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\section{Introduction} In the standard cosmological scenario, CDM particles decouple while non-relativistic from the primordial thermal bath. Their consequently small speeds allow for a clustering that agrees well with an impressive array of observations on large scales \citep{Frenk2012}. But this same `coldness' l...
{ "timestamp": "2022-09-20T02:20:48", "yymm": "2209", "arxiv_id": "2209.08631", "language": "en", "url": "https://arxiv.org/abs/2209.08631" }
\section{Introduction} Modeling in computer vision has long been dominated by convolutional neural networks (CNNs). Recently, transformer models in the field of natural language processing (NLP) \cite{DBLP:journals/corr/abs-1810-04805,NIPS2017-3f5ee243,10.1145/3437963.3441667} have attracted great interests of compute...
{ "timestamp": "2022-09-20T02:23:50", "yymm": "2209", "arxiv_id": "2209.08726", "language": "en", "url": "https://arxiv.org/abs/2209.08726" }
\section{Introduction}\label{sec:intro} Linear programming (LP) is one of the most useful tools available to theoreticians and practitioners throughout science and engineering. It has been extensively used to solve various problems in a wide range of areas, including operations research, engineering, economics, or ev...
{ "timestamp": "2022-09-26T02:13:56", "yymm": "2209", "arxiv_id": "2209.08722", "language": "en", "url": "https://arxiv.org/abs/2209.08722" }
\section{Introduction} Researchers, including journalists \cite{mask_stockpile_ars_2020,buffalo_shooter_huffpo_2022}, social scientists \cite{arms2006,MEET:MEET14504801096}, and historians \cite{milligan_history_2019} increasingly make use of web archives. Web archives preserve the content of web pages as they were at ...
{ "timestamp": "2022-09-20T02:21:20", "yymm": "2209", "arxiv_id": "2209.08649", "language": "en", "url": "https://arxiv.org/abs/2209.08649" }
\section{Introduction} \label{sec:introduction} \begin{figure}[t!] \centering \includegraphics[width=0.97\linewidth]{fig/bt-sot} \caption{Integration between the SoT approach and BTs in our framework. The BT and the SoT approach run in parallel at different control frequencies. On the basis of the current robot and en...
{ "timestamp": "2022-09-20T02:20:31", "yymm": "2209", "arxiv_id": "2209.08619", "language": "en", "url": "https://arxiv.org/abs/2209.08619" }
\section{Introduction} Over the past decade, deep neural networks have produced groundbreaking results. To name a few, they have demonstrated impressive performance on visual classification tasks \citep{2016-He-deep-residual-learning-for-image-recognition}, parsing and synthesizing natural language \citep{2018-Devlin-...
{ "timestamp": "2022-09-20T02:20:43", "yymm": "2209", "arxiv_id": "2209.08627", "language": "en", "url": "https://arxiv.org/abs/2209.08627" }
\section{Introduction}\label{sec:intro} Quantum speed limit \cite{Mandelstam45,Mandelstam1991,Fleming,Margolus98, Aharonov,Zych} is a well-known fundamental concept related with the question about time-energy uncertainty relations in quantum mechanics. However, at the same time, several diverse applications of quantum...
{ "timestamp": "2022-09-20T02:22:41", "yymm": "2209", "arxiv_id": "2209.08689", "language": "en", "url": "https://arxiv.org/abs/2209.08689" }
\section{Introduction} Deep neural networks (DNNs) have been deployed in many applications including security-critical ones such as biometric authentication and automated driving, but DNNs are vulnerable to adversarial examples (AEs), which are perturbed by noises to mislead DNNs without affecting human perception. In ...
{ "timestamp": "2022-09-20T02:23:44", "yymm": "2209", "arxiv_id": "2209.08724", "language": "en", "url": "https://arxiv.org/abs/2209.08724" }
\section{Introduction} Current best practice in recommender systems evaluation, both in academic and industrial settings, is based on using real datasets to compute \emph{offline} metrics that are proxies to \emph{online} performance. In academic work, these metrics are used to validate the effectiveness of newly propo...
{ "timestamp": "2022-09-20T02:21:15", "yymm": "2209", "arxiv_id": "2209.08642", "language": "en", "url": "https://arxiv.org/abs/2209.08642" }
\section{Using Uncertainty for Next-Best View Selection and Model Refinement} \begin{figure}[t] \centering \includegraphics[width=0.95\linewidth]{fig/explore_avg.pdf} \caption{A NeRF ensemble can select informative next-best training views. Starting from 5 highly similar views, we incrementally add new ...
{ "timestamp": "2022-09-20T02:23:38", "yymm": "2209", "arxiv_id": "2209.08718", "language": "en", "url": "https://arxiv.org/abs/2209.08718" }
\section{Introduction} A highly researched problem by a variety of research communities is the problem of data clustering. However, high-dimensional data clustering still constitutes a significant challenge, plagued by the \emph{curse of dimensionality} \citep{hutzenthaler2020overcoming}. Hierarchical divisive algorit...
{ "timestamp": "2022-09-20T02:22:27", "yymm": "2209", "arxiv_id": "2209.08680", "language": "en", "url": "https://arxiv.org/abs/2209.08680" }
\section{Introduction} The ingress of hydrogen into a metal brings a reduction in material toughness, ductility and fatigue crack growth resistance \cite{Gangloff2003,Gangloff2012,Djukic2019}. This phenomenon, often referred to as \emph{hydrogen embrittlement}, is pervasive across the energy, defence, transport and co...
{ "timestamp": "2022-09-20T02:21:04", "yymm": "2209", "arxiv_id": "2209.08635", "language": "en", "url": "https://arxiv.org/abs/2209.08635" }
\section{Introduction} Deep generative model provides a powerful framework for representing complex data distributions and have seen many successful applications in image and video synthesis \citep{karras2019style,saito2020train,xiao2021tackling}, representation learning \citep{oord2017neural} as well as unsupervised o...
