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1,803.07367
|
Muon anomalies and the $SU(5)$ Yukawa relations
|
We show that, within the framework of $SU(5)$ Grand Unified Theories (GUTs),
multiple vector-like families at the GUT scale which transform under a gauged
$U(1)'$ (under which the three chiral families are neutral) can result in a
single vector-like family at low energies which can induce non-universal and
flavourful $Z'$ couplings, which can account for the B physics anomalies in
$R_{K^{(*)}}$. In such theories, we show that the same muon couplings which
explain $R_{K^{(*)}}$ also correct the Yukawa relation $Y_e=Y_d^T$ in the muon
sector without the need for higher Higgs representations. To illustrate the
mechanism, we construct a concrete a model based on $SU(5)\times A_4 \times
Z_3\times Z_7$ with two vector-like families at the GUT scale, and two
right-handed neutrinos, leading to a successful fit to quark and lepton
(including neutrino) masses, mixing angles and CP phases, where the constraints
from lepton flavour violation require $Y_e$ to be diagonal.
|
hep-ph
|
we show that within the framework of su5 grand unified theories guts multiple vectorlike families at the gut scale which transform under a gauged u1 under which the three chiral families are neutral can result in a single vectorlike family at low energies which can induce nonuniversal and flavourful z couplings which can account for the b physics anomalies in r_k in such theories we show that the same muon couplings which explain r_k also correct the yukawa relation y_ey_dt in the muon sector without the need for higher higgs representations to illustrate the mechanism we construct a concrete a model based on su5times a_4 times z_3times z_7 with two vectorlike families at the gut scale and two righthanded neutrinos leading to a successful fit to quark and lepton including neutrino masses mixing angles and cp phases where the constraints from lepton flavour violation require y_e to be diagonal
|
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|
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|
1,803.07368
|
Shape Optimization by means of Proper Orthogonal Decomposition and
Dynamic Mode Decomposition
|
Shape optimization is a challenging task in many engineering fields, since
the numerical solutions of parametric system may be computationally expensive.
This work presents a novel optimization procedure based on reduced order
modeling, applied to a naval hull design problem. The advantage introduced by
this method is that the solution for a specific parameter can be expressed as
the combination of few numerical solutions computed at properly chosen
parametric points. The reduced model is built using the proper orthogonal
decomposition with interpolation (PODI) method. We use the free form
deformation (FFD) for an automated perturbation of the shape, and the finite
volume method to simulate the multiphase incompressible flow around the
deformed hulls. Further computational reduction is done by the dynamic mode
decomposition (DMD) technique: from few high dimensional snapshots, the system
evolution is reconstructed and the final state of the simulation is faithfully
approximated. Finally the global optimization algorithm iterates over the
reduced space: the approximated drag and lift coefficients are projected to the
hull surface, hence the resistance is evaluated for the new hulls until the
convergence to the optimal shape is achieved. We will present the results
obtained applying the described procedure to a typical Fincantieri cruise ship.
|
math.NA
|
shape optimization is a challenging task in many engineering fields since the numerical solutions of parametric system may be computationally expensive this work presents a novel optimization procedure based on reduced order modeling applied to a naval hull design problem the advantage introduced by this method is that the solution for a specific parameter can be expressed as the combination of few numerical solutions computed at properly chosen parametric points the reduced model is built using the proper orthogonal decomposition with interpolation podi method we use the free form deformation ffd for an automated perturbation of the shape and the finite volume method to simulate the multiphase incompressible flow around the deformed hulls further computational reduction is done by the dynamic mode decomposition dmd technique from few high dimensional snapshots the system evolution is reconstructed and the final state of the simulation is faithfully approximated finally the global optimization algorithm iterates over the reduced space the approximated drag and lift coefficients are projected to the hull surface hence the resistance is evaluated for the new hulls until the convergence to the optimal shape is achieved we will present the results obtained applying the described procedure to a typical fincantieri cruise ship
|
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|
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|
1,803.07369
|
Optimal Symbolic Controllers Determinization for BDD storage
|
Controller synthesis techniques based on symbolic abstractions appeal by
producing correct-by-design controllers, under intricate behavioural
constraints. Yet, being relations between abstract states and inputs, such
controllers are immense in size, which makes them futile for em- bedded
platforms. Control-synthesis tools such as PESSOA, SCOTS, and CoSyMA tackle the
problem by storing controllers as binary decision di- agrams (BDDs). However,
due to redundantly keeping multiple inputs per-state, the resulting controllers
are still too large. In this work, we first show that choosing an optimal
controller determinization is an NP- complete problem. Further, we consider the
previously known controller determinization technique and discuss its
weaknesses. We suggest several new approaches to the problem, based on greedy
algorithms, symbolic regression, and (muli-terminal) BDDs. Finally, we
empirically compare the techniques and show that some of the new algorithms can
produce up to 85% smaller controllers than those obtained with the previous
technique.
|
cs.SY cs.CC cs.SE
|
controller synthesis techniques based on symbolic abstractions appeal by producing correctbydesign controllers under intricate behavioural constraints yet being relations between abstract states and inputs such controllers are immense in size which makes them futile for em bedded platforms controlsynthesis tools such as pessoa scots and cosyma tackle the problem by storing controllers as binary decision di agrams bdds however due to redundantly keeping multiple inputs perstate the resulting controllers are still too large in this work we first show that choosing an optimal controller determinization is an np complete problem further we consider the previously known controller determinization technique and discuss its weaknesses we suggest several new approaches to the problem based on greedy algorithms symbolic regression and muliterminal bdds finally we empirically compare the techniques and show that some of the new algorithms can produce up to 85 smaller controllers than those obtained with the previous technique
|
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|
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|
1,803.0737
|
Uncovering the Origin of Divergence in the CsM(CrO$_4$)$_2$ (M = La, Pr,
Nd, Sm, Eu; Am) Family through Examination of the Chemical Bonding in a
Molecular Cluster and by Band Structure Analysis
|
A series of f-block chromates, CsM(CrO$_4$)$_2$ (M = La, Pr, Nd, Sm, Eu; Am),
were prepared revealing notable differences between the AmIII derivatives and
their lanthanide analogs. While all compounds form similar layered structures,
the americium compound exhibits polymorphism and adopts both a structure
isomorphous with the early lanthanides as well as one that possesses lower
symmetry. Both polymorphs are dark red and possess band gaps that are smaller
than the LnIII compounds. In order to probe the origin of these differences,
the electronic structure of $\alpha$-CsSm(CrO$_4$)$_2$,
$\alpha$-CsEu(CrO$_4$)$_2$ and $\alpha$-CsAm(CrO$_4$)$_2$ were studied using
both a molecular cluster approach featuring hybrid density functional theory
and QTAIM analysis, and by the periodic LDA+GA and LDA+DMFT methods. Notably,
the covalent contributions to bonding by the f orbitals was found to be more
than twice as large in the AmIII chromate than in the SmIII and EuIII
compounds, and even larger in magnitude than the Am-5f spin-orbit splitting in
this system. Our analysis indicates also that the Am-O covalency in
$\alpha$-CsAm(CrO$_4$)$_2$ is driven by the degeneracy of the 5f and 2p
orbitals, and not by orbital overlap.
|
cond-mat.str-el
|
a series of fblock chromates csmcro_4_2 m la pr nd sm eu am were prepared revealing notable differences between the amiii derivatives and their lanthanide analogs while all compounds form similar layered structures the americium compound exhibits polymorphism and adopts both a structure isomorphous with the early lanthanides as well as one that possesses lower symmetry both polymorphs are dark red and possess band gaps that are smaller than the lniii compounds in order to probe the origin of these differences the electronic structure of alphacssmcro_4_2 alphacseucro_4_2 and alphacsamcro_4_2 were studied using both a molecular cluster approach featuring hybrid density functional theory and qtaim analysis and by the periodic ldaga and ldadmft methods notably the covalent contributions to bonding by the f orbitals was found to be more than twice as large in the amiii chromate than in the smiii and euiii compounds and even larger in magnitude than the am5f spinorbit splitting in this system our analysis indicates also that the amo covalency in alphacsamcro_4_2 is driven by the degeneracy of the 5f and 2p orbitals and not by orbital overlap
|
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|
[-0.11587879242416581, 0.14482449565137573, -0.03793585909092251, 0.09168826757111888, 0.0015046912163276882, -0.11878938957062714, 0.060546192323432904, 0.36055496877388044, -0.22777808589093826, -0.3275715145556366, 0.008749435392811018, -0.36334510887151256, -0.14482756995952087, 0.1349895519683795, 0.055633084197282134, -0.037402611999662924, -0.014704597839291263, -0.041678437959019314, -0.12969558080384397, -0.2114083355780595, 0.2785372692947824, 0.04664202334140154, 0.2569090194096241, 0.010297657686340458, -0.01227246958296746, -0.03875747329199358, 0.09549462185378241, 0.018520251091788797, -0.08796843012776877, 0.14787248968804145, 0.2428679770379163, -0.007141988369745805, 0.21823811231811038, -0.413202905726126, -0.1884433910380775, -0.005875358371721471, 0.12295143761781648, 0.09316974335165201, -0.04839606503656422, -0.2620412721682121, 0.10112281261107829, -0.14976906441528734, -0.08760346566148869, -0.12043462412377053, -0.0015985317665207035, 0.0362773776626187, -0.2228699269492234, 0.11064340191027013, 0.05107959513347048, 0.12567576623850446, -0.11424437652835075, -0.22047379530952585, -0.12202736955300411, 0.042672207952915306, 0.07001827995648936, 0.02682653588023694, 0.09208276418503374, -0.07938895106507356, -0.0708550598434693, 0.45325301803429335, -0.07854766584898565, -0.08484025793013109, 0.2044903827516143, -0.20678519471274578, -0.1254835022331784, 0.1541602035600911, 0.05916991971162668, 0.11234657896206687, -0.10866079811513533, 0.09618772969149765, 0.01208203974631889, 0.2015675191877081, 0.0771330848459483, 0.0962323658140924, 0.18774154406273738, 0.1407428782159353, 0.03698246704880148, 0.08529218393857317, -0.09212403166491319, -0.08611927610438536, -0.16488557439571355, -0.19479207435797435, -0.17889306034057345, -0.0081674013285973, -0.05094457552948049, -0.16228474711670596, 0.3788653188152239, 0.06934515272732825, 0.16188893000020044, -0.062425464398556334, 0.19791151776786564, 0.06555086102761219, 0.1174935185487437, 0.038006886512534144, 0.24450412782230962, 0.1484532122842639, 0.07532917126218844, -0.25957816272960316, 0.126761102503823, 0.02417695061029757]
|
1,803.07371
|
Blow-up criterion and examples of global solutions of forced
Navier-Stokes equations
|
In this paper we first show a blow-up criterion for solutions to the
Navier-Stokes equations with a time-independent force by using the profile
decomposition method. Based on the orthogonal properties related to the
profiles, we give some examples of global solutions to the Navier-Stokes
equations with a time-independent force, whose initial data are large.
|
math.AP math-ph math.MP
|
in this paper we first show a blowup criterion for solutions to the navierstokes equations with a timeindependent force by using the profile decomposition method based on the orthogonal properties related to the profiles we give some examples of global solutions to the navierstokes equations with a timeindependent force whose initial data are large
|
[['in', 'this', 'paper', 'we', 'first', 'show', 'a', 'blowup', 'criterion', 'for', 'solutions', 'to', 'the', 'navierstokes', 'equations', 'with', 'a', 'timeindependent', 'force', 'by', 'using', 'the', 'profile', 'decomposition', 'method', 'based', 'on', 'the', 'orthogonal', 'properties', 'related', 'to', 'the', 'profiles', 'we', 'give', 'some', 'examples', 'of', 'global', 'solutions', 'to', 'the', 'navierstokes', 'equations', 'with', 'a', 'timeindependent', 'force', 'whose', 'initial', 'data', 'are', 'large']]
|
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|
1,803.07372
|
Transient dynamics in interacting nanojunctions within self-consistent
perturbation theory
|
We present an analysis of the transient electronic and transport properties
of a nanojunction in the presence of electron-electron and electron-phonon
interactions. We introduce a novel numerical approach which allows for an
efficient evaluation of the non-equilibrium Green functions in the time domain.
Within this approach we implement different self-consistent diagrammatic
approximations in order to analyze the system evolution after a sudden
connection to the leads and its convergence to the steady state. These
approximations are tested by comparison with available numerically exact
results, showing good agreement even for the case of large interaction
strength. In addition to its methodological advantages, this approach allows us
to study several issues of broad current interest like the build up in time of
Kondo correlations and the presence or absence of bistability associated with
electron-phonon interactions. We find that, in general, correlation effects
tend to remove the possible appearance of charge bistability.
|
cond-mat.mes-hall cond-mat.str-el
|
we present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electronelectron and electronphonon interactions we introduce a novel numerical approach which allows for an efficient evaluation of the nonequilibrium green functions in the time domain within this approach we implement different selfconsistent diagrammatic approximations in order to analyze the system evolution after a sudden connection to the leads and its convergence to the steady state these approximations are tested by comparison with available numerically exact results showing good agreement even for the case of large interaction strength in addition to its methodological advantages this approach allows us to study several issues of broad current interest like the build up in time of kondo correlations and the presence or absence of bistability associated with electronphonon interactions we find that in general correlation effects tend to remove the possible appearance of charge bistability
|
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|
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|
1,803.07373
|
The VANDELS ESO public spectroscopic survey: observations and first data
release
|
This paper describes the observations and the first data release (DR1) of the
ESO public spectroscopic survey "VANDELS, a deep VIMOS survey of the CANDELS
CDFS and UDS fields". VANDELS' main targets are star-forming galaxies at
2.4<z<5.5 and massive passive galaxies at 1<z<2.5. By adopting a strategy of
ultra-long exposure times, from 20 to 80 hours per source, VANDELS is designed
to be the deepest ever spectroscopic survey of the high-redshift Universe.
Exploiting the red sensitivity of the VIMOS spectrograph, the survey has
obtained ultra-deep spectra covering the wavelength 4800-10000 A with
sufficient signal-to-noise to investigate the astrophysics of high-redshift
galaxy evolution via detailed absorption line studies. The VANDELS-DR1 is the
release of all spectra obtained during the first season of observations and
includes data for galaxies for which the total (or half of the total) scheduled
integration time was completed. The release contains 879 individual objects
with a measured redshift and includes fully wavelength and flux-calibrated 1D
spectra, the associated error spectra, sky spectra and wavelength-calibrated 2D
spectra. We also provide a catalog with the essential galaxy parameters,
including spectroscopic redshifts and redshift quality flags. In this paper we
present the survey layout and observations, the data reduction and redshift
measurement procedure and the general properties of the VANDELS-DR1 sample. We
also discuss the spectroscopic redshift distribution, the accuracy of the
photometric redshifts and we provide some examples of data products. All
VANDELS-DR1 data are publicly available and can be retrieved from the ESO
archive. Two further data releases are foreseen in the next 2 years with a
final release scheduled for June 2020 which will include improved re-reduction
of the entire spectroscopic data set. (abridged)
|
astro-ph.GA
|
this paper describes the observations and the first data release dr1 of the eso public spectroscopic survey vandels a deep vimos survey of the candels cdfs and uds fields vandels main targets are starforming galaxies at 24z55 and massive passive galaxies at 1z25 by adopting a strategy of ultralong exposure times from 20 to 80 hours per source vandels is designed to be the deepest ever spectroscopic survey of the highredshift universe exploiting the red sensitivity of the vimos spectrograph the survey has obtained ultradeep spectra covering the wavelength 480010000 a with sufficient signaltonoise to investigate the astrophysics of highredshift galaxy evolution via detailed absorption line studies the vandelsdr1 is the release of all spectra obtained during the first season of observations and includes data for galaxies for which the total or half of the total scheduled integration time was completed the release contains 879 individual objects with a measured redshift and includes fully wavelength and fluxcalibrated 1d spectra the associated error spectra sky spectra and wavelengthcalibrated 2d spectra we also provide a catalog with the essential galaxy parameters including spectroscopic redshifts and redshift quality flags in this paper we present the survey layout and observations the data reduction and redshift measurement procedure and the general properties of the vandelsdr1 sample we also discuss the spectroscopic redshift distribution the accuracy of the photometric redshifts and we provide some examples of data products all vandelsdr1 data are publicly available and can be retrieved from the eso archive two further data releases are foreseen in the next 2 years with a final release scheduled for june 2020 which will include improved rereduction of the entire spectroscopic data set abridged
|
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|
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|
1,803.07374
|
Fastest Rates for Stochastic Mirror Descent Methods
|
Relative smoothness - a notion introduced by Birnbaum et al. (2011) and
rediscovered by Bauschke et al. (2016) and Lu et al. (2016) - generalizes the
standard notion of smoothness typically used in the analysis of gradient type
methods. In this work we are taking ideas from well studied field of stochastic
convex optimization and using them in order to obtain faster algorithms for
minimizing relatively smooth functions. We propose and analyze two new
algorithms: Relative Randomized Coordinate Descent (relRCD) and Relative
Stochastic Gradient Descent (relSGD), both generalizing famous algorithms in
the standard smooth setting. The methods we propose can be in fact seen as a
particular instances of stochastic mirror descent algorithms. One of them,
relRCD corresponds to the first stochastic variant of mirror descent algorithm
with linear convergence rate.
|
math.OC cs.CC cs.NA math.NA
|
relative smoothness a notion introduced by birnbaum et al 2011 and rediscovered by bauschke et al 2016 and lu et al 2016 generalizes the standard notion of smoothness typically used in the analysis of gradient type methods in this work we are taking ideas from well studied field of stochastic convex optimization and using them in order to obtain faster algorithms for minimizing relatively smooth functions we propose and analyze two new algorithms relative randomized coordinate descent relrcd and relative stochastic gradient descent relsgd both generalizing famous algorithms in the standard smooth setting the methods we propose can be in fact seen as a particular instances of stochastic mirror descent algorithms one of them relrcd corresponds to the first stochastic variant of mirror descent algorithm with linear convergence rate
|
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|
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|
1,803.07375
|
A surface with discontinuous isoperimetric profile
|
We show that there is a complete connected 2-dimensional Riemannian manifold
with discontinuous isoperimetric profile, answering a question of Nardulli and
Pansu.
|
math.DG
|
we show that there is a complete connected 2dimensional riemannian manifold with discontinuous isoperimetric profile answering a question of nardulli and pansu
|
[['we', 'show', 'that', 'there', 'is', 'a', 'complete', 'connected', '2dimensional', 'riemannian', 'manifold', 'with', 'discontinuous', 'isoperimetric', 'profile', 'answering', 'a', 'question', 'of', 'nardulli', 'and', 'pansu']]
|
[-0.18425393701446327, 0.032099616480991244, -0.06725411159409718, 0.06834645859833638, -0.1515440200878815, -0.22827503275634212, -0.003876295152374289, 0.41254450245337054, -0.2341875657439232, -0.2229347531683743, 0.10040776277045635, -0.30739012360572815, -0.2132256664759056, 0.15823919074186546, -0.19897706992924213, 0.02097032562067563, 0.1004372921518304, 0.061509199694476345, -0.06465086785928262, -0.23238823427395386, 0.4664224779064005, -0.1268480060071769, 0.18231134582310915, 0.19470901482484557, 0.1696050020612099, -0.05255964555015618, 0.0037765973670916123, 0.1702968365597454, -0.2306465863965224, 0.15025053432592275, 0.30645145814527164, 0.13005778803066773, 0.2651386615735563, -0.30720112650570547, -0.23786619703539394, 0.18363148986298422, 0.10249768730930307, -0.035551471297036515, -0.09676904303275725, -0.30850229623981495, 0.08241564109498127, -0.029708361507139423, -0.1770260944877836, -0.07015056226571853, 0.05593064905736934, -0.06478259479627013, -0.21067395484582943, 0.0782413836568594, 0.19975620542060246, 0.08027243990959092, -0.08148865211247043, 0.012195642106235027, -0.04584533221681009, 0.08305503997359086, -0.07416699357881126, 0.15333589767529207, 0.06613476860167627, -0.007877619259736755, -0.1318816434253346, 0.32887663088992913, -0.10121304994787682, -0.27811645437031984, 0.11204220909117298, -0.16487138747999613, -0.16144318002360789, 0.07645292004401033, 0.10484947272661058, 0.18465806577693333, -0.007294347848404537, 0.1724202228175603, -0.15755412558263, 0.14753688770261678, 0.10079967361790212, -0.15148356554775752, 0.09946279938925397, 0.1927388237619942, 0.23920677373693747, 0.10736177158965306, 0.05240917972035029, -0.0546593483410437, -0.27231417570940475, -0.21957563477652994, -0.16706194381483577, 0.22944983539425515, -0.12929755244972926, -0.2598101647401398, 0.3379857162521644, -0.03762068044902249, 0.2403609843247316, 0.1453344568991187, 0.22022921473465182, 0.04979332743889906, -0.05515632050281221, 0.1990193193143403, 0.07436458927325228, 0.20775629055093636, 0.029542593751102686, -0.08878447545099664, -0.050550106235525825, 0.13293205931867388]
|
1,803.07376
|
Sub-exponential Upper Bound for #XSAT of some CNF Classes
|
We derive an upper bound on the number of models for exact satisfiability
(XSAT) of arbitrary CNF formulas F. The bound can be calculated solely from the
distribution of positive and negated literals in the formula. For certain
subsets of CNF instances the new bound can be computed in sub-exponential time,
namely in at most O(exp(sqrt(n))) , where n is the number of variables of F. A
wider class of SAT problems beyond XSAT is defined to which the method can be
extended.
|
cs.CC
|
we derive an upper bound on the number of models for exact satisfiability xsat of arbitrary cnf formulas f the bound can be calculated solely from the distribution of positive and negated literals in the formula for certain subsets of cnf instances the new bound can be computed in subexponential time namely in at most oexpsqrtn where n is the number of variables of f a wider class of sat problems beyond xsat is defined to which the method can be extended
|
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|
[-0.11080279868142104, 0.11823869995175672, -0.06219562191378187, 0.08598143123607668, -0.07982664356973988, -0.15715106366846113, 0.08795207957334725, 0.2773117035006483, -0.286298220671058, -0.3777758467850494, 0.0793919276236269, -0.20276698895534614, -0.06196798846114105, 0.2578109726798433, -0.04312924860691347, 0.0772242929432886, -0.012267448861772815, 0.10529074142399578, -0.06476768191880834, -0.2817435464879245, 0.28865278258137866, -0.061432232321412476, 0.18839774329077313, 0.08215435291927906, 0.027307537982217325, -0.020404685834813634, 0.043711493987544085, 0.06095564827598907, -0.10565693486757853, 0.11098470663030942, 0.2839132592010252, 0.22709046563501528, 0.2572041073653065, -0.43743260926854466, -0.1326069852889136, 0.17554136248374427, 0.1447805432073864, 0.10264569973245401, 0.03751371081567795, -0.27466813386360434, 0.11149015404100035, -0.13354540581780452, -0.09391725992346987, -0.04407914447379701, 0.07640594740708669, 0.05355632281251378, -0.3205273745374547, 0.026109450703693762, 0.10584867476014259, -0.002735756938762526, -0.04432867397554219, -0.1946369997386671, 0.022815168771984768, 0.053320197532252395, -0.005981590678587694, 0.037851081688221495, 0.057984803803265095, -0.14266465232926018, -0.1081309803865022, 0.31977105842052417, -0.08113972946748506, -0.2290632762244822, 0.07827707770981907, -0.1280266932890187, -0.16915108922891964, 0.13395532895523457, 0.18812941850082557, 0.2134202017598314, -0.12145724607470595, 0.156920893651715, -0.1447960887518194, 0.1696994841719667, 0.11047903887559603, 0.025661080040865474, 0.1441484408131168, 0.08799672197481548, 0.06948416201788703, 0.21047865678297561, -0.028461488343223377, -0.06580261104843682, -0.30823497474193573, -0.16634689579232032, -0.2320118136703968, 0.03121841409140163, -0.1635405716518972, -0.1728053343148879, 0.35062098785958906, 0.11027821669079087, 0.1703424958259235, 0.17438880522177774, 0.2129237893825098, 0.2317184692501654, 0.08064560000899673, 0.07853558176645527, 0.13391384022471345, 0.11646398320150228, -0.04174720823051937, -0.18063199132922347, 0.16372870774019832, 0.1425549265652619]
|
1,803.07377
|
Model Order Reduction by means of Active Subspaces and Dynamic Mode
Decomposition for Parametric Hull Shape Design Hydrodynamics
|
We present the results of the application of a parameter space reduction
methodology based on active subspaces (AS) to the hull hydrodynamic design
problem. Several parametric deformations of an initial hull shape are
considered to assess the influence of the shape parameters on the hull wave
resistance. Such problem is relevant at the preliminary stages of the ship
design, when several flow simulations are carried out by the engineers to
establish a certain sensibility with respect to the parameters, which might
result in a high number of time consuming hydrodynamic simulations. The main
idea of this work is to employ the AS to identify possible lower dimensional
structures in the parameter space. The complete pipeline involves the use of
free form deformation to parametrize and deform the hull shape, the high
fidelity solver based on unsteady potential flow theory with fully nonlinear
free surface treatment directly interfaced with CAD, the use of dynamic mode
decomposition to reconstruct the final steady state given only few snapshots of
the simulation, and the reduction of the parameter space by AS, and shared
subspace. Response surface method is used to minimize the total drag.
|
math.NA
|
we present the results of the application of a parameter space reduction methodology based on active subspaces as to the hull hydrodynamic design problem several parametric deformations of an initial hull shape are considered to assess the influence of the shape parameters on the hull wave resistance such problem is relevant at the preliminary stages of the ship design when several flow simulations are carried out by the engineers to establish a certain sensibility with respect to the parameters which might result in a high number of time consuming hydrodynamic simulations the main idea of this work is to employ the as to identify possible lower dimensional structures in the parameter space the complete pipeline involves the use of free form deformation to parametrize and deform the hull shape the high fidelity solver based on unsteady potential flow theory with fully nonlinear free surface treatment directly interfaced with cad the use of dynamic mode decomposition to reconstruct the final steady state given only few snapshots of the simulation and the reduction of the parameter space by as and shared subspace response surface method is used to minimize the total drag
|
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|
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|
1,803.07378
|
Research of migration behavior of space charge packet in polyethylene by
electron beam irradiation method under the applied electric field
|
For accurately obtaining the relationship between the carrier mobility and
the applied electric field, a new multi-layer sample has been designed.
