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\section{Introduction} \begin{figure}[t] \begin{subfigure}{.32\textwidth} \centering \includegraphics[width=\linewidth]{figs/NonSmth3D.png} \end{subfigure} \begin{subfigure}{.32\textwidth} \centering \includegraphics[width=\linewidth]{figs/Lasso3D.png} \end{subfigure} \begin{subfigure}{.32\textwidth} ...
{ "timestamp": "2020-12-29T02:21:46", "yymm": "2012", "arxiv_id": "2012.14017", "language": "en", "url": "https://arxiv.org/abs/2012.14017" }
\section{Introduction} \qquad The exterior Dirichlet problem (EDP)\ for the minimal surface equation consists on the study of existence/nonexistence and uniqueness of solutions of the PDE boundary problem% \begin{equation} \left\{ \begin{array} [c]{l}% \mathcal{M}\left( u\right) :=\operatorname{div}\left( \frac{\na...
{ "timestamp": "2021-09-13T02:02:49", "yymm": "2012", "arxiv_id": "2012.14003", "language": "en", "url": "https://arxiv.org/abs/2012.14003" }
\section*{Acknowledgments} SM, CHS-T and HW are financed in part through the NExT Institute. SM is also funded by the STFC consolidated Grant No. ST/L000296/1. HW acknowledges financial support from the Magnus Ehrnrooth Foundation, the Finnish Academy of Sciences and Letters and STFC Rutherford Intern...
{ "timestamp": "2021-05-24T02:15:18", "yymm": "2012", "arxiv_id": "2012.14034", "language": "en", "url": "https://arxiv.org/abs/2012.14034" }
\section{Introduction} The Supermembrane theory was originally expected to describe the microscopic degrees of freedom of M-theory, however when formulated on 11D Minkowski background it has a continuous spectrum from $[0,+\infty)$ \cite{deWit6,deWit2}. This behavior does not change just by circle compactifications ...
{ "timestamp": "2021-11-09T02:38:23", "yymm": "2012", "arxiv_id": "2012.14069", "language": "en", "url": "https://arxiv.org/abs/2012.14069" }
\section{Introduction} \label{sec:intro} The dependence of physical observables on the topological parameter $\theta$ is one of the most interesting properties of four dimensional $SU(N)$ pure-gauge theories. The parameter is coupled in the action to the topological charge \begin{eqnarray} \label{eq:cont_def_topochar...
{ "timestamp": "2021-02-08T02:19:44", "yymm": "2012", "arxiv_id": "2012.14000", "language": "en", "url": "https://arxiv.org/abs/2012.14000" }
\section{Introduction} \label{sec:2} The statistican observes a dataset of $n$ i.i.d. realizations of an outcome random variable $y_i$, a random vector of covariates $d_i$ with support in $\mathbb{R}^{K}$ and a random vector of controls $x_i$ with support in $\mathbb{R}^p$. $K$ is fixed while $p=p_n$ is allowed to go ...
{ "timestamp": "2021-02-08T02:18:15", "yymm": "2012", "arxiv_id": "2012.14118", "language": "en", "url": "https://arxiv.org/abs/2012.14118" }
\section{Introduction} In traditional ad-hoc retrieval, queries and documents are represented by variants of bag-of-words representations. This leads to the so called vocabulary mismatch problem: when a query contains words that do not exactly match words in a relevant document, the search engine may fail to retrieve t...
{ "timestamp": "2020-12-29T02:21:23", "yymm": "2012", "arxiv_id": "2012.14005", "language": "en", "url": "https://arxiv.org/abs/2012.14005" }
{ "timestamp": "2020-12-29T02:23:39", "yymm": "2012", "arxiv_id": "2012.14063", "language": "en", "url": "https://arxiv.org/abs/2012.14063" }
\section{Introduction}\label{sec: Intro} Large-scale natural flows such as atmospheric ones, as well as a wide variety of engineering applications, are among many systems that are substantially influenced by turbulence. Nonlinearity and stochastisity are two inherent elements of fluid dynamics that when significantly ...
{ "timestamp": "2021-07-12T02:21:50", "yymm": "2012", "arxiv_id": "2012.14027", "language": "en", "url": "https://arxiv.org/abs/2012.14027" }
\section{Introduction} \label{thintro} Shot noise of nonequilibrium quantized charge current fluctuations carries much rich information beyond the average current \cite{Bla001,Imr02,Bee0337,Naz03}. The study of current noise in transport through mesoscopic devices becomes a field of intensive theoretical and ...
{ "timestamp": "2020-12-29T02:25:05", "yymm": "2012", "arxiv_id": "2012.14102", "language": "en", "url": "https://arxiv.org/abs/2012.14102" }
\section{Introduction} Black hole thermodynamics has been developed on the understanding of black holes and quantum physics \cite{Bekenstein:1973ur,Bekenstein:1974ax,Hawking:1974sw,Hawking:1976de,Grumiller:2014qma . In the extended phase space, the cosmological constant can be considered as a thermodynamic variab...
{ "timestamp": "2021-05-07T02:06:42", "yymm": "2012", "arxiv_id": "2012.14206", "language": "en", "url": "https://arxiv.org/abs/2012.14206" }
\section{Introduction} The main theme of this paper and its companion \cite{oim_copain} is the Landau levels of compact manifolds. For a physicist, the Landau quantization refers to a charged particle confined to two dimensions and exposed to a magnetic field. It has discrete energy levels connected by ladder operat...
{ "timestamp": "2022-04-22T02:20:44", "yymm": "2012", "arxiv_id": "2012.14190", "language": "en", "url": "https://arxiv.org/abs/2012.14190" }
\section{Introduction} \IEEEPARstart{I}{n} recent years, thanks to the increasingly ubiquitous deployment of WiFi infrastructure and the open-source software \cite{Tool}, human sensing based on WiFi Channel State Information (CSI) has gained significant attention \cite{track} \cite{wirol} \cite{fall}. To achieve mor...