{ "timestamp": "2022-09-20T02:23:56", "yymm": "2209", "arxiv_id": "2209.08739", "language": "en", "url": "https://arxiv.org/abs/2209.08739" }
\section{Introduction} The electromagnetic local density of states (LDOS), a measure of local response---the electric field from a dipolar current source---at a given point in space~\cite{novotny_principles_2012}, plays a central role in many nanophotonic phenomena and applications, including spontaneous~\cite{purcell...
{ "timestamp": "2022-10-04T02:04:48", "yymm": "2209", "arxiv_id": "2209.08668", "language": "en", "url": "https://arxiv.org/abs/2209.08668" }
\section{\label{sec:level1}Introduction} Valley degree of freedom and associated manipulations have become rising topics in recent years \cite{2016Valley,2007Valley,2012Valley}. As local extrema in band structures, multiple valleys are selectively expressed through their contrasting optoelectronic properties. Besides i...
{ "timestamp": "2022-09-20T02:23:51", "yymm": "2209", "arxiv_id": "2209.08730", "language": "en", "url": "https://arxiv.org/abs/2209.08730" }
\section{Introduction} \label{sec:introduction} Resilience engineering is a process performed by many software and site reliability engineers today to ensure that their application is resilient to faults. One specific class of faults that are a concern for the developers of microservice applications are \textit{par...
{ "timestamp": "2022-09-20T02:24:00", "yymm": "2209", "arxiv_id": "2209.08740", "language": "en", "url": "https://arxiv.org/abs/2209.08740" }
\section{Introduction} Let $R=\K[x_1,\dots,x_n]$ and $I$ be an ideal of $R$. Denote the unique graded maximal ideal of $R$ by $M$. Green-Lazarsfeld introduced the condition $N_p$ which means that the resolution of $R/I$ is 2-linear the $p$ first times. Thus $N_1$ means that the ideal is generated in degree 2, $N_2$ ...
{ "timestamp": "2022-09-20T02:21:21", "yymm": "2209", "arxiv_id": "2209.08650", "language": "en", "url": "https://arxiv.org/abs/2209.08650" }
\section{Introduction} Bergman discovered that the Riemann map associated to a bounded simply-connected domain $D $ in the complex plane $ \mathbb C$ can be expressed very simply in terms of his kernel function $K(z,w)$. For some fixed $p \in D$, after a dilation and translation, $$ K^{-1}(z, p) \le...
{ "timestamp": "2022-09-20T02:24:00", "yymm": "2209", "arxiv_id": "2209.08741", "language": "en", "url": "https://arxiv.org/abs/2209.08741" }
\section{Introduction} Interacting with computing devices using natural language is a long-standing pursuit in human-computer interaction \cite{bolt1980put, karat2002conversational, folstad2017chatbots}. Language, as both the input and the output, allows users to efficiently communicate with a computing system and acc...
{ "timestamp": "2022-09-20T02:21:30", "yymm": "2209", "arxiv_id": "2209.08655", "language": "en", "url": "https://arxiv.org/abs/2209.08655" }
\section{Introduction} Conventional neural machine translation (NMT) cannot dynamically incorporate external corpus at inference once finishing training \citep{bahdanau2015neural,vaswani2017attention}, resulting in bad performance when facing unseen domains, even if feeding millions or billions of sentence pairs for t...
{ "timestamp": "2022-09-21T02:12:13", "yymm": "2209", "arxiv_id": "2209.08738", "language": "en", "url": "https://arxiv.org/abs/2209.08738" }
\section{\label{sec:level1}Electron-SPP matrix element} To determine the electron-SPP coupling, we solve Maxwell’s equation for the spatial dependence of the electric potential $\varphi$ due to the SPP, using the following ansatz~\cite{fischetti2001effective}: \begin{equation} \varphi(\boldsymbol{\rho},z,t)=\sum_{\...
{ "timestamp": "2022-09-20T02:22:16", "yymm": "2209", "arxiv_id": "2209.08677", "language": "en", "url": "https://arxiv.org/abs/2209.08677" }
\section{Introduction}\label{sec:intr} The notion of a conformal algebra encodes an axiomatic description of the operator product expansion of chiral fields in conformal field theory. The theory of Lie conformal algebras appeared as a formal language describing the algebraic properties of the operator product ex...
{ "timestamp": "2022-09-20T02:23:36", "yymm": "2209", "arxiv_id": "2209.08715", "language": "en", "url": "https://arxiv.org/abs/2209.08715" }
\section{Introduction} Deep learning has emerged as a disruptive technology capable of solving complex problems in vision~\cite{krizhevsky2012,gaugan,dalle}, language~\cite{brown2020}, and even science~\cite{reichstein2019,alphafold,choudhary2022}. Dramatic advances brought by model size~\cite{kaplan2020,henighan2020} ...
{ "timestamp": "2022-09-20T02:22:22", "yymm": "2209", "arxiv_id": "2209.08678", "language": "en", "url": "https://arxiv.org/abs/2209.08678" }
\section{Extended Related Work}\label{app:related_work} In this section, we give a brief overview of various approaches in CL, especially replay methods as well as spaced repetition techniques for human CL and generalization in RL. \paragraph{Continual Lear...
{ "timestamp": "2022-09-20T02:21:37", "yymm": "2209", "arxiv_id": "2209.08660", "language": "en", "url": "https://arxiv.org/abs/2209.08660" }
\section{Introduction} Online Linear Programming belongs to an essential type of sequential decision making process. The formulation of Online Linear Programming can be understood to optimize the profit of selling a set of products to different customers each of whom appears sequentially with the amount of products in...
{ "timestamp": "2022-10-04T02:19:29", "yymm": "2209", "arxiv_id": "2209.08657", "language": "en", "url": "https://arxiv.org/abs/2209.08657" }
\section*{\refname}} \newcommand{\pbref}[1]{\ref{#1} (\nameref*{#1})} \def\({\left(} \def\){\right)} \newcommand{\textnormal}{\textnormal} \newcommand{\displaystyle}{\displaystyle} \newcommand{\dsfrac}[2]{\displaystyle{\frac{#1}{#2}}} \newcommand{\textstyle{\bigoplus}}{\textstyle{\bigoplus}} \newcommand{\textsty...
