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\section{Introduction} Einstein's gravity produced a gigantic understanding of our universe throughout both theoretical and experimental evidences. The observation of gravitational waves from a binary black hole merger, as reported in Ref. \cite{Abbott:2016blz}, was expected as one of the crucial tests for general rel...
{ "timestamp": "2021-05-11T02:16:00", "yymm": "2105", "arxiv_id": "2105.03802", "language": "en", "url": "https://arxiv.org/abs/2105.03802" }
\section{Introduction} The word aquaculture is related to firming, including breeding, raising, and harvesting fishes, aquatic plants, crustaceans, mollusks, and aquatic organisms. It involves the cultivation of both freshwater and saltwater creatures under a controlled condition and is used to produce food and commer...
{ "timestamp": "2021-05-11T02:20:27", "yymm": "2105", "arxiv_id": "2105.03934", "language": "en", "url": "https://arxiv.org/abs/2105.03934" }
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{H}{umans} have the amazing ability to learn new concepts from only a few examples, and then effortlessly generalize this knowledge to new samples. In contrast, despite considerable progress, existing image classification models based on deep neural networks...
{ "timestamp": "2021-05-11T02:15:24", "yymm": "2105", "arxiv_id": "2105.03781", "language": "en", "url": "https://arxiv.org/abs/2105.03781" }
\section{Introduction} All groups considered in this paper are finite, and all graphs considered are finite, undirected and simple. Let $\Gamma$ be a graph with vertex set $V$, and let $a, b$ be nonnegative integers. An \emph{$(a,b)$-regular set} \cite{Cardoso2019} in $\Gamma$ (or simply a \emph{regular set} in $\Gam...
{ "timestamp": "2021-05-11T02:19:42", "yymm": "2105", "arxiv_id": "2105.03913", "language": "en", "url": "https://arxiv.org/abs/2105.03913" }
\section{Subvarieties of ${\mathcal A}_g(n)$ }\label{sec:Ag} \subsection{Siegel upper half-space, ${\mathcal A}_g$ and level structures} We denote by ${\mathbb{H}}_g=\{\tau\in\operatorname{Mat}_{g\times g}({\mathbb{C}})\mid \tau=\tau^t, \operatorname{Im}\tau>0\}$ the {\it{Siegel upper half-space}} of symmetric mat...
{ "timestamp": "2021-05-17T02:09:03", "yymm": "2105", "arxiv_id": "2105.03861", "language": "en", "url": "https://arxiv.org/abs/2105.03861" }
\section*{Introduction} \label{intr} Recent experimental discovery of the superconductivity in hole-doped NdNiO$_{2}$ generated renewed interest in nickelates. Particularly, the similarities and differences between nickelates and cuprates were studied intensely during the last couple of years. The study, obviously, is...
{ "timestamp": "2021-06-29T02:37:16", "yymm": "2105", "arxiv_id": "2105.03770", "language": "en", "url": "https://arxiv.org/abs/2105.03770" }
\section{Experimental Results} a sample array design was sent out for manufacturing Fig.~\ref{fig:array_sample_m}. (i) The simulated antenna and the fabricated one agree with a 1dB difference in terms of directivity as measured in an anechoic chamber. (ii) The measured antenna array efficiency,$\eta = 99.6\%$. (iii) Co...
{ "timestamp": "2021-05-11T02:17:26", "yymm": "2105", "arxiv_id": "2105.03838", "language": "en", "url": "https://arxiv.org/abs/2105.03838" }
\section{Introduction} The end state of a star resulting from continued gravitational collapse is still a much debated topic in relativistic astrophysics. It has been shown in some classes of models that shear plays an important role in producing naked singularities. On the other hand, the absence of shear during grav...
{ "timestamp": "2021-05-11T02:21:50", "yymm": "2105", "arxiv_id": "2105.03970", "language": "en", "url": "https://arxiv.org/abs/2105.03970" }
\section{Introduction} \subsection{Overview} \label{Section_Overview} This text comes out of two circles of ideas. On one side, we are interested in $\beta$--ensembles of random matrix theory, where $\beta=1,2,4$ correspond to matrices with real/complex/quaternionic entries, but many distributions admit natural ext...
{ "timestamp": "2021-06-29T02:23:21", "yymm": "2105", "arxiv_id": "2105.03795", "language": "en", "url": "https://arxiv.org/abs/2105.03795" }
\section{Introduction} The electronic structure problem of quantum chemistry if one of the main anticipated applications for future quantum computers.~\cite{cao2019quantum, reiher2017elucidating} The core problem is to extract, primarily low-lying, eigenenergies from electronic Hamiltonians as well as preparing the c...
{ "timestamp": "2021-05-11T02:17:22", "yymm": "2105", "arxiv_id": "2105.03836", "language": "en", "url": "https://arxiv.org/abs/2105.03836" }
\section{Introduction} Missing sensor measurements can arise in a variety of radar signal processing problems as for instance beamforming, direction of arrival estimation, interference cancellation, covariance estimation, and target detection. This demands the development of specific procedures in order to keep conta...
{ "timestamp": "2021-05-11T02:13:35", "yymm": "2105", "arxiv_id": "2105.03738", "language": "en", "url": "https://arxiv.org/abs/2105.03738" }
\section*{Acknowledgment} The authors wish to thank ... . \section{Introduction and Main Results} Let \rvX\ and \rvY\ be arbitrary random variables such that the joint distribution \meP[\rvX\rvY]\ is absolutely continuous \wrt\ the product $\meP[\rvX]\otimes\meP[\rvY]$ of the marginal distributions \m...
{ "timestamp": "2021-05-11T02:20:08", "yymm": "2105", "arxiv_id": "2105.03925", "language": "en", "url": "https://arxiv.org/abs/2105.03925" }
\section{Introduction} \justify The \textit{octahedron recurrence} is given by the initial conditions $f_{i,j,k}=x_{i,j,k}$ for $k = -1,0$ and \begin{align*} f_{i,j,k-1}f_{i,j,k+1} &= f_{i-1,j,k}f_{i+1,j,k}+ \lambda f_{i,j-1,k}f_{i,j+1,k}. & (k\geq0) \end{align*} \justify An \textit{alternating sign ma...
