text
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dict
prediction
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list
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multi_label
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1 class
explanation
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{ "abstract": " We study the correlators of irregular vertex operators in two-dimensional\nconformal field theory (CFT) in order to propose an exact analytic formula for\ncalculating numbers of partitions, that is:\n1) for given $N,k$, finding the total number $\\lambda(N|k)$ of length $k$\npartitions of $N$: $N=n_1...
null
null
[ "Mathematics" ]
null
true
null
19101
null
Validated
null
null
null
{ "abstract": " We introduce a new variant of the game of Cops and Robbers played on graphs,\nwhere the robber is invisible unless outside the neighbor set of a cop. The\nhyperopic cop number is the corresponding analogue of the cop number, and we\ninvestigate bounds and other properties of this parameter. We charac...
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null
null
true
null
19102
null
Default
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{ "abstract": " We prove new pinching estimate for the inverse curvature flow of strictly\nconvex hypersurfaces in the space form $N$ of constant sectional curvature\n$K_N$ with speed given by $F^{-\\alpha}$, where $\\alpha\\in (0,1]$ for $K_N=0,-1$\nand $\\alpha=1$ for $K_N=1$, $F$ is a smooth, symmetric homogeneou...
null
null
[ "Mathematics" ]
null
true
null
19103
null
Validated
null
null
null
{ "abstract": " We present an easy-to-use, Python-based framework that allows a researcher to\nautomate their computational simulations. In particular the framework\nfacilitates assembling several long-running computations and producing various\nplots from the data produced by these computations. The framework makes...
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null
null
true
null
19104
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Default
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{ "abstract": " An experiment conducted in the framework of the EUHIT project and designed to\ncharacterize large scale structures in an adverse pressure gradient boundary\nlayer flow is presented. Up to 16 sCMOS cameras were used in order to perform\nlarge scale turbulent boundary layer PIV measurements with a larg...
null
null
[ "Physics" ]
null
true
null
19105
null
Validated
null
null
null
{ "abstract": " Let $F_n$ denote the $n^{th}$ Fibonacci number relative to the initial\nconditions $F_0=0$ and $F_1=1$. Bach, Paudyal, and Remmel introduced Fibonacci\nanalogues of the Stirling numbers called Fibo-Stirling numbers of the first and\nsecond kind. These numbers serve as the connection coefficients betw...
null
null
[ "Mathematics" ]
null
true
null
19106
null
Validated
null
null
null
{ "abstract": " Based on their formation mechanisms, Dirac points in three-dimensional\nsystems can be classified as accidental or essential. The former can be further\ndistinguished into type-I and type-II, depending on whether the Dirac cone\nspectrum is completely tipped over along certain direction. Here, we pre...
null
null
[ "Physics" ]
null
true
null
19107
null
Validated
null
null
null
{ "abstract": " We consider a class of fractional stochastic volatility models (including the\nso-called rough Bergomi model), where the volatility is a superlinear function\nof a fractional Gaussian process. We show that the stock price is a true\nmartingale if and only if the correlation $\\rho$ between the drivin...
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null
null
true
null
19108
null
Default
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null
{ "abstract": " A finite-dimensional algebra $A$ over an algebraically closed field $K$ is\ncalled periodic if it is periodic under the action of the syzygy operator in\nthe category of $A-A-$ bimodules. The periodic algebras are self-injective and\noccur naturally in the study of tame blocks of group algebras, acti...
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null
null
true
null
19109
null
Default
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null
{ "abstract": " This paper studies the nonparametric modal regression problem systematically\nfrom a statistical learning view. Originally motivated by pursuing a\ntheoretical understanding of the maximum correntropy criterion based regression\n(MCCR), our study reveals that MCCR with a tending-to-zero scale paramet...
null
null
null
null
true
null
19110
null
Default
null
null
null
{ "abstract": " The ability to use a 2D map to navigate a complex 3D environment is quite\nremarkable, and even difficult for many humans. Localization and navigation is\nalso an important problem in domains such as robotics, and has recently become\na focus of the deep reinforcement learning community. In this pape...
null
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null
null
true
null
19111
null
Default
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null
{ "abstract": " Average radio pulse profile of a pulsar B in a double pulsar system PSR\nJ0737-3039A/B exhibits an interesting behaviour. During the observation period\nbetween 2003 and 2009, the profile evolves from a single-peaked to a\ndouble-peaked form, following disappearance in 2008 indicating that the\ngeode...