{ "timestamp": "2022-09-20T02:20:33", "yymm": "2209", "arxiv_id": "2209.08621", "language": "en", "url": "https://arxiv.org/abs/2209.08621" }
\section{Introduction and statement of main results} Consider the Kirchhoff type problem \begin{equation}\label{Eq.(5.1)} \begin{gathered} -(a+b\int_\Omega |\nabla u|^2dx)\Delta u=f(x,u), \quad\text{in } \Omega, \\ u=0, \quad\text{on } \partial \Omega, \end{gathered} \end{equation} where $\Omega $ is a smooth...
{ "timestamp": "2022-09-20T02:21:15", "yymm": "2209", "arxiv_id": "2209.08644", "language": "en", "url": "https://arxiv.org/abs/2209.08644" }
\section{Introduction} \label{Introduction} Gamma-Ray Bursts (GRBs) are incredibly powerful phenomena: they are the brightest objects after the Big Bang, as well as one of the farthest astrophysical objects ever detected \citep{Paczynski,Piran,Kumar}. These features allow us to use them as cosmological tools, similar ...
{ "timestamp": "2022-09-20T02:22:10", "yymm": "2209", "arxiv_id": "2209.08675", "language": "en", "url": "https://arxiv.org/abs/2209.08675" }
\section{Introduction} Blockchain is centralized. \cite{moxie} The most popular wallet% \footnote{MetaMask has $21{,}000{,}000$ monthly active users as of July 2022~\cite{metamask-mau-22} and is the most popular non-custodial wallet~\cite{metamask-mau-21}.} today, \emph{MetaMask}, trusts a single infrastructure provi...
{ "timestamp": "2022-09-20T02:22:08", "yymm": "2209", "arxiv_id": "2209.08673", "language": "en", "url": "https://arxiv.org/abs/2209.08673" }
\section{Introduction} Foldable quadrotors (FQrs) have created a paradigm shift in the design of multirotor aerial vehicles for widening the scope of applications such as flying through small openings and cluttered spaces \cite{PZ21}. While there is ample research demonstrating the mechanical feasibility o...
{ "timestamp": "2022-09-20T02:22:16", "yymm": "2209", "arxiv_id": "2209.08676", "language": "en", "url": "https://arxiv.org/abs/2209.08676" }
\section{Introduction} Correlated phenomena play a central role in condensed matter physics, and have been studied in many contexts including phase transitions \cite{Bernien2017,Zhang2017}, many-body interactions and entanglement \cite{Cheneau2012,Shankar2017,Altman2004,Deng2005,Baez2020}, and magnetic ordering \cite...
{ "timestamp": "2022-09-20T02:23:12", "yymm": "2209", "arxiv_id": "2209.08703", "language": "en", "url": "https://arxiv.org/abs/2209.08703" }
\section{Introduction} In this paper we describe our experiments and results on the Multidocument Summarisation for Literature Review (MSLR) shared task.\footnote{\url{https://github.com/allenai/mslr-shared-task}} In particular, we attempt to improve on previous multi-document summarisation models in the biomedical ...
{ "timestamp": "2022-09-20T02:23:00", "yymm": "2209", "arxiv_id": "2209.08698", "language": "en", "url": "https://arxiv.org/abs/2209.08698" }
\section{Introduction} \label{sec:introduction} The dissonance between the \citet{Airy:1845} linear water wave theory and \citet{Russell:1844} observations of a solitary wave, resolved by \citet{Boussinesq:1871,Boussinesq:1872,Boussinesq:1877} and \citet{Rayleigh:1876}, led to the idea of balancing dispersion and nonl...
{ "timestamp": "2022-09-20T02:20:45", "yymm": "2209", "arxiv_id": "2209.08628", "language": "en", "url": "https://arxiv.org/abs/2209.08628" }
\section{Introduction} In \cite{BCHM10,HM10}, Birkar, Cascini, Hacon, and M\textsuperscript{c}Kernan established the relative minimal model program with scaling for projective morphisms of complex varieties. Recently, Villalobos-Paz established the analogue of this result for algebraic spaces of finite type over a fiel...
{ "timestamp": "2022-09-20T02:23:52", "yymm": "2209", "arxiv_id": "2209.08732", "language": "en", "url": "https://arxiv.org/abs/2209.08732" }
\section{Robot Design} The robot used for collecting photographic data of the lettuce plants consists of 2 subsystems: a robot arm mounted on the end effector of a cable-driven parallel robot (CDPR). The purpose of the robot arm is to collect large numbers of photos of a plant from various, repeatable angles for use...
{ "timestamp": "2022-09-20T02:22:42", "yymm": "2209", "arxiv_id": "2209.08690", "language": "en", "url": "https://arxiv.org/abs/2209.08690" }
\section{Introduction} We consider the two-dimensional fractional Navier-Stokes equations \begin{equation}\label{eq:NS} \tag{NS$_\beta$} \left\lbrace \begin{aligned} \partial_t u + (u \cdot \nabla) u + \nabla p+\Lambda^\beta u &= f \\ \div u &= 0 \end{aligned} \right. \quad \text{ in } \mathbb{R}^2 \times \mathbb{R}...
{ "timestamp": "2022-09-20T02:23:36", "yymm": "2209", "arxiv_id": "2209.08713", "language": "en", "url": "https://arxiv.org/abs/2209.08713" }
\section{INTRODUCTION} \vspace{-1mm} The Koopman operator describes the evolution of a nonlinear dynamical system in terms of a possibly infinite-dimensional but linear operator in a lifted space of observables. Starting from applications in dimension reduction of high-dimensional nonlinear systems such as turbulent fl...
{ "timestamp": "2022-09-20T02:21:08", "yymm": "2209", "arxiv_id": "2209.08637", "language": "en", "url": "https://arxiv.org/abs/2209.08637" }
\section{Introduction} Vehicle similarity learning, also called vehicle re-identification (ReID), is a crucial technique for intelligent surveillance systems in a smart city. It is to track the vehicles with the same identity within a set of images captured by multiple cameras and various viewpoints. With the developme...