{ "timestamp": "2020-12-29T02:23:41", "yymm": "2012", "arxiv_id": "2012.14066", "language": "en", "url": "https://arxiv.org/abs/2012.14066" }
\section{Introduction} Two hundred and sixty five years ago, Euler introduced the equations for an inviscid, incompressible, three-dimensional (3D) fluid in \textit{Principes g\'en\'eraux du mouvement des fluides}~\cite{euler1755,euler2008,aussois}. The incompressible Euler partial differential equation (PDE) and its ...
{ "timestamp": "2022-07-06T02:15:03", "yymm": "2012", "arxiv_id": "2012.14182", "language": "en", "url": "https://arxiv.org/abs/2012.14182" }
\section{Code book for Thematic Analysis} \input{treeMap} \newpage \section{An Integrated Experiential Learning Approach for Software Engineering Courses} \label{sec:approach} In previous instances of our project management component in a Software Engineering course, the students worked in a fully-fledged, tradi...
{ "timestamp": "2021-01-21T02:12:51", "yymm": "2012", "arxiv_id": "2012.14178", "language": "en", "url": "https://arxiv.org/abs/2012.14178" }
\section*{Introduction} \label{sec:intro} Let $X$ be a smooth projective toric variety over an algebraically closed field $k$ with Cox ring $S$ and irrelevant ideal $B$ (see \cite[\S5.2]{cox-little-schenck}). The Cox ring $S$ is a positively $\operatorname{Pic}(X)$-graded polynomial ring, i.e., $\operatorname{Pic}(X...
{ "timestamp": "2021-08-02T02:06:59", "yymm": "2012", "arxiv_id": "2012.14047", "language": "en", "url": "https://arxiv.org/abs/2012.14047" }
\section{Introduction} \label{sec:intro} The ultracool dwarfs (hereafter UCDs) are stars with spectral types later than M7 and mass below 0.3M$_\odot$. Empirically, UCDs are found to have weak chromospheric emission (Gizis et al., 2000; Basri 2000) and be dim in the X-ray wavelength. But the occurrence of flares on...
{ "timestamp": "2020-12-29T02:26:10", "yymm": "2012", "arxiv_id": "2012.14126", "language": "en", "url": "https://arxiv.org/abs/2012.14126" }
\section{Introduction}\lb{sec1} \smallskip Let $V$ be a vector space equipped with a bilinear nondegenerate (symmetric or antisymmetric) form. The Brauer algebra \cite{Br} generalizes the tower of the centralizing algebras which appears in the Brauer--Schur--Weyl duality, related to $V$. The Birman--Murakami--Wenzl ...
{ "timestamp": "2020-12-29T02:21:41", "yymm": "2012", "arxiv_id": "2012.14014", "language": "en", "url": "https://arxiv.org/abs/2012.14014" }
\section{Introduction} \input{secs/introduction} \iftr \section{Platform Model} \label{sec:platform_model} \input{secs/faas} \section{Benchmark Specification} \label{sec:bench_spec} \input{secs/benchmark-specification} \section{Benchmark Implementation} \label{sec:bench_impl} \input{secs/benchmar...
{ "timestamp": "2021-07-05T02:06:08", "yymm": "2012", "arxiv_id": "2012.14132", "language": "en", "url": "https://arxiv.org/abs/2012.14132" }
\section{Introduction} \label{sec:introduction} In recent years, there has been a growing interest in estimating different metrics of information theory related to parametric distributions. The Shannon entropy, also known as differential entropy, introduced by Claude Shannon \cite{shannon1948mathematical}, is an esse...
{ "timestamp": "2020-12-29T02:24:21", "yymm": "2012", "arxiv_id": "2012.14081", "language": "en", "url": "https://arxiv.org/abs/2012.14081" }
\section{Introduction} In probability theory~\cite{Feller}, full counting statistics are generating functions for the cumulants of a random variable. After the recent groundbreaking advances with cold atom experiments~\cite{exprev, exp1, exp2, exp3}, their calculation has become of increasing relevance in one-dimension...
{ "timestamp": "2021-04-09T02:01:40", "yymm": "2012", "arxiv_id": "2012.14012", "language": "en", "url": "https://arxiv.org/abs/2012.14012" }
\section{Introduction}\label{sec1} The occurrence of neutrino flavour oscillations has been, undoubtedly, experimentally demonstrated~\cite{deSalas:2017kay}. Of special interest here is that, it has become clear in recent years that for the analysis of neutrino oscillations in matter, e.g. the Mikheyev-Smirnov-Wolfens...
{ "timestamp": "2020-12-29T02:22:46", "yymm": "2012", "arxiv_id": "2012.14046", "language": "en", "url": "https://arxiv.org/abs/2012.14046" }
\subsection{Graph Convolutional Networks on Unsigned Graphs} Graph convolutional network (GCN)~\citep{DBLP:conf/iclr/KipfW17} models the latent representation of a node by employing a convolutional operation on the features of its neighbors. Various GCN-based approaches~\citep{DBLP:conf/iclr/KipfW17,DBLP:conf/iclr/Ve...
{ "timestamp": "2020-12-29T02:27:50", "yymm": "2012", "arxiv_id": "2012.14191", "language": "en", "url": "https://arxiv.org/abs/2012.14191" }
\subsection{Accuracy Analysis} \label{sec:eval-accuracy} In the first experiment, we aim to answer \textbf{RQ1.} \textit{What is the impact of different detector generation strategies on the misuse detection accuracy?} As explained in Section \ref{sec:approach}, API misuse detectors can be generated using different s...
{ "timestamp": "2020-12-29T02:23:57", "yymm": "2012", "arxiv_id": "2012.14078", "language": "en", "url": "https://arxiv.org/abs/2012.14078" }
\section{Introduction} Synchronization of oscillators, especially synchronization in complex networks \cite{Arenas2008}, has been recognized as one of the important phenomena in nature. Among the different models of oscillator dynamics, the Kuramoto model \cite{Kuramoto1987}, and its various generalizations \cite{Rodr...
{ "timestamp": "2020-12-29T02:24:30", "yymm": "2012", "arxiv_id": "2012.14088", "language": "en", "url": "https://arxiv.org/abs/2012.14088" }
\section{Introduction} The system characterized by the $2$ \textit{nonlinearly-coupled} ODEs \begin{subequations} \label{1} \begin{eqnarray} \dot{x}_{n}\left( t\right) =c_{n1}\left[ x_{1}\left( t\right) \right] ^{2}+c_{n2}x_{1}\left( t\right) x_{2}\left( t\right) +c_{n3}\left[ x_{2}\left( t\right) \right] ^{2}...
