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541,165,883,356
arxiv
\section{Introduction} \label{sec:intro} \input{sections/intro} \section{Background} \label{sec:background} \input{sections/background} \section{Extended \& Binary RCPI} \label{sec:contributions} \input{sections/contributions} \input{sections/complexity} \section{Experiments} \label{sec:experiments} \input{sections/...
541,165,883,357
arxiv
\section{Introduction} \label{u1} Directed paths in random media (DPRM) \cite{KardarRev} are simple realizations of glassy systems \cite{glass1,glass2}. Some examples are pinned flux lines (FL) in high-$T_c$ superconductors, and domain walls in random field and random bond Ising models. In thermal equilibrium, a mag...
541,165,883,358
arxiv
\section{Introduction} Stochastic filtering is the estimation of the current state of a stochastic process based on a history of noisy measurements. The optimal filter uses Bayes formula with the true measurement probabilities to continuously update the likelihood of states. If the stochastic dynamics of the underly...
541,165,883,359
arxiv
\section{Introduction} \label{intro} \indent Deep neural networks(DNN) are being used very heavily in the fields such as computer vision\cite{VGG}, speech processing\cite{speech} and text processing\cite{sentiment}. Each and every state-of-the-art technique in these fields make use of deep learning in one way or the ...
541,165,883,360
arxiv
\section*{Introduction} Let $k$ be an algebraically closed field and $A$ be a finite-dimensional $k$-algebra. The first Hochschild cohomology group $\cL:=\HH^1(A,A)$ can be identified with the space of outer derivations of $A$, and the commutator of derivations endow this space with a Lie algebra structure. The Lie...
541,165,883,361
arxiv
\section{Introduction} Quantum key distribution (QKD) enables two spatially-separated parties to share a secure random key, which is the first practical application of quantum physics. In QKD systems, the secret key is established through exchanging quantum states, even in the presence of an eavesdropper, with the help...
541,165,883,362
arxiv
\section{Introduction} \label{sec:intro} Computational models of language understanding must recognize narrative structure because many types of natural language texts are narratively structured, e.g. news, reviews, film scripts, conversations, and personal blogs \cite{Polanyi89,Jurafskyetal14,bell2005news,Gordonetal...
541,165,883,363
arxiv
\section{\uppercase{Introduction}} \label{chap:introduction} In highly globalized and complex \acp{sc}, performance analysis is essential as the change in behavior due to disruptive events does not only affect one organization but a highly connected network \cite{Singh2019}. The importance of systematic Disruption Man...
541,165,883,364
arxiv
\section{Introduction} The TEXONO Collaboration~\cite{huni} is pursuing experimental investigation of neutrino physics~\cite{hbli_prl,texononue,jwchen,hjphys}, as well as weakly interacting massive particle (WIMP) dark matter~\cite{stlin09}, axions~\cite{chang07} and other physics searches beyond-standard-model (BSM)~...
541,165,883,365
arxiv
\section{Introduction} There is a great deal of current interest in quasi one-dimensional quantum spin models, such as spin ladders, spin chains with dimerization and (or) frustration, and various generalizations of the above. The studies of these models have been mostly triggered by the experimental discoveries...
541,165,883,366
arxiv
\section*{\abstractname}% \else \small \list{}{% \settowidth{\labelwidth}{\textbf{\abstractname:}} \setlength{\leftmargin}{50pt} \setlength{\rightmargin}{50pt} \setlength{\itemindent}{\labelwidth} \addtolength{\itemindent}{\labelsep} } ...
541,165,883,367
arxiv
541,165,883,368
arxiv
\section{Automatic analyticity} A \dfn{fiefdom} is a set of domains, denoted by $\textarc{f}$, in $\R^d$ satisfying: \begin{description} \item[Translation invariance] For all $G \in \textarc{f}$ and $r \in \R^d$, $G + r \in \textarc{f}$. \item[Scale invariance] If $t > 0$ and $G \in \textarc{f}$, $tG \in \textarc{f}$....