null
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null
null
true
null
19112
null
Default
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null
{ "abstract": " Core-periphery networks are structures that present a set of central and\ndensely connected nodes, namely the core, and a set of non-central and sparsely\nconnected nodes, namely the periphery. The rich-club refers to a set in which\nthe highest degree nodes show a high density of connections. Thus, ...
null
null
null
null
true
null
19113
null
Default
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null
null
{ "abstract": " The last decade has seen a surge of interest in adaptive learning algorithms\nfor data stream classification, with applications ranging from predicting ozone\nlevel peaks, learning stock market indicators, to detecting computer security\nviolations. In addition, a number of methods have been develope...
null
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null
null
true
null
19114
null
Default
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{ "abstract": " Regarding the analysis of Web communication, social and complex networks the\nfast finding of most influential nodes in a network graph constitutes an\nimportant research problem. We use two indices of the influence of those nodes,\nnamely, PageRank and a Max-linear model. We consider the PageRank %b...
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null
null
true
null
19115
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Default
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{ "abstract": " In recent work, redressed warped frames have been introduced for the analysis\nand synthesis of audio signals with non-uniform frequency and time resolutions.\nIn these frames, the allocation of frequency bands or time intervals of the\nelements of the representation can be uniquely described by mean...
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null
null
true
null
19116
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Default
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{ "abstract": " For the multiterminal secret key agreement problem under a private source\nmodel, it is known that the maximum key rate, i.e., the secrecy capacity, can\nbe achieved through communication for omniscience, but the omniscience strategy\ncan be strictly suboptimal in terms of minimizing the public discu...
null
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null
null
true
null
19117
null
Default
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null
{ "abstract": " Constructing a smart wheelchair on a commercially available powered\nwheelchair (PWC) platform avoids a host of seating, mechanical design and\nreliability issues but requires methods of predicting and controlling the\nmotion of a device never intended for robotics. Analog joystick inputs are\nsubjec...
null
null
null
null
true
null
19118
null
Default
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null
{ "abstract": " Kernel methods have produced state-of-the-art results for a number of NLP\ntasks such as relation extraction, but suffer from poor scalability due to the\nhigh cost of computing kernel similarities between natural language structures.\nA recently proposed technique, kernelized locality-sensitive hash...
null
null
null
null
true
null
19119
null
Default
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null
{ "abstract": " When you see a person in a crowd, occluded by other persons, you miss visual\ninformation that can be used to recognize, re-identify or simply classify him\nor her. You can imagine its appearance given your experience, nothing more.\nSimilarly, AI solutions can try to hallucinate missing information ...
null
null
null
null
true
null
19120
null
Default
null
null
null
{ "abstract": " This article presents \"John\", an open-source software designed to help\ncollective free improvisation. It provides generated screen-scores running on\ndistributed, reactive web-browsers. The musicians can then concurrently edit\nthe scores in their own browser. John is used by ONE, a septet playing...
null
null
null
null
true
null
19121
null
Default
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null
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{ "abstract": " The real energy spectrum from the $PT$-symmetric Hamiltonian $H = p^2 -\n(ix)^N$ with $x\\in\\mathbb{C}$ was examined within one pair of Stokes wedges in\n1998 by Bender and Boettcher. For this Hamiltonian we discuss the following\nthree questions. First, since their paper used a Runge-Kutta method t...
null
null
null
null
true
null
19122
null
Default
null
null
null
{ "abstract": " Virtually all real-world networks are dynamical entities. In social networks,\nthe propensity of nodes to engage in social interactions (activity) and their\nchances to be selected by active nodes (attractiveness) are heterogeneously\ndistributed. Here, we present a time-varying network model where e...
null
null
null
null
true
null
19123
null
Default
null
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null
{ "abstract": " B cells develop high affinity receptors during the course of affinity\nmaturation, a cyclic process of mutation and selection. At the end of affinity\nmaturation, a number of cells sharing the same ancestor (i.e. in the same\n\"clonal family\") are released from the germinal center, their amino acid\...
null
null
null
null
true
null
19124
null
Default
null
null
null
{ "abstract": " Merging Mobile Edge Computing (MEC), which is an emerging paradigm to meet\nthe increasing computation demands from mobile devices, with the dense\ndeployment of Base Stations (BSs), is foreseen as a key step towards the next\ngeneration mobile networks. However, new challenges arise for designing en...
