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1,116,691,501,215
arxiv
\section{Introduction} \label{intr} Kroll et al. (1987) showed that the near infrared fluxes and colors of Chemically Peculiar stars (or CP stars, according to Preston's (1974) scheme), when compared to a black body, are normal, like that of early main sequence stars. IRAS data could even prove that the normality of...
1,116,691,501,216
arxiv
\section{Introduction} Extensive work has been done on temporal action/activity localization~\cite{shou2016temporal,zhao2017temporal,dai2017temporal,buch2017sst,gao2017turn,chao2018rethinking}, where an action of interest is segmented from long, untrimmed videos. These methods only identify actions from a pre-defined s...
1,116,691,501,217
arxiv
\section{Introduction}\label{s-1} \include{introduction} \include{td} \include{braungardt} \include{boundary3} \include{schottky} \frenchspacing \section{Boundary points of Teichm\"uller curves} The aim of this chapter is to study the boundary points of the Teichm\"uller disks and Teichm\"uller curves introduced...
1,116,691,501,218
arxiv
\section{Introduction} \label{sec:intro} Stars form in the high-density parts of molecular clouds, i.e., dense cores. A dense core prior to the protostellar phase is called a starless core, and a gravitationally bound/unstable starless core is referred to as a pre-stellar core \citep{1994MNRAS.268..276W}. The p...
1,116,691,501,219
arxiv
\section{Introduction and Related Work} \vspace{-0.4cm} Humans interact with a rich palette of sounds \cite{gemmeke2017audio} in a wide range of acoustic environments. We experience music not only in individual settings, such as headphones and home speakers but also in highly reverberant spaces, such as theatres and co...
1,116,691,501,220
arxiv
\section{Real Case, integer $r$} \label{sec:real-case-integer} Here we prove Proposition $1$, for {\it real} matrices with integer dimension $r$, \textit{not necessarily even}. A similar result, with proof extending that of \citet[Lemma 2]{omh13} has been obtained by Alexei Onatski (personal communication) and will...
1,116,691,501,221
arxiv
\section{Introduction} The main aim of this article is to study the cohomological properties of representations of ${\rm GL}(5,\mathbb{R})$ which are obtained by a Langlands transfer of cohomological representations of $\Sp(4,\mathbb{R})$. This project started with the following observation of Labesse and Schwermer: A...
1,116,691,501,222
arxiv
\section{Introduction} \setcounter{equation}{0} \label{sec:1} We consider a magnetic field acting in the vertical direction and only depending on time $t\geq 0$ and the first two components $\bx=(x_1,x_2)\in \RR^2$, that is, $$ \bB(t,\bx) \,\,=\,\, \frac{1}{\varepsilon } \, \left( \begin{array}{l}0\\0\\b(t,\bx)\end...
1,116,691,501,223
arxiv
\section{Introduction}\label{intro} The task of supplying an answer to a question, given some background knowledge, is often considered fairly trivial from a human point of view, as long as the question is clear and the answer is known. The aim of an automated question answering system is to provide a single, unambi...
1,116,691,501,224
arxiv
\section{Introduction} The consensus problem, in which we ask whether the unanimity of one among different competing states (e.g., opinions) is reached, and its mechanisms are of interest in various disciplines including political science, sociology, and statistical physics. In models of consensus formation, it is usu...
1,116,691,501,225
arxiv
\section*{Appendix} \label{appendix} \renewcommand{\thesubsection}{\Alph{subsection}} \subsection{Superimposition Attack using $L_\infty$ Norm} \label{SI3_Linfinity} In this section we present the results from applying the Superimposition ($3\times$) attack with the $L_\infty$ norm to our model. In Table \r...
1,116,691,501,226
arxiv
\section{Introduction} \IEEEPARstart{R}{econfigurable} intelligent surfaces (RISs) allow controlling the radio propagation environment, thus providing novel degrees of freedom for the design of wireless systems~\cite{liu2021reconfigurable, Prasad2021}. An RIS is a low-cost passive flat surface made of sub-wavelength r...
1,116,691,501,227
arxiv
\section{Introduction} Consider the problem of estimating the velocity field of oceanic currents by releasing into the water a cloud of tracer particles and by sampling their distribution at a later time. The diffusion coefficient is assumed known and the original cloud that is released at time $t=0$ consists of $N$ ...