541,165,883,369
arxiv
\section{Introduction} \label{s:Introduction} A band-limited signal is a function which belongs to the space ${B_\omega}$ of functions in $\Ld$ whose Fourier transforms have support in $[-\omega,\omega]$. Functions in this space can be represented by their Whittaker-Kotelnikov-Shannon series, which is th...
541,165,883,370
arxiv
\section{Introduction} TDA (topological data analysis) is a relatively new area of research related to importing classical ideas from topology into the realm of data analysis. Under the umbrella term TDA, there falls, in particular, the notion of \emph{persistent homology} PH, which can be described in a nutshell, as t...
541,165,883,371
arxiv
\section{Introduction} Active Galactic Nuclei (AGN) jets emit synchrotron radiation that can be detected at all radio frequencies. This radiation is often highly linearly polarized, which provides important information on the degree of order and orientation of the magnetic field in these jets. The type of AGN we will ...
541,165,883,372
arxiv
\section{Introduction} In 1966 Gurari\v{i} constructed a separable (real) Banach space $\mathbb{G}$ of \emph{almost universal disposition} for finite-dimensional spaces (called later the \emph{Gurari\v{i} space}), see \cite{gur}, which means the following condition: \begin{enumerate} \item[(G)] \emph{For every...
541,165,883,373
arxiv
\section{Introduction} In recent years, advances in artificial intelligence and computer vision started revolutionizing how athletic performance and results are being analyzed and understood, which includes the use of fine-grained player tracking data during sporting events. In our research we are developing new method...
541,165,883,374
arxiv
\section{Introduction} Supersymmetry is not only an important property for constructing quantum field theories, but is also a useful guideline for describing the dynamics of spin degrees of freedom in the ``classical'' limit \cite{Casalbuoni,Galvao}, and for predicting the form of the interaction between the spin and ...
541,165,883,375
arxiv
\section{Introduction} In the study of dark matter, in its role in the formation of structures in the Universe, and in its direct and indirect detection, the mass and luminosity distribution of the Milky Way Galaxy plays a central role. Such considerations perhaps began with the contributions of \citet{Oort32} to the u...
541,165,883,376
arxiv
\section*{Abstract} {\bf Searches for invisible Higgs decays in weak boson fusion are a well-known laboratory for jets and QCD studies. We present a series of results on tagging jets and central jet activity. First, precision analyses of the central jet activity require full control of single top production in...
541,165,883,377
arxiv
\section{Introduction} For a project on ``information extraction", who would be able to provide guidelines for problem solving? For a new funding proposal on ``ontology alignment", who would be able to review and make good assessment? For the upcoming PKDD conference on ``data mining", who should be invited to give a ...
541,165,883,378
arxiv
\section{Introduction} Coronal mass ejections (CMEs) from the Sun are important drivers of space weather \citep{schwenn2006}. They are believed fundamental to the long-term evolution of the global solar magnetic field, both by shedding magnetic flux and helicity \citep{low1996,bieber1995,lynch2005}, and by their role...
541,165,883,379
arxiv
\section{Introduction} The classical Jarzynski equality (JE)~\cite{JarzynskiNonequilibriumEqualityFree1997,JarzynskiEquilibriumfreeenergydifferences1997} connects the work $W$ performed in non-equilibrium realizations of a driving protocol with the equilibrium free energy difference $\Delta F$ by the relation \begin{a...
541,165,883,380
arxiv
\section{Introduction} The damped wave equation \begin{align*} \partial_{t}^2 u - \Delta u + \partial_t u = 0 \end{align*} is known as a model describing the wave propagation with friction, and studied for long years. In particular, for the Cauchy problem \begin{align}% \label{ldw} \left\{ \begin{array}{ll} \partia...
541,165,883,381
arxiv
\section{Introduction} Protostellar disks require sufficiently strong turbulence to enhance the efficiency of angular momentum transport. The origin of turbulence is often attributed to hydrodynamic and hydromagnetic instabilities that can arise in differentially-rotating, stratified gaseous disks. One of the can...
