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the intermolecular interactions in the title compound are investigated using self - consistent charge density functional based tight binding molecular dynamics. emphasis is put on the analysis of correlated motions of ion pairs using ideas of network theory. at equilibrium such correlations are not very pronounced on a...
arxiv:1603.05985
space - time wave packets are diffraction - free, dispersion - free pulsed beams whose propagation - invariance stems from correlations introduced into their spatio - temporal spectrum. we demonstrate here experimentally and computationally that space - time light sheets exhibit self - healing properties upon traversin...
arxiv:1812.10567
we investigate the fundamental concept of a closed quantum subgroup of a locally compact quantum group. two definitions - one due to s. vaes and one due to s. l. woronowicz - are analyzed and relations between them discussed. among many reformulations we prove that the former definition can be phrased in terms of quasi...
arxiv:1203.5063
the re - ranking approach leverages high - confidence retrieved samples to refine retrieval results, which have been widely adopted as a post - processing tool for image retrieval tasks. however, we notice one main flaw of re - ranking, i. e., high computational complexity, which leads to an unaffordable time cost for ...
arxiv:2012.07620
in the present manuscript, we employ the feynman path integral method to derive the propagator in one - dimensional wigner - dunkl quantum mechanics. to verify our findings we calculate the propagator associated with the free particle and the harmonic oscillator in the presence of the dunkl derivative. we also deduce t...
arxiv:2407.12644
velocity - squared drag forces are common in describing an object moving through a granular material. the resulting force law is a nonlinear differential equation, and closed - form solutions of the dynamics are typically obtained by making simplifying assumptions. here, we consider a generalized version of such a forc...
arxiv:1210.6692
at the nucleus of a superconducting vortex is a small, circular region where superconductivity is destroyed. like an atomic nucleus, this core may become deformed, and such distortions can have important consequences in non - equilibrium situations. using ginzburg - landau theory, we have investigated this phenomenon f...
arxiv:cond-mat/0111502
we compare axial charges of excited nucleons, as predicted by the chiral symmetry restoration picture, with the traditional, moderately successful for the ground - state baryons su ( 6 ) symmetry. the axial charges of excited nucleons can ( and will ) be measured in lattice qcd simulations, and comparison of the lattic...
arxiv:0801.4343
we describe a notion of ampleness for line bundles on orbifolds with cyclic quotient singularities that is related to embeddings in weighted projective space, and prove a global asymptotic expansion for a weighted bergman kernel associated to such a line bundle.
arxiv:0907.5215
we explore the relationship between the nonlinear matter power spectrum and the various lagrangian and standard perturbation theories ( lpt and spt ). we first look at it in the context of one dimensional ( 1 - d ) dynamics, where 1lpt is exact at the perturbative level and one can exactly resum the spt series into the...
arxiv:1509.02120
the definition of an innovative therapeutic protocol requires the fine tuning of all the involved operations in order to maximize the efficiency. in some cases, the price of the experiments, or their duration, represents a great obstacle and the full potential of the protocol risks to be reduced or even hidden by a non...
arxiv:1907.11055
we firstly report mode - locked square - wave pulse in yb - doped fiber laser based on graded index multimode fiber of reverse suturable absorption. by adjusting the pump power, the width of the square - wave can be tuned range from 350 ps to 52. 6 ns with 3db bandwidth spectrum of 0. 73 nm. the supermode suppression r...
arxiv:1904.06706
numerical software is usually shipped with built - in hyperparameters. by carefully tuning those hyperparameters, significant performance enhancements can be achieved for specific applications. we developed mindopt tuner, a new automatic tuning tool that supports a wide range of numerical software, including optimizati...
arxiv:2307.08085
it was discovered by gordon in 1977 that keplerian ellipses in the plane are minimizers of the lagrangian action and spectrally stable as periodic points of the associated hamiltonian flow. the aim of this paper is to give a homotopy theoretical proof of these results through a self - contained, explicit and simple com...
arxiv:1908.00075
the effects of magnetic fields on big bang nucleosynthesis ( bbn ) have been calculated, and the impact on the abundances of the light elements have been investigated numerically. an upper limit on the strength of primordial magnetic fields compatible with observations of light element abundances has been thus obtained...