Polyvinyl fluoride (PVF) films were hot pressed on both sides of linear low
density polyethylene( LLDPE) to block the charge injection from the electrode,
so as to better observe the migration of irradiated electrons. The new
multi-layer sample was firstly charged to form a charge packet in the electron
beam (e-beam) irradiation setup. And then it was transferred to the Laser
Induced Pressure Propagation (LIPP) setup to have the space charge evolution
monitored under DC voltages on the order 10-70 kV/mm. The migration of the
charge packet has been successfully obtained in this new multi-layer sample. By
using the packet front as the reference point, the range of the average
mobility of packets at a range from 0.06*10-14 to 1.02*10-14 m2/(V*s) under
calibration local field. The experimental results coincide well with the curve
relating charge mobility and the electric field predicted from the Gunn
effect-like model.
|
physics.app-ph cond-mat.mtrl-sci
|
for accurately obtaining the relationship between the carrier mobility and the applied electric field a new multilayer sample has been designed polyvinyl fluoride pvf films were hot pressed on both sides of linear low density polyethylene lldpe to block the charge injection from the electrode so as to better observe the migration of irradiated electrons the new multilayer sample was firstly charged to form a charge packet in the electron beam ebeam irradiation setup and then it was transferred to the laser induced pressure propagation lipp setup to have the space charge evolution monitored under dc voltages on the order 1070 kvmm the migration of the charge packet has been successfully obtained in this new multilayer sample by using the packet front as the reference point the range of the average mobility of packets at a range from 0061014 to 1021014 m2vs under calibration local field the experimental results coincide well with the curve relating charge mobility and the electric field predicted from the gunn effectlike model
|
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|
[-0.08470469717470157, 0.13515530948998497, -0.05618452852330648, -0.019248091057084908, 0.00071325253627104, -0.13792705328328672, 0.07138009238015668, 0.4134560087582142, -0.2356349340293602, -0.34147997663310936, 0.04100143336037901, -0.30518579410911517, -0.0549663555092837, 0.17617370145219355, -0.020280692184048637, 0.08001952032024813, -0.02737647381173901, -0.014133556486851332, -0.040608140077759945, -0.18975978566364884, 0.2533902082558176, 0.09631383574742358, 0.3654737689180254, 0.0683225511875651, 0.10155455213006041, 0.025066037548751367, 0.0592384527965517, 0.030835461197811373, -0.12208102698148252, 0.03501428394555682, 0.20425078169323457, -0.008507284940583858, 0.19686960544232734, -0.4741467449114613, -0.25156018481498993, 0.0001350614137907808, 0.09628600128301669, 0.12399728487177593, -0.1024736331565669, -0.27136673497762986, 0.09316261013878918, -0.16821508818851194, -0.1173790423909384, -0.004182426196454865, 0.005983736426370763, 0.06525348624847715, -0.2691016720250113, 0.0425351325858373, -0.008838027663863969, 0.04423424993959687, -0.10139214157740153, -0.12074312432555527, -0.07926313140253513, 0.10151319965867825, 0.05729436133661671, 0.06726221386510055, 0.22414597804465036, -0.08352670004156917, -0.041434911875446075, 0.3294845682046399, -0.07695112270430843, -0.1276519143224194, 0.16268327159710547, -0.17825388733532546, -0.0038522981879551238, 0.18795838714442387, 0.17218611477703855, 0.10322973593358212, -0.18848594964663612, 0.029184335815044482, -0.020365011369349525, 0.15032967227804275, 0.12425836873604212, 0.007478819221610249, 0.2150292559242921, 0.18282353998411718, 0.04422957298705048, 0.13337422300147164, -0.17838445116152488, -0.02392944995393386, -0.2083844927923254, -0.1480538879305397, -0.17399443983577373, 0.06471663560695583, -0.049991203079915114, -0.12541855896664103, 0.4431718711516956, 0.13166536568811663, 0.16206686539439166, -0.025574702569340333, 0.28368581649804736, 0.11896232019672624, 0.09232853667327151, 0.048718140741562464, 0.23803878137444304, 0.1608454118079574, 0.1603190578355613, -0.2579907179205315, 0.08001878890691598, -0.007902753329267952]
|
1,803.07379
|
Global computation of phase-amplitude reduction for limit-cycle dynamics
|
Recent years have witnessed increasing interest to phase-amplitude reduction
of limit-cycle dynamics. Adding an amplitude coordinate to the phase coordinate
allows to take into account the dynamics transversal to the limit cycle and
thereby overcomes the main limitations of classic phase reduction (strong
convergence to the limit cycle and weak inputs). While previous studies mostly
focus on local quantities such as infinitesimal responses, a major and limiting
challenge of phase-amplitude reduction is to compute amplitude coordinates
globally, in the basin of attraction of the limit cycle.
In this paper, we propose a method to compute the full set of phase-amplitude
coordinates in the large. Our method is based on the so-called Koopman
(composition) operator and aims at computing the eigenfunctions of the operator
through Laplace averages (in combination with the harmonic balance method).
This yields a forward integration method that is not limited to two-dimensional
systems. We illustrate the method by computing the so-called isostables of
limit cycles in two, three, and four-dimensional state spaces, as well as their
responses to strong external inputs.
|
math.DS
|
recent years have witnessed increasing interest to phaseamplitude reduction of limitcycle dynamics adding an amplitude coordinate to the phase coordinate allows to take into account the dynamics transversal to the limit cycle and thereby overcomes the main limitations of classic phase reduction strong convergence to the limit cycle and weak inputs while previous studies mostly focus on local quantities such as infinitesimal responses a major and limiting challenge of phaseamplitude reduction is to compute amplitude coordinates globally in the basin of attraction of the limit cycle in this paper we propose a method to compute the full set of phaseamplitude coordinates in the large our method is based on the socalled koopman composition operator and aims at computing the eigenfunctions of the operator through laplace averages in combination with the harmonic balance method this yields a forward integration method that is not limited to twodimensional systems we illustrate the method by computing the socalled isostables of limit cycles in two three and fourdimensional state spaces as well as their responses to strong external inputs
|
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|
[-0.13509648115857203, 0.07915954325883716, -0.06977214213546323, 0.029502397700849836, -0.04890363238452152, -0.05583785150812982, 0.07319059220594942, 0.33451135155220313, -0.2797665906984402, -0.2635392372004003, 0.1128371575995798, -0.26003929203512993, -0.15463741606197737, 0.19689590213070998, -0.08371097970775318, 0.06794957280019834, 0.06491129808716647, 0.005320390710478713, -0.0602985737275268, -0.19430068556497665, 0.3103547844267718, 0.05457126094167517, 0.30269681402694854, 0.014165930281361115, 0.1257417090638573, 0.027434067249340915, -0.027932503498855166, 0.018847478649996478, -0.08219014392817298, 0.11741992792291246, 0.2167582479787284, 0.10109401468572946, 0.29460996738367384, -0.4393159926215979, -0.20122419773526062, 0.12594504523540623, 0.16386046781386623, 0.1245500452150109, 0.01408690780042617, -0.2547969347957907, 0.043777663565786745, -0.15059157763875422, -0.1514655883536385, -0.13125850344357756, 0.04854474426782422, 0.04432228727810802, -0.24295792373930286, 0.04868941103247391, 0.09741203950105193, 0.061412871654691364, -0.054029261305641875, -0.0854595117538568, -0.00496858027067849, 0.15025762620853025, 0.06684741460391716, 0.029854914347437776, 0.11072901321371653, -0.09742512311732889, -0.09471476134802644, 0.36628213138908317, -0.0964761928604359, -0.20546971557892046, 0.17951370109723688, -0.1519201544900264, -0.12942972268117056, 0.13259904182197568, 0.17569766979063753, 0.10319291652650599, -0.1491926191856378, 0.09177938656682073, 0.027582152050133025, 0.1335970871003302, 0.038095121257189106, 0.025503603413690352, 0.159604552480253, 0.16757449505572347, 0.11566986789760961, 0.15375952408033497, -0.07320364897845891, -0.14839874843942355, -0.27559586707770223, -0.1050036293026274, -0.1642144198687319, 0.03017763331696062, -0.0971396185517754, -0.18465711554276876, 0.40500128681064934, 0.15071971531175934, 0.2176589897362751, 0.046418186804365325, 0.3177073882496648, 0.16362454963323791, 0.057896017432132546, 0.044612092289795305, 0.24672363754683013, 0.1510720691689151, 0.11028355344910518, -0.2478987116168585, 0.01881292764292816, 0.13964720479287634]
|
1,803.0738
|
Effective filtering analysis for non-Gaussian dynamic systems
|
This work is about a slow-fast data assimilation system under non-Gaussian
noisy fluctuations. Firstly, we show the existence of a random invariant
manifold for a stochastic dynamical system with non-Gaussian noise and two-time
scales. Secondly, we obtain a low dimensional reduction of this system via a
random invariant manifold. Thirdly, we prove that the low dimensional filter on
the random invariant manifold approximates the original filter, in a
probabilistic sense.
|
math.PR
|
this work is about a slowfast data assimilation system under nongaussian noisy fluctuations firstly we show the existence of a random invariant manifold for a stochastic dynamical system with nongaussian noise and twotime scales secondly we obtain a low dimensional reduction of this system via a random invariant manifold thirdly we prove that the low dimensional filter on the random invariant manifold approximates the original filter in a probabilistic sense
|
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|
[-0.16745518555066416, 0.10809735882628177, -0.15414727447288376, 0.10398603642326114, -0.015397214011422225, -0.1565765345884886, 0.0026133247252021516, 0.3209057912496584, -0.29522366899930474, -0.2102557022390621, 0.13591693595018503, -0.22505148558744362, -0.24174510456089462, 0.13828056757338344, -0.12496369260230235, 0.10643208938251648, 0.10190578854110624, 0.04651327458143766, -0.10528835117584094, -0.24514217487137233, 0.37116956833217823, 0.03417156297447426, 0.27484930511564015, -0.09383818664604665, 0.25687133701950576, 0.022887216263916342, -0.003720490581222943, 0.04302269676700234, -0.09857720593375104, 0.08786873912571797, 0.19990097350174826, 0.05789105810025441, 0.2972778587735125, -0.32748435164934825, -0.23961506402785224, 0.12042473273052434, 0.1117258912347357, 0.16508860251467142, -0.012431531574111431, -0.33152717061872994, 0.10323649877017098, -0.12252128737579498, -0.11772164126991161, -0.13779524613970093, -0.023746071915541376, -0.012373267709543662, -0.3473205994016358, 0.10032234928969826, 0.11503849314716977, 0.07725767688825727, -0.04529655235154288, -0.0536403025251015, -0.00222208598362548, 0.04058388387784362, -0.0143092733308939, 0.0058118521302406275, 0.15964813276992312, -0.05327435943036107, -0.08578836112782093, 0.30662626276857086, -0.14100556593953764, -0.29174092553023784, 0.18364949911566716, -0.1320701215682285, -0.2049578555593533, 0.13879215483902954, 0.209525355430586, 0.09069289618970028, -0.1671836793023561, 0.1325620438437909, -0.07077734115134393, 0.18440123621507415, 0.022965350188314915, 0.04928712590065386, 0.11885039980656334, 0.17922923152717496, 0.16853257298269975, 0.18534351321369677, -0.09797617122863553, -0.12886883193028292, -0.29681519685047014, -0.13388077152360764, -0.20919320611948414, 0.15601275298478348, -0.138795593793163, -0.20617061882678953, 0.3894163267953055, 0.16852882190973364, 0.23563529716006348, 0.12189787995136742, 0.3028319444241268, 0.16522265781781503, -0.06314444428592521, 0.0968999654520303, 0.10640046302245797, 0.1459466625337622, 0.10810153298745198, -0.17620351903606207, -0.006473913589226348, 0.0751312492548355]
|
1,803.07381
|
Convolution, Product and Correlation Theorems for Simplified Fractional
Fourier Transform: A Mathematical Investigation
|
The notion of fractional Fourier transform (FrFT) has been used and
investigated for many years by various research communities, which finds
widespread applications in many diverse fields of research study. The potential
applications includes ranging from quantum physics, harmonic analysis, optical
information processing, pattern recognition to varied allied areas of signal
processing. Many significant theorems and properties of the FrFT have been
investigated and applied to many signal processing applications, most important
among these are convolution, product and correlation theorems. Still many
magnificent research works related to the conventional FrFT lacks the elegance
and simplicity of the convolution, product and correlation theorems similar to
the Euclidean Fourier transform (FT), which for convolution theorem states that
the FT of the convolution of two functions is the product of their respective
FTs. The purpose of this paper is to devise the equivalent elegancy of
convolution, product and correlation theorems, as in the case of Euclidean FT.
Building on the seminal work of Pei et al. and the potential of the simplified
fractional Fourier transform (SmFrFT), a detailed mathematical investigation is
established to present an elegant definition of convolution, product and
correlation theorems in the SmFrFT domain, along with their associated
important properties. It has been shown that the established theorems along
with their associated properties very nicely generalizes to the classical
Euclidean FT.
|
eess.SP
|
the notion of fractional fourier transform frft has been used and investigated for many years by various research communities which finds widespread applications in many diverse fields of research study the potential applications includes ranging from quantum physics harmonic analysis optical information processing pattern recognition to varied allied areas of signal processing many significant theorems and properties of the frft have been investigated and applied to many signal processing applications most important among these are convolution product and correlation theorems still many magnificent research works related to the conventional frft lacks the elegance and simplicity of the convolution product and correlation theorems similar to the euclidean fourier transform ft which for convolution theorem states that the ft of the convolution of two functions is the product of their respective fts the purpose of this paper is to devise the equivalent elegancy of convolution product and correlation theorems as in the case of euclidean ft building on the seminal work of pei et al and the potential of the simplified fractional fourier transform smfrft a detailed mathematical investigation is established to present an elegant definition of convolution product and correlation theorems in the smfrft domain along with their associated important properties it has been shown that the established theorems along with their associated properties very nicely generalizes to the classical euclidean ft
|
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|
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|
1,803.07382
|
Evaluation of the path integral for flow through random porous media
|
We present a path integral formulation of Darcy's equation in one dimension
with random permeability described by a correlated multi-variate lognormal
distribution. This path integral is evaluated with the Markov chain Monte Carlo
method to obtain pressure distributions, which are shown to agree with the
solutions of the corresponding stochastic differential equation for Dirichlet
and Neumann boundary conditions. The extension of our approach to flow through
random media in two and three dimensions is discussed.
|
physics.comp-ph cond-mat.mtrl-sci physics.flu-dyn physics.geo-ph
|
we present a path integral formulation of darcys equation in one dimension with random permeability described by a correlated multivariate lognormal distribution this path integral is evaluated with the markov chain monte carlo method to obtain pressure distributions which are shown to agree with the solutions of the corresponding stochastic differential equation for dirichlet and neumann boundary conditions the extension of our approach to flow through random media in two and three dimensions is discussed
|
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|
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|
1,803.07383
|
Homotopy equivalence of shifted cotangent bundles
|
Given a bundle of chain complexes, the algebra of functions on its shifted
cotangent bundle has a natural structure of a shifted Poisson algebra. We show
that if two such bundles are homotopy equivalent, the corresponding Poisson
algebras are homotopy equivalent. We apply this result to $L_\infty$-algebroids
to show that two homotopy equivalent bundles have the same $L_\infty$-algebroid
structures and explore some consequence on the theory of shifted Poisson
structures.
|
math.DG
|
given a bundle of chain complexes the algebra of functions on its shifted cotangent bundle has a natural structure of a shifted poisson algebra we show that if two such bundles are homotopy equivalent the corresponding poisson algebras are homotopy equivalent we apply this result to l_inftyalgebroids to show that two homotopy equivalent bundles have the same l_inftyalgebroid structures and explore some consequence on the theory of shifted poisson structures
|
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|
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|
1,803.07384
|
On Low-Resolution ADCs in Practical 5G Millimeter-Wave Massive MIMO
Systems
|
Nowadays, millimeter-wave (mmWave) massive multiple-input multiple-output
(MIMO) systems is a favorable candidate for the fifth generation (5G) cellular
systems. However, a key challenge is the high power consumption imposed by its
numerous radio frequency (RF) chains, which may be mitigated by opting for
low-resolution analog-to-digital converters (ADCs), whilst tolerating a
moderate performance loss. In this article, we discuss several important issues
based on the most recent research on mmWave massive MIMO systems relying on
low-resolution ADCs. We discuss the key transceiver design challenges including
channel estimation, signal detector, channel information feedback and transmit
precoding. Furthermore, we introduce a mixed-ADC architecture as an alternative
technique of improving the overall system performance. Finally, the associated
challenges and potential implementations of the practical 5G mmWave massive
MIMO system {with ADC quantizers} are discussed.
|
cs.IT math.IT
|
nowadays millimeterwave mmwave massive multipleinput multipleoutput mimo systems is a favorable candidate for the fifth generation 5g cellular systems however a key challenge is the high power consumption imposed by its numerous radio frequency rf chains which may be mitigated by opting for lowresolution analogtodigital converters adcs whilst tolerating a moderate performance loss in this article we discuss several important issues based on the most recent research on mmwave massive mimo systems relying on lowresolution adcs we discuss the key transceiver design challenges including channel estimation signal detector channel information feedback and transmit precoding furthermore we introduce a mixedadc architecture as an alternative technique of improving the overall system performance finally the associated challenges and potential implementations of the practical 5g mmwave massive mimo system with adc quantizers are discussed
|
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|
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|
1,803.07385
|
Are you eligible? Predicting adulthood from face images via class
specific mean autoencoder
|
Predicting if a person is an adult or a minor has several applications such
as inspecting underage driving, preventing purchase of alcohol and tobacco by
minors, and granting restricted access. The challenging nature of this problem
arises due to the complex and unique physiological changes that are observed
with age progression. This paper presents a novel deep learning based
formulation, termed as Class Specific Mean Autoencoder, to learn the
intra-class similarity and extract class-specific features. We propose that the
feature of a particular class if brought similar/closer to the mean feature of
that class can help in learning class-specific representations. The proposed
formulation is applied for the task of adulthood classification which predicts
whether the given face image is of an adult or not. Experiments are performed
on two large databases and the results show that the proposed algorithm yields
higher classification accuracy compared to existing algorithms and a
Commercial-Off-The-Shelf system.
|
cs.CV
|
predicting if a person is an adult or a minor has several applications such as inspecting underage driving preventing purchase of alcohol and tobacco by minors and granting restricted access the challenging nature of this problem arises due to the complex and unique physiological changes that are observed with age progression this paper presents a novel deep learning based formulation termed as class specific mean autoencoder to learn the intraclass similarity and extract classspecific features we propose that the feature of a particular class if brought similarcloser to the mean feature of that class can help in learning classspecific representations the proposed formulation is applied for the task of adulthood classification which predicts whether the given face image is of an adult or not experiments are performed on two large databases and the results show that the proposed algorithm yields higher classification accuracy compared to existing algorithms and a commercialofftheshelf system
|
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|
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|
1,803.07386
|
Residual Codean Autoencoder for Facial Attribute Analysis
|
Facial attributes can provide rich ancillary information which can be
utilized for different applications such as targeted marketing, human computer
interaction, and law enforcement. This research focuses on facial attribute
prediction using a novel deep learning formulation, termed as R-Codean
autoencoder. The paper first presents Cosine similarity based loss function in
an autoencoder which is then incorporated into the Euclidean distance based
autoencoder to formulate R-Codean. The proposed loss function thus aims to
incorporate both magnitude and direction of image vectors during feature
learning. Further, inspired by the utility of shortcut connections in deep
models to facilitate learning of optimal parameters, without incurring the
problem of vanishing gradient, the proposed formulation is extended to
incorporate shortcut connections in the architecture. The proposed R-Codean
autoencoder is utilized in facial attribute prediction framework which
incorporates patch-based weighting mechanism for assigning higher weights to
relevant patches for each attribute. The experimental results on publicly
available CelebA and LFWA datasets demonstrate the efficacy of the proposed
approach in addressing this challenging problem.
|
cs.CV
|
facial attributes can provide rich ancillary information which can be utilized for different applications such as targeted marketing human computer interaction and law enforcement this research focuses on facial attribute prediction using a novel deep learning formulation termed as rcodean autoencoder the paper first presents cosine similarity based loss function in an autoencoder which is then incorporated into the euclidean distance based autoencoder to formulate rcodean the proposed loss function thus aims to incorporate both magnitude and direction of image vectors during feature learning further inspired by the utility of shortcut connections in deep models to facilitate learning of optimal parameters without incurring the problem of vanishing gradient the proposed formulation is extended to incorporate shortcut connections in the architecture the proposed rcodean autoencoder is utilized in facial attribute prediction framework which incorporates patchbased weighting mechanism for assigning higher weights to relevant patches for each attribute the experimental results on publicly available celeba and lfwa datasets demonstrate the efficacy of the proposed approach in addressing this challenging problem
|
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|
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|
1,803.07387
|
Sustainable Online Communities Exhibit Distinct Hierarchical Structures
Across Scales of Size
|
Online communities exist in many forms and sizes, and are a source of
considerable influence for individuals and organizations. Yet, there is limited
insight into why some online communities are sustainable, while others cease to
exist. We find that communities that fail to maintain a typical hierarchical
social structure which balances cohesiveness across size scales do not survive,
and can be distinguished from communities that exhibit such balance and prevail
in the long term. Moreover, in an analysis of 10,122 real-life online
communities with a total of 134,747 members over a period of more than a
decade, we find that mapping the community social circle structure in the first
30 days of its lifetime is sufficient to forecast the survival of the community
up to ten years in the future. By varying calibration time frames, the aspects
of the social structure that allows for predictive power emerge and fixate
within the first couple of months in a community's lifetime.
|
physics.soc-ph cond-mat.stat-mech cs.SI
|
online communities exist in many forms and sizes and are a source of considerable influence for individuals and organizations yet there is limited insight into why some online communities are sustainable while others cease to exist we find that communities that fail to maintain a typical hierarchical social structure which balances cohesiveness across size scales do not survive and can be distinguished from communities that exhibit such balance and prevail in the long term moreover in an analysis of 10122 reallife online communities with a total of 134747 members over a period of more than a decade we find that mapping the community social circle structure in the first 30 days of its lifetime is sufficient to forecast the survival of the community up to ten years in the future by varying calibration time frames the aspects of the social structure that allows for predictive power emerge and fixate within the first couple of months in a communitys lifetime
|
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|
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|
1,803.07388
|
Entropy of mixing exists only for classical and quantum-like theories
among the regular polygon theories
|
The thermodynamical entropy of a system which consists of different kinds of
ideal gases is known to be defined successfully in the case when the
differences are described by classical or quantum theory. Since these theories
are special examples in the framework of generalized probabilistic theories
(GPTs), it is natural to generalize the notion of thermodynamical entropy to
systems where the internal degrees of particles are described by other possible
theories. In this paper, we consider thermodynamical entropy of mixing in a
specific series of theories of GPTs called the regular polygon theories, which
can be regarded from a geometrical perspective as intermediate theories between
a classical trit and a quantum bit with real coefficients. We prove that the
operationally natural thermodynamical entropy of mixing does not exist in those
inbetween theories, that is, the existence of the natural entropy results in
classical and quantum-like theories among the regular polygon theories.
|
quant-ph
|
the thermodynamical entropy of a system which consists of different kinds of ideal gases is known to be defined successfully in the case when the differences are described by classical or quantum theory since these theories are special examples in the framework of generalized probabilistic theories gpts it is natural to generalize the notion of thermodynamical entropy to systems where the internal degrees of particles are described by other possible theories in this paper we consider thermodynamical entropy of mixing in a specific series of theories of gpts called the regular polygon theories which can be regarded from a geometrical perspective as intermediate theories between a classical trit and a quantum bit with real coefficients we prove that the operationally natural thermodynamical entropy of mixing does not exist in those inbetween theories that is the existence of the natural entropy results in classical and quantumlike theories among the regular polygon theories
|
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|
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|
1,803.07389
|
Rebuttal to Schmelzer and Tropin: Glass Transition, Crystallization of
Glass-Forming Melts, and Entropy
|
In a recent article, Schmelzer and Tropin [Entropy 20 [2] 103 (2018)]
presented an unfounded, confusing critique of several aspects of modern glass
science. Relying on pre-Socratic Greek philosophy and state-of-the-art
scientific understanding from the 1920s-1930s, Schmelzer and Tropin propagate
an antiquated view of glass physics that is at odds with well-accepted
knowledge in the field from both theory and experiments conducted in the
post-World War II era. The objective of this short letter is to elucidate and
extinguish their critique. This rebuttal is directed to our colleagues and
especially to students who might otherwise become confused.
|
cond-mat.mtrl-sci cond-mat.soft
|
in a recent article schmelzer and tropin entropy 20 2 103 2018 presented an unfounded confusing critique of several aspects of modern glass science relying on presocratic greek philosophy and stateoftheart scientific understanding from the 1920s1930s schmelzer and tropin propagate an antiquated view of glass physics that is at odds with wellaccepted knowledge in the field from both theory and experiments conducted in the postworld war ii era the objective of this short letter is to elucidate and extinguish their critique this rebuttal is directed to our colleagues and especially to students who might otherwise become confused
|
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|
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|
1,803.0739
|
Measuring environmental quantum noise exhibiting a non-monotonous
spectral shape
|
Understanding the physical origin of noise affecting quantum systems is
important for nearly every quantum application. Quantum noise spectroscopy has
been employed in various quantum systems, such as superconducting qubits, NV
centers and trapped ions. Traditional spectroscopy methods are usually
efficient in measuring noise spectra with mostly monotonically decaying
contributions. However, there are important scenarios in which the noise
spectrum is broadband and non-monotonous, thus posing a challenge to existing
noise spectroscopy schemes. Here, we compare several methods for noise
spectroscopy: spectral decomposition based on the Carr-Purcell-Meiboom-Gill
(CPMG) sequence, the recently presented DYnamic Sensitivity COntrol (DYSCO)
sequence and a modified DYSCO sequence with a Gaussian envelope (gDYSCO). The
performance of the sequences is quantified by analytic and numeric
determination of the frequency resolution, bandwidth and sensitivity, revealing
a supremacy of gDYSCO to reconstruct non-trivial features. Utilizing an
ensemble of nitrogen-vacancy centers in diamond coupled to a high density
$^{13}$C nuclear spin environment, we experimentally confirm our findings. The
combination of the presented schemes offers potential to record high quality
noise spectra as a prerequisite to generate quantum systems unlimited by their
spin-bath environment.
|
quant-ph
|
understanding the physical origin of noise affecting quantum systems is important for nearly every quantum application quantum noise spectroscopy has been employed in various quantum systems such as superconducting qubits nv centers and trapped ions traditional spectroscopy methods are usually efficient in measuring noise spectra with mostly monotonically decaying contributions however there are important scenarios in which the noise spectrum is broadband and nonmonotonous thus posing a challenge to existing noise spectroscopy schemes here we compare several methods for noise spectroscopy spectral decomposition based on the carrpurcellmeiboomgill cpmg sequence the recently presented dynamic sensitivity control dysco sequence and a modified dysco sequence with a gaussian envelope gdysco the performance of the sequences is quantified by analytic and numeric determination of the frequency resolution bandwidth and sensitivity revealing a supremacy of gdysco to reconstruct nontrivial features utilizing an ensemble of nitrogenvacancy centers in diamond coupled to a high density 13c nuclear spin environment we experimentally confirm our findings the combination of the presented schemes offers potential to record high quality noise spectra as a prerequisite to generate quantum systems unlimited by their spinbath environment
|
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|
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|
1,803.07391
|
Trivial solutions of generalized supergravity vs non-abelian T-duality
anomaly
|
The equations that follow from kappa symmetry of the type II Green-Schwarz
string are a certain deformation, by a Killing vector field $K$, of the type II
supergravity equations. We analyze under what conditions solutions of these
`generalized' supergravity equations are trivial in the sense that they solve
also the standard supergravity equations. We argue that for this to happen $K$
must be null and satisfy $dK=i_KH$ with $H=dB$ the NSNS three-form field
strength. Non-trivial examples are provided by symmetric pp-wave solutions. We
then analyze the consequences for non-abelian T-duality and the closely related
homogenous Yang-Baxter sigma models. When one performs non-abelian T-duality of
a string sigma model on a non-unimodular (sub)algebra one generates a
non-vanishing $K$ proportional to the trace of the structure constants. This is
expected to lead to an anomaly but we show that when $K$ satisfies the same
conditions the anomaly in fact goes away leading to more possibilities for
non-anomalous non-abelian T-duality.
|
hep-th
|
the equations that follow from kappa symmetry of the type ii greenschwarz string are a certain deformation by a killing vector field k of the type ii supergravity equations we analyze under what conditions solutions of these generalized supergravity equations are trivial in the sense that they solve also the standard supergravity equations we argue that for this to happen k must be null and satisfy dki_kh with hdb the nsns threeform field strength nontrivial examples are provided by symmetric ppwave solutions we then analyze the consequences for nonabelian tduality and the closely related homogenous yangbaxter sigma models when one performs nonabelian tduality of a string sigma model on a nonunimodular subalgebra one generates a nonvanishing k proportional to the trace of the structure constants this is expected to lead to an anomaly but we show that when k satisfies the same conditions the anomaly in fact goes away leading to more possibilities for nonanomalous nonabelian tduality
|
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|
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|
1,803.07392
|
Interaction-driven spin-orbit effects and Chern insulating phases in
corundum-based $4d$ and $5d$ oxide honeycomb lattices
|
Using density functional theory calculations with a Hubbard $U$, we explore
topologically nontrivial phases in $X_2$O$_3$ honeycomb layers with $X=$ $4d$
and $5d$ cation inserted in the band insulator $\alpha$-Al$_2$O$_3$ along the
[0001]-direction. Several promising candidates for quantum anomalous Hall
insulators (QAHI) are identified. In particular, for $X$=Tc and Pt spin-orbit
coupling (SOC) opens a gap of 54 and 59 meV, respectively, leading to Chern
insulators (CI) with $C$=--2 and --1. The nature of different Chern numbers is
related to the corresponding spin textures. The Chern insulating phase is
sensitive to the Coulomb repulsion strength: $X$=Tc undergoes a transition from
a CI to a trivial metallic state beyond a critical strength of $U_c$ =2.5 eV. A
comparison between the isoelectronic metastable FM phases of $X$=Pd and Pt
emphasizes the intricate balance between electronic correlations and SOC: while
the former is a trivial insulator, the latter is a Chern insulator. In
addition, $X$=Os turns out to be a FM Mott insulator with an unpaired electron
in the $t_{2g}$ manifold where SOC induces an unusually high orbital moment of
0.34 $\mu_{\rm B}$ along the $z$-axis. Parallels to the $3d$ honeycomb corundum
cases are discussed.
|
cond-mat.str-el
|
using density functional theory calculations with a hubbard u we explore topologically nontrivial phases in x_2o_3 honeycomb layers with x 4d and 5d cation inserted in the band insulator alphaal_2o_3 along the 0001direction several promising candidates for quantum anomalous hall insulators qahi are identified in particular for xtc and pt spinorbit coupling soc opens a gap of 54 and 59 mev respectively leading to chern insulators ci with c2 and 1 the nature of different chern numbers is related to the corresponding spin textures the chern insulating phase is sensitive to the coulomb repulsion strength xtc undergoes a transition from a ci to a trivial metallic state beyond a critical strength of u_c 25 ev a comparison between the isoelectronic metastable fm phases of xpd and pt emphasizes the intricate balance between electronic correlations and soc while the former is a trivial insulator the latter is a chern insulator in addition xos turns out to be a fm mott insulator with an unpaired electron in the t_2g manifold where soc induces an unusually high orbital moment of 034 mu_rm b along the zaxis parallels to the 3d honeycomb corundum cases are discussed
|
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|
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|
1,803.07393
|
Information-constrained Optimal Control of Distributed Systems with
Power Constraints
|
In this paper we address the problem of information-constrained optimal
control for an interconnected system subject to one-step communication delays
and power constraints. The goal is to minimize a finite-horizon quadratic cost
by optimally choosing the control inputs for the subsystems, accounting for
power constraints in the overall system and different information available at
the decision makers. To this purpose, due to the quadratic nature of the power
constraints, the LQG problem is reformulated as a linear problem in the
covariance of state-input aggregated vector. The zero-duality gap allows us to
equivalently consider the dual problem, and decompose it into several
sub-problems according to the information structure present in the system.
