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1,314,259,994,663
arxiv
\section{Introduction} \label{intro} The rotational bands consisting of electric quadrupole transitions are usually related to the rotation of the deformed nucleus around an axis perpendicular to the symmetry axis of the deformed density distribution. With the development of theoretical and experimental research~\cite...
1,314,259,994,664
arxiv
\section{Introduction} Globular clusters are very efficient places to produce X-ray binaries via dynamical interactions. In particular, it has been known for many years that the formation rate per unit mass of luminous ($L_X >10^{36}$\thinspace\hbox{$\hbox{ergs}\thinspace\hbox{s}^{-1}$}) X-ray sources is much higher...
1,314,259,994,665
arxiv
\section{Introduction} \label{sec:INT} Recently, much attention has been paid to brain rhythms in health and diseases \cite{Buz}. These brain rhythms emerge via synchronization between individual firings in neural circuits. This kind of neural synchronization may be used for efficient sensory and cognitive processing s...
1,314,259,994,666
arxiv
\section{Introduction} When trying to describe $\sigma$-compactness in terms of open covers, Hurewicz \cite{Hur25} introduced the following property, nowadays called \emph{ the Menger property}: A topological space $X$ is said to have this property if for every sequence $\la \U_n : n\in\omega\ra$ of o...
1,314,259,994,667
arxiv
\section{Introduction} In string perturbation theory much effort was devoted historically to understand higher point and higher genus correlation functions. For a broad overview, see e.g.~\cite{DHoker:1988pdl, Witten:2012bh}. Despite a good understanding of the integrands of string perturbation theory, performing the a...
1,314,259,994,668
arxiv
\section{\label{sec:introduction} Introduction} Economic Capital, a key tool of risk management, is computed by financial service firms to determine the amount of risk capital that they require to remain solvant in the face of adverse yet realistic conditions \cite{Porteous2003}. Financial service firms are exposed to...
1,314,259,994,669
arxiv
\section{Introduction} Quantum networks rely upon an efficient interface between the quantum memories and the photonic channels used for remote entanglement. Trapped ions are a standard platform to realize a quantum network due to their long coherence times and the availability of high fidelity quantum gate operations...
1,314,259,994,670
arxiv
\section{Introduction} \label{Sec1} The main goal of this note is to provide new results concerning the application of symmetrization methods in the context of \emph{nonlocal, nonlinear} elliptic problems. In particular, we will focus in getting new estimates for solutions to the elliptic problem \begin{equation} \labe...
1,314,259,994,671
arxiv
\section{Volume and homology} There is a connection between the homology and the volume of a simple convex polytope, that deserves to be more widely known. It leads to a presentation of the homology theory, equivalent to the usual one~\cite{bib.VD.GTV}, which is close in spirit to the concept of uniform expressions. ...
1,314,259,994,672
arxiv
\section{Introduction and Preliminaries} Among the most well-established geometrical properties of norms are smoothness and strict convexity. A norm $\ensuremath{||\cdot||}$ on a Banach space $X$ is called \textit{G\^{a}teaux smooth}, or just \textit{G\^{a}teaux}, if, given any $x \in X\backslash\{0\}$, there exists a...
1,314,259,994,673
arxiv
\section{INTRODUCTION} Recent years have seen the breakthrough of mobile robotics into the consumer market. Domestic robots have become increasingly common, as well as vehicles making use of cameras, radar and other sensors to assist the driver. An important aspect of human-robot interaction, is the ability of artific...
1,314,259,994,674
arxiv
\section{Introduction} Besides the recent high precision measurements of the $W$ mass~\cite{Karlen98,Dorigo98}, $M_W$, the most important input into precision tests of electroweak theory continues to come from the $Z$ factories LEP~1~\cite{Karlen98} and SLC~\cite{Baird98}. The vanguard of the physics program at LEP...
1,314,259,994,675
arxiv
\section*{Acknowledgements} \noindent The authors wish to thank Professor Philip K. Maini for helpful comments and feedback on the manuscript.~GC is supported by from EPSRC and MRC Centre for Doctoral Training in Systems Approaches to Biomedical Science and Cancer Research UK. C.Z. acknowledges Breast Cancer Research ...
