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Title: The heat trace for the drifting Laplacian and Schrödinger operators on manifolds, Abstract: We study the heat trace for both the drifting Laplacian as well as Schrödinger operators on compact Riemannian manifolds. In the case of a finite regularity potential or weight function, we prove the existence of a partia...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: Generative Adversarial Networks for Black-Box API Attacks with Limited Training Data, Abstract: As online systems based on machine learning are offered to public or paid subscribers via application programming interfaces (APIs), they become vulnerable to frequent exploits and attacks. This paper studies adversar...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Coloring ($P_6$, diamond, $K_4$)-free graphs, Abstract: We show that every ($P_6$, diamond, $K_4$)-free graph is $6$-colorable. Moreover, we give an example of a ($P_6$, diamond, $K_4$)-free graph $G$ with $\chi(G) = 6$. This generalizes some known results in the literature.
[ 1, 0, 0, 0, 0, 0 ]
[ "Mathematics" ]
Title: Origin of meteoritic stardust unveiled by a revised proton-capture rate of $^{17}$O, Abstract: Stardust grains recovered from meteorites provide high-precision snapshots of the isotopic composition of the stellar environment in which they formed. Attributing their origin to specific types of stars, however, ofte...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: Some Connections Between Cycles and Permutations that Fix a Set and Touchard Polynomials and Covers of Multisets, Abstract: We present a new proof of a fundamental result concerning cycles of random permutations which gives some intuition for the connection between Touchard polynomials and the Poisson distributi...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Strong Functional Representation Lemma and Applications to Coding Theorems, Abstract: This paper shows that for any random variables $X$ and $Y$, it is possible to represent $Y$ as a function of $(X,Z)$ such that $Z$ is independent of $X$ and $I(X;Z|Y)\le\log(I(X;Y)+1)+4$ bits. We use this strong functional repr...
[ 1, 0, 1, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations, Abstract: We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per a fundamental cell. We also revisit the existence proof for the Abrikosov vortex lattic...
[ 0, 0, 1, 0, 0, 0 ]
[ "Physics", "Mathematics" ]
Title: A Survey on the Adoption of Cloud Computing in Education Sector, Abstract: Education is a key factor in ensuring economic growth, especially for countries with growing economies. Today, students have become more technologically savvy as teaching and learning uses more advance technology day in, day out. Due to v...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: Deep Neural Networks as Gaussian Processes, Abstract: It has long been known that a single-layer fully-connected neural network with an i.i.d. prior over its parameters is equivalent to a Gaussian process (GP), in the limit of infinite network width. This correspondence enables exact Bayesian inference for infin...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics", "Mathematics" ]
Title: The Brown-Peterson spectrum is not $E_{2(p^2+2)}$ at odd primes, Abstract: Recently, Lawson has shown that the 2-primary Brown-Peterson spectrum does not admit the structure of an $E_{12}$ ring spectrum, thus answering a question of May in the negative. We extend Lawson's result to odd primes by proving that the...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: A depth-based method for functional time series forecasting, Abstract: An approach is presented for making predictions about functional time series. The method is applied to data coming from periodically correlated processes and electricity demand, obtaining accurate point forecasts and narrow prediction bands t...
[ 0, 0, 0, 1, 0, 0 ]
[ "Statistics", "Mathematics" ]
Title: Sterile Neutrinos and B-L Symmetry, Abstract: We revisit the relation between the neutrino masses and the spontaneous breaking of the B-L gauge symmetry. We discuss the main scenarios for Dirac and Majorana neutrinos and point out two simple mechanisms for neutrino masses. In this context the neutrino masses can...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: A computer-based recursion algorithm for automatic charge of power device of electric vehicles carrying electromagnet, Abstract: This paper proposes a computer-based recursion algorithm for automatic charge of power device of electric vehicles carrying electromagnet. The charging system includes charging cable w...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: A Divergence Bound for Hybrids of MCMC and Variational Inference and an Application to Langevin Dynamics and SGVI, Abstract: Two popular classes of methods for approximate inference are Markov chain Monte Carlo (MCMC) and variational inference. MCMC tends to be accurate if run for a long enough time, while varia...
