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1,314,259,995,163
arxiv
\section*{Acknowledgment} \label{section:ack} \vspace{-0.1cm} Mazuera-Rozo and Bavota gratefully acknowledge the financial support of the Swiss National Science Foundation for the CCQR project (SNF Project No. 175513). Escobar-Vel\'asquez and Linares-V\'asquez were partially funded by a Google Latin America Research Aw...
1,314,259,995,164
arxiv
\section{Introduction} \label{introduction} Precision measurements in the top quark sector, and searches for the Higgs boson and physics beyond the Standard Model, critically depend on the good identification (``tagging") of jets produced by b quarks. Tagging techniques exploit specific properties of B-hadrons to diff...
1,314,259,995,165
arxiv
\section{Introduction} The notion of vertex weighted graph, i.e. a graph whose vertices are assigned a non negative integer (the weight), arises naturally in algebraic geometry, as every Deligne-Mumford stable curve has an associated weighted ``dual" graph, and the moduli space of stable curves, $\ov{M_g}$, has a...
1,314,259,995,166
arxiv
\section{Introduction} The recent observation of two pulsars with approximately two solar masses \cite{Demorest:2010bx,Antoniadis:2013pzd} presents a severe challenge to the theoretical description of cold high-density matter in $\beta$-equilibrium. The equation of state (EoS) has to be sufficiently stiff in ord...
1,314,259,995,167
arxiv
\chapter*{Introduction} \addcontentsline{toc}{chapter}{Introduction} \newtheorem{thmintro}{Theorem} \newtheorem{corintro}[thmintro]{Corollary} Let $\mc R = (X,R_0,Y,R_0^\vee, F_0)$ be a based root datum with finite Weyl group $W_0$ and (extended) affine Weyl group $W^e = W_0 \ltimes X$. For every parameter function...
1,314,259,995,168
arxiv
\section{Introduction} Phase-field models have recently enjoyed a rapidly growing popularity as a compact and elegant simulation tool for moving boundary problems in such diverse fields as solidification \cite{Boettinger02,Steinbach09}, fluid dynamics \cite{Anderson98} or solid-state transformations \cite{Chen02,Wa...
1,314,259,995,169
arxiv
\section{Introduction} Active galactic nuclei (AGN) emit over the entire electromagnetic spectrum and are powered by accretion onto a supermassive black hole \citep{1984REES}. The central engine emits UV photons which interact with energetic electrons in the so-called corona \citep{1994Nandra} producing the X-ray emi...
1,314,259,995,170
arxiv
\section{Introduction} In the nonrelativistic constituent quark model for mesons and baryons the quarks are bound by confining potentials. Despite their limitations and concerns about their validity, these potential models describe the properties of the various mesons and baryons surprisingly well (see, for example,...
1,314,259,995,171
arxiv
\subsubsection*{\bibname}} \usepackage{xargs} \usepackage{papercommands} \newcommand{Sine fitting }{Sine fitting } \renewcommandx{\mod}[2][2=\frac{N}{2}]{#1 \ \ensuremath{\mathrm{mod}\ #2}} \newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor} \usepackage{url} \usepackage[linesnumbered,lined,ruled,noend]{algorithm2...
1,314,259,995,172
arxiv
\section{Introduction} \label{sec-intro} The notion of the \emph{dimension} of a poset $P = (X, \le)$ was introduced by Dushnik and Miller~\cite{dushnik:partially-order:}, who defined it as the least $d$ so that $P$ embeds into a product of $d$ linear orders. In particular, the dimension of a countable poset $P$ is th...
1,314,259,995,173
arxiv
\section{Introduction} Question answering (QA) has been a blooming research field for the last decade. Selection-based QA implies a family of tasks that find answer contexts from large data given questions in natural language. Three tasks have been proposed for selection-based QA. Given a document, \textit{answer extr...
1,314,259,995,174
arxiv
\section{Introduction} \label{sec:Intro} \citet{Staley1970} pointed out that the adiabatic lapse rate for the lower atmosphere of Venus cannot be calculated using the ideal gas equation ($g/c_p$) due to the high temperature and pressure conditions and the presence of small amount of nitrogen. Considering an arbitrary ...
