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multimodal video sentiment analysis aims to integrate multiple modal information to analyze the opinions and attitudes of speakers. most previous work focuses on exploring the semantic interactions of intra - and inter - modality. however, these works ignore the reliability of multimodality, i. e., modalities tend to c...
arxiv:2404.08923
this paper concerns the problem of classifying finite - dimensional real solvable lie algebras whose derived algebras are of codimension 1 or 2. on the one hand, we present an effective method to classify all $ ( n + 1 ) $ - dimensional real solvable lie algebras having 1 - codimensional derived algebras provided that ...
arxiv:2003.04652
we investigate nuclear spin - lattice relaxation data in the normal state of optimally doped ybacuo _ 7 by analyzing the contributions to the relaxation rate of the copper, planar oxygen and yttrium along the directions perpendicular to the applied field. in this new picture there is no contrasting temperature dependen...
arxiv:cond-mat/0502075
online continual learning ( ocl ) models continuously adapt to nonstationary data streams, usually without task information. these settings are complex and many traditional cl methods fail, while online methods ( mainly replay - based ) suffer from instabilities after the task shift. to address this issue, we formalize...
arxiv:2502.01866
we propose several two higgs doublet models with the addition of an abelian gauge group which free the usual framework from flavor changing neutral interactions and explain neutrino masses through the seesaw mechanism. we discuss the kinetic and mass - mixing gripping phenomenology which encompass several constraints c...
arxiv:1705.05388
materials combining topologically non - trivial behavior and superconductivity offer a potential route for quantum computation. however, the set of available materials intrinsically realizing these properties are scarce. recently, surface superconductivity has been reported in ptbi $ _ 2 $ in its trigonal phase and an ...
arxiv:2407.15790
random walks on bounded degree expander graphs have numerous applications, both in theoretical and practical computational problems. a key property of these walks is that they converge rapidly to their stationary distribution. in this work we { \ em define high order random walks } : these are generalizations of random...
arxiv:1604.02947
in recent years, the field of document understanding has progressed a lot. a significant part of this progress has been possible thanks to the use of language models pretrained on large amounts of documents. however, pretraining corpora used in the domain of document understanding are single domain, monolingual, or non...
arxiv:2304.14953
spray cooling a hot target is characterized by strong heat flux density and fast change of the temperature of the wall interface. the heat flux density during spray cooling is determined by the instantaneous substrate temperature, which is illustrated by boiling curves. the variation of the heat flux density is especia...
arxiv:1908.02837
standard cell - free ( cf ) multiple - input - multiple - output ( mmimo ) systems is a promising technology to cover the demands for higher data rates in fifth - generation ( 5g ) networks and beyond. these systems assume a large number of distributed access points ( aps ) using joint coherent transmission to communic...
arxiv:2108.12642
reconfigurable intelligent surfaces ( riss ) hold great potential as one of the key technological enablers for beyond - 5g wireless networks, improving localization and communication performance under line - of - sight ( los ) blockage conditions. however, hardware imperfections might cause ris elements to become fault...
arxiv:2302.04436
we prove that any coadjoint orbit with real eigenvalues of a complex semisimple lie group, equipped with the real part of the canonical holomorphic symplectic form, is symplectomorphic to the cotangent bundle of a ( partial ) flag manifold. moreover, we generalize this result to hyperbolic orbits in a real semisimple l...
arxiv:0810.3816
let $ g $ be a simple graph on $ n $ vertices. let $ h $ be either the complete graph $ k _ m $ or the complete bipartite graph $ k _ { r, s } $ on a subset of the vertices in $ g $. we show that $ g $ contains $ h $ as a subgraph if and only if $ \ beta _ { i, \ alpha } ( h ) \ le \ beta _ { i, \ alpha } ( g ) $ for a...
arxiv:1510.04463
employing a largely unbiased variational exact diagonalization technique, we analyze the consequences of longer - ranged electron hopping and electron - phonon interaction on polaron formation in one dimension. having at our disposal the accurate ground state energy and wavefunction, we calculate and discuss various ph...