arxiv:astro-ph/9308041
in this paper, we define and study the new problem simultaneous pq - ordering. its input consists of a set of pq - trees, which represent sets of circular orders of their leaves, together with a set of child - parent relations between these pq - trees, such that the leaves of the child form a subset of the leaves of th...
arxiv:1112.0245
an x - ray interferometer ( xri ) has recently been proposed as a theme for esa ' s voyage 2050 planning cycle, with the eventual goal to observe the x - ray sky with an unprecedented angular resolution better than 1 micro arcsec ( 5 prad ) [ 1 ]. a scientifically very interesting mission is possible on the basis of a ...
arxiv:2107.07857
sparse inverse covariance selection is a fundamental problem for analyzing dependencies in high dimensional data. however, such a problem is difficult to solve since it is np - hard. existing solutions are primarily based on convex approximation and iterative hard thresholding, which only lead to sub - optimal solution...
arxiv:1711.07038
few - shot segmentation of point cloud remains a challenging task, as there is no effective way to convert local point cloud information to global representation, which hinders the generalization ability of point features. in this study, we propose a bidirectional feature globalization ( bfg ) approach, which leverages...
arxiv:2208.06671
spiking neural networks combine analog computation with event - based communication using discrete spikes. while the impressive advances of deep learning are enabled by training non - spiking artificial neural networks using the backpropagation algorithm, applying this algorithm to spiking networks was previously hinde...
arxiv:2009.08378
we study evolutionary canalization using a spin - glass model with replica theory, where spins and their interactions are dynamic variables whose configurations correspond to phenotypes and genotypes, respectively. the spins are updated under temperature t _ s, and the genotypes evolve under temperature t _ j, accordin...
arxiv:1111.5770
we consider the problem of the evolution of a code within a structured population of agents. the agents try to maximise their information about their environment by acquiring information from the outputs of other agents in the population. a naive use of information - theoretic methods would assume that every agent know...
arxiv:1505.04142
two novel decoupling and matching networks ( dmns ) in microstrip technology for three - element uniform circular arrays ( ucas ) are investigated and compared to a more conventional dmn approach with simple neutralization lines. the array elements are coaxially - fed quarter - wavelength monopole antennas over a finit...
arxiv:2105.09333
we study the radio - far - infrared ( fir ) correlation in a sample of faint dwarf irregular galaxies using nvss data for 1. 4 ghz radio flux, spitzer mips 70 um data for fir flux, and galex fuv data to estimate the star formation rates ( sfr ). since our target galaxies are extremely faint, we stack images of many gal...
arxiv:1204.3305
we show how localization and smoothing techniques can be used to establish universality in the bulk of the spectrum for a fixed positive measure mu on [ - 1, 1 ]. assume that mu is a regular measure, and is absolutely continuous in an open interval containing some closed subinterval j of ( - 1, 1 ). assume that in j, t...
arxiv:math/0701307
let $ m $ and $ n $ be two positive integers such that $ m < n $. let $ q _ { n - m + 1 } $ be the symplectic quasi - projective space of rank $ n - m + 1 $. in this article, we will study the order of the samelson product $ s ^ { 4m - 1 } \ wedge q _ { n - m + 1 } \ rightarrow sp ( n ) $.
arxiv:2305.11447
closed timelike curves are among the most controversial features of modern physics. as legitimate solutions to einstein ' s field equations, they allow for time travel, which instinctively seems paradoxical. however, in the quantum regime these paradoxes can be resolved leaving closed timelike curves consistent with re...
arxiv:1501.05014
we show that all nontrivial members of the kinoshita - terasaka and conway knot families satisfy the purely cosmetic surgery conjecture.
arxiv:2009.00522
in this paper, we apply the generalized integration constants method in field theory to quantize maxwell and the klein - gordon free fields. the study is performed in both position and momentum spaces, to obtain equal - time dirac brackets among the fields and their conjugate momenta. the idea is to obtain the brackets...
arxiv:2304.02018
we extend the relativistic mean - field models with hadron masses and meson - baryon coupling constants dependent on the scalar $ \ sigma $ field, studied previously to incorporate $ \ delta ( 1232 ) $ baryons. available empirical information is analyzed to put constraints on the couplings of $ \ delta $ s with meson f...