{ "timestamp": "2021-05-11T02:21:42", "yymm": "2105", "arxiv_id": "2105.03969", "language": "en", "url": "https://arxiv.org/abs/2105.03969" }
\section{Introduction} We are motivated by a desire to understand better the dynamical stability of equilibria of a nematic liquid crystal in an electric field created by electrodes held at constant potential. As modeled in the Oseen-Frank macroscopic continuum theory, the free-energy functional that governs the coup...
{ "timestamp": "2021-05-11T02:14:03", "yymm": "2105", "arxiv_id": "2105.03749", "language": "en", "url": "https://arxiv.org/abs/2105.03749" }
\section{INTRODUCTION} \label{sec:intro} \IEEEPARstart{I}n real--world traffic situations, it is not uncommon that heterogeneous road users like vehicles and vulnerable road users (VRUs, e.\,g.,~pedestrians and cyclists) have to directly interact with each other at some particular locations. Especially in city traffic...
{ "timestamp": "2021-05-11T02:19:07", "yymm": "2105", "arxiv_id": "2105.03891", "language": "en", "url": "https://arxiv.org/abs/2105.03891" }
\section{Introduction} \label{sec:introduction} Various types of indexes play an indispensable role in modern computational systems to enable fast information retrieval. As a traditional one, inverted index~\cite{dean2009challenges} has been widely used in web search, e-commerce search, recommendation and advertising...
{ "timestamp": "2021-05-31T02:13:00", "yymm": "2105", "arxiv_id": "2105.03933", "language": "en", "url": "https://arxiv.org/abs/2105.03933" }
\section{ Introduction} Let $\Ga=(V,E)$ be a graph with vertex set $V$ and edge set $E$, which is finite, simple and undirected. The number of vertices $|V|$ is called the {\it order} of the graph. A $2$-{\it arc} in $\Ga$ is a triple of distinct vertices $(\a,\b,\g)$ such that $\b$ is adjacent to both $\a$ and...
{ "timestamp": "2021-05-11T02:18:49", "yymm": "2105", "arxiv_id": "2105.03880", "language": "en", "url": "https://arxiv.org/abs/2105.03880" }
\section{introduction} We consider the inhomogeneous Landau equation: \begin{equation}\label{e:mainL} \partial_t f + v\cdot \nabla_x f = Q_L(f,f) := \mbox{tr}( \bar a^f D_v^2 f) + \bar c^f f, \end{equation} where, for $f:\mathbb R_+\times \mathbb R^3 \times \mathbb R^3\to \mathbb R$, \begin{equation}\label{e:coeffs}...
{ "timestamp": "2021-05-11T02:20:39", "yymm": "2105", "arxiv_id": "2105.03942", "language": "en", "url": "https://arxiv.org/abs/2105.03942" }
\section{Introduction} Tableau models provide an indispensable framework for giving explicit positive combinatorial formulas for important families of polynomials and their relationships to one another. The celebrated \emph{Schur polynomials}, which form a basis for the ring $\ensuremath{\mathrm{Sym}}_n$ of symmetric ...
{ "timestamp": "2021-05-11T02:19:12", "yymm": "2105", "arxiv_id": "2105.03895", "language": "en", "url": "https://arxiv.org/abs/2105.03895" }
\section{Introducción} \PARstart{D}{esde} hace más de una década, las unidades de procesamiento gráfico (GPUs) se han consolidado como dispositivos de computación masivamente paralelos y se han adoptado en múltiples áreas de la computación, desde sistemas empotrados hasta grandes centros de datos de alto rendimiento. ...
{ "timestamp": "2021-05-11T02:18:17", "yymm": "2105", "arxiv_id": "2105.03859", "language": "es", "url": "https://arxiv.org/abs/2105.03859" }
\section{Introduction} \label{sec:intro} Photoacoustic tomography (PAT) is a technique which detects optical contrast acoustically. As photons travel through an absorbing medium like tissue, most, if not all the light is converted into heat. This causes a temperature increase which induces a pressure increase throug...
{ "timestamp": "2021-05-11T02:16:24", "yymm": "2105", "arxiv_id": "2105.03809", "language": "en", "url": "https://arxiv.org/abs/2105.03809" }
\section{Introduction} Backflow effect is a striking universal quantum phenomenon that was revealed by Allcock \cite{alc} long time ago, (for a recent brief review see \cite{intro}), while considering the arrival time problem in quantum theory. The arrival time connection was further pursued in \cite{muga}. It was ex...
{ "timestamp": "2021-05-11T02:20:40", "yymm": "2105", "arxiv_id": "2105.03944", "language": "en", "url": "https://arxiv.org/abs/2105.03944" }
\section{Introduction} Ultracold molecules are today one of the physical systems most used to study a variety of physical phenomena, ranging from quantum information \cite{soderberg2009NJP,carr2009NJP,park2017Sci,ni2018CS,anderegg2019Sci}, to ultracold chemistry \cite{krems2008PCCP,quemener2012CR,hu2019Sci,valtolina...
{ "timestamp": "2021-05-11T02:14:26", "yymm": "2105", "arxiv_id": "2105.03763", "language": "en", "url": "https://arxiv.org/abs/2105.03763" }
\section{Introduction} Although deep neural networks have achieved prominent performance on many NLP tasks, they are vulnerable to adversarial examples that are intentionally crafted by replacing, scrambling, and erasing characters \cite{gao2018black,ebrahimi-etal-2018-hotflip} or words \cite{alzantot2018generating,...
{ "timestamp": "2021-06-15T02:32:58", "yymm": "2105", "arxiv_id": "2105.03743", "language": "en", "url": "https://arxiv.org/abs/2105.03743" }
\section{Introduction} \label{sec:intro} Several alternative theories modifying Einstein's general relativity have been proposed in the past decades as parts of an effort to solve long-standing cosmological problems such as dark energy, dark matter, and inflation. One of these theories, based on the assumption that g...