1,314,259,994,676
arxiv
\section{Introduction} In the past few years, deep learning has emerged as a promising approach and the foundation for a wide range of real-world applications. As network architecture becomes more and more sophisticated and training costs rise, well-trained models become lucrative targets for the adversary looking to ...
1,314,259,994,677
arxiv
\section{Introduction} The nature of Dark Matter is still unknown today, but from simulations of structure formation we know it must be a neutral, Cold, collision-less (i.e. quite weakly interacting) and very long lived particle~\cite{DMreview}. Unfortunately such a particle does not exist in the Standard Model (SM...
1,314,259,994,678
arxiv
\section{Introduction} A \emph{resource} is defined as any physical object that is consumed during a process in order to perform some kind of useful action, such as the burning of fossil fuel for the generation of mechanical work to operate machinery or the amount of processing power needed to perform a computation. In...
1,314,259,994,679
arxiv
\section{Introduction} Research on gravitational lensing has grown substantially during the past two decades (see,~e.g., Schneider et~al.\ 1992; Blandford \& Narayan 1992). A major reason for this attention is the prospect of obtaining an estimate of Hubble's constant, $H_0$, directly from cosmologically distant sourc...
1,314,259,994,680
arxiv
\section{Introduction} Let $A$ be an additive group and $A$ be a subset of $A$. We denote by $S_A$ the collection of subset sums of $A$: $$ S_A= \{ \sum_{x\in B}x |B\subset A, |B| < \infty \}. $$ The following two questions are among the most popular questions in additive combinatorics \begin{question} \label{quest...
1,314,259,994,681
arxiv
\section{Introduction and context of the paper} The idea of studying ``network motifs'' in biological systems, namely simple, frequently occurring, structures from which some properties of the system may be inferred, has attracted considerable recent interest (for example \cite{alon2007,Grochow2007}). The reason is na...
1,314,259,994,682
arxiv
\section{Introduction} \subsection{Motivation}\label{secmotivation} Originally, super Brownian motion arises as the limit of branching random walks; see \cite{[D93], [CDP01], [P02]}. Recently, it has been shown that many interacting particle systems with very different dynamics, when suitably rescaled, all converge t...
1,314,259,994,683
arxiv
\section{Introduction} Exclusive electroproduction is a powerful tool for the study of nucleon structure. In contrast to inclusive $(e,e')$ or photoproduction measurements, the transverse momentum of a scattering constituent (and thus its transverse size is proportional to $1/\sqrt{-t}$) can be probed in addition to ...
1,314,259,994,684
arxiv
\section{Introduction}\label{intro} Network design to optimize the reliability of a network is one of the most classic problems in the optimization literature, with applications in many of the aspects of our lives and certainly in many more in the future. In the recent special issue to celebrate the 50-year anniversar...
1,314,259,994,685
arxiv
\section{Conclusion}\label{sec-con} In this study, we present a new prediction methodology for the time series data, based on option theories in finance when the underlying dynamics is assumed to follow the GBM process. To characterize time-varying patterns, we allow the GBM model parameters to vary over time and upd...
1,314,259,994,686
arxiv
\section{INTRODUCTION} \label{sec:intro} A key aspect of measuring total star formation rates is to assess how a galaxy's spectral energy distribution is modulated by the effects of interstellar dust. The ability to quantify dust attenuation at high redshift is hindered by the limited dynamic range in luminosity at w...
1,314,259,994,687
arxiv
\section{Introduction} Following a turbulent election season, 2016's digital footprint is awash with hate speech. Apart from censorship, the goals of enabling computers to understand inflammatory language are many. Sensing increased proliferation of hate speech can elucidate public opinion surrounding polarizing events...
1,314,259,994,688
arxiv
\section{Introduction} After forty years of studies and applications it is now clear that the density functional theory (DFT)~\cite{H&K, Mermin} constitutes a formidable tool for the understanding of the matter. Nowadays, DFT-based total energy calculations~\cite{Dreizler&daProvidencia,Gross&Dreizler,Dreizler&Gross,...