[ 1, 0, 0, 1, 0, 0 ]
[ "Statistics", "Mathematics", "Computer Science" ]
Title: On Some properties of dyadic operators, Abstract: In this paper, the objects of our investigation are some dyadic operators, including dyadic shifts, multilinear paraproducts and multilinear Haar multipliers. We mainly focus on the continuity and compactness of these operators. First, we consider the continuity ...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Nonlocal Nonlinear Schrödinger Equations and Their Soliton Solutions, Abstract: We study standard and nonlocal nonlinear Schrödinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standard and nonlocal reductions respectively. By using the...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics", "Mathematics" ]
Title: Tracking network dynamics: a survey of distances and similarity metrics, Abstract: From longitudinal biomedical studies to social networks, graphs have emerged as a powerful framework for describing evolving interactions between agents in complex systems. In such studies, after pre-processing, the data can be re...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Machine learning for classification and quantification of monoclonal antibody preparations for cancer therapy, Abstract: Monoclonal antibodies constitute one of the most important strategies to treat patients suffering from cancers such as hematological malignancies and solid tumors. In order to guarantee the qu...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Statistics", "Quantitative Biology" ]
Title: Observation of Skyrmions at Room Temperature in Co2FeAl Heusler Alloy Ultrathin Films, Abstract: Magnetic skyrmions are topological spin structures having immense potential for energy efficient spintronic devices. However, observations of skyrmions at room temperature are limited to patterned nanostructures. Her...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: Bayesian Nonparametric Spectral Estimation, Abstract: Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are available, where curren...
[ 0, 0, 0, 1, 0, 0 ]
[ "Statistics", "Mathematics", "Computer Science" ]
Title: Imprecise dynamic walking with time-projection control, Abstract: We present a new walking foot-placement controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions of the...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: A Hand Combining Two Simple Grippers to Pick up and Arrange Objects for Assembly, Abstract: This paper proposes a novel robotic hand design for assembly tasks. The idea is to combine two simple grippers -- an inner gripper which is used for precise alignment, and an outer gripper which is used for stable holding...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: Second sound in systems of one-dimensional fermions, Abstract: We study sound in Galilean invariant systems of one-dimensional fermions. At low temperatures, we find a broad range of frequencies in which in addition to the waves of density there is a second sound corresponding to ballistic propagation of heat in...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: The equational theory of the natural join and inner union is decidable, Abstract: The natural join and the inner union operations combine relations of a database. Tropashko and Spight [24] realized that these two operations are the meet and join operations in a class of lattices, known by now as the relational l...
[ 1, 0, 1, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: A robotic vision system to measure tree traits, Abstract: The autonomous measurement of tree traits, such as branching structure, branch diameters, branch lengths, and branch angles, is required for tasks such as robotic pruning of trees as well as structural phenotyping. We propose a robotic vision system calle...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: Toward Unsupervised Text Content Manipulation, Abstract: Controlled generation of text is of high practical use. Recent efforts have made impressive progress in generating or editing sentences with given textual attributes (e.g., sentiment). This work studies a new practical setting of text content manipulation....
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Unsupervised learning of object landmarks by factorized spatial embeddings, Abstract: Learning automatically the structure of object categories remains an important open problem in computer vision. In this paper, we propose a novel unsupervised approach that can discover and learn landmarks in object categories,...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science" ]
Title: A Capillary Surface with No Radial Limits, Abstract: In 1996, Kirk Lancaster and David Siegel investigated the existence and behavior of radial limits at a corner of the boundary of the domain of solutions of capillary and other prescribed mean curvature problems with contact angle boundary data. In Theorem 3, t...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: Multi-agent Gaussian Process Motion Planning via Probabilistic Inference, Abstract: This paper deals with motion planning for multiple agents by representing the problem as a simultaneous optimization of every agent's trajectory. Each trajectory is considered as a sample from a one-dimensional continuous-time Ga...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: Sharpening Jensen's Inequality, Abstract: This paper proposes a new sharpened version of the Jensen's inequality. The proposed new bound is simple and insightful, is broadly applicable by imposing minimum assumptions, and provides fairly accurate result in spite of its simple form. Applications to the moment gen...