1,116,691,501,228
arxiv
\section{Introduction} \label{sec:sn1572_hires:introduction} \glspl*{snia}\ are of great interest. They represent some of the most extreme physical situations in stellar astronomy, control the chemical evolution of galaxies and the Universe at intermediate to late times by producing large amounts of iron-group eleme...
1,116,691,501,229
arxiv
\section{Introduction} \addtocontents{toc}{\protect\setcounter{tocdepth}{1}} Let $\Gamma$ be a finite simplicial graph and denote its vertex set and edge set by $\vv \Gamma$ and $\ee \Gamma$, respectively. The associated \textit{right-angled Artin group} (RAAG) $\raag \Gamma$ is the group defined by the following fini...
1,116,691,501,230
arxiv
\section{Introduction} \label{sec:intro} An exoplanet is, in general, a planet orbiting a star other than our Sun. The first confirmed discoveries of exoplanets were made in the early 1990s, opening up a field that is rapidly expanding with several thousand confirmed exoplanets known today, giving us insight into diff...
1,116,691,501,231
arxiv
\section{Introduction} Spontaneous emission of light from initially excited atoms became one of the corner stones of our understanding of the interaction of light and matter, soon after the introduction of the ``photon''. It was introduced phenomenologically by Einstein \cite{Ein16} through his famous $A$-coefficient ...
1,116,691,501,232
arxiv
\section{Introduction} \noindent A common goal in precision optics is to use feedback \cite{Bechhoefer2005Feedback} to stabilize (lock) the frequency of a laser to that of an external system such as a Fabry-Perot resonator \cite{Drever1983Laser} or atomic transition \cite{Dschao1980I2, Cerez1980He}. This can be used ei...
1,116,691,501,233
arxiv
\section{Introduction} Let $T\colon X\mapsto X$ be a measure preserving transformation of the standard Borel probability space $(X,\mathcal{B},\nu)$. The well-known Theorem of Birkhoff states that for any $f\in L^1(X,\mathcal{B},\nu)$, the limit $$ \lim_{n\to\infty}\frac{1}{n}\sum_{k=0}^{n-1}f(T^kx)\text{ exists...
1,116,691,501,234
arxiv
\section{Introduction} The filtering algorithms inside constraint programming solvers (\cite{choco,oscar,jacop,gecode} etc.) are mainly tested using test suites implemented manually. Creating such unit tests is a significant workload for the developers and is also error prone. The most elementary yet important tes...
1,116,691,501,235
arxiv
\section{Introduction} Recently, the filter-and-forward (FF) relaying scheme has gained an interest from the research communities as an alternative relaying strategy due to its capability of performance improvement over simple AF relays and still low complexity compared with other relaying strategies such as decod...
1,116,691,501,236
arxiv
\section{Introduction} According to well verified observations the universe is currently exhibiting an accelerated expansion. Although the simplest explanation would be the cosmological constant \cite{Weinberg:1988cp}, the possible dynamical features require for more radical modifications. Hence, one can either a...
1,116,691,501,237
arxiv
\section{INTRODUCTION} Connected and autonomous vehicles have emerged as an extensive and promising research area over the past two decades~\cite{qayyum2020securing}. As a closely related topic, vehicular platooning earns its reputation by providing driving/passenger comfort, improved energy efficiency, pollution reduc...
1,116,691,501,238
arxiv
\section{Introduction} Data poisoning \cite{biggio2012poisoning,jagielski2018manipulating,shafahi2018poison,steinhardt2017certified,zhu2019transferable} is a training-time attack where the attacker is assumed to have access to the training data on which the victim will train the model. The attacker can modify the trai...
1,116,691,501,239
arxiv
\section{Introduction}\label{sec:intro} The primitive equations are a model for oceanic and atmospheric dynamics and are derived from the Navier-Stokes equations by assuming a hydrostatic balance for the pressure term, see \cite{Lionsetall1992, Lionsetall1992_b, Lionsetall1993}. These equations are known to be global...
1,116,691,501,240
arxiv
\section{Introduction} Sachdev--Ye--Kitaev (SYK) model was proposed by Kitaev~\cite{Kitaev-talks} as a generalization of Sahdev--Ye model~\cite{Sachdev-Ye, Sachdev-1006} and first was extensively studied in~\cite{Polchinski, Maldacena-SYK, Kitaev, Jevicki-1, Jevicki-2}. Ever since it has received a great attention fro...