{ "timestamp": "2020-12-29T02:22:02", "yymm": "2012", "arxiv_id": "2012.14021", "language": "en", "url": "https://arxiv.org/abs/2012.14021" }
\section{Introduction} Knowledge distillation (KD) \citep{bucilua2006model,hintonkd} is a commonly-used technique to reduce the size of large neural networks \citep{Sanh2019DistilBERTAD}. Apart from this, we also consider it as a complementary and generic add-on to enrich the training process of any neural model \cite{...
{ "timestamp": "2020-12-29T02:22:07", "yymm": "2012", "arxiv_id": "2012.14022", "language": "en", "url": "https://arxiv.org/abs/2012.14022" }
\section{Introduction}\label{int} This article is a further step in a program of investigation of the infrared problems in electrodynamics. Among them, the long-time asymptotic behavior of the charged matter fields is one of the key issues. Such questions as understanding what is a charged particle, or how to def...
{ "timestamp": "2020-12-29T02:27:29", "yymm": "2012", "arxiv_id": "2012.14170", "language": "en", "url": "https://arxiv.org/abs/2012.14170" }
\section{Introduction} Manifold learning is broadly concerned with analyzing high-dimensional data sets that have a low intrinsic dimensionality. The standard assumption is that the input data set $\mathcal{X} = \{{\bf x}_1, \ldots, {\bf x}_n\} \subseteq \mathbb{R}^D$ lies on or near a $d$-dimensional submanifold ${...
{ "timestamp": "2021-07-19T02:05:22", "yymm": "2012", "arxiv_id": "2012.14172", "language": "en", "url": "https://arxiv.org/abs/2012.14172" }
\section{Introduction} This paper will address some of the challenges and possibilities of exoplanet detection and classification for future exosolar system missions. Future missions may allow for travel far outside of our solar system, as well as deep into our own solar system, where return bandwidth will be severely ...
{ "timestamp": "2020-12-29T02:24:39", "yymm": "2012", "arxiv_id": "2012.14092", "language": "en", "url": "https://arxiv.org/abs/2012.14092" }
\section{Introduction} Two classfiles namely \file{cas-sc.cls} and \file{cas-dc.cls} were written for typesetting articles submitted in journals of Elsevier's Complex Article Service (CAS) workflow. \subsection{Usage} \begin{enumerate} \item \file{cas-sc.cls} for single column journals. \begin{vquote} \documentclas...
{ "timestamp": "2020-12-29T02:27:30", "yymm": "2012", "arxiv_id": "2012.14171", "language": "en", "url": "https://arxiv.org/abs/2012.14171" }
\section{Introduction} A. J. Hoffman determined in \cite{hoffman} the limit points of spectral radii of non-negative symmetric integral matrices less than $\sqrt{2+\sqrt{5}}$. His strategy essentially consisted in reducing the problem to the adjacency matrices of graphs. Hoffman's result, which is Theorem~\ref{hoffm...
{ "timestamp": "2020-12-29T02:24:33", "yymm": "2012", "arxiv_id": "2012.14090", "language": "en", "url": "https://arxiv.org/abs/2012.14090" }
\section{Introduction} \label{Introduction} Given an $m\times n$ random matrix $A$, the uniform deviation ineqality plays an important role in theory of random matrices. Also it has many interesting and important consequences. We first quote a classical result due to G. Schechtman \cite{Schechtman} for i.i.d ensemble G...
{ "timestamp": "2022-09-20T02:20:23", "yymm": "2012", "arxiv_id": "2012.14082", "language": "en", "url": "https://arxiv.org/abs/2012.14082" }
\section{Introduction} \label{sec:introduction} In the era of the Large Electron Positron (LEP) collider~\cite{Heister:2003aj,Abdallah:2004xe,Achard:2004sv,Abbiendi:2004qz} at CERN and the Stanford Linear Collider (SLC)~\cite{Abe:1994mf} at SLAC, energy-energy correlation function (EEC)~\cite{Basham:1978bw} never enj...
{ "timestamp": "2021-03-02T02:53:46", "yymm": "2012", "arxiv_id": "2012.14188", "language": "en", "url": "https://arxiv.org/abs/2012.14188" }
\section{Introduction} \noindent Learning dialogue policies are typically formulated as a reinforcement learning (RL) problem \cite{SuttonB98, YoungGTW13}. However, dialogue policy learning via RL from scratch in real-world dialogue scenarios is expensive and time-consuming, because it requires real users to interac...
{ "timestamp": "2020-12-29T02:23:50", "yymm": "2012", "arxiv_id": "2012.14072", "language": "en", "url": "https://arxiv.org/abs/2012.14072" }
\section{Introduction} One of the most important logical property of discrete systems is \emph{liveness}. A system is \emph{live} for a given initial state (marking) if it will never reach a (partially) blocking state. In Petri net (PN) literature, liveness analysis has been extensively studied and there exist many res...
{ "timestamp": "2020-12-29T02:28:03", "yymm": "2012", "arxiv_id": "2012.14199", "language": "en", "url": "https://arxiv.org/abs/2012.14199" }
\section{Introduction} Autonomous vehicles, especially Unmanned Aerial Vehicles (UAVs), have attracted tremendous research interests in recent years due to their potential in improving efficiency and safety in many military and civilian applications \cite{cai2014survey}. {\color{blue} One fundamental prerequisite...
{ "timestamp": "2022-07-28T02:05:14", "yymm": "2012", "arxiv_id": "2012.14053", "language": "en", "url": "https://arxiv.org/abs/2012.14053" }
\section{Introduction} Microarchitectural attacks, such as Spectre~\cite{Kocher2018spectre}, Meltdown~\cite{meltdown2018}, Foreshadow~\cite{vanbulck2018foreshadow}, RIDL~\cite{ridl2019}, and ZombieLoad~\cite{zombieload2019}, exploit the abstraction gap between the Instruction Set Architecture (ISA) and how instructio...
