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{ "abstract": " One of the popular approaches for low-rank tensor completion is to use the\nlatent trace norm regularization. However, most existing works in this\ndirection learn a sparse combination of tensors. In this work, we fill this gap\nby proposing a variant of the latent trace norm that helps in learning a...
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{ "abstract": " Nous tentons dans cet article de proposer une thèse cohérente concernant\nla formation de la notion d'involution dans le Brouillon Project de Desargues.\nPour cela, nous donnons une analyse détaillée des dix premières pages\ndudit Brouillon, comprenant les développements de cas particuliers qui aiden...
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{ "abstract": " X-ray computed tomography (CT) using sparse projection views is a recent\napproach to reduce the radiation dose. However, due to the insufficient\nprojection views, an analytic reconstruction approach using the filtered back\nprojection (FBP) produces severe streaking artifacts. Recently, deep learni...
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{ "abstract": " A singular (or Hermann) foliation on a smooth manifold $M$ can be seen as a\nsubsheaf of the sheaf $\\mathfrak{X}$ of vector fields on $M$. We show that if\nthis singular foliation admits a resolution (in the sense of sheaves)\nconsisting of sections of a graded vector bundle of finite type, then one...
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{ "abstract": " The Weyl semimetal phase is a recently discovered topological quantum state\nof matter characterized by the presence of topologically protected degeneracies\nnear the Fermi level. These degeneracies are the source of exotic phenomena,\nincluding the realization of chiral Weyl fermions as quasiparticl...
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{ "abstract": " A sequence of pathological changes takes place in Alzheimer's disease, which\ncan be assessed in vivo using various brain imaging methods. Currently, there\nis no appropriate statistical model available that can easily integrate\nmultiple imaging modalities, being able to utilize the additional infor...
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{ "abstract": " This work bridges the technical concepts underlying distributed computing and\nblockchain technologies with their profound socioeconomic and sociopolitical\nimplications, particularly on academic research and the healthcare industry.\nSeveral examples from academia, industry, and healthcare are explo...
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{ "abstract": " Fragility curves are commonly used in civil engineering to assess the\nvulnerability of structures to earthquakes. The probability of failure\nassociated with a prescribed criterion (e.g. the maximal inter-storey drift of\na building exceeding a certain threshold) is represented as a function of the\...
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{ "abstract": " We consider continuous-time Markov chains which display a family of wells at\nthe same depth. We provide sufficient conditions which entail the convergence\nof the finite-dimensional distributions of the order parameter to the ones of a\nfinite state Markov chain. We also show that the state of the p...
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{ "abstract": " We construct embedded minimal surfaces which are $n$-periodic in\n$\\mathbb{R}^n$. They are new for codimension $n-2\\ge 2$. We start with a Jordan\ncurve of edges of the $n$-dimensional cube. It bounds a Plateau minimal disk\nwhich Schwarz reflection extends to a complete minimal surface. Studying t...
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{ "abstract": " We report the discovery of three small transiting planets orbiting GJ 9827, a\nbright (K = 7.2) nearby late K-type dwarf star. GJ 9827 hosts a $1.62\\pm0.11$\n$R_{\\rm \\oplus}$ super Earth on a 1.2 day period, a $1.269^{+0.087}_{-0.089}$\n$R_{\\rm \\oplus}$ super Earth on a 3.6 day period, and a $2....
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{ "abstract": " We define a family of quantum invariants of closed oriented $3$-manifolds\nusing spherical multi-fusion categories. The state sum nature of this invariant\nleads directly to $(2+1)$-dimensional topological quantum field theories\n($\\text{TQFT}$s), which generalize the Turaev-Viro-Barrett-Westbury\n(...
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{ "abstract": " We propose Sparse Neural Network architectures that are based on random or\nstructured bipartite graph topologies. Sparse architectures provide compression\nof the models learned and speed-ups of computations, they can also surpass\ntheir unstructured or fully connected counterparts. As we show, even...
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[ "Computer Science", "Statistics" ]
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{ "abstract": " Computer vision has made remarkable progress in recent years. Deep neural\nnetwork (DNN) models optimized to identify objects in images exhibit\nunprecedented task-trained accuracy and, remarkably, some generalization\nability: new visual problems can now be solved more easily based on previous\nlear...