1,116,691,501,241
arxiv
\section{Characterizing Deep Learning Personalized Recommendation Models} \label{sec:char} This section describes the general architecture of DL-based recommendation models with prominent sparse embedding features and their performance bottlenecks. As a case study, we conduct a thorough characterization of the recen...
1,116,691,501,242
arxiv
\section{Introduction} \begin{figure}[hbt] \centering \includegraphics[width=\columnwidth]{event_building_upgrade.png} \caption{The architecture of the upgraded \ac{LHCb} readout system.\label{daq_system}} \end{figure} The \ac{LHCb} experiment\ \cite{LHCb} will receive a substantial upgrade\ \cite{tdr_upg...
1,116,691,501,243
arxiv
\section*{Acknowledgements} We thank Giacomo Bighin and Luca Salasnich for stimulating discussions. We also thank Stefano Giorgini and Tomoki Ozawa for useful comments. This work has been supported by the QUIC grant of the European Horizon2020 FET program and by Provincia Autonoma di Trento. \par
1,116,691,501,244
arxiv
\section{Introduction} \label{sec:intro} \begin{figure}[t] \setlength{\fboxrule}{1pt} \centering \begin{subfigure}[c]{0.9\linewidth} \includegraphics[width=\linewidth]{img/teaser_img} \caption{Reference Image} \vspace{1mm} \end{subfigure} \begin{subfigure}[c]{0.9\linewidth} \begin{overpic}[width=\linewi...
1,116,691,501,245
arxiv
\section{Introduction} In this article, we introduce Liesel,\footnote{\url{https://liesel-project.org}} a probabilistic programming framework for the development and estimation of a broad range of Bayesian models in Python. The framework, named after a fountain in its birth city G\"{o}ttingen, Germany, allows the user...
1,116,691,501,246
arxiv
\section{Introduction} {\bf 1.1.}\, Isaac Newton in his {\it Principia} \cite{N} studied the following problem of optimization. A solid body moves with constant velocity in a sparse medium. Collisions of the medium particles with the body are perfectly elastic. The absolute temperature of the medium is zero, so as ...
1,116,691,501,247
arxiv
\section{Introduction}\label{Sec:Introduction} The acquisition of downlink channel state information (CSI) in frequency division duplex (FDD) massive multi-input multi-output (MIMO) systems has been a long-term problem that obsesses the mobile communication industry \cite{Araujo2016,Elijah2016,Fan2017}. Without the re...
1,116,691,501,248
arxiv
\section{Introduction} This paper is a follow-up and update of our previous paper \cite{ Bailey:2015tba, Bailey:2015frw}. In the standard model, the indirect CP violation parameter of the neutral kaon system $\varepsilon_{K}$ is \begin{align} \label{eq:epsK_def} \varepsilon_{K} & \equiv \frac{\mathcal{A}(K...
1,116,691,501,249
arxiv
\section{Introduction} Given a tractable and often normalized base distribution $\pi_0(z)$ and unnormalized target $\tilde{\pi}_1(z)$, many statistical methods require a path $\gamma: [0, 1] \to \mathcal{P}$, where $\mathcal{P}$ is a family of unnormalized density functions with $\gamma(0) = \pi_0(z)$ and $\gamma(1) =...
1,116,691,501,250
arxiv
\section{Introduction} Transport networks occur in a vast variety of natural systems. From river basins to leaf venation, we observe a spectrum of solutions to the problem of optimal distribution through a landscape, given a set of constraints on the construction of links. Previous work on treelike networks originate...
1,116,691,501,251
arxiv
\section{Introduction} Linear colliders offer unique opportunities to study high energy photon-photon collisions obtained using the process of Compton backscattering of laser light off electron beams from the linear collider \cite{Telnov97}. This option is included now in conceptual design reports of the NLC, JLC and ...
1,116,691,501,252
arxiv
\section{Conclusion} \vspace{-0.7em} XXX \section{Experimental Setup} \vspace{-0.5em} The setup used to demonstrate SWIFT is shown in Fig. 2(a). A pair of commercial Oclaro (now Lumentum) digital-supermode distributed Bragg reflector (DS-DBR) lasers were driven by 250 MS/s arbitrary waveform generators (AWGs) ...