1,314,259,995,175
arxiv
\section{Introduction} \label{sec:introduction} The HORUS spectrometer (\textbf{H}igh efficiency \textbf{O}bservatory for $\gamma$-\textbf{R}ay \textbf{U}nique \textbf{S}pectroscopy) \cite{Linn05b} is located at the 10 MV Tandem ion accelerator at the Institute for Nuclear Physics in Cologne. It consists of 14 high-pu...
1,314,259,995,176
arxiv
\section{More Details of Dataset and Experiments} \label{appendix::dataset} \paragraph{Linux Server} We run all the experiments on a Linux server, some important information is listed: \begin{itemize} \item CPU: Intel(R) Xeon(R) Silver 4210 CPU @ 2.20GHz $\times$ 40 \item GPU: NVIDIA GeForce RTX2080TI-11GB $\t...
1,314,259,995,177
arxiv
\section{Introduction} With the global availability of the digital elevation model (DEM) produced by the German Aerospace Center's (DLR) TanDEM-X mission, topographic data with so far nonexistent spatial resolution and height accuracy have become accessible on a global scale. The fact that a complete satellite mission...
1,314,259,995,178
arxiv
\section{Introduction}\label{sec_in} In the last decade, analysis of black hole low-mass X-ray binaries (BH LMXBs) using X-ray spectra has shown the presence of photoionised plasmas in such systems \cite[see][and references therein]{dia16}. The plasmas can be found as a bound atmosphere or they can flow outwards with ...
1,314,259,995,179
arxiv
\section{Introduction} Let $G$ be any finite simple graph with vertex set $V(G) = \{x_1,\ldots,x_n\}$ and edge set $E(G)$, where simple means no loops or multiple edges. The \textbf{edge ideal} of $G$ is the ideal $I(G)= \left\langle x_{i}x_{j} \mid \{x_{i},x_{j} \}\in E(G) \right\rangle$ in the polynomial r...
1,314,259,995,180
arxiv
\section{Preliminaries} \label{sec:prelims} For integer $n\geq 1$ let $[n]\doteq \{1,\ldots, n\}$. \paragraph{Local differential privacy:} In the local differential privacy (LDP) model \citep{Warner,EvfimievskiGS03,KasiviswanathanLNRS11} it is assumed that each data sample obtained by the server is randomized in a diff...
1,314,259,995,181
arxiv
\section*{Version fran\c{c}aise abr\'eg\'ee} \selectlanguage{english} \section{Introduction} A classical result of Furstenberg \cite{Furst} says that if $X$ is a closed subset of $[0,1]$, invariant under the map $T_m:\ x\mapsto mx$ (mod 1), then its Hausdorff dimension equals the Minkowski (box-counting) di...
1,314,259,995,182
arxiv
\section{Introduction}\label{S:intro} In this work, we consider the local dynamics of periodic traveling wave solutions, i.e. wave trains, in reaction diffusion systems of the form \begin{equation}\label{e:rd} u_t = u_{xx} + f(u),~~x\in{\mathbb{R}},~~t\geq 0,~~u\in{\mathbb{R}}^n \end{equation} where $n\in{\mathbb{...
1,314,259,995,183
arxiv
\section{Introduction} Recently a Landau-Ginzburg model of two-dimensional strings at self-dual radius (i.e., $c = 1$ topological matter coupled to two-dimensional gravity) has been proposed and studied by several groups \cite{bib:Ghoshal-Mukhi,bib:HOP,bib:Danielsson}. This model is in a sense a natural extrapolation ...
1,314,259,995,184
arxiv
\subsection{Pseudo code of Counter Application} \label{subsec:countercode} OP\_LT\_SEED is defined as number of operations per transaction, T\_OBJ\_SEED is defined as number of transaction objects in the system, TRANS\_LT defines the total number of transactions to be executed in the system, and READ\_PER is the percen...
1,314,259,995,185
arxiv
\section{INTRODUCTION} Cometary ices have undergone little or no processing since their formation in the solar nebula and thus they represent an important clue in understanding the conditions in the early Solar System. However, this interpretation is complicated by the radial mixings in the protoplanetary disk and th...
1,314,259,995,186
arxiv
\section{Introduction} \label{Intro} Finding bi-Lipschitz parameterizations of sets is a central question in areas of geometric measure theory and geometric analysis. A Lipschitz function on a metric space plays the role played by a smooth function on a manifold, and a bi-Lipschitz function plays the role of that of a...