null
null
null
null
true
null
19125
null
Default
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null
{ "abstract": " In the realm of Delone sets in locally compact, second countable, Hausdorff\ngroups, we develop a dynamical systems approach in order to study the\ncontinuity behavior of measured quantities arising from point sets. A special\nfocus is both on the autocorrelation, as well as on the density of states ...
null
null
[ "Mathematics" ]
null
true
null
19126
null
Validated
null
null
null
{ "abstract": " In this paper, we study biconservative surfaces with parallel normalized mean\ncurvature vector in $\\mathbb{E}^4$. We obtain complete local classification in\n$\\mathbb{E}^4$ for a biconservative PNMCV surface. We also give an example to\nshow the existence of PNMCV biconservative surfaces in $\\mat...
null
null
[ "Mathematics" ]
null
true
null
19127
null
Validated
null
null
null
{ "abstract": " In an effort to increase the versatility of finite element codes, we explore\nthe possibility of automatically creating the Jacobian matrix necessary for the\ngradient-based solution of nonlinear systems of equations. Particularly, we aim\nto assess the feasibility of employing the automatic differen...
null
null
null
null
true
null
19128
null
Default
null
null
null
{ "abstract": " We investigate the asymptotic behavior of solutions of Hamilton-Jacobi\nequations with large drift term in an open subset of two-dimensional Euclidean\nspace. When the drift is given by $\\varepsilon^{-1} (H_{x_2}, -H_{x_1})$ of a\nHamiltonian $H$, with $\\varepsilon > 0$, we establish the convergenc...
null
null
null
null
true
null
19129
null
Default
null
null
null
{ "abstract": " For a point set of $n$ elements in the $d$-dimensional unit cube and a class\nof test sets we are interested in the largest volume of a test set which does\nnot contain any point. For all natural numbers $n$, $d$ and under the\nassumption of a $delta$-cover with cardinality $\\vert \\Gamma_\\delta \\...
null
null
null
null
true
null
19130
null
Default
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null
{ "abstract": " We have performed angle-resolved photoemission spectroscopy (ARPES) of LaSb\nand CeSb, a candidate of topological insulator. Using soft-x-ray photons, we\nhave accurately determined the three-dimensional bulk band structure and\nrevealed that the band inversion at the Brillouin-zone corner - a prereq...
null
null
null
null
true
null
19131
null
Default
null
null
null
{ "abstract": " In the hierarchical formation model, galaxy clusters grow by accretion of\nsmaller groups or isolated galaxies. During the infall into the centre of a\ncluster, the properties of accreted galaxies change. In particular, both\nobservations and numerical simulations suggest that its dark matter halo is...
null
null
null
null
true
null
19132
null
Default
null
null
null
{ "abstract": " Using a novel rewriting problem, we show that several natural decision\nproblems about finite automata are undecidable (i.e., recursively unsolvable).\nIn contrast, we also prove three related problems are decidable. We apply one\nresult to prove the undecidability of a related problem about k-automa...
null
null
null
null
true
null
19133
null
Default
null
null
null
{ "abstract": " We construct two examples of invariant manifolds that despite being locally\nunstable at every point in the transverse direction are globally stable. Using\nnumerical simulations we show that these invariant manifolds temporarily repel\nnearby trajectories but act as global attractors. We formulate a...
null
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null
null
true
null
19134
null
Default
null
null
null
{ "abstract": " We determine barycentric coordinates of triangle centers in the elliptic\nplane. The main focus is put on centers that lie on lines whose euclidean limit\n(triangle excess --> 0) is the Euler line or the Brocard line. We also\ninvestigate curves which can serve in elliptic geometry as substitutes for...
null
null
[ "Mathematics" ]
null
true
null
19135
null
Validated
null
null
null
{ "abstract": " During active learning, an effective stopping method allows users to limit\nthe number of annotations, which is cost effective. In this paper, a new\nstopping method called Predicted Change of F Measure will be introduced that\nattempts to provide the users an estimate of how much performance of the ...
null
null
null
null
true
null
19136
null
Default
null
null
null
{ "abstract": " In this paper, a random clique network model to mimic the large clustering\ncoefficient and the modular structure that exist in many real complex networks,\nsuch as social networks, artificial networks, and protein interaction networks,\nis introduced by combining the random selection rule of the Erd...