1,116,691,501,253
arxiv
\section{Introduction}\label{sec:intro} There has been an emerging trend in representation learning that learns to disentangle from an image latent codes accounting for the various dimensions of the input, e.g., illumination, pose, and attributes~\cite{DBLP:BaoCWLH17,DBLP:ShuYHSSS17,disentangled:cvpr17}. Yet one of th...
1,116,691,501,254
arxiv
\section{Introduction} Ultra-short laser pump-probe techniques in condensed-matter systems have opened the possibility to generate correlated nonequilibrium phases, such as photo-induced metallic states in Mott insulators \cite{Iwai03}, and to study their dynamics on femtosecond timescales. On a fundamental level, see...
1,116,691,501,255
arxiv
\section{Introduction} Fix an orientable surface $\Sigma$. The goal of this paper is to quantify the extent to which algebraically complicated elements of $\pi_1(\Sigma)$ must exhibit topological complexity. We begin with some definitions. Let $c : S^1 \rightarrow \Sigma$ be a closed curve. We define the {\em se...
1,116,691,501,256
arxiv
\section{Introduction} The aim of this note is to extend results on a model of chemically reacting heat conducting compressible gaseous mixture based on the model considered e.g. in \cite{Gi}. Results dealing with steady solutions for this model appeared recently in \cite{GPZ} and \cite{PiPo} for the case of Dirichlet...
1,116,691,501,257
arxiv
\section{Introduction} Feedback from active galactic nuclei (AGN) is considered to be one of the important processes in regulating galaxy growth over cosmic time. Several research groups have implemented AGN feedback in cosmological hydrodynamic simulations \citep[e.g.][]{DiMatteo05, Booth09}, however they all have t...
1,116,691,501,258
arxiv
\section{Introduction} \label{intro} The Transiting Exoplanet Survey Satellite (TESS) is a NASA Astrophysics Explorer mission \citep{2014SPIE.9143E..20R}, scheduled for launch at the end of 2017 and with a nominal mission duration of 2 years. TESS may be seen as the successor to the NASA \textit{Kepler}\xspace mission...
1,116,691,501,259
arxiv
\section{Introduction} The Bombieri-Vinogradov Theorem states that for any $A>0$ there is a $B=B(A)$ such that \begin{equation} \sum_{q\le x^{1/2}/(\log{x})^B}\sup_{(a,q)=1}\Bigl|\pi(x;q,a)-\frac{\pi(x)}{\phi(q)}\Bigr|\ll_A \frac{x}{(\log{x})^A}, \label{eq:BV} \end{equation} thereby showing equidistribution of pr...
1,116,691,501,260
arxiv
\section{Introduction} \label{intro} Crude oil price fluctuations have been a concern for the world macroeconomy since oil crises in 1970, 2008 and 2014. According to Organization of Petroleum Exporting Countries (OPEC), the oil price dropped from \$145 to \$30 in mid 2008 and reached to the low price of \$27 in 2014. ...
1,116,691,501,261
arxiv
\section{Introduction} The experimental demonstration of Bose-Einstein condensates (BEC) \cite{dalfovo} has lead to the development of atom lasers by outcoupling atoms from trapped BECs by either a radio frequency transition or a Raman transition to change the internal state of the atom to one that is either untrappe...
1,116,691,501,262
arxiv
\section{Introduction} Characterising the different forms of correlations shared by the constituents of a composite quantum system is essential for the theoretical understanding and for the operational exploitation of the quantum system itself \cite{Horodecki2009,Modi2012}. Correlations which cannot be amenable to a...
1,116,691,501,263
arxiv
\subsection{LASSO: $\lambda$-path} \subsubsection{$\lambda$-path: path \wrt to $\lambda$ ($\tau$ fixed)} Since $\tau$ is fixed, we drop it from the notation. The normal equation of the $\lambda$-path can be written as \begin{align*} - X^T\left( y - X\beta \right) + \lambda s(\lambda) &= 0 \end{align*} where, \(s(\...