1,314,259,994,689
arxiv
\section{Introduction} In this paper we propose a Question Paraphrase Retrieval (QPR) \cite{bernhard2008answering} system that can operate at industrial scale. A QPR system retrieves a set of paraphrase questions for a given input, enabling existing question answering systems to answer rare formulations present in inc...
1,314,259,994,690
arxiv
\section{Introduction} The Milky Way is known to be a spiral galaxy, and its structure has been intensively studied for many decades (e.g., Oort, Kerr \& Westerhout 1958; Dame \etal\ 1987, 2001). However, there is still little agreement on the detailed spiral pattern, including the number of the spiral arms (e.g., C...
1,314,259,994,691
arxiv
\section{Introduction} The search ever deeper into the interior of matter successfully started by Rutherford's discovery of atomic structure is going on now at much lower scales (below 10$^{-13}$ cm) at high energy accelerators. The interaction region of colliding protons can be quantitatively explored with the help o...
1,314,259,994,692
arxiv
\section{Clumping and Surface Densities in ISM Maps} \label{sec:intro} Observations of atomic and molecular gas now achieve spatial resolution of several hundred parsecs to a few kiloparsecs in large samples of nearby galaxies \citep[e.g.][]{HELFER03,WALTER08,LEROY09} or even small sets of high redshift galaxies \ci...
1,314,259,994,693
arxiv
\section{#1}} \newcommand{\PRsection}[1]{} \pagestyle{plain} \begin{document} \title{Pressure-Driven Evaporative Cooling in Atom Guides} \author{Spencer E. Olson} \affiliation{ Air Force Research Laboratory, Space Vehicles Directorate, \\ 3550 Aberdeen Ave. SE, Kirtland Air Force Base, NM 87117-5776 } \...
1,314,259,994,694
arxiv
\section{Introduction} The Earth's magnetopause exists in a delicate balance between forces exerted between the impinging solar wind and the Earth's intrinsic magnetic field. The subsolar magnetopause is typically located approximately ten Earth radii (R$_E$) upstream but, during periods of enhanced solar wind forcing...
1,314,259,994,695
arxiv
\section{\label{sec:level1}First-level heading:\protect\\ The line The interactions between electrons determine the structural and electronic properties of solids and depend strongly on the distance between the atomic nuclei. Ultrashort laser pulses are able to drive coherent vibrational motions of the atoms (coher...
1,314,259,994,696
arxiv
\section{Introduction} \lettrine{C}{ognitive} radio (CR) is a promising paradigm that can resolve the problem of the spectrum scarcity \cite{Haykin}. Cognitive radio network (CRN) consists of primary users (PUs), who are licensed users of the spectrum, and secondary users (SUs), who can access the spectrum only when t...
1,314,259,994,697
arxiv
\section{Motivation}\label{secintro} It is still a widespread belief that a complete description of a composite entangled quantum system cannot be obtained by descriptions of the parts, if those are expressed independently of what happens to other parts. This apparently holistic feature of entangled quantum states ent...
1,314,259,994,698
arxiv
\section{Constructing Pesudo Data for Pre-training}\label{section:pseudo data} We constructed the pseudo data for CNNDM with {\bf Lead}. We also conducted a simple data cleaning procedure to the self-supervised pre-train corpus. First, we cleaned away irrelevant information, such as media names, reporter names or dat...
1,314,259,994,699
arxiv
\section{Introduction} Explaining structure formation in the expanding Universe is one of the major topics in cosmology and astrophysics. According to the current main-stream understanding, dark matter (DM) and dark energy (DE) are the dynamically dominating components of the Universe \cite{wmap,wmap12,planck}. Baryons...
1,314,259,994,700
arxiv
\subsection{Basics} \subsection{Differential Privacy (DP)} DP is a statistical disclosure control technique ensuring that the outputs of queries do not leak information about the individuals found in a dataset. It injects a certain amount of noise into the replies of the queries so that while it is not possible to in...