{ "timestamp": "2022-09-20T02:20:48", "yymm": "2209", "arxiv_id": "2209.08630", "language": "en", "url": "https://arxiv.org/abs/2209.08630" }
\section{Introduction} Task-oriented dialog (TOD) systems \cite{young2013,budzianowski2018multiwoz} have become prominent and drawn much attention from both academia and industries. Their mission is to help users accomplish specific tasks such as booking restaurants and reserving hotels through natural language co...
{ "timestamp": "2022-09-20T02:23:15", "yymm": "2209", "arxiv_id": "2209.08708", "language": "en", "url": "https://arxiv.org/abs/2209.08708" }
\section{Method} \vspace{-5pt} \label{sec:method} We consider a \emph{value function approach} \citep[see e.g.,][]{outrata1990numerical,ye1995optimality, liu2021value}, which yields natural first-order algorithms for non-convex $g$ and requires no computation of Hessian matrices. It is based on the observation that \e...
{ "timestamp": "2022-09-20T02:23:16", "yymm": "2209", "arxiv_id": "2209.08709", "language": "en", "url": "https://arxiv.org/abs/2209.08709" }
\section{Introduction} Testing the theory of general relativity (GR) by observing the light deflection by the Sun \citep{Dyson+1920} made GR famous and initiated the ``modern era'' of astronomy \citep{Johnson1983}. GR has been tested over 100 years, especially in terms of gravitational light deflection, relativisti...
{ "timestamp": "2022-09-20T02:23:04", "yymm": "2209", "arxiv_id": "2209.08702", "language": "en", "url": "https://arxiv.org/abs/2209.08702" }
\section{Introduction} \label{sec:Introduction} \emph{Bent functions}, firstly proposed by Rothaus in 1976 \cite{Rothaus1976}, have been extensively investigated during the past few decades due to their important applications in cryptography \cite{Carlet2021}, the design of sequence \cite{Olsen1982, Abdukhalikov2...
{ "timestamp": "2022-09-20T02:23:27", "yymm": "2209", "arxiv_id": "2209.08712", "language": "en", "url": "https://arxiv.org/abs/2209.08712" }
\section{Introduction} \label{sec-intro} Due to their increased usage within myriad software applications, artificial intelligence algorithms now influence many aspects of people's lives, particularly when they are embedded into decision-support tools used by educators, government agencies, and various industry sector...
{ "timestamp": "2022-09-20T02:21:19", "yymm": "2209", "arxiv_id": "2209.08648", "language": "en", "url": "https://arxiv.org/abs/2209.08648" }
\section*{Introduction} An additive invariant on varieties over a base field $k$ with values in an abelian group $A$ is a function $\mu:\{\mathrm{Varieties}/k\} \rto A$ such that for any closed immersion $Y \rcofib X$, $[X] = [Y] + [X \smallsetminus Y]$. Such an invariant must factor uniquely through a homomorphism f...
{ "timestamp": "2022-09-20T02:21:10", "yymm": "2209", "arxiv_id": "2209.08640", "language": "en", "url": "https://arxiv.org/abs/2209.08640" }
\section{\label{SI_Setup} SUPPLEMENTARY EXPERIMENTAL METHODS} \subsection{Experimental Setup} Optical measurements were performed in a home-built confocal cryogenic confocal microscope with a helium flow cryostat (Janis ST-500 probe station). The confocal microscope contains two independent branches for excitation and...
{ "timestamp": "2022-09-20T02:23:27", "yymm": "2209", "arxiv_id": "2209.08710", "language": "en", "url": "https://arxiv.org/abs/2209.08710" }
\section{On the deterministic output of the decoder} \label{sec:appendix} In \cref{sec:2qrldc}, we assumed the relaxed decoder $\ensuremath{\mathsf{Dec}}\xspace(i,\cdot)$ for a 2-query weak RLDC has deterministic output conditioned on the queries $j, k$. Here we explain the reason behind this assumption. Given an i...
{ "timestamp": "2022-09-20T02:22:41", "yymm": "2209", "arxiv_id": "2209.08688", "language": "en", "url": "https://arxiv.org/abs/2209.08688" }
\section{introduction and main result} In~\cite{BrezisLieb} Brezis and Lieb posed the question whether it is possible to bound the `Sobolev deficit' $$ \Vert \nabla f \Vert^2_{\mathrm L^2({\mathord{\mathbb R}}^d)} - S_d\,\Vert f \Vert^2_{\mathrm L^{2^*}({\mathord{\mathbb R}}^d)} $$ from below in terms of some natural ...
{ "timestamp": "2022-09-20T02:21:27", "yymm": "2209", "arxiv_id": "2209.08651", "language": "en", "url": "https://arxiv.org/abs/2209.08651" }
\section{Introduction} Uniform hyperbolicity was originally intended to encompass a residual, or at least a dense subset of all smooth dynamical systems \cite{Anosov1967, Smale1967}, although it was soon realized that this is not true \cite{AS1970,Newhouse1970}. Uniformly hyperbolic systems are structurally stabl...
{ "timestamp": "2022-09-21T02:13:26", "yymm": "2209", "arxiv_id": "2209.08714", "language": "en", "url": "https://arxiv.org/abs/2209.08714" }
\section{Introduction} \label{sec:intro} Object Re-IDentification (ReID) \cite{he2021transreid,bedagkar2014survey}, the task of matching a particular object across different camera views, has been widely studied due to its applications in visual surveillance, especially in the field of person and vehicle tracking. Most...
{ "timestamp": "2022-09-20T02:22:36", "yymm": "2209", "arxiv_id": "2209.08686", "language": "en", "url": "https://arxiv.org/abs/2209.08686" }
\section{Introduction}\label{sec:introduction} Quantum computing has recently received the spotlight because of its potential to solve complex problems faster than classical algorithms. In contrast to classical computation, which uses a linear scale in bits, quantum computing uses an exponential scale in qubits. It's b...