Finally, the optimal control inputs are found in a form that allows for offline
computation of the control gains.
|
cs.SY
|
in this paper we address the problem of informationconstrained optimal control for an interconnected system subject to onestep communication delays and power constraints the goal is to minimize a finitehorizon quadratic cost by optimally choosing the control inputs for the subsystems accounting for power constraints in the overall system and different information available at the decision makers to this purpose due to the quadratic nature of the power constraints the lqg problem is reformulated as a linear problem in the covariance of stateinput aggregated vector the zeroduality gap allows us to equivalently consider the dual problem and decompose it into several subproblems according to the information structure present in the system finally the optimal control inputs are found in a form that allows for offline computation of the control gains
|
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|
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|
1,803.07394
|
Capillary nanostamping with spongy mesoporous silica stamps
|
Classical microcontact printing involves transfer of molecules adsorbed on
the outer surfaces of solid stamps to substrates to be patterned. We prepared
spongy mesoporous silica stamps that can be soaked with ink and that were
topographically patterned with arrays of submicron contact elements. Multiple
successive stamping steps can be carried out under ambient conditions without
ink refilling. Lattices of fullerene nanoparticles with diameters in the 100 nm
range were obtained by stamping C60/toluene solutions on perfluorinated glass
slides partially wetted by toluene. Stamping an ethanolic 1-dodecanethiol
solution onto gold-coated glass slides yielded arrays of submicron dots of
adsorbed 1-dodecantethiol molecules, even though macroscopic ethanol drops
spread on gold. This outcome may be related to the pressure drop across the
concave ink menisci at the mesopore openings on the stamp surface counteracting
the van der Waals forces between ink and gold surface and/or to reduced
wettability of the 1-dodecanethiol dots themselves by ethanol. The chemical
surface heterogeneity of gold-coated glass slides functionalized with submicron
1-dodecanethiol dots was evidenced by dewetting of molten polystyrene films
eventually yielding ordered arrays of polystyrene nanoparticles
|
physics.app-ph cond-mat.mtrl-sci
|
classical microcontact printing involves transfer of molecules adsorbed on the outer surfaces of solid stamps to substrates to be patterned we prepared spongy mesoporous silica stamps that can be soaked with ink and that were topographically patterned with arrays of submicron contact elements multiple successive stamping steps can be carried out under ambient conditions without ink refilling lattices of fullerene nanoparticles with diameters in the 100 nm range were obtained by stamping c60toluene solutions on perfluorinated glass slides partially wetted by toluene stamping an ethanolic 1dodecanethiol solution onto goldcoated glass slides yielded arrays of submicron dots of adsorbed 1dodecantethiol molecules even though macroscopic ethanol drops spread on gold this outcome may be related to the pressure drop across the concave ink menisci at the mesopore openings on the stamp surface counteracting the van der waals forces between ink and gold surface andor to reduced wettability of the 1dodecanethiol dots themselves by ethanol the chemical surface heterogeneity of goldcoated glass slides functionalized with submicron 1dodecanethiol dots was evidenced by dewetting of molten polystyrene films eventually yielding ordered arrays of polystyrene nanoparticles
|
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|
[-0.06575446259989037, 0.26643440759751563, -0.07170355196236476, -0.13441042982243273, 0.04568947550155264, -0.22127500097424294, 0.03003016751379905, 0.4768319846591337, -0.22988693463207965, -0.2932438079242888, 0.05667814996951584, -0.3411936466006583, -0.09424490616539116, 0.1628317405728707, -0.059113492339073155, 0.056464964537318856, 0.04131261919614639, -0.184218301082009, -0.03225139365662308, -0.23862952802963344, 0.19542689611507433, 0.018097870402414812, 0.27832709036877357, 0.1273068017277244, 0.08651115362312686, -0.012070217533455638, 0.13249452894009398, 0.03833307575936733, -0.23237436020191238, 0.09534067087518994, 0.24176076111472683, -0.13957154510799125, 0.17455285152922687, -0.588038401134061, -0.20999607909994011, -0.011228023979844253, 0.10644322411900156, 0.10193245709753397, -0.06649378309447548, -0.284590385775762, 0.054933125694220875, -0.06125349021814973, -0.11121517613927802, 0.015940105877398105, -0.02663509530444326, 0.08779404563319168, -0.1579992539371008, 0.035305572302195797, 0.044689904253542675, 0.09155210855631472, -0.05150953681061693, -0.13948843703249447, -0.102130565015348, 0.082985652414454, -0.020480429989107873, -0.035495961820078865, 0.35760711074095175, -0.057701697297069886, -0.0045769867262269335, 0.33928801939728553, -0.040995439866379824, -0.13285614742133556, 0.20936983745948023, -0.12314504465831214, 0.05650953958700464, 0.2770910958832737, 0.12147558611828123, 0.13961612649838795, -0.16561473509443275, -0.028139890640518847, -0.0004115743651525693, 0.27246770663468134, 0.29823487672661797, -0.07928327292863153, 0.28155025527904104, 0.2614320440275406, -0.017680379112115067, 0.20119870713489454, -0.10954675488592533, -0.00788216619736651, -0.11761254406425568, -0.2629636818244844, -0.2302639624182386, 0.08648410009016189, -0.12092021663213447, -0.24699667778933485, 0.24686162056286265, -0.01495743981461836, 0.11403464719527558, -0.00664060493604819, 0.20946731757839587, -0.10591089863884734, 0.11882143885190233, -0.0990497319150737, 0.1925580713667729, 0.1299189054681867, 0.1046400001230702, -0.20594644551937144, 0.12589386807168634, 0.023899823526611155]
|
1,803.07395
|
Max-Min Fairness User Scheduling and Power Allocation in Full-Duplex
OFDMA Systems
|
In a full-duplex (FD) multi-user network, the system performance is not only
limited by the self-interference but also by the co-channel interference due to
the simultaneous uplink and downlink transmissions. Joint design of the
uplink/downlink transmission direction of users and the power allocation is
crucial for achieving high system performance in the FD multi-user network. In
this paper, we investigate the joint uplink/downlink transmission direction
assignment (TDA), user paring (UP) and power allocation problem for maximizing
the system max-min fairness (MMF) rate in a FD multi-user orthogonal frequency
division multiple access (OFDMA) system. The problem is formulated with a
two-time-scale structure where the TDA and the UP variables are for optimizing
a long-term MMF rate while the power allocation is for optimizing an
instantaneous MMF rate during each channel coherence interval. We show that the
studied joint MMF rate maximization problem is NP-hard in general. To obtain
high-quality suboptimal solutions, we propose efficient methods based on simple
relaxation and greedy rounding techniques. Simulation results are presented to
show that the proposed algorithms are effective and achieve higher MMF rates
than the existing heuristic methods.
|
cs.IT math.IT
|
in a fullduplex fd multiuser network the system performance is not only limited by the selfinterference but also by the cochannel interference due to the simultaneous uplink and downlink transmissions joint design of the uplinkdownlink transmission direction of users and the power allocation is crucial for achieving high system performance in the fd multiuser network in this paper we investigate the joint uplinkdownlink transmission direction assignment tda user paring up and power allocation problem for maximizing the system maxmin fairness mmf rate in a fd multiuser orthogonal frequency division multiple access ofdma system the problem is formulated with a twotimescale structure where the tda and the up variables are for optimizing a longterm mmf rate while the power allocation is for optimizing an instantaneous mmf rate during each channel coherence interval we show that the studied joint mmf rate maximization problem is nphard in general to obtain highquality suboptimal solutions we propose efficient methods based on simple relaxation and greedy rounding techniques simulation results are presented to show that the proposed algorithms are effective and achieve higher mmf rates than the existing heuristic methods
|
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|
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|
1,803.07396
|
Correlating the escape dynamics and the role of the normally hyperbolic
invariant manifolds in a binary system of dwarf spheroidal galaxies
|
We elucidate the escape properties of stars moving in the combined
gravitational field of a binary system of two interacting dwarf spheroidal
galaxies. A galaxy model of three degrees of freedom is adopted for describing
the dynamical properties of the Hamiltonian system. All the numerical values of
the involved parameters are chosen having in mind the real binary system of the
dwarf spheroidal galaxies NGC 147 and NGC 185. We distinguish between bounded
(regular, sticky or chaotic) and escaping motion by classifying initial
conditions of orbits in several types of two dimensional planes, considering
only unbounded motion for several energy levels. We analyze the orbital
structure of all types of two dimensional planes of initial conditions by
locating the basins of escape and also by measuring the corresponding escape
time of the orbits. Furthermore, the properties of the normally hyperbolic
invariant manifolds (NHIMs), located in the vicinity of the index-1 saddle
points $L_1$, $L_2$, and $L_3$, are also investigated. These manifolds are of
great importance, as they control the flow of stars (between the two galaxies
and toward the exterior region) over the different saddle points. In addition,
bifurcation diagrams of the Lyapunov periodic orbits as well as restrictions of
the Poincar\'e map to the NHIMs are presented for revealing the dynamics in the
neighbourhood of the saddle points. Comparison between the current outcomes and
previous related results is also made.
|
astro-ph.GA
|
we elucidate the escape properties of stars moving in the combined gravitational field of a binary system of two interacting dwarf spheroidal galaxies a galaxy model of three degrees of freedom is adopted for describing the dynamical properties of the hamiltonian system all the numerical values of the involved parameters are chosen having in mind the real binary system of the dwarf spheroidal galaxies ngc 147 and ngc 185 we distinguish between bounded regular sticky or chaotic and escaping motion by classifying initial conditions of orbits in several types of two dimensional planes considering only unbounded motion for several energy levels we analyze the orbital structure of all types of two dimensional planes of initial conditions by locating the basins of escape and also by measuring the corresponding escape time of the orbits furthermore the properties of the normally hyperbolic invariant manifolds nhims located in the vicinity of the index1 saddle points l_1 l_2 and l_3 are also investigated these manifolds are of great importance as they control the flow of stars between the two galaxies and toward the exterior region over the different saddle points in addition bifurcation diagrams of the lyapunov periodic orbits as well as restrictions of the poincare map to the nhims are presented for revealing the dynamics in the neighbourhood of the saddle points comparison between the current outcomes and previous related results is also made
|
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|
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|
1,803.07397
|
Vibrational Spectra of Pb2Bi2Te3, PbBi2Te4 and PbBi4Te7 Topological
Insulators: Temperature Dependent Raman and Theoretical Insight from DFT
Simulations
|
We present temperature dependent frequency shift and line broadening of
phonon modes by insertion of atomic layers of Pb and PbTe in the prototype 3D
topological insulator Bi2Te3, using Raman spectroscopy. Good quality single
crystals of Pb2Bi2Te3, PbBi2Te4 and PbBi4Te7 are grown using the modified
Bridgman technique. The Raman modes show progressive blue shift with the
decrease in temperature from 298 K to 93 K in Pb2Bi2Te3, PbBi2Te4 and PbBi4Te7
is due to anharmonic vibrations of the lattice as well as increasing strength
of Bi-Te covalent interactions. Experimental results are complemented by
extensive density functional theory calculations where a reasonable matching
between experimental and computational data is found. Chemical pressure,
induces by the insertion of Pb and PbTe layers in Bi2Te3, modifies the
interactions at the boundaries of the quintuple-layers which is evident from
the evolution of mode. The enhancement of out-of-plane Bi-Te vibrations with
respect to in-plane Bi-Te vibrations are observed at low temperatures.
|
cond-mat.mes-hall cond-mat.supr-con
|
we present temperature dependent frequency shift and line broadening of phonon modes by insertion of atomic layers of pb and pbte in the prototype 3d topological insulator bi2te3 using raman spectroscopy good quality single crystals of pb2bi2te3 pbbi2te4 and pbbi4te7 are grown using the modified bridgman technique the raman modes show progressive blue shift with the decrease in temperature from 298 k to 93 k in pb2bi2te3 pbbi2te4 and pbbi4te7 is due to anharmonic vibrations of the lattice as well as increasing strength of bite covalent interactions experimental results are complemented by extensive density functional theory calculations where a reasonable matching between experimental and computational data is found chemical pressure induces by the insertion of pb and pbte layers in bi2te3 modifies the interactions at the boundaries of the quintuplelayers which is evident from the evolution of mode the enhancement of outofplane bite vibrations with respect to inplane bite vibrations are observed at low temperatures
|
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|
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|
1,803.07398
|
Basins of convergence of equilibrium points in the generalized
Henon-Heiles system
|
We numerically explore the Newton-Raphson basins of convergence, related to
the libration points (which act as attractors of the convergence process), in
the generalized H\'{e}non-Heiles system (GHH). The evolution of the position as
well as of the linear stability of the equilibrium points is determined, as a
function of the value of the perturbation parameter. The attracting regions, on
the configuration $(x,y)$ plane, are revealed by using the multivariate version
of the classical Newton-Raphson iterative algorithm. We perform a systematic
investigation in an attempt to understand how the perturbation parameter
affects the geometry as well as of the basin entropy of the attracting domains.
The convergence regions are also related with the required number of
iterations.
|
nlin.CD
|
we numerically explore the newtonraphson basins of convergence related to the libration points which act as attractors of the convergence process in the generalized henonheiles system ghh the evolution of the position as well as of the linear stability of the equilibrium points is determined as a function of the value of the perturbation parameter the attracting regions on the configuration xy plane are revealed by using the multivariate version of the classical newtonraphson iterative algorithm we perform a systematic investigation in an attempt to understand how the perturbation parameter affects the geometry as well as of the basin entropy of the attracting domains the convergence regions are also related with the required number of iterations
|
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|
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|
1,803.07399
|
Non-minimal gravitational reheating during kination
|
A new mechanism is presented which can reheat the Universe in non-oscillatory
models of inflation, where the inflation period is followed by a period
dominated by the kinetic density for the inflaton field (kination). The
mechanism considers an auxiliary field non-minimally coupled to gravity. The
auxiliary field is a spectator during inflation, rendered heavy by the
non-minimal coupling to gravity. During kination however, the non-minimal
coupling generates a tachyonic mass, which displaces the field, until its bare
mass becomes important, leading to coherent oscillations. Then, the field
decays into the radiation bath of the hot big bang. The model is generic and
predictive, in that the resulting reheating temperature is a function only of
the model parameters (masses and couplings) and not of initial conditions. It
is shown that reheating can be very efficient also when considering only the
Standard Model.
|
gr-qc astro-ph.CO hep-ph
|
a new mechanism is presented which can reheat the universe in nonoscillatory models of inflation where the inflation period is followed by a period dominated by the kinetic density for the inflaton field kination the mechanism considers an auxiliary field nonminimally coupled to gravity the auxiliary field is a spectator during inflation rendered heavy by the nonminimal coupling to gravity during kination however the nonminimal coupling generates a tachyonic mass which displaces the field until its bare mass becomes important leading to coherent oscillations then the field decays into the radiation bath of the hot big bang the model is generic and predictive in that the resulting reheating temperature is a function only of the model parameters masses and couplings and not of initial conditions it is shown that reheating can be very efficient also when considering only the standard model
|
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|
[-0.1532612340615613, 0.3011446174025471, -0.10871332284089522, 0.11102976826521574, -0.0966057653839416, -0.1830610817790375, -0.036251481790062545, 0.2956649678831933, -0.24925269786242052, -0.29347196285421334, 0.07148029721486102, -0.2070485218989511, -0.06799489300671621, 0.1582794016679577, -0.007773471216783456, -0.02893823691427457, 0.04328676885826156, 0.08435729843504886, 0.007545840493832708, -0.27573412345187304, 0.32340968708699264, 0.1121533256063753, 0.2022949047865518, 0.039412139185063595, 0.09937068619864418, -0.06754952378848449, 0.04933832887129145, -0.03167460767010637, -0.10487124037326988, -0.005151295070107102, 0.12833859753772367, 0.10470782143413915, 0.25442790023401274, -0.40583003000587436, -0.27281731810438914, 0.14882519627188115, 0.14207896776518006, 0.14803522557568413, -0.06596844060782422, -0.2451959588228071, 0.003135432537103481, -0.17075045612237766, -0.08719353960391055, -0.05984934508232466, 0.007627526596221571, -0.1152561380906057, -0.3692644894393888, 0.10539387152113304, -0.025180994394294758, -0.04856021661998321, -0.05269231876781118, -0.03146360095273307, -0.09306198399322411, -0.006809149294759721, 0.16550447594073886, 0.07111431111363654, 0.17714204991249538, -0.19484251594593657, 0.0027493804788996353, 0.3839504988005398, -0.17362170858335094, -0.11261068884917397, 0.12718597126477366, -0.1068665371821361, -0.0915351516851191, 0.14302324917306133, 0.11464662302916222, 0.1243595172917794, -0.18412903351727825, 0.18201459633683495, 0.07387568498053423, 0.179329172860012, 0.06548287082754128, -0.02011111457600978, 0.3342713405979229, 0.17656225864346145, 0.005244135473531189, 0.09340557588696982, -0.022280897842786203, -0.13696485153458854, -0.36198053082305914, -0.10158595049106484, -0.1497297362582956, 0.04047138498716654, -0.13216072308357413, -0.17396664032972656, 0.4393502008301992, 0.15432884601433597, 0.1933460263039996, 0.009243992509003332, 0.32478411384719486, 0.1353508886643388, 0.08057010076640352, 0.07614050995796284, 0.33384538435951827, 0.16324652806975043, 0.12670742568117402, -0.2594608292875296, 0.011896499062736406, 0.03655524847612895]
|
1,803.074
|
Investigating the Newton-Raphson basins of attraction in the restricted
three-body problem with modified Newtonian gravity
|
The planar circular restricted three-body problem with modified Newtonian
gravity is used in order to determine the Newton-Raphson basins of attraction
associated with the equilibrium points. The evolution of the position of the
five Lagrange points is monitored when the value of the power $p$ of the
gravitational potential of the second primary varies in predefined intervals.
The regions on the configuration $(x,y)$ plane occupied by the basins of
attraction are revealed using the multivariate version of the Newton-Raphson
iterative scheme. The correlations between the basins of convergence of the
equilibrium points and the corresponding number of iterations needed for
obtaining the desired accuracy are also illustrated. We conduct a thorough and
systematic numerical investigation by demonstrating how the dynamical quantity
$p$ influences the shape as well as the geometry of the basins of attractions.
Our results strongly suggest that the power $p$ is indeed a very influential
parameter in both cases of weaker or stronger Newtonian gravity.
|
nlin.CD
|
the planar circular restricted threebody problem with modified newtonian gravity is used in order to determine the newtonraphson basins of attraction associated with the equilibrium points the evolution of the position of the five lagrange points is monitored when the value of the power p of the gravitational potential of the second primary varies in predefined intervals the regions on the configuration xy plane occupied by the basins of attraction are revealed using the multivariate version of the newtonraphson iterative scheme the correlations between the basins of convergence of the equilibrium points and the corresponding number of iterations needed for obtaining the desired accuracy are also illustrated we conduct a thorough and systematic numerical investigation by demonstrating how the dynamical quantity p influences the shape as well as the geometry of the basins of attractions our results strongly suggest that the power p is indeed a very influential parameter in both cases of weaker or stronger newtonian gravity
|
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|
[-0.1639056830914526, 0.07113295613089576, -0.11154339677076551, 0.0755251757675322, -0.007180721622809202, -0.09191421663780591, 0.06064255985496212, 0.28330553011214243, -0.269893556606331, -0.2964301784463887, 0.055911867835859566, -0.28672211499784517, -0.1220411119254636, 0.17847906505170313, -0.013837912060980555, 0.07214113650843501, 0.04798325940471473, 0.04924423431201589, -0.0736498085625729, -0.24101779588477545, 0.3182340660073523, 0.07036049671683318, 0.2210673627066367, 0.012754982711652978, 0.050865069096554305, 0.003626557760647221, -0.015788699912874005, 0.0630295566023143, -0.15632519370433617, 0.1021274727116386, 0.186616084212732, 0.09261283195943018, 0.2900508163773891, -0.3923572424587004, -0.17674543621914485, 0.13034246976286928, 0.1389065133407712, 0.05441192240023962, -0.0015006134046324164, -0.29089626357478054, 0.06150736210051198, -0.12263049333374004, -0.1837578406203774, -0.0566775899769479, 0.04492600522110168, 0.09908963030770043, -0.2558388287390146, 0.09500583373964322, 0.06518807491752514, 0.0717688885670674, -0.061326607803908424, -0.1142990635531141, -0.07120502543564933, 0.1318927825484911, 0.07532573799319754, 0.008669037059468181, 0.1471590572596775, -0.1039599657377016, -0.07019813173992819, 0.4066531511636663, -0.015199513192276788, -0.21276820736312413, 0.18904562684400833, -0.18791141859078897, -0.07794332331565174, 0.1520156443555238, 0.14610096851667342, 0.13291202172713615, -0.10248144602970753, 0.10043558533542164, -0.010824154990230086, 0.1456443945099187, 0.08255117218587783, -0.02485380740762582, 0.20203678063124336, 0.1455367700641373, 0.12156528567149645, 0.1620290352405886, -0.12236835509781796, -0.15959368416114086, -0.3044459778061019, -0.10326025194099432, -0.1859577462877312, -0.03794004542670578, -0.14342189878958447, -0.16476187752441893, 0.4121618288373853, 0.1163508647174539, 0.17795039196973933, 0.034681510486746135, 0.2705612660715757, 0.11052135631583537, -0.004034748654576797, 0.05533073210935521, 0.3039953178561092, 0.10773376778174852, 0.06552613129297012, -0.2766388782340211, 0.06228571142883429, 0.09960080612792716]
|
1,803.07401
|
Asynchronous opinion dynamics on the $k$-nearest-neighbors graph
|
This paper is about a new model of opinion dynamics with opinion-dependent
connectivity. We assume that agents update their opinions asynchronously and
that each agent's new opinion depends on the opinions of the $k$ agents that
are closest to it. We show that the resulting dynamics is substantially
different from comparable models in the literature, such as bounded-confidence
models. We study the equilibria of the dynamics, observing that they are robust
to perturbations caused by the introduction of new agents. We also prove that
if the number of agents $n$ is smaller than $2k$, the dynamics converge to
consensus. This condition is only sufficient.
|
cs.MA cs.SY math.DS
|
this paper is about a new model of opinion dynamics with opiniondependent connectivity we assume that agents update their opinions asynchronously and that each agents new opinion depends on the opinions of the k agents that are closest to it we show that the resulting dynamics is substantially different from comparable models in the literature such as boundedconfidence models we study the equilibria of the dynamics observing that they are robust to perturbations caused by the introduction of new agents we also prove that if the number of agents n is smaller than 2k the dynamics converge to consensus this condition is only sufficient
|
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|
[-0.14417217469487625, 0.13704165617505518, -0.09838066382172446, 0.04375510821521927, -0.09620355580969212, -0.14619285611955163, 0.05805523298309149, 0.4018970611147009, -0.2692621990572661, -0.2736651064344467, 0.08721754370960227, -0.2820835859702828, -0.19763073168891984, 0.09406091259174551, -0.07574245333223818, -0.037451823600209676, 0.08266019890120682, 0.10494522449488823, 0.03366668628363046, -0.3319630431942642, 0.333954169226882, 0.03002991176281984, 0.22802036127541214, -0.018944616693680964, 0.09917755075730383, -0.015407590081360048, 0.03488608331267292, 0.05034550196992663, -0.14685223628349867, 0.09457301486690994, 0.21328164676399936, 0.17190382749854158, 0.3381927357628368, -0.43803039726872856, -0.1564435479219985, 0.1611150123196869, 0.13597954578626043, 0.13512311064494917, 0.028090843269288037, -0.287501203469359, 0.13337711617350578, -0.14535560111891335, -0.07608742099882175, -0.07293166605254206, 0.013120186586792652, 0.09670892934305951, -0.2655223118535315, 0.0322310259907681, 0.09129082913372819, 0.038330642434840016, -0.08905177416034768, -0.10325563655575164, -0.031642046434661515, 0.15380970859685197, 0.07226001596539461, -0.0011699264354179972, 0.13730467153856388, -0.15943610515051448, -0.11954017414693506, 0.368501416944827, -0.04356755535501669, -0.1944188797757446, 0.21509039357232934, -0.13529474553965534, -0.1448638058880953, 0.09047849244178416, 0.18909139423452032, 0.14347014524257526, -0.14637370723693705, 0.01848806498981923, -0.10311122268187599, 0.20916381421445224, 0.006976209052551825, 0.004482727381400764, 0.15858484648812848, 0.15917882481097387, 0.15256328453632215, 0.07891763552134552, 0.011268024899226684, -0.17529044134202054, -0.2607503532109639, -0.10659106277475636, -0.18116016660440856, 0.047543297100883834, -0.09143584094873894, -0.1081618189614696, 0.389994544783034, 0.2345141841953871, 0.2074807110385826, 0.09914667285584773, 0.27588370016131264, 0.09082966684330201, 0.02148438377536457, 0.14048376691957506, 0.21828556237205005, 0.05471029610131294, 0.05691593323493949, -0.19941296564782254, 0.15669233017475703, 0.00877132694138429]
|
1,803.07402
|
Direct demonstration of the emergent magnetism resulting from the
multivalence Mn in a LaMnO3 epitaxial thin film system
|
Atomically engineered oxide heterostructures provide a fertile ground for
creating novel states. For example, a two-dimensional electron gas at the
interface between two oxide insulators, giant thermoelectric Seebeck
coefficient, emergent ferromagnetism from otherwise nonmagnetic components, and
colossal ionic conductivity. Extensive research efforts reveal that oxygen
deficiency or lattice strain play an important role in determining these
unexpected properties. Herein, by studying the abrupt presence of robust
ferromagnetism (up to 1.5 uB/Mn) in LaMnO3-based heterostructures, we find the
multivalence states of Mn that play a decisive role in the emergence of
ferromagnetism in the otherwise antiferromagnetic LaMnO3 thin films. Combining
spatially resolved electron energy-loss spectroscopy, X-ray absorption
spectroscopy and X-ray magnetic circular dichroism techniques, we determine
unambiguously that the ferromagnetism results from a conventional Mn3+-O-Mn4+
double-exchange mechanism rather than an interfacial effect. In contrast, the
magnetic dead layer of 5 unit cell in proximity to the interface is found to be
accompanied with the accumulation of Mn2+ induced by electronic reconstruction.