1,314,259,994,701
arxiv
\section{\protect\bigskip Introduction} In the past few years there has been a remarkable progress in the determination of fermion masses and mixing \cite{mix}, involving advances both in theory and experiment. In the quark sector, input from experiment includes the knowledge of $|V_{us}|$, $|V_{cb}|$, $|V_{ub}/V...
1,314,259,994,702
arxiv
\section{Introduction } Consider the two-stage linear Adjustable Robust Optimization (ARO) problem with an ellipsoidal uncertainty set \begin{mini} {\substack{\under{\vect{x},\vect{y}(\cdot)}}}{\vect{c}^T\vect{x}}{}{\name{$P_0$}} \addConstraint{A(\vect{z})\vect{x} + B\vect{y}(\vect{z})}{\leq\vect{d}(\vect{z}),\quad}{\...
1,314,259,994,703
arxiv
\section{Introduction} With the advent of precise cosmological data, it is now possible to constrain models of inflation by the measured magnitude and scale-dependence of correlated temperature perturbations in the cosmic microwave background (CMB) and from tracking density perturbations in dark matter from measuring ...
1,314,259,994,704
arxiv
\section{Cups, caps and double braiding functors}\label{sec:bimod} Throughout this section, we fix $\underline{N} = (1, 1, \dots, 1) \in \mathbb{N}^r$ and write $T^{\lambda,r} := T^{\lambda,\underline{N}}$, and $\otimes_T := \otimes_{(\oplus_{r\geq 0} T^{\lambda,r})}$. Also, when we will talk about (bi)modules,...
1,314,259,994,705
arxiv
\section{Introduction} \label{sec:introduction} This paper is concerned with the problem of estimating entropy or mutual information of an unknown probability density $p$ over $\R^D$, given $n$ i.i.d. samples from $p$. Entropy and mutual information are fundamental information theoretic quantities, and consistent esti...
1,314,259,994,706
arxiv
\section{Introduction\label{sec:biX1}} The existence of composite particles in semiconductors has been predicted long ago\cite{lampert1958}. Bound states made of conduction band electrons and valence band holes result from the Coulomb attraction between these carriers. To name the simplest ones, these bound states are ...
1,314,259,994,707
arxiv
\section{Introduction} \emph{Actual causality} is a long-standing philosophical problem that is fundamental to the task of reasoning about and explaining observations. Given a narrative or history of events and an observed effect, solving this problem involves finding the events or actions from this history that are re...
1,314,259,994,708
arxiv
\section{Introduction} In the span of a few years, supervised image classification has made remarkable progress and even surpassed humans on specific recognition tasks \cite{he2016deep}. Its success depends on few important factors, namely, stochastic gradient descent to optimize millions of parameters, GPUs to accele...
1,314,259,994,709
arxiv
\section{Introduction} Let $(u_n)_{n \geq 0}$ be a linear recurrence over the integers, that is, $(u_n)_{n \geq 0}$ is a sequence of integers satisfying \begin{equation*} u_n = a_1 u_{n - 1} + a_2 u_{n - 2} + \cdots + a_k u_{n - k} , \end{equation*} for all integers $n \geq k$, where $a_1, \ldots, a_k \in \mathb...
1,314,259,994,710
arxiv
\section{{#1}}} \newcommand{\uple}[1]{\text{\boldmath${#1}$}} \def\stacksum#1#2{{\stackrel{{\scriptstyle #1}} {{\scriptstyle #2}}}} \newcommand{\uple{x}}{\uple{x}} \newcommand{\uple{y}}{\uple{y}} \newcommand{\uple{m}}{\uple{m}} \newcommand{\uple{n}}{\uple{n}} \newcommand{\mathbf{C}}{\mathbf{C}} \newcommand{\mathb...
1,314,259,994,711
arxiv
\section{Introduction} \label{sec:intro} \input{01-introParticle.tex} \section{Particle Filtering} \label{sec:particle} \input{02-particleFiltering.tex} \section{Unrolling Particles} \label{sec:unrolling} \input{03-unrolling.tex} \section{Numerical Experiments} \label{sec:sims} \input{04-sims.tex} \vspace{0...