1,116,691,501,264
arxiv
\section{Introduction} \label{section1} Timely status updates play a key role in networked control and monitoring systems. Age of Information (AoI) has recently been introduced to quantify the timeliness of information freshness in status update systems \cite{kaul_etal_SMAN11}. In the general AoI framework outlined ...
1,116,691,501,265
arxiv
\section{Introduction} Let $\mathcal{P}$ denote the set of polynomials in the complex variable $z.$ For a compact subset $K$ of the complex plane $\mathbb C,$ let $Rat(K)$ be the set of rational functions with poles off $K.$ For $1 \le t < \infty$ with conjugate exponent $t' = \dfrac{t}{t-1}$ and a finite positive mea...
1,116,691,501,266
arxiv
\part{\part{title}} \textwidth6.2in \textheight8.5in \oddsidemargin0.00in \evensidemargin0.00in \newtheorem{thm}{Theorem}[section] \newtheorem{cor}[thm]{Corollary} \newtheorem{lem}[thm]{Lemma} \newtheorem{example}[thm]{Example} \newtheorem{prop}[thm]{Proposition} \theoremstyle{definition} \newtheorem{defn}[thm]{Definit...
1,116,691,501,267
arxiv
\section{Introduction} This note is concerned with the problem of counting independent sets in hypergraphs. We start with the basic definitions. A \emph{hypergraph} $H=(W,\mathcal{E})$ is specified by a set of vertices $W$ and a set of hyperedges, where each hyperedge $e\in\mathcal{E}$ is a subset of $W$. It i...
1,116,691,501,268
arxiv
\section{Introduction} \md{Knowledge Graphs (KG) allow to merge and connect heterogeneous data despite their differences, and this flexibility is key to their success. As they are incomplete by design, the drawback is that entities in a collection can have heterogeneous descriptions, potentially producing unreliable ...
1,116,691,501,269
arxiv
\section{Introduction} In an interesting paper \cite{MW} the physicists Mehlig and Wilkinson introduce, in connection with their study of the Gutzwiller semiclassical trace formula, a class of unitary operators $\widehat{S}:L^{2}(\mathbb{R}% ^{n})\longrightarrow L^{2}(\mathbb{R}^{n})$. These operators are defined as f...
1,116,691,501,270
arxiv
\section{Basic concepts and evolutionary regimes} \label{Intro} The basics of mathematical population genetics were developed in the 1930's by Fisher, Haldane and Wright \cite{Fisher,Haldane1927,Haldane1931,Wright1931,Wright1932}. These three names are generally associated with the 'modern synthesis' of evolutionary ...
1,116,691,501,271
arxiv
\section{Introduction} \subsection{Recurrence and Lyapunov Exponents} \hspace*{1em}\let\thefootnote\relax\footnote{\hspace*{-2em} Key words: Affine group, Grassmannian, random walk, recurrence, stationary probability.\\ AMS-MSC : 22E40, 60J20.} Consider a locally compact group $G$ acting continuously on a locally co...
1,116,691,501,272
arxiv
\section{Introduction} ALICE (A Large Ion Collider Experiment) \cite{JINST} is a general-purpose heavy-ion experi\-ment at the CERN LHC. Its main goal is to study the physics properties of the quark-gluon plasma (QGP). During LHC Run~1 (2009-2013) and Run~2 (2015-2018), the analysis of the data collected in heavy-i...
1,116,691,501,273
arxiv
\section*{Abstract} Complex distribution networks are pervasive in biology. Examples include nutrient transport in the slime mold \emph{Physarum polycephalum} as well as mammalian and plant venation. Adaptive rules are believed to guide development of these networks and lead to a reticulate, hierarchically nested topol...
1,116,691,501,274
arxiv
\section{Introduction} \label{intro} Consider the Navier--Stokes equations (N.S.E.) on a two dimensional torus ${\mathbb T}^2$, \begin{equation} \label{E11a} \begin{aligned} &\partial_t\vec u(t,x)+ \vec u(t,x)\cdot \nabla_x\vec u(t,x)= \Delta_x\vec u(t,x )-\nabla_x p(t,x)+ \vec F(t,x),\\ & \nabla \cdot \vec u(t,x)=...
1,116,691,501,275
arxiv
\section{Quaternionic Theories.} The established formalism of quantum mechanics identifies physical observables with Hermitian operators on a Hilbert space of states. The existence of quantum states consisting of superpositions of pure states is permitted by the Hilbert space structure. Operators corresponding to diff...