{ "timestamp": "2021-05-11T02:17:55", "yymm": "2105", "arxiv_id": "2105.03849", "language": "en", "url": "https://arxiv.org/abs/2105.03849" }
\section{Is math useful?} \begin{quotation} The mass of mathematical truth is obvious and imposing; its practical applications, the bridges and steam-engines and dynamos, obtrude themselves on the dullest imagination. The public does not need to be convinced that there is something in mathematics. All this is in its w...
{ "timestamp": "2021-05-11T02:17:31", "yymm": "2105", "arxiv_id": "2105.03843", "language": "en", "url": "https://arxiv.org/abs/2105.03843" }
\section{Introduction} As a model problem we consider \begin{gather} \label{BBM} \partial_t u(t,x) +\partial_x m_L(\sqrt{\varepsilon}\partial_x) u(t,x)+ \varepsilon\partial_x m_Q(\sqrt{\varepsilon}\partial_x) u^2(t,x) =0 \quad (t,x) \in \mathbb{R}\times \mathbb{T}  \end{gather} with smooth symbols $m_L, m_Q$ satisfy...
{ "timestamp": "2021-05-11T02:13:17", "yymm": "2105", "arxiv_id": "2105.03731", "language": "en", "url": "https://arxiv.org/abs/2105.03731" }
\section{Introduction} \label{sec:introduction} High-throughput DNA sequencing has enabled culture-independent profiling of complex microbial communities. A microbiota is defined as the assemblage of micro-organisms present in a defined environment \cite{marchesi2015vocabulary}. Over the past decade interest about t...
{ "timestamp": "2021-05-11T02:19:26", "yymm": "2105", "arxiv_id": "2105.03903", "language": "en", "url": "https://arxiv.org/abs/2105.03903" }
\section{Introduction} \footnote{“© 20XX IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or red...
{ "timestamp": "2021-05-13T02:04:01", "yymm": "2105", "arxiv_id": "2105.03876", "language": "en", "url": "https://arxiv.org/abs/2105.03876" }
\section{Introduction} \label{sec:introduction} \input{sections/Introduction} \vspace*{-0pt} \vspace*{6pt} \section{Background} \label{sec:preliminaries} \input{sections/Preliminaries.tex} \vspace*{-0pt} \vspace*{4pt} \section{Proposed in-DRAM Computing Primitives} \label{sec:tool} \input{sections/tool} \v...
{ "timestamp": "2021-05-18T02:01:49", "yymm": "2105", "arxiv_id": "2105.03736", "language": "en", "url": "https://arxiv.org/abs/2105.03736" }
\section{Introduction} Graphs in this paper are finite, and without loops or parallel edges. Let $A,B\subseteq V(G)$ be disjoint. We say that $A$ is {\em complete} to $B$, or $A,B$ are {\em complete}, if every vertex in $A$ is adjacent to every vertex in $B$, and similarly $A,B$ are {\em anticomplete} if no vertex in $...
{ "timestamp": "2021-05-11T02:21:04", "yymm": "2105", "arxiv_id": "2105.03956", "language": "en", "url": "https://arxiv.org/abs/2105.03956" }
\section{Introduction} Clogging is a phenomenon that usually arises when particles pass through narrow bottleneck structures~\cite{zuriguel2014invited}. It is often expressed as the jamming arch formed by several interactive particles in front of the bottleneck, which significantly decreases or even stops the flow thro...
{ "timestamp": "2021-05-11T02:21:04", "yymm": "2105", "arxiv_id": "2105.03954", "language": "en", "url": "https://arxiv.org/abs/2105.03954" }
\section{\textbf{Introduction}} The Stern-Gerlach experiment has long been hailed as the first direct evidence of the quantum nature of spin of particles. One observes two distinct peaks corresponding to the spin-up and spin-down states of the emergent spin-1/2 particle beams on a detector placed at the far end of a St...
{ "timestamp": "2021-05-11T02:15:26", "yymm": "2105", "arxiv_id": "2105.03785", "language": "en", "url": "https://arxiv.org/abs/2105.03785" }
\section{Introduction} Representing a new chapter in condensed matter physics and material science, topological quantum states~\cite{add1,add2} have attracted the wide attention of researchers since their discovery. The topological concepts of electronic structures have been widely predicted and verified ~\cite{add3,a...
{ "timestamp": "2021-05-11T02:21:11", "yymm": "2105", "arxiv_id": "2105.03963", "language": "en", "url": "https://arxiv.org/abs/2105.03963" }
\section{Introduction} \label{sec:intro} Image steganography and image steganalysis are a pair of antagonistic techniques, wherein the former conceals secret messages within cover images, and the latter looks for embedding artifacts to reveal the presence of secret messages within stego images. Since JPEG is the most ...
{ "timestamp": "2021-05-11T02:18:35", "yymm": "2105", "arxiv_id": "2105.03867", "language": "en", "url": "https://arxiv.org/abs/2105.03867" }
\section{Introduction} \label{sec:introduction} Deep learning models have demonstrated impressive performance on various pattern recognition tasks \cite{Krizhevsky:2012a0,He:201604,Devlin:2019ad,Graves:201383}. However, these models are vulnerable to adversarial examples \cite{Szegedy:2014cd,Goodfellow:2015c5}, which ...
{ "timestamp": "2021-05-11T02:20:24", "yymm": "2105", "arxiv_id": "2105.03931", "language": "en", "url": "https://arxiv.org/abs/2105.03931" }
\section{Introduction} \input{sections/introduction.tex} \section{Related work} \input{sections/relatedwork.tex} \section{Proposed Method} \input{sections/method.tex} \section{Experiments} \input{sections/experiment.tex} \section{Conclusions} \input{sections/conclusions.tex} \bibliographystyle{IEEEtr...
{ "timestamp": "2021-05-11T02:18:36", "yymm": "2105", "arxiv_id": "2105.03869", "language": "en", "url": "https://arxiv.org/abs/2105.03869" }
\section{Introdution} Markov chain is a stochastic process that takes advantage of past and current prior information to predict the future information \cite{CKL1979A, 2021Stationary, WJ2009A}. The first-order Markov chain only uses current information, and one of its representative applications is Google's PageRank \c...