1,314,259,994,712
arxiv
\section{Introduction}\label{S1} \subsection{Statement of Results} In this paper we are concerned with understanding the rectifiability properties of doubling measures. Our ultimate goal is to characterize rectifiable doubling measures. Recently Tolsa provided such a characterization for 1-rectifiable measures with ...
1,314,259,994,713
arxiv
\section{Introduction} In a generic supergravity theory, the soft supersymmetry breaking scalar masses, gaugino masses and $A$ and $B$ terms are free parameters. On the other hand if the supergravity theory is the low energy limit of an orbifold compactificaion of the heterotic string then these parameters are calcul...
1,314,259,994,714
arxiv
\section{Introduction} Many extensions to the standard model of particle physics contain an extra U(1) gauge factor corresponding to a hidden sector of particles~\cite{abel, goodsell}. The only interaction between this hidden sector and normal matter is a weak kinetic mixing between the photon $\gamma$ and hidden sect...
1,314,259,994,715
arxiv
\section{The new superchiral superconnection $\widetilde{A}$} The de Rham complex over a 4-dimensional differentiable manifold is the space of all differential exterior-forms of all degrees from 0 to 4: $\widetilde{A} = \phi + a + b + c + e$. In Yang-Mills theory, the scalars $\phi$ are considered as zero-forms, i.e. ...
1,314,259,994,716
arxiv
\section{Introduction} The discovery of high-temperature superconductivity in H$_3$S at extreme pressures~\cite{drozdov2015conventional} stimulated an intense hunt for novel hydride compounds with even higher $T_\text{c}$'s, spearheaded by computational material discovery~\cite{Boeri_2019,Lilia_2022,FLORESLIVAS20201,Zu...
1,314,259,994,717
arxiv
\section{Introduction}\label{Intro} This paper faces the problem of the global history of star formation and chemical enrichment of the whole Universe, otherwise known as the baryon budget in galactic halos or the history of the so-called star formation rate density SFRD(z). Since the seminal studies by \citet{Tins...
1,314,259,994,718
arxiv
\section{Introduction} An instance of the envy-free cake-cutting problem consists in the following. We are given $n$ players, numbered from $1$ to $n$, and a cake to be divided among them. Since the cuts are achieved with parallel knives, the cake is identified with the segment [0,1] so that knife cuts are just points...
1,314,259,994,719
arxiv
\section*{Title and length} \subsection*{Title} Sequential/Session-based Recommendations: Challenges, Methods and Opportunities \subsection*{Proposed Length of the Tutorial} Half day (3 hours plus breaks) \section*{Tutorial format} Online \section*{Intended Audience and Prerequisite Knowledge} \subsection*{Inten...
1,314,259,994,720
arxiv
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{A} network is a set of inter-connected items with a powerful mathematical basis for modeling many real-world systems, such as the Internet, World Wide Web, and transportation networks \cite{newma...
1,314,259,994,721
arxiv
\section{Introduction} Many physical, chemical and biological systems can be modelled with (partial) differential equations. They capture a system's interactions, scales and conserved quantities in an interpretive manner. Unfortunately, manually deriving these equations from first principles is a time-consuming proces...
1,314,259,994,722
arxiv
\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\bfseries \centering }} \def\@secnumfont{\bfseries} \makeatother \usepackage{graphicx} \newcommand{\textcolor}{\textcolor} \newcommand{\mathbb C}{\mathbb C} \newcommand{\mathbb D}{\mathbb D} \n...
1,314,259,994,723
arxiv
1,314,259,994,724
arxiv
\section*{$\mathbb{Z}_Q$ Berry phases} \subsection{Hyper-pyrochlore lattice models} Recently, it is found that the breathing kagome model and breathing Pyrochlore model have the higher-order topological insulator (HOTI) phase [27, 29]. In the HOTI phases, the models have mid-gap corner states, which is exactly solvab...
1,314,259,994,725
arxiv
\section{Introduction and summary.} We study solutions of the Einstein equations of $d + 2$ dimensional gravity with a cosmological constant. The solutions represent $(d-1)$-branes embedded in a space with two compact transverse dimensions with a positive curvature. They generalize the static solutions of Deser and ...