[ 0, 0, 1, 1, 0, 0 ]
[ "Mathematics", "Statistics" ]
Title: On the intersection graph of ideals of $\mathbb{Z}_m$, Abstract: Let $m>1$ be an integer, and let $I(\mathbb{Z}_m)^*$ be the set of all non-zero proper ideals of $\mathbb{Z}_m$. The intersection graph of ideals of $\mathbb{Z}_m$, denoted by $G(\mathbb{Z}_m)$, is a graph with vertices $I(\mathbb{Z}_m)^*$ and two ...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Optimization of Executable Formal Interpreters developed in Higher-order Theorem Proving Systems, Abstract: In recent publications, we presented a novel formal symbolic process virtual machine (FSPVM) framework that combined higher-order theorem proving and symbolic execution for verifying the reliability and se...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: Personalized Thread Recommendation for MOOC Discussion Forums, Abstract: Social learning, i.e., students learning from each other through social interactions, has the potential to significantly scale up instruction in online education. In many cases, such as in massive open online courses (MOOCs), social learnin...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: CREATE: Cohort Retrieval Enhanced by Analysis of Text from Electronic Health Records using OMOP Common Data Model, Abstract: Background: Widespread adoption of electronic health records (EHRs) has enabled secondary use of EHR data for clinical research and healthcare delivery. Natural language processing (NLP) t...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: Charge transfer and metallicity in LaNiO$_3$/LaMnO$_3$ superlattices, Abstract: Motivated by recent experiments, we use the $+U$ extension of the generalized gradient approximation to density functional theory to study superlattices composed of alternating layers of LaNiO$_3$ and LaMnO$_3$. For comparison we als...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: Report: Performance comparison between C2075 and P100 GPU cards using cosmological correlation functions, Abstract: In this report, some cosmological correlation functions are used to evaluate the differential performance between C2075 and P100 GPU cards. In the past, the correlation functions used in this work ...
[ 1, 1, 0, 0, 0, 0 ]
[ "Physics", "Computer Science" ]
Title: On the Analysis of Bacterial Cooperation with a Characterization of 2D Signal Propagation, Abstract: The exchange of small molecular signals within microbial populations is generally referred to as quorum sensing (QS). QS is ubiquitous in nature and enables microorganisms to respond to fluctuations of living env...
[ 0, 0, 0, 0, 1, 0 ]
[ "Quantitative Biology", "Mathematics" ]
Title: Training of Deep Neural Networks based on Distance Measures using RMSProp, Abstract: The vanishing gradient problem was a major obstacle for the success of deep learning. In recent years it was gradually alleviated through multiple different techniques. However the problem was not really overcome in a fundamenta...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Wild Bootstrapping Rank-Based Procedures: Multiple Testing in Nonparametric Split-Plot Designs, Abstract: Split-plot or repeated measures designs are frequently used for planning experiments in the life or social sciences. Typical examples include the comparison of different treatments over time, where both fact...
[ 0, 0, 1, 1, 0, 0 ]
[ "Statistics", "Mathematics" ]
Title: Graphical Sequent Calculi for Modal Logics, Abstract: The syntax of modal graphs is defined in terms of the continuous cut and broken cut following Charles Peirce's notation in the gamma part of his graphical logic of existential graphs. Graphical calculi for normal modal logics are developed based on a reformul...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: On the tensor semigroup of affine kac-moody lie algebras, Abstract: In this paper, we are interested in the decomposition of the tensor product of two representations of a symmetrizable Kac-Moody Lie algebra $\mathfrak g$. Let $P\_+$ be the set of dominant integral weights. For $\lambda\in P\_+$ , $L(\lambda)$ d...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: On the Power of Truncated SVD for General High-rank Matrix Estimation Problems, Abstract: We show that given an estimate $\widehat{A}$ that is close to a general high-rank positive semi-definite (PSD) matrix $A$ in spectral norm (i.e., $\|\widehat{A}-A\|_2 \leq \delta$), the simple truncated SVD of $\widehat{A}$...