541,165,883,382
arxiv
\section{Introduction} Groups and clusters of galaxies have been traditionally divided into two main categories: cool-core systems, which have smooth X-ray morphologies and cooler gas in their centers; and non-cool-core systems, which have complex X-ray morphologies and no cool gas. Early X-ray observations showed tha...
541,165,883,383
arxiv
\section{Introduction} \paragraph{} There are obvious connections between 2-category theory and homotopy theory. It is possible, for instance, to construct a 2-category of spaces, paths parametrized by intervals of variable length, and suitably defined equivalence classes of homotopies between them. On the other hand,...
541,165,883,384
arxiv
\section{Introduction} \input{sections/intro.tex} \input{sections/related.tex} \input{sections/entropy.tex} \input{sections/exp.tex} \input{sections/discussions.tex} \input{sections/conclusions.tex} \bibliographystyle{abbrv} \section{Conclusions and Future Work} This paper studied the perception of complexity...
541,165,883,385
arxiv
\section{Message-Passing Algorithm for Approximated Structured Prediction} \label{sec:alg} \vspace{-0.2cm} In the following we describe a block coordinate descent algorithm for the approximated structured prediction program of Theorem \ref{theorem:approx}. Coordinate descent methods are appealing as they optimize a s...
541,165,883,386
arxiv
\section{Introduction} About one third of low-redshift steep-spectrum radio-loud quasars are surrounded by massive ionized nebulae that often extend to several tens of kpc from the nucleus. These extended emission-line regions (EELRs) are important because they may reflect a key stage in a quasar's life, when it vio...
541,165,883,387
arxiv
\section{\label{sec:level1}First-level heading} \section{Introduction} A lot of our intuition about physics is built around the harmonic oscillator, because by and large, the only equations we are able to solve are linear, and the only integrals we are able to do are Gaussian. However it has become increasingly clea...
541,165,883,388
arxiv
\section{Introduction} In task-oriented dialogue systems, the role of the natural language generation (NLG) component is to convert a system's intentions, called dialogue acts (DAs), into natural language utterances and to convey DAs accurately to users \citep{10.1145/505282.505285, gao2019neural}. In recent years, dat...
541,165,883,389
arxiv
\section{INTRODUCTION \label{intro}} \section{Introduction} At ultracold temperatures, the usual propagation of thermodynamic sound waves in a gas is suppressed due to the rarity of collisions. Nevertheless, in a Fermi gas, collective excitations known as zero sound can still propagate even at zero temperature \cite...
541,165,883,390
arxiv
\section{System Overview}\label{sec:overview} Our system consists of four modules as shown in Figure~\ref{fig:pipeline}. We reconstruct a personalized 3D head model from a video sequence captured off-line in the first module (Section~\ref{sec:headmodel_reconstruction}). The 2D facial landmarks and 3D sparse point clou...
541,165,883,391
arxiv
\section{Introduction} The classical Siegel--Weil formula (\cite{Siegel1951, Weil1965}) relates the special values of Siegel--Eisenstein series on the symplectic group (resp. the unitary group) to theta functions, which are generating series of representation numbers of quadratic (resp. Hermitian) forms over number ...
541,165,883,392
arxiv
\section{Introduction} The order dimension (also known as the Dushnik-Miller dimension) of a poset $\le$ has been introduced by Dushnik and Miller \cite{DM}. It is defined as the minimum number $d$ of linear extensions $\le_1, \ldots, \le_d$ of $\le$ such that $\le$ is the intersection of these extensions \textit{i.e...
541,165,883,393
arxiv
\section{Introduction} The precision achieved in recent measurements of electroweak observables \cite{Sch94} has surpassed by far earlier expectations. The predictions for these quantities and the relations between them, which are based on the Standard Model (SM), are strongly affected by radiative corrections. Partic...
541,165,883,394
arxiv
\section{Introduction} \citet{stromgren63} suggested the use of stellar ages and velocities to estimate properties of the spiral potential in our Galaxy, assuming that stars are formed preferentially in spiral arms. Based on this assumption, birthplaces of B-stars in the solar neighborhood with ages in the range of 10...
