.11578761840408498, -0.20544802031733772, 0.1343009842898358, 0.0377032839439132, 0.17601954376494341, 0.01178177036345005, 0.15746758051682264, -0.1154723552309654, 0.0793137601931283, 0.11350697573613036, 0.08723400215702978, 0.12761518122120338, 0.0757613023573702, 0.05702031947757033, 0.15980264945802364, -0.03466392604803497, 0.0015838799659501422, -0.3745058993046934, -0.2216685415414924, -0.04449443561448292, 0.15491147895200727, -0.09176984024604529, -0.2475142215801911, 0.38916223596104166, 0.2007241339846091, 0.1939223401587118, 0.16414354526522484, 0.23844794405370273, 0.007263410717926242, 0.06951029757884415, 0.015428090010854332, 0.1588114081712609, 0.23282117885960774, 0.00023553445088592443, -0.05636862191286954, -0.04118224870074879, 0.21789594292640685] |
1,803.02465 | Anomalous DC Hall response in noncentrosymmetric tilted Weyl semimetals | Weyl nodes come in pairs of opposite chirality. For broken time reversal
symmetry (TR) they are displaced in momentum space by $\bf{Q}$ and the
anomalous DC Hall conductivity $\sigma_{xy}$ is proportional to $\bf{Q}$ at
charge neutrality. For finite doping there are additive corrections to
$\sigma_{xy}$ which depend on the chemical potential as well as on the tilt
($C$) of the Dirac cones and on their relative orientation. If inversion
symmetry (I) is also broken the Weyl nodes are shifted in energy by an amount
$Q_{0}$. This introduces further changes in $\sigma_{xy}$ and we provide simple
analytic formulas for these modifications for both type I ($C<1$) and type II
($C>1$, overtilted) Weyl. For type I when the Weyl nodes have equal magnitude
but oppositely directed tilts, the correction to $\sigma_{xy}$ is proportional
to the chemical potential $\mu$ and completely independent of the energy shift
$Q_{0}$. When instead the tilts are parallel, the correction is linear in
$Q_{0}$ and $\mu$ drops out. For type II the corrections involve both $\mu$ and
$Q_{0}$, are nonlinear and also involve a momentum cut off. We discuss the
implied changes to the Nernst coefficient and to the thermal Hall effect of a
finite $Q_{0}$.
| cond-mat.str-el cond-mat.mes-hall | weyl nodes come in pairs of opposite chirality for broken time reversal symmetry tr they are displaced in momentum space by bfq and the anomalous dc hall conductivity sigma_xy is proportional to bfq at charge neutrality for finite doping there are additive corrections to sigma_xy which depend on the chemical potential as well as on the tilt c of the dirac cones and on their relative orientation if inversion symmetry i is also broken the weyl nodes are shifted in energy by an amount q_0 this introduces further changes in sigma_xy and we provide simple analytic formulas for these modifications for both type i c1 and type ii c1 overtilted weyl for type i when the weyl nodes have equal magnitude but oppositely directed tilts the correction to sigma_xy is proportional to the chemical potential mu and completely independent of the energy shift q_0 when instead the tilts are parallel the correction is linear in q_0 and mu drops out for type ii the corrections involve both mu and q_0 are nonlinear and also involve a momentum cut off we discuss the implied changes to the nernst coefficient and to the thermal hall effect of a finite q_0 | [['weyl', 'nodes', 'come', 'in', 'pairs', 'of', 'opposite', 'chirality', 'for', 'broken', 'time', 'reversal', 'symmetry', 'tr', 'they', 'are', 'displaced', 'in', 'momentum', 'space', 'by', 'bfq', 'and', 'the', 'anomalous', 'dc', 'hall', 'conductivity', 'sigma_xy', 'is', 'proportional', 'to', 'bfq', 'at', 'charge', 'neutrality', 'for', 'finite', 'doping', 'there', 'are', 'additive', 'corrections', 'to', 'sigma_xy', 'which', 'depend', 'on', 'the', 'chemical', 'potential', 'as', 'well', 'as', 'on', 'the', 'tilt', 'c', 'of', 'the', 'dirac', 'cones', 'and', 'on', 'their', 'relative', 'orientation', 'if', 'inversion', 'symmetry', 'i', 'is', 'also', 'broken', 'the', 'weyl', 'nodes', 'are', 'shifted', 'in', 'energy', 'by', 'an', 'amount', 'q_0', 'this', 'introduces', 'further', 'changes', 'in', 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1,803.02466 | Improved implementation of reflection operators | Quantum algorithms for diverse problems, including search and optimization
problems, require the implementation of a reflection operator over a target
state. Commonly, such reflections are approximately implemented using phase
estimation. Here we use a linear combination of unitaries and a version of
amplitude amplification to approximate reflection operators over eigenvectors
of unitary operators using exponentially less ancillary qubits in terms of a
precision parameter. The gate complexity of our method is also comparable to
that of the phase estimation approach in a certain limit of interest. Like
phase estimation, our method requires the implementation of controlled unitary
operations. We then extend our results to the Hamiltonian case where the target
state is an eigenvector of a Hamiltonian whose matrix elements can be queried.
Our results are useful in that they reduce the resources required by various
quantum algorithms in the literature. Our improvements also rely on an
efficient quantum algorithm to prepare a quantum state with Gaussian-like
amplitudes that may be of independent interest. We also provide a lower bound
on the query complexity of implementing approximate reflection operators on a
quantum computer.
| quant-ph | quantum algorithms for diverse problems including search and optimization problems require the implementation of a reflection operator over a target state commonly such reflections are approximately implemented using phase estimation here we use a linear combination of unitaries and a version of amplitude amplification to approximate reflection operators over eigenvectors of unitary operators using exponentially less ancillary qubits in terms of a precision parameter the gate complexity of our method is also comparable to that of the phase estimation approach in a certain limit of interest like phase estimation our method requires the implementation of controlled unitary operations we then extend our results to the hamiltonian case where the target state is an eigenvector of a hamiltonian whose matrix elements can be queried our results are useful in that they reduce the resources required by various quantum algorithms in the literature our improvements also rely on an efficient quantum algorithm to prepare a quantum state with gaussianlike amplitudes that may be of independent interest we also provide a lower bound on the query complexity of implementing approximate reflection operators on a quantum computer | [['quantum', 'algorithms', 'for', 'diverse', 'problems', 'including', 'search', 'and', 'optimization', 'problems', 'require', 'the', 'implementation', 'of', 'a', 'reflection', 'operator', 'over', 'a', 'target', 'state', 'commonly', 'such', 'reflections', 'are', 'approximately', 'implemented', 'using', 'phase', 'estimation', 'here', 'we', 'use', 'a', 'linear', 'combination', 'of', 'unitaries', 'and', 'a', 'version', 'of', 'amplitude', 'amplification', 'to', 'approximate', 'reflection', 'operators', 'over', 'eigenvectors', 'of', 'unitary', 'operators', 'using', 'exponentially', 'less', 'ancillary', 'qubits', 'in', 'terms', 'of', 'a', 'precision', 'parameter', 'the', 'gate', 'complexity', 'of', 'our', 'method', 'is', 'also', 'comparable', 'to', 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