[ 0, 0, 1, 1, 0, 0 ]
[ "Computer Science", "Mathematics", "Statistics" ]
Title: Don't Look Back: Robustifying Place Categorization for Viewpoint- and Condition-Invariant Place Recognition, Abstract: When a human drives a car along a road for the first time, they later recognize where they are on the return journey typically without needing to look in their rear-view mirror or turn around to...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: Linear Additive Markov Processes, Abstract: We introduce LAMP: the Linear Additive Markov Process. Transitions in LAMP may be influenced by states visited in the distant history of the process, but unlike higher-order Markov processes, LAMP retains an efficient parametrization. LAMP also allows the specific depe...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators, Abstract: We consider extended starlike networks where the hub node is coupled with several chains of nodes representing star rays. Assuming that nodes of the network are occupied by nonidentical self-oscillator...
[ 1, 1, 0, 0, 0, 0 ]
[ "Physics", "Mathematics" ]
Title: TherML: Thermodynamics of Machine Learning, Abstract: In this work we offer a framework for reasoning about a wide class of existing objectives in machine learning. We develop a formal correspondence between this work and thermodynamics and discuss its implications.
[ 0, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Physics" ]
Title: Forecasting Across Time Series Databases using Recurrent Neural Networks on Groups of Similar Series: A Clustering Approach, Abstract: With the advent of Big Data, nowadays in many applications databases containing large quantities of similar time series are available. Forecasting time series in these domains wi...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Probing magnetism in the vortex phase of PuCoGa$_5$ by X-ray magnetic circular dichroism, Abstract: We have measured X-ray magnetic circular dichroism (XMCD) spectra at the Pu $M_{4,5}$ absorption edges from a newly-prepared high-quality single crystal of the heavy fermion superconductor $^{242}$PuCoGa$_{5}$, ex...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: Joint secrecy over the K-Transmitter Multiple Access Channel, Abstract: This paper studies the problem of secure communication over a K-transmitter multiple access channel in the presence of an external eavesdropper, subject to a joint secrecy constraint (i.e., information leakage rate from the collection of K m...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: Well-posedness of nonlinear transport equation by stochastic perturbation, Abstract: We are concerned with multidimensional nonlinear stochastic transport equation driven by Brownian motions. For irregular fluxes, by using stochastic BGK approximations and commutator estimates, we gain the existence and uniquene...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: DropIn: Making Reservoir Computing Neural Networks Robust to Missing Inputs by Dropout, Abstract: The paper presents a novel, principled approach to train recurrent neural networks from the Reservoir Computing family that are robust to missing part of the input features at prediction time. By building on the ens...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: A Single-Channel Architecture for Algebraic Integer Based 8$\times$8 2-D DCT Computation, Abstract: An area efficient row-parallel architecture is proposed for the real-time implementation of bivariate algebraic integer (AI) encoded 2-D discrete cosine transform (DCT) for image and video processing. The proposed...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: How proper are Bayesian models in the astronomical literature?, Abstract: The well-known Bayes theorem assumes that a posterior distribution is a probability distribution. However, the posterior distribution may no longer be a probability distribution if an improper prior distribution (non-probability measure) s...
[ 0, 1, 0, 0, 0, 0 ]
[ "Statistics", "Physics" ]
Title: Von Neumann dimension, Hodge index theorem and geometric applications, Abstract: This note contains a reformulation of the Hodge index theorem within the framework of Atiyah's $L^2$-index theory. More precisely, given a compact Kähler manifold $(M,h)$ of even complex dimension $2m$, we prove that $$\sigma(M)=\su...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Hybrid CTC-Attention based End-to-End Speech Recognition using Subword Units, Abstract: In this paper, we present an end-to-end automatic speech recognition system, which successfully employs subword units in a hybrid CTC-Attention based system. The subword units are obtained by the byte-pair encoding (BPE) comp...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: Weak lensing power spectrum reconstruction by counting galaxies.-- I: the ABS method, Abstract: We propose an Analytical method of Blind Separation (ABS) of cosmic magnification from the intrinsic fluctuations of galaxy number density in the observed galaxy number density distribution. The ABS method utilizes th...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics", "Astrophysics", "Statistics" ]
Title: Optimal Output Consensus of High-Order Multi-Agent Systems with Embedded Technique, Abstract: In this paper, we study an optimal output consensus problem for a multi-agent network with agents in the form of multi-input multi-output minimum-phase dynamics. Optimal output consensus can be taken as an extended vers...