{ "timestamp": "2022-09-20T02:23:51", "yymm": "2209", "arxiv_id": "2209.08727", "language": "en", "url": "https://arxiv.org/abs/2209.08727" }
\section{Introduction} \label{sec:introduction} Over the last two decades, studies focused on the formation and evolution of our Galaxy have been significantly advanced by the first generation of wide-field, digital imaging surveys and the Gaia astrometric mission. The extensive photometric databases that resulted h...
{ "timestamp": "2022-09-20T02:21:05", "yymm": "2209", "arxiv_id": "2209.08636", "language": "en", "url": "https://arxiv.org/abs/2209.08636" }
\section{Introduction} \label{introduction} Spiking neural networks (SNNs) closely resemble biological neural networks~\cite{ghosh2009spiking}. Each neuron has an internal state representing its current activation, and information transfer between neurons is sparsely transmitted via spikes that occur when a neuron's i...
{ "timestamp": "2022-09-20T02:23:43", "yymm": "2209", "arxiv_id": "2209.08723", "language": "en", "url": "https://arxiv.org/abs/2209.08723" }
\section{Conclusions} \label{sec:Conclusion} In conclusion, we introduced an effective adaptive-frequency MPC and optimization framework for bipedal locomotion over terrains with discontinuities such as stepping stones with varied gait periods and step lengths. In addition, we also introduced the adaptive-frequency t...
{ "timestamp": "2022-09-20T02:21:53", "yymm": "2209", "arxiv_id": "2209.08664", "language": "en", "url": "https://arxiv.org/abs/2209.08664" }
\section{Introduction} Isometric actions of Lie groups on Riemannian manifolds have been widely studied in the literature, as they constitute a powerful tool applied to deal with several interesting problems in both mathematics and physics, yielding important geometric and topological consequences. They appear in all b...
{ "timestamp": "2022-09-20T02:21:15", "yymm": "2209", "arxiv_id": "2209.08643", "language": "en", "url": "https://arxiv.org/abs/2209.08643" }
\section{Introduction} \textbf{Neural Ordinary Differential Equations.} In machine learning, we try to iteratively find a function that best describes the data. There are two basic approaches to finding this function. The first approach is to directly approximate the function by an analytical or numerical method. An or...
{ "timestamp": "2022-09-20T02:21:59", "yymm": "2209", "arxiv_id": "2209.08667", "language": "en", "url": "https://arxiv.org/abs/2209.08667" }
\section{Introduction} \label{sec:intro} The theory of graph quasirandomness implies that quasirandom graphons are the only graphons $W$ with the self-similarity property that densities of finite graphs are invariant across subgraphons of $W$ (see~\cite{CGW89} for graph quasirandomness and~\cite{Lov12} for gra...
{ "timestamp": "2022-09-20T02:21:09", "yymm": "2209", "arxiv_id": "2209.08638", "language": "en", "url": "https://arxiv.org/abs/2209.08638" }
\section{Introduction} Although light-matter interactions were central to the development of quantum field theory, it is only recently that the interactions between microwave photons and magnetic materials have been explored in detail. Indeed, it was in 2009 that Imamo$\breve{\text{g}}$lu pointed out that strong coupl...
{ "timestamp": "2022-09-20T02:22:08", "yymm": "2209", "arxiv_id": "2209.08674", "language": "en", "url": "https://arxiv.org/abs/2209.08674" }
\section{Introduction} This paper focuses on the representation of a random variable as an adapted Lebesgue - as opposed to stochastic - integral. We start the analysis with statements of our main results and then place them in the extant literature while offering motivation for their study. \medskip Let $(\Omega, ...
{ "timestamp": "2022-09-20T02:20:45", "yymm": "2209", "arxiv_id": "2209.08629", "language": "en", "url": "https://arxiv.org/abs/2209.08629" }
\section{Introduction} Social media has recently been implicated in a host of societal dysfunctions, such as extremism, polarization, anti-science rhetoric and dissemination of hate. By allowing individuals with particular interests to connect irrespective of physical distances, the web allowed for the creation of c...
{ "timestamp": "2022-10-04T02:18:12", "yymm": "2209", "arxiv_id": "2209.08697", "language": "en", "url": "https://arxiv.org/abs/2209.08697" }
\section{Introduction} The pro-$\var{V}$ topology on a group is defined by Hall in \cite{Hall49, Hall50}, where $\var{V}$ is a \emph{variety}, namely a class of finite groups closed with respect to subgroups, homomorphic images and direct products. Such a class is usually called a \emph{pseudovariety}, see \cite{MSW0...
{ "timestamp": "2022-09-20T02:23:41", "yymm": "2209", "arxiv_id": "2209.08720", "language": "en", "url": "https://arxiv.org/abs/2209.08720" }
\section{Introduction} \vspace{-5mm} Driving has seen its numerous phases of evolution, from being steam-propelled to becoming almost fully autonomous. Throughout these developments, the existence of one phenomenon has remained constant in the daily environment --- intense sunlight which can obstruct the view of a visi...
{ "timestamp": "2022-09-20T02:23:37", "yymm": "2209", "arxiv_id": "2209.08716", "language": "en", "url": "https://arxiv.org/abs/2209.08716" }
\section*{Acknowledgements} This work is partially supported by National Natural Science Foundation of China (NSFC) under Grant No. 61972098. Ting Su is partially supported by NSFC Project No. 62072178. \balance \bibliographystyle{ACM-Reference-Format} \section{Approach} \label{sec:approach} ...
{ "timestamp": "2022-09-20T02:23:40", "yymm": "2209", "arxiv_id": "2209.08719", "language": "en", "url": "https://arxiv.org/abs/2209.08719" }
\section{Introduction} Intelligent devices, such as mobile phones, wearable devices, and autonomous cars, generate massive amounts of data every day. These data have a wide range of applications, for instance, the next word prediction \citep{konevcny2016federated}, scheduling the traffic to avoid the congestion \citep{...