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{ "abstract": " A numerical analysis of heat conduction through the cover plate of a heat\npipe is carried out to determine the temperature of the working substance,\naverage temperature of heating and cooling surfaces, heat spread in the\ntransmitter, and the heat bypass through the cover plate. Analysis has been\n...
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[ "Physics" ]
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{ "abstract": " This paper provides short proofs of two fundamental theorems of finite\nsemigroup theory whose previous proofs were significantly longer, namely the\ntwo-sided Krohn-Rhodes decomposition theorem and Henckell's aperiodic pointlike\ntheorem, using a new algebraic technique that we call the merge decomp...
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{ "abstract": " Nefarious actors on social media and other platforms often spread rumors and\nfalsehoods through images whose metadata (e.g., captions) have been modified to\nprovide visual substantiation of the rumor/falsehood. This type of modification\nis referred to as image repurposing, in which often an unmani...
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{ "abstract": " Recent advances in adversarial Deep Learning (DL) have opened up a largely\nunexplored surface for malicious attacks jeopardizing the integrity of\nautonomous DL systems. With the wide-spread usage of DL in critical and\ntime-sensitive applications, including unmanned vehicles, drones, and video\nsur...
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{ "abstract": " Users form information trails as they browse the web, checkin with a\ngeolocation, rate items, or consume media. A common problem is to predict what\na user might do next for the purposes of guidance, recommendation, or\nprefetching. First-order and higher-order Markov chains have been widely used\nm...
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{ "abstract": " We analyze two novel randomized variants of the Frank-Wolfe (FW) or\nconditional gradient algorithm. While classical FW algorithms require solving a\nlinear minimization problem over the domain at each iteration, the proposed\nmethod only requires to solve a linear minimization problem over a small\n...
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{ "abstract": " In this paper, we prove a mean value formula for bounded subharmonic\nHermitian matrix valued function on a complete Riemannian manifold with\nnonnegative Ricci curvature. As its application, we obtain a Liouville type\ntheorem for the complex Monge-Ampère equation on product manifolds.\n", "title"...
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{ "abstract": " In this work, we investigate the value of uncertainty modeling in 3D\nsuper-resolution with convolutional neural networks (CNNs). Deep learning has\nshown success in a plethora of medical image transformation problems, such as\nsuper-resolution (SR) and image synthesis. However, the highly ill-posed ...
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[ "Computer Science" ]
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{ "abstract": " Superconductor-Ferromagnet (SF) heterostructures are of interest due to\nnumerous phenomena related to the spin-dependent interaction of Cooper pairs\nwith the magnetization. Here we address the effects of a magnetic insulator on\nthe density of states of a superconductor based on a recently develope...
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[ "Physics" ]
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{ "abstract": " We present the first general purpose framework for marginal maximum a\nposteriori estimation of probabilistic program variables. By using a series of\ncode transformations, the evidence of any probabilistic program, and therefore\nof any graphical model, can be optimized with respect to an arbitrary ...
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{ "abstract": " Long-term load forecasting plays a vital role for utilities and planners in\nterms of grid development and expansion planning. An overestimate of long-term\nelectricity load will result in substantial wasted investment in the\nconstruction of excess power facilities, while an underestimate of future ...
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{ "abstract": " Many empirical studies document power law behavior in size distributions of\neconomic interest such as cities, firms, income, and wealth. One mechanism for\ngenerating such behavior combines independent and identically distributed\nGaussian additive shocks to log-size with a geometric age distributio...
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[ "Mathematics" ]
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{ "abstract": " In topological quantum computing, information is encoded in \"knotted\" quantum\nstates of topological phases of matter, thus being locked into topology to\nprevent decay. Topological precision has been confirmed in quantum Hall liquids\nby experiments to an accuracy of $10^{-10}$, and harnessed to s...
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[ "Physics", "Mathematics" ]
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{ "abstract": " $ \\def\\vecc#1{\\boldsymbol{#1}} $We design a polynomial time algorithm that\nfor any weighted undirected graph $G = (V, E,\\vecc w)$ and sufficiently large\n$\\delta > 1$, partitions $V$ into subsets $V_1, \\ldots, V_h$ for some $h\\geq\n1$, such that\n$\\bullet$ at most $\\delta^{-1}$ fraction of ...