1,314,259,995,187
arxiv
\section{Introduction} Extracting general conclusions from the Einstein field equations has always been a difficult task, specially if matter is included. A particularly simple but useful matter model is electrically counterpoised dust (ECD). It corresponds to a charged perfect fluid without pressure. Although it migh...
1,314,259,995,188
arxiv
\section{Introduction} There is currently a great deal of interest in applying the methods of computational algebraic geometry to string phenomenology and closely related sub-fields of theoretical physics. For some examples of recent work see \cite{VacspaceBlock,Benvenuti:2006qr,Feng:2007ur,Forcella:2008bb,GIOBlock1,F...
1,314,259,995,189
arxiv
\section{Introduction} Corvaja and Zannier conjectured that an abelian variety over a number field satisfies a modified version of the Hilbert property. We investigate their conjecture for products of elliptic curves using Kawamata's structure result for ramified covers of abelian varieties, and Faltings's finit...
1,314,259,995,190
arxiv
\section{Introduction} Current-driven spin-orbit torques have become a prodigal area of research in the past ten years \cite{Brataas2014,Manchon2019}. This magnetic torque enables the electrical control of ferromagnets using spin densities generated through angular momentum transfer between the orbital and spin degrees...
1,314,259,995,191
arxiv
\section{Introduction} Since the discovery of superconductivity at 26 K in oxy-pnictide LaFeAsO$_{1-x}$F$_x$\cite{Hosono}, enormous interests have been stimulated in the fields of condensed matter physics and material sciences. Among the several types of iron based superconductors with different structures\cite{H...
1,314,259,995,192
arxiv
\section{Introduction} Very luminous X-ray sources with X-ray luminosities ($L_{\rm X}$) in the range $10^{38}$--$10^{39}$ ergs s$^{-1}$ are often binaries with stellar mass black holes or, less frequently, neutron stars as primaries. In contrast, ultraluminous X-ray sources (ULXs) with $L_{\rm X} \sim 10^{40}-10^...
1,314,259,995,193
arxiv
\section{Introduction} Active matter is a nonequilibrium branch of soft matter and has risen strong interest in recent years. Self-propelled particles (or, swimmers) have their own engines to self-propel them in fluid media in the absence of external forces in a directed motion \cite{purcell:AJP1977,berg:book2003,Laug...
1,314,259,995,194
arxiv
\section{Introduction} \begin{figure}[ht] \centering \includegraphics[width=1.0\linewidth]{figures/Diagnosis_Process.pdf} \caption{Illustration of the multi-task learning setting for WSI analysis.} \label{Diagnosis_Process} \vspace{-0.5cm} \end{figure} Histopathology analysis is the gold standard method for cancer ...
1,314,259,995,195
arxiv
\section{Introduction} In this paper we study K\"ahler Ricci flows \begin{equation} \label{krf} \partial_t g_{i\bar j} = - R_{i\bar j} + g_{i\bar{j}} = \partial_i \partial_{\bar j} u, \quad t>0, \end{equation} on a compact, K\"ahler manifold ${\bf M}$ of complex dimension $m=n/2$, with positive first Chern class. ...
1,314,259,995,196
arxiv
\section{Introduction} \noindent Since their introduction in the seminal article of Linetsky (cf.~\cite{li99}) and their generalization in the subsequent work of Davydov and Linetsky (cf.~\cite{dl02}) geometric step options have constantly gained attention in both the financial industry and the academic literature (cf....
1,314,259,995,197
arxiv
\section{\uppercase{Introduction}} \subsection{The Role of Meridional Circulations in Transport and Mixing} The interiors of stars, in common with all rotating fluids, frequently exhibit meridional circulations, and the transport of angular momentum and chemical species by these circulations has significant consequen...
1,314,259,995,198
arxiv
\section{Introduction} The information overload and abundance of choices on the Web have made recommendation systems indispensable in facilitating user decision-making and information navigation. Recommender systems provide personalized user experience by filtering relevant items (e.g., books, music, or movies) or inf...
1,314,259,995,199
arxiv
\section{Introduction}\label{sec:one} The parton distribution functions (PDFs) content for nucleon is usually determined from global fits to experimental data at the large momentum transfer Q$^2$. Over the past decade, our knowledge of the quark and gluon substructure of the nucleon has been extensively improved due ...