{ "timestamp": "2020-12-29T02:28:15", "yymm": "2012", "arxiv_id": "2012.14205", "language": "en", "url": "https://arxiv.org/abs/2012.14205" }
\section{Introduction} It is known from the studies of AdS/CFT correspondence that the charged black holes in gravitational theory corresponds to states at finite temperature with nonzero charge density or non-zero chemical potential in the dual field theory \cite{Maldacena:1997re}. The black hole is made charged vi...
{ "timestamp": "2021-04-21T02:18:36", "yymm": "2012", "arxiv_id": "2012.14125", "language": "en", "url": "https://arxiv.org/abs/2012.14125" }
\section{\normalsize Introduction} \label{secIn} In classical mechanics one has inertial reference frames as preferred ones. The description of motion in such frames usually is simpler than in the case of use of noninertial frames. In the last case one must introduce the so called inertial forces f...
{ "timestamp": "2021-05-05T02:13:52", "yymm": "2012", "arxiv_id": "2012.14110", "language": "en", "url": "https://arxiv.org/abs/2012.14110" }
\section{Introduction} Let $E$ be a topological space and $\left\{ X_{t} \right\}_{0 \leqslant t \leqslant 1}$ be an $E$-valued stochastic process with continuous paths such that $X_{0} = x_{0} \in E$ a.s. Denote by $W_{x_0}\left( E \right)$ the space of $E$-valued continuous functions on $[0, 1]$ starting at $x_0...
{ "timestamp": "2022-02-04T02:01:06", "yymm": "2012", "arxiv_id": "2012.14045", "language": "en", "url": "https://arxiv.org/abs/2012.14045" }
\section{Introduction} To mitigate the devastating effects of the coronavirus disease 2019 (COVID-19) pandemic that was spreading rapidly across Europe in the first months of 2020, countries imposed the only available, centuries-old public health interventions for contagious infectious diseases of major public health i...
{ "timestamp": "2020-12-29T02:27:51", "yymm": "2012", "arxiv_id": "2012.14192", "language": "en", "url": "https://arxiv.org/abs/2012.14192" }
\section{\@startsection {section}{1}{\zeta@}% {-3.5ex \@plus -1ex \@minus -.2ex {2.3ex \@plus.2ex}% {\normalfont\large\bfseries}} \renewcommand\subsection{\@startsection{subsection}{2}{\zeta@}% ...
{ "timestamp": "2021-02-03T02:03:04", "yymm": "2012", "arxiv_id": "2012.14006", "language": "en", "url": "https://arxiv.org/abs/2012.14006" }
\section{Introduction} \IEEEPARstart{R}{econfigurable} intelligent surface (RIS) technology is a very promising and cost-effective solution to improve the spectrum and energy efficiency of wireless communication systems {\cite{8936989, 8741198, Liu2012:Energy, 9366805}}. With the assistance of a smart controller, th...
{ "timestamp": "2021-09-22T02:10:10", "yymm": "2012", "arxiv_id": "2012.14058", "language": "en", "url": "https://arxiv.org/abs/2012.14058" }
\section{title} \renewcommand\subset{\subseteq} \renewcommand\supset{\supseteq} \title{Diophantine sets in general are Cantor sets} \author{Fernando Argentieri} \begin{document} \maketitle \begin{abstract} Let $ {\gamma} \in(0;\su{2}),\t\geq 1$ and define the ``$ {\gamma} ,\t$ Diophantine set" as: $$D_{\gamma,...
{ "timestamp": "2020-12-29T02:21:04", "yymm": "2012", "arxiv_id": "2012.13998", "language": "en", "url": "https://arxiv.org/abs/2012.13998" }
\section{Introduction} \label{intro} \blfootnote{ % % % % % \hspace{-0.65cm} This work is licensed under a Creative Commons Attribution 4.0 International License. License details: \url{http://creativecommons.org/licenses/by/4...
{ "timestamp": "2020-12-29T02:27:16", "yymm": "2012", "arxiv_id": "2012.14164", "language": "en", "url": "https://arxiv.org/abs/2012.14164" }
\section{Introduction}\label{Section:intro} For a profinite group $G$, let $\operatorname{Im}(G)$ be the set of isomorphism classes of finite quotients of $G$. We say that $G$ has the embedding property if for $A,B\in \operatorname{Im}(G)$, and for every epimorphisms $\Pi:A\rightarrow B$ and $\varphi:G\rightarrow B$, t...
{ "timestamp": "2020-12-29T02:26:46", "yymm": "2012", "arxiv_id": "2012.14149", "language": "en", "url": "https://arxiv.org/abs/2012.14149" }
\section{Introduction} Bibliography on translation surfaces is immense, we cite here only the celebrated handbooks of dynamical systems (see for instance~\cite{esk,for,hub,masur,masur2}), the nice survey~\cite{wri}, as well as~\cite{yoc} and~\cite{zor}, and references therein. Also, we refer to Section~\ref{s2} for p...
{ "timestamp": "2021-10-05T02:29:05", "yymm": "2012", "arxiv_id": "2012.14157", "language": "en", "url": "https://arxiv.org/abs/2012.14157" }
\section{Introduction} Benefitting from the great progresses in visual-tactile fused sensing~\cite{liu2018robotic,8460494,DBLP:conf/icra/LeeBL19}, researchers~\cite{zhang2019visual} attempt to focus on visual-tactile fused clustering (VTFC), which aims to group similar objects together in an unsupervised manner. \begin...
{ "timestamp": "2021-02-16T02:18:47", "yymm": "2012", "arxiv_id": "2012.14070", "language": "en", "url": "https://arxiv.org/abs/2012.14070" }
\section{Introduction and main results} \subsection{Introduction} We consider the self-adjoint Dirac operator $H$ on $L^2(\R_+,\C^2)$ given by $$ H y = -i \s_3 y' + i \s_3 Q y,\qq y = \ma y_1 \\ y_2 \am,\qq \s_3 = \ma 1 & 0 \\ 0 & -1 \am, $$ with the Dirichlet boundary condition $$ y_1(0) - y_2(0) = 0. $...