1,314,259,994,726
arxiv
\section{Introduction} Black hole entropy is discussed in a number of contexts: thermodynamics and statistical mechanics \cite{BCH,Bekenstein,Gibbons hawking,'t Hooft,Wald review}, quantum entanglement \cite{Bombelli,Srednicki,Plenio}, spacetime symmetries \cite{Wald 1,wald iyer,Carlip,Silva} and more. It is not ...
1,314,259,994,727
arxiv
\section{Introduction} \subsection{Motivation and related literature} \quad In reliability engineering and system security, one of the most useful methods for enhancing the reliability characteristics of a system is to allocate redundant components to the system. The redundancy can be performed at the component level o...
1,314,259,994,728
arxiv
\section{Introduction} Adaptive control is an approach used to deal with systems with uncertain and/or time-varying parameters. In the classical approach to adaptive control, one combines a linear time-invariant (LTI) compensator together with a tuning mechanism to adjust the compensator parameters to match the plan...
1,314,259,994,729
arxiv
\section{ Introduction } \label{sec:1} \indent\indent The description of hadron physics starting from quantum chromodynamics \break (QCD) -- the theory of strong interactions -- is one of the most challenging problems in medium energy physics of today. The difficulty in the description of the low energy sector of QCD ...
1,314,259,994,730
arxiv
\section{Introduction} The family of multilayer graphite is one of the most intriguing paradigms in the realm of modern condensed matter. The simplest model in the group, graphene, has drawn enormous attention from both theoretical and experimental communities\cite{RevModPhys.81.109}. Its linear dispersion at low energ...
1,314,259,994,731
arxiv
\section{Introduction}\label{sec:intro} `Multiplayer Online Battle Arena (\bb{MOBA})' is a game genre that represents team competition strategy games where two five-player teams face off to destroy each other team's base. The MOBA is one of the most successful games genres nowadays. Especially, in the League of Lege...
1,314,259,994,732
arxiv
\section{Introduction and statement of the result} If $Z$ is a real L\'evy process without Gaussian part, finding a necessary and sufficient condition on its jumping measure $\nu$ for the absolute continuity of $Z_t$ at some given $t>0,$ is a hard problem for which no sensible conjecture has been formulated as yet. On...
1,314,259,994,733
arxiv
\section{Introduction} Over the years, a challenging task has been to explore how entanglement~\cite{horo} is distributed among the constituents of a many-body system and understand its effects on cooperative phenomena~\cite{amico,adv,mac}. For instance, it was observed that the constituents of the non-critical phases...
1,314,259,994,734
arxiv
\section{Introduction} In the heart of superfluidity -- which includes a whole collection of phenomena -- are non-classical rotational properties and the support of persistent currents \cite{SF}. One of the easiest and idealized models for the study of these properties is the one where the particles move in a ring ...
1,314,259,994,735
arxiv
\section{Introduction} The main goal of this study is a deep analysis of canonical transformations of the Hamiltonian dynamical variables which are applied in the metric gravity. We investigate general properties of such transformations and formulate some criteria of canonicity. Another our aim is to discuss modific...
1,314,259,994,736
arxiv
\section{Introduction} As Conversation Agents become increasingly ubiquitous, more and more people are adopting the systems into their daily routines, with many leading smartphone models now containing some version of conversational agent (CA) built in. CAs allow users to interact with and navigate the digital world e...
1,314,259,994,737
arxiv
\section{Introduction} \paragraph{Mathematical morphology} is a structure-based analysis of images constructed on set theory concepts. Two main induced transformations in mathematical morphology are dilation and erosion established initially by translations, unions and intersections on subsets of euclidean spaces. Thes...
1,314,259,994,738
arxiv
\section{Introduction} \label{sec:intro} \PARstart{D}etecting correlated network flows, also known as flow linking, is a technique for traffic analysis with wide applications in network security and privacy. For instance, it may be utilized to expose a stepping stone attacker who hides behind proxy hosts. Alternativel...