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{ "abstract": " Self-supervised learning (SSL) is a reliable learning mechanism in which a\nrobot enhances its perceptual capabilities. Typically, in SSL a trusted,\nprimary sensor cue provides supervised training data to a secondary sensor cue.\nIn this article, a theoretical analysis is performed on the fusion of ...
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{ "abstract": " Deep reinforcement learning on Atari games maps pixel directly to actions;\ninternally, the deep neural network bears the responsibility of both extracting\nuseful information and making decisions based on it. Aiming at devoting entire\ndeep networks to decision making alone, we propose a new method ...
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{ "abstract": " We consider the problem of isotonic regression, where the underlying signal\n$x$ is assumed to satisfy a monotonicity constraint, that is, $x$ lies in the\ncone $\\{ x\\in\\mathbb{R}^n : x_1 \\leq \\dots \\leq x_n\\}$. We study the isotonic\nprojection operator (projection to this cone), and find a n...
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{ "abstract": " Heating, Ventilation, and Cooling (HVAC) systems are often the most\nsignificant contributor to the energy usage, and the operational cost, of large\noffice buildings. Therefore, to understand the various factors affecting the\nenergy usage, and to optimize the operational efficiency of building HVAC...
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{ "abstract": " In this paper, we consider the problem of identifying the type (local\nminimizer, maximizer or saddle point) of a given isolated real critical point\n$c$, which is degenerate, of a multivariate polynomial function $f$. To this\nend, we introduce the definition of faithful radius of $c$ by means of th...
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{ "abstract": " Identification of patients at high risk for readmission could help reduce\nmorbidity and mortality as well as healthcare costs. Most of the existing\nstudies on readmission prediction did not compare the contribution of data\ncategories. In this study we analyzed relative contribution of 90,101 varia...
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{ "abstract": " Tropical recurrent sequences are introduced satisfying a given vector (being\na tropical counterpart of classical linear recurrent sequences). We consider\nthe case when Newton polygon of the vector has a single (bounded) edge. In this\ncase there are periodic tropical recurrent sequences which are s...
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{ "abstract": " An interesting approach to analyzing neural networks that has received\nrenewed attention is to examine the equivalent kernel of the neural network.\nThis is based on the fact that a fully connected feedforward network with one\nhidden layer, a certain weight distribution, an activation function, and...
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{ "abstract": " We explore whether useful temporal neural generative models can be learned\nfrom sequential data without back-propagation through time. We investigate the\nviability of a more neurocognitively-grounded approach in the context of\nunsupervised generative modeling of sequences. Specifically, we build o...
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{ "abstract": " Kitaev quantum spin liquid is a topological magnetic quantum state\ncharacterized by Majorana fermions of fractionalized spin excitations, which\nare identical to their own antiparticles. Here, we demonstrate emergence of\nMajorana fermions thermally fractionalized in the Kitaev honeycomb spin lattic...
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{ "abstract": " Identifying the mechanism by which high energy Lyman continuum (LyC) photons\nescaped from early galaxies is one of the most pressing questions in cosmic\nevolution. Haro 11 is the best known local LyC leaking galaxy, providing an\nimportant opportunity to test our understanding of LyC escape. The ob...
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{ "abstract": " Dependently typed languages such as Coq are used to specify and verify the\nfull functional correctness of source programs. Type-preserving compilation can\nbe used to preserve these specifications and proofs of correctness through\ncompilation into the generated target-language programs. Unfortunate...
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{ "abstract": " Any generic closed curve in the plane can be transformed into a simple closed\ncurve by a finite sequence of local transformations called homotopy moves. We\nprove that simplifying a planar closed curve with $n$ self-crossings requires\n$\\Theta(n^{3/2})$ homotopy moves in the worst case. Our algorit...
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[ "Computer Science", "Mathematics" ]
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{ "abstract": " Consider a channel with a given input distribution. Our aim is to degrade it\nto a channel with at most L output letters. One such degradation method is the\nso called \"greedy-merge\" algorithm. We derive an upper bound on the reduction\nin mutual information between input and output. For fixed inpu...
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{ "abstract": " Let $L_0$ and $L_1$ be two distinct rays emanating from the origin and let\n${\\mathcal F}$ be the family of all functions holomorphic in the unit disk\n${\\mathbb D}$ for which all zeros lie on $L_0$ while all $1$-points lie on\n$L_1$. It is shown that ${\\mathcal F}$ is normal in ${\\mathbb\nD}\\ba...