1,116,691,501,276
arxiv
\section{Introduction} { Edge Computing (EC) is an enabling paradigm for developing technologies like the Internet of Things (IoT), 5G, online gaming, augmented reality (AR), vehicle-to-vehicle communications, smart grids, and real-time video analytics. In essence, EC brings the services and utilities of cloud com...
1,116,691,501,277
arxiv
\section{Introduction} \label{sec:introduction} While communication networks have traditionally been designed as ``bit pipes'' meant to reliably convey information, the anticipated explosion of device-to-device communications, e.g., as part of the Internet of Things, is creating new challenges. In fact, more than co...
1,116,691,501,278
arxiv
\section{Introduction}\label{sec:intro} The hard X-ray source GRS~1758\ensuremath{-}258 was discovered in 1990 \citep{mandrou:90a,sunyaev:91a} during observations of the Galactic Center region performed with the \textsl{Granat} satellite. Most of the time the source displays X-ray properties similar to the canonical ...
1,116,691,501,279
arxiv
\section{Learning Feature Interactions} \label{sec:learning} \begin{figure*}[th!] \centering \scalebox{0.8}{\includegraphics[width=\linewidth]{pictures/Framework_with_specifications.png}} \caption{Proposed Framework to Detect Unwanted Feature Interactions in a Software Product Line} \label{fig:framework} \en...
1,116,691,501,280
arxiv
\section{Introduction} Rodent models are widely used in preclinical studies to evaluate treatments and understand pathophysiology and behavioral changes associated with a variety of brain diseases and injuries, including ischemia \cite{Lo2003-nn} and traumatic injury \cite{cabeen2020computational}. Magnetic Resonance ...
1,116,691,501,281
arxiv
\section{Introduction}\lb{s-i} The first and foremost aim of this paper is to develop the classical and quantum field-to-particle transition formalism for multiscalar field theory in two-dimensional flat spacetime. Below we will call this formalism as ``zero-brane'' in the sense ``non-minimal point particle'' rather...
1,116,691,501,282
arxiv
\section{Notation and Kinematics} Consider an arc length parametrized, time-dependent, planar curve ${\bf X}(s,t)$ carrying the dyad of unit vectors $(\uvc{t},\uvc{n})$ such that \begin{equation} \partial_s \left(\begin{array}{c} {\bf X}\\ \uvc{t}\\ \uvc{n}\\ \end{array}\right) = \left(\begin{array}{cccc}...
1,116,691,501,283
arxiv
\section{Introduction} Compression of complementary sequences \cite{DK:DCC:2015} has been proved to be a valuable tool to discover several new complementary sequences of various kinds in the past decade. \section{Legendre Pairs of lengths \ellmodfive} \noindent We consider Legendre Pairs $(A,B)$ of length \ellmodfi...
1,116,691,501,284
arxiv
\section{Introduction} \label{sec:intro} Image-based brain parcellation is a fundamental tool for understanding brain organization and function, in which the brain is divided into multiple non-overlapping and interacting regions \citep{eickhoff2018imaging}. Modern neuroimaging techniques enable the collection of whol...
1,116,691,501,285
arxiv
\section{Introduction and Background} The advent of large and high-resolution cosmological simulations such as the Renaissance Simulations \citep{2015ApJ...807L..12O,2016ApJ...833...84X} provide an opportunity to glean observables from theoretical and numerically-deduced phenomena. However because radiative transfer ...
1,116,691,501,286
arxiv
\section{Introduction} \label{sec:intro} Parallel workloads are often modeled as directed acyclic task graphs, or DAGs, where nodes represent tasks and edges represent dependencies between tasks. Task graphs arise from many scientific domains, such as image processing, genomics, and geophysical simulations. In this p...
1,116,691,501,287
arxiv
\section{Diffraction of position-momentum entangled photons from a sharp edge} To findout quantum diffraction pattern of position-momentum entangled photons from a straight sharp edge, consider a schematic diagram given in Fig.~\ref{fig1}. In experiment, position-momentum entangled photons are produced by a type-I spo...