null
null
[ "Computer Science", "Physics" ]
null
true
null
19137
null
Validated
null
null
null
{ "abstract": " The paucity of videos in current action classification datasets (UCF-101 and\nHMDB-51) has made it difficult to identify good video architectures, as most\nmethods obtain similar performance on existing small-scale benchmarks. This\npaper re-evaluates state-of-the-art architectures in light of the ne...
null
null
null
null
true
null
19138
null
Default
null
null
null
{ "abstract": " We introduce and study the game of \"Selfish Cops and Active Robber\" (SCAR)\nwhich can be seen as an multiplayer variant of the \"classic\" two-player Cops\nand Robbers (CR) game. In classic CR all cops are controlled by a single\nplayer, who has no preference over which cop captures the robber. In ...
null
null
null
null
true
null
19139
null
Default
null
null
null
{ "abstract": " The 2016 Snook Prize has been awarded to Diego Tapias, Alessandro Bravetti,\nand David Sanders for their paper -- Ergodicity of One-Dimensional Systems\nCoupled to the Logistic Thermostat. They introduced a relatively stiff\nhyperbolic tangent thermostat force and successfully tested its ability to\n...
null
null
null
null
true
null
19140
null
Default
null
null
null
{ "abstract": " We provide a new computationally-efficient class of estimators for risk\nminimization. We show that these estimators are robust for general statistical\nmodels: in the classical Huber epsilon-contamination model and in heavy-tailed\nsettings. Our workhorse is a novel robust variant of gradient descen...
null
null
null
null
true
null
19141
null
Default
null
null
null
{ "abstract": " In biology, there are several questions that translate to combinatorial\nsearch. For example, vesicle traffic systems that move cargo within eukaryotic\ncells have been proposed to exhibit several graph properties such as three\nconnectivity. These properties are consequences of underlying biophysica...
null
null
null
null
true
null
19142
null
Default
null
null
null
{ "abstract": " Multipartite viruses replicate through a puzzling evolutionary strategy.\nTheir genome is segmented into two or more parts, and encapsidated in separate\nparticles that appear to propagate independently. Completing the replication\ncycle, however, requires the full genome, so that a persistent infect...
null
null
null
null
true
null
19143
null
Default
null
null
null
{ "abstract": " Collective cell migration is a highly regulated process involved in wound\nhealing, cancer metastasis and morphogenesis. Mechanical interactions among\ncells provide an important regulatory mechanism to coordinate such collective\nmotion. Using a Self-Propelled Voronoi (SPV) model that links cell mec...
null
null
null
null
true
null
19144
null
Default
null
null
null
{ "abstract": " We consider the problem of learning function classes computed by neural\nnetworks with various activations (e.g. ReLU or Sigmoid), a task believed to be\ncomputationally intractable in the worst-case. A major open problem is to\nunderstand the minimal assumptions under which these classes admit prova...
null
null
[ "Computer Science" ]
null
true
null
19145
null
Validated
null
null
null
{ "abstract": " Steganography involves hiding a secret message or image inside another cover\nimage. Changes are made in the cover image without affecting visual quality of\nthe image. In contrast to cryptography, Steganography provides complete secrecy\nof the communication. Security of very sensitive data can be e...
null
null
null
null
true
null
19146
null
Default
null
null
null
{ "abstract": " Euler and Navier-Stokes have variant systems with dynamical invariance of\nhelicity and thus (weak) topological equivalence, allowing a strong `frozen-in'\n(to, or, dually, `Lie-carried' by the \\textit{virtual} velocity $V$)\nformulation of the vorticity with a flavor of `inverse Helmholtz theorem'....
null
null
null
null
true
null
19147
null
Default
null
null
null
{ "abstract": " We define a holographic dual to the Donaldson-Witten topological twist of\n$\\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described\nby a class of asymptotically locally hyperbolic solutions to $\\mathcal{N}=4$\ngauged supergravity in five dimensions, with the four-manifold as...
null
null
null
null
true
null
19148
null
Default
null
null
null
{ "abstract": " We systematically analyzed magnetodielectric resonances of Se colloids for\nthe first time to exploit the possibility for use as building blocks of\nall-dielectric optical metafluids. By taking synergistic advantages of Se\ncolloids, including (i) high-refractive-index at optical frequencies, (ii)\nu...
null
null
null
null
true
null
19149
null
Default
null
null
null
{ "abstract": " We develop a commuting vector field method for a general class of radiating\nspacetimes. The metrics considered are certain long range perturbations of\nMinkowski space including those constructed from global stability problems in\ngeneral relativity. Our method provides sharp peeling estimates for s...