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{ "abstract": " A habitable exoplanet is a world that can maintain stable liquid water on its\nsurface. Techniques and approaches to characterizing such worlds are essential,\nas performing a census of Earth-like planets that may or may not have life will\ninform our understanding of how frequently life originates a...
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[ "Physics" ]
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{ "abstract": " In this paper, we evaluate the accuracy of deep learning approaches on\ngeospatial vector geometry classification tasks. The purpose of this evaluation\nis to investigate the ability of deep learning models to learn from geometry\ncoordinates directly. Previous machine learning research applied to ge...
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{ "abstract": " The distance standard deviation, which arises in distance correlation\nanalysis of multivariate data, is studied as a measure of spread. New\nrepresentations for the distance standard deviation are obtained in terms of\nGini's mean difference and in terms of the moments of spacings of order\nstatisti...
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[ "Mathematics", "Statistics" ]
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{ "abstract": " One of the most basic skills a robot should possess is predicting the effect\nof physical interactions with objects in the environment. This enables optimal\naction selection to reach a certain goal state. Traditionally, dynamics are\napproximated by physics-based analytical models. These models rely...
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{ "abstract": " In this paper, we give a complete characterization of Leavitt path algebras\nwhich are graded $\\Sigma $-$V$ rings, that is, rings over which a direct sum of\narbitrary copies of any graded simple module is graded injective. Specifically,\nwe show that a Leavitt path algebra $L$ over an arbitrary gra...
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{ "abstract": " We derive the mean squared error convergence rates of kernel density-based\nplug-in estimators of mutual information measures between two multidimensional\nrandom variables $\\mathbf{X}$ and $\\mathbf{Y}$ for two cases: 1) $\\mathbf{X}$\nand $\\mathbf{Y}$ are both continuous; 2) $\\mathbf{X}$ is cont...
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{ "abstract": " Widespread use of social media has led to the generation of substantial\namounts of information about individuals, including health-related information.\nSocial media provides the opportunity to study health-related information about\nselected population groups who may be of interest for a particular...
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{ "abstract": " The vortex method is a common numerical and theoretical approach used to\nimplement the motion of an ideal flow, in which the vorticity is approximated\nby a sum of point vortices, so that the Euler equations read as a system of\nordinary differential equations. Such a method is well justified in the...
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[ "Mathematics" ]
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true
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351
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Validated
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{ "abstract": " Let $R$ be an associative ring with unit and denote by $K({\\rm R\n\\mbox{-}Proj})$ the homotopy category of complexes of projective left\n$R$-modules. Neeman proved the theorem that $K({\\rm R \\mbox{-}Proj})$ is\n$\\aleph_1$-compactly generated, with the category $K^+ ({\\rm R \\mbox{-}proj})$\nof ...
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{ "abstract": " For an arbitrary finite family of semi-algebraic/definable functions, we\nconsider the corresponding inequality constraint set and we study qualification\nconditions for perturbations of this set. In particular we prove that all\npositive diagonal perturbations, save perhaps a finite number of them, ...
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{ "abstract": " Riemannian geometry is a particular case of Hamiltonian mechanics: the orbits\nof the hamiltonian $H=\\frac{1}{2}g^{ij}p_{i}p_{j}$ are the geodesics. Given a\nsymplectic manifold (\\Gamma,\\omega), a hamiltonian $H:\\Gamma\\to\\mathbb{R}$ and\na Lagrangian sub-manifold $M\\subset\\Gamma$ we find a ge...
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{ "abstract": " We investigate how a neural network can learn perception actions loops for\nnavigation in unknown environments. Specifically, we consider how to learn to\nnavigate in environments populated with cul-de-sacs that represent convex local\nminima that the robot could fall into instead of finding a set of...
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{ "abstract": " In this paper, we present a combinatorial approach to the opposite 2-variable\nbi-free partial $S$-transforms where the opposite multiplication is used on the\nright. In addition, extensions of this partial $S$-transforms to the\nconditional bi-free and operator-valued bi-free settings are discussed....
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{ "abstract": " Many giant exoplanets are found near their Roche limit and in mildly\neccentric orbits. In this study we examine the fate of such planets through\nRoche-lobe overflow as a function of the physical properties of the binary\ncomponents, including the eccentricity and the asynchronicity of the rotating\...