541,165,883,395
arxiv
\subsection{Related Work} \label{sec:related} Resource allocation, utility maximization and opportunistic scheduling for downlink wireless systems have been intensely studied in the last two decades, and have had a major impact on cellular standards. We refer to \cite{sriyin14,GeoNeeTas06} for a survey of the key r...
541,165,883,396
arxiv
\section{Introduction} \label{sec:Intro} Fifty years ago, Bell's seminal work~\cite{Bell64} dramatically changed our understanding of nature. He presented a simple inequality involving measurements on two systems which is satisfied in any classical theory, that is, a theory in which the answer to any measurement is ...
541,165,883,397
arxiv
\section{Our Approach} \label{sec:algo} \begin{figure} \def\funnames#1{{\fontsize{7pt}{9pt}\selectfont \textsf{#1}}} \begin{minipage}[t]{0.485\textwidth} \ \\ \ \\ \ \\ \ \\ \ \\ \ \\ \begin{algorithm}[H]\footnotesize \begin{algorithmic}[1] \REQUIRE{A neural network $F$ and an input vector $\av{v}$ such that ...
541,165,883,398
arxiv
\section{Introduction} \label{sec:intro} During the last years, different search strategies have been employed in the quest for dark matter (DM) detection \cite{GarrettDuda09,Roszkowski+17}. Among these, we find direct detection experiments, designed to observe the elastic scattering of DM-nuclei interactions, DM prod...
541,165,883,399
arxiv
\section{Introduction} Thermodynamics of systems so small that typical changes of their energies are of the order of $k_B T$ is concerned with {\em distributions} of thermodynamic quantities rather than with their averages \cite{Udorev,Jarrev,Esprev}. These distributions fulfill a number of exact and general relations ...
541,165,883,400
arxiv
\section*{Funding} Campus France; Région Pays de la Loire (NNN-Telecom, Ultrasfast Acoustics in Hybrid Magnetic Nanostructures and Echopico projects). \bibliographystyle{ieeetr}
541,165,883,401
arxiv
\chapter{Reaction kinetics in the few-encounter limit} \author[D. Hartich and A. Godec]{David Hartich and Alja\v{z} Godec} \index[aindx]{Hartich, D.} \index[aindx]{Godec, A.} \address{Mathematical Biophysics Group, Max-Planck-Institute for Biophysical Chemistry, 37077 Göttingen, Germany\\ david.hartich@mpibpc.mpg.de...
541,165,883,402
arxiv
\section{Introduction} Molecular clouds (MCs) observed using low-density tracers display velocity dispersions much larger than the thermal value \citep[e.g.,][]{Zuckerman+Evans:1974,Larson_1981-turbulence_MC,Myers_1983-subsonic_turbulence}. These supersonic motions are usually attributed to ``turbulence," and a varie...
541,165,883,403
arxiv
\section{Introduction} \IEEEPARstart{T}{he} development and growth which has been achieved towards autonomous driving the past few years, will contribute to the reduction of road crashes, improve traffic congestion and fuel consumption and enhance the overall performance of transportation sector. Scientific community a...
541,165,883,404
arxiv
\section{Introduction} \subsection{Background} In this paper, we consider unlabeled graphs as in \cite{We01}, that is, two graphs are considered the same if there is an isomorphism between them. For any graph $G$, the number of vertices in a largest clique is denoted by $\omega(G)$ and the number of vertices in a lar...
541,165,883,405
arxiv
\section{Introduction} A core-collapse supernova (CC~SN) occurs when a massive star ($\gtrsim 8$\,M$_{\odot}$) ends its life in a terminal explosion that destroys the star completely and leaves a neutron star or a stellar-mass black hole as a compact remnant (e.g., Woosley \& Janka 2005). Classification of such super...
541,165,883,406
arxiv
\section{Introduction} Recently, Ho\v{r}ava proposed a renormalizable gravity theory in four dimensions which reduces to Einstein gravity with a non-vanishing cosmological constant in IR but with improved UV behaviors \cite{Horava:2008ih,Horava:2009uw}. The latter theory admits a Lifshitz scale-invariance in time and ...