null
null
null
null
true
null
19150
null
Default
null
null
null
{ "abstract": " We conducted a search for an exotic spin- and velocity-dependent interaction\nfor polarized electrons with an experimental approach based on a\nhigh-sensitivity spin-exchange relaxation-free (SERF) magnetometer, which\nserves as both a source of polarized electrons and a magnetic-field sensor. The\ne...
null
null
null
null
true
null
19151
null
Default
null
null
null
{ "abstract": " Deep learning models have lately shown great performance in various fields\nsuch as computer vision, speech recognition, speech translation, and natural\nlanguage processing. However, alongside their state-of-the-art performance, it\nis still generally unclear what is the source of their generalizati...
null
null
null
null
true
null
19152
null
Default
null
null
null
{ "abstract": " Although block compressive sensing (BCS) makes it tractable to sense\nlarge-sized images and video, its recovery performance has yet to be\nsignificantly improved because its recovered images or video usually suffer\nfrom blurred edges, loss of details, and high-frequency oscillatory artifacts,\nespe...
null
null
null
null
true
null
19153
null
Default
null
null
null
{ "abstract": " A consistent treatment of the coupling of surface energy and elasticity\nwithin the multi-phase- field framework is presented. The model accurately\nreproduces stress distribution in a number of analytically tractable, yet\nnon-trivial, cases including different types of spherical heterogeneities and...
null
null
null
null
true
null
19154
null
Default
null
null
null
{ "abstract": " We prove that recent breaking by Zahl of the $\\frac32$ barrier in Wolff's\nestimate on the Kakeya maximal operator in $\\mathbb R^4$ leads to improving the\n$\\frac{14}{5}$ threshold for the restriction problem for the paraboloid in\n$\\mathbb R^4$. One of the ingredients is a new trilinear estimate...
null
null
null
null
true
null
19155
null
Default
null
null
null
{ "abstract": " We establish existence of Stein kernels for probability measures on\n$\\mathbb{R}^d$ satisfying a Poincaré inequality, and obtain bounds on the\nStein discrepancy of such measures. Applications to quantitative central limit\ntheorems are discussed, including a new CLT in Wasserstein distance $W_2$ wi...
null
null
null
null
true
null
19156
null
Default
null
null
null
{ "abstract": " Synchronizations of processing elements (PEs) in massively parallel\nsimulations, which arise due to communication or load imbalances between PEs,\nsignificantly affect the scalability of scientific applications. We have\nrecently proposed a method based on finite-difference schemes to solve partial\...
null
null
null
null
true
null
19157
null
Default
null
null
null
{ "abstract": " For future application of automated vehicles in public traffic, ensuring\nfunctional safety is essential. In this context, a hazard analysis and risk\nassessment is an important input for designing functionally vehicle automation\nsystems. In this contribution, we present a detailed hazard analysis a...
null
null
[ "Computer Science" ]
null
true
null
19158
null
Validated
null
null
null
{ "abstract": " The Swift test was originally proposed as a formability test to reproduce the\nconditions observed in deep drawing operations. This test consists on forming a\ncylindrical cup from a circular blank, using a flat bottom cylindrical punch\nand has been extensively studied using both analytical and nume...
null
null
null
null
true
null
19159
null
Default
null
null
null
{ "abstract": " Strong gravitational lensing by galaxy clusters is a fundamental tool to\nstudy dark matter and constrain the geometry of the Universe. Recently, the\nHubble Space Telescope Frontier Fields programme has allowed a significant\nimprovement of mass and magnification measurements but lensing models stil...
null
null
null
null
true
null
19160
null
Default
null
null
null
{ "abstract": " E. Opdam introduced the tool of spectral transfer morphism (STM) of affine\nHecke algebras to study the formal degrees of unipotent discrete series\nrepresentations. He established a uniqueness property of STM for the affine\nHecke algebras associated of unipotent discrete series representations. Bas...
null
null
[ "Mathematics" ]
null
true
null
19161
null
Validated
null
null
null
{ "abstract": " We propose Batch-Expansion Training (BET), a framework for running a batch\noptimizer on a gradually expanding dataset. As opposed to stochastic\napproaches, batches do not need to be resampled i.i.d. at every iteration, thus\nmaking BET more resource efficient in a distributed setting, and when\ndis...