These findings provide a hitherto-unexplored multivalence state of Mn on the
emergent magnetism in undoped manganite epitaxial thin films, such as LaMnO3
and BiMnO3, and shed new light on all-oxide spintronic devices.
|
cond-mat.mtrl-sci
|
atomically engineered oxide heterostructures provide a fertile ground for creating novel states for example a twodimensional electron gas at the interface between two oxide insulators giant thermoelectric seebeck coefficient emergent ferromagnetism from otherwise nonmagnetic components and colossal ionic conductivity extensive research efforts reveal that oxygen deficiency or lattice strain play an important role in determining these unexpected properties herein by studying the abrupt presence of robust ferromagnetism up to 15 ubmn in lamno3based heterostructures we find the multivalence states of mn that play a decisive role in the emergence of ferromagnetism in the otherwise antiferromagnetic lamno3 thin films combining spatially resolved electron energyloss spectroscopy xray absorption spectroscopy and xray magnetic circular dichroism techniques we determine unambiguously that the ferromagnetism results from a conventional mn3omn4 doubleexchange mechanism rather than an interfacial effect in contrast the magnetic dead layer of 5 unit cell in proximity to the interface is found to be accompanied with the accumulation of mn2 induced by electronic reconstruction these findings provide a hithertounexplored multivalence state of mn on the emergent magnetism in undoped manganite epitaxial thin films such as lamno3 and bimno3 and shed new light on alloxide spintronic devices
|
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|
[-0.15494420625141853, 0.18748099435547472, 0.0014175498162079206, 0.02429274954595306, -0.023211596236425512, -0.1770720807860229, 0.09963622812597835, 0.446216578159402, -0.26695990927289537, -0.3096523211842918, -0.0006285550888934906, -0.3496968489972518, -0.16650630166491573, 0.18860772466862902, 0.05890952819274699, -0.009353651635428058, -0.053336190435518495, -0.182293895290523, -0.07221024810024439, -0.19094745321935408, 0.26254177979253074, 0.03513291075935914, 0.3208867327082268, 0.1252275931149191, 0.00491021387774418, -0.007782693101499388, 0.15752007197241913, 0.025967175096392313, -0.15826549924883906, 0.09181178886099084, 0.30546816037175184, -0.17129847842783846, 0.2000700040408311, -0.5223290536334698, -0.23067905723632492, -0.049436070967435915, 0.14516366575349202, 0.13447936150824968, -0.1820167828452813, -0.2612006859061249, 0.045186864217109185, -0.11051190477558115, -0.1260841730043157, -0.10393295372697584, -0.04116934792019744, -0.05902092904440732, -0.2348668750361886, 0.09279838617286704, 0.09708314395740014, 0.14645829385374376, -0.15714103600576562, -0.13930756354486531, -0.10120296104132455, 0.05346953481599252, 0.040744114429392714, 0.07006008159418768, 0.198026328026862, -0.10238121240152086, -0.14747881347145092, 0.32527302103265726, -0.02836486138875579, -0.03803673360813806, 0.15981711734437998, -0.20618112428371418, -0.07463793536311293, 0.1649405291437746, 0.12118557617167368, 0.09618785070562537, -0.13930683851519482, 0.04366165447232135, -0.005082976813626258, 0.200826324435803, 0.040005233589599426, 0.14553553880900738, 0.3303742902799252, 0.22196825315427787, 0.04259137302711253, 0.13050783005483607, -0.1297721483105635, 0.03248044190695509, -0.15146234508683074, -0.2389220083578232, -0.20345934670037055, 0.11602794369366862, -0.08203322462306575, -0.22416015544923598, 0.3583429005056461, 0.15309974038478066, 0.14032832937943973, -0.1703943473564342, 0.22738219611594415, 0.029388566550357823, 0.06592287380431601, -7.789386956496759e-06, 0.2663422995971446, 0.1874238362416942, 0.14066999590191853, -0.3071235452247338, 0.16862108839546985, -0.002604359030807787]
|
1,803.07403
|
Ordered array of $\omega$ particles in $\beta$-Ti matrix studied by
small-angle X-ray scattering
|
Nanosized particles of $\omega$ phase in a $\beta$-Ti alloy were investigated
by small-angle X-ray scattering using synchrotron radiation. We demonstrated
that the particles are spontaneously weakly ordered in a three-dimensional
cubic array along the $\langle 100\rangle$-directions in the $\beta$-Ti matrix.
The small-angle scattering data fit well to a three-dimensional
short-range-order model; from the fit we determined the evolution of the mean
particle size and mean distance between particles during ageing. The
self-ordering of the particles is explained by elastic interaction between the
particles, since the relative positions of the particles coincide with local
minima of the interaction energy. We performed numerical Monte Carlo simulation
of the particle ordering and we obtained a good agreement with the experimental
data.
|
cond-mat.mtrl-sci
|
nanosized particles of omega phase in a betati alloy were investigated by smallangle xray scattering using synchrotron radiation we demonstrated that the particles are spontaneously weakly ordered in a threedimensional cubic array along the langle 100rangledirections in the betati matrix the smallangle scattering data fit well to a threedimensional shortrangeorder model from the fit we determined the evolution of the mean particle size and mean distance between particles during ageing the selfordering of the particles is explained by elastic interaction between the particles since the relative positions of the particles coincide with local minima of the interaction energy we performed numerical monte carlo simulation of the particle ordering and we obtained a good agreement with the experimental data
|
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|
[-0.09357185422594094, 0.23720759503607058, -0.09081216388517338, 0.07804574645184076, 0.01930495763086101, -0.05663917544019273, 0.010442500277302967, 0.4148280559441982, -0.26718008518218994, -0.3347586335009362, 0.02553213740257212, -0.3454047358698315, -0.07122079353047232, 0.13114230220830944, 0.07882439064928609, 0.060391350450296685, 0.06620969207814106, -0.009108026356746754, -0.06481354524238178, -0.16435606583940965, 0.24329187824096307, 0.10896280680934334, 0.25058588597318554, 0.021816795021215946, 0.11368567004011801, 0.08308962343507406, -0.011732588171895243, 0.05846680036913126, -0.17371194551801597, 0.06399918189789686, 0.15795807360022718, -0.0025928951720269318, 0.12172648924379012, -0.4690354635668361, -0.19100813347145787, 0.08852362940008314, 0.14983831712594017, 0.07096128706207387, -0.0938438690510284, -0.2795462845963959, 0.0020484117329375357, -0.12761009833974463, -0.15646945350429314, -0.012805577297893982, -0.022989665078492757, 0.07880602921876642, -0.2680262566950077, 0.128539525040099, -0.0031646220020339903, 0.06915381975058052, -0.11209802940471941, -0.0846844052497405, -0.04412936818443684, 0.06336671534257057, 0.05991432687235821, 0.00953647055917889, 0.14588342147728062, -0.11825012485297699, -0.09021752611455372, 0.3820356235990667, -0.056221054166428044, -0.14395365767597826, 0.16810483819383204, -0.1957145827766667, -0.059027880682952255, 0.20775465503271318, 0.13565529221032038, 0.1065612518428586, -0.15797219215693253, 0.09445611322915548, -0.03413830130882402, 0.1778226060888324, 0.05261619979292791, -0.05820577125455319, 0.21153431003873482, 0.19133756562179893, -0.05864938196495303, 0.15880991589142662, -0.14387426246952617, -0.11252210302771921, -0.2798129462589247, -0.12492787139888248, -0.2386935453933592, 0.005938913287101393, -0.1210784904345866, -0.16001763582054493, 0.338298960075451, 0.11180014786525415, 0.20359710741262788, 0.02259931115545014, 0.25414823443015927, 0.06152836091689065, 0.05071825315801697, 0.041834354896146134, 0.2937249246204638, 0.16153821135616392, 0.10252668798113099, -0.2747014839317586, 0.05199693850416722, 0.0150201456167568]
|
1,803.07404
|
A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems
based on sl(2)
|
Based on a recently developed procedure to construct Poisson-Hopf
deformations of Lie-Hamilton systems, a novel unified approach to nonequivalent
deformations of Lie-Hamilton systems on the real plane with a Vessiot-Guldberg
Lie algebra isomorphic to $\mathfrak{sl}(2)$ is proposed. This, in particular,
allows us to define a notion of Poisson-Hopf systems in dependence of a
parameterized family of Poisson algebra representations. Such an approach is
explicitly illustrated by applying it to the three non-diffeomorphic classes of
$\mathfrak{sl}(2)$ Lie-Hamilton systems. Our results cover deformations of the
Ermakov system, Milne-Pinney, Kummer-Schwarz and several Riccati equations as
well as of the harmonic oscillator (all of them with $t$-dependent
coefficients). Furthermore $t$-independent constants of motion are given as
well. Our methods can be employed to generate other Lie-Hamilton systems and
their deformations for other Vessiot-Guldberg Lie algebras and their
deformations.
|
math-ph math.MP
|
based on a recently developed procedure to construct poissonhopf deformations of liehamilton systems a novel unified approach to nonequivalent deformations of liehamilton systems on the real plane with a vessiotguldberg lie algebra isomorphic to mathfraksl2 is proposed this in particular allows us to define a notion of poissonhopf systems in dependence of a parameterized family of poisson algebra representations such an approach is explicitly illustrated by applying it to the three nondiffeomorphic classes of mathfraksl2 liehamilton systems our results cover deformations of the ermakov system milnepinney kummerschwarz and several riccati equations as well as of the harmonic oscillator all of them with tdependent coefficients furthermore tindependent constants of motion are given as well our methods can be employed to generate other liehamilton systems and their deformations for other vessiotguldberg lie algebras and their deformations
|
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|
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|
1,803.07405
|
Positivity of vector bundles and Hodge theory
|
It is well known that positivity properties of the curvature of a vector
bundle have implications on the algebro-geometric properties of the bundle,
such as numerical positivity, vanishing of higher cohomology leading to
existence of global sections etc. It is also well known that bundles arising in
Hodge theory tend to have positivity properties. From these considerations
several issues arise: (i) In general for bundles that are semi-positive but not
strictly positive; what further natural conditions lead to the existence of
sections of its symmetric powers? (ii) In Hodge theory the Hodge metrics
generally have singularities; what can be said about these and their
curvatures, Chern forms etc.? (iii) What are some algebro-geometric
applications of positivity of Hodge bundles? The purpose of these partly
expository notes is fourfold. One is to summarize some of the general measures
and types of positivity that have arisen in the literature. A second is to
introduce and give some applications of norm positivity. This is a concept that
implies the di_erent notions of metric semi-positivity that are present in many
of the standard examples and one that has an algebro-geometric interpretation
in these examples. A third purpose is to discuss and compare some of the types
of metric singularities that arise in algebraic geometry and in Hodge theory.
Finally we shall present some applications of the theory from both the
classical and recent literature.
|
math.AG math.CV math.DG
|
it is well known that positivity properties of the curvature of a vector bundle have implications on the algebrogeometric properties of the bundle such as numerical positivity vanishing of higher cohomology leading to existence of global sections etc it is also well known that bundles arising in hodge theory tend to have positivity properties from these considerations several issues arise i in general for bundles that are semipositive but not strictly positive what further natural conditions lead to the existence of sections of its symmetric powers ii in hodge theory the hodge metrics generally have singularities what can be said about these and their curvatures chern forms etc iii what are some algebrogeometric applications of positivity of hodge bundles the purpose of these partly expository notes is fourfold one is to summarize some of the general measures and types of positivity that have arisen in the literature a second is to introduce and give some applications of norm positivity this is a concept that implies the di_erent notions of metric semipositivity that are present in many of the standard examples and one that has an algebrogeometric interpretation in these examples a third purpose is to discuss and compare some of the types of metric singularities that arise in algebraic geometry and in hodge theory finally we shall present some applications of the theory from both the classical and recent literature
|
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|
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|
1,803.07406
|
On Light-like Deformations of the Poincar\'e Algebra
|
We investigate the observational consequences of the light-like deformations
of the Poincar\'e algebra induced by the jordanian and the extended jordanian
classes of Drinfel'd twists. Twist-deformed generators belonging to a Universal
Enveloping Algebra close nonlinear algebras. In some cases the nonlinear
algebra is responsible for the existence of bounded domains of the deformed
generators. The Hopf algebra coproduct implies associative nonlinear additivity
of the multi-particle states. A subalgebra of twist-deformed observables is
recovered whenever the twist-deformed generators are either hermitian or
pseudo-hermitian with respect to a common invertible hermitian operator.
|
hep-th math-ph math.MP
|
we investigate the observational consequences of the lightlike deformations of the poincare algebra induced by the jordanian and the extended jordanian classes of drinfeld twists twistdeformed generators belonging to a universal enveloping algebra close nonlinear algebras in some cases the nonlinear algebra is responsible for the existence of bounded domains of the deformed generators the hopf algebra coproduct implies associative nonlinear additivity of the multiparticle states a subalgebra of twistdeformed observables is recovered whenever the twistdeformed generators are either hermitian or pseudohermitian with respect to a common invertible hermitian operator
|
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|
[-0.20102904144053657, 0.11485162628297177, -0.02166040490070979, 0.09757942649432355, -0.14375468293825786, -0.18013778715394438, -0.11834417945808834, 0.2978121436304516, -0.3638331003745811, -0.1333630533015821, 0.12023832936538384, -0.25103849650671084, -0.1536283310632118, 0.1714949836100762, -0.14203748011431244, 0.01465568206169539, 0.07844223104831245, 0.12683933306899337, -0.19488968053936132, -0.1819524444018801, 0.46046275635146433, 0.03829898526633365, 0.21474492393188283, -0.03625688957981765, 0.12626429001490275, 0.0027473949051151675, -0.00635345904997343, -0.04347885517104765, -0.12180712055414915, 0.11083246176325096, 0.27562800084965094, 0.025798399006533954, 0.15843665947516758, -0.3888803256054719, -0.05277960077962941, 0.20427545763345228, 0.12575166854076086, 0.026672456392811406, -0.00938825776360722, -0.34365723757073285, 0.013058145375301441, -0.25670715131693417, -0.19347361243950825, -0.08495936662786537, 0.09605613737884496, -0.03122352131952842, -0.24812205923307273, 0.054871133094032604, 0.11214900768568946, 0.11570803285059002, -0.1043561369038394, -0.04006136515074306, -0.15332433017384675, 0.06074809923302382, -0.04342902413983312, -0.02149946140642795, 0.16776467408053578, -0.09237408384473787, -0.2145064112626844, 0.3511634210952454, 0.03578985626809299, -0.2692946359101269, 0.06965983928983203, -0.20848298383320474, -0.18387538383507895, 0.072334838839015, 0.04872598127824151, 0.09496802996016211, -0.057432302858473526, 0.2664722430823733, -0.11254643711468412, 0.002571579824305243, 0.10091455538964106, 0.050325949349078455, 0.1662464075204399, 0.030362781106183925, -0.0007995697734360066, 0.16439031067097354, 0.11691069259411759, -0.09166189461636047, -0.4292268932693534, -0.1689501256772524, -0.06381509931137165, 0.16589570578394663, -0.13697522247400937, -0.1919006941219171, 0.42354347050810853, 0.0788976290056275, 0.15113838059155063, 0.06017117913191517, 0.14145186684715252, 0.12179160332307219, 0.20089386503936515, 0.07430955812645455, 0.1786288327941697, 0.3051401465691419, -0.008944960611148012, -0.18265421129763126, -0.07251080460329022, 0.21472441021711955]
|
1,803.07407
|
Quality Attributes on Quantum Computing Platforms
|
As the practical Quantum Computing Platforms (QCPs) rapidly become a reality,
it is desirable to harness their true potential in software applications. Thus
it becomes important to determine the implications of QCPs for software
architecture. In this paper we present the in-depth examination of
state-of-the-art QCPs for identifying all such characteristics of a QCP that
are relevant from software architecture perspective. Lack of a native quantum
operating system, a hard dependency on quantum algorithms, the lower level of
programming abstractions are few, out of many, examples of QCP characteristics
which may affect architecture of quantum software applications. Key
contributions of this paper include identifying: i) The general architecture of
a QCP, ii) The programming model which is typically used when developing
software for a QCP, iii) Architecturally significant characteristics of QCPs
and iv) The impact of these characteristics on various Quality Attributes
(QAs). We show that except performance and scalability, most of the other QAs
(e.g. maintainability, testability, reliability etc.) are adversely affected by
different characteristics of a QCP.
|
cs.SE cs.ET quant-ph
|
as the practical quantum computing platforms qcps rapidly become a reality it is desirable to harness their true potential in software applications thus it becomes important to determine the implications of qcps for software architecture in this paper we present the indepth examination of stateoftheart qcps for identifying all such characteristics of a qcp that are relevant from software architecture perspective lack of a native quantum operating system a hard dependency on quantum algorithms the lower level of programming abstractions are few out of many examples of qcp characteristics which may affect architecture of quantum software applications key contributions of this paper include identifying i the general architecture of a qcp ii the programming model which is typically used when developing software for a qcp iii architecturally significant characteristics of qcps and iv the impact of these characteristics on various quality attributes qas we show that except performance and scalability most of the other qas eg maintainability testability reliability etc are adversely affected by different characteristics of a qcp
|
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|
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|
1,803.07408
|
Mathematical models for magnetic particle imaging
|
Magnetic particle imaging (MPI) is a relatively new imaging modality. The
nonlinear magnetization behavior of nanoparticles in an applied magnetic field
is employed to reconstruct an image of the concentration of nanoparticles.
Finding a sufficiently accurate model for the particle behavior is still an
open problem. For this reason the reconstruction is still computed using a
measured forward operator which is obtained in a time-consuming calibration
process. The state of the art model used for the imaging methodology and first
model-based reconstructions relies on strong model simplifications which turned
out to cause too large modeling errors. Neglecting particle-particle
interactions, the forward operator can be expressed by a Fredholm integral
operator of the first kind describing the inverse problem. In this article we
give an overview of relevant mathematical models which have not been
investigated theoretically in the context of inverse problems yet. We consider
deterministic models which are based on the physical behavior including
relaxation mechanisms affecting the particle magnetization. The behavior of the
models is illustrated with numerical simulations for monodisperse as well as
polydisperse tracer. We further motivate linear and nonlinear problems beyond
the solely concentration reconstruction related to applications. This model
survey complements a recent topical review on MPI [30] and builds the basis for
upcoming theoretical as well as empirical investigations.
|
physics.app-ph
|
magnetic particle imaging mpi is a relatively new imaging modality the nonlinear magnetization behavior of nanoparticles in an applied magnetic field is employed to reconstruct an image of the concentration of nanoparticles finding a sufficiently accurate model for the particle behavior is still an open problem for this reason the reconstruction is still computed using a measured forward operator which is obtained in a timeconsuming calibration process the state of the art model used for the imaging methodology and first modelbased reconstructions relies on strong model simplifications which turned out to cause too large modeling errors neglecting particleparticle interactions the forward operator can be expressed by a fredholm integral operator of the first kind describing the inverse problem in this article we give an overview of relevant mathematical models which have not been investigated theoretically in the context of inverse problems yet we consider deterministic models which are based on the physical behavior including relaxation mechanisms affecting the particle magnetization the behavior of the models is illustrated with numerical simulations for monodisperse as well as polydisperse tracer we further motivate linear and nonlinear problems beyond the solely concentration reconstruction related to applications this model survey complements a recent topical review on mpi 30 and builds the basis for upcoming theoretical as well as empirical investigations
|
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|
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|
1,803.07409
|
Decomposability of graphs into subgraphs fulfilling the 1-2-3 Conjecture
|
The well-known 1-2-3 Conjecture asserts that the edges of every graph without
isolated edges can be weighted with $1$, $2$ and $3$ so that adjacent vertices
receive distinct weighted degrees. This is open in general. We prove that every
$d$-regular graph, $d\geq 2$, can be decomposed into at most $2$ subgraphs
(without isolated edges) fulfilling the 1-2-3 Conjecture if
$d\notin\{10,11,12,13,15,17\}$, and into at most $3$ such subgraphs in the
remaining cases. Additionally, we prove that in general every graph without
isolated edges can be decomposed into at most $24$ subgraphs fulfilling the
1-2-3 Conjecture, improving the previously best upper bound of $40$. Both
results are partly based on applications of the Lov\'asz Local Lemma.
|
math.CO
|
the wellknown 123 conjecture asserts that the edges of every graph without isolated edges can be weighted with 1 2 and 3 so that adjacent vertices receive distinct weighted degrees this is open in general we prove that every dregular graph dgeq 2 can be decomposed into at most 2 subgraphs without isolated edges fulfilling the 123 conjecture if dnotin101112131517 and into at most 3 such subgraphs in the remaining cases additionally we prove that in general every graph without isolated edges can be decomposed into at most 24 subgraphs fulfilling the 123 conjecture improving the previously best upper bound of 40 both results are partly based on applications of the lovasz local lemma
|
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|
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|
1,803.0741
|
Relativistic quantum dynamics of twisted electron beams in arbitrary
electric and magnetic fields
|
General relativistic quantum dynamics of twisted (vortex) Dirac particles is
constructed. The Hamiltonian and equations of motion in the Foldy-Wouthuysen
representation are derived for a twisted relativistic electron in arbitrary
electric and magnetic fields. A critical experiment for a verification of the
results is proposed. The new important effect of a radiative orbital
polarization of a twisted electron beam in a magnetic field resulting in a
nonzero average projection of the intrinsic orbital angular momentum on the
field direction is predicted.
|
physics.class-ph hep-th quant-ph
|
general relativistic quantum dynamics of twisted vortex dirac particles is constructed the hamiltonian and equations of motion in the foldywouthuysen representation are derived for a twisted relativistic electron in arbitrary electric and magnetic fields a critical experiment for a verification of the results is proposed the new important effect of a radiative orbital polarization of a twisted electron beam in a magnetic field resulting in a nonzero average projection of the intrinsic orbital angular momentum on the field direction is predicted
|
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|
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|
1,803.07411
|
The Role of Oligomeric Gold-Thiolate Units in Single Molecule Junc-tions
of Thiol-Anchored Molecules
|
Using the break junction (BJ) technique we show that Au(RS)2 units play a
significant role in thiol-terminated molecular junctions formed on gold. We
have studied a range of thiol-terminated compounds, either with the sulfur
atoms in direct conjugation with a phenyl core, or bonded to saturated
methylene groups. For all molecules we observe at least two distinct groups of
conductance plateaus. By a careful analysis of the length behavior of these
plateaus, comparing the behavior across the different cores and with methyl
sulfide anchor groups, we demonstrate that the lower conductance groups
correspond to the incorporation of Au(RS)2 oligomeric units at the contacts.
These structural motifs are found on the surface of gold nanoparticles but they
have not before been shown to exist in molecular-break junctions. The results,
while exemplifying the complex nature of thiol chemistry on gold, moreover
clarify the conductance of 1,4-benzenedithiol on gold. We show that true
Au-S-Ph-S-Au junctions have a relatively narrow conductance distribution.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
using the break junction bj technique we show that aurs2 units play a significant role in thiolterminated molecular junctions formed on gold we have studied a range of thiolterminated compounds either with the sulfur atoms in direct conjugation with a phenyl core or bonded to saturated methylene groups for all molecules we observe at least two distinct groups of conductance plateaus by a careful analysis of the length behavior of these plateaus comparing the behavior across the different cores and with methyl sulfide anchor groups we demonstrate that the lower conductance groups correspond to the incorporation of aurs2 oligomeric units at the contacts these structural motifs are found on the surface of gold nanoparticles but they have not before been shown to exist in molecularbreak junctions the results while exemplifying the complex nature of thiol chemistry on gold moreover clarify the conductance of 14benzenedithiol on gold we show that true ausphsau junctions have a relatively narrow conductance distribution
|
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|
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|
1,803.07412
|
Single crystal growth of TIMETAL LCB titanium alloy by a floating zone
method
|
The methodology of single crystal growth of metastable $\beta$-Ti alloy
TIMETAL LCB in an optical floating zone furnace is presented in this paper.
Chemical compositions of both precursor material and single crystals were
checked. It was found that the concentration of base alloying elements did not
change significantly during the growth process, while the concentrations of
interstitial elements O and N increased. DSC measurement determined that this
concentration shift has a slight impact on ongoing phase transformations, as in
the single-crystalline material peak associated with $\alpha$ phase
precipitation moves by a few degrees to a lower temperature and peak attributed
to diffusion controlled growth of $\omega$ particles shifts to a higher
temperature. X-ray reciprocal space maps were measured and their simulation
showed that the single crystal has a mosaic structure with mean size of mosaic
blocks of approximately 60 nm.
|
cond-mat.mtrl-sci
|
the methodology of single crystal growth of metastable betati alloy timetal lcb in an optical floating zone furnace is presented in this paper chemical compositions of both precursor material and single crystals were checked it was found that the concentration of base alloying elements did not change significantly during the growth process while the concentrations of interstitial elements o and n increased dsc measurement determined that this concentration shift has a slight impact on ongoing phase transformations as in the singlecrystalline material peak associated with alpha phase precipitation moves by a few degrees to a lower temperature and peak attributed to diffusion controlled growth of omega particles shifts to a higher temperature xray reciprocal space maps were measured and their simulation showed that the single crystal has a mosaic structure with mean size of mosaic blocks of approximately 60 nm
|
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|
[-0.09945336103032296, 0.2187305281003443, -0.04953724649741495, -0.054756785147814915, -0.0015280276148332108, -0.10145379660865493, 0.11190199920080146, 0.41563150969086043, -0.2723760671257008, -0.3326569556010713, 0.05717132448992632, -0.2995695210658282, -0.08951649200606743, 0.1494678889104775, -0.01647494227471326, 0.010340461145630843, 0.009021428319886863, -0.010239026509225368, -0.09950619007849383, -0.2406439300946449, 0.21851142556339556, 0.09867613347207042, 0.3073570810177987, 0.025673067186315873, 0.07148103789918848, -0.027581967058316836, 0.029431687460260855, 0.03408728216074595, -0.15171243416445065, 0.057862436157657945, 0.21164306675305042, 0.007613585219993222, 0.2094985423760368, -0.4061059110124575, -0.24264096234683885, 0.04920670434015153, 0.13738130289632425, 0.07569925742150158, -0.1109830032901758, -0.21040775423380378, 0.05458071784337433, -0.12377457623537495, -0.14170237728763077, 0.008081137679229163, 0.03336397916909388, 0.01338123789361993, -0.21970420962295045, 0.08267007072677286, 0.03571352136167262, 0.11308270270715086, -0.11314393262874683, -0.14194720027057064, -0.10456642365994843, 0.07613514447517747, -0.0074182055128835436, 0.05060558511687965, 0.21485828199229545, -0.06615999301145081, -0.04747467287883109, 0.36687447898518694, -0.06268853829208788, -0.06432138028007718, 0.14424491968850117, -0.2241457703777944, -0.08065312332976207, 0.25004357798695026, 0.13635846490975095, 0.0938005601089421, -0.13002453277452025, 0.04256953929363341, 0.012411073855251717, 0.2579187573530048, 0.13635955238044797, -0.014085380772544112, 0.19149446881731316, 0.18328173863266012, 0.009493994988876282, 0.14123554308580488, -0.1267750832464097, -0.022638076976638475, -0.21618475056782688, -0.20290381401582963, -0.16490475621355846, 0.03329476671766158, -0.11167960217442002, -0.18969402602612437, 0.340600009230401, 0.05815295299863536, 0.19574402259300938, -0.03424464879396687, 0.19317630397343485, 0.0720979472975709, 0.11790618821543059, -0.025998666490555454, 0.22308682931064489, 0.15547368990880497, 0.1537021074172699, -0.24443103100019073, 0.14900350575871338, 0.01466119369130126]
|
1,803.07413
|
Homing in on Polaris: A 7 M$_\odot$ first-overtone Cepheid entering the
instability strip for the first time
|
A recently presented HST/FGS parallax measurement of the Polaris system has
been interpreted as evidence for the Cepheid Polaris Aa to be pulsating in the
second overtone. An age discrepancy between components A and B has been noted
and discussed in terms of a stellar merger. Here I show that the new parallax
of Polaris is consistent with a simpler interpretation of Polaris as a $7
\rm{M}_\odot,$ first-overtone, classical Cepheid near the hot boundary of the
first instability strip crossing. This picture is anchored to rates of period
change, the period-luminosity relation, the location in color-magnitude space,
the interferometrically determined radius, spectroscopic N/C and N/O
enhancements, and a dynamical mass measurement. The detailed agreement between
models and data corroborates the physical association between the Cepheid and
its visual companion as well as the accuracy of the HST parallax. The age
discrepancy between components A and B is confirmed and requires further
analysis, for example to investigate the possibility of stellar mergers in an
evaporating birth cluster of which the Polaris triple system would be the
remaining core.