arxiv:1610.09746
kinetic alfven wave turbulence in solar wind is considered and it is shown that non - maxwellian electron distribution function has a significant effect on the dynamics of the solar wind plasmas. linear landau damping leads to the formation of a plateau in the parallel electron distribution function which diminishes th...
arxiv:1008.0993
stochastic reaction network models are widely utilized in biology and chemistry to describe the probabilistic dynamics of biochemical systems in general, and gene interaction networks in particular. most often, statistical analysis and inference of these systems is addressed by parametric approaches, where the laws gov...
arxiv:1710.06259
by using the free field worldsheet realization described by gaberdiel and gopakumar recently, we construct the nontrivial lowest generators of the higher spin superalgebra $ hs ( 2, 2 | 4 ) $. they consist of cubic terms between the bilinears of ambitwistor - like fields. we also obtain the worldsheet description for t...
arxiv:2109.09260
nomad camels ( short : camels ) is a configurable, open - source measurement software that records fully self - describing experimental data. it has its origins in the field of experimental physics where a wide variety of measurement instruments are used in frequently changing experimental setups and measurement protoc...
arxiv:2402.07548
analytical formulae for the points and weights of two fifth - order quadrature rules for c _ 3, the 3 - cube, are given. the rules, originally formulated by a. h. stroud in 1967, are discussed in greater detail in terms of both the setup of the basic equations and the method of obtaining their solutions analytically. t...
arxiv:0909.5106
we investigate the relationship between the black hole accretion rate ( bhar ) and star - formation rate ( sfr ) for milky way ( mw ) and andromeda ( m31 ) - mass progenitors from z = 0. 2 - 2. 5. we source galaxies from the ks - band selected zfourge survey, which includes multi - wavelenth data spanning 0. 3 - 160um....
arxiv:1710.04225
in this paper, we apply a blow - up method of schoen and yau in \ cite { sy81 } to study a large class of prescribed mean curvature ( pmc ) dirichlet problems in $ n ( n \ geq 2 ) $ - dimensional riemannian manifolds. in this process we establish curvature estimates for almost minimizing pmc hypersurfaces, using an app...
arxiv:2208.07213
we prove the full range of estimates for a five - linear singular integral of brascamp - lieb type. the study is methodology - oriented with the goal to develop a sufficiently general technique to estimate singular integral variants of brascamp - lieb inequalities that do not obey h \ " older scaling. the invented meth...
arxiv:2001.09064
we investigate the effects of a nearby free surface on the stability of a flexible plate in axial flow. confinement by rigid boundaries is known to affect flag flutter thresholds and fluttering dynamics significantly, and this work considers the effects of a more general confinement involving a deformable free surface....
arxiv:2005.08667
we consider supergravity configuration of d5 branes wrapped on supersymmetric 2 - cycles and use it to calculate one - point and two - point green functions of some special operators in n = 2 super yang - mills theory. we show that green functions obtained from supergravity include two very different parts. one of them...
arxiv:hep-th/0207145
the distributed optimization problem is set up in a collection of nodes interconnected via a communication network. the goal is to find the minimizer of a global objective function formed by the addition of partial functions locally known at each node. a number of methods are available for addressing this problem, havi...
arxiv:2102.08726
arising from the interplay between charge, spin and orbital of electrons, spin - orbit torque ( sot ) has attracted immense interest in the past decade. despite vast progress, the existing quantification methods of sot still have their respective restrictions on the magnetic anisotropy, the entanglement between sot eff...
arxiv:1909.09012
we have learned recently that the inner halo of the milky way contains a kinematically coherent component ( gaia - enceladus ) from a significant merger 10 gyrs ago. by contrast the inner halo ( defined to exclude the magellanic stream ) contains no similar intruder stellar population of billion year age. the tracer we...
arxiv:1903.05296
we introduce the notion of ricci - corrected differentiation in parabolic geometry, which is a modification of covariant differentiation with better transformation properties. this enables us to simplify the explicit formulae for standard invariant operators given in work of cap, slovak and soucek, and at the same time...