{ "timestamp": "2022-09-20T02:23:56", "yymm": "2209", "arxiv_id": "2209.08737", "language": "en", "url": "https://arxiv.org/abs/2209.08737" }
\section{Notation} \label{notation} Let $k$ be a field (any characteristic is allowed). A symmetric bilinear form over $k$ means a finite-dimensional vector space with a nondegenerate symmetric bilinear form. For $k$ of characteristic not 2, these can be identified with quadratic forms. We write $\langle a_1,\ldots,a_...
{ "timestamp": "2022-09-20T02:21:04", "yymm": "2209", "arxiv_id": "2209.08634", "language": "en", "url": "https://arxiv.org/abs/2209.08634" }
\section{Conclusion} This paper presents a new generative approach for learning 3D shape distribution and generating diverse, high-quality, and \new{possibly novel} 3D shapes. Unlike prior works, we operate on the frequency domain. By decomposing the implicit function in the form of TSDF using biorthogonal wavelet\n...
{ "timestamp": "2022-09-20T02:23:49", "yymm": "2209", "arxiv_id": "2209.08725", "language": "en", "url": "https://arxiv.org/abs/2209.08725" }
\section{Examples of Argument Pairs} We list a couple of improbable argument pairs from the ``checklist''. \begin{table}[h] \resizebox{\textwidth}{!}{ \begin{tabular}{ll|ll} \toprule \multicolumn{2}{c|}{Argument 1} & \multicolumn{2}{c}{Argument 2} \\ \midrule Justice.Sent...
{ "timestamp": "2022-09-20T02:22:27", "yymm": "2209", "arxiv_id": "2209.08679", "language": "en", "url": "https://arxiv.org/abs/2209.08679" }
\section{Introduction} In recent control application problems, opportunities for demands for sophisticated machine behavior and machine-to-human contact have increased. Because the problems require machine behavior to stay within a safe range for the machine itself and humans, the center of the control design ...
{ "timestamp": "2022-09-20T02:23:51", "yymm": "2209", "arxiv_id": "2209.08728", "language": "en", "url": "https://arxiv.org/abs/2209.08728" }
\section{Introduction} \label{sec:introduction} A well-known challenge of modern high-capacity recognition models, such as deep neural networks (DNNs), is their need for large quantities of training data. This is a major problem for tasks involving overhead (e.g., satellite) imagery due to the costs to purchase and l...
{ "timestamp": "2022-09-20T02:22:33", "yymm": "2209", "arxiv_id": "2209.08685", "language": "en", "url": "https://arxiv.org/abs/2209.08685" }
\section{Introduction} Energy system operators worldwide introduce carbon reduction measures to control the CO$_2$ content of energy supply~\cite{liu2021country}. Such measures include soft monetary penalties (e.g., carbon tax) or hard emission constraints (e.g., carbon cap or renewable portfolio standard) within oper...
{ "timestamp": "2022-09-20T02:21:15", "yymm": "2209", "arxiv_id": "2209.08645", "language": "en", "url": "https://arxiv.org/abs/2209.08645" }
\section{Introduction} The result presented in this paper contributes to the study of principles of generic absoluteness (see \cite{bagaria_axioms_generic_absoluteness} for a survey of this area). These principles can be seen as generalizations of the bounded forcing axioms, like $MA$, $BPFA$, $BSPFA$ and $BMM$ (see \...
{ "timestamp": "2022-09-20T02:22:51", "yymm": "2209", "arxiv_id": "2209.08693", "language": "en", "url": "https://arxiv.org/abs/2209.08693" }
\section{Introduction} \label{sec:intro} A nonnegative real function $f$ is said to be \emph{bell-shaped} if it is smooth, it converges to zero at $\pm\infty$, and for every $n = 0, 1, 2, \ldots$ the $n$th derivative $f^{(n)}$ changes sign exactly $n$ times. According to~\cite{karlin}, this notion of bell-shaped funct...
{ "timestamp": "2022-09-20T02:21:11", "yymm": "2209", "arxiv_id": "2209.08641", "language": "en", "url": "https://arxiv.org/abs/2209.08641" }
\chapter{Dark Energy and Cosmic Acceleration: Complementarity of Probes and New Facilities} \chapter{Report of the Topical Group on Dark Energy and Cosmic Acceleration: Complementarity of Probes and New Facilities for Snowmass 2021} \chaptermark{\footnotesize Dark Energy and Cosmic Acceleration: Complementarity of Prob...
{ "timestamp": "2022-09-20T02:21:29", "yymm": "2209", "arxiv_id": "2209.08654", "language": "en", "url": "https://arxiv.org/abs/2209.08654" }
\section{Introduction} Off-policy evaluation~(OPE) refers to the task of estimating the expected utility of a decision-making policy without having to deploy the policy~\cite{levine2020offline}. Such an ability is critical for vetting policies in high-stakes decision problems such as in healthcare \citep{gottesman2018e...
{ "timestamp": "2022-09-20T02:22:27", "yymm": "2209", "arxiv_id": "2209.08682", "language": "en", "url": "https://arxiv.org/abs/2209.08682" }
\section{Analysis of Maximum Likelihood Estimation} In this section, we provide theoretical results on the estimation of $\Theta^*$ and $\Delta^*$. We denote by \$ L_1(\Theta) = -\EE\left[ \frac{1}{T} \sum_{t = 0}^{T-1} \log \Theta(S_t, Z_t) \right] \$ the population counterpart of $\hat L_1$. We define \#\label{...
{ "timestamp": "2022-09-20T02:21:54", "yymm": "2209", "arxiv_id": "2209.08666", "language": "en", "url": "https://arxiv.org/abs/2209.08666" }
\section*{\refname}} \newcommand{\pbref}[1]{\ref{#1} (\nameref*{#1})} \def\({\left(} \def\){\right)} \newcommand{\textnormal}{\textnormal} \newcommand{\displaystyle}{\displaystyle} \newcommand{\dsfrac}[2]{\displaystyle{\frac{#1}{#2}}} \newcommand{\textstyle{\bigoplus}}{\textstyle{\bigoplus}} \newcommand{\textsty...