{ "timestamp": "2021-05-11T02:18:44", "yymm": "2105", "arxiv_id": "2105.03874", "language": "en", "url": "https://arxiv.org/abs/2105.03874" }
\section{Introduction} After the upgrade of the Large Hadron Collider (LHC) at CERN in 2026~\cite{apollinari2017high}, the accelerator aims to deliver \num{5} - \num{7} times the nominal lu\-mi\-no\-sity of \SI{1e34}{\per\square\centi\meter\per\second}. This results in new challenges in terms of data rate capabilities ...
{ "timestamp": "2021-05-11T02:21:06", "yymm": "2105", "arxiv_id": "2105.03959", "language": "en", "url": "https://arxiv.org/abs/2105.03959" }
\section{0pt}{12pt plus 4pt minus 2pt}{0pt plus 2pt minus 2pt} \titlespacing\subsection{0pt}{12pt plus 4pt minus 2pt}{0pt plus 2pt minus 2pt} \titlespacing\subsubsection{0pt}{12pt plus 4pt minus 2pt}{0pt plus 2pt minus 2pt} \setcounter{tocdepth}{5} \setcounter{secnumdepth}{5} \setlistdepth{9} \renewlist{enumerate}{...
{ "timestamp": "2021-05-11T02:17:13", "yymm": "2105", "arxiv_id": "2105.03828", "language": "en", "url": "https://arxiv.org/abs/2105.03828" }
\section{Introduction} Writing fast code is not the domain of humans, instead it is the domain of symbolic engines. Many core numerical routines, such as the FFTW suite for Fast Fourier Transformations, make use of symbolic calculations to vastly outperform purely handwritten methods \cite{frigo2005design}. Additional...
{ "timestamp": "2021-05-13T02:22:26", "yymm": "2105", "arxiv_id": "2105.03949", "language": "en", "url": "https://arxiv.org/abs/2105.03949" }
\section{Introduction} The harmonic heat flow was introduced by Eells and Sampson in \cite{EellsSampson}. They used it to prove one of the first general existence results for harmonic maps between Riemannian manifolds. Since then the harmonic heat flow has been an important tool in many existence results for harmonic ...
{ "timestamp": "2021-05-18T02:35:24", "yymm": "2105", "arxiv_id": "2105.03910", "language": "en", "url": "https://arxiv.org/abs/2105.03910" }
\section{Introduction} \label{intro} The complexity of modelling time-series data increases when accounting for discontinuous changes in dynamical behavior. As a motivational example, consider the Lotka-Volterra equations, a simplified model of predator-prey interactions. The system is described by the pair of ordinary...
{ "timestamp": "2021-06-11T02:18:53", "yymm": "2105", "arxiv_id": "2105.03835", "language": "en", "url": "https://arxiv.org/abs/2105.03835" }
\section{Introduction} Classification of manifolds is a fundamental problem in geometry and topology. There are tremendous investigations around this problem in both smooth and topological category. For instance, in the general case, Wall \cite{Wal1, Wal3} studied the $(n-1)$-connected $2n$-manifolds and the $(n-1)$-co...
{ "timestamp": "2021-05-11T02:18:49", "yymm": "2105", "arxiv_id": "2105.03881", "language": "en", "url": "https://arxiv.org/abs/2105.03881" }
\section{Characterization of UPMEM DPU} This section presents a microbenchmark-based analysis of the UPMEM DPU. The sustainable bandwidth of MRAM (i.e., MRAM to WRAM) is evaluates in Section~\ref{sec:mram-bandwidth}. The sustainable bandwidth of WRAM (i.e., WRAM to core) is evaluates in Section~\ref{sec:wram-...
{ "timestamp": "2021-06-21T02:04:41", "yymm": "2105", "arxiv_id": "2105.03814", "language": "en", "url": "https://arxiv.org/abs/2105.03814" }
\section{Introduction} Perovskites with general chemical formula ABX$_3$ have found great attention in dielectric, optoelectronics, and solar cell applications due to their superb ferroelectric, piezoelectric, superconductive and photovoltaic properties~\cite{jaffe1971piezoelectric, C6TC04830G, zhang2015advantages}....
{ "timestamp": "2021-05-11T02:14:17", "yymm": "2105", "arxiv_id": "2105.03757", "language": "en", "url": "https://arxiv.org/abs/2105.03757" }
\section{Introduction} The inner core region of relaxed clusters of galaxies shows a complex structure of different gas phases. Most of the gas mass is collisionally ionised and cooling via thermal bremsstrahlung and line emission in X-rays onto the central Brightest Cluster Galaxy (BCG). The low temperature and high ...
{ "timestamp": "2021-05-11T02:19:27", "yymm": "2105", "arxiv_id": "2105.03904", "language": "en", "url": "https://arxiv.org/abs/2105.03904" }
\section{Missing Proofs in Section \ref{sec:shallow-linear}}\label{app:shallow-linear} \paragraph{Proofs of Proposition \ref{prop:basic}.} \begin{proof} Lipschitz continuous follows from \[ \|\nabla L(\mathbf{w})\| \leq \mathbb{E}_{\mathbf{x}\sim\mathcal{D}} \left\|\frac{y(\mathbf{x})}{1+e^{y(\mathbf{x})\mathbf{w}^{\...
{ "timestamp": "2021-05-11T02:18:49", "yymm": "2105", "arxiv_id": "2105.03879", "language": "en", "url": "https://arxiv.org/abs/2105.03879" }
\section{Introduction} Indexing data structures traditionally play a central role in algorithms on string and in information retrieval. Due to constantly growing volumes of data in applications, the attention of researchers in the last decades was naturally attracted to small-space indexes. In this paper we study tw...
{ "timestamp": "2021-05-11T02:15:25", "yymm": "2105", "arxiv_id": "2105.03782", "language": "en", "url": "https://arxiv.org/abs/2105.03782" }
\section*{Acknowledgement} This work was partially supported by the National Natural Science Foundation of China under Grant No. 61872369 and 61832017, Beijing Academy of Artificial Intelligence (BAAI) under Grant No. BAAI2020ZJ0301, Beijing Outstanding Young Scientist Program under Grant No. BJJWZYJH012019100020098, ...