{ "timestamp": "2020-12-29T02:21:03", "yymm": "2012", "arxiv_id": "2012.13996", "language": "en", "url": "https://arxiv.org/abs/2012.13996" }
\section{Introduction} There is an increasing interest in deep learning for different pattern classification and recognition tasks \cite{sahbiicassp2015,sahbiicassp2019,sahbiacm2000}. These parametric models rely on deep neural networks, composed of several convolutional, pooling and fully connected layers, that captu...
{ "timestamp": "2020-12-29T02:27:45", "yymm": "2012", "arxiv_id": "2012.14186", "language": "en", "url": "https://arxiv.org/abs/2012.14186" }
\section{Conclusions} In this work, we propose a situation model with attributed grammar for algebra story problems. The experiment results on ASP6.6k indicate our model outperforms state-of-the-art models and shows better interpretability and generalization ability. Future work includes creating an intelligent tutor t...
{ "timestamp": "2020-12-29T02:21:37", "yymm": "2012", "arxiv_id": "2012.14011", "language": "en", "url": "https://arxiv.org/abs/2012.14011" }
\section{Introduction} \input{parts/01-introduction} \section{Related works} \label{related_work} \input{parts/02-related_works} \section{Model} \label{model} \input{parts/03-model} \section{Data} \label{data} \input{parts/04-data} \section{Comparison to state-of-the-art} \label{comparison_SOTA} \input{parts/05-...
{ "timestamp": "2021-03-30T02:46:36", "yymm": "2012", "arxiv_id": "2012.14163", "language": "en", "url": "https://arxiv.org/abs/2012.14163" }
\section{Introduction}\label{intro} More than 1.7 million people have died of COVID-19 \cite{covidmap}. With such catastrophic loss of life at risk, it is a top priority to identify effective measures to prevent the spread of COVID-19. Preventing the spread of COVID-19 has several challenges. Firstly, 44\% of COVID-19 ...
{ "timestamp": "2020-12-29T02:23:56", "yymm": "2012", "arxiv_id": "2012.14077", "language": "en", "url": "https://arxiv.org/abs/2012.14077" }
\section{Abstract object semantics} \label{sec:abstr-object-semant} The rules in \reffig{fig:surrey-opsem} provide a semantics for read, write and update operations for component programs within an executing context and can be used to model clients and libraries under RC11 RAR. These rules do not cover the behaviour of...
{ "timestamp": "2020-12-29T02:26:15", "yymm": "2012", "arxiv_id": "2012.14133", "language": "en", "url": "https://arxiv.org/abs/2012.14133" }
\section{Introduction and main result} Let $\Omega$ be a bounded domain in $\mathbb{R}^n$ with $C^{2}$ boundary, and let $D_{1}^{*}$ and $D_{2}^{*}$ be two open sets whose closure belongs to $\Omega$, touching only at the origin with the inner normal vector of $\partial{D}_{1}^{*}$ pointing in the positive $x_{n}$-dir...
{ "timestamp": "2020-12-29T02:23:33", "yymm": "2012", "arxiv_id": "2012.14056", "language": "en", "url": "https://arxiv.org/abs/2012.14056" }
\section{Introduction} Motivated by Masuda's equivariant cohomological rigidity result for toric symplectic manifolds \cite[Theorem 1.1]{M}, Franz--Yamanaka \cite{FY} recently showed that the isomorphism type of a GKM graph is encoded in its graph cohomology. Hence, for a GKM manifold, the equivariant cohomology contai...
{ "timestamp": "2020-12-29T02:22:34", "yymm": "2012", "arxiv_id": "2012.14038", "language": "en", "url": "https://arxiv.org/abs/2012.14038" }
\section{ Introduction} It is well known that perturbative QCD suffers a fundamental problem: the scattering amplitude decreases at large impact parameters ($b$) as a power of $b$. Such behaviour contradicts the Froissart theorem\cite{FROI} and, hence, perturbative QCD cannot lead to an effective theory at high energy...
{ "timestamp": "2020-12-29T02:26:31", "yymm": "2012", "arxiv_id": "2012.14139", "language": "en", "url": "https://arxiv.org/abs/2012.14139" }
\section{Introduction} Synchronization problem of multi-agent systems (MAS) has become a hot topic among researchers in recent years. Cooperative control of MAS is used in practical application such as robot network, autonomous vehicles, distributed sensor network, and others. The objective of synchronization is to se...
{ "timestamp": "2020-12-29T02:22:25", "yymm": "2012", "arxiv_id": "2012.14032", "language": "en", "url": "https://arxiv.org/abs/2012.14032" }
\section{Introduction} \subsection{Backgrounds} In the past decades, the number of smart devices has been massively deployed in numerous fields such as industrial IoT, nets of vehicles, environment monitoring networks. As an emerging paradigm for such distributed data systems, edge computing (EC), especially mobile e...
{ "timestamp": "2021-05-12T02:18:39", "yymm": "2012", "arxiv_id": "2012.14137", "language": "en", "url": "https://arxiv.org/abs/2012.14137" }
\section{Introduction} \label{intro} The Cauchy problem for the incompressible Navier-Stokes system in $\{(x,t)| x\in \mathbb{R}^3,t\geq 0 \} $ with given initial data and external force has the form \begin{equation}\label{NS} \begin{cases} u_{t}-\Delta u+(u \cdot \nabla) u+\nabla p =f, \\ \nabla\cdot u =0, \...
{ "timestamp": "2020-12-29T02:28:22", "yymm": "2012", "arxiv_id": "2012.14211", "language": "en", "url": "https://arxiv.org/abs/2012.14211" }
\section{introduction} Two pure $n$-qubit states $\ket{\phi_1}$ and $\ket{\phi_2}$ define the same entanglement if there is a local gate in the unitary group, a matrix $U=U_1\otimes\dots\otimes U_n$ with each $U_i$ a 2 by 2 unitary matrix, such that $\ket{\phi_2}=U\ket{\phi_1}$. This relation between $n$-qubits is an ...