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{ "abstract": " A new Short-Orbit Spectrometer (SOS) has been constructed and installed\nwithin the experimental facility of the A1 collaboration at Mainz Microtron\n(MAMI), with the goal to detect low-energy pions. It is equipped with a\nBrowne-Buechner magnet and a detector system consisting of two helium-ethane\n...
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{ "abstract": " Capacitive deionization (CDI) is a fast-emerging water desalination\ntechnology in which a small cell voltage of ~1 V across porous carbon\nelectrodes removes salt from feedwaters via electrosorption. In flow-through\nelectrode (FTE) CDI cell architecture, feedwater is pumped through macropores\nor l...
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{ "abstract": " We present bilateral teleoperation system for task learning and robot motion\ngeneration. Our system includes a bilateral teleoperation platform and a deep\nlearning software. The deep learning software refers to human demonstration\nusing the bilateral teleoperation platform to collect visual images...
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{ "abstract": " We propose two multimodal deep learning architectures that allow for\ncross-modal dataflow (XFlow) between the feature extractors, thereby extracting\nmore interpretable features and obtaining a better representation than through\nunimodal learning, for the same amount of training data. These models ...
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[ "Computer Science", "Statistics" ]
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{ "abstract": " Educational research has shown that narratives are useful tools that can help\nyoung students make sense of scientific phenomena. Based on previous research,\nI argue that narratives can also become tools for high school students to make\nsense of concepts such as the electric field. In this paper I ...
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{ "abstract": " Hospital acquired infections (HAI) are infections acquired within the\nhospital from healthcare workers, patients or from the environment, but which\nhave no connection to the initial reason for the patient's hospital admission.\nHAI are a serious world-wide problem, leading to an increase in mortali...
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{ "abstract": " We advocate the use of curated, comprehensive benchmark suites of machine\nlearning datasets, backed by standardized OpenML-based interfaces and\ncomplementary software toolkits written in Python, Java and R. Major\ndistinguishing features of OpenML benchmark suites are (a) ease of use through\nstand...
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{ "abstract": " In this article, we study orbifold constructions associated with the Leech\nlattice vertex operator algebra. As an application, we prove that the structure\nof a strongly regular holomorphic vertex operator algebra of central charge\n$24$ is uniquely determined by its weight one Lie algebra if the Li...
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{ "abstract": " Deconstruction of the theme of the 2017 FQXi essay contest is already an\ninteresting exercise in its own right: Teleology is rarely useful in physics\n--- the only known mainstream physics example (black hole event horizons) has a\nvery mixed score-card --- so the \"goals\" and \"aims and intentions...
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{ "abstract": " The Atacama Large millimetre/submillimetre Array (ALMA) makes use of water\nvapour radiometers (WVR), which monitor the atmospheric water vapour line at\n183 GHz along the line of sight above each antenna to correct for phase delays\nintroduced by the wet component of the troposphere. The application...
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{ "abstract": " In this paper, we study the $\\mu$-ordinary locus of a Shimura variety with\nparahoric level structure. Under the axioms in \\cite{HR}, we show that\n$\\mu$-ordinary locus is a union of some maximal Ekedahl-Kottwitz-Oort-Rapoport\nstrata introduced in \\cite{HR} and we give criteria on the density of...
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{ "abstract": " Charts are an excellent way to convey patterns and trends in data, but they\ndo not facilitate further modeling of the data or close inspection of\nindividual data points. We present a fully automated system for extracting the\nnumerical values of data points from images of scatter plots. We use deep...
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{ "abstract": " We consider a modification to the standard cosmological history consisting of\nintroducing a new species $\\phi$ whose energy density red-shifts with the scale\nfactor $a$ like $\\rho_\\phi \\propto a^{-(4+n)}$. For $n>0$, such a red-shift is\nfaster than radiation, hence the new species dominates th...
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{ "abstract": " We describe the configuration space $\\mathbf{S}$ of polygons with prescribed\nedge slopes, and study the perimeter $\\mathcal{P}$ as a Morse function on\n$\\mathbf{S}$. We characterize critical points of $\\mathcal{P}$ (these are\n\\textit{tangential} polygons) and compute their Morse indices. This ...