arxiv:2311.12677
we introduce a class of monotone $ \ sigma $ - complete effect algebras, called representable, which are $ \ sigma $ - homomorphic images of a class of monotone $ \ sigma $ - complete effect algebras of functions taking values in the interval $ [ 0, 1 ] $ and with pointwise defined effect algebra operations. we exhibit...
arxiv:1311.3221
given a motivic spectrum $ k $ over a smooth proper scheme which is dualizable over an open subscheme, we define its quadratic artin conductor under some assumptions, and prove a formula relating the quadratic euler characteristic of $ k $, the rank of $ k $ and the quadratic artin conductor. as a consequence, we obtai...
arxiv:2211.10985
we present a novel application of partial convolutional neural networks ( pcnn ) that can inpaint masked images of the cosmic microwave background. the network can reconstruct both the maps and the power spectra to a few percent for circular and irregularly shaped masks covering up to ~ 10 % of the image area. by perfo...
arxiv:2011.01433
we introduce the so - called bishop - phelps - bollob \ ' as property for positive functionals, a particular case of the bishop - phelps - bollob \ ' as property for positive operators. first we show a version of the bishop - phelps - bollob \ ' as theorem for positive elements and positive functionals in the dual of a...
arxiv:2106.05935
in this paper, we consider two - dimensional n = ( 4, 4 ) supersymmetric yang - mills ( sym ) theory and deform it by a mass parameter m with keeping all supercharges. we further add another mass parameter m in a manner to respect two of the eight supercharges and put the deformed theory on a two - dimensional square l...
arxiv:1109.6807
bioinformatics encompass storing, analyzing and interpreting the biological data. most of the challenges for machine learning methods like cellular automata is to furnish the functional information with the corresponding biological sequences. in eukaryotes dna is divided into introns and exons. the introns will be remo...
arxiv:1404.6020
in this work we take a category theoretic perspective on the relationship between probabilistic modeling and function approximation. we begin by defining two extensions of function composition to stochastic process subordination : one based on the co - kleisli category under the comonad ( omega x - ) and one based on t...
arxiv:2005.04735
we consider the most general kaluza - klein ( kk ) compactification on $ s ^ 1 / \ mathbb { z } _ 2 $ of a five dimensional ( $ 5d $ ) graviton - dilaton system, with a non - vanishing dilaton background varying linearly along the fifth dimension. we show that this background produces a higgs mechanism for the kk vecto...
arxiv:2106.15184
thanks to the advent of sensitive and broad bandwidth instrumentation, complex organic molecules ( coms ) have been found in a wide variety of interstellar environments, not only in our galaxy but also in external galaxies up to a redshift of 0. 89. the detection of coms in cold environments such as starless or prestel...
arxiv:2503.17104
we present a tensor network especially suited for multi - orbital anderson impurity models and as an impurity solver for multi - orbital dynamical mean - field theory ( dmft ). the solver works directly on the real - frequency axis and yields very high spectral resolution at all frequencies. we use a large number $ \ l...
arxiv:1612.05587
microwave detectors based on the spin - transfer torque diode effect are among the key emerging spintronic devices. by utilizing the spin of electrons in addition to charge, they have the potential to overcome the theoretical performance limits of their semiconductor ( schottky ) counterparts, which cannot operate at l...
arxiv:1410.4958
this thesis describes the basic framework and applications of a relativistic ray - tracing code for analyzing accretion processes around kerr black holes. we begin in chapter 1 with a brief historical summary of the major advances in black hole astrophysics over the past few decades. in chapter 2 we present a detailed ...
arxiv:astro-ph/0601406
let f _ { n + m } be the free group of rank n + m, with generators x _ 1,..., x _ { n + m }. an automorphism \ phi of f _ { n + m } is called partially symmetric if for each 1 \ le i \ le m, \ phi ( x _ i ) is conjugate to x _ j or x _ j ^ { - 1 } for some 1 \ le j \ le m. let \ sigma \ aut _ n ^ m be the group of part...