{ "timestamp": "2020-12-29T02:22:24", "yymm": "2012", "arxiv_id": "2012.14031", "language": "en", "url": "https://arxiv.org/abs/2012.14031" }
\section{Introduction} \subsection{The setting} Let $(X,g)$ be a smooth Riemannian manifold of dimension $d$ without boundary, $(L,h^L)$ a Hermitian line bundle on $X$ with a Hermitian connection $\nabla^L$ and $(E,h^E)$ a Hermitian vector bundle of rank $r$ on $X$ with a Hermitian connection $\nabla^E$. We will suppos...
{ "timestamp": "2020-12-29T02:27:57", "yymm": "2012", "arxiv_id": "2012.14196", "language": "en", "url": "https://arxiv.org/abs/2012.14196" }
\section{Introduction} Non-hermitian Hamiltonian with real eihenvalues in the context of ${\mathcal {PT}}$ symmetry has become an interesting area of investigation for last couple of decades \cite{bender98, bender99, bender02, brody16, mosta02, brody14,moise11,baga15}. The present article stems from a recent study of...
{ "timestamp": "2020-12-29T02:25:05", "yymm": "2012", "arxiv_id": "2012.14101", "language": "en", "url": "https://arxiv.org/abs/2012.14101" }
\section{Introduction} The traveling salesman problem (TSP) finds a shortest \emph{Hamiltonian cycle} in a given complete graph with edge length, when a cycle is called \emph{Hamiltonian} (also called a \emph{tour}) if it visits every vertex exactly once. TSP is one of the most fundamental NP-hard optimization problem...
{ "timestamp": "2020-12-29T02:24:03", "yymm": "2012", "arxiv_id": "2012.14079", "language": "en", "url": "https://arxiv.org/abs/2012.14079" }
\section{Introduction} \label{sec:1} Gas transport through long pipes is usually dominated by friction at the pipe walls. On the practically relevant time scales $t=O(1/\varepsilon)$, the governing balance equations for mass and momentum can be phrased in rescaled form as \begin{align} a \partial_{\tau} \rho + \parti...
{ "timestamp": "2020-12-29T02:26:16", "yymm": "2012", "arxiv_id": "2012.14135", "language": "en", "url": "https://arxiv.org/abs/2012.14135" }
\section{Introduction} First-order cosmological phase transitions are of particular interest because these violent phenomena in the early Universe can be the production source of gravitational waves (GWs), which can be probed by current and future GW experiments~\cite{Schwaller2015PRL}. The phase transitions are rele...
{ "timestamp": "2020-12-29T02:23:46", "yymm": "2012", "arxiv_id": "2012.14071", "language": "en", "url": "https://arxiv.org/abs/2012.14071" }
\section{Introduction} \label{sec:intro} In the Galaxy, M dwarfs are inherently faint objects, but dominate the faint magnitudes of the Galaxy by numbers, making up $\sim 70\%$ in our Galaxy \citep{2010AJ....139.2679B}. \cite{1999ApJ...519..802K} discovered spectral classes $L$ and $T$ using the Two Micron All Sky Sur...
{ "timestamp": "2021-02-02T02:05:22", "yymm": "2012", "arxiv_id": "2012.14080", "language": "en", "url": "https://arxiv.org/abs/2012.14080" }
\section{Introduction} \label{sec:intro} The recent detection of gravitational waves (GWs) has consecrated gravitational wave interferometers (GWIs) as a vital experimental tool for astronomy, cosmology, and fundamental physics~\cite{LIGOScientific:2018mvr,Abbott:2020niy}. The GWs detected thus far are a product of c...
{ "timestamp": "2021-04-26T02:03:44", "yymm": "2012", "arxiv_id": "2012.13997", "language": "en", "url": "https://arxiv.org/abs/2012.13997" }
\section{Introduction} Yoshida and Soda have studied \cite{Yoshida:2017fao} how a possible cosmological axion background would affect measurements of the electromagnetic memory effect \cite{winicour,bieriED,stromED,Mao:2017wvx,Hamada:2017atr,Hamada:2018cjj}. Not surprisingly, a new radiation mode became observable. On ...
{ "timestamp": "2020-12-29T02:27:07", "yymm": "2012", "arxiv_id": "2012.14160", "language": "en", "url": "https://arxiv.org/abs/2012.14160" }
\section{Introduction} In the previous decades, many states were found experimentally in the mass range of heavy hadrons that can not be easily explained within a quark model and a standard quarkonium picture \cite{Olsen:2014qna,Tanabashi:2018oca}. To understand the structure of these states is one of the important ai...
{ "timestamp": "2021-08-10T02:07:50", "yymm": "2012", "arxiv_id": "2012.14013", "language": "en", "url": "https://arxiv.org/abs/2012.14013" }
\section{Introduction} Information retrieval traditionally used sparse representations like TF-IDF or BM25 to retrieve relevant documents for a given query. However, these approaches suffer from the lexical gap problem \cite{berger_lexical_gap}. To overcome this issue, dense representations have been proposed \cite{en...
{ "timestamp": "2021-06-10T02:14:18", "yymm": "2012", "arxiv_id": "2012.14210", "language": "en", "url": "https://arxiv.org/abs/2012.14210" }
\section{Introduction} Cellular motility has an essential role in biological processes \cite{Bray_2000}. For instance, wounds cannot heal without the motility of various kinds of cells such as fibroblast~\cite{Velnar_2009}. This is not limited only to the cells of the human body. Unicellular microorganisms like bacter...
{ "timestamp": "2020-12-29T02:26:54", "yymm": "2012", "arxiv_id": "2012.14155", "language": "en", "url": "https://arxiv.org/abs/2012.14155" }
\section{Introduction} The advent of topological band theory has led to the burgeoning field of ``topological phases of matter'' which manifest exotic properties, such as surface conduction of electronic states, and wave propagation insensitive to backscattering and disorder~\cite{PhysRevLett.61.2015, PhysRevLett.98.10...
{ "timestamp": "2022-06-22T02:05:49", "yymm": "2012", "arxiv_id": "2012.14103", "language": "en", "url": "https://arxiv.org/abs/2012.14103" }
\section{Introduction} \IEEEPARstart{M}{edical} imaging is an effective and widely used diagnosis tool in this modern medical industry, which commonly includes ultrasound imaging, magnetic resonance imaging (MRI), X-ray and computed tomography (CT). Among them, ultrasound imaging has the characteristics of low cost, no...