1,314,259,994,739
arxiv
\section{Introduction} The prosperity of Esport catalyzes a significant research interest for academics~\cite{yu2018fine, xugccegame, tanaka2021lol} and industrial researchers~\cite{johnson2019impacts, whyesports} to pay attention to research topics of Esport’s game commentary since the game commentator could entertain...
1,314,259,994,740
arxiv
\section{Introduction} The properties of neutrinos that propagate through a medium have been the subject of great interest in the recent literature. This has been motivated by the attractive suggestion that the solar neutrino problem \cite{palrev} can be solved by the resonant oscillation mechanism \cite{MiSm86}, wh...
1,314,259,994,741
arxiv
\section{Introduction} \par Let $\Omega$ be a domain in the complex plane and consider the space $\holo$ of all the functions that are holomorphic on $\Omega$ with the topology of uniform convergence on compacta. In the first section of this article we show that, for a function $f \in \holo$, the phenomenon of its $k...
1,314,259,994,742
arxiv
\section{ATTACK TECHNIQUES} In this section, we revise the definition of Byzantine tolerance in distributed synchronous SGD. Then, we theoretically analyze the Byzantine tolerance of coordinate-wise median and Krum, and show that under certain conditions, these two robust aggregation rules are no longer Byzantine-tole...
1,314,259,994,743
arxiv
\section{Conclusion} \label{sec:conc} We have presented an algorithm for identity testing of markov chains which avoids any dependence on brittle connectivity properties like the hitting time resolving a open question from \cite{daskalakis2017testing}. However, there are several open questions potentially relating to ...
1,314,259,994,744
arxiv
\section{Introduction} \IEEEPARstart{N}{eural} networks often consist of a large number of nodes arranged in deep layers. As researchers have addressed an increasingly wide variety of problems using neural networks, these network architectures have become increasingly complicated. High-performance networks often conta...
1,314,259,994,745
arxiv
\section{Introduction} Despite decades of research, planet formation is still not fully understood. At the point of formation, the protoplanetary disk is thought to contain submicron dust grains. The formation of planetesimals out of these grains is one of the more uncertain aspects in the theory of planet formation, ...
1,314,259,994,746
arxiv
\section{Introduction} Mobile networks are vulnerable to \emph{signalling attacks} which overload the control plane through traffic patterns that target the signalling procedures involved \cite{Serror2006,Enck2005,Lee2009,Ricciato2010}, by compromising a large number of mobile devices as in network Denial of Service (...
1,314,259,994,747
arxiv
\section{Introduction} Throughout this paper we let $\HC$ denote a separable Hilbert space with inner product $\left\langle\cdot,\cdot\right\rangle_\HC$. Unless we explicitly state otherwise, we assume that $\HC$ is infinite-dimensional. We denote by $\LC=\LC\left(\HC\right)$ the space of bounded linear transformatio...
1,314,259,994,748
arxiv
\section{Introduction} The generalized surface quasi-geostrophic (gSQG) equation \begin{subequations}\label{sqg}\begin{eqnarray} & \theta_t + \vec{u} \cdot \nabla \theta = 0, \label{sqg1}\\ & \vec{u} = \nabla^\perp (-\Delta)^{-\alpha/2} \theta, \label{sqg2} \end{eqnarray}\end{subequations} is a transport equation in ...
1,314,259,994,749
arxiv
\section{Introduction} \label{Introduction} Particles produced in non-central relativistic nucleus-nucleus collisions are predicted to be globally polarized along the direction of the system's orbital angular momentum, perpendicular to the reaction plane~\cite{LiangPRL94, Voloshin0410089, Liang0411101}. The origin of...
1,314,259,994,750
arxiv
\subsection*{#1}} \definecollection{appendix-suspect} \definecollection{appendix-algorithm} \definecollection{appendix-mean-payoff} \bibliographystyle{abbrv} \title{Robust Equilibria in Mean-Payoff Games} \author{Romain Brenguier\thanks{Work supported by ERC Starting Grant inVEST (279499).} \\ \texttt{romain.bren...