{ "timestamp": "2021-05-11T02:16:41", "yymm": "2105", "arxiv_id": "2105.03815", "language": "en", "url": "https://arxiv.org/abs/2105.03815" }
\section{Introduction} Consider the weakly-coupled competitive polyharmonic system of $\ell$ equations in $\mathbb{R}^N$, \begin{equation} \label{s:intro} \begin{cases} (-\Delta)^m u_i = \mu_i|u_i|^{2_m^*-2}u_i + \sum\limits_{\substack{j=1 \\ j\neq i}}^\ell\lambda_{ij}\beta_{ij}|u_j|^{\alpha_{ij}}|u_i|^{\beta_{ij}-...
{ "timestamp": "2021-05-11T02:14:08", "yymm": "2105", "arxiv_id": "2105.03754", "language": "en", "url": "https://arxiv.org/abs/2105.03754" }
\section{Introduction and main results} Chen and Choi \cite{Chen:2014:AAF} presented a method to estimate Euler's constant $e$, accurate to as many decimal places as desired. Their starting point was the well known limit $\lim_{x\rightarrow \infty }g(x)=e$, where \begin{equation} g(x)=\left(1+\frac{1}{x}\right) ^{x}. ...
{ "timestamp": "2021-05-11T02:15:49", "yymm": "2105", "arxiv_id": "2105.03794", "language": "en", "url": "https://arxiv.org/abs/2105.03794" }
\section{Introduction} \label{sec:intro} Blazar OJ 287, having the most massive black hole among all blazars, is located at a redshift 0.306 (\citealt{Mao2011}). It is classified as BL Lac object in the 3FGL (\citealt{3FGL}) \& 4FGL (\citealt{4FGL}) catalog. It is known for its high radio, optical, X-ray, and $\gamma$-...
{ "timestamp": "2021-07-01T02:23:12", "yymm": "2105", "arxiv_id": "2105.03937", "language": "en", "url": "https://arxiv.org/abs/2105.03937" }
\section{Introduction} The scale of Internet is ever increasing. Today there are more than 1 billion hosts connected to Internet. Since IPv4 addresses are exhausted in 2011~\cite{exhausted}, the move to IPv6 seems inevitable. However, the transition from IPv4 to IPv6 requires updating not only the Internet infrastructu...
{ "timestamp": "2021-05-11T02:18:26", "yymm": "2105", "arxiv_id": "2105.03864", "language": "en", "url": "https://arxiv.org/abs/2105.03864" }
\section{Introduction} \label{sec: intro} \input{tex/intro.tex} \section{Preliminaries} \label{sec: preli} \input{tex/preliminary.tex} \section{Main results with generative model and $(s,a)$-rectangular assumption} \label{sec: res-gen} \input{tex/res-gen.tex} \section{Main results with generative model and $s$-recta...
{ "timestamp": "2021-05-11T02:18:22", "yymm": "2105", "arxiv_id": "2105.03863", "language": "en", "url": "https://arxiv.org/abs/2105.03863" }
\section{Introduction} In a hotter and more drought-prone world, wildfire risk will continue to increase. The situation is particularly dire for the Northern Californian investor-owned utility: "Cal Fire [determined] in May that PG\&E lines were the cause of several fires that killed at least 15 people and razed over ...
{ "timestamp": "2021-05-11T02:16:11", "yymm": "2105", "arxiv_id": "2105.03804", "language": "en", "url": "https://arxiv.org/abs/2105.03804" }
\section{Introduction} \noindent Computing shortest paths in a continuous 2D environment has been of interest for researchers in various domains such as robotics, game development and computational geometry. \cite{vgraph} solved the problem of finding the shortest path among polygonal obstacles using visibility graphs....
{ "timestamp": "2021-05-11T02:17:17", "yymm": "2105", "arxiv_id": "2105.03833", "language": "en", "url": "https://arxiv.org/abs/2105.03833" }
\section{Introduction}\label{sec:introduction} The Universe is homogeneous and isotropic on large scale, which is called the cosmological principle. Based on it, the standard Lambda cold dark matter ($\Lambda$CDM) cosmological model has been established. In the past few decades, many experiments test its validity and v...
{ "timestamp": "2021-05-11T02:21:14", "yymm": "2105", "arxiv_id": "2105.03965", "language": "en", "url": "https://arxiv.org/abs/2105.03965" }
\section{Introduction} \section{Environment Description} \label{appendix:environment} Recently, datasets embodied in action and perception have been used to train models for various tasks \cite{Vries2018TalkTW,mao2018the}. One such dataset is the grounded SCAN (gSCAN) dataset \cite{ruis2020benchmark} which is used...
{ "timestamp": "2021-05-18T02:14:50", "yymm": "2105", "arxiv_id": "2105.03943", "language": "en", "url": "https://arxiv.org/abs/2105.03943" }
\section{Introduction} There are a number of mechanisms which can be abstractly defined and are found to be implemented in biology. The best-known is the selectionist mechanism of biological evolution. But that mechanism can be abstractly described and then implemented in non-biological settings as in `evolutiona...
{ "timestamp": "2021-05-11T02:19:31", "yymm": "2105", "arxiv_id": "2105.03907", "language": "en", "url": "https://arxiv.org/abs/2105.03907" }
\section*{Data} We share the \ac{USS} dataset at \url{https://github.com/sunnweiwei/user-satisfaction-simulation}. \input{sections/acknowledgement} \newpage \bibliographystyle{ACM-Reference-Format} \section{Conclusion} We have proposed the task of simulating user satisfaction for evaluating task-oriented dialogu...
{ "timestamp": "2021-05-11T02:14:01", "yymm": "2105", "arxiv_id": "2105.03748", "language": "en", "url": "https://arxiv.org/abs/2105.03748" }
\section{Introduction} When studying a quantum system, it is generally desirable for it to be prepared in a low-entropy configuration. Such systems can populate a relatively small number of quantum states, which makes their dynamics more controllable, predictable, and comprehensible~\cite{Bloch,Zhang}. If the system o...