arxiv:1203.4845
( abridged ) avocado aims at establishing firm conclusions on the formation and evolution of dwarf galaxies by constructing and analysing a homogeneous, multiwavelength dataset for a statistically significant sample of approximately 6500 nearby dwarfs ( m _ i > - 18 mag ). we present the sample selection criteria and d...
arxiv:1301.5320
we study the dynamical evolution of globular clusters using our h \ ' enon - type monte carlo code for stellar dynamics including all relevant physics such as two - body relaxation, single and binary stellar evolution, galactic tidal stripping, and strong interactions such as physical collisions and binary mediated sca...
arxiv:1207.3063
the influence of turbulent effects on a fluid flow through a ( pseudo ) porous media is studied by numerically solving the set of reynolds - averaged navier - stokes equations with the $ \ kappa $ - $ \ epsilon $ model for turbulence. the spatial domains are two - dimensional rectangular grids with different { \ it por...
arxiv:cond-mat/0102238
correct risk estimation of policyholders is of great significance to auto insurance companies. while the current tools used in this field have been proven in practice to be quite efficient and beneficial, we argue that there is still a lot of room for development and improvement in the auto insurance risk estimation pr...
arxiv:2212.09385
the well - known braess paradox in congestion games states that adding an additional road to a transportation network may increase the total travel time, and consequently decrease the overall efficiency. motivated by this, this paper presents a paradox in a similar spirit emerging from another distributed resource allo...
arxiv:1802.03669
superconducting nanowires are widely used as sensitive single photon detectors with wide spectral coverage and high timing resolution. we describe a demonstration of an array of dc biased superconducting nanowire single photon detectors read out with a microwave multiplexing circuit. in this design, each individual nan...
arxiv:1905.06880
in this paper we derive a hierarchy of differential equations which uniquely determine the coefficients in the asymptotic expansion, for large $ n $, of the logarithm of the partition function of $ n \ times n $ hermitian random matrices. these coefficients are generating functions for graphical enumeration on riemann ...
arxiv:math-ph/0606010
we investigate the $ t = 0 $ phase diagram of a variant of the one - dimensional extended hubbard model where particles interact via a finite - range soft - shoulder potential. using density matrix renormalization group ( dmrg ) simulations, we evidence the appearance of cluster luttinger liquid ( cll ) phases, similar...
arxiv:1909.12168
shape is one of the main features in content based image retrieval ( cbir ). this paper proposes a new shape signature. in this technique, features of each shape are extracted based on four sides of the rectangle that covers the shape. the proposed technique is fourier based and it is invariant to translation, scaling ...
arxiv:1302.5894
we perform the first simultaneous global qcd analysis of spin - averaged and spin - dependent parton distribution functions ( pdfs ), including single jet production data from unpolarized and polarized hadron collisions. we critically assess the impact of su ( 3 ) flavor symmetry and pdf positivity assumptions on the q...
arxiv:2201.02075
we study the convergence properties of riemannian gradient method for solving the consensus problem ( for an undirected connected graph ) over the stiefel manifold. the stiefel manifold is a non - convex set and the standard notion of averaging in the euclidean space does not work for this problem. we propose distribut...
arxiv:2101.09346
quintessential inflation unifies inflation and late time acceleration by a single scalar field. such a scenario, with canonical and non - canonical scalar fields, has been discussed. the scalar field behaves as an inflaton field during inflation and as a quintessence field during late time. also the predictions of the ...
arxiv:1801.03272
we derive constraints on the statistics of the charge transfer between two conductors in the model of arbitrary time - dependent instant scattering of non - interacting fermions at zero temperature. the constraints are formulated in terms of analytic properties of the generating function : its zeroes must lie on the ne...
arxiv:0709.2898
na61 / shine ( sps heavy ion and neutrino experiment ) is a multi - purpose experimental facility to study hadron production in hadron - proton, hadron - nucleus and nucleus - nucleus collisions at the cern super proton synchrotron. it recorded the first physics data with hadron beams in 2009 and with ion beams ( secon...
arxiv:1401.4699
this paper develops a power management scheme that jointly optimizes the real power consumption of programmable loads and reactive power outputs of photovoltaic ( pv ) inverters in distribution networks. the premise is to determine the optimal demand response schedule that accounts for the stochastic availability of so...