1,314,259,994,751
arxiv
\section{Introduction} \label{sec:intro} Kohn-Sham density functional theory (DFT)~\cite{HohenbergKohn1964,KohnSham1965} is the most widely used electronic structure theory for molecules and systems in condensed phase. The Kohn-Sham orbitals (a.k.a. Kohn-Sham wavefunctions) are eigenfunctions of the Kohn-Sham Hamilton...
1,314,259,994,752
arxiv
\section{Discontinuous-Galerkin scheme} We consider a usual first-order system of hyperbolic balance laws \begin{align} \label{eq:GeneralHyperbolicSystem1D} \partial_\timevar\moments+\partial_{\z}\ensuremath{\bF}\left(\moments\right) = \ensuremath{\bs}\left(\moments\right), \end{align} where $\moments(\timevar,\ensur...
1,314,259,994,753
arxiv
\section{Introduction} With the rapid growth of Open Educational Resources (OER) \cite{unesco1} and Massively Open Online Courses (MOOC) \cite{ramesh2014learning,Guo_vid_prod}, large educational resource repositories need scalable tools to understand and estimate the engagement potential of newly added materials \cite{...
1,314,259,994,754
arxiv
\section{Introduction} \label{sec:intro} It is commonly accepted that most stars in the Milky Way were born in close proximity to other stars, constituting a stellar structure that formed at the same time within the same parental molecular gas structure \citep[e.g.][]{Lada_2003}.\footnote{In this work we will use the ...
1,314,259,994,755
arxiv
\section{Introduction} Near-Earth Apollo asteroid (1566) Icarus = 1949 MA was discovered by Baade (1949) as a 16th magnitude fast-moving object, on a plate taken using the 48-inch Palomar Schmidt on 1949 June 10, when Icarus approached the Earth to within 0.10 AU, near its descending node. Its orbital parameters were ...
1,314,259,994,756
arxiv
\section{Introduction} The polarization is of fundamental importance in understanding condensed-matter systems~\cite{AshcroftMermin,Kittel}. Historically, theories of the polarization were first developed in order to understand ferroelectric materials with macroscopic electric polarization~\cite{Rabe}. The total elec...
1,314,259,994,757
arxiv
\section{Introduction} \label{sec:Intro} Millimeter wave (mmWave) and massive MIMO are key enabling technologies for current and future wireless systems \cite{Rappaport2013a,HeathJr2016,Larsson2014a,Alkhateeb2014d,Boccardi2014,Jungnickel2014,Bjoernson2016a,Mumtaz2016}. This is mainly thanks to the very high data r...
1,314,259,994,758
arxiv
\section{Introduction} Sparse matrix-matrix multiplication is a key operation in large-scale electronic structure calculations based on for example Hartree--Fock or Kohn--Sham density functional theory~\cite{DBowler12}. Sparse matrix-matrix multiplication is used in particular in polynomial expansion~\cite{pur-pm} and ...
1,314,259,994,759
arxiv
\section{Introduction} In this paper, we study the design of revenue-maximizing bilateral trade mechanisms when the mechanism designer is poorly informed of the values of the buyer and the seller. The mechanism designer’s revenue is the difference between what the buyer pays and what the seller receives. We could th...
1,314,259,994,760
arxiv
\section{} \section{Introduction\label{se:intro}} The observables Forward-Backward Asymmetries (FBAs) have played an important role in the history of particle physics. Examples include the discovery of the parity violation of weak interaction \cite{Lee:1956qn,Wu:1957my,Garwin:1957hc}, the precision measurement of the...
1,314,259,994,761
arxiv
\section{Simulational Results} \label{shear} \subsection{Velocity Profiles} As mentioned in Section \ref{model}, we create a shear flow in our system by applying an external field with constant gradient along the $z$-axis of the box so that the flow is oriented along the $x$-direction - cf. Eq.(\ref{Met}), parallel t...
1,314,259,994,762
arxiv
\section{introduction} \label{introduction} Carbon is one of the most fascinating elements in nature, which can form many different crystal structures with diverse electronic properties, such as C$_{60}$,~\cite{C60} nanotube,~\cite{nanotube} graphene,~\cite{Graphene-scotch} graphite, and diamond. Among them, graphene ...