{ "timestamp": "2021-05-11T02:15:22", "yymm": "2105", "arxiv_id": "2105.03780", "language": "en", "url": "https://arxiv.org/abs/2105.03780" }
\section{Introduction} Machine learning (ML) models learn to perform tasks based on real-world data, rather than being explicitly programmed. These models learn the correlation between input features and output labels through a set of examples from the training set. Thus, information about the training samples is im...
{ "timestamp": "2021-05-11T02:18:45", "yymm": "2105", "arxiv_id": "2105.03875", "language": "en", "url": "https://arxiv.org/abs/2105.03875" }
\subsubsection*{Acknowledgements} \begin{abstract} Many automated operations in agriculture, such as weeding and plant counting, require robust and accurate object detectors. Robotic fruit harvesting is one of these, and is an important technology to address the increasing labour shortages and uncertainty suffered by...
{ "timestamp": "2021-05-11T02:17:16", "yymm": "2105", "arxiv_id": "2105.03832", "language": "en", "url": "https://arxiv.org/abs/2105.03832" }
\section{Introduction}\label{sec:01} The classical log-symmetric distributions (LS) are a generalization of the log-normal distribution and are particularly flexible in providing models with positive asymmetry and that have lighter/heavier tails than those of the log-normal distribution \citep{vanegasp:16a}. Regressio...
{ "timestamp": "2021-05-11T02:16:19", "yymm": "2105", "arxiv_id": "2105.03806", "language": "en", "url": "https://arxiv.org/abs/2105.03806" }
\section{Introduction}\label{sect0} \noindent [\emph{An earlier version of this paper has circulated as a preprint for some years. Due to a few recent requests of the paper made to the author, the current version is prepared with some minor notations changed.}] Let $F$ be a number field, $X$ be a $n$-dimensional ...
{ "timestamp": "2021-05-11T02:19:43", "yymm": "2105", "arxiv_id": "2105.03916", "language": "en", "url": "https://arxiv.org/abs/2105.03916" }
\section{Introduction} \label{Sec:introduction} In the super-Higgs mechanism, a spin $1/2$ fermion, the goldstino, combines with the gravitino and provides it with the appropriate number of degrees of freedom for a massive spin 3/2 \cite{Fayet:1974jb,Volkov:1973jd,Fayet:1977vd,Deser:1977uq,Cremmer:1978hn}. When th...
{ "timestamp": "2021-05-11T02:15:25", "yymm": "2105", "arxiv_id": "2105.03784", "language": "en", "url": "https://arxiv.org/abs/2105.03784" }
\section{Introduction}\setcounter{equation}{0} The groundbreaking work \cite{LYZActa} by Huang, Lutwak, Yang and Zhang provides an extraordinarily beautiful connection between the Brunn-Minkowski theory for convex bodies and its dual. Among the most elegant concepts in \cite{LYZActa} are the $q$-th dual curvature mea...
{ "timestamp": "2021-05-11T02:20:54", "yymm": "2105", "arxiv_id": "2105.03952", "language": "en", "url": "https://arxiv.org/abs/2105.03952" }
\section{Introduction} \subsection{Background} Let $X$ and $Y$ be metric spaces. A map $\phi: X \to Y$ is a quasiisometry if there exists $\lambda \geqslant 1$ and $c \geqslant 0$ such that $\lambda^{-1} d(x,x') - c \leqslant d(\phi(x), \phi(x')) \leqslant \lambda d(x,x') + c$ and for every $y$ in $Y$, $d(y, \phi(X...
{ "timestamp": "2021-05-18T02:34:13", "yymm": "2105", "arxiv_id": "2105.03955", "language": "en", "url": "https://arxiv.org/abs/2105.03955" }
\section{Introduction} Block designs play a major role in combinatorics and finite geometry, and have many applications in statistics, specifically in the design of experiments. In~\cite{ADP}, Amarra, Devillers and Praeger have recently constructed families of highly symmetric $2$-designs which maximise certain parame...
{ "timestamp": "2021-06-07T02:18:35", "yymm": "2105", "arxiv_id": "2105.03915", "language": "en", "url": "https://arxiv.org/abs/2105.03915" }
\section{Introduction}\label{sec:introduction} Economists are often tasked with predicting agent outcomes under some counterfactual policy or treatment assignment. In many cases, the counterfactual depends on how the agents are linked in a social or economic network. A diverse literature on treatment spillovers, social...
{ "timestamp": "2021-05-13T02:05:53", "yymm": "2105", "arxiv_id": "2105.03810", "language": "en", "url": "https://arxiv.org/abs/2105.03810" }
\section{Omitted data} Subject eleven denoted two jobs, his PhD and his corporate activity. As we interviewed him in his function in the company, we dropped the information about the PhD in the table. We also initially asked participants to rate their familiarity with theoretical and practical ML topics and algorithms...
{ "timestamp": "2021-05-11T02:13:08", "yymm": "2105", "arxiv_id": "2105.03726", "language": "en", "url": "https://arxiv.org/abs/2105.03726" }
\section{ Introduction: Coercive Inequalities Problem on Nilpotent Lie Groups} \label{Sec.1} \noindent Let $\mathbb{G}$ be a Carnot group with a given $n\in\mathbb{N}$ dependent on the group, let $\nabla\equiv (X_i)_{i=1,..,n}$, and $\Delta \equiv \sum_{i=1,..,n} X_i^2 $ denote the corresponding sub-gradient and su...
{ "timestamp": "2021-05-11T02:19:57", "yymm": "2105", "arxiv_id": "2105.03922", "language": "en", "url": "https://arxiv.org/abs/2105.03922" }
\section{Introduction} Generalizing the classical notion of (conditional) entropy from ergodic theory, Connes and St\o rmer in \cite{CS} defined a relative entropy $H(B_1|B_2)$ between a pair of finite dimensional $C^*$-subalgebras of a finite von Neumann algebra $M$ with a fixed faithful normal trace $\mathrm{tr}$. Ho...
{ "timestamp": "2021-05-20T02:21:17", "yymm": "2105", "arxiv_id": "2105.03914", "language": "en", "url": "https://arxiv.org/abs/2105.03914" }
\section{Introduction} In recent years, error correction techniques~\citep{anantaram2018repairing,d2016automatic,liao2020improving,mani2020asr,shivakumar2019learning} have been widely adopted to refine the output sentences from an ASR model for further WER reduction. Error correction, a typical sequence to sequence tas...