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{ "abstract": " This paper discusses a Metropolis-Hastings algorithm developed by\n\\citeA{MarsmanIsing}. The algorithm is derived from first principles, and it is\nproven that the algorithm becomes more efficient with more data and meets the\ngrowing demands of large scale educational measurement.\n", "title": "A...
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{ "abstract": " Luke P. Lee is a Tan Chin Tuan Centennial Professor at the National\nUniversity of Singapore. In this contribution he describes the power of\noptofluidics as a research tool and reviews new insights within the areas of\nsingle cell analysis, microphysiological analysis, and integrated systems.\n", ...
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{ "abstract": " Topology has appeared in different physical contexts. The most prominent\napplication is topologically protected edge transport in condensed matter\nphysics. The Chern number, the topological invariant of gapped Bloch\nHamiltonians, is an important quantity in this field. Another example of\ntopology...
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{ "abstract": " We study the scale and tidy subgroups of an endomorphism of a totally\ndisconnected locally compact group using a geometric framework. This leads to\nnew interpretations of tidy subgroups and the scale function. Foremost, we\nobtain a geometric tidying procedure which applies to endomorphisms as well...
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{ "abstract": " The coupled exciton-vibrational dynamics of a three-site model of the FMO\ncomplex is investigated using the Multi-layer Multi-configuration\nTime-dependent Hartree (ML-MCTDH) approach. Emphasis is put on the effect of\nthe spectral density on the exciton state populations as well as on the\nvibratio...
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{ "abstract": " In the first part of this work we show the convergence with respect to an\nasymptotic parameter {\\epsilon} of a delayed heat equation. It represents a\nmathematical extension of works considered previously by the authors [Milisic\net al. 2011, Milisic et al. 2016]. Namely, this is the first result i...
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{ "abstract": " We study the Nonparametric Maximum Likelihood Estimator (NPMLE) for\nestimating Gaussian location mixture densities in $d$-dimensions from\nindependent observations. Unlike usual likelihood-based methods for fitting\nmixtures, NPMLEs are based on convex optimization. We prove finite sample\nresults o...
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{ "abstract": " Parametric resonance is among the most efficient phenomena generating\ngravitational waves (GWs) in the early Universe. The dynamics of parametric\nresonance, and hence of the GWs, depend exclusively on the resonance parameter\n$q$. The latter is determined by the properties of each scenario: the ini...
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[ "Physics" ]
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379
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{ "abstract": " The 1+1 REMPI spectrum of SiO in the 210-220 nm range is recorded. Observed\nbands are assigned to the $A-X$ vibrational bands $(v``=0-3, v`=5-10)$ and a\ntentative assignment is given to the 2-photon transition from $X$ to the\nn=12-13 $[X^{2}{\\Sigma}^{+},v^{+}=1]$ Rydberg states at 216-217 nm. We ...
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{ "abstract": " Robots and automated systems are increasingly being introduced to unknown and\ndynamic environments where they are required to handle disturbances, unmodeled\ndynamics, and parametric uncertainties. Robust and adaptive control strategies\nare required to achieve high performance in these dynamic envi...
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{ "abstract": " With the use of ontologies in several domains such as semantic web,\ninformation retrieval, artificial intelligence, the concept of similarity\nmeasuring has become a very important domain of research. Therefore, in the\ncurrent paper, we propose our method of similarity measuring which uses the\nDij...
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{ "abstract": " In this short note, we present a novel method for computing exact lower and\nupper bounds of eigenvalues of a symmetric tridiagonal interval matrix.\nCompared to the known methods, our approach is fast, simple to present and to\nimplement, and avoids any assumptions. Our construction explicitly yield...
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[ "Computer Science" ]
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383
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{ "abstract": " Visualizing a complex network is computationally intensive process and\ndepends heavily on the number of components in the network. One way to solve\nthis problem is not to render the network in real time. PRE-render Content\nUsing Tiles (PRECUT) is a process to convert any complex network into a\npr...
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{ "abstract": " We prove that every triangle-free graph with maximum degree $\\Delta$ has list\nchromatic number at most $(1+o(1))\\frac{\\Delta}{\\ln \\Delta}$. This matches the\nbest-known bound for graphs of girth at least 5. We also provide a new proof\nthat for any $r\\geq 4$ every $K_r$-free graph has list-chr...