arxiv:1601.04023
we prove the existence of approximate correlated equilibrium of support size polylogarithmic in the number of players and the number of actions per player. in particular, using the probabilistic method, we show that there exists a multiset of polylogarithmic size such that the uniform distribution over this multiset fo...
arxiv:1308.6025
we discuss a novel sparsity prior for compressive imaging in the context of the theory of compressed sensing with coherent redundant dictionaries, based on the observation that natural images exhibit strong average sparsity over multiple coherent frames. we test our prior and the associated algorithm, based on an analy...
arxiv:1208.2330
neurosymbolic ai is an emerging compositional paradigm that fuses neural learning with symbolic reasoning to enhance the transparency, interpretability, and trustworthiness of ai. it also exhibits higher data efficiency making it promising for edge deployments. despite the algorithmic promises and demonstrations, unfor...
arxiv:2503.01162
in this study, the influence of objects is investigated in the scenario of human action recognition with large number of classes. we hypothesize that the objects the humans are interacting will have good say in determining the action being performed. especially, if the objects are non - moving, such as objects appearin...
arxiv:1512.06498
the paper presents results from a psychophysical study conducted to optimize vibrotactile stimuli delivered to subject finger tips in order to evoke the somatosensory responses to be utilized next in a haptic brain computer interface ( hbci ) paradigm. we also present the preliminary eeg evoked responses for the chosen...
arxiv:1210.2942
this paper provides some applications of the poisson cohomology groups introduced by flato, gerstenhaber and voronov. given an abelian extension of a poisson algebra by a representation, we first investigate the inducibility of a pair of poisson algebra automorphisms and show that the corresponding obstruction lies in ...
arxiv:2504.06760
the limitations and possibilities that the concept of quantum interference offers as a tool for testing fundamental physics are explored here. the use of neutron interference as an instrument to confront against measurement readouts some of the principles behind metric theories of gravity will be analyzed, as well as s...
arxiv:0810.1325
we utilize an isomorphism between the character rings of the odd orthogonal group and the orthosymplectic supergroup to understand equivariant positivity properties of the type b quadric hypersurface ring. our main result establishes a well - behaved functorial construction of schur modules ` ` with respect to ' ' the ...
arxiv:2503.18918
we consider a one - dimensional symmetric levy process that has local time. in the first part, we construct a self - adjoint extension of the generator of the process so that the constructed operator corresponds to the generator with the delta potential. using the constructed operator, we extend the feynman - kac formu...
arxiv:2501.05522
we study the nonlinear regime of large scale structure formation considering a dynamical dark energy ( de ) component determined by a steep equation of state parametrization ( seos ) $ w ( z ) = w _ 0 + w _ i \ frac { ( z / z _ t ) ^ q } { 1 + ( z / z _ t ) ^ q } $. in order to perform the model exploration at low comp...
arxiv:1911.02402
st engineering, is a global technology, defence and engineering group with a diverse portfolio of businesses across the aerospace, smart city, defence and public security segments. headquartered in singapore, the group reported a revenue of over s $ 11 billion in 2024 and ranks among the largest companies listed on the...
https://en.wikipedia.org/wiki/ST_Engineering
recently, level crossings in the energy bands of crystals have been identified as a key signature for topological phase transitions. using realistic models we show that the parameter space controlling the occurrence of level coincidences in energy bands has a much richer structure than anticipated previously. in partic...
arxiv:1011.4504
traffic flow forecasting is a highly challenging task due to the dynamic spatial - temporal road conditions. graph neural networks ( gnn ) has been widely applied in this task. however, most of these gnns ignore the effects of time - varying road conditions due to the fixed range of the convolution receptive field. in ...
arxiv:2307.05517
the technique of dispersion integration over the mass of composite particle is used to describe the reaction of the deuteron photodisintegration. the influence of the final state interaction ( fsi ) on the total cross section, calculated with and without inelasticity is investigated. numerical results depend on the cho...