{ "timestamp": "2021-06-04T02:08:31", "yymm": "2105", "arxiv_id": "2105.03842", "language": "en", "url": "https://arxiv.org/abs/2105.03842" }
\section{The proof of Stochastic Value Policy Gradient Theorem} \label{app:derivation-of-svg} Here is the proof of stochastic value policy gradient theorem. \begin{proof} \begin{equation*} \begin{aligned} &\frac{\mathrm{d}}{\mathrm{d}\theta_\pi} \rho(\theta_\pi)\\ =& (1 - \gamma)\int_{s} p...
{ "timestamp": "2021-05-11T02:13:18", "yymm": "2105", "arxiv_id": "2105.03733", "language": "en", "url": "https://arxiv.org/abs/2105.03733" }
\section{Introduction} \label{sec_intro} Most of the solar flares emanate from active regions (ARs) -- sites where strong magnetic fields penetrate from the convection zone to the solar atmosphere. It is widely accepted that the energy released during solar flares is stored in the form of free magnetic energy caused b...
{ "timestamp": "2021-05-11T02:18:59", "yymm": "2105", "arxiv_id": "2105.03886", "language": "en", "url": "https://arxiv.org/abs/2105.03886" }
\section{Introduction} The way in which massive galaxies build their stellar populations, and achieve this earlier than lower mass populations, remains an important question in the study of galaxy evolution. Theoretical models (e.g., \citealt{Somerville1999}, \citealt{Cole2000}, \citealt{Bower2006}, \citealt{Croton2006...
{ "timestamp": "2021-05-11T02:14:40", "yymm": "2105", "arxiv_id": "2105.03766", "language": "en", "url": "https://arxiv.org/abs/2105.03766" }
\section{Introduction}\label{sec:introduction} \IEEEPARstart{I}{mage} anomaly localization is a technique that identifies the anomalous region of input images at the pixel level. It finds real-world applications such as manufacturing process monitoring \cite{scime2018anomaly}, medical image diagnosis \cite{schlegl201...
{ "timestamp": "2021-05-11T02:15:52", "yymm": "2105", "arxiv_id": "2105.03797", "language": "en", "url": "https://arxiv.org/abs/2105.03797" }
\section{Introduction} The characteristics such as the non-homogeneity of the fault itself and the complex formation mechanism and its important role in the process of oil-gas development determine that the prediction of fault reservoir has always been an important subject in oil-gas exploration, and fault detection is...
{ "timestamp": "2021-05-21T02:19:57", "yymm": "2105", "arxiv_id": "2105.03857", "language": "en", "url": "https://arxiv.org/abs/2105.03857" }
\section{INTRODUCTION} In robot-assisted minimally-invasive surgery (RAMIS), surgeons use robotic manipulators to control the movements of instruments, which are inserted into patients' bodies via small incisions \cite{maesoEfficacyVinciSurgical2010}. RAMIS offers many advantages over open surgery \cite{moorthyDexterit...
{ "timestamp": "2021-05-11T02:19:47", "yymm": "2105", "arxiv_id": "2105.03917", "language": "en", "url": "https://arxiv.org/abs/2105.03917" }
\section{Introduction} Transformer-based models \cite{vaswani2017attention} are ubiquitously state-of-art across many natural language processing (NLP) tasks, including summarization. To achieve the best results, the community has trained ever larger transformer models on larger amount of data, and/or more task-specifi...
{ "timestamp": "2021-06-01T02:11:19", "yymm": "2105", "arxiv_id": "2105.03801", "language": "en", "url": "https://arxiv.org/abs/2105.03801" }
\section{Introduction} Reading someone else's handwriting is often a challenging task; some of the characters are unclear, the text is cursive, there is background clutter and the image quality can be low. When deciphering each character, we often rely on the surrounding area to compensate for the occasional obscurity ...
{ "timestamp": "2021-05-11T02:19:31", "yymm": "2105", "arxiv_id": "2105.03906", "language": "en", "url": "https://arxiv.org/abs/2105.03906" }
\section{INTRODUCTION} Operating in disruptive and failure-prone environments is a fundamental requirement for achieving real-world autonomy in robotics systems~\cite{thrun2002probabilistic}. These disruptions can either be adversarial---such as in defense and security applications~\cite{sless2014multi,renganathan2017...
{ "timestamp": "2021-05-11T02:16:30", "yymm": "2105", "arxiv_id": "2105.03813", "language": "en", "url": "https://arxiv.org/abs/2105.03813" }
\section{} and \subsection{} commands, these will automatically be printed on this slide as an overview of your presentation \tableofcontents \end{frame} \section{Background} \subsection{Unsupervised Representation Learning} \begin{frame}{Unsupervised Representation Learning} \begin{itemize} \item Unsu...
{ "timestamp": "2021-06-30T02:10:27", "yymm": "2105", "arxiv_id": "2105.03746", "language": "en", "url": "https://arxiv.org/abs/2105.03746" }
\section{Introduction} \label{sec:intro} \begin{figure}[t] \centering \includegraphics[width=0.9\linewidth]{assets/performance_v3.pdf} \vspace{-1.2em} \caption{\textbf{Training and Prediction Performance of Regularized NDEs} We obtain an average training and prediction speedup of $1.45$x and $1.84$x re...
{ "timestamp": "2021-05-11T02:19:48", "yymm": "2105", "arxiv_id": "2105.03918", "language": "en", "url": "https://arxiv.org/abs/2105.03918" }
\section{Introduction} Reading comprehension is the ability to understand a passage either by human or machine. One of the great benchmarks to evaluate this ability is to try to answer specific questions related to the passage \cite{DBLP:conf/emnlp/RajpurkarZLL16}. Generally, this problem can contain single or multipl...