arxiv:math/0310311
let $ { f } _ { n } $ be the farey sequence of order $ n $. for $ s \ subseteq { f } _ n $ we let $ \ mathcal { q } ( s ) = \ left \ { x / y : x, y \ in s, x \ le y \, \, \ textrm { and } \, \, y \ neq 0 \ right \ } $. we show that if $ \ mathcal { q } ( s ) \ subseteq f _ n $, then $ | s | \ leq n + 1 $. moreover, we ...
arxiv:2005.04429
based on dispersion theory, we present a formalism for a model - independent evaluation of the hadronic light - by - light contribution to the anomalous magnetic moment of the muon. in particular, we comment on the definition of the pion pole in this framework and provide a master formula that relates the effect from p...
arxiv:1402.7081
in this paper we consider vacuum kasner spacetimes, focusing on those that can be parametrized as linear perturbations of the special petrov type d case. for these quasi - d kasner models we first investigate the modification to the principal null directions, then a teukolsky master equation for fields of any spin, con...
arxiv:gr-qc/0404075
we introduce and analyze a model that sheds light on the interplay between correlated insulating states, superconductivity, and flavor - symmetry breaking in magic angle twisted bilayer graphene. using a variational mean - field theory, we determine the normal - state phase diagram of our model as a function of the ban...
arxiv:2107.08486
according to a standard view, quantum mechanics ( qm ) is a contextual theory and quantum probability does not satisfy kolmogorov ' s axioms. we show, by considering the macroscopic contexts associated with measurement procedures and the microscopic contexts ( mu - contexts ) underlying them, that one can interpret qua...
arxiv:1806.09125
most thermal infrared ( tir ) tracking methods are discriminative, treating the tracking problem as a classification task. however, the objective of the classifier ( label prediction ) is not coupled to the objective of the tracker ( location estimation ). the classification task focuses on the between - class differen...
arxiv:1711.09539
maxi j1421 - 613 is an x - ray burster discovered by monitor of all - sky x - ray image ( maxi ) on 9 january 2014 and is considered to be a low - mass x - ray binary. a previous study analyzing follow - up observation data obtained by suzaku on 31 january to 3 february 2014 reported that an annular emission of ~ 3 ' -...
arxiv:2209.07755
extremely large - scale massive multiple - input multiple - output ( mimo ) has shown considerable potential in future mobile communications. however, the use of extremely large aperture arrays has led to near - field and spatial non - stationary channel conditions, which result in changes to transceiver design and cha...
arxiv:1910.05432
let $ x _ 1, x _ 2, \ ldots, x _ n $ be chosen independently and uniformly at random from the unit $ d $ - dimensional cube $ [ 0, 1 ] ^ d $. let $ r $ be given and let $ \ cal x = \ { x _ 1, x _ 2, \ ldots, x _ n \ } $. the random geometric graph $ g = g _ { \ cal x, r } $ has vertex set $ \ cal x $ and an edge $ x _ ...
arxiv:2003.02998
in this paper, we consider the semi - classical setting constructed on nilpotent graded lie groups by means of representation theory. we analyze the effects of the pull - back by diffeomorphisms on pseudodifferential operators. we restrict to diffeomorphisms that preserve the filtration and prove that they are pansu di...
arxiv:2112.11509
we describe calabi - yau objects in the regular block of the ( parabolic ) bgg category $ \ mathcal { o } $ associated to a semi - simple finite dimensional complex lie algebra. each such object comes with a natural transformation from the serre functor to a shifted identity whose evaluation at that object is an isomor...
arxiv:2403.05258
we report a novel bell - state synthesizer in which an interferometric entanglement concentration scheme is used. an initially mixed polarization state from type - ii spontaneous parametric down - conversion becomes entangled after the interferometric entanglement concentrator. this bell - state synthesizer is universa...
arxiv:quant-ph/0209041
we report on the discovery of a new correlation between global parameters of the hot interstellar gas in elliptical galaxies. we reanalyze archival chandra data for 30 normal early - type systems, removing the contributions of resolved and unresolved point sources to reveal the x - ray morphology of the hot gas. we det...
arxiv:astro-ph/0509599
federated learning ( fl ) typically aggregates client model parameters using a weighting approach determined by sample proportions. however, this naive weighting method may lead to unfairness and degradation in model performance due to statistical heterogeneity and the inclusion of noisy data among clients. theoretical...