null
null
null
null
true
null
19162
null
Default
null
null
null
{ "abstract": " Coordinate descent methods usually minimize a cost function by updating a\nrandom decision variable (corresponding to one coordinate) at a time. Ideally,\nwe would update the decision variable that yields the largest decrease in the\ncost function. However, finding this coordinate would require check...
null
null
[ "Computer Science", "Statistics" ]
null
true
null
19163
null
Validated
null
null
null
{ "abstract": " The set of 2-dimensional packing problems builds an important class of\noptimization problems and Strip Packing together with 2-dimensional Bin Packing\nand 2-dimensional Knapsack is one of the most famous of these problems. Given a\nset of rectangular axis parallel items and a strip with bounded wid...
null
null
null
null
true
null
19164
null
Default
null
null
null
{ "abstract": " A review of the replica symmetric solution of the classical and quantum,\ninfinite-range, Sherrington-Kirkpatrick spin glass is presented.\n", "title": "Notes on the replica symmetric solution of the classical and quantum SK model, including the matrix of second derivatives and the spin glass susce...
null
null
null
null
true
null
19165
null
Default
null
null
null
{ "abstract": " To solve deep neural network (DNN)'s huge training dataset and its high\ncomputation issue, so-called teacher-student (T-S) DNN which transfers the\nknowledge of T-DNN to S-DNN has been proposed. However, the existing T-S-DNN\nhas limited range of use, and the knowledge of T-DNN is insufficiently\ntr...
null
null
null
null
true
null
19166
null
Default
null
null
null
{ "abstract": " Hierarchy is an efficient way for a group to organize, but often goes along\nwith inequality that benefits leaders. To control despotic behaviour, followers\ncan assess leaders decisions by aggregating their own and their neighbours\nexperience, and in response challenge despotic leaders. But in hier...
null
null
[ "Quantitative Biology" ]
null
true
null
19167
null
Validated
null
null
null
{ "abstract": " Bioinformatics tools have been developed to interpret gene expression data at\nthe gene set level, and these gene set based analyses improve the biologists'\ncapability to discover functional relevance of their experiment design. While\nelucidating gene set individually, inter gene sets association i...
null
null
[ "Statistics", "Quantitative Biology" ]
null
true
null
19168
null
Validated
null
null
null
{ "abstract": " Given a nonconvex function that is an average of $n$ smooth functions, we\ndesign stochastic first-order methods to find its approximate stationary\npoints. The convergence of our new methods depends on the smallest (negative)\neigenvalue $-\\sigma$ of the Hessian, a parameter that describes how nonc...
null
null
[ "Computer Science", "Mathematics", "Statistics" ]
null
true
null
19169
null
Validated
null
null
null
{ "abstract": " We present a Bounded Model Checking technique for higher-order programs. The\nvehicle of our study is a higher-order calculus with general references. Our\ntechnique is a symbolic state syntactical translation based on SMT solvers,\nadapted to a setting where the values passed and stored during compu...
null
null
null
null
true
null
19170
null
Default
null
null
null
{ "abstract": " In this paper we study the cubic fractional nonlinear Schrodinger equation\n(NLS) on the torus and on the real line. Combining the normal form and the\nrestricted norm methods we prove that the nonlinear part of the solution is\nsmoother than the initial data. Our method applies to both focusing and\...
null
null
[ "Mathematics" ]
null
true
null
19171
null
Validated
null
null
null
{ "abstract": " Cryptovirological augmentations present an immediate, incomparable threat.\nOver the last decade, the substantial proliferation of crypto-ransomware has\nhad widespread consequences for consumers and organisations alike. Established\npreventive measures perform well, however, the problem has not ceas...
null
null
[ "Computer Science" ]
null
true
null
19172
null
Validated
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null
{ "abstract": " Various Alexandrov-Fenchel type inequalities have appeared and played\nimportant roles in convex geometry, matrix theory and complex algebraic\ngeometry. It has been noticed for some time that they share some striking\nanalogies and have intimate relationships. The purpose of this article is to\nshed...
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null
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true
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19173
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Default
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{ "abstract": " In this paper we consider the role of nonmodal instabilities in the dynamics\nof atmospheric tornadoes. For this purpose we consider the Euler equation,\ncontinuity equation and the equation of state and linearise them. As an example\nwe study several different velocity profiles: the so-called Rankin...
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null
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true
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19174
null
Default
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{ "abstract": " Face modeling has been paid much attention in the field of visual computing.\nThere exist many scenarios, including cartoon characters, avatars for social\nmedia, 3D face caricatures as well as face-related art and design, where\nlow-cost interactive face modeling is a popular approach especially amo...