|
astro-ph.SR
|
a recently presented hstfgs parallax measurement of the polaris system has been interpreted as evidence for the cepheid polaris aa to be pulsating in the second overtone an age discrepancy between components a and b has been noted and discussed in terms of a stellar merger here i show that the new parallax of polaris is consistent with a simpler interpretation of polaris as a 7 rmm_odot firstovertone classical cepheid near the hot boundary of the first instability strip crossing this picture is anchored to rates of period change the periodluminosity relation the location in colormagnitude space the interferometrically determined radius spectroscopic nc and no enhancements and a dynamical mass measurement the detailed agreement between models and data corroborates the physical association between the cepheid and its visual companion as well as the accuracy of the hst parallax the age discrepancy between components a and b is confirmed and requires further analysis for example to investigate the possibility of stellar mergers in an evaporating birth cluster of which the polaris triple system would be the remaining core
|
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|
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|
1,803.07414
|
The VANDELS ESO public spectroscopic survey
|
VANDELS is a uniquely-deep spectroscopic survey of high-redshift galaxies
with the VIMOS spectrograph on ESO's Very Large Telescope (VLT). The survey has
obtained ultra-deep optical (0.48 < lambda < 1.0 micron) spectroscopy of ~2100
galaxies within the redshift interval 1.0 < z < 7.0, over a total area of ~0.2
sq. degrees centred on the CANDELS UDS and CDFS fields. Based on accurate
photometric redshift pre-selection, 85% of the galaxies targeted by VANDELS
were selected to be at z>=3. Exploiting the red sensitivity of the refurbished
VIMOS spectrograph, the fundamental aim of the survey is to provide the high
signal-to-noise ratio spectra necessary to measure key physical properties such
as stellar population ages, masses, metallicities and outflow velocities from
detailed absorption-line studies. Using integration times calculated to produce
an approximately constant signal-to-noise ratio (20 < t_int < 80 hours), the
VANDELS survey targeted: a) bright star-forming galaxies at 2.4 < z < 5.5, b)
massive quiescent galaxies at 1.0 < z < 2.5, c) fainter star-forming galaxies
at 3.0 < z < 7.0 and d) X-ray/Spitzer-selected active galactic nuclei and
Herschel-detected galaxies. By targeting two extragalactic survey fields with
superb multi-wavelength imaging data, VANDELS will produce a unique legacy data
set for exploring the physics underpinning high-redshift galaxy evolution. In
this paper we provide an overview of the VANDELS survey designed to support the
science exploitation of the first ESO public data release, focusing on the
scientific motivation, survey design and target selection.
|
astro-ph.GA
|
vandels is a uniquelydeep spectroscopic survey of highredshift galaxies with the vimos spectrograph on esos very large telescope vlt the survey has obtained ultradeep optical 048 lambda 10 micron spectroscopy of 2100 galaxies within the redshift interval 10 z 70 over a total area of 02 sq degrees centred on the candels uds and cdfs fields based on accurate photometric redshift preselection 85 of the galaxies targeted by vandels were selected to be at z3 exploiting the red sensitivity of the refurbished vimos spectrograph the fundamental aim of the survey is to provide the high signaltonoise ratio spectra necessary to measure key physical properties such as stellar population ages masses metallicities and outflow velocities from detailed absorptionline studies using integration times calculated to produce an approximately constant signaltonoise ratio 20 t_int 80 hours the vandels survey targeted a bright starforming galaxies at 24 z 55 b massive quiescent galaxies at 10 z 25 c fainter starforming galaxies at 30 z 70 and d xrayspitzerselected active galactic nuclei and herscheldetected galaxies by targeting two extragalactic survey fields with superb multiwavelength imaging data vandels will produce a unique legacy data set for exploring the physics underpinning highredshift galaxy evolution in this paper we provide an overview of the vandels survey designed to support the science exploitation of the first eso public data release focusing on the scientific motivation survey design and target selection
|
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|
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|
1,803.07415
|
A Landauer Limit for Robotic Manipulation
|
A major role of robots is to assist in assembly by moving building blocks and
by exerting forces, e.g. to snap parts together. At the molecular scale,
diffusive transport and thermal forces permit self-assembly, and molecular
robots can only accelerate the process by performing work. This raises the
question if - similar to Landauer's principle in computing - there is a lower
limit to the work done by a robot for a given acceleration of an assembly
process. Here, a brief analysis suggests that a doubling of a reaction rate by
robotic manipulation requires at least kBTln2 in energy expenditure, either to
perform mechanical work or to erase information.
|
cond-mat.stat-mech
|
a major role of robots is to assist in assembly by moving building blocks and by exerting forces eg to snap parts together at the molecular scale diffusive transport and thermal forces permit selfassembly and molecular robots can only accelerate the process by performing work this raises the question if similar to landauers principle in computing there is a lower limit to the work done by a robot for a given acceleration of an assembly process here a brief analysis suggests that a doubling of a reaction rate by robotic manipulation requires at least kbtln2 in energy expenditure either to perform mechanical work or to erase information
|
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|
[-0.11575538692732323, 0.1528233728397095, -0.09250754759156031, -0.01363051193090181, -0.09047172683343854, -0.1260540880469324, 0.08858728461612218, 0.3614091690418855, -0.2765692264250181, -0.36248513478082867, 0.08297555988439236, -0.2133499282403445, -0.1159279035461434, 0.20203170798639855, -0.061213637781241594, 0.040664012614145595, 0.09093626712466467, -0.007507754902724388, 0.02172718915148234, -0.1996288401566727, 0.2807433937658679, 0.14031542804672048, 0.22215455449361987, 0.06966325970595035, 0.13954793579243827, 0.024958313756868383, 0.0004221290429034885, 0.0008565488816151079, -0.13186381019374305, 0.1307221927794294, 0.24820870437817472, 0.0829754368981944, 0.3195368160388239, -0.5056083935119633, -0.22396101652345848, 0.08918681185371857, 0.1703327768420491, 0.1099045827000771, -0.061124501163403525, -0.2214474996797881, 0.05984578875578799, -0.1350541949746603, -0.13442838556058528, -0.056393279162464, 0.02619176182922257, -0.011196190311204432, -0.249911037695436, 0.05206830429686409, 0.09174116955683478, 0.07489634429122198, -0.02708800080812202, -0.026354567406980216, 0.024693693087067245, 0.1734484349759647, 0.010341987733724791, 0.050346785071492636, 0.24141070854911617, -0.14899511823105574, -0.13135307119008294, 0.4079090188661555, -0.018305279094866424, -0.1848278275980913, 0.22164383812759178, -0.08222452645137343, -0.1397554487306273, 0.12318464920346467, 0.1698786645582965, 0.07548039426526301, -0.20193652558702765, 0.02633869011704107, 0.05338204544002436, 0.17618570001224793, 0.09840521325339686, -0.04916147316173422, 0.24473126338935405, 0.20791745611097454, 0.09762521548952274, 0.11303912978267895, -0.020857332476397168, -0.0920643046111712, -0.2320633796307276, -0.19797993678915896, -0.19372367171816668, 0.07786024876821891, -0.014780426994960025, -0.09200789567900224, 0.3063259433146636, 0.14995538133618264, 0.2130071162290098, 0.031786228591611364, 0.34072365857801346, 0.06090650983365639, 0.09824790243270262, 0.08035935693033883, 0.23564695802798388, 0.06677251456103306, 0.11661274341497359, -0.23044901639925983, 0.08509033929802617, 0.04587956436004771]
|
1,803.07416
|
Tensor2Tensor for Neural Machine Translation
|
Tensor2Tensor is a library for deep learning models that is well-suited for
neural machine translation and includes the reference implementation of the
state-of-the-art Transformer model.
|
cs.LG cs.CL stat.ML
|
tensor2tensor is a library for deep learning models that is wellsuited for neural machine translation and includes the reference implementation of the stateoftheart transformer model
|
[['tensor2tensor', 'is', 'a', 'library', 'for', 'deep', 'learning', 'models', 'that', 'is', 'wellsuited', 'for', 'neural', 'machine', 'translation', 'and', 'includes', 'the', 'reference', 'implementation', 'of', 'the', 'stateoftheart', 'transformer', 'model']]
|
[0.002344697862863541, -0.03792406672379002, -0.0466349782794714, 0.08020373881794512, -0.1130782438069582, -0.2549167606048286, -0.051814455986022946, 0.47091597139835356, -0.26584809124469755, -0.27824493408203127, 0.028140308037400245, -0.22978281151503324, -0.15897687820950523, 0.29001853042282166, -0.11523807544261216, 0.1470278238132596, 0.1658140645828098, 0.021927564218640328, -0.0705887783691287, -0.21719036594033242, 0.2609846636187285, 0.07278846002067439, 0.42419281527400016, -0.027822504229843618, 0.191355582177639, -0.038088616020977496, -0.016624925211071968, -0.07594230003654957, 0.013212400701304432, 0.2143261381611228, 0.26623932205795425, 0.2776895542442799, 0.32584617882966993, -0.33625010296702385, -0.24621642626821993, 0.029895351072773337, 0.07584496788680553, 0.14397046148777007, -0.019963594265282155, -0.24610538817942143, 0.09268144809640944, -0.21724582880735396, 0.028284782357513905, -0.21636828064918517, 0.01433648167643696, 0.032624506652355195, -0.3160639423131943, -0.023636265248060225, 0.15153663001954557, 0.11924304649233818, -0.05787289776839316, -0.1222589423507452, 0.05942981768399477, 0.10605486338958144, -0.05895081723574549, 0.15564862441271543, 0.12360333926975726, -0.22685561425983905, -0.15594641037285328, 0.39592509731650355, -0.14315113961696624, -0.1974753522872925, 0.18376236729323864, 0.12895192228257657, -0.18561876258812846, 0.03679064154624939, 0.26433004438877106, 0.10644426573067904, -0.16237009834498167, 0.1312011807388626, -0.030003796629607678, 0.17767792429775, -0.06333143878728151, -0.09711542388424277, 0.1807453430071473, 0.3985373679548502, -0.05795778714120388, 0.14925507370382549, -0.13996546456590295, -0.13850444063544273, -0.25773136764764787, -0.1219661920517683, -0.1367447505518794, -0.08036265261471272, -0.052613427023752594, -0.1866978122293949, 0.40803487300872804, 0.23004933148622514, 0.09860835997387767, 0.1815373569726944, 0.38781343564391135, 0.03765517048537731, 0.22831183575093747, 0.16208566753193737, 0.1694404137507081, 0.061422397047281266, 0.16933273106813432, -0.14012168016284704, 0.08588217226788401, 0.06531092455610633]
|
1,803.07417
|
Every smooth Jordan curve has an inscribed rectangle with aspect ratio
equal to $\sqrt{3}$
|
We use Batson's lower bound on the nonorientable slice genus of
$(2n,2n-1)$-torus knots to prove that for any $n \geq 2$, every smooth Jordan
curve has an inscribed rectangle of of aspect ratio $\tan(\frac{\pi k}{2n})$
for some $k\in \{1,...,n-1\}$. Setting $n = 3$, we have that every smooth
Jordan curve has an inscribed rectangle of aspect ratio $\sqrt{3}$.
|
math.MG
|
we use batsons lower bound on the nonorientable slice genus of 2n2n1torus knots to prove that for any n geq 2 every smooth jordan curve has an inscribed rectangle of of aspect ratio tanfracpi k2n for some kin 1n1 setting n 3 we have that every smooth jordan curve has an inscribed rectangle of aspect ratio sqrt3
|
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|
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|
1,803.07418
|
Large-Scale Model Selection with Misspecification
|
Model selection is crucial to high-dimensional learning and inference for
contemporary big data applications in pinpointing the best set of covariates
among a sequence of candidate interpretable models. Most existing work assumes
implicitly that the models are correctly specified or have fixed
dimensionality. Yet both features of model misspecification and high
dimensionality are prevalent in practice. In this paper, we exploit the
framework of model selection principles in misspecified models originated in Lv
and Liu (2014) and investigate the asymptotic expansion of Bayesian principle
of model selection in the setting of high-dimensional misspecified models. With
a natural choice of prior probabilities that encourages interpretability and
incorporates Kullback-Leibler divergence, we suggest the high-dimensional
generalized Bayesian information criterion with prior probability (HGBIC_p) for
large-scale model selection with misspecification. Our new information
criterion characterizes the impacts of both model misspecification and high
dimensionality on model selection. We further establish the consistency of
covariance contrast matrix estimation and the model selection consistency of
HGBIC_p in ultra-high dimensions under some mild regularity conditions. The
advantages of our new method are supported by numerical studies.
|
stat.ME math.ST stat.AP stat.CO stat.ML stat.TH
|
model selection is crucial to highdimensional learning and inference for contemporary big data applications in pinpointing the best set of covariates among a sequence of candidate interpretable models most existing work assumes implicitly that the models are correctly specified or have fixed dimensionality yet both features of model misspecification and high dimensionality are prevalent in practice in this paper we exploit the framework of model selection principles in misspecified models originated in lv and liu 2014 and investigate the asymptotic expansion of bayesian principle of model selection in the setting of highdimensional misspecified models with a natural choice of prior probabilities that encourages interpretability and incorporates kullbackleibler divergence we suggest the highdimensional generalized bayesian information criterion with prior probability hgbic_p for largescale model selection with misspecification our new information criterion characterizes the impacts of both model misspecification and high dimensionality on model selection we further establish the consistency of covariance contrast matrix estimation and the model selection consistency of hgbic_p in ultrahigh dimensions under some mild regularity conditions the advantages of our new method are supported by numerical studies
|
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|
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|
1,803.07419
|
Fractal analysis of the large-scale stellar mass distribution in the
Sloan Digital Sky Survey
|
A novel fractal analysis of the cosmic web structure is carried out,
employing the Sloan Digital Sky Survey, data release 7. We consider the
large-scale stellar mass distribution, unlike other analyses, and determine its
multifractal geometry, which is compared with the geometry of the cosmic web
generated by cosmological N-body simulations. We find a good concordance, the
common features being: (i) a minimum singularity strength equal to one, which
corresponds to the edge of diverging gravitational energy and differs from the
adhesion model prediction; (ii) a "supercluster set" of relatively high
dimension where the mass concentrates; and (iii) a non-lacunar structure, like
the one generated by the adhesion model.
|
astro-ph.CO physics.data-an
|
a novel fractal analysis of the cosmic web structure is carried out employing the sloan digital sky survey data release 7 we consider the largescale stellar mass distribution unlike other analyses and determine its multifractal geometry which is compared with the geometry of the cosmic web generated by cosmological nbody simulations we find a good concordance the common features being i a minimum singularity strength equal to one which corresponds to the edge of diverging gravitational energy and differs from the adhesion model prediction ii a supercluster set of relatively high dimension where the mass concentrates and iii a nonlacunar structure like the one generated by the adhesion model
|
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|
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|
1,803.0742
|
A conformally flat realistic anisotropic model for a compact star
|
A physically realistic stellar model with a simple expression for the energy
density and conformally flat interior is found. The relations between the
different physical conditions are used without graphic proofs. It may represnet
a real pulsar.
|
gr-qc astro-ph.SR
|
a physically realistic stellar model with a simple expression for the energy density and conformally flat interior is found the relations between the different physical conditions are used without graphic proofs it may represnet a real pulsar
|
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|
[-0.11869421991125112, 0.10839619968707363, -0.09949582195582075, 0.17292880193498503, -0.15322149627091777, -0.15380779629211044, -0.03732922073039743, 0.3917794408690598, -0.1790590452340742, -0.3486680316628836, 0.054435895018589996, -0.199154776857338, -0.14427224774327543, 0.26620504585379323, -0.020139010157436132, 0.041545852553099394, 0.06604871171940532, 0.05093551706522703, -0.10154751945649171, -0.1665085139195273, 0.31055928857272697, 0.007629390029857556, 0.23834771011024714, 0.053769560414366424, 0.09029594061171843, -0.08200655069797197, -0.001009049062203202, 0.00891829020757642, -0.17228222423647013, 0.08673384106562783, 0.22841897371432018, 0.13040601762218607, 0.1875206120053513, -0.45361884078010917, -0.2384439221997228, 0.08583164248718983, 0.08167091879941937, 0.09707231873956819, -0.05748161660610802, -0.25128843661190736, 0.060641693714488715, -0.15666901985079879, -0.16851757016653815, -0.01804773320650889, 0.031773632754468255, 0.0014306603310008843, -0.28947835974395275, 0.0733193863545441, 0.007728597601979143, 0.04175821334744493, -0.13236861092607594, -0.06801398385626574, -0.08230406170090039, 0.11596493413930552, -0.029636663937708363, -0.00039962972773032054, 0.11343755600197862, -0.08630845822497374, -0.018828103525771037, 0.405768885755808, -0.005768819039480554, -0.2992432999631597, 0.26129705242864376, -0.11870290853807496, -0.0919429471121273, 0.07668330943367134, 0.08015441170169248, 0.0882517164055672, -0.22960363695811895, 0.09254911984155317, -0.08163723803914359, 0.15599923003982338, 0.06850256368569616, -0.010668380056611367, 0.30501302559342647, 0.07436296584556759, 0.017522992540357843, 0.12190578597235596, -0.060683747546540365, -0.09595056950476849, -0.3366851078139411, -0.11310356938176686, -0.16072172275744379, 0.08152150453275277, -0.20580300145431668, -0.192506446218532, 0.36884361678514527, 0.06447498783947797, 0.1756909799296409, 0.07375016689507498, 0.33301889513515764, 0.13581730156309074, 0.05559006004801227, 0.111965348957003, 0.19730328983213338, 0.13833987795644337, 0.10227583664365941, -0.14758087033664602, 0.0669619364456998, 0.01937778806960624]
|
1,803.07421
|
Del Pezzo surfaces over finite fields
|
Let $X$ be a del Pezzo surface of degree $2$ or greater over a finite field
$\mathbb{F}_q$. The image $\Gamma$ of the Galois group
$\operatorname{Gal}(\overline{\mathbb{F}}_q / \mathbb{F}_q)$ in the group
$\operatorname{Aut}(\mathrm{Pic}(\overline{X}))$ is a cyclic subgroup
preserving the anticanonical class and the intersection form. The conjugacy
class of $\Gamma$ in the subgroup of
$\operatorname{Aut}(\mathrm{Pic}(\overline{X}))$ preserving the anticanonical
class and the intersection form is a natural invariant of $X$. We say that the
conjugacy class of $\Gamma$ in $\operatorname{Aut}(\mathrm{Pic}(\overline{X}))$
is the \textit{type} of a del Pezzo surface. In this paper we study which types
of del Pezzo surfaces of degree $2$ or greater can be realized for given $q$.
We collect known results about this problem and fill the gaps.
|
math.AG math.NT
|
let x be a del pezzo surface of degree 2 or greater over a finite field mathbbf_q the image gamma of the galois group operatornamegaloverlinemathbbf_q mathbbf_q in the group operatornameautmathrmpicoverlinex is a cyclic subgroup preserving the anticanonical class and the intersection form the conjugacy class of gamma in the subgroup of operatornameautmathrmpicoverlinex preserving the anticanonical class and the intersection form is a natural invariant of x we say that the conjugacy class of gamma in operatornameautmathrmpicoverlinex is the textittype of a del pezzo surface in this paper we study which types of del pezzo surfaces of degree 2 or greater can be realized for given q we collect known results about this problem and fill the gaps
|
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|
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|
1,803.07422
|
Patch-Based Image Inpainting with Generative Adversarial Networks
|
Area of image inpainting over relatively large missing regions recently
advanced substantially through adaptation of dedicated deep neural networks.
However, current network solutions still introduce undesired artifacts and
noise to the repaired regions. We present an image inpainting method that is
based on the celebrated generative adversarial network (GAN) framework. The
proposed PGGAN method includes a discriminator network that combines a global
GAN (G-GAN) architecture with a patchGAN approach. PGGAN first shares network
layers between G-GAN and patchGAN, then splits paths to produce two adversarial
losses that feed the generator network in order to capture both local
continuity of image texture and pervasive global features in images. The
proposed framework is evaluated extensively, and the results including
comparison to recent state-of-the-art demonstrate that it achieves considerable
improvements on both visual and quantitative evaluations.
|
cs.CV
|
area of image inpainting over relatively large missing regions recently advanced substantially through adaptation of dedicated deep neural networks however current network solutions still introduce undesired artifacts and noise to the repaired regions we present an image inpainting method that is based on the celebrated generative adversarial network gan framework the proposed pggan method includes a discriminator network that combines a global gan ggan architecture with a patchgan approach pggan first shares network layers between ggan and patchgan then splits paths to produce two adversarial losses that feed the generator network in order to capture both local continuity of image texture and pervasive global features in images the proposed framework is evaluated extensively and the results including comparison to recent stateoftheart demonstrate that it achieves considerable improvements on both visual and quantitative evaluations
|
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|
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|
1,803.07423
|
A Distance Oriented Kalman Filter Particle Swarm Optimizer Applied to
Multi-Modality Image Registration
|
In this paper we describe improvements to the particle swarm optimizer (PSO)
made by inclusion of an unscented Kalman filter to guide particle motion. We
demonstrate the effectiveness of the unscented Kalman filter PSO by comparing
it with the original PSO algorithm and its variants designed to improve
performance. The PSOs were tested firstly on a number of common synthetic
benchmarking functions, and secondly applied to a practical three-dimensional
image registration problem. The proposed methods displayed better performances
for 4 out of 8 benchmark functions, and reduced the target registration errors
by at least 2mm when registering down-sampled benchmark brain images. Our
methods also demonstrated an ability to align images featuring motion related
artefacts which all other methods failed to register. These new PSO methods
provide a novel, efficient mechanism to integrate prior knowledge into each
iteration of the optimization process, which can enhance the accuracy and speed
of convergence in the application of medical image registration.
|
cs.NE cs.CV cs.LG math.OC
|
in this paper we describe improvements to the particle swarm optimizer pso made by inclusion of an unscented kalman filter to guide particle motion we demonstrate the effectiveness of the unscented kalman filter pso by comparing it with the original pso algorithm and its variants designed to improve performance the psos were tested firstly on a number of common synthetic benchmarking functions and secondly applied to a practical threedimensional image registration problem the proposed methods displayed better performances for 4 out of 8 benchmark functions and reduced the target registration errors by at least 2mm when registering downsampled benchmark brain images our methods also demonstrated an ability to align images featuring motion related artefacts which all other methods failed to register these new pso methods provide a novel efficient mechanism to integrate prior knowledge into each iteration of the optimization process which can enhance the accuracy and speed of convergence in the application of medical image registration
|
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|
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|
1,803.07424
|
MeerTime - the MeerKAT Key Science Program on Pulsar Timing
|
The MeerKAT telescope represents an outstanding opportunity for radio pulsar
timing science with its unique combination of a large collecting area and
aperture efficiency (effective area $\sim$7500 m$^2$), system temperature
($T<20$K), high slew speeds (1-2 deg/s), large bandwidths (770 MHz at 20cm
wavelengths), southern hemisphere location (latitude $\sim -30^\circ$) and
ability to form up to four sub-arrays. The MeerTime project is a five-year
program on the MeerKAT array by an international consortium that will regularly
time over 1000 radio pulsars to perform tests of relativistic gravity, search
for the gravitational wave signature induced by supermassive black hole
binaries in the timing residuals of millisecond pulsars, explore the interiors
of neutron stars through a pulsar glitch monitoring programme, explore the
origin and evolution of binary pulsars, monitor the swarms of pulsars that
inhabit globular clusters and monitor radio magnetars. In addition to these
primary programmes, over 1000 pulsars will have their arrival times monitored
and the data made immediately public. The MeerTime pulsar backend comprises two
server-class machines each of which possess four Graphics Processing Units. Up
to four pulsars can be coherently dedispersed simultaneously up to dispersion
measures of over 1000 pc cm$^{-3}$. All data will be provided in psrfits
format. The MeerTime backend will be capable of producing coherently
dedispersed filterbank data for timing multiple pulsars in the cores of
globular clusters that is useful for pulsar searches of tied array beams. All
MeerTime data will ultimately be made available for public use, and any
published results will include the arrival times and profiles used in the
results.
|
astro-ph.IM astro-ph.HE
|
the meerkat telescope represents an outstanding opportunity for radio pulsar timing science with its unique combination of a large collecting area and aperture efficiency effective area sim7500 m2 system temperature t20k high slew speeds 12 degs large bandwidths 770 mhz at 20cm wavelengths southern hemisphere location latitude sim 30circ and ability to form up to four subarrays the meertime project is a fiveyear program on the meerkat array by an international consortium that will regularly time over 1000 radio pulsars to perform tests of relativistic gravity search for the gravitational wave signature induced by supermassive black hole binaries in the timing residuals of millisecond pulsars explore the interiors of neutron stars through a pulsar glitch monitoring programme explore the origin and evolution of binary pulsars monitor the swarms of pulsars that inhabit globular clusters and monitor radio magnetars in addition to these primary programmes over 1000 pulsars will have their arrival times monitored and the data made immediately public the meertime pulsar backend comprises two serverclass machines each of which possess four graphics processing units up to four pulsars can be coherently dedispersed simultaneously up to dispersion measures of over 1000 pc cm3 all data will be provided in psrfits format the meertime backend will be capable of producing coherently dedispersed filterbank data for timing multiple pulsars in the cores of globular clusters that is useful for pulsar searches of tied array beams all meertime data will ultimately be made available for public use and any published results will include the arrival times and profiles used in the results
|
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|
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|
1,803.07425
|
Existence of hypercylinder expanders of the inverse mean curvature flow
|
We will give a new proof of the existence of hypercylinder expander of the
inverse mean curvature flow which is a radially symmetric homothetic soliton of
the inverse mean curvature flow in $\mathbb{R}^n\times \mathbb{R}$, $n\ge 2$,
of the form $(r,y(r))$ or $(r(y),y)$ where $r=|x|$, $x\in\mathbb{R}^n$, is the
radially symmetric coordinate and $y\in \mathbb{R}$. More precisely for any
$\lambda>\frac{1}{n-1}$ and $\mu>0$, we will give a new proof of the existence
of a unique even solution $r(y)$ of the equation
$\frac{r''(y)}{1+r'(y)^2}=\frac{n-1}{r(y)}-\frac{1+r'(y)^2}{\lambda(r(y)-yr'(y))}$
in $\mathbb{R}$ which satisfies $r(0)=\mu$, $r'(0)=0$ and $r(y)>yr'(y)>0$ for
any $y\in\mathbb{R}$. We will prove that $\lim_{y\to\infty}r(y)=\infty$ and
$a_1:=\lim_{y\to\infty}r'(y)$ exists with $0\le a_1<\infty$. We will also give
a new proof of the existence of a constant $y_1>0$ such that $r''(y_1)=0$,
$r''(y)>0$ for any $0<y<y_1$ and $r''(y)<0$ for any $y>y_1$.
|
math.AP math.DG
|
we will give a new proof of the existence of hypercylinder expander of the inverse mean curvature flow which is a radially symmetric homothetic soliton of the inverse mean curvature flow in mathbbrntimes mathbbr nge 2 of the form ryr or ryy where rx xinmathbbrn is the radially symmetric coordinate and yin mathbbr more precisely for any lambdafrac1n1 and mu0 we will give a new proof of the existence of a unique even solution ry of the equation fracry1ry2fracn1ryfrac1ry2lambdaryyry in mathbbr which satisfies r0mu r00 and ryyry0 for any yinmathbbr we will prove that lim_ytoinftyryinfty and a_1lim_ytoinftyry exists with 0le a_1infty we will also give a new proof of the existence of a constant y_10 such that ry_10 ry0 for any 0yy_1 and ry0 for any yy_1
|
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|
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|
1,803.07426
|
DUGMA: Dynamic Uncertainty-Based Gaussian Mixture Alignment
|
Registering accurately point clouds from a cheap low-resolution sensor is a
challenging task. Existing rigid registration methods failed to use the
physical 3D uncertainty distribution of each point from a real sensor in the
dynamic alignment process mainly because the uncertainty model for a point is
static and invariant and it is hard to describe the change of these physical
uncertainty models in the registration process. Additionally, the existing
Gaussian mixture alignment architecture cannot be efficiently implement these
dynamic changes.