{ "timestamp": "2020-12-29T02:26:34", "yymm": "2012", "arxiv_id": "2012.14142", "language": "en", "url": "https://arxiv.org/abs/2012.14142" }
\section{Introduction} Since Hawking radiation can be emitted out of a black hole \cite{hawking_1974_black_hole_explosions}, it is widely believed that a black hole carries the Bekenstein-Hawking (BH) entropy $A/(4G),$ where $A$ is the area of the horizon and $G$ is the gravitational constant. The origin of the BH entr...
{ "timestamp": "2021-10-29T02:22:25", "yymm": "2012", "arxiv_id": "2012.14050", "language": "en", "url": "https://arxiv.org/abs/2012.14050" }
\section{Introduction} \graphicspath{{figures/}} The question of how we perceive the world around us has been an intriguing topic since the ancient times. For example, we can consider the philosophical debate around the concept of \emph{entelechy}, which started with the early studies of the Aristotelian school to...
{ "timestamp": "2021-02-01T02:07:36", "yymm": "2012", "arxiv_id": "2012.14184", "language": "en", "url": "https://arxiv.org/abs/2012.14184" }
\section{Optimality conditions of the variational principle}\label{app:A} For the sake of brevity, we forgo the explicit written dependencies on $x$, $t$, and $\bs{\alpha}$ in the following derivation. Using index notation, we start by expanding \ref{Eqn:min_princ} \begin{align*} \mathcal{G}(\dot{\bm{U}},\dot{\bm{...
{ "timestamp": "2020-12-29T02:22:21", "yymm": "2012", "arxiv_id": "2012.14028", "language": "en", "url": "https://arxiv.org/abs/2012.14028" }
\section{Introduction} The field of network neuroscience has made substantial advances in characterizing the human brain network (or connectome modeling the pairwise relationship between brain regions of interest (ROIs)) by means of large-scale connectomic datasets collected through various projects such as Human Con...
{ "timestamp": "2020-12-29T02:26:12", "yymm": "2012", "arxiv_id": "2012.14131", "language": "en", "url": "https://arxiv.org/abs/2012.14131" }
\section{Introduction} Space inversion symmetry breaking in crystal structure makes asymmetric spin-orbit coupling (ASOC), which often leads to unique superconducting properties beyond the conventional Bardeen-Cooper-Schrieffer (BCS) framework\cite{1,2}. For example, unconventional features have been experimentally r...
{ "timestamp": "2020-12-29T02:25:41", "yymm": "2012", "arxiv_id": "2012.14107", "language": "en", "url": "https://arxiv.org/abs/2012.14107" }
\section{Introduction} \label{sec:intro} Despite the detection of more than 4000 exoplanets in the past 25 years, very little is known about most exoplanets aside from an orbital period and a radius or minimum mass. This is particularly frustrating for exoplanet populations such as warm and hot Jupiters, which have no...
{ "timestamp": "2020-12-29T02:23:45", "yymm": "2012", "arxiv_id": "2012.14068", "language": "en", "url": "https://arxiv.org/abs/2012.14068" }
\section{Introduction} Solving systems of differential equations is in general a difficult task. Indeed, the results of \cite{DL84} imply that computing formal power series solutions to systems of algebraic partial differential equations with (complex) formal power series coefficients is algorithmically impossible. ...
{ "timestamp": "2021-11-16T02:15:06", "yymm": "2012", "arxiv_id": "2012.14067", "language": "en", "url": "https://arxiv.org/abs/2012.14067" }
\section{Introduction} Nowadays, the potential of convolutional deep learning models for the task of image classification has been proven. Research in this field has followed different directions namely, new architecture and framework proposals \cite{richards2019deep, khan2019novel}, training methods \cite{wu2017effec...
{ "timestamp": "2021-07-30T02:15:01", "yymm": "2012", "arxiv_id": "2012.14173", "language": "en", "url": "https://arxiv.org/abs/2012.14173" }
\section{Introduction} \subsection{The DPRM theorem} We write $\mathbb{N}$ for the semi-ring of non-negative integers. A set $X\subseteq \mathbb{N}^r$ is \emph{listable} (aka. computably or recursively enumerable) if its elements can be listed by a Turing machine. On the other hand, $X\subseteq \mathbb{N}^r$ is \emph{...
{ "timestamp": "2021-11-16T02:05:26", "yymm": "2012", "arxiv_id": "2012.14054", "language": "en", "url": "https://arxiv.org/abs/2012.14054" }
\section{Introduction}\label{sec:intro} A \emph{cut} of a graph is a partition of the vertices of the graph into two disjoint subsets. Graph cuts play an important role in combinatorial optimization and graph theory. The classical \emph{minimum cut problem} is well known to be polynomially solvable~\cite{FordFulkerson:...
{ "timestamp": "2020-12-29T02:27:32", "yymm": "2012", "arxiv_id": "2012.14174", "language": "en", "url": "https://arxiv.org/abs/2012.14174" }
\section{Introduction} Vision is crucial for our everyday activities such as driving, watching television, reading and interacting socially and visual impairment can be a real handicap. Even the slightest visual loss can affect our quality of life considerably and cause depression and in old adults cause accidents, inj...
{ "timestamp": "2020-12-29T02:26:33", "yymm": "2012", "arxiv_id": "2012.14140", "language": "en", "url": "https://arxiv.org/abs/2012.14140" }
\section{Introduction} Let $X$ be a metric space with metric $d$, $R$ a subset of $X\times X$, and $T\colon X \to X$ a mapping. We say that $T$ is a \emph{Meir-Keeler type} mapping on $R$ if for any $\epsilon > 0$ there exists $\delta >0$ such that \[ (x,y)\in R \text{ and } \epsilon \leq d(x,y) < \epsilon + \delta ...
{ "timestamp": "2020-12-29T02:25:59", "yymm": "2012", "arxiv_id": "2012.14121", "language": "en", "url": "https://arxiv.org/abs/2012.14121" }
\section{Introduction.}\label{intro} \section{Introduction} \label{Sec:Intro} Benders decomposition has seen many successful applications to two-stage stochastic optimization, where it typically takes the form of the {\em L-shaped method} \citep{benders1962partitioning,van1969shaped}. It offers the advantage that ...