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[ "Mathematics" ]
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385
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{ "abstract": " We study the two-dimensional topology of the galactic distribution when\nprojected onto two-dimensional spherical shells. Using the latest Horizon Run 4\nsimulation data, we construct the genus of the two-dimensional field and\nconsider how this statistic is affected by late-time nonlinear effects --...
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{ "abstract": " The new index of the author's popularity estimation is represented in the\npaper. The index is calculated on the basis of Wikipedia encyclopedia analysis\n(Wikipedia Index - WI). Unlike the conventional existed citation indices, the\nsuggested mark allows to evaluate not only the popularity of the au...
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[ "Computer Science" ]
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387
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{ "abstract": " We compute the genus 0 Belyi map for the sporadic Janko group J1 of degree\n266 and describe the applied method. This yields explicit polynomials having J1\nas a Galois group over K(t), [K:Q] = 7.\n", "title": "Belyi map for the sporadic group J1" }
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{ "abstract": " Our goal is to find classes of convolution semigroups on Lie groups $G$ that\ngive rise to interesting processes in symmetric spaces $G/K$. The\n$K$-bi-invariant convolution semigroups are a well-studied example. An\nappealing direction for the next step is to generalise to right $K$-invariant\nconvo...
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{ "abstract": " CMO Council reports that 71\\% of internet users in the U.S. were influenced\nby coupons and discounts when making their purchase decisions. It has also been\nshown that offering coupons to a small fraction of users (called seed users)\nmay affect the purchase decisions of many other users in a socia...
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{ "abstract": " We prove the Lefschetz duality for intersection (co)homology in the framework\nof $\\partial$-pesudomanifolds. We work with general perversities and without\nrestriction on the coefficient ring.\n", "title": "Lefschetz duality for intersection (co)homology" }
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{ "abstract": " All possible removals of $n=5$ nodes from networks of size $N=100$ are\nperformed in order to find the optimal set of nodes which fragments the\noriginal network into the smallest largest connected component. The resulting\nattacks are ordered according to the size of the largest connected component\...
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{ "abstract": " In this paper, we study stochastic non-convex optimization with non-convex\nrandom functions. Recent studies on non-convex optimization revolve around\nestablishing second-order convergence, i.e., converging to a nearly\nsecond-order optimal stationary points. However, existing results on stochastic\...
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{ "abstract": " Lower bounds on the smallest eigenvalue of a symmetric positive definite\nmatrices $A\\in\\mathbb{R}^{m\\times m}$ play an important role in condition\nnumber estimation and in iterative methods for singular value computation. In\nparticular, the bounds based on ${\\rm Tr}(A^{-1})$ and ${\\rm Tr}(A^{...
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{ "abstract": " This paper describes the development of a magnetic attitude control subsystem\nfor a 2U cubesat. Due to the presence of gravity gradient torques, the\nsatellite dynamics are open-loop unstable near the desired pointing\nconfiguration. Nevertheless the linearized time-varying system is completely\ncon...
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{ "abstract": " One advantage of decision tree based methods like random forests is their\nability to natively handle categorical predictors without having to first\ntransform them (e.g., by using feature engineering techniques). However, in\nthis paper, we show how this capability can lead to an inherent \"absent l...
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[ "Computer Science", "Statistics" ]
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396
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{ "abstract": " For decades, conventional computers based on the von Neumann architecture\nhave performed computation by repeatedly transferring data between their\nprocessing and their memory units, which are physically separated. As\ncomputation becomes increasingly data-centric and as the scalability limits in\nt...
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{ "abstract": " We generalise some well-known graph parameters to operator systems by\nconsidering their underlying quantum channels. In particular, we introduce the\nquantum complexity as the dimension of the smallest co-domain Hilbert space a\nquantum channel requires to realise a given operator system as its\nnon...
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{ "abstract": " During the ionization of atoms irradiated by linearly polarized intense laser\nfields, we find for the first time that the transverse momentum distribution of\nphotoelectrons can be well fitted by a squared zeroth-order Bessel function\nbecause of the quantum interference effect of Glory rescattering...
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{ "abstract": " We are interested in extending operators defined on positive measures, called\nhere transfunctions, to signed measures and vector measures. Our methods use a\nsomewhat nonstandard approach to measures and vector measures. The necessary\nbackground, including proofs of some auxiliary results, is inclu...
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