541,165,883,407
arxiv
\section{Introduction} Usually the adsorption of polymers onto surfaces is discussed in terms of more or less diffuse adsorption layers, composed of trains, loops and dangling ends. There is enough corroborating evidence that in many cases this simplified picture correctly captures the salient features of the polymer ...
541,165,883,408
arxiv
\section{I\lowercase{ntroduction}} The exact solutions of the Schr\"{o}dinger wave equation are very important since they contain all the necessary information regarding the quantum system under consideration. Generally, we are always eager to search for a quantum system which is described by a confining potential. Th...
541,165,883,409
arxiv
\section{Introduction}\label{sec:intro} Internet of Things (IoT) has become synonymous with everyday computing. It provides the ability for interconnected devices to exchange information over a wireless medium without human intervention~\cite{IoTSurvey}. IoT systems and platforms are already utilised in home environmen...
541,165,883,410
arxiv
\section{Introduction} The idea of describing space (or spacetime) as a product of a dynamical process involving some discretized elements resonates with many approaches to studying the unification of quantum mechanics with gravity \cite{Henson:2006kf,Oriti:2007qd,Baez:1999sr, Jourjine:1984jz, Rideout:1999ub, Requard...
541,165,883,411
arxiv
\section{Introduction} Whittaker models for generic representations of a reductive algebraic group over a local or global field are a very important tool in representation theory. For non-generic representations of a classical group over an archimedean or non-archimedean local field, Bessel models can sometimes provide...
541,165,883,412
arxiv
\section{Introduction} W pair production via quark-anti-quark-annihilation is a very important process at the Large Hadron Collider (LHC) for two main reasons. Firstly, it can serve as a signal process in the search for new Physics since it can be used to measure the vector boson trilinear couplings as predicted by t...
541,165,883,413
arxiv
\section{Introduction} Replica symmetry breaking is known to be a non-trivial phenomenon in systems with quenched disorder. This phenomenon in mean field spin glass models has been studied deeply, since Talagrand proved the Parisi conjecture \cite{Pr} for the Sherrington-Kirkpatrick (SK) model \cite{SK} in a mathem...
541,165,883,414
arxiv
\section{Introduction} The current cosmological model used to describe the evolution of our universe suggests that we live in a spatially flat $\Lambda$CDM cosmology. In this model, small initial fluctuations in the matter distribution collapsed through gravitational interactions and formed highly non-linear structure...
541,165,883,415
arxiv
\section{Introduction} This paper is a continuation of the investigations of~\cite{Garner2023CartesianI} into \emph{cartesian closed varieties}---that is, varieties of single-sorted, possibly infinitary algebras which, seen as categories, are cartesian closed. One of the main results of \emph{op.~cit.}~was that the ...
541,165,883,416
arxiv
\subsection{Gauss-Newton (Levenberg-Marquadt)} \subsection{Generalized CP decomposition} All the algorithms for generalized CP completion introduced in Section~\ref{sec:cmpl} are based on elementwise derivatives of the generalized objective function~\cite{hong2020generalized} with respect ...
541,165,883,417
arxiv
\section{Example Appendix} \end{document} \section{Introduction} Commonsense reasoning is a fundamental problem in artificial intelligence. Recently in the NLP field, much attention has been paid to commonsense reasoning in the following two aspects. First, more commonsense knowledge graphs (CKGs) \cite{sap2019ato...
541,165,883,418
arxiv
\section{Introduction} \label{s:introduction} The Standard Model~(SM) comes with a simple Higgs potential: due to gauge invariance and renormalizability, there is only one Higgs doublet which appears in the potential in one bilinear and one quartic term. In particular, finding the global minimum of the Higgs poten...
541,165,883,419
arxiv
\section{INTRODUCTION} \subsection{AGN and star-formation connection} Star formation and Active Galactic Nucleus (AGN) activity play important roles in the formation and evolution of galaxies. Over the past two decades a significant number amount of evidence has demonstrated the close connection between AGNs and thei...