This paper proposes a simple architecture combining error estimation from
sample covariances and dual dynamic global probability alignment using the
convolution of uncertainty-based Gaussian Mixture Models (GMM) from point
clouds. Firstly, we propose an efficient way to describe the change of each 3D
uncertainty model, which represents the structure of the point cloud much
better. Unlike the invariant GMM (representing a fixed point cloud) in
traditional Gaussian mixture alignment, we use two uncertainty-based GMMs that
change and interact with each other in each iteration. In order to have a wider
basin of convergence than other local algorithms, we design a more robust
energy function by convolving efficiently the two GMMs over the whole 3D space.
Tens of thousands of trials have been conducted on hundreds of models from
multiple datasets to demonstrate the proposed method's superior performance
compared with the current state-of-the-art methods. The new dataset and code is
available from https://github.com/Canpu999
|
cs.CV
|
registering accurately point clouds from a cheap lowresolution sensor is a challenging task existing rigid registration methods failed to use the physical 3d uncertainty distribution of each point from a real sensor in the dynamic alignment process mainly because the uncertainty model for a point is static and invariant and it is hard to describe the change of these physical uncertainty models in the registration process additionally the existing gaussian mixture alignment architecture cannot be efficiently implement these dynamic changes this paper proposes a simple architecture combining error estimation from sample covariances and dual dynamic global probability alignment using the convolution of uncertaintybased gaussian mixture models gmm from point clouds firstly we propose an efficient way to describe the change of each 3d uncertainty model which represents the structure of the point cloud much better unlike the invariant gmm representing a fixed point cloud in traditional gaussian mixture alignment we use two uncertaintybased gmms that change and interact with each other in each iteration in order to have a wider basin of convergence than other local algorithms we design a more robust energy function by convolving efficiently the two gmms over the whole 3d space tens of thousands of trials have been conducted on hundreds of models from multiple datasets to demonstrate the proposed methods superior performance compared with the current stateoftheart methods the new dataset and code is available from httpsgithubcomcanpu999
|
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|
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|
1,803.07427
|
Multimodal Sentiment Analysis: Addressing Key Issues and Setting up the
Baselines
|
We compile baselines, along with dataset split, for multimodal sentiment
analysis. In this paper, we explore three different deep-learning based
architectures for multimodal sentiment classification, each improving upon the
previous. Further, we evaluate these architectures with multiple datasets with
fixed train/test partition. We also discuss some major issues, frequently
ignored in multimodal sentiment analysis research, e.g., role of
speaker-exclusive models, importance of different modalities, and
generalizability. This framework illustrates the different facets of analysis
to be considered while performing multimodal sentiment analysis and, hence,
serves as a new benchmark for future research in this emerging field.
|
cs.CL cs.CV cs.IR
|
we compile baselines along with dataset split for multimodal sentiment analysis in this paper we explore three different deeplearning based architectures for multimodal sentiment classification each improving upon the previous further we evaluate these architectures with multiple datasets with fixed traintest partition we also discuss some major issues frequently ignored in multimodal sentiment analysis research eg role of speakerexclusive models importance of different modalities and generalizability this framework illustrates the different facets of analysis to be considered while performing multimodal sentiment analysis and hence serves as a new benchmark for future research in this emerging field
|
[['we', 'compile', 'baselines', 'along', 'with', 'dataset', 'split', 'for', 'multimodal', 'sentiment', 'analysis', 'in', 'this', 'paper', 'we', 'explore', 'three', 'different', 'deeplearning', 'based', 'architectures', 'for', 'multimodal', 'sentiment', 'classification', 'each', 'improving', 'upon', 'the', 'previous', 'further', 'we', 'evaluate', 'these', 'architectures', 'with', 'multiple', 'datasets', 'with', 'fixed', 'traintest', 'partition', 'we', 'also', 'discuss', 'some', 'major', 'issues', 'frequently', 'ignored', 'in', 'multimodal', 'sentiment', 'analysis', 'research', 'eg', 'role', 'of', 'speakerexclusive', 'models', 'importance', 'of', 'different', 'modalities', 'and', 'generalizability', 'this', 'framework', 'illustrates', 'the', 'different', 'facets', 'of', 'analysis', 'to', 'be', 'considered', 'while', 'performing', 'multimodal', 'sentiment', 'analysis', 'and', 'hence', 'serves', 'as', 'a', 'new', 'benchmark', 'for', 'future', 'research', 'in', 'this', 'emerging', 'field']]
|
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|
1,803.07428
|
Post-buckling behaviour of a growing elastic rod
|
We consider mechanically-induced pattern formation within the framework of a
growing, planar, elastic rod attached to an elastic foundation. Through a
combination of weakly nonlinear analysis and numerical methods, we identify how
the shape and type of buckling (super- or subcritical) depend on material
parameters, and a complex phase-space of transition from super-to subcritical
is uncovered. We then examine the effect of heterogeneity on buckling and
post-buckling behaviour, in the context of a heterogeneous substrate adhesion,
elastic stiffness, or growth. We show how the same functional form of
heterogeneity in different properties is manifest in a vastly differing
post-buckled shape. A form of inverse problem is then considered: whether
different functional forms could produce the same shape, and if this could be
detected. Finally, a fourth form of heterogeneity, an imperfect foundation, is
incorporated and shown to have a more dramatic impact on the buckling
instability, a difference that can be qualitatively understood via the weakly
nonlinear analysis.
|
physics.bio-ph physics.app-ph
|
we consider mechanicallyinduced pattern formation within the framework of a growing planar elastic rod attached to an elastic foundation through a combination of weakly nonlinear analysis and numerical methods we identify how the shape and type of buckling super or subcritical depend on material parameters and a complex phasespace of transition from superto subcritical is uncovered we then examine the effect of heterogeneity on buckling and postbuckling behaviour in the context of a heterogeneous substrate adhesion elastic stiffness or growth we show how the same functional form of heterogeneity in different properties is manifest in a vastly differing postbuckled shape a form of inverse problem is then considered whether different functional forms could produce the same shape and if this could be detected finally a fourth form of heterogeneity an imperfect foundation is incorporated and shown to have a more dramatic impact on the buckling instability a difference that can be qualitatively understood via the weakly nonlinear analysis
|
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|
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|
1,803.07429
|
Steady vortex patch solutions to the vortex-wave system
|
The vortex-wave system describes the motion of a two-dimensional ideal fluid
in which the vorticity includes continuously distributed vorticity, which is
called the background vorticity, and a finite number of concentrated vortices.
In this paper we restrict ourselves to the case of a single point vortex in
bounded domains. We prove the existence of steady vortex patch solutions to
this system with prescribed distribution for the background vorticity.
Moreover, we show that the supports of these solutions "shrink" to a minimum
point of the Kirchhoff-Routh function as the strength parameter of the
background vorticity goes to infinity.
|
math.AP
|
the vortexwave system describes the motion of a twodimensional ideal fluid in which the vorticity includes continuously distributed vorticity which is called the background vorticity and a finite number of concentrated vortices in this paper we restrict ourselves to the case of a single point vortex in bounded domains we prove the existence of steady vortex patch solutions to this system with prescribed distribution for the background vorticity moreover we show that the supports of these solutions shrink to a minimum point of the kirchhoffrouth function as the strength parameter of the background vorticity goes to infinity
|
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|
[-0.20912080992627696, 0.11458628241107174, -0.07980861333822928, 0.008292604116578922, -0.0545729103104509, -0.07369548642105356, 0.004983734407884635, 0.27106309937284395, -0.2993555919065611, -0.19605464905922868, 0.08146077131050802, -0.2597698188991737, -0.07627451412149311, 0.13876222752361106, -0.05531041164757665, 0.0686586144255455, 0.018259941792288393, 0.0760614182271985, -0.020103364842031728, -0.20624274503890924, 0.3823639812420804, 0.0002991390923402973, 0.2857261099132527, 0.016339088809321223, 0.12336813268004485, -0.04727110963737227, 0.0019067295817370266, 0.07219312598295126, -0.17750841219102084, 0.07048248995057087, 0.17169817800624007, 0.061789506429460704, 0.27046259737948014, -0.4247690012160036, -0.21149883894537835, 0.1340880065522704, 0.18409112893697835, 0.15121617770907422, -0.027102655291883757, -0.25894341308421925, 0.11792281203778442, -0.13725522404402188, -0.21871531774894787, -0.020074128818976664, 0.03190932693631993, 0.10480077835471974, -0.2740849243457784, 0.07811299731148426, 0.12137808047772683, 0.018130547103001594, -0.1171713433895721, -0.041472540397830694, -0.06046659326104006, 0.0927517154594864, 0.08784311040323804, 0.08160182664209266, 0.11877859658417628, -0.19048518013477939, -0.026059722470254013, 0.3496848055612795, -0.09376932015719334, -0.27271830845508993, 0.16290159796162978, -0.181742089704524, -0.07268776293344718, 0.14415589687366462, 0.17860264842249646, 0.12190954713630922, -0.07264006384255331, 0.10582200454526398, -0.07356229610741138, 0.15519972517426348, 0.07872164333911286, -0.024414285330927557, 0.24015041615468324, 0.16113101059244467, 0.1421222201231675, 0.19223660164387876, -0.13317035352475173, -0.1122965469629955, -0.36356442897897406, -0.18387928359527334, -0.19998617416497358, 0.033962622152871845, -0.06669450310024687, -0.25244940106382535, 0.4019479944188263, 0.1528726750408712, 0.19535242032785372, 0.04839292397367355, 0.24908726284107596, 0.10999824654805407, 0.007751022513533376, 0.11221813529576223, 0.23830625003914244, 0.10787985032933198, 0.16041263549098955, -0.21201665063398248, -0.03250751533478345, 0.08626190383397114]
|
1,803.0743
|
K2-231 b: A sub-Neptune exoplanet transiting a solar twin in Ruprecht
147
|
We identify a sub-Neptune exoplanet ($R_p = 2.5 \pm 0.2$ R$_\oplus$)
transiting a solar twin in the Ruprecht 147 star cluster (3 Gyr, 300 pc, [Fe/H]
= +0.1 dex). The ~81 day light curve for EPIC 219800881 (V = 12.71) from K2
Campaign 7 shows six transits with a period of 13.84 days, a depth of ~0.06%,
and a duration of ~4 hours. Based on our analysis of high-resolution MIKE
spectra, broadband optical and NIR photometry, the cluster parallax and
interstellar reddening, and isochrone models from PARSEC, Dartmouth, and MIST,
we estimate the following properties for the host star: $M_\star = 1.01 \pm
0.03$ M$_\odot$, $R_\star= 0.95 \pm 0.03$ R$_\odot$, and $T_{\rm eff} = 5695
\pm 50$ K. This star appears to be single, based on our modeling of the
photometry, the low radial velocity variability measured over nearly ten years,
and Keck/NIRC2 adaptive optics imaging and aperture-masking interferometry.
Applying a probabilistic mass-radius relation, we estimate that the mass of
this planet is $M_p = 7 +5 -3$ M$_\oplus$, which would cause a RV
semi-amplitude of $K = 2 \pm 1$ m s$^{-1}$ that may be measurable with existing
precise RV facilities. After statistically validating this planet with BLENDER,
we now designate it K2-231 b, making it the second sub-stellar object to be
discovered in Ruprecht 147 and the first planet; it joins the small but growing
ranks of 23 other planets found in open clusters.
|
astro-ph.EP astro-ph.SR
|
we identify a subneptune exoplanet r_p 25 pm 02 r_oplus transiting a solar twin in the ruprecht 147 star cluster 3 gyr 300 pc feh 01 dex the 81 day light curve for epic 219800881 v 1271 from k2 campaign 7 shows six transits with a period of 1384 days a depth of 006 and a duration of 4 hours based on our analysis of highresolution mike spectra broadband optical and nir photometry the cluster parallax and interstellar reddening and isochrone models from parsec dartmouth and mist we estimate the following properties for the host star m_star 101 pm 003 m_odot r_star 095 pm 003 r_odot and t_rm eff 5695 pm 50 k this star appears to be single based on our modeling of the photometry the low radial velocity variability measured over nearly ten years and kecknirc2 adaptive optics imaging and aperturemasking interferometry applying a probabilistic massradius relation we estimate that the mass of this planet is m_p 7 5 3 m_oplus which would cause a rv semiamplitude of k 2 pm 1 m s1 that may be measurable with existing precise rv facilities after statistically validating this planet with blender we now designate it k2231 b making it the second substellar object to be discovered in ruprecht 147 and the first planet it joins the small but growing ranks of 23 other planets found in open clusters
|
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|
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|
1,803.07431
|
The NuMAX Long Baseline Neutrino Factory Concept
|
A Neutrino Factory where neutrinos of all species are produced in equal
quantities by muon decay is described as a facility at the intensity frontier
for exquisite precision providing ideal conditions for ultimate neutrino
studies and the ideal complement to Long Baseline Facilities like LBNF at
Fermilab. It is foreseen to be built in stages with progressively increasing
complexity and performance, taking advantage of existing or proposed facilities
at an existing laboratory like Fermilab. A tentative layout based on a
recirculating linac providing opportunities for considerable saving is
discussed as well as its possible evolution toward a muon collider if and when
requested by Physics. Tentative parameters of the various stages are presented
as well as the necessary R&D to address the technological issues and
demonstrate their feasibility.
|
physics.acc-ph hep-ex
|
a neutrino factory where neutrinos of all species are produced in equal quantities by muon decay is described as a facility at the intensity frontier for exquisite precision providing ideal conditions for ultimate neutrino studies and the ideal complement to long baseline facilities like lbnf at fermilab it is foreseen to be built in stages with progressively increasing complexity and performance taking advantage of existing or proposed facilities at an existing laboratory like fermilab a tentative layout based on a recirculating linac providing opportunities for considerable saving is discussed as well as its possible evolution toward a muon collider if and when requested by physics tentative parameters of the various stages are presented as well as the necessary rd to address the technological issues and demonstrate their feasibility
|
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|
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|
1,803.07432
|
Interplay between charge order and superconductivity in cuprate
superconductors
|
One of the central issues in the recent study of cuprate superconductors is
the interplay of charge order with superconductivity. Here the interplay of
charge order with superconductivity in cuprate superconductors is studied based
on the kinetic-energy-driven superconducting (SC) mechanism by taking into
account the intertwining between the pseudogap and SC gap. It is shown that the
appearance of the Fermi pockets is closely associated with the emergence of the
pseudogap. However, the distribution of the spectral weight of the SC-state
quasiparticle spectrum on the Fermi arc, or equivalently the front side of the
Fermi pocket, and back side of Fermi pocket is extremely anisotropic, where the
most part of the spectral weight is located around the tips of the Fermi arcs,
which in this case coincide with the hot spots on the electron Fermi surface
(EFS). In particular, as charge order in the normal-state, this EFS instability
drives charge order in the SC-state, with the charge-order wave vector that is
well consistent with the wave vector connecting the hot spots on the straight
Fermi arcs. Furthermore, this charge-order state is doping dependent, with the
charge-order wave vector that decreases in magnitude with the increase of
doping. Although there is a coexistence of charge order and superconductivity,
this charge order antagonizes superconductivity. The results from the SC-state
dynamical charge structure factor indicate the existence of a quantitative
connection between the low-energy electronic structure and collective response
of the electron density. The theory also shows that the pseudogap and charge
order have a root in common, they and superconductivity are a natural
consequence of the strong electron correlation.
|
cond-mat.supr-con
|
one of the central issues in the recent study of cuprate superconductors is the interplay of charge order with superconductivity here the interplay of charge order with superconductivity in cuprate superconductors is studied based on the kineticenergydriven superconducting sc mechanism by taking into account the intertwining between the pseudogap and sc gap it is shown that the appearance of the fermi pockets is closely associated with the emergence of the pseudogap however the distribution of the spectral weight of the scstate quasiparticle spectrum on the fermi arc or equivalently the front side of the fermi pocket and back side of fermi pocket is extremely anisotropic where the most part of the spectral weight is located around the tips of the fermi arcs which in this case coincide with the hot spots on the electron fermi surface efs in particular as charge order in the normalstate this efs instability drives charge order in the scstate with the chargeorder wave vector that is well consistent with the wave vector connecting the hot spots on the straight fermi arcs furthermore this chargeorder state is doping dependent with the chargeorder wave vector that decreases in magnitude with the increase of doping although there is a coexistence of charge order and superconductivity this charge order antagonizes superconductivity the results from the scstate dynamical charge structure factor indicate the existence of a quantitative connection between the lowenergy electronic structure and collective response of the electron density the theory also shows that the pseudogap and charge order have a root in common they and superconductivity are a natural consequence of the strong electron correlation
|
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|
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|
1,803.07433
|
Data provenance tracking as the basis for a biomedical virtual research
environment
|
In complex data analyses it is increasingly important to capture information
about the usage of data sets in addition to their preservation over time to
ensure reproducibility of results, to verify the work of others and to ensure
appropriate conditions data have been used for specific analyses. Scientific
workflow based studies are beginning to realize the benefit of capturing this
provenance of data and the activities used to process, transform and carry out
studies on those data. One way to support the development of workflows and
their use in (collaborative) biomedical analyses is through the use of a
Virtual Research Environment. The dynamic and distributed nature of Grid/Cloud
computing, however, makes the capture and processing of provenance information
a major research challenge. Furthermore most workflow provenance management
services are designed only for data-flow oriented workflows and researchers are
now realising that tracking data or workflows alone or separately is
insufficient to support the scientific process. What is required for
collaborative research is traceable and reproducible provenance support in a
full orchestrated Virtual Research Environment (VRE) that enables researchers
to define their studies in terms of the datasets and processes used, to monitor
and visualize the outcome of their analyses and to log their results so that
others users can call upon that acquired knowledge to support subsequent
studies. We have extended the work carried out in the neuGRID and N4U projects
in providing a so-called Virtual Laboratory to provide the foundation for a
generic VRE in which sets of biomedical data (images, laboratory test results,
patient records, epidemiological analyses etc.) and the workflows (pipelines)
used to process those data, together with their provenance data and results
sets are captured in the CRISTAL software.
|
cs.SE
|
in complex data analyses it is increasingly important to capture information about the usage of data sets in addition to their preservation over time to ensure reproducibility of results to verify the work of others and to ensure appropriate conditions data have been used for specific analyses scientific workflow based studies are beginning to realize the benefit of capturing this provenance of data and the activities used to process transform and carry out studies on those data one way to support the development of workflows and their use in collaborative biomedical analyses is through the use of a virtual research environment the dynamic and distributed nature of gridcloud computing however makes the capture and processing of provenance information a major research challenge furthermore most workflow provenance management services are designed only for dataflow oriented workflows and researchers are now realising that tracking data or workflows alone or separately is insufficient to support the scientific process what is required for collaborative research is traceable and reproducible provenance support in a full orchestrated virtual research environment vre that enables researchers to define their studies in terms of the datasets and processes used to monitor and visualize the outcome of their analyses and to log their results so that others users can call upon that acquired knowledge to support subsequent studies we have extended the work carried out in the neugrid and n4u projects in providing a socalled virtual laboratory to provide the foundation for a generic vre in which sets of biomedical data images laboratory test results patient records epidemiological analyses etc and the workflows pipelines used to process those data together with their provenance data and results sets are captured in the cristal software
|
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|
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|
1,803.07434
|
Evolvable Systems for Big Data Management in Business
|
Big Data systems are increasingly having to be longer lasting,
enterprise-wide and interoperable with other (legacy or new) systems.
Furthermore many organizations operate in an external environment which
dictates change at an unforeseeable rate and requires evolution in system
requirements. In these cases system development does not have a definitive end
point, rather it continues in a mutually constitutive cycle with the
organization and its requirements. Also when the period of design is of such
duration that the technology may well evolve or when the required technology is
not mature at the outset, then the design process becomes considerably more
difficult. Not only that but if the system must inter-operate with other
systems then the design process becomes considerably more difficult. Ideally in
these circumstances the design must also be able to evolve in order to react to
changing technologies and requirements and to ensure traceability between the
design and the evolving system specification. In other words extended design
periods necessitate adaptable design specifications. For interoperability Big
Data systems need to be discoverable and to work with information about other
systems with which they need to cooperate over time. We have developed software
called CRISTAL-ISE that enables dynamic system evolution and interoperability
for Big Data systems, it has been commercialised as the Agilium-NG BPM product
and is described in this paper.
|
cs.SE cs.DB
|
big data systems are increasingly having to be longer lasting enterprisewide and interoperable with other legacy or new systems furthermore many organizations operate in an external environment which dictates change at an unforeseeable rate and requires evolution in system requirements in these cases system development does not have a definitive end point rather it continues in a mutually constitutive cycle with the organization and its requirements also when the period of design is of such duration that the technology may well evolve or when the required technology is not mature at the outset then the design process becomes considerably more difficult not only that but if the system must interoperate with other systems then the design process becomes considerably more difficult ideally in these circumstances the design must also be able to evolve in order to react to changing technologies and requirements and to ensure traceability between the design and the evolving system specification in other words extended design periods necessitate adaptable design specifications for interoperability big data systems need to be discoverable and to work with information about other systems with which they need to cooperate over time we have developed software called cristalise that enables dynamic system evolution and interoperability for big data systems it has been commercialised as the agiliumng bpm product and is described in this paper
|
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|
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|
1,803.07435
|
The Deployment of an Enhanced Model-Driven Architecture for Business
Process Management
|
Business systems these days need to be agile to address the needs of a
changing world. Business modelling requires business process management to be
highly adaptable with the ability to support dynamic workflows,
inter-application integration (potentially between businesses) and process
reconfiguration. Designing systems with the in-built ability to cater for
evolution is also becoming critical to their success. To handle change, systems
need the capability to adapt as and when necessary to changes in users
requirements. Allowing systems to be self-describing is one way to facilitate
this. Using our implementation of a self-describing system, a so-called
description-driven approach, new versions of data structures or processes can
be created alongside older versions providing a log of changes to the
underlying data schema and enabling the gathering of traceable (provenance)
data. The CRISTAL software, which originated at CERN for handling physics data,
uses versions of stored descriptions to define versions of data and workflows
which can be evolved over time and thereby to handle evolving system needs. It
has been customised for use in business applications as the Agilium-NG product.
This paper reports on how the Agilium-NG software has enabled the deployment of
an unique business process management solution that can be dynamically evolved
to cater for changing user requirement.
|
cs.SE
|
business systems these days need to be agile to address the needs of a changing world business modelling requires business process management to be highly adaptable with the ability to support dynamic workflows interapplication integration potentially between businesses and process reconfiguration designing systems with the inbuilt ability to cater for evolution is also becoming critical to their success to handle change systems need the capability to adapt as and when necessary to changes in users requirements allowing systems to be selfdescribing is one way to facilitate this using our implementation of a selfdescribing system a socalled descriptiondriven approach new versions of data structures or processes can be created alongside older versions providing a log of changes to the underlying data schema and enabling the gathering of traceable provenance data the cristal software which originated at cern for handling physics data uses versions of stored descriptions to define versions of data and workflows which can be evolved over time and thereby to handle evolving system needs it has been customised for use in business applications as the agiliumng product this paper reports on how the agiliumng software has enabled the deployment of an unique business process management solution that can be dynamically evolved to cater for changing user requirement
|
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|
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|
1,803.07436
|
Ocean Eddy Identification and Tracking using Neural Networks
|
Global climate change plays an essential role in our daily life. Mesoscale
ocean eddies have a significant impact on global warming, since they affect the
ocean dynamics, the energy as well as the mass transports of ocean circulation.
From satellite altimetry we can derive high-resolution, global maps containing
ocean signals with dominating coherent eddy structures. The aim of this study
is the development and evaluation of a deep-learning based approach for the
analysis of eddies. In detail, we develop an eddy identification and tracking
framework with two different approaches that are mainly based on feature
learning with convolutional neural networks. Furthermore, state-of-the-art
image processing tools and object tracking methods are used to support the eddy
tracking. In contrast to previous methods, our framework is able to learn a
representation of the data in which eddies can be detected and tracked in more
objective and robust way. We show the detection and tracking results on sea
level anomalies (SLA) data from the area of Australia and the East Australia
current, and compare our two eddy detection and tracking approaches to identify
the most robust and objective method.
|
cs.CV
|
global climate change plays an essential role in our daily life mesoscale ocean eddies have a significant impact on global warming since they affect the ocean dynamics the energy as well as the mass transports of ocean circulation from satellite altimetry we can derive highresolution global maps containing ocean signals with dominating coherent eddy structures the aim of this study is the development and evaluation of a deeplearning based approach for the analysis of eddies in detail we develop an eddy identification and tracking framework with two different approaches that are mainly based on feature learning with convolutional neural networks furthermore stateoftheart image processing tools and object tracking methods are used to support the eddy tracking in contrast to previous methods our framework is able to learn a representation of the data in which eddies can be detected and tracked in more objective and robust way we show the detection and tracking results on sea level anomalies sla data from the area of australia and the east australia current and compare our two eddy detection and tracking approaches to identify the most robust and objective method
|
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|
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|
1,803.07437
|
Orbital dynamics in the post-Newtonian planar circular Sun-Jupiter
system
|
The theory of the post-Newtonian (PN) planar circular restricted three-body
problem is used for numerically investigating the orbital dynamics of a test
particle (e.g., a comet, asteroid, meteor or spacecraft) in the planar
Sun-Jupiter system with a scattering region around Jupiter. For determining the
orbital properties of the test particle, we classify large sets of initial
conditions of orbits for several values of the Jacobi constant in all possible
Hill region configurations. The initial conditions are classified into three
main categories: (i) bounded, (ii) escaping and (iii) collisional. Using the
smaller alignment index chaos indicator (SALI), we further classify bounded
orbits into regular, sticky or chaotic. In order to get a spherical view of the
dynamics of the system, the grids of the initial conditions of the orbits are
defined on different types of two-dimensional planes. We locate the different
types of basins and we also relate them with the corresponding spatial
distributions of the escape and collision time. Our thorough analysis exposes
the high complexity of the orbital dynamics and exhibits an appreciable
difference between the final states of the orbits in the classical and PN
approaches. Furthermore, our numerical results reveal a strong dependence of
the properties of the considered basins with the Jacobi constant, along with a
remarkable presence of fractal basin boundaries. Our outcomes are compared with
earlier ones, regarding other planetary systems.
|
astro-ph.EP
|
the theory of the postnewtonian pn planar circular restricted threebody problem is used for numerically investigating the orbital dynamics of a test particle eg a comet asteroid meteor or spacecraft in the planar sunjupiter system with a scattering region around jupiter for determining the orbital properties of the test particle we classify large sets of initial conditions of orbits for several values of the jacobi constant in all possible hill region configurations the initial conditions are classified into three main categories i bounded ii escaping and iii collisional using the smaller alignment index chaos indicator sali we further classify bounded orbits into regular sticky or chaotic in order to get a spherical view of the dynamics of the system the grids of the initial conditions of the orbits are defined on different types of twodimensional planes we locate the different types of basins and we also relate them with the corresponding spatial distributions of the escape and collision time our thorough analysis exposes the high complexity of the orbital dynamics and exhibits an appreciable difference between the final states of the orbits in the classical and pn approaches furthermore our numerical results reveal a strong dependence of the properties of the considered basins with the jacobi constant along with a remarkable presence of fractal basin boundaries our outcomes are compared with earlier ones regarding other planetary systems
|
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|
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|
1,803.07438
|
Ontology-Based Reasoning about the Trustworthiness of Cyber-Physical
Systems
|
It has been challenging for the technical and regulatory communities to
formulate requirements for trustworthiness of the cyber-physical systems (CPS)
due to the complexity of the issues associated with their design, deployment,
and operations. The US National Institute of Standards and Technology (NIST),
through a public working group, has released a CPS Framework that adopts a
broad and integrated view of CPS and positions trustworthiness among other
aspects of CPS. This paper takes the model created by the CPS Framework and its
further developments one step further, by applying ontological approaches and
reasoning techniques in order to achieve greater understanding of CPS. The
example analyzed in the paper demonstrates the enrichment of the original CPS
model obtained through ontology and reasoning and its ability to deliver
additional insights to the developers and operators of CPS.
|
cs.CR cs.AI
|
it has been challenging for the technical and regulatory communities to formulate requirements for trustworthiness of the cyberphysical systems cps due to the complexity of the issues associated with their design deployment and operations the us national institute of standards and technology nist through a public working group has released a cps framework that adopts a broad and integrated view of cps and positions trustworthiness among other aspects of cps this paper takes the model created by the cps framework and its further developments one step further by applying ontological approaches and reasoning techniques in order to achieve greater understanding of cps the example analyzed in the paper demonstrates the enrichment of the original cps model obtained through ontology and reasoning and its ability to deliver additional insights to the developers and operators of cps
|
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|
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|
1,803.07439
|
Functional renormalization-group calculation of the equation of state of
one-dimensional nuclear matter inspired by the Hohenberg--Kohn theorem
|
We present the first successful functional renormalization group(FRG)-aided
density-functional (DFT) calculation of the equation of state (EOS) of an
infinite nuclear matter (NM) in (1+1)-dimensions composed of spinless nucleons.