arxiv:nucl-th/9510008
in this work, we first use thompson ' s renormalization group method to treat qcd - vacuum behavior close to the regime of asymptotic freedom. qcd - vacuum behaves effectively like a " paramagnetic system " of a classical theory in the sense that virtual color charges ( gluons ) emerge in it as spin effect of a paramag...
arxiv:0706.2553
we prove q - analogues of two ramanujan - type series for $ 1 / \ pi $ from $ q $ - analogues of ordinary wz pairs.
arxiv:1803.08477
we fully investigate the symmetry breaking patterns occurring upon creation of composite non - abelian strings : vortex strings in non - abelian theories where different sets of colours have different amounts of flux. after spontaneous symmetry breaking, there remains some internal colour degrees of freedom attached to...
arxiv:1908.08499
we consider a class of " filtered " schemes for first order time dependent hamilton - jacobi equations and prove a general convergence result for this class of schemes. a typical filtered scheme is obtained mixing a high - order scheme and a monotone scheme according to a filter function $ f $ which decides where the s...
arxiv:1812.02140
accurate and fast beam - alignment is essential to cope with the fast - varying environment in millimeter - wave communications. a data - driven approach is a promising solution to reduce the training overhead by leveraging side information and on - the - field measurements. in this work, a two - stage tensor completio...
arxiv:1906.07290
pursuit - evasion games ( in discrete time ) are stochastic games with nonnegative daily payoffs, with the final payoff being the cumulative sum of payoffs during the game. we show that such games admit a value even in the presence of incomplete information and that this value is uniform, i. e. there are epsilon - opti...
arxiv:0708.2556
the well known douglas lemma says that for operators $ a, b $ on hilbert space that $ aa ^ * - bb ^ * \ succeq 0 $ implies $ b = ac $ for some contraction operator $ c $. the result carries over directly to classical operator - valued toeplitz operators by simply replacing operator by toeplitz operator. free functions ...
arxiv:1411.1965
in the realm of modern digital communication, cryptography, and signal processing, binary sequences with a low correlation properties play a pivotal role. in the literature, considerable efforts have been dedicated to constructing good binary sequences of various lengths. as a consequence, numerous constructions of goo...
arxiv:2407.18570
personalized recommendations on the netflix homepage are based on a user ' s viewing habits and the behavior of similar users. these recommendations, organized for efficient browsing, enable users to discover the next great video to watch and enjoy without additional input or an explicit expression of their intents or ...
arxiv:2105.14134
bestvina, feighn and handel proved that every subgroup of the outer automorphism group, $ \ textrm { out } ( f _ n ) $, of the free group of rank $ n $ is either virtually finitely generated abelian or contains a nonabelian free group. in this note we consider the more general situation of the outer automorphism group ...
arxiv:2112.12183
the combined dyson - schwinger - - bethe - salpeter equations are employed at non - zero temperature. the truncations refer to a rainbow - ladder approximation augmented with an interaction kernel which facilitates a special temperature dependence. at low temperatures, $ t \ to 0 $, we recover a quark propagator from t...
arxiv:1807.10075
using frequency distributions of daily closing price time series of several financial market indexes, we investigate whether the bias away from an equiprobable sequence distribution found in the data, predicted by algorithmic information theory, may account for some of the deviation of financial markets from log - norm...
arxiv:1008.1846
the scheduling of task graphs with communication delays has been extensively studied. recently, new results for the common sub - case of fork - join shaped task graphs were published, including an eptas and polynomial algorithms for special cases. these new results modelled the target architecture to consist of homogen...
arxiv:2305.17556
searches for neutrino isocurvature usually constrain a specific linear combination of isocurvature perturbations. in this work, we discuss realistic cosmological scenarios giving rise to neutrino isocurvature. we show that in general both, neutrino and matter isocurvature perturbations are generated, whose ratio we par...
arxiv:2504.17047
extending previous works on the spectrum of qcd _ 2, we now investigate the 2d analogue of meson - baryon scattering. we use semi - classical methods, perturbing around classical soliton solutions. we start with the abelian case, corresponding to one flavor, and find that in this case the effective potential is reflect...