541,165,883,420
arxiv
\section{Introduction and the main result} \label{sec:intro} In this article, we consider a semi-discrete model for the evolution of a driven interface subject to line tension in a random, heterogeneous, quenched environment. We prove that if the driving force is large enough then such an interface propagates with a p...
541,165,883,421
arxiv
\section{Introduction} \label{sec:intro} Enormous amount of data is being continuously generated by web users on social platforms at an unprecedented rate. For example, around 650 million tweets are posted by 330 million users on Twitter per day. Such user generated data can be modeled as continuous social streams, wh...
541,165,883,422
arxiv
\section{Introduction} \label{intro} Spectroscopy is a common technique used to distinguish materials. Perception of colors by mean of human eyes is a natural form of spectroscopy. Three types of cones (retinal cells), sensitive to three different regions of light, perform a trichromatic color vision. The instrumen...
541,165,883,423
arxiv
\section{Introduction}\label{introduction} When the last ballots have been cast and the last polling station closes, the fruits of a stressful afternoon are brought to bear: the first election forecast is being broadcast over the air. Much of the work behind it, however, actually took place long before that, starting ...
541,165,883,424
arxiv
\section{Introduction} The \textit{edit distance} is a ubiquitous distance measure on strings. It finds applications in various fields including computational biology, pattern recognition, text processing, information retrieval, and many more. The edit distance between strings $X$ and $Y$, denoted by $\mathsf{ED}(...
541,165,883,425
arxiv
\section{Introduction} Since its initial specification, segment routing\xspace (SR) has attracted attention from big vendors in the networking industry such as Cisco \cite{cisco-depl}, Juniper \cite{juniper-depl}, Huawei \cite{huawei-depl} \cite{srv6-deployments}, Nokia \cite{nokia-depl}, and Arrcus \cite{arrcus-de...
541,165,883,426
arxiv
\section{Introduction} The most crucial information to unravel the mechanism of pairing is the structure of the superconducting (SC) gap function, a measure of the amplitude and the phase of electron pairs. Although the SC-gap function of conventional phonon-mediated (attractive pairing interaction) superconductors has...
541,165,883,427
arxiv
\section{Introduction}\label{s:intro} Let us recall some basic concepts concerning natural exponential families (NEFs for short). For a positive measure $\mu$ on $\mathbb{R}^n$ we define its Laplace transform by $$L_{\mu}(\theta)=\int_{\mathbb{R}^n}\exp\left<\theta,x\right>\mu({dx}).$$ Let $\Theta(\mu)=\textrm{Int}...
541,165,883,428
arxiv
\section{Introduction} \setcounter{equation}{0} T-duality is a fundamental feature of string theory \cite{S,B,RV,GPR,AABL}. As a consequence of T-duality there is no physical difference between string theory compactified on a circle of radius $R$ and circle of radius $1/R$. This conclusion can be generalized to tori ...
541,165,883,429
arxiv
\section{Introduction} We consider the following generalized parabolic-elliptic Keller-Segel equation on torus $\mathbb{T}^d$ with fractional dissipation and strong singular kernel in the presence of an incompressible flow \begin{equation}\label{eq:1.1} \begin{cases} \partial_t\rho+Au\cdot \nabla \rho+(-\Delta)^{...
541,165,883,430
arxiv
\section{Entity Spread and Active Entities} \begin{table}[t] \centering{ \small{ \caption{Max.\ Total Entity Count vs.\ Max.\ Active Entity Count.} \label{sec:tab_active_entities} \begin{tabular}{lcc} \toprule & LitBank & OntoNotes \\\midrule Max.\ Total Entity Count & 199 & 94 \\...
541,165,883,431
arxiv
\section{Introduction} The no-hair theorem \cite{noh} tells us that a neutral rotating black hole in asymptotically flat and matter-free spacetime is described completely by the Kerr metric with only two parameters, the mass $M$ and the rotation parameter $a$, which means that all astrophysical black holes in o...
541,165,883,432
arxiv
\section{Introduction} \label{sec:intro} Nowadays, simulation-based design has naturally evolved into simulation-based design optimization thanks to new computational infrastructures and new mathematical methods. In this work we present an innovative pipeline that combines geometrical parametrization, different model ...