{ "timestamp": "2020-12-29T02:23:54", "yymm": "2012", "arxiv_id": "2012.14074", "language": "en", "url": "https://arxiv.org/abs/2012.14074" }
\section{Introduction} Sequential decision making under uncertainty lies in the heart of many real world problems, ranging from portfolio management to robotic control. Many models and methods have been proposed to study the dynamic decision-making process, among which Markov decision process (MDP) \cite{puterman_mdp} ...
{ "timestamp": "2020-12-29T02:22:41", "yymm": "2012", "arxiv_id": "2012.14043", "language": "en", "url": "https://arxiv.org/abs/2012.14043" }
\subsubsection{Steady Simulation} \label{sssec:steady} To validate our formulation for these settings, we perform -- in a first step -- a flow simulation through a straight circular duct. The results are collected in Figure~\ref{fig:arteryPoiseuille}. The velocity distribution is visualised with glyphs showing a parab...
{ "timestamp": "2020-12-29T02:28:04", "yymm": "2012", "arxiv_id": "2012.14200", "language": "en", "url": "https://arxiv.org/abs/2012.14200" }
\section{Introduction} \label{section1} Given a sequence of harmonic maps with uniformly bounded energy, Uhlenbeck Compactness Theorem discovered ``bubble phenomenon'' where bubble occurs at points of energy concentration. Later, Parker \cite{P} showed bubble tree extension to describe how a given sequence of harmonic...
{ "timestamp": "2021-01-01T02:08:48", "yymm": "2012", "arxiv_id": "2012.14040", "language": "en", "url": "https://arxiv.org/abs/2012.14040" }
\section{Introduction} \label{Section:intro} Solar activity plays a significant role in influencing the interplanetary medium and space weather around Earth and all the other planets of the solar system \citep{Schwenn2006}. Remote-sensing instruments on-board heliophysics missions can provide a wealth of information on...
{ "timestamp": "2021-02-02T02:36:37", "yymm": "2012", "arxiv_id": "2012.14023", "language": "en", "url": "https://arxiv.org/abs/2012.14023" }
\section{Introduction} Heak and neck cancers are one of the most common cancers~\cite{CancerStatistics2020}. Extracting quantitative image bio-markers from PET and CT images has shown tremendous potential to optimize patient care, such as predicting disease characteristics \cite{lambin2012radiomics} \cite{vallieres2017...
{ "timestamp": "2020-12-29T02:28:19", "yymm": "2012", "arxiv_id": "2012.14207", "language": "en", "url": "https://arxiv.org/abs/2012.14207" }
\section{\label{sec:level1} Introduction} The term quantum walk (QW) was first introduced in the seminal work by Aharonov et al \citep{Aharonov_intro}. Since then, QWs have been studied from computation point of view such as in decision trees \citep{Farhi_path,Farhi_decision}, cellular automata \citep{Meyer_CA}, quantu...
{ "timestamp": "2020-12-29T02:20:58", "yymm": "2012", "arxiv_id": "2012.13994", "language": "en", "url": "https://arxiv.org/abs/2012.13994" }
\section*{Acknowledgements} T.R. Tan acknowledges support from the Sydney Quantum Academy. The authors thank A. Singh and T.F. Wohlers-Reichel for their contribution to assembling and maintenance of the experimental setup. This work was partially supported by the Intelligence Advanced Research Projects Activity Grant N...
{ "timestamp": "2021-05-11T02:33:34", "yymm": "2012", "arxiv_id": "2012.14187", "language": "en", "url": "https://arxiv.org/abs/2012.14187" }
\@startsection{section}{1}{\z@{\@startsection{section}{1}{\zeta@} {3ex plus-1ex minus-.2ex}{1pt plus1pt}{\large\sf\bfseries\boldmath}} \def\@startsection{subsection}{2}{\z@{\@startsection{subsection}{2}{\zeta@} {1.5ex plus-1ex minus-.2ex}{0.01pt plus1pt}{\sf\slshape}} \def\@startsection{subsubsection}{...
{ "timestamp": "2022-01-26T02:05:46", "yymm": "2012", "arxiv_id": "2012.14015", "language": "en", "url": "https://arxiv.org/abs/2012.14015" }
\section{Introduction} High-dimensional quantum bits hold great potential for quantum communication owing to their robustness to a realistic noisy environment \cite{cerf2002security, erhard2020advances, cozzolino2019high}. Implementations based on encoding information in the transverse spatial modes of photons are esp...
{ "timestamp": "2022-04-18T02:15:10", "yymm": "2012", "arxiv_id": "2012.14024", "language": "en", "url": "https://arxiv.org/abs/2012.14024" }
\section{Introduction} Varieties of (pointed) residuated lattices are algebraic counterparts of substructural logics \cite{gjko}. In this paper the amalgamation property is investigated in classes of involutive commutative residuated lattices. Historically, amalgamations were first considered for groups in the form o...
{ "timestamp": "2021-11-16T02:22:25", "yymm": "2012", "arxiv_id": "2012.14181", "language": "en", "url": "https://arxiv.org/abs/2012.14181" }
\section{Fast Degree Reduction with RandomColorTrial}\label{sec:oneshot} This section is devoted to the derivation of the key property of {\RCT} that our algorithms rely on -- fast degree reduction. Recall that in {\RCT}, every node $v$ picks a color $c_v\in \Psi(v)$ independently, uniformly at random, and calls {...
{ "timestamp": "2021-04-13T02:17:40", "yymm": "2012", "arxiv_id": "2012.14169", "language": "en", "url": "https://arxiv.org/abs/2012.14169" }
\section{Introduction} \IEEEPARstart{C}{aching} networks can reduce the routing costs for accessing contents by caching the requested contents as close to the requesting users as possible. Prevailing caching networks include content delivery networks (CDN)~\cite{CDN,CDN2}, information-centric networks (ICN)~\cite{Ye...
{ "timestamp": "2020-12-29T02:26:46", "yymm": "2012", "arxiv_id": "2012.14148", "language": "en", "url": "https://arxiv.org/abs/2012.14148" }