1,116,691,501,288
arxiv
\section{Introduction} The Standard Model (SM) based on the gauge symmetry $SU(3)_C\times SU(2)_L\times U(1)_Y$ is a successful description of fundamental particles and interactions. Almost all the predictions of the SM have been verified experimentally. However, there are two important experimental observations (amon...
1,116,691,501,289
arxiv
\section{Introduction} In modern smart buildings, various continuous states such as the temperature, humidity and discrete states such as the air conditioning states have made the system a hybrid system. In a hybrid system, the continuous state keeps flowing in a location (also called a mode or discrete state) until a...
1,116,691,501,290
arxiv
\section{Introduction} On large scales, the observable Universe can be described in simple terms: it is very close to a homogeneous, isotropic (and probably spatially flat, although that is less clear \cite{closedFLRW}) Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) universe, with nearly scale-invariant small scal...
1,116,691,501,291
arxiv
\section{The spectral extraction package aXe} As part of a collaborative project between STScI and the Advanced Camera for Surveys (ACS) IDT, the ST-ECF provides comprehensive support for the slitless spectroscopy modes of the ACS. As well as support to users of the ACS grism (G800L for the Wide Field Channel, WFC a...
1,116,691,501,292
arxiv
\section{Conclusions}\label{ref:conc} We have presented two kernel-based tensor representations for action recognition from 3D skeletons, namely the sequence compatibility kernel (SCK) and dynamics compatibility kernel (DCK). SCK captures the higher-order correlations between 3D coordinates of the body-joints and the...
1,116,691,501,293
arxiv
\section{Introduction} \subsection{The Standard Model and New Physics} Theoretical interest in the rare decay $B \to K^*\gamma$ as a test of the Standard Model has been renewed by the experimental results of the CLEO collaboration~\cite{cleo:evidence-for-penguins}. For the first time, this mode has been positively iden...
1,116,691,501,294
arxiv
\section{Introduction} Single photon sources \cite{Lounis2005,Eisaman2011} are fundamental building blocks for quantum information protocols. Current realizations based on blockade mechanisms \cite{Paul1982} unavoidably require a strong optical nonlinearity. They are usually engineered with such systems as quantum dots...
1,116,691,501,295
arxiv
\section{Introduction} \label{intro} \rev{In this paper, we consider a Markov chain $(x_n,n\in \bN)$ with values in $E = \bR^N$, where $N\geq 1$ is an integer. We assume that the probability transition kernel $P_\gamma$ is indexed by a scaling factor $\gamma$, which belongs to some interval $(0,\gamma_0)$. The aim...
1,116,691,501,296
arxiv
\section{\label{sec:intro}Introduction} Magnetized Liner Inertial Fusion (MagLIF) is a magneto-inertial fusion concept currently being explored at Sandia's Z Pulsed Power Facility.\citep{Slutz2010,Awe2013,Gomez2014,McBride2012} MagLIF produces thermonuclear fusion conditions by driving mega-amps of current through a l...
1,116,691,501,297
arxiv
\section{Introduction}\label{sec: intro} This presentation reports an innovative application of data analysis methods derived from disciplines other than physics, namely economy and ecology, to physics software problems. They concern the analysis of inequality, trend analysis and the analysis of diversity. The analy...
1,116,691,501,298
arxiv
\section{Introduction} T~Tauri stars (TTSs) are young and low-mass ($\la 3$~M$_{\sun}$) pre-main sequence stars with strong and complex magnetic fields and a surrounding disc that is truncated near the corotation radius by interaction with the magnetic field. From the observational point of view TTSs are split into t...
1,116,691,501,299
arxiv
\section{Introduction} \label{intro} Strongly coupled quantum matter encompasses some of the most interesting problems in modern physics. Monte Carlo methods are commonly used to perform numerical simulations of theories not amenable to perturbative expansions. These methods typically rely on the path integral formula...
1,116,691,501,300
arxiv
\section{Introduction} The study of the relation between the average degree of a graph and the existence of certain substructures, like minors or topological minors, has a long history. For example, in $1996$, Bollob\'as and Thomason \cite{bollobas1996highly} and, independently, Koml\'os and Szemer\'edi \cite{kom...