arxiv:2311.05936
the mean - square relative displacements ( msrd ) of atomic pair motions in crystals are studied as a function of pair distance and temperature using the atomic pair distribution function ( pdf ). the effects of the lattice vibrations on the pdf peak widths are modelled using both a multi - parameter born von - karman ...
arxiv:cond-mat/0209603
we propose the hamiltonian model of $ { \ cal n } = 8 $ supersymmetric mechanics on $ n - $ dimensional special k \ " ahler manifolds ( of the rigid type ).
arxiv:hep-th/0410029
we consider the main factors which cause the variation of the value of the local slope of the elastic pp cross section b ( t ) = d [ \ ln ( d \ sigma _ el ( pp ) / dt ] / dt with t. namely, we discuss the role of the pion - loop insertion in the pomeron trajectory, the t - dependence of the pomeron - nucleon coupling a...
arxiv:1410.0508
noisy labels, which are common in real - world datasets, can significantly impair the training of deep learning models. however, recent adversarial noise - combating methods overlook the long - tailed distribution of real data, which can significantly harm the effect of denoising strategies. meanwhile, the mismanagemen...
arxiv:2408.03977
in this work, the cpt - violating ( cptv ) interactions on neutrons ' gravitational bound state are studied. with simple analytical solutions, we provide a preliminary investigation on the lorentz - violation ( lv ) induced spin precession due to the $ \ vec { \ sigma } \ cdot \ vec { \ tilde { b } } ( 1 + gz ) $ and $...
arxiv:1906.00146
we show that for any locally compact second countable group $ g $ and any continuous positive definite function $ \ phi : g \ rightarrow \ mathbb { c } $, there exists an ergodic measure preserving system $ ( x, \ mathscr { b }, \ mu, \ { t _ g \ } _ { g \ in g } ) $ and a function $ f \ in l ^ 2 ( x, \ mu ) $ for whic...
arxiv:2310.19386
transformer has been widely - used in many natural language processing ( nlp ) tasks and the scaled dot - product attention between tokens is a core module of transformer. this attention is a token - wise design and its complexity is quadratic to the length of sequence, limiting its application potential for long seque...
arxiv:2008.01547
for a finite abelian group $ g $ and a positive integer $ h $, the unrestricted ( resp. ~ restricted ) $ h $ - critical number $ \ chi ( g, h ) $ ( resp. ~ $ \ chi \ hat { \ ; } ( g, h ) $ ) of $ g $ is defined to be the minimum value of $ m $, if exists, for which the $ h $ - fold unrestricted ( resp. ~ restricted ) s...
arxiv:1412.4058
neutron reflectometry is a powerful tool used for studies of surfaces and interfaces. in general the absorption in the typical studied materials can be neglected and this technique is limited to the measurement of the reflectivity only. in the case of strongly absorbing nuclei the number of neutrons is not conserved an...
arxiv:1510.01085
mechanical engineering is the study of physical machines and mechanisms that may involve force and movement. it is an engineering branch that combines engineering physics and mathematics principles with materials science, to design, analyze, manufacture, and maintain mechanical systems. it is one of the oldest and broa...
https://en.wikipedia.org/wiki/Mechanical_engineering
the problem of diffraction of an electromagnetic plane wave by a perfectly conducting circular disk and its complementary problem, diffraction by a circular hole in an infinite conducting plate, are rigorously solved using the method of the kobayashi potential. the mathematical formulation involved dual integral equati...
arxiv:1004.5365
federated learning ( fl ) has emerged as an effective learning paradigm for distributed computation owing to its strong potential in capturing underlying data statistics while preserving data privacy. however, in cases of practical data heterogeneity among fl clients, existing fl frameworks still exhibit deficiency in ...
arxiv:2305.11437
we consider the sample of weakly active galaxies situated in ' local universe ' collected in the paper of pellegrini ( 2005 ) with inferred accretion efficiencies from $ 10 ^ { - 2 } $ to $ 10 ^ { - 7 } $. we apply a model of spherically symmetrical bondi accretion for given parameters ( $ m _ { bh } $, $ t _ { \ infty...