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null
null
true
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19175
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Default
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{ "abstract": " In this paper, we consider time-inhomogeneous branching processes and\ntime-inhomogeneous birth-and-death processes, in which the offspring\ndistribution and birth and death rates (respectively) vary in time. A classical\nresult of branching processes states that in the critical regime, a process\nco...
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null
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true
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19176
null
Default
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{ "abstract": " For a compact, connected metric graphs with a boundary that consists of $k$\nvertices, we prove that an arbitrary symmetric $k\\times k$ matrix with real\nentries can be realized as the Dirichlet-to-Neumann operator for the Laplacian\nplus a constant.\n", "title": "The Dirichlet-to-Neumann operator...
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null
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true
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19177
null
Default
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{ "abstract": " The Monge-Kantorovich problem for the infinite Wasserstein distance presents\nseveral peculiarities. Among them the lack of convexity and then of a direct\nduality. We study in dimension 1 the dual problem introduced by Barron, Bocea\nand Jensen. We construct a couple of Kantorovich potentials which ...
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null
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true
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19178
null
Default
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{ "abstract": " We use a non-perturbative renormalization group approach to develop a unified\npicture of the Bose polaron problem, where a mobile impurity is strongly\ninteracting with a surrounding Bose-Einstein condensate (BEC). A detailed\ntheoretical analysis of the phase diagram is presented and the\npolaron-t...
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null
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true
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19179
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Default
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{ "abstract": " Given a tournament T and a positive integer k, the C_3-Pakcing-T problem asks\nif there exists a least k (vertex-)disjoint directed 3-cycles in T. This is the\ndual problem in tournaments of the classical minimal feedback vertex set\nproblem. Surprisingly C_3-Pakcing-T did not receive a lot of attent...
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null
null
true
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19180
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Default
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{ "abstract": " We prove Szegő-Widom asymptotics for the Chebyshev polynomials of a\ncompact subset of $\\mathbb{R}$ which is regular for potential theory and obeys\nthe Parreau-Widom and DCT conditions.\n", "title": "Asymptotics of Chebyshev Polynomials, II. DCT Subsets of $\\mathbb{R}$" }
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true
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19181
null
Default
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null
{ "abstract": " Timings of human activities are marked by circadian clocks which in turn are\nentrained to different environmental signals. In an urban environment the\npresence of artificial lighting and various social cues tend to disrupt the\nnatural entrainment with the sunlight. However, it is not completely un...
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null
null
true
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19182
null
Default
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{ "abstract": " In computational 3D geometric problems involving rotations, it is often that\npeople have to convert back and forth between a rotational matrix and a\nrotation described by an axis and a corresponding angle. For this purpose,\nRodrigues' rotation formula is a very popular expression to use because of...
null
null
[ "Computer Science" ]
null
true
null
19183
null
Validated
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null
null
{ "abstract": " Near infrared spectroscopy (NIRS) is an imaging-based diagnostic tool that\nprovides non-invasive and continuous evaluation of regional tissue oxygenation\nin real-time. In recent years, NIRS has show promise as a useful monitoring\ntechnology to help detect relative tissue ischemia that could lead t...
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null
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true
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19184
null
Default
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{ "abstract": " Generalization performance of classifiers in deep learning has recently\nbecome a subject of intense study. Deep models, typically over-parametrized,\ntend to fit the training data exactly. Despite this \"overfitting\", they perform\nwell on test data, a phenomenon not yet fully understood.\nThe firs...
null
null
[ "Statistics" ]
null
true
null
19185
null
Validated
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null
null
{ "abstract": " Measurements of element abundances in galaxies from astrophysical\nspectroscopy depend sensitively on the atomic data used. With the goal of\nmaking the latest atomic data accessible to the community, we present a\ncompilation of selected atomic data for resonant absorption lines at\nwavelengths long...
null
null
[ "Physics" ]
null
true
null
19186
null
Validated
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null
null
{ "abstract": " With the aim of getting closer to the performance of the animal\nmuscleskeletal system, elastic elements are purposefully introduced in the\nmechanical structure of soft robots. Indeed, previous works have extensively\nshown that elasticity can endow robots with the ability of performing tasks\nwith ...