{ "timestamp": "2022-09-20T02:20:37", "yymm": "2209", "arxiv_id": "2209.08623", "language": "en", "url": "https://arxiv.org/abs/2209.08623" }
\section*{\uppercase{Acknowledgements}} This research is supported by Next Vision\footnote{Next Vision: https://www.nextvisionlab.it/} s.r.l., by MISE - PON I\&C 2014-2020 - Progetto ENIGMA - Prog n. F/190050/02/X44 – CUP: B61B19000520008, and MIUR AIM - Attrazione e Mobilita Internazionale Linea 1 - AIM1893589 - CUP:...
{ "timestamp": "2022-09-20T02:22:49", "yymm": "2209", "arxiv_id": "2209.08691", "language": "en", "url": "https://arxiv.org/abs/2209.08691" }
\section{Conclusion} In this article, we extend our previous line of research on suggesting MeSH terms for Boolean queries for systematic review literature search. This task adds to a recent stream of research that has focused on computational methods for the assisted creation~\cite{scells2020automatic,scells2020objec...
{ "timestamp": "2022-09-20T02:22:38", "yymm": "2209", "arxiv_id": "2209.08687", "language": "en", "url": "https://arxiv.org/abs/2209.08687" }
\section*{Acknowledgement} We would like to thank the anonymous reviewers for their suggestions and comments. This material is in part based upon work supported by Berkeley DeepDrive and Berkeley Artificial Intelligence Research. \section{Experimental Setup Details} We describe additional details of our experimental s...
{ "timestamp": "2022-09-20T02:23:41", "yymm": "2209", "arxiv_id": "2209.08721", "language": "en", "url": "https://arxiv.org/abs/2209.08721" }
\section{Acknowledgment} \label{sec:Acknowledgement} The authors would like to thank Han Gong, Junchao Ma, and Manas Shah for contributing to this work. \section{Conclusions} \label{sec:Conclusion} In conclusion, we introduced a Multi-contact MPC framework to tackle the problem of contact mode transitions in human...
{ "timestamp": "2022-09-20T02:21:48", "yymm": "2209", "arxiv_id": "2209.08662", "language": "en", "url": "https://arxiv.org/abs/2209.08662" }
\section{Introduction} \label{sec:intro} \noindent Coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus~2 (SARS-CoV-2), continues to spread worldwide since 2019~\cite{SA2022}---in spite of the implementation of different control measures such as social distancing, wearing of fac...
{ "timestamp": "2022-09-23T02:02:13", "yymm": "2209", "arxiv_id": "2209.08694", "language": "en", "url": "https://arxiv.org/abs/2209.08694" }
\section{Introduction}\label{sec:introduction} Deep Neural Networks (DNNs) are incorporated in real-world applications used by a broad spectrum of industry sectors including healthcare \citep{Shorten2021DeepLA,Fink2020PotentialCA}, finance \citep{Huang2020DeepLI, Culkin2017MachineLI}, self-driving vehicles \citep{Swinn...
{ "timestamp": "2022-09-20T02:20:40", "yymm": "2209", "arxiv_id": "2209.08625", "language": "en", "url": "https://arxiv.org/abs/2209.08625" }
\section{Conclusion} {DPM}\xspace is a promising new technology for building KVSs. Prior {DPM}\xspace KVSs have had to sacrifice at least one of three desirable characteristics: high common-case performance, scalability, and lightweight reconfiguration. We present the {\textsc{Dinomo}}\xspace KVS, which uses a no...
{ "timestamp": "2022-09-20T02:24:03", "yymm": "2209", "arxiv_id": "2209.08743", "language": "en", "url": "https://arxiv.org/abs/2209.08743" }
\section{Overview: conformal field theories} \label{section:cft} Let us introduce in this section the main parts of 2d CFTs. We will give an axiomatic based introduction and follow closely the book of Sylvain Ribault \cite{ribaultplane} and the introductory notes of Bert Schellekens \cite{schellekens}. \\ The underly...
{ "timestamp": "2022-09-20T02:21:27", "yymm": "2209", "arxiv_id": "2209.08653", "language": "en", "url": "https://arxiv.org/abs/2209.08653" }
\section{INTRODUCTION} Minimally Invasive Surgery (MIS, aka laparoscopic surgery) has become the gold standard for several procedures (i.e., cholecystectomy \& appendectomy), as it provides better clinical outcomes including reducing blood loss, minimising trauma to the body, less post-operative pain and faster recover...
{ "timestamp": "2022-09-20T02:21:19", "yymm": "2209", "arxiv_id": "2209.08647", "language": "en", "url": "https://arxiv.org/abs/2209.08647" }
\section{Introduction} More than half a century ago, Cook and Levin inaugurated the field of NP-completness. The fact that the Constraint Satisfaction Problem (CSP) is NP-complete has been the cornerstone of our understanding and approach to important optimization problems arising in countless applications. The NP ...
{ "timestamp": "2022-09-20T02:23:52", "yymm": "2209", "arxiv_id": "2209.08731", "language": "en", "url": "https://arxiv.org/abs/2209.08731" }
\section{Proof of Theorem~\ref{prop:compare_seg_hol_two_attrs}}\label{app:proof} In this section, we present the proof of~\Cref{prop:compare_seg_hol_two_attrs}. For any event $E$, we let $\setcomplement{E}$ denote the complement of $E$. We first derive equality~\eqref{eq:proof_both_attrs_err_reduce_disadvantage} be...
{ "timestamp": "2022-09-20T02:21:54", "yymm": "2209", "arxiv_id": "2209.08665", "language": "en", "url": "https://arxiv.org/abs/2209.08665" }
\section{Introduction} Topic segmentation is a fundamental NLP task with the goal to separate textual documents into coherent segments (consisting of one or more sentences), following the document's underlying topical structure. The structural knowledge obtained from topic segmentation has been shown to play a vital ...
{ "timestamp": "2022-09-20T02:20:42", "yymm": "2209", "arxiv_id": "2209.08626", "language": "en", "url": "https://arxiv.org/abs/2209.08626" }
\section{Introduction} Since the early 1990s, we know that dissipative structures in hydrodynamic turbulence are vortex tubes \citep{SJO90,VM91}. Their typical size is of the order of the Kolmogorov length. In magnetohydrodynamics (MHD), the dissipative structures are magnetic flux tubes \citep{Nor+92,Bra+96, Mof+94,...