[ 1, 0, 1, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: Predicting Parkinson's Disease using Latent Information extracted from Deep Neural Networks, Abstract: This paper presents a new method for medical diagnosis of neurodegenerative diseases, such as Parkinson's, by extracting and using latent information from trained Deep convolutional, or convolutional-recurrent ...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: Representation Theorems for Solvable Sesquilinear Forms, Abstract: New results are added to the paper [4] about q-closed and solvable sesquilinear forms. The structure of the Banach space $\mathcal{D}[||\cdot||_\Omega]$ defined on the domain $\mathcal{D}$ of a q-closed sesquilinear form $\Omega$ is unique up to ...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Spectral Efficient and Energy Aware Clustering in Cellular Networks, Abstract: The current and envisaged increase of cellular traffic poses new challenges to Mobile Network Operators (MNO), who must densify their Radio Access Networks (RAN) while maintaining low Capital Expenditure and Operational Expenditure to...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: A Brain-Inspired Trust Management Model to Assure Security in a Cloud based IoT Framework for Neuroscience Applications, Abstract: Rapid popularity of Internet of Things (IoT) and cloud computing permits neuroscientists to collect multilevel and multichannel brain data to better understand brain functions, diagn...
[ 0, 0, 0, 0, 1, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: A Neural Network Approach for Mixing Language Models, Abstract: The performance of Neural Network (NN)-based language models is steadily improving due to the emergence of new architectures, which are able to learn different natural language characteristics. This paper presents a novel framework, which shows that...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: DCFNet: Deep Neural Network with Decomposed Convolutional Filters, Abstract: Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely th...
[ 0, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers, Abstract: Gravitationally collapsed objects are known to be biased tracers of an underlying density contrast. Using symmetry arguments, generalised biasing schemes have recently been developed to relate the halo density c...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics", "Mathematics" ]
Title: Nonparametric Variational Auto-encoders for Hierarchical Representation Learning, Abstract: The recently developed variational autoencoders (VAEs) have proved to be an effective confluence of the rich representational power of neural networks with Bayesian methods. However, most work on VAEs use a rather simple ...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Corpus-compressed Streaming and the Spotify Problem, Abstract: In this work, we describe a problem which we refer to as the \textbf{Spotify problem} and explore a potential solution in the form of what we call corpus-compressed streaming schemes. Inspired by the problem of constrained bandwidth during use of the...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: An intrinsic parallel transport in Wasserstein space, Abstract: If M is a smooth compact connected Riemannian manifold, let P(M) denote the Wasserstein space of probability measures on M. We describe a geometric construction of parallel transport of some tangent cones along geodesics in P(M). We show that when e...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Factor Analysis for Spectral Estimation, Abstract: Power spectrum estimation is an important tool in many applications, such as the whitening of noise. The popular multitaper method enjoys significant success, but fails for short signals with few samples. We propose a statistical model where a signal is given by...
[ 0, 0, 1, 1, 0, 0 ]
[ "Statistics", "Mathematics" ]
Title: GoT-WAVE: Temporal network alignment using graphlet-orbit transitions, Abstract: Global pairwise network alignment (GPNA) aims to find a one-to-one node mapping between two networks that identifies conserved network regions. GPNA algorithms optimize node conservation (NC) and edge conservation (EC). NC quantifie...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: Symmetric structure for the endomorphism algebra of projective-injective module in parabolic category, Abstract: We show that for any singular dominant integral weight $\lambda$ of a complex semisimple Lie algebra $\mathfrak{g}$, the endomorphism algebra $B$ of any projective-injective module of the parabolic BG...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Kähler metrics via Lorentzian Geometry in dimension four, Abstract: Given a semi-Riemannian $4$-manifold $(M,g)$ with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics $g_K$ is constructed, defined on an open set i...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: Sleep Stage Classification Based on Multi-level Feature Learning and Recurrent Neural Networks via Wearable Device, Abstract: This paper proposes a practical approach for automatic sleep stage classification based on a multi-level feature learning framework and Recurrent Neural Network (RNN) classifier using hea...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: Martin David Kruskal: a biographical memoir, Abstract: Martin David Kruskal was one of the most versatile theoretical physicists of his generation and is distinguished for his enduring work in several different areas, most notably plasma physics, a memorable detour into relativity, and his pioneering work in non...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics", "Mathematics" ]
Title: Unified theory for finite Markov chains, Abstract: We provide a unified framework to compute the stationary distribution of any finite irreducible Markov chain or equivalently of any irreducible random walk on a finite semigroup $S$. Our methods use geometric finite semigroup theory via the Karnofsky-Rhodes and ...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Computer Science" ]
Title: Crowd ideation of supervised learning problems, Abstract: Crowdsourcing is an important avenue for collecting machine learning data, but crowdsourcing can go beyond simple data collection by employing the creativity and wisdom of crowd workers. Yet crowd participants are unlikely to be experts in statistics or p...