arxiv:astro-ph/0512527
we investigate the homology of a congruence subgroup gamma of sl _ 3 ( z ) with coefficients in the steinberg modules st ( q ^ 3 ) and st ( e ^ 3 ), where e is a real quadratic field and the coefficients are q. by borel - serre duality, h _ 0 ( gamma, st ( q ^ 3 ) ) is isomorphic to h ^ 3 ( gamma, q ). taking the image...
arxiv:2107.10918
we perform the first simultaneous extraction of unpolarized parton distributions and fragmentation functions from a monte carlo analysis of inclusive and semi - inclusive deep - inelastic scattering, drell - yan lepton - pair production, and single - inclusive $ e ^ + e ^ - $ annihilation data. we use data resampling t...
arxiv:1905.03788
we study the avalanche statistics observed in a minimal random growth model. the growth is governed by a reproduction rate obeying a probability distribution with finite mean a and variance va. these two control parameters determine if the avalanche size tends to a stationary distribution, ( finite scale statistics wit...
arxiv:2107.08002
the differential structure of operator bases used in various forms of the weyl - wigner - groenewold - moyal ( wwgm ) quantization is analyzed and a derivative - based approach, alternative to the conventional integral - based one is developed. thus the fundamental quantum relations follow in a simpler and unified mann...
arxiv:quant-ph/9707040
we discuss the bose - fermi equivalence in the quantum brownian motion ( qbm ) on a triangular lattice, mapping the action for the qbm into a string theory action with a periodic boundary tachyon potential. we construct new klein factors which are more appropriate than the conventional ones to deal with the quantum fie...
arxiv:1508.01649
frequency estimation is a fundamental problem in many areas. the well - known a & m and its variant estimators have established an estimation framework by iteratively interpolating the discrete fourier transform ( dft ) coefficients. in general, those estimators require two dft interpolations per iteration, have uneven...
arxiv:2105.13567
maximum likelihood constraint inference is a powerful technique for identifying unmodeled constraints that affect the behavior of a demonstrator acting under a known objective function. however, it was originally formulated only for discrete state - action spaces. continuous dynamics are more useful for modeling many r...
arxiv:2109.04874
this note contains some observations on abelian convexity theorems. convexity along an orbit is established in a very general setting using kempf - ness functions. this is applied to give short proofs of the atiyah - guillemin - sternberg theorem and of abelian convexity for the gradient map in the case of a real analy...
arxiv:1801.01778
we implement a double - pixel, compressive sensing camera to efficiently characterize, at high resolution, the spatially entangled fields produced by spontaneous parametric downconversion. this technique leverages sparsity in spatial correlations between entangled photons to improve acquisition times over raster - scan...
arxiv:1212.5530
we present the first semi - streaming ptas for the minimum feedback arc set problem on directed tournaments in a small number of passes. namely, we obtain a $ ( 1 + \ varepsilon ) $ - approximation in polynomial time $ o \ left ( \ text { poly } ( n ) 2 ^ { \ text { poly } ( 1 / \ varepsilon ) } \ right ) $, with $ p $...
arxiv:2107.07141
a subset $ a $ of an additive abelian group is an $ h $ - sidon set if every element in the $ h $ - fold sumset $ ha $ has a unique representation as the sum of $ h $ not necessarily distinct elements of $ a $. let $ \ mathbf { f } $ be a field of characteristic 0 with a nontrivial absolute value, and let $ a = \ { a _...
arxiv:1707.04522
we report the electronic structure of ybb6, a recently predicted moderately correlated topological insulator, measured by angle - resolved photoemission spectroscopy. we directly observed linearly dispersive bands around the time - reversal invariant momenta { \ gamma } and x with negligible kz dependence, consistent w...
arxiv:1404.6217
in this work we study the electronic structure and magnetism of a tio2 film grown on another non - magnetic oxide such as a laalo3 ( 001 ) substrate, concentrating on the role played by structural relaxation and oxygen vacancies. using density functional theory ab - initio methods, we study the free - standing anatase ...
arxiv:0811.2172
we study a non - linear modification to general relativity in which the standard einstein - hilbert action is replaced by a born - infeld type action. also study us stability issues to judge about viability of this modification. we establish the conditions that this modification must satisfy for to avoid the problems a...