{ "timestamp": "2021-05-11T02:15:05", "yymm": "2105", "arxiv_id": "2105.03775", "language": "en", "url": "https://arxiv.org/abs/2105.03775" }
\section{Background} \label{sec:back} \subsection{Graph Mining Problem} \label{sec:mining_basic} A graph $G$ is defined as $G=(V,E)$, in which $V$ and $E$ are the set of graph vertices and edges. An edge $(u,v)$ indicates that vertex $u$ and $v$ are directly connected in $G$. Similar to other systems~\cite{teixeir...
{ "timestamp": "2021-05-11T02:15:37", "yymm": "2105", "arxiv_id": "2105.03789", "language": "en", "url": "https://arxiv.org/abs/2105.03789" }
\subsubsection{Motivation} \paragraph{For what purpose was the dataset created?} The dataset was created for the purpose of extending the range of existing VL-NLE datasets with a large-scale dataset that requires fine-grained reasoning. \vspace{-2.5ex} \paragraph{Who created the dataset (e.g., which team, research gro...
{ "timestamp": "2021-05-11T02:14:22", "yymm": "2105", "arxiv_id": "2105.03761", "language": "en", "url": "https://arxiv.org/abs/2105.03761" }
\section{Introduction} Dirac is reported to have remarked in one of his talks that his equation was more intelligent than its author. But, as noted by Victor Weisskopf~\cite{Weisskopf1981}, it must be added that it was Dirac himself who found most of the additional insights. The concept of Majorana fermion, which also ...
{ "timestamp": "2021-05-11T02:14:53", "yymm": "2105", "arxiv_id": "2105.03769", "language": "en", "url": "https://arxiv.org/abs/2105.03769" }
\section{Introduction} \IEEEPARstart{D}{uring} the recent years, with the standardization of the 5G new radio (NR) communication systems and the ongoing resurgence of satellite communications (SatCom), the integration of satellite and terrestrial 5G networks is considered as a promising approach for future mobile co...
{ "timestamp": "2021-05-11T02:18:10", "yymm": "2105", "arxiv_id": "2105.03858", "language": "en", "url": "https://arxiv.org/abs/2105.03858" }
\section*{Introduction} Hilbert $C^*$-modules (\cite{Paschke}) are a natural generalization of Hilbert spaces, in which the ``scalar'' product takes values in some $C^*$-algebra instead of the field of complex numbers. Although many properties of Hilbert $C^*$-modules are similar to those of Hilbert spaces, there ...
{ "timestamp": "2021-05-11T02:14:26", "yymm": "2105", "arxiv_id": "2105.03764", "language": "en", "url": "https://arxiv.org/abs/2105.03764" }
\section{Experimental Results} \label{sec::dataAnalysis} In this section, we first represent and analyze the measured metrics regarding the serving cell signal. The measured and analyzed metrics are RSRP, RSRQ, RSSI, SINR, downlink throughput, and uplink throughput. We then compare the RSRP and RSRQ between the servin...
{ "timestamp": "2021-05-11T02:15:18", "yymm": "2105", "arxiv_id": "2105.03778", "language": "en", "url": "https://arxiv.org/abs/2105.03778" }
\section{Introduction} Since the perturbative QCD (PQCD) framework for three-body $B$ meson decays was proposed in~\cite{Chen:2002th}, there have been extensive applications to various channels~\cite{epjc77199,prd99093007,epjc79792,cpc43073103,epjc80394,epjc80517,epjc8191,prd103013005, prd95056008,epjc7937,prd10301600...
{ "timestamp": "2021-05-11T02:19:13", "yymm": "2105", "arxiv_id": "2105.03899", "language": "en", "url": "https://arxiv.org/abs/2105.03899" }
\section{Introduction} Image super-resolution (SR) is a low-level vision problem that reconstructs a single low-resolution (LR) image to a high-resolution (HR) image. This problem is ill-posed since multiple HR images can degrade to the same LR image. Many deep-learning-based methods have been proposed to address thi...
{ "timestamp": "2021-05-11T02:20:31", "yymm": "2105", "arxiv_id": "2105.03939", "language": "en", "url": "https://arxiv.org/abs/2105.03939" }
\section{Introduction} \label{sec:intro} \vspace{-0.3cm} Over the past decade, neural networks have shown remarkable performance in various fields~\cite{he2016deep, simonyan2014very}. In particular, this structure transforms high-dimensional data into low-dimensional latent space by taking advantage of non-linear tran...
{ "timestamp": "2021-05-11T02:19:12", "yymm": "2105", "arxiv_id": "2105.03897", "language": "en", "url": "https://arxiv.org/abs/2105.03897" }
\section{Introduction and preliminaries} The cosmic censorship hypothesis of Roger Penrose is one of the most outstanding conjectures in the gravitational theory to find the final fate of the gravitational collapse of a massive star. According to a given observer, this conjecture asserts there can be no naked singulari...
{ "timestamp": "2021-05-11T02:13:14", "yymm": "2105", "arxiv_id": "2105.03730", "language": "en", "url": "https://arxiv.org/abs/2105.03730" }
\section{Introduction} \hspace{0.25in} A triangle with rational sides and rational area is called a rational triangle. Diophantine problems concerning rational triangles have attracted considerable attention. For instance, several mathematicians have considered the problem of finding two rational triangles with a...
{ "timestamp": "2021-05-11T02:16:43", "yymm": "2105", "arxiv_id": "2105.03816", "language": "en", "url": "https://arxiv.org/abs/2105.03816" }
\section{Introduction} \label{sec:intro} Black holes in Einstein-Skyrme model are the evidence of counterexamples to the no-hair conjecture for black holes which states that a black hole can only be characterized by its mass and its electric and magnetic charges. These objects up to now have been studied mostly ...
{ "timestamp": "2021-05-11T02:18:01", "yymm": "2105", "arxiv_id": "2105.03853", "language": "en", "url": "https://arxiv.org/abs/2105.03853" }
\section{Introduction} Quantitative investment analysis \cite{guida2019big} is the use of mathematical and statistical methods to assist investors in making profitable investment decisions. With the help of high-performance computer technology \cite{High-Frequency}, we can effectively analyze huge amounts of fin...
{ "timestamp": "2021-05-11T02:17:36", "yymm": "2105", "arxiv_id": "2105.03844", "language": "en", "url": "https://arxiv.org/abs/2105.03844" }