[ 0, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Joins in the strong Weihrauch degrees, Abstract: The Weihrauch degrees and strong Weihrauch degrees are partially ordered structures representing degrees of unsolvability of various mathematical problems. Their study has been widely applied in computable analysis, complexity theory, and more recently, also in co...
[ 1, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Computer Science" ]
Title: A combinatorial model for the free loop fibration, Abstract: We introduce the abstract notion of a closed necklical set in order to describe a functorial combinatorial model of the free loop fibration $\Omega Y\rightarrow \Lambda Y\rightarrow Y$ over the geometric realization $Y=|X|$ of a path connected simplici...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Detailed proof of Nazarov's inequality, Abstract: The purpose of this note is to provide a detailed proof of Nazarov's inequality stated in Lemma A.1 in Chernozhukov, Chetverikov, and Kato (2017, Annals of Probability).
[ 0, 0, 1, 1, 0, 0 ]
[ "Mathematics" ]
Title: TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems, Abstract: The Lanczos method is one of the standard approaches for computing a few eigenpairs of a large, sparse, symmetric matrix. It is typically used with restarting to avoid unbounded growth of memory and computati...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: e-Fair: Aggregation in e-Commerce for Exploiting Economies of Scale, Abstract: In recent years, many new and interesting models of successful online business have been developed, including competitive models such as auctions, where the product price tends to rise, and group-buying, where users cooperate obtainin...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Quantitative Finance" ]
Title: Stable spike clusters for the precursor Gierer-Meinhardt system in R2, Abstract: We consider the Gierer-Meinhardt system with small inhibitor diffusivity, very small activator diffusivity and a precursor inhomogeneity. For any given positive integer k we construct a spike cluster consisting of $k$ spikes which a...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Scaling Limits for Super--replication with Transient Price Impact, Abstract: We prove limit theorems for the super-replication cost of European options in a Binomial model with transient price impact. We show that if the time step goes to zero and the effective resilience between consecutive trading times remain...
[ 0, 0, 0, 0, 0, 1 ]
[ "Quantitative Finance", "Mathematics" ]
Title: Kernel-based Inference of Functions over Graphs, Abstract: The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function defined over ...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: Noncommutative products of Euclidean spaces, Abstract: We present natural families of coordinate algebras of noncommutative products of Euclidean spaces. These coordinate algebras are quadratic ones associated with an R-matrix which is involutive and satisfies the Yang-Baxter equations. As a consequence they enj...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: Reservoir Computing for Detection of Steady State in Performance Tests of Compressors, Abstract: Fabrication of devices in industrial plants often includes undergoing quality assurance tests or tests that seek to determine some attributes or capacities of the device. For instance, in testing refrigeration compre...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Temporal-related Convolutional-Restricted-Boltzmann-Machine capable of learning relational order via reinforcement learning procedure?, Abstract: In this article, we extend the conventional framework of convolutional-Restricted-Boltzmann-Machine to learn highly abstract features among abitrary number of time rel...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Statistics" ]
Title: Predicting how and when hidden neurons skew measured synaptic interactions, Abstract: A major obstacle to understanding neural coding and computation is the fact that experimental recordings typically sample only a small fraction of the neurons in a circuit. Measured neural properties are skewed by interactions ...