arxiv:1209.6559
the aim of this paper is to present a unified theory of many kato type representation theorems in terms of solvable forms on hilbert spaces. in particular, for some sesquilinear forms $ \ omega $ on a dense domain $ \ mathcal { d } $ one looks for an expression $ $ \ omega ( \ xi, \ eta ) = \ langle t \ xi, \ eta \ ran...
arxiv:1710.09911
we consider a classical spin model, of two - dimensional spins, with continuous symmetry, and investigate the effect of a symmetry breaking unidirectional quenched disorder on the magnetization of the system. we work in the mean field regime. we show, by numerical simulations and by perturbative calculations in the low...
arxiv:0712.0829
we study the problem of measuring errors in non - trace - preserving quantum operations, with a focus on their impact on quantum computing. we propose an error metric that efficiently provides an upper bound on the trace distance between the normalized output states from imperfect and ideal operations, while remaining ...
arxiv:2110.02290
alignment with human preference prevents large language models ( llms ) from generating misleading or toxic content while requiring high - cost human feedback. assuming resources of human annotation are limited, there are two different ways of allocating considered : more diverse prompts or more diverse responses to be...
arxiv:2403.11124
the intersection of electronic topology and strong correlations offers a rich platform to discover exotic quantum phases of matter and unusual materials. an overarching challenge that impedes the discovery is how to diagnose topology in strongly correlated settings, as exemplified by mott insulators. here, we develop a...
arxiv:2311.12031
we prove that the image of the lifted period map on the universal cover lies in a complex euclidean space. we also prove that the teichm \ " uller spaces of a class of polarized manifolds have complex affine structures.
arxiv:1910.06767
resolution of cosmological singularities is an important problem in any full theory of quantum gravity. the milne orbifold is a cosmology with a big - bang / big - crunch singularity, but being a quotient of flat space it holds potential for resolution in string theory. it is known however, that some perturbative strin...
arxiv:1311.7315
we consider the problem of securely and robustly embedding covert messages into an image - based diffusion model ' s output. the sender and receiver want to exchange the maximum amount of information possible per diffusion sampled image while remaining undetected. the adversary wants to detect that such communication i...
arxiv:2503.10063
this paper addresses the challenge of decentralized task allocation within heterogeneous multi - agent systems operating under communication constraints. we introduce a novel framework that integrates graph neural networks ( gnns ) with a centralized training and decentralized execution ( ctde ) paradigm, further enhan...
arxiv:2502.02311
we study a family of reachability problems under waiting - time restrictions in temporal and vertex - colored temporal graphs. given a temporal graph and a set of source vertices, we find the set of vertices that are reachable from a source via a time - respecting path, where the difference in timestamps between consec...
arxiv:2010.08423
the cusp anomalous dimension is a ubiquitous quantity in four - dimensional gauge theories, ranging from qcd to maximally supersymmetric n = 4 yang - mills theory, and it is one of the best investigated observables in the ads / cft correspondence. in planar n = 4 sym theory, its perturbative expansion at weak coupling ...
arxiv:0901.4945
let $ q $ be a pisot or salem number. let $ f _ j ( x ) $ $ ( j = 1, 2, \ dots ) $ be integer - valued polynomials of degree $ \ ge2 $ with positive leading coefficients, and let $ \ { a _ j ( n ) \ } _ { n \ ge1 } $ $ ( j = 1, 2, \ dots ) $ be sequences of algebraic integers in the field $ \ mathbb { q } ( q ) $ with ...
arxiv:2412.04801
each round in differential private stochastic gradient descent ( dpsgd ) transmits a sum of clipped gradients obfuscated with gaussian noise to a central server which uses this to update a global model which often represents a deep neural network. since the clipped gradients are computed separately, which we call indiv...
arxiv:2307.11939
clustering is a well - known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. constrained clustering is a semi - supervised extension to this process that can be used when expert knowledge is available to indicate constraints that can be e...
arxiv:2303.00522
this paper describes the espnet unsupervised asr open - source toolkit ( euro ), an end - to - end open - source toolkit for unsupervised automatic speech recognition ( uasr ). euro adopts the state - of - the - art uasr learning method introduced by the wav2vec - u, originally implemented at fairseq, which leverages s...
arxiv:2211.17196