541,165,883,433
arxiv
\section{Introduction} Experimental observation of the global hyperon polarization in heavy-ion collisions by the STAR Collaboration at the Relativistic Heavy Ion Collider (RHIC) \cite{STAR:2017ckg,Adam:2018ivw,Niida:2018hfw} gave us the evidence for the creation of the most vortical fluid ever observed. Theoretic...
541,165,883,434
arxiv
\section{Introduction} We define smooth codes in a very similar way as defined by Katz and Trevisan~\cite{luca:ldc} as follows: \begin{definition} \label{def:smooth} Let $c > 1, 1/2 > \epsilon \geq 0$ and $q$ be an integer. We call a code ${\bf{C}}: \{0,1\}^n \mapsto \{0,1\}^m$ to be a $(q, c, \epsilon)$ smooth code ...
541,165,883,435
arxiv
\section{Introduction} The strong emission lines of elements such as hydrogen, oxygen, and nitrogen observed in the rest-optical ($3600-7000$\AA) spectra of galaxies come primarily from the \ion{H}{2} regions surrounding massive O and B stars. Thus, attempts to characterize this emission ultimately reveal information ...
541,165,883,436
arxiv
\section{Introduction} Large-scale pre-trained language models~(PLMs), such as BERT~\citep{devlin2019bert}, RoBERTa~\citep{Liu2019RoBERTa} and T5~\citep{raffel20t5} have recently achieved promising results after fine-tuning on various natural language processing~(NLP) tasks. Many fine-tuned PLMs are generously release...
541,165,883,437
arxiv
\section{Introduction} The advancement in information technology (IT) has facilitated the emergence of complex emergency management systems (EMS) \cite{gelenbe2012emergency} based on in-situ wireless sensor networks (WSN). However, in most of the applications, routing algorithms use a single criterion to choose paths ...
541,165,883,438
arxiv
\section{Introduction} \begin{figure} \centering \begin{closetabcols} \begin{tabular}{cc} Input signal & Maximum likelihood solution \\ \includegraphics[width=40mm]{subpix/toy2d_input_signal_map.png} & \includegraphics[width=40mm]{subpix/toy2d_ml_nn_signal_map.png} \\ \end{tabular} \end{closetabcols} \ca...
541,165,883,439
arxiv
\section{Introduction} The matter created in relativistic heavy-ion collisions manifests a strongly collective hydrodynamic behaviour \cite{Heinz:2005ja} which is particularly evident in studies of the so-called elliptic flow \cite{Retiere:2004wa}. A~hydrodynamic description requires, strictly speaking, a local the...
541,165,883,440
arxiv
\section{Introduction} The phenomenon of extended main sequence turn-offs (eMSTOs), where the MSTO in colour-magnitude diagrams is broader than predicted by a single isochrone (including the effects of binarity and photometric errors), is a common feature of intermediate age ($1-2$~Gyr; e.g. \citealt{MackeyBrobyNielse...
541,165,883,441
arxiv
\section{Introduction} The pioneering work by Poelsema, Comsa and coworkers\cite{Comsa:d1,Comsa:d2,Comsa:d3,Comsa:d4,Comsa:d5} on atom-surface scattering in the last decade, has led to the introduction and application of the concept of the cross section of a defect on a surface in studies of questions related to surfac...
541,165,883,442
arxiv
\section{Introduction} In recent years the computation of many quantities relevant to Standard Model phenomenology in Lattice QCD has reached a precision of $\lesssim1\%$ \cite{FLAG}. However, such calculations are usually done in the isospin symmetric limit $m_u=m_d$ and without including QED effects, i.e.\ consi...
541,165,883,443
arxiv
\section{Introduction} Floods are one of the major natural disasters, exacerbated by climate change, affecting between 85 million to 250 million people annually and causing between $\$ 32$ to $\$36$ billion in economic damages~\cite{guha2015dat,emerton2016continental}. Some of these harms can be alleviated by providin...