[ 0, 1, 0, 0, 0, 0 ]
[ "Quantitative Biology", "Statistics" ]
Title: Stateless Puzzles for Real Time Online Fraud Preemption, Abstract: The profitability of fraud in online systems such as app markets and social networks marks the failure of existing defense mechanisms. In this paper, we propose FraudSys, a real-time fraud preemption approach that imposes Bitcoin-inspired computa...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Quantitative Finance" ]
Title: Pore cross-talk in colloidal filtration, Abstract: Blockage of pores by particles is found in many processes, including filtration and oil extraction. We present filtration experiments through a linear array of ten channels with one dimension which is sub-micron, through which a dilute dispersion of Brownian pol...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: Explicit minimisation of a convex quadratic under a general quadratic constraint: a global, analytic approach, Abstract: A novel approach is introduced to a very widely occurring problem, providing a complete, explicit resolution of it: minimisation of a convex quadratic under a general quadratic, equality or in...
[ 0, 0, 1, 1, 0, 0 ]
[ "Mathematics" ]
Title: Morphisms of open games, Abstract: We define a notion of morphisms between open games, exploiting a surprising connection between lenses in computer science and compositional game theory. This extends the more intuitively obvious definition of globular morphisms as mappings between strategy profiles that preserv...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science", "Mathematics" ]
Title: U(1)$\times$SU(2) Gauge Invariance Made Simple for Density Functional Approximations, Abstract: A semi-relativistic density-functional theory that includes spin-orbit couplings and Zeeman fields on equal footing with the electromagnetic potentials, is an appealing framework to develop a unified first-principles ...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics", "Mathematics" ]
Title: L^2-Betti numbers of rigid C*-tensor categories and discrete quantum groups, Abstract: We compute the $L^2$-Betti numbers of the free $C^*$-tensor categories, which are the representation categories of the universal unitary quantum groups $A_u(F)$. We show that the $L^2$-Betti numbers of the dual of a compact qu...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics", "Physics" ]
Title: Hierarchical internal representation of spectral features in deep convolutional networks trained for EEG decoding, Abstract: Recently, there is increasing interest and research on the interpretability of machine learning models, for example how they transform and internally represent EEG signals in Brain-Compute...
[ 1, 0, 0, 1, 0, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: Large-scale validation of an automatic EEG arousal detection algorithm using different heterogeneous databases, Abstract: $\textbf{Objective}$: To assess the validity of an automatic EEG arousal detection algorithm using large patient samples and different heterogeneous databases $\textbf{Methods}$: Automatic sc...
[ 0, 0, 0, 0, 1, 0 ]
[ "Computer Science", "Quantitative Biology" ]
Title: Mechanisms of near-surface structural evolution in nanocrystalline materials during sliding contact, Abstract: The wear-driven structural evolution of nanocrystalline Cu was simulated with molecular dynamics under constant normal loads, followed by a quantitative analysis. While the microstructure far away from ...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]
Title: Generalized Hölder's inequality on Morrey spaces, Abstract: The aim of this paper is to present necessary and sufficient conditions for generalized Hölder's inequality on generalized Morrey spaces. We also obtain similar results on weak Morrey spaces and on generalized weak Morrey spaces. The necessary and suffi...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Ranks of rational points of the Jacobian varieties of hyperelliptic curves, Abstract: In this paper, we obtain bounds for the Mordell-Weil ranks over cyclotomic extensions of a wide range of abelian varieties defined over a number field $F$ whose primes above $p$ are totally ramified over $F/\mathbb{Q}$. We assu...
[ 0, 0, 1, 0, 0, 0 ]
[ "Mathematics" ]
Title: Occlusion-Aware Risk Assessment for Autonomous Driving in Urban Environments, Abstract: Navigating safely in urban environments remains a challenging problem for autonomous vehicles. Occlusion and limited sensor range can pose significant challenges to safely navigate among pedestrians and other vehicles in the ...
[ 1, 0, 0, 0, 0, 0 ]
[ "Computer Science" ]
Title: Quantum oscillations and Dirac-Landau levels in Weyl superconductors, Abstract: When magnetic field is applied to metals and semimetals quantum oscillations appear as individual Landau levels cross the Fermi level. Quantum oscillations generally do not occur in superconductors (SC) because magnetic field is eith...
[ 0, 1, 0, 0, 0, 0 ]
[ "Physics" ]