We give a formulation to describe infinite matters in which the 'flowing'
chemical potential is introduced to control the particle number during the
flow. The resultant saturation energy of the NM coincides with that obtained by
the Monte-Carlo method within a few percent. Our result demonstrates that the
FRG-aided DFT can be as powerful as any other methods in quantum many-body
theory.
|
nucl-th cond-mat.mes-hall cond-mat.str-el hep-th
|
we present the first successful functional renormalization groupfrgaided densityfunctional dft calculation of the equation of state eos of an infinite nuclear matter nm in 11dimensions composed of spinless nucleons we give a formulation to describe infinite matters in which the flowing chemical potential is introduced to control the particle number during the flow the resultant saturation energy of the nm coincides with that obtained by the montecarlo method within a few percent our result demonstrates that the frgaided dft can be as powerful as any other methods in quantum manybody theory
|
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|
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|
1,803.0744
|
Quantum Magnetic Properties in Perovskite with Anderson Localized
Artificial Spin-1/2
|
Quantum magnetic properties in a geometrically frustrated lattice of spin-1/2
magnet, such as quantum spin liquid or solid and the associated spin
fractionalization, are considered key in developing a new phase of matter. The
feasibility of observing the quantum magnetic properties, usually found in
geometrically frustrated lattice of spin-1/2 magnet, in a perovskite material
with controlled disorder is demonstrated. It is found that the controlled
chemical disorder, due to the chemical substitution of Ru ions by Co-ions, in a
simple perovskite CaRuO3 creates a random prototype configuration of artificial
spin-1/2 that forms dimer pairs between the nearest and further away ions. The
localization of the Co impurity in the Ru matrix is analyzed using the Anderson
localization formulation. The dimers of artificial spin-1/2, due to the
localization of Co impurities, exhibit singlet-to-triplet excitation at low
temperature without any ordered spin correlation. The localized gapped
excitation evolves into a gapless quasi-continuum as dimer pairs break and
create freely fluctuating fractionalized spins at high temperature. Together,
these properties hint at a new quantum magnetic state with strong resemblance
to the resonance valence bond system.
|
cond-mat.str-el
|
quantum magnetic properties in a geometrically frustrated lattice of spin12 magnet such as quantum spin liquid or solid and the associated spin fractionalization are considered key in developing a new phase of matter the feasibility of observing the quantum magnetic properties usually found in geometrically frustrated lattice of spin12 magnet in a perovskite material with controlled disorder is demonstrated it is found that the controlled chemical disorder due to the chemical substitution of ru ions by coions in a simple perovskite caruo3 creates a random prototype configuration of artificial spin12 that forms dimer pairs between the nearest and further away ions the localization of the co impurity in the ru matrix is analyzed using the anderson localization formulation the dimers of artificial spin12 due to the localization of co impurities exhibit singlettotriplet excitation at low temperature without any ordered spin correlation the localized gapped excitation evolves into a gapless quasicontinuum as dimer pairs break and create freely fluctuating fractionalized spins at high temperature together these properties hint at a new quantum magnetic state with strong resemblance to the resonance valence bond system
|
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|
[-0.17085114756732114, 0.2822887799139697, 0.01369431429506781, 0.03918802505806805, 0.005411238147324504, -0.21112803103412492, 0.060620191104065344, 0.39315035591249936, -0.25906883591305013, -0.25924737498184647, -0.011858246909648916, -0.33663105888415007, -0.08233608173559533, 0.11264839661844935, 0.08533302558186863, 0.007675311627930829, -0.021851260690299978, -0.004568275597693583, -0.1164010193091459, -0.1782937956695505, 0.24440270708610015, 0.03380854749939517, 0.2884127663673608, 0.0862245177645441, 0.047483165097259146, 0.022607814012719624, 0.16582709564929726, -0.0010415077365226123, -0.09791809543725781, 0.051500601951124984, 0.22983433986671145, -0.11030688362610577, 0.16351006127085413, -0.453814940772705, -0.20943194253697664, 0.01380126697144338, 0.15429985854048078, 0.17537877639080143, -0.10610368853283964, -0.3208666817223715, 0.002841019164387055, -0.16191877978393338, -0.17009128352043804, -0.10311882535269443, -0.03465505286150581, 0.005813937343031444, -0.23864991422537918, 0.08301558721155583, 0.11008829468538842, 0.1445624964538153, -0.083808443874919, -0.10383677083914486, -0.11220485227474185, 0.06328703418942067, 0.012289119118717141, 0.07061131698575772, 0.16781215053461082, -0.11478309164969967, -0.13826790807102193, 0.3809339186831654, -0.020955129699259587, -0.13202962087426376, 0.2182454343803309, -0.17052120638110643, -0.11981790950700927, 0.18776059912896337, 0.10947916395757552, 0.0670029237651481, -0.14399142088055109, 0.07060876498967895, -0.025473130529152822, 0.2044809865957167, -0.007479983629789306, 0.08944806105528887, 0.3226490642998245, 0.18055391542941004, 0.04965016765489274, 0.20748975905743275, -0.11764032569180427, -0.13648966558605105, -0.18963141428245292, -0.17998643350214338, -0.2844807780910652, 0.07728868593451577, -0.07786131199619765, -0.2256140218544985, 0.3795592638095943, 0.11661850021394728, 0.16084905397300456, -0.10558933677360643, 0.1897541572145381, 0.06387734014392513, 0.0586010815708765, 0.004581837733225017, 0.21523552273584345, 0.20323873951053759, 0.09372469740164988, -0.32677788638566097, 0.05003472331672738, 0.06254972187689618]
|
1,803.07441
|
LDOP: Local Directional Order Pattern for Robust Face Retrieval
|
The local descriptors have gained wide range of attention due to their
enhanced discriminative abilities. It has been proved that the consideration of
multi-scale local neighborhood improves the performance of the descriptor,
though at the cost of increased dimension. This paper proposes a novel method
to construct a local descriptor using multi-scale neighborhood by finding the
local directional order among the intensity values at different scales in a
particular direction. Local directional order is the multi-radius relationship
factor in a particular direction. The proposed local directional order pattern
(LDOP) for a particular pixel is computed by finding the relationship between
the center pixel and local directional order indexes. It is required to
transform the center value into the range of neighboring orders. Finally, the
histogram of LDOP is computed over whole image to construct the descriptor. In
contrast to the state-of-the-art descriptors, the dimension of the proposed
descriptor does not depend upon the number of neighbors involved to compute the
order; it only depends upon the number of directions. The introduced descriptor
is evaluated over the image retrieval framework and compared with the
state-of-the-art descriptors over challenging face databases such as PaSC, LFW,
PubFig, FERET, AR, AT&T, and ExtendedYale. The experimental results confirm the
superiority and robustness of the LDOP descriptor.
|
cs.CV
|
the local descriptors have gained wide range of attention due to their enhanced discriminative abilities it has been proved that the consideration of multiscale local neighborhood improves the performance of the descriptor though at the cost of increased dimension this paper proposes a novel method to construct a local descriptor using multiscale neighborhood by finding the local directional order among the intensity values at different scales in a particular direction local directional order is the multiradius relationship factor in a particular direction the proposed local directional order pattern ldop for a particular pixel is computed by finding the relationship between the center pixel and local directional order indexes it is required to transform the center value into the range of neighboring orders finally the histogram of ldop is computed over whole image to construct the descriptor in contrast to the stateoftheart descriptors the dimension of the proposed descriptor does not depend upon the number of neighbors involved to compute the order it only depends upon the number of directions the introduced descriptor is evaluated over the image retrieval framework and compared with the stateoftheart descriptors over challenging face databases such as pasc lfw pubfig feret ar att and extendedyale the experimental results confirm the superiority and robustness of the ldop descriptor
|
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|
[-0.06315286690814857, -0.0012336916927444307, -0.06629740279814024, -0.0034590176101684856, -0.04789109055106595, -0.07876616287931942, 0.0008130360658739528, 0.4084625089246976, -0.2831038939655184, -0.321204327439007, 0.06466985389848716, -0.2685295076333109, -0.1669120235840955, 0.1579766478166697, -0.08084888915246148, 0.07185435465613044, 0.03699748845142647, 0.08411032973084617, -0.10045965526249644, -0.28742229407786896, 0.28120551595261595, 0.07257529301624567, 0.3653777100716196, 0.048084942586096135, 0.13585636376639446, 0.005871319662641431, -0.07400434416536081, 0.05375462335547762, -0.08798705075626427, 0.18306833782130807, 0.2418958385682188, 0.11700971840778321, 0.26681651153410096, -0.35647184224398226, -0.21783998459421597, 0.12195151169343214, 0.12717849420356836, 0.06874136450704918, -0.020697121322377804, -0.31133379350064333, 0.14789509611609772, -0.14009138624602707, -0.05728291487989671, -0.10578785227382172, 0.03359404412397901, 0.014532091595125541, -0.28306418863842575, 0.06336921008869685, 0.06461400959894738, 0.05461126522263557, -0.047535208296743736, -0.11173407278807931, -0.025942839933871226, 0.1473107797870163, 0.03331652068773632, 0.06787686057569255, 0.15795831335040086, -0.1424823987807936, -0.09663427301847408, 0.38321029084721253, -0.04423555373253176, -0.19206236635165458, 0.19886211693870642, -0.11481533204673224, -0.09000167023818316, 0.13243982883874308, 0.18109232395816077, 0.13430297834816518, -0.10031620950580677, 0.06917200412748284, -0.05283044876628801, 0.18869569133989442, 0.0809472949649586, 0.047593528197623754, 0.15881326179795466, 0.1877285271947624, 0.11688693426716538, 0.1327994634100998, -0.18528443398889885, -0.09242383502958494, -0.21878431061211456, -0.12484201904314984, -0.22184095941885024, -0.09502995246011735, -0.14783625114646753, -0.11861951122033682, 0.45266678109408565, 0.1934935351628721, 0.22224934813989836, 0.048494502905373015, 0.3102689396832851, 0.08560349221584168, 0.13160420493802064, 0.05680765078122322, 0.21095371740573848, 0.057368957669848494, 0.10068804978417527, -0.21365588434646574, 0.11891832308839276, 0.12131553030189608]
|
1,803.07442
|
Mode identification in rapidly rotating stars from BRITE data
|
Apart from recent progress in Gamma Dor stars, identifying modes in rapidly
rotating stars is a formidable challenge due to the lack of simple, easily
identifiable frequency patterns. As a result, it is necessary to look to
observational methods for identifying modes. Two popular techniques are
spectroscopic mode identification based on line profile variations (LPVs) and
photometric mode identification based on amplitude ratios and phase differences
between multiple photometric bands. In this respect, the BRITE constellation is
particularly interesting as it provides space-based multi-colour photometry.
The present contribution describes the latest developments in obtaining
theoretical predictions for amplitude ratios and phase differences for
pulsation modes in rapidly rotating stars. These developments are based on full
2D non-adiabatic pulsation calculations, using models from the ESTER code, the
only code to treat in a self-consistent way the thermal equilibrium of rapidly
rotating stars. These predictions are then specifically applied to the BRITE
photometric bands to explore the prospects of identifying modes based on BRITE
observations.
|
astro-ph.SR
|
apart from recent progress in gamma dor stars identifying modes in rapidly rotating stars is a formidable challenge due to the lack of simple easily identifiable frequency patterns as a result it is necessary to look to observational methods for identifying modes two popular techniques are spectroscopic mode identification based on line profile variations lpvs and photometric mode identification based on amplitude ratios and phase differences between multiple photometric bands in this respect the brite constellation is particularly interesting as it provides spacebased multicolour photometry the present contribution describes the latest developments in obtaining theoretical predictions for amplitude ratios and phase differences for pulsation modes in rapidly rotating stars these developments are based on full 2d nonadiabatic pulsation calculations using models from the ester code the only code to treat in a selfconsistent way the thermal equilibrium of rapidly rotating stars these predictions are then specifically applied to the brite photometric bands to explore the prospects of identifying modes based on brite observations
|
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|
[-0.09882637043055033, 0.13432877720619318, -0.09706678343765392, 0.07798013267210153, -0.1447182307705466, -0.12410053875057335, 0.09360393917508011, 0.40484468360071535, -0.1938919698008182, -0.29892040308789164, 0.09822470980890644, -0.29931278908739517, -0.09855893509679593, 0.25893203590916575, -0.05271237808603942, 0.05449277951890614, 0.14840710351666425, -0.07580974335822226, -0.05025196277487886, -0.18560760821347222, 0.2616088321215353, 0.04280700296037859, 0.24275516390984742, -0.07362528160740078, -0.024335024475571385, -0.05629042120246171, -0.12764130463320877, -0.04609888647982931, -0.15803233328192534, 0.06276334896740829, 0.2864328662809201, 0.13670438898304488, 0.2036416101486542, -0.3903532692751179, -0.218375497371204, 0.026226961736687305, 0.17951389468000756, 0.1359607605777818, -0.053237614840371934, -0.25619838098806835, 0.04089256630570519, -0.12603016890316882, -0.1543108359939116, -0.08709573597030178, 0.07353713461683571, 0.01736330861465697, -0.24029579731218653, 0.06745699742534683, -0.021542556601022285, 0.12632391713319477, -0.09390594132395998, -0.13649005519420457, -0.015993828033925565, 0.11457186018293895, 0.06875314072140155, 0.06576260908341115, 0.08217529057770785, -0.1139463185264152, -0.06025216349991941, 0.400089010162039, -0.11200706145520453, -0.10716652397803414, 0.21603372848472713, -0.1394623420815458, -0.18825063745611192, 0.09678017746148619, 0.17076839253797763, 0.12451441820276661, -0.17221583282515018, 0.00518511761368418, 0.06483342577389047, 0.18607631835806543, 0.04606440808749729, 0.085320200357569, 0.3344852617953224, 0.14860278832229093, -0.03197606839810961, 0.09501788480367306, -0.21302619913558654, -0.062457105341978784, -0.23426444362599025, -0.0627225629679653, -0.10851205065610756, -0.015384609117515477, -0.053520601373926474, -0.16525021231978948, 0.422019877545307, 0.1342162621276099, 0.16239696711821744, 0.0251373849492063, 0.35093466986250704, 0.06126672728951346, 0.07038233494043258, 0.07212766471027506, 0.3210330711187726, 0.18481453027050554, 0.09274573108192785, -0.23627887118787738, 0.03961326651335151, 0.014298910595065245]
|
1,803.07443
|
Unravelling Dzyaloshinskii-Moriya interaction and chiral nature of
Graphene/Cobalt interface
|
A major challenge for future spintronics is to develop suitable spin
transport channels with long spin lifetime and propagation length. Graphene can
meet these requirements, even at room temperature. On the other side, taking
advantage of the fast motion of chiral textures, i.e., N\'eel-type domain walls
and magnetic skyrmions, can satisfy the demands for high-density data storage,
low power consumption and high processing speed. We have engineered epitaxial
structures where an epitaxial ferromagnetic Co layer is sandwiched between an
epitaxial Pt(111) buffer grown in turn onto MgO(111) substrates and a graphene
layer. We provide evidence of a graphene-induced enhancement of the
perpendicular magnetic anisotropy up to 4 nm thick Co films, and of the
existence of chiral left-handed N\'eel-type domain walls stabilized by the
effective Dzyaloshinskii-Moriya interaction (DMI) in the stack. The experiments
show evidence of a sizeable DMI at the gr/Co interface, which is described in
terms of a conduction electron mediated Rashba-DMI mechanism and points
opposite to the Spin Orbit Coupling-induced DMI at the Co/Pt interface. In
addition, the presence of graphene results in: i) a surfactant action for the
Co growth, producing an intercalated, flat, highly perfect fcc film,
pseudomorphic with Pt and ii) an efficient protection from oxidation. The
magnetic chiral texture is stable at room temperature and grown on insulating
substrate. Our findings open new routes to control chiral spin structures using
interfacial engineering in graphene-based systems for future spin-orbitronics
devices fully integrated on oxide substrates.
|
cond-mat.mtrl-sci cond-mat.mes-hall
|
a major challenge for future spintronics is to develop suitable spin transport channels with long spin lifetime and propagation length graphene can meet these requirements even at room temperature on the other side taking advantage of the fast motion of chiral textures ie neeltype domain walls and magnetic skyrmions can satisfy the demands for highdensity data storage low power consumption and high processing speed we have engineered epitaxial structures where an epitaxial ferromagnetic co layer is sandwiched between an epitaxial pt111 buffer grown in turn onto mgo111 substrates and a graphene layer we provide evidence of a grapheneinduced enhancement of the perpendicular magnetic anisotropy up to 4 nm thick co films and of the existence of chiral lefthanded neeltype domain walls stabilized by the effective dzyaloshinskiimoriya interaction dmi in the stack the experiments show evidence of a sizeable dmi at the grco interface which is described in terms of a conduction electron mediated rashbadmi mechanism and points opposite to the spin orbit couplinginduced dmi at the copt interface in addition the presence of graphene results in i a surfactant action for the co growth producing an intercalated flat highly perfect fcc film pseudomorphic with pt and ii an efficient protection from oxidation the magnetic chiral texture is stable at room temperature and grown on insulating substrate our findings open new routes to control chiral spin structures using interfacial engineering in graphenebased systems for future spinorbitronics devices fully integrated on oxide substrates
|
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|
[-0.20057007555058812, 0.19452087488634293, 0.014386338536397682, -0.055948274491148295, -0.05743986874171942, -0.16321319716526625, 0.042374897746283516, 0.46775851606597896, -0.29489474301323854, -0.2897971153671358, 0.03971945621709146, -0.28690046629923, -0.06904743132074305, 0.1819087621750053, 0.05081295008356118, 0.01404849878633122, -0.02952895180427442, -0.12563668325176622, -0.06284227759468225, -0.20252758594596112, 0.23530755040847606, 0.016507001359051747, 0.3793260788532348, 0.15388845155189967, 0.052580873917147254, -0.03583965329628703, 0.1626578836047157, -0.024951254819406812, -0.15967746403889788, 0.0886035482594003, 0.2604061439626063, -0.15264046231916012, 0.15265636957371334, -0.5525710814881867, -0.20317868524982113, -0.03927683251399438, 0.13629326363051286, 0.1582037458224534, -0.14045099432484703, -0.2675197441910226, 0.11027032988307663, -0.1304070219153024, -0.11489824449275006, -0.05956288296914422, -0.006287680212096565, -0.05766150248616887, -0.26392890320054285, 0.05133963887037604, 0.07924639095384706, 0.10128462993808746, -0.10633955919068105, -0.1290809593190708, -0.15011864613252596, 0.05640818606906232, 0.041088302483369116, 0.05840028083452636, 0.2198442474395333, -0.14235672622404713, -0.12752473845427162, 0.32970977280577296, -0.052851552104725495, -0.12261640378293508, 0.18288175328283973, -0.1327138845900134, -0.03641471115747568, 0.144376555060243, 0.16096483349505905, 0.09651539367078082, -0.13557522567320288, 0.08475454187787954, 0.0290088729921214, 0.20753623392125084, 0.10080999142887796, 0.0640101539678326, 0.3117001731305239, 0.2546770996901218, 0.07972173453988138, 0.12844901554755064, -0.12346208398425211, -0.021265655064445853, -0.19443114483573135, -0.20745977982255207, -0.19926416665358493, 0.06433434642765624, -0.11530137503135825, -0.18874527661472745, 0.3618993407240036, 0.1424646646748336, 0.14592991944472597, -0.07365144517469496, 0.2712722895218831, 0.0396304400038621, 0.09986217783873114, 0.033192187853578366, 0.2283839395106088, 0.15083758742597234, 0.15548848104370938, -0.25006290385597013, 0.10944995749254699, -0.033195818223012416]
|
1,803.07444
|
Reflected Advanced Backward Stochastic Differential Equations with
Default
|
We are interested on reflected advanced backward stochastic differential
equations (RABSDE) with default. By the predictable representation property and
for a Lipschitz driver, we show that the RABSDE with default has a unique
solution in the enlarged filtration. A comparison theorem for such type of
equations is proved. Finally, we give a connection between RABSDE and optimal
stopping.
|
math.OC
|
we are interested on reflected advanced backward stochastic differential equations rabsde with default by the predictable representation property and for a lipschitz driver we show that the rabsde with default has a unique solution in the enlarged filtration a comparison theorem for such type of equations is proved finally we give a connection between rabsde and optimal stopping
|
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|
[-0.11483528143886862, 0.04271378480540267, -0.11267240238697107, 0.10630809641965054, -0.10655612893531034, -0.15262830289530344, 0.02076248816567762, 0.39347728688655226, -0.31910206627999915, -0.19906021988597408, 0.15786750886513018, -0.26943578375182275, -0.16586633489049715, 0.1949812294594173, -0.11003136048334297, 0.0462974794690722, 0.08404160738151906, 0.04149667144720924, -0.06831004775273775, -0.16464415340331093, 0.32224190074565084, -0.018901299924091917, 0.2303196614415481, 0.0028206754861206844, 0.21034838101858722, 0.034543021956402485, -0.07055422545466893, 0.0326417561235099, -0.1728210421646634, 0.10060374630245797, 0.26516461265193103, 0.11525837022907517, 0.32271842114177757, -0.41320690682864397, -0.14096957044515374, 0.09918224994607013, 0.07323945508737936, 0.07587975281258595, -0.10284884064659026, -0.269452922913278, 0.11433044501684671, -0.14607514800696536, -0.15918932120508417, -0.046199009673477245, 0.03447792524921483, 0.09447250628827847, -0.31838934916746, 0.03478370313352006, 0.08575988159482849, 0.046952216885983944, -0.06947792397715666, -0.061367841561902954, -0.04302959433146592, 0.0408744267830304, 0.035396277282290674, -0.005212930151550421, 0.05254569703488257, -0.08355701837592341, -0.14240908663888494, 0.30773793140040906, -0.11967282087626417, -0.2595716292873539, 0.14264362466778477, -0.11272256994009788, -0.13135063329486754, 0.10980368286756606, 0.12097236578320635, 0.11685701045368252, -0.14321348674852272, 0.09836516452045983, -0.055302515706240105, 0.10633233247389054, 0.09167042878006809, 0.02984631273510127, 0.08655052697928302, 0.17523663230882636, 0.15329129090291801, 0.12220969593858924, 0.005319588002748787, -0.12343885489450447, -0.3235350211857465, -0.18513873294959293, -0.06665107611052949, 0.09994477089815612, -0.11526320313438693, -0.1477175317383532, 0.3379604768907202, 0.1180273900370531, 0.14337730722437644, 0.1066428741664979, 0.21820845583389545, 0.21936416354608432, -0.021821784032187586, 0.0825241239147325, 0.1870818387973925, 0.11752555867283733, 0.11673987644788777, -0.1633312272325415, 0.1472362293259658, 0.13230694864137932]
|
1,803.07445
|
MLtuner: System Support for Automatic Machine Learning Tuning
|
MLtuner automatically tunes settings for training tunables (such as the
learning rate, the momentum, the mini-batch size, and the data staleness bound)
that have a significant impact on large-scale machine learning (ML)
performance. Traditionally, these tunables are set manually, which is
unsurprisingly error-prone and difficult to do without extensive domain
knowledge. MLtuner uses efficient snapshotting, branching, and
optimization-guided online trial-and-error to find good initial settings as
well as to re-tune settings during execution. Experiments show that MLtuner can
robustly find and re-tune tunable settings for a variety of ML applications,
including image classification (for 3 models and 2 datasets), video
classification, and matrix factorization. Compared to state-of-the-art ML
auto-tuning approaches, MLtuner is more robust for large problems and over an
order of magnitude faster.
|
cs.LG stat.ML
|
mltuner automatically tunes settings for training tunables such as the learning rate the momentum the minibatch size and the data staleness bound that have a significant impact on largescale machine learning ml performance traditionally these tunables are set manually which is unsurprisingly errorprone and difficult to do without extensive domain knowledge mltuner uses efficient snapshotting branching and optimizationguided online trialanderror to find good initial settings as well as to retune settings during execution experiments show that mltuner can robustly find and retune tunable settings for a variety of ml applications including image classification for 3 models and 2 datasets video classification and matrix factorization compared to stateoftheart ml autotuning approaches mltuner is more robust for large problems and over an order of magnitude faster
|
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|
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|
1,803.07446
|
Thermal corrections to the Casimir energy in a Lorentz-breaking scalar
field theory
|
In this paper, we investigate the thermal effect on the Casimir energy
associated with a massive scalar quantum field confined between two large
parallel plates in a CPT-even, aether-like Lorentz-breaking scalar field
theory. In order to do that we consider a nonzero chemical potential for the
scalar field assumed to be in thermal equilibrium at some finite temperature.
The calculations of the energies are developed by using the Abel-Plana
summation formula, and the corresponding results are analyzed in several
asymptotic regimes of the parameters of the system, like mass, separations
between the plates and temperature.
|
hep-th gr-qc
|
in this paper we investigate the thermal effect on the casimir energy associated with a massive scalar quantum field confined between two large parallel plates in a cpteven aetherlike lorentzbreaking scalar field theory in order to do that we consider a nonzero chemical potential for the scalar field assumed to be in thermal equilibrium at some finite temperature the calculations of the energies are developed by using the abelplana summation formula and the corresponding results are analyzed in several asymptotic regimes of the parameters of the system like mass separations between the plates and temperature
|
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|
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|
1,803.07447
|
All-optical nonequilibrium pathway to stabilizing magnetic Weyl
semimetals in pyrochlore iridates
|
Nonequilibrium many-body dynamics is becoming one of the central topics of
modern condensed matter physics. Floquet topological states were suggested to
emerge in photodressed band structures in the presence of periodic laser
driving. Here we propose a viable nonequilibrium route without requiring
coherent Floquet states to reach the elusive magnetic Weyl semimetallic phase
in pyrochlore iridates by ultrafast modification of the effective
electron-electron interaction with short laser pulses. Combining \textit{ab
initio} calculations for a time-dependent self-consistent reduced Hubbard $U$
controlled by laser intensity and nonequilibrium magnetism simulations for
quantum quenches, we find dynamically modified magnetic order giving rise to
transiently emerging Weyl cones that are probed by time- and angle-resolved
photoemission spectroscopy. Our work offers a unique and realistic pathway for
nonequilibrium materials engineering beyond Floquet physics to create and
sustain Weyl semimetals. This may lead to ultrafast, tens-of-femtoseconds
switching protocols for light-engineered Berry curvature in combination with
ultrafast magnetism.
|
cond-mat.str-el cond-mat.mtrl-sci physics.optics
|
nonequilibrium manybody dynamics is becoming one of the central topics of modern condensed matter physics floquet topological states were suggested to emerge in photodressed band structures in the presence of periodic laser driving here we propose a viable nonequilibrium route without requiring coherent floquet states to reach the elusive magnetic weyl semimetallic phase in pyrochlore iridates by ultrafast modification of the effective electronelectron interaction with short laser pulses combining textitab initio calculations for a timedependent selfconsistent reduced hubbard u controlled by laser intensity and nonequilibrium magnetism simulations for quantum quenches we find dynamically modified magnetic order giving rise to transiently emerging weyl cones that are probed by time and angleresolved photoemission spectroscopy our work offers a unique and realistic pathway for nonequilibrium materials engineering beyond floquet physics to create and sustain weyl semimetals this may lead to ultrafast tensoffemtoseconds switching protocols for lightengineered berry curvature in combination with ultrafast magnetism
|
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|
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|
1,803.07448
|
Dependence of Lyubeznik numbers of cones of projective schemes on
projective embeddings
|
We construct complex projective schemes with Lyubeznik numbers of their cones
depending on the choices of projective embeddings. This answers a question of
G. Lyubeznik in the characteristic 0 case. It contrasts with a theorem of W.
Zhang in the positive characteristic case where the Frobenius endomorphism is
used. Reducibility of schemes is essential in our argument. B. Wang recently
constructed examples of irreducible projective schemes (which are not normal)
from our examples of reducible ones. So the question is still open in the
normal singular case.
|
math.AG
|
we construct complex projective schemes with lyubeznik numbers of their cones depending on the choices of projective embeddings this answers a question of g lyubeznik in the characteristic 0 case it contrasts with a theorem of w zhang in the positive characteristic case where the frobenius endomorphism is used reducibility of schemes is essential in our argument b wang recently constructed examples of irreducible projective schemes which are not normal from our examples of reducible ones so the question is still open in the normal singular case
|
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|
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|
1,803.07449
|
Nonlinear dynamics and fluctuations in biological systems (Habilitation
thesis)
|
The present habilitation thesis in theoretical biological physics addresses
two central dynamical processes in cells and organisms: (i) active motility and
motility control and (ii) self-organized pattern formation. The unifying theme
is the nonlinear dynamics of biological function and its robustness in the
presence of strong fluctuations, structural variations, and external
perturbations. We theoretically investigate motility control at the cellular
scale, using cilia and flagella as ideal model system. Cilia and flagella are
highly conserved slender cell appendages that exhibit spontaneous bending
waves. This flagellar beat represents a prime example of a chemo-mechanical
oscillator, which is driven by the collective dynamics of molecular motors
inside the flagellar axoneme. We study the nonlinear dynamics of flagellar
swimming, steering, and synchronization, which encompasses shape control of the
flagellar beat by chemical signals and mechanical forces. Mechanical forces can
synchronize collections of flagella to beat at a common frequency, despite
active motor noise that tends to randomize flagellar synchrony. In Chapter 2,
we present a new physical mechanism for flagellar synchronization by mechanical
self-stabilization that applies to free-swimming flagellated cells. This new
mechanism is independent of direct hydrodynamic interactions between flagella.