arxiv:hep-ph/0206001
we analyze rest - frame optical morphologies and gas - phase kinematics as traced by rest - frame far - uv and optical spectra for a sample of 204 star forming galaxies in the redshift range z ~ 2 - 3 drawn from the keck baryonic structure survey ( kbss ). we find that spectroscopic properties and gas - phase kinematic...
arxiv:1206.6889
let $ k $ be an algebraically closed field of characteristic $ p > 0 $. let $ d $ be a $ p $ - divisible group over $ k $. let $ n _ d $ be the smallest non - negative integer for which the following statement holds : if $ c $ is a $ p $ - divisible group over $ k $ of the same codimension and dimension as $ d $ and su...
arxiv:math/0607268
deep hiding, concealing secret information using deep neural networks ( dnns ), can significantly increase the embedding rate and improve the efficiency of secret sharing. existing works mainly force on designing dnns with higher embedding rates or fancy functionalities. in this paper, we want to answer some fundamenta...
arxiv:2302.11918
the aim of this article is to extend the results of asadi m. b, b. v. r. bhat, g. ramesh, k. sumesh about completely positive maps on hilbert c * - modules. we prove a stinespring type theorem for a finite family of completely positive maps on hilbert c * - modules. we also show that any two minimal stinespring represe...
arxiv:1210.5716
experiments have shown that the conductance of conical channels, filled with an aqueous electrolyte, can strongly depend on the history of the applied voltage. these channels hence have a memory and are promising elements in brain - inspired ( iontronic ) circuits. we show here that the memory of such channels stems fr...
arxiv:2301.06158
recent research using reinforcement learning ( rl ) to learn autonomous control for spacecraft operations has shown great success. however, a recent study showed their performance could be improved by changing the action space, i. e. control outputs, used in the learning environment. this has opened the door for findin...
arxiv:2501.06016
the delphi and aleph experiments have released new results of the fermi - dirac correlations for pp ( \ bar { p } \ bar { p } ) and bose - einstein correlations for k ^ 0 _ s k ^ 0 _ s. both experiments measure very small source radius for protons r \ sim 0. 1 fm. the source dimension for k ^ 0 _ s k ^ 0 _ s is in agre...
arxiv:hep-ex/0405057
we present the first measurement of the galaxy luminosity function at 1500a between 0. 2 < z < 1. 2 based on galex - vvds observations ( 1000 spectroscopic redshifts for galaxies with nuv < 24. 5 ) and at higher z using existing datasets. our main results are summarized as follows : ( i ) luminosity evolution is observ...
arxiv:astro-ph/0411391
we provide an effective method to compute multiplier ideals of meromorphic functions in dimension two. we also prove that meromorphic functions only have integer jumping numbers after reaching some threshold.
arxiv:2405.04745
this work presents an investigation on different methods for the calculation of the angle of attack and the underlying induced velocity on wind turbine blades using data obtained from three - dimensional computational fluid dynamics ( cfd ). several methods are examined and their advantages, as well as shortcomings, ar...
arxiv:1709.04298
autoformalization is the process of automatically translating from natural language mathematics to formal specifications and proofs. a successful autoformalization system could advance the fields of formal verification, program synthesis, and artificial intelligence. while the long - term goal of autoformalization seem...
arxiv:2205.12615
the relation between the r - and p - matrix approaches and the harmonic oscillator representation of the quantum scattering theory ( j - matrix method ) is discussed. we construct a discrete analogue of the p - matrix that is shown to be equivalent to the usual p - matrix in the quasiclassical limit. a definition of th...
arxiv:math-ph/9910007
let $ v _ \ gamma $ be a lattice periodic potential and $ a $ and $ \ phi $ external electromagnetic potentials which vary slowly on the scale set by the lattice spacing. it is shown that the wigner function of a solution of the schroedinger equation with hamiltonian operator $ h = { 1 / 2 } ( - \ i \ nabla _ x - a ( \...
arxiv:math-ph/0403037
we develop a perturbative expansion which allows the construction of non - abelian self - dual su ( 2 ) yang - mills field configurations on the four - dimensional torus with topological charge 1 / 2. the expansion is performed around the constant field strength abelian solutions found by ' t hooft. next to leading ord...