541,165,883,444
arxiv
\section{Introduction} \label{section_introduction} After the Cosmic Ray (CR) electron/positron excess above $10\GeV$ was confirmed by PAMELA and AMS-02 with high precision \cite{adriani2009anomalous,aguilar2014electron}, many studies on its origin have been proposed in the literature. Two kinds of interpretations, in...
541,165,883,445
arxiv
\section{Introduction}\label{s1} \pgfdeclarelayer{background layer} \pgfdeclarelayer{foreground layer} \pgfsetlayers{background layer,main,foreground layer} There have been many remarkable implications of the fact that the Green-Schwarz superstring world-sheet theory defined on a $\text{AdS}_5\times S^5$ background...
541,165,883,446
arxiv
\section{Introduction} \vspace{-0.2cm} With the advent of electronic health records, time-series (TS) modeling has become an invaluable tool for clinical decision support (\cite{healthcare_mimic_mortality_prediction, healthcare_mortality_prediction, deeplearning_healthcare}). However, one pervasive problem common to ma...
541,165,883,447
arxiv
\section{Introduction} In the present paper we are interested in the discretization by the cell-centered finite volume method of the following convection-diffusion equation with Neumann boundary conditions and $L^1$ data: \begin{equation}\label{Pb} \begin{aligned}{} & & -\operatorname{div}(\lambda(u)\nabla u -\v...
541,165,883,448
arxiv
\section{Introduction} \label{sec:introduction} Scripts, consisting of structured sequences of events, are a kind of knowledge that describes everyday scenarios~\cite{abelson1977scripts}. A typical script is the \textit{restaurant script}, which describes the scenario of a person going to a restaurant. In this sc...
541,165,883,449
arxiv
\section{Introduction} The study of the dynamics of coupled nonlinear dynamical systems are the subject of a growing interest in various communities like in theoretical physic, in information technology or in neuronal biology. The literature on this topic shows different kinds of synchronization (see~\cite{pikovs...
541,165,883,450
arxiv
\section{Introduction and main results} \noindent Consider the Chern-Simons-Dirac system in two space dimensions : \begin{align} \label{1} i \partial_t \psi + i \alpha^j \partial_j \psi & = m \beta \psi - \alpha^{\mu} A_{\mu} \psi\\ \label{2} \partial_{\mu} A_{\nu} - \partial_{\nu} A_{\mu} & = -2 \epsilon_{\mu \nu \lam...
541,165,883,451
arxiv
\section{Introduction} Decoupling is a recent development in Fourier analysis, which has applications in harmonic analysis, PDE, and number theory. To put it in context, let's start by recalling some basic ideas of Fourier analysis. In Fourier analysis, we represent a function as a Fourier series or Fourier integral...
541,165,883,452
arxiv
\section{Introduction} A well-known theorem of Bernstein says that entire minimal graphs in $\mathbb{R}^3$ are hyperplanes. Building on work of Fleming \cite{F} and De Giorgi \cite{DeG}, Simons \cite{S} extended this result to minimal graphs in $\mathbb{R}^{n+1}$ for $n \leq 7$. In contrast, there are nonlinear entire ...
541,165,883,453
arxiv
\section{Introduction} \label{sec:introduction} The major satellites of Jupiter and Saturn exhibit almost perfectly coplanar prograde circular orbits, with remarkably low eccentricities and inclinations. This lends itself to the suggestion that they formed in discs of gas and dust orbiting around their parent planets ...
541,165,883,454
arxiv
\section{Introduction} \label{section:introduction} \IEEEPARstart{L}{ong} short term (LSTM) memories are widely analyzed due to their high demand in industry to tackle huge volume of unlabeled data, and data analytic technologies greatly rely on them. Mere object detection and manual tagging failed to provide immense d...
541,165,883,455
arxiv
\section{Introduction} The inhomogeneous Lorentz group defines the relation between inertial states.\ \ Clocks locally at rest to a state are related to the clocks of other inertial observers through the Minkowski proper time line element.\ \ Quantum states are rays in a Hilbert space and therefore inertial states are...