Comparison with experimental data provided by experimental collaboration
partners in the laboratory of J. Howard (Yale, New Haven) confirmed our new
mechanism in the model organism of the unicellular green alga Chlamydomonas.
Further, we characterize the beating flagellum as a noisy oscillator. Using a
minimal model of collective motor dynamics, we argue that measured
non-equilibrium fluctuations of the flagellar beat result from stochastic motor
dynamics at the molecular scale. Noise and mechanical coupling are antagonists
...
|
q-bio.CB physics.bio-ph
|
the present habilitation thesis in theoretical biological physics addresses two central dynamical processes in cells and organisms i active motility and motility control and ii selforganized pattern formation the unifying theme is the nonlinear dynamics of biological function and its robustness in the presence of strong fluctuations structural variations and external perturbations we theoretically investigate motility control at the cellular scale using cilia and flagella as ideal model system cilia and flagella are highly conserved slender cell appendages that exhibit spontaneous bending waves this flagellar beat represents a prime example of a chemomechanical oscillator which is driven by the collective dynamics of molecular motors inside the flagellar axoneme we study the nonlinear dynamics of flagellar swimming steering and synchronization which encompasses shape control of the flagellar beat by chemical signals and mechanical forces mechanical forces can synchronize collections of flagella to beat at a common frequency despite active motor noise that tends to randomize flagellar synchrony in chapter 2 we present a new physical mechanism for flagellar synchronization by mechanical selfstabilization that applies to freeswimming flagellated cells this new mechanism is independent of direct hydrodynamic interactions between flagella comparison with experimental data provided by experimental collaboration partners in the laboratory of j howard yale new haven confirmed our new mechanism in the model organism of the unicellular green alga chlamydomonas further we characterize the beating flagellum as a noisy oscillator using a minimal model of collective motor dynamics we argue that measured nonequilibrium fluctuations of the flagellar beat result from stochastic motor dynamics at the molecular scale noise and mechanical coupling are antagonists
|
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|
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|
1,803.0745
|
Total Equitable List Coloring
|
An equitable coloring is a proper coloring of a graph such that the sizes of
the color classes differ by at most one. A graph $G$ is equitably $k$-colorable
if there exists an equitable coloring of $G$ which uses $k$ colors, each one
appearing on either $\lfloor |V(G)|/k \rfloor$ or $\lceil |V(G)|/k \rceil$
vertices of $G$. In 1994, Fu conjectured that for any simple graph $G$, the
total graph of $G$, $T(G)$, is equitably $k$-colorable whenever $k \geq
\max\{\chi(T(G)), \Delta(G)+2\}$ where $\chi(T(G))$ is the chromatic number of
the total graph of $G$ and $\Delta(G)$ is the maximum degree of $G$. We
investigate the list coloring analogue. List coloring requires each vertex $v$
to be colored from a specified list $L(v)$ of colors. A graph is $k$-choosable
if it has a proper list coloring whenever vertices have lists of size $k$. A
graph is equitably $k$-choosable if it has a proper list coloring whenever
vertices have lists of size $k$, where each color is used on at most $\lceil
|V(G)|/k \rceil$ vertices. In the spirit of Fu's conjecture, we conjecture that
for any simple graph $G$, $T(G)$ is equitably $k$-choosable whenever $k \geq
\max\{\chi_l(T(G)), \Delta(G)+2\}$ where $\chi_l(T(G))$ is the list chromatic
number of $T(G)$. We prove this conjecture for all graphs satisfying $\Delta(G)
\leq 2$ while also studying the related question of the equitable choosability
of powers of paths and cycles.
|
math.CO
|
an equitable coloring is a proper coloring of a graph such that the sizes of the color classes differ by at most one a graph g is equitably kcolorable if there exists an equitable coloring of g which uses k colors each one appearing on either lfloor vgk rfloor or lceil vgk rceil vertices of g in 1994 fu conjectured that for any simple graph g the total graph of g tg is equitably kcolorable whenever k geq maxchitg deltag2 where chitg is the chromatic number of the total graph of g and deltag is the maximum degree of g we investigate the list coloring analogue list coloring requires each vertex v to be colored from a specified list lv of colors a graph is kchoosable if it has a proper list coloring whenever vertices have lists of size k a graph is equitably kchoosable if it has a proper list coloring whenever vertices have lists of size k where each color is used on at most lceil vgk rceil vertices in the spirit of fus conjecture we conjecture that for any simple graph g tg is equitably kchoosable whenever k geq maxchi_ltg deltag2 where chi_ltg is the list chromatic number of tg we prove this conjecture for all graphs satisfying deltag leq 2 while also studying the related question of the equitable choosability of powers of paths and cycles
|
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|
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|
1,803.07451
|
On the automorphy of 2-dimensional potentially semi-stable deformation
rings of $G_{\mathbb{Q}_p}$
|
Using $p$-adic local Langlands correspondence for
$\operatorname{GL}_2(\mathbb{Q}_p)$, we prove that the support of patched
modules constructed by Caraiani, Emerton, Gee, Geraghty, Paskunas, and Shin
meet every irreducible component of the potentially semistable deformation
ring. This gives a new proof of the Breuil-M\'ezard conjecture for
2-dimensional representations of the absolute Galois group of $\mathbb{Q}_p$
when $p > 2$, which is new in the case $p = 3$ and $\bar{r}$ a twist of an
extension of the trivial character by the mod p cyclotomic character. As a
consequence, a local restriction in the proof of Fontaine-Mazur conjecture by
Kisin is removed.
|
math.NT
|
using padic local langlands correspondence for operatornamegl_2mathbbq_p we prove that the support of patched modules constructed by caraiani emerton gee geraghty paskunas and shin meet every irreducible component of the potentially semistable deformation ring this gives a new proof of the breuilmezard conjecture for 2dimensional representations of the absolute galois group of mathbbq_p when p 2 which is new in the case p 3 and barr a twist of an extension of the trivial character by the mod p cyclotomic character as a consequence a local restriction in the proof of fontainemazur conjecture by kisin is removed
|
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|
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|
1,803.07452
|
Semi-Blind Spatially-Variant Deconvolution in Optical Microscopy with
Local Point Spread Function Estimation By Use Of Convolutional Neural
Networks
|
We present a semi-blind, spatially-variant deconvolution technique aimed at
optical microscopy that combines a local estimation step of the point spread
function (PSF) and deconvolution using a spatially variant, regularized
Richardson-Lucy algorithm. To find the local PSF map in a computationally
tractable way, we train a convolutional neural network to perform regression of
an optical parametric model on synthetically blurred image patches. We
deconvolved both synthetic and experimentally-acquired data, and achieved an
improvement of image SNR of 1.00 dB on average, compared to other deconvolution
algorithms.
|
cs.CV cs.LG
|
we present a semiblind spatiallyvariant deconvolution technique aimed at optical microscopy that combines a local estimation step of the point spread function psf and deconvolution using a spatially variant regularized richardsonlucy algorithm to find the local psf map in a computationally tractable way we train a convolutional neural network to perform regression of an optical parametric model on synthetically blurred image patches we deconvolved both synthetic and experimentallyacquired data and achieved an improvement of image snr of 100 db on average compared to other deconvolution algorithms
|
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|
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|
1,803.07453
|
Spin-orbital tidal dynamics and tidal heating in the TRAPPIST-1
multi-planet system
|
We perform numerical simulations of the TRAPPIST-1 system of seven exoplanets
orbiting a nearby M dwarf, starting with a previously suggested stable
configuration. The long-term stability of this configuration is confirmed, but
the motion of planets is found to be chaotic. The eccentricity values are found
to vary within finite ranges. The rates of tidal dissipation and tidal
evolution of orbits are estimated, assuming an Earth-like rheology for the
planets. We find that under this assumption the planets b, d, e were captured
in the 3:2 or higher spin-orbit resonances during the initial spin-down but
slipped further down into the 1:1 resonance. Dependent on its rheology, the
innermost planet b may be captured in a stable pseudosynchronous rotation.
Non-synchronous rotation ensures higher levels of tidal dissipation and
internal heating. The positive feedback between the viscosity and the
dissipation rate -- and the ensuing runaway heating -- are terminated by a few
self-regulation processes. When the temperature is high and the viscosity is
low enough, the planet spontaneously leaves the 3:2 resonance. Further heating
is stopped either by passing the peak dissipation or by the emergence of
partial melt in the mantle. In the post-solidus state, the tidal dissipation is
limited to the levels supported by the heat transfer efficiency. The tides on
the host star are unlikely to have had a significant dynamical impact. The
tides on the synchronized inner planets tend to reduce these planets' orbital
eccentricity, possibly contributing thereby to the system's stability.
|
astro-ph.EP
|
we perform numerical simulations of the trappist1 system of seven exoplanets orbiting a nearby m dwarf starting with a previously suggested stable configuration the longterm stability of this configuration is confirmed but the motion of planets is found to be chaotic the eccentricity values are found to vary within finite ranges the rates of tidal dissipation and tidal evolution of orbits are estimated assuming an earthlike rheology for the planets we find that under this assumption the planets b d e were captured in the 32 or higher spinorbit resonances during the initial spindown but slipped further down into the 11 resonance dependent on its rheology the innermost planet b may be captured in a stable pseudosynchronous rotation nonsynchronous rotation ensures higher levels of tidal dissipation and internal heating the positive feedback between the viscosity and the dissipation rate and the ensuing runaway heating are terminated by a few selfregulation processes when the temperature is high and the viscosity is low enough the planet spontaneously leaves the 32 resonance further heating is stopped either by passing the peak dissipation or by the emergence of partial melt in the mantle in the postsolidus state the tidal dissipation is limited to the levels supported by the heat transfer efficiency the tides on the host star are unlikely to have had a significant dynamical impact the tides on the synchronized inner planets tend to reduce these planets orbital eccentricity possibly contributing thereby to the systems stability
|
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|
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|
1,803.07454
|
Pervasive and weakly pervasive pre-Riesz spaces
|
Pervasive pre-Riesz spaces are defined by means of vector lattice covers. To
avoid the computation of a vector lattice cover, we give two distinct intrinsic
characterizations of pervasive pre-Riesz spaces. We introduce weakly pervasive
pre-Riesz spaces and observe that this property can be easily checked in
examples. We relate weakly pervasive pre-Riesz spaces to pre-Riesz spaces with
the Riesz decomposition property.
|
math.FA
|
pervasive preriesz spaces are defined by means of vector lattice covers to avoid the computation of a vector lattice cover we give two distinct intrinsic characterizations of pervasive preriesz spaces we introduce weakly pervasive preriesz spaces and observe that this property can be easily checked in examples we relate weakly pervasive preriesz spaces to preriesz spaces with the riesz decomposition property
|
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|
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|
1,803.07455
|
On the Alon-Tarsi Number and Chromatic-choosability of Cartesian
Products of Graphs
|
We study the list chromatic number of Cartesian products of graphs through
the Alon-Tarsi number as defined by Jensen and Toft (1995) in their seminal
book on graph coloring problems. The Alon-Tarsi number of $G$, $AT(G)$, is the
smallest $k$ for which there is an orientation, $D$, of $G$ with max indegree
$k\!-\!1$ such that the number of even and odd circulations contained in $D$
are different. It is known that $\chi(G) \leq \chi_\ell(G) \leq \chi_p(G) \leq
AT(G)$, where $\chi(G)$ is the chromatic number, $\chi_\ell(G)$ is the list
chromatic number, and $\chi_p(G)$ is the paint number of $G$. In this paper we
find families of graphs $G$ and $H$ such that $\chi(G \square H) = AT(G \square
H)$, reducing this sequence of inequalities to equality. We show that the
Alon-Tarsi number of the Cartesian product of an odd cycle and a path is always
equal to 3. This result is then extended to show that if $G$ is an odd cycle or
a complete graph and $H$ is a graph on at least two vertices containing the
Hamilton path $w_1, w_2, \ldots, w_n$ such that for each $i$, $w_i$ has a most
$k$ neighbors among $w_1, w_2, \ldots, w_{i-1}$, then $AT(G \square H) \leq
\Delta(G)+k$ where $\Delta(G)$ is the maximum degree of $G$. We discuss other
extensions for $G \square H$, where $G$ is such that $V(G)$ can be partitioned
into odd cycles and complete graphs, and $H$ is a graph containing a
Hamiltonian path. We apply these bounds to get chromatic-choosable Cartesian
products, in fact we show that these families of graphs have $\chi(G) = AT(G)$,
improving previously known bounds.
|
math.CO
|
we study the list chromatic number of cartesian products of graphs through the alontarsi number as defined by jensen and toft 1995 in their seminal book on graph coloring problems the alontarsi number of g atg is the smallest k for which there is an orientation d of g with max indegree k1 such that the number of even and odd circulations contained in d are different it is known that chig leq chi_ellg leq chi_pg leq atg where chig is the chromatic number chi_ellg is the list chromatic number and chi_pg is the paint number of g in this paper we find families of graphs g and h such that chig square h atg square h reducing this sequence of inequalities to equality we show that the alontarsi number of the cartesian product of an odd cycle and a path is always equal to 3 this result is then extended to show that if g is an odd cycle or a complete graph and h is a graph on at least two vertices containing the hamilton path w_1 w_2 ldots w_n such that for each i w_i has a most k neighbors among w_1 w_2 ldots w_i1 then atg square h leq deltagk where deltag is the maximum degree of g we discuss other extensions for g square h where g is such that vg can be partitioned into odd cycles and complete graphs and h is a graph containing a hamiltonian path we apply these bounds to get chromaticchoosable cartesian products in fact we show that these families of graphs have chig atg improving previously known bounds
|
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|
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|
1,803.07456
|
Generalized loading-unloading contact laws for elasto-plastic spheres
with bonding strength
|
We present generalized loading-unloading contact laws for elasto-plastic
spheres with bonding strength. The proposed mechanistic contact laws are
continuous at the onset of unloading by means of a regularization term, in the
spirit of a cohesive zone model, that introduces a small and controllable error
in the conditions for interparticle breakage. This continuity property is in
sharp contrast with the behavior of standard mechanistic loading and unloading
contact theories, which exhibit a discontinuity at the onset of unloading when
particles form solid bridges during plastic deformation. The formulation
depends on five material properties, namely two elastic properties (Young's
modulus and Poisson's ratio), two plastic properties (a plastic stiffness and a
power-law hardening exponent) and one fracture mechanics property (fracture
toughness), and its predictions are in agreement with detailed finite-element
simulations. The numerical robustness and efficiency of the proposed
formulation are borne out by performing three-dimensional particle mechanics
static calculations of microstructure evolution during the three most important
steps of powder die-compaction, namely during compaction, unloading, and
ejection. These simulations reveal the evolution, up to relative densities
close to one, of microstructural features, process variables and compact
mechanical attributes which are quantitatively similar to those experimentally
observed and in remarkable agreement with the (semi-)empirical formulae
reported in the literature.
|
cond-mat.soft cond-mat.mtrl-sci physics.comp-ph
|
we present generalized loadingunloading contact laws for elastoplastic spheres with bonding strength the proposed mechanistic contact laws are continuous at the onset of unloading by means of a regularization term in the spirit of a cohesive zone model that introduces a small and controllable error in the conditions for interparticle breakage this continuity property is in sharp contrast with the behavior of standard mechanistic loading and unloading contact theories which exhibit a discontinuity at the onset of unloading when particles form solid bridges during plastic deformation the formulation depends on five material properties namely two elastic properties youngs modulus and poissons ratio two plastic properties a plastic stiffness and a powerlaw hardening exponent and one fracture mechanics property fracture toughness and its predictions are in agreement with detailed finiteelement simulations the numerical robustness and efficiency of the proposed formulation are borne out by performing threedimensional particle mechanics static calculations of microstructure evolution during the three most important steps of powder diecompaction namely during compaction unloading and ejection these simulations reveal the evolution up to relative densities close to one of microstructural features process variables and compact mechanical attributes which are quantitatively similar to those experimentally observed and in remarkable agreement with the semiempirical formulae reported in the literature
|
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|
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|
1,803.07457
|
Divisibility problems for function fields
|
We investigate three combinatorial problems considered by Erd\"os, Rivat,
Sark\"ozy and Sch\"on regarding divisibility properties of sum sets and sets of
shifted products of integers in the context of function fields. Our results in
this function field setting are better than those previously obtained for
subsets of the integers. These improvements depend on a version of the large
sieve for sparse sets of moduli developed recently by the first and third-named
authors.
|
math.NT math.CO
|
we investigate three combinatorial problems considered by erdos rivat sarkozy and schon regarding divisibility properties of sum sets and sets of shifted products of integers in the context of function fields our results in this function field setting are better than those previously obtained for subsets of the integers these improvements depend on a version of the large sieve for sparse sets of moduli developed recently by the first and thirdnamed authors
|
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|
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|
1,803.07458
|
A fast method to identify mean motion resonances
|
The identification of mean motion resonances in exoplanetary systems or in
the Solar System might be cumbersome when several planets and large number of
smaller bodies are to be considered. Based on the geometrical meaning of the
resonance variable, an efficient method is introduced and described here, by
which mean motion resonances can be easily find without any a priori knowledge
on them. The efficiency of this method is clearly demonstrated by using known
exoplanets engaged in mean motion resonances, and also some members of
different families of asteroids and Kuiper-belt objects being in mean motion
resonances with Jupiter and Neptune respectively.
|
astro-ph.EP
|
the identification of mean motion resonances in exoplanetary systems or in the solar system might be cumbersome when several planets and large number of smaller bodies are to be considered based on the geometrical meaning of the resonance variable an efficient method is introduced and described here by which mean motion resonances can be easily find without any a priori knowledge on them the efficiency of this method is clearly demonstrated by using known exoplanets engaged in mean motion resonances and also some members of different families of asteroids and kuiperbelt objects being in mean motion resonances with jupiter and neptune respectively
|
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|
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|
1,803.07459
|
Prethermalization to thermalization crossover in a dilute Bose gas
following an interaction ramp
|
The dynamics of a weakly interacting Bose gas at low temperatures is close to
integrable due to the approximate quadratic nature of the many-body
Hamiltonian. While the short-time physics after an abrupt ramp of the
interaction constant is dominated by the integrable dynamics, integrability is
broken at longer times by higher-order interaction terms in the Bogoliubov
Hamiltonian, in particular by Beliaev-Landau scatterings involving three
quasiparticles. The two-stage relaxation process is highlighted in the
evolution of local observables such as the density-density correlation
function: a dephasing mechanism leads the system to a prethermal stage,
followed by true thermalization conveyed by quasiparticle collisions. Our
results bring the crossover from prethermalization to thermalization within
reach of current experiments with ultracold atomic gases.
|
cond-mat.quant-gas
|
the dynamics of a weakly interacting bose gas at low temperatures is close to integrable due to the approximate quadratic nature of the manybody hamiltonian while the shorttime physics after an abrupt ramp of the interaction constant is dominated by the integrable dynamics integrability is broken at longer times by higherorder interaction terms in the bogoliubov hamiltonian in particular by beliaevlandau scatterings involving three quasiparticles the twostage relaxation process is highlighted in the evolution of local observables such as the densitydensity correlation function a dephasing mechanism leads the system to a prethermal stage followed by true thermalization conveyed by quasiparticle collisions our results bring the crossover from prethermalization to thermalization within reach of current experiments with ultracold atomic gases
|
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|
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|
1,803.0746
|
Hyperbolic Equivariants of Rational Maps
|
Let $K$ denote either $\mathbb{R}$ or $\mathbb{C}$. In this article, we
introduce two new equivariants associated to a rational map $f\in K(z)$. These
objects naturally live on a real hyperbolic space, and carry information about
the action of $f$ on $\mathbb{P}^1(K)$. When $K=\mathbb{C}$ we relate the
asymptotic behavior of these equivariants to the conformal barycenter of the
measure of maximal entropy. We also give a complete description of these
objects for rational maps of degree $d=1$. The constructions in this article
are based on work of Rumely in the context of rational maps over
non-Archimedean fields; similarities between the two theories are highlighted
throughout the article.
|
math.DS math.NT
|
let k denote either mathbbr or mathbbc in this article we introduce two new equivariants associated to a rational map fin kz these objects naturally live on a real hyperbolic space and carry information about the action of f on mathbbp1k when kmathbbc we relate the asymptotic behavior of these equivariants to the conformal barycenter of the measure of maximal entropy we also give a complete description of these objects for rational maps of degree d1 the constructions in this article are based on work of rumely in the context of rational maps over nonarchimedean fields similarities between the two theories are highlighted throughout the article
|
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|
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|
1,803.07461
|
Speech-Driven Facial Reenactment Using Conditional Generative
Adversarial Networks
|
We present a novel approach to generating photo-realistic images of a face
with accurate lip sync, given an audio input. By using a recurrent neural
network, we achieved mouth landmarks based on audio features. We exploited the
power of conditional generative adversarial networks to produce
highly-realistic face conditioned on a set of landmarks. These two networks
together are capable of producing a sequence of natural faces in sync with an
input audio track.
|
cs.CV
|
we present a novel approach to generating photorealistic images of a face with accurate lip sync given an audio input by using a recurrent neural network we achieved mouth landmarks based on audio features we exploited the power of conditional generative adversarial networks to produce highlyrealistic face conditioned on a set of landmarks these two networks together are capable of producing a sequence of natural faces in sync with an input audio track
|
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|
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|
1,803.07462
|
Dark Matter and The Seesaw Scale
|
We discuss the possibility to find an upper bound on the seesaw scale using
the cosmological bound on the cold dark matter relic density. We investigate a
simple relation between the origin of neutrino masses and the properties of a
dark matter candidate in a simple theory where the new symmetry breaking scale
defines the seesaw scale. Imposing the cosmological bounds, we find an upper
bound of order multi-TeV on the lepton number violation scale. We investigate
the predictions for direct and indirect detection dark matter experiments, and
the possible signatures at the Large Hadron Collider.
|
hep-ph hep-ex
|
we discuss the possibility to find an upper bound on the seesaw scale using the cosmological bound on the cold dark matter relic density we investigate a simple relation between the origin of neutrino masses and the properties of a dark matter candidate in a simple theory where the new symmetry breaking scale defines the seesaw scale imposing the cosmological bounds we find an upper bound of order multitev on the lepton number violation scale we investigate the predictions for direct and indirect detection dark matter experiments and the possible signatures at the large hadron collider
|
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|
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|
1,803.07463
|
Contextuality and the fundamental theorem of noncommutative algebra
|
In the paper it is shown that the Kochen-Specker theorem follows from
Burnside's theorem on noncommutative algebras. Accordingly, contextuality (as
an impossibility of assigning binary values to projection operators
independently of their contexts) is merely an inference from Burnside's
fundamental theorem of the algebra of linear transformations on a Hilbert space
of finite dimension.
|
quant-ph
|
in the paper it is shown that the kochenspecker theorem follows from burnsides theorem on noncommutative algebras accordingly contextuality as an impossibility of assigning binary values to projection operators independently of their contexts is merely an inference from burnsides fundamental theorem of the algebra of linear transformations on a hilbert space of finite dimension
|
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|
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|
1,803.07464
|
VQA-E: Explaining, Elaborating, and Enhancing Your Answers for Visual
Questions
|
Most existing works in visual question answering (VQA) are dedicated to
improving the accuracy of predicted answers, while disregarding the
explanations. We argue that the explanation for an answer is of the same or
even more importance compared with the answer itself, since it makes the
question and answering process more understandable and traceable. To this end,
we propose a new task of VQA-E (VQA with Explanation), where the computational
models are required to generate an explanation with the predicted answer. We
first construct a new dataset, and then frame the VQA-E problem in a multi-task
learning architecture. Our VQA-E dataset is automatically derived from the VQA
v2 dataset by intelligently exploiting the available captions. We have
conducted a user study to validate the quality of explanations synthesized by
our method. We quantitatively show that the additional supervision from
explanations can not only produce insightful textual sentences to justify the
answers, but also improve the performance of answer prediction. Our model
outperforms the state-of-the-art methods by a clear margin on the VQA v2
dataset.
|
cs.CV
|
most existing works in visual question answering vqa are dedicated to improving the accuracy of predicted answers while disregarding the explanations we argue that the explanation for an answer is of the same or even more importance compared with the answer itself since it makes the question and answering process more understandable and traceable to this end we propose a new task of vqae vqa with explanation where the computational models are required to generate an explanation with the predicted answer we first construct a new dataset and then frame the vqae problem in a multitask learning architecture our vqae dataset is automatically derived from the vqa v2 dataset by intelligently exploiting the available captions we have conducted a user study to validate the quality of explanations synthesized by our method we quantitatively show that the additional supervision from explanations can not only produce insightful textual sentences to justify the answers but also improve the performance of answer prediction our model outperforms the stateoftheart methods by a clear margin on the vqa v2 dataset
|
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|
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|
1,803.07465
|
A modification of the CSP algorithm for infinite languages
|
Constraint Satisfaction Problem on finite sets is known to be NP-complete in
general but certain restrictions on the constraint language can ensure
tractability. It was proved that if a constraint language has a weak near
unanimity polymorphism then the corresponding constraint satisfaction problem
is tractable, otherwise it is NP-complete. In the paper we present a
modification of the algorithm that works in polynomial time even for infinite
constraint languages.
|
cs.CC
|
constraint satisfaction problem on finite sets is known to be npcomplete in general but certain restrictions on the constraint language can ensure tractability it was proved that if a constraint language has a weak near unanimity polymorphism then the corresponding constraint satisfaction problem is tractable otherwise it is npcomplete in the paper we present a modification of the algorithm that works in polynomial time even for infinite constraint languages
|
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|
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|
1,803.07466
|
Mapping the material in the LHCb vertex locator using secondary hadronic
interactions
|
Precise knowledge of the location of the material in the LHCb vertex locator
(VELO) is essential to reducing background in searches for long-lived exotic
particles, and in identifying jets that originate from beauty and charm quarks.
Secondary interactions of hadrons produced in beam-gas collisions are used to
map the location of material in the VELO. Using this material map, along with
properties of a reconstructed secondary vertex and its constituent tracks, a
$p$-value can be assigned to the hypothesis that the secondary vertex
originates from a material interaction. A validation of this procedure is
presented using photon conversions to dimuons.
|
physics.ins-det hep-ex
|
precise knowledge of the location of the material in the lhcb vertex locator velo is essential to reducing background in searches for longlived exotic particles and in identifying jets that originate from beauty and charm quarks secondary interactions of hadrons produced in beamgas collisions are used to map the location of material in the velo using this material map along with properties of a reconstructed secondary vertex and its constituent tracks a pvalue can be assigned to the hypothesis that the secondary vertex originates from a material interaction a validation of this procedure is presented using photon conversions to dimuons
|
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|
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