arxiv:hep-th/0007113
using a fully ab - initio methodology, we demonstrate how the lattice vibrations couple with neutral excitons in monolayer wse2 and contribute to the non - radiative excitonic lifetime. we show that only by treating the electron - electron and electron - phonon interactions at the same time it is possible to obtain an ...
arxiv:1805.01794
ultraluminous x - ray sources ( ulxs ) are mainly powered by accretion in neutron stars or stellar - mass black holes. accreting at rates exceeding the eddington limit by factors of a few up to hundreds, radiation pressure is expected to inflate the accretion disc, and drive fast winds that have in fact been observed a...
arxiv:1903.06174
following openai ' s introduction of gpts, a surge in gpt apps has led to the launch of dedicated llm app stores. nevertheless, given its debut, there is a lack of sufficient understanding of this new ecosystem. to fill this gap, this paper presents a first comprehensive longitudinal ( 5 - month ) study of the evolutio...
arxiv:2402.15105
in recent years, it has become easy to obtain location information quite precisely. however, the acquisition of such information has risks such as individual identification and leakage of sensitive information, so it is necessary to protect the privacy of location information. for this purpose, people should know their...
arxiv:1904.10578
we review and provide simplified proofs related to the magnus expansion, and improve convergence estimates. observations and improvements concerning the baker - - campbell - - hausdorff expansion are also made. in this part i, we consider the general banach algebraic setting. we show that the ( cumulative ) convergence...
arxiv:1709.01791
we define an annular version of odd khovanov homology and prove that it carries an action of the lie superalgebra $ \ mathfrak { gl } ( 1 | 1 ) $ which is preserved under annular reidemeister moves.
arxiv:1806.05718
recently, an end - to - end two - dimensional sound source localization algorithm with ad - hoc microphone arrays formulates the sound source localization problem as a classification problem. the algorithm divides the target indoor space into a set of local areas, and predicts the local area where the speaker locates. ...
arxiv:2304.07512
we study the problem of low - rank matrix completion for symmetric matrices. the minimum rank of a completion of a generic partially specified symmetric matrix depends only on the location of the specified entries, and not their values, if complex entries are allowed. when the entries are required to be real, this is n...
arxiv:1909.06593
we establish a stochastic maximum principle ( smp ) for control problems of partially observed diffusions of mean - field type with risk - sensitive performance functionals.
arxiv:1411.7231
a trial application of the method of feynman - kleinert approximants is made to perturbation series arising in connection with the lattice schwinger model. in extrapolating the lattice strong - coupling series to the weak - coupling continuum limit, the approximants do not converge well. in interpolating between the co...
arxiv:hep-lat/0303007
dual - comb spectroscopy is a rapidly developing technique enabling ultraprecise broadband optical diagnostics of atoms and molecules. this powerful tool typically requires two phase - locked femtosecond lasers, yet it has been shown that it can be realized without any stabilization if the combs are generated from a si...
arxiv:2009.05454
agol recently introduced the concept of a veering taut triangulation, which is a taut triangulation with some extra combinatorial structure. we define the weaker notion of a " veering triangulation " and use it to show that all veering triangulations admit strict angle structures. we also answer a question of agol, giv...
arxiv:1011.3695
the audio - video based multimodal emotion recognition has attracted a lot of attention due to its robust performance. most of the existing methods focus on proposing different cross - modal fusion strategies. however, these strategies introduce redundancy in the features of different modalities without fully consideri...
arxiv:2111.02172
the one dimensional spin - 1 / 2 heisenberg antiferromagnet in a weak magnetic field h is studied using the bosonization method. we derive a set of renormalization group equations. the fixed point is reached when the field is scaled to the value at which the system is quarter - filled. as the magnetic field varies, a c...
arxiv:cond-mat/0002104
as constructing multi - d wavelets remains a challenging problem, we propose a new method called prime coset sum to construct multi - d wavelets. our method provides a systematic way to construct multi - d non - separable wavelet filter banks from two 1 - d lowpass filters, with one of whom being interpolatory. our met...
arxiv:1407.5513