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null
null
true
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19187
null
Default
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{ "abstract": " Machine learning models benefit from large and diverse datasets. Using such\ndatasets, however, often requires trusting a centralized data aggregator. For\nsensitive applications like healthcare and finance this is undesirable as it\ncould compromise patient privacy or divulge trade secrets. Recent a...
null
null
[ "Statistics" ]
null
true
null
19188
null
Validated
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null
{ "abstract": " Starting from the integral representation of the three-dimensional Coulomb\ntransition matrix elaborated by us formerly with the use of specific symmetry\nof the interaction in a four-dimensional Euclidean space introduced by Fock,\nthe possibility of the analytical solving of the integral equation f...
null
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null
null
true
null
19189
null
Default
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null
{ "abstract": " We introduce the concept of $r$-equilateral $m$-gons. We prove the existence\nof $r$-equilateral $p$-gons in $\\mathbb R^d$ if $r<d$ and the existence of\nequilateral $p$-gons in the image of continuous injective maps $f:S^d\\to\n\\mathbb R^{d+1}$. Our ideas are based mainly in the paper of Y. Soibel...
null
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null
null
true
null
19190
null
Default
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null
{ "abstract": " According to Kearnes and Oman (2013), an ordered set $P$ is \\emph{Jónsson}\nif it is infinite and the cardinality of every proper initial segment of $P$ is\nstrictly less than the cardinaliy of $P$. We examine the structure of Jónsson\nposets.\n", "title": "Jónsson posets" }
null
null
[ "Mathematics" ]
null
true
null
19191
null
Validated
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null
null
{ "abstract": " Drawing on some recent results that provide the formalism necessary to\ndefinite stationarity for infinite random graphs, this paper initiates the\nstudy of statistical and learning questions pertaining to these objects.\nSpecifically, a criterion for the existence of a consistent test for complex\nh...
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null
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true
null
19192
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Default
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null
{ "abstract": " In the current article our primary objects of study are compact complex\nsubmanifolds of quotient manifolds of irreducible bounded symmetric domains by\ntorsion free discrete lattices of automorphisms. We are interested in the\ncharacterization of the totally geodesic submanifolds among compact split...
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null
null
true
null
19193
null
Default
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null
{ "abstract": " A third-order three-dimensional symmetric traceless tensor, called the\n\\emph{octupolar} tensor, has been introduced to study tetrahedratic nematic\nphases in liquid crystals. The octupolar \\emph{potential}, a scalar-valued\nfunction generated on the unit sphere by that tensor, should ideally have ...
null
null
null
null
true
null
19194
null
Default
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null
null
{ "abstract": " Strang splitting is a well established tool for the numerical integration of\nevolution equations. It allows the application of tailored integrators for\ndifferent parts of the vector field. However, it is also prone to order\nreduction in the case of non-trivial boundary conditions. This order reduc...
null
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null
null
true
null
19195
null
Default
null
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null
{ "abstract": " In this paper, we introduce a new class of nonsmooth convex functions called\nSOS-convex semialgebraic functions extending the recently proposed notion of\nSOS-convex polynomials. This class of nonsmooth convex functions covers many\ncommon nonsmooth functions arising in the applications such as the ...
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null
null
true
null
19196
null
Default
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null
{ "abstract": " We derive a Cramér-Rao lower bound for the variance of Floquet multiplier\nestimates that have been constructed from stable limit cycles perturbed by\nnoise. To do so, we consider perturbed periodic orbits in the plane. We use a\nperiodic autoregressive process to model the intersections of these orb...
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null
null
null
true
null
19197
null
Default
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null
{ "abstract": " Lack of moderation in online communities enables participants to incur in\npersonal aggression, harassment or cyberbullying, issues that have been\naccentuated by extremist radicalisation in the contemporary post-truth politics\nscenario. This kind of hostility is usually expressed by means of toxic\...
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null
null
true
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19198
null
Default
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{ "abstract": " We develop numerical tools for Diagrammatic Monte-Carlo simulations of\nnon-Abelian lattice field theories in the t'Hooft large-N limit based on the\nweak-coupling expansion. First we note that the path integral measure of such\ntheories contributes a bare mass term in the effective action which is\n...
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null
null
true
null
19199
null
Default
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null
{ "abstract": " There is an increasing interest on accelerating neural networks for real-time\napplications. We study the student-teacher strategy, in which a small and fast\nstudent network is trained with the auxiliary information learned from a large\nand accurate teacher network. We propose to use conditional ad...
null
null
[ "Computer Science" ]
null
true
null
19200
null
Validated
null
null