{ "timestamp": "2022-09-20T02:23:37", "yymm": "2209", "arxiv_id": "2209.08717", "language": "en", "url": "https://arxiv.org/abs/2209.08717" }
\section{Introduction} Historically, Leonhard Euler introduced the Euler characteristic for convex polyhedra in 1752, based on a paper about the notion of a graph in 1736. His consideration for a graph from the geometry of position led to define the Euler characteristic for an arbitrary finite cell-complex. By Poinca...
{ "timestamp": "2022-09-20T02:23:03", "yymm": "2209", "arxiv_id": "2209.08700", "language": "en", "url": "https://arxiv.org/abs/2209.08700" }
\section{Introduction} While recent state-of-the-art hate-speech classifiers~\citep{AYO2021114762, dsa-etal-2020-towards,mozafari2019bert} yield impressive performance on in-domain held-out instances, they suffer when evaluated on out-of-domain settings \citep{yin2021generalisable,10.1145/3331184.3331262,swamy-etal-2...
{ "timestamp": "2022-09-20T02:22:27", "yymm": "2209", "arxiv_id": "2209.08681", "language": "en", "url": "https://arxiv.org/abs/2209.08681" }
\section{Introduction} Several new theoretical developments have taken place in relativistic dissipative hydrodynamics (see~\cite{hydrobook} for review) which is immensely successful in describing the data from nuclear collisions at relativistic energies ~\cite{Rischke:1998fq,Shuryak:2003xe,Stoecker:1986ci}. The incl...
{ "timestamp": "2022-09-20T02:21:27", "yymm": "2209", "arxiv_id": "2209.08652", "language": "en", "url": "https://arxiv.org/abs/2209.08652" }
\section{Introduction} Finding visual correspondence between images is a central problem in computer vision, with numerous applications including simultaneous localization and mapping (SLAM)~\cite{bailey2006simultaneous}, augmented reality (AR)~\cite{peebles2021gan}, object tracking, structure from motion (SfM)~\cite{...
{ "timestamp": "2022-09-21T02:10:08", "yymm": "2209", "arxiv_id": "2209.08742", "language": "en", "url": "https://arxiv.org/abs/2209.08742" }
\section{Introduction} According to \citet{raghavan2010survey}, the fraction of main-sequence, solar-type stars with stellar or brown dwarf companions is $46\pm2\%$. The orbital periods are generally long (distribution peaks at $\log P$ [d] = 5.03). Since stellar multiplicity plays a major role in the formation ...
{ "timestamp": "2022-09-27T02:30:00", "yymm": "2209", "arxiv_id": "2209.08624", "language": "en", "url": "https://arxiv.org/abs/2209.08624" }
\section{Introduction} The field of topological photonics explores topology-related phenomena within the theoretical framework of Maxwell's equations for electromagnetic waves and is largely motivated by the earlier developments in condensed matter physics. However, due to the fundamental difference between photons and...
{ "timestamp": "2022-09-20T02:22:03", "yymm": "2209", "arxiv_id": "2209.08669", "language": "en", "url": "https://arxiv.org/abs/2209.08669" }
\section{Introduction} Self-supervised learning~(SSL) for computer vision applications has empowered deep neural networks~(DNNs) to learn meaningful representations of images from unlabeled data \citep{DBLP:journals/corr/abs-2104-14294, chen2020big, DBLP:journals/corr/abs-2002-05709, DBLP:journals/corr/abs-2006-07733,...
{ "timestamp": "2022-09-20T02:20:37", "yymm": "2209", "arxiv_id": "2209.08622", "language": "en", "url": "https://arxiv.org/abs/2209.08622" }
\section{Acknowledgement}
{ "timestamp": "2022-09-20T02:23:13", "yymm": "2209", "arxiv_id": "2209.08707", "language": "en", "url": "https://arxiv.org/abs/2209.08707" }
\section*{\textbf{Introduction}} An important branch of relative homological algebra was developed by M. Auslander and R. O. Buchweitz in \cite{ABtheory}. This theory, called \emph{Auslander-Buchweitz approximation theory (AB-theory, for short)}, consists of methods for obtaining right and left approximations from (co...
{ "timestamp": "2022-09-20T02:21:32", "yymm": "2209", "arxiv_id": "2209.08658", "language": "en", "url": "https://arxiv.org/abs/2209.08658" }
\section{Introduction}\label{sec1} We consider the Euler equations of one-dimensional compressible fluid flow in the following form: \begin{equation}\label{key} \left\{\begin{array}{ll} \rho_{t}+(\rho u)_{x}=0,\\ u_{t}+\left(\frac{u^{2}}{2}+\int_{}^{\rho}{\frac{P'(s)}{s}ds} \right) _{x}=0, \end{array}\right . \tag{1.1...
{ "timestamp": "2022-09-20T02:23:12", "yymm": "2209", "arxiv_id": "2209.08705", "language": "en", "url": "https://arxiv.org/abs/2209.08705" }
\section{Introduction} \label{sec:intro} This paper considers a class of control policies, called \emph{threshold policies}, that naturally arise in many practical problems. For example, a smart home server may only turn on the air conditioner when the room temperature exceeds a certain threshold, and a central bank ...
{ "timestamp": "2022-09-30T02:02:25", "yymm": "2209", "arxiv_id": "2209.08646", "language": "en", "url": "https://arxiv.org/abs/2209.08646" }
\section{Introduction} \label{Intro} Several experimental and theoretical studies have indicated that {\em planar} monolayer bismuthene on silicon carbide should be a high temperature two-dimensional topological insulator (2DTI).\cite{Hsu2015,Reis2017,Dominguez2018,GLi2018,GK2018,Canonico2019,Azari2019,Hao2019,Stuhler...
{ "timestamp": "2022-09-20T02:20:49", "yymm": "2209", "arxiv_id": "2209.08632", "language": "en", "url": "https://arxiv.org/abs/2209.08632" }