1,116,691,501,301
arxiv
\section{Introduction} Since the 1960s investigations on the invariant structures of statistical models led to various approaches to incorporate geometric structures, of which notably the contributions of \textsc{N. N. Chenzow} \cite{Chenzow1965} and \textsc{S. Amari} \cite{Amari1987} eventually encouraged the notatio...
1,116,691,501,302
arxiv
\section{Introduction} \label{sec_intro} Coherent spin transport across a device is a central goal of spintronics.\cite{Stotz2005,Awschalom2007} In this context the enhancement of the spin lifetime is a critical issue, and recent experiments have demonstrated the effectiveness of using Surface Acoustic Waves (SAWs) fo...
1,116,691,501,303
arxiv
\section{Significance Statement} In 2012, Menzel \textit{et al.}~~reported on the results of a fundamental experiment raising questions regarding the simultaneous observation of wave-like and particle-like properties in a given quantum system. While the general applicability of the duality principle to entangled subsy...
1,116,691,501,304
arxiv
\section{Introduction} VANETs are envisioned to enable a range of applications, spanning from enhanced transportation safety and efficiency to mobile infotainment, while security and privacy enhancing technologies have been broadly accepted as prerequisites for the deployment of such systems. A number of on-goi...
1,116,691,501,305
arxiv
\section{Introduction} In many unstructured mesh applications, for example those approximating the solution of partial differential equations (PDEs) using the finite volume or the finite element method, sequences of numerical operators accessing common fields need to be evaluated. Usually, these operators are implement...
1,116,691,501,306
arxiv
\section{INTRODUCTION} \label{sec:intro} The MOSE project (MOdeling ESO Sites) aims at proving the feasibility of the forecast of the optical turbulence OT ($\mbox{$C_N^2 \ $}$ profiles) and all the main integrated astro-climatic parameters derived from the $\mbox{$C_N^2 \ $}$ i.e. the seeing ($\varepsilon$), the iso...
1,116,691,501,307
arxiv
\section{Introduction} The effects of geometrical frustration on the magnetic properties of materials are rich and often unexpected~\cite{books}. One of the most spectacular effects is the absence of a long-range order (LRO) down to the lowest temperatures despite the presence of relatively strong magnetic interactions...
1,116,691,501,308
arxiv
\section{Introduction} \label{S:intro} Local smoothing for the linear Schr\"odinger equation has a long and rich history. First observed by Kato \cite{Kato} for the KdV equation and later studied by Constantin-Saut \cite{ConSau}, Sj\"olin \cite{Sjolin}, Vega \cite{Vega}, and Kato-Yajima \cite{KaYa-smooth} for the Sch...
1,116,691,501,309
arxiv
\section{Introduction} \label{intro} One of the most important practical questions which arises when we are designing or using an information transmission or processing system is: How much information can this system transmit or process in a given time? Information theory, developed by Claude E. Shannon during Wor...
1,116,691,501,310
arxiv
\section{Introduction} \label{sec1} The recent economic crisis once again drew attention to the insufficient ability of modern economic theory to properly account for uncertainty and imperfect knowledge: neglect of these issues is argued to be one of the reasons for the failure of the economic profession in the dif...
1,116,691,501,311
arxiv
\section{Introduction} \label{sec:intro} Propagation of information has been widely studied in various domains. Despite different applications \cite{guille2013information}, all of the diffusion models have three main components in common: {\em Nodes}, i.e., the set of separate agents; {\em Infection}, i.e., the change...
1,116,691,501,312
arxiv
\section{Introduction} In power systems terminology, a \emph{preventively} secure system state refers to a situation in which the power system remains secure after any credible contingency (typically defined as an N-1 situation) without any additional control action. A \emph{correctively} secure state refers to a situa...
1,116,691,501,313
arxiv
\section{Alternative Multi-Sample Strategies} In this section, we review two alternative learning rules that tackle the ML problem \eqref{eq:ml} by leveraging $K$ independent samples from the hidden neurons. We also present a performance comparison on the MNIST-DVS classification task studied in Sec.~\ref{sec:experim...
1,116,691,501,314
arxiv
\section{Introduction} Eigenvalues of large random matrices have been attracting much interest in theoretical physics since the 1950's \cite{Port,Mehta,Haake_book,Bohigas,AlSi,Bee,Guhr}. Until recently only the real eigenvalues were seen as physically relevant, hence most of the studies ignored matrices with complex ...