1,314,259,995,200
arxiv
\section{Introduction} This paper aims to investigate the possible effects of cognitive biases on human understanding of machine learning models, in particular inductively learned rules. We use the term ``cognitive bias'' as a representative for various cognitive phenomena that materialize themselves in the form of oc...
1,314,259,995,201
arxiv
\section{Introduction} After the discovery of Higgs boson at the LHC \cite{atlas, cms}, couplings of the Higgs boson to certain other Standard Model (SM) particles have been measured and the best fit is performed with the result very close to the SM expectation~\cite{higgs}. However, the Higgs boson self coupling, a...
1,314,259,995,202
arxiv
\section*{Acknowledgements} This work was supported in part by the key projects of Chinese Academy of Sciences, the National Science Foundation of China (NSFC) under the grant 10475105, 10491306. This research was also supported in part by the National Science Foundation under Grant No. PHY99-07949. B.H.'s work was al...
1,314,259,995,203
arxiv
\section{Introduction} In this paper, we study the following inverse spectral problem: \begin{eqnarray}\label{1.1} \left\{% \begin{array}{ll} \Delta u+k^2u=0, & \hbox{ in }D ,\,k^2\in\mathbb{R}^+;\vspace{3pt}\\\vspace{3pt} \frac{\partial u}{\partial \nu}=0,& \hbox{ on }\partial D;\\ u=1,&\hbox{ on }\partia...
1,314,259,995,204
arxiv
\section{ Introduction } In the Standard Model (SM), the flavor-changing neutral current (FCNC) decays \ensuremath{D^0\to\ell^+\ell^-}\ are strongly suppressed by the Glashow-Iliopoulos-Maiani (GIM) mechanism. % Long-distance processes bring the predicted branching fractions up to the order of $10^{...
1,314,259,995,205
arxiv
\section{Logarithmic lower bound} \label{sec:LB-log} \ascomment{just copied from the "old" LB section.} Our first lower bound concerns the dependence on $\Dmin$, and holds for any given value thereof. \begin{theorem}[dependence on $\Dmin$]\label{thm:mainLB} Posit an arbitrary time horizon $T$, budget $B = \nicefrac...
1,314,259,995,206
arxiv
\subsection{\textsc{lingauss} datasets} \begin{figure}[!h] \includegraphics[width=1.\textwidth]{figures/fullres__chain_fit.png} \caption{} \label{fig:result_chain_fit} \end{figure} \begin{figure}[!h] \includegraphics[width=1.\textwidth]{figures/fullres__chain_rcit.png} \caption{} \label{fig:result_chain_rcit} \end{fi...
1,314,259,995,207
arxiv
\section{Introduction} The Sanskrit Computational Linguistics (SCL) community has garnered growing interest in the dependency parsing task in the last two decades. Earlier attempts for developing dependency parser for the Sanskrit mainly focused on building rule-based systems ~\cite{goyal2007analysis,kulkarni2010desig...
1,314,259,995,208
arxiv
\section*{Introduction} Identification of the intrinsic properties of magnetic nanostructures is central to the development of applications in a wide range of topics: information storage, biomedicine, permanent magnet development, and many more. The parameter identification techniques are at the heart of large scale ma...
1,314,259,995,209
arxiv
\section{Introduction} \label{sect1} Lian and Yau \cite{LY1,LY2} studied arithmetic properties of mirror maps of pencils of certain $K3$ surfaces, and further, they considered mirror maps of certain families of Calabi--Yau threefolds \cite{LY3}. Lian and Yau observed in a number of explicit examples a mysterious relat...
1,314,259,995,210
arxiv
\section{Introduction \label{sec:Intro}} Applications of nonclassical states can only manifest the true power of quantum mechanics. This is so because the working of any technology that does not use nonclassical state(s) can be understood/explained classically (i.e., without using quantum mechanics). Recently, many ...
1,314,259,995,211
arxiv
\section{Introduction} \label{intro} The context of smart cities relates to the capability of analyzing and responding to specific requests from residents. In addition to social media networks such as Twitter and Chinese Weibo, an important source of city events down to the county level are service requests directly re...
1,314,259,995,212
arxiv
\section{Introduction} FU Orionis type objects (FUors) are a group of pre-main sequence objects showing a long-lived outburst in optical bands \citep{hk1996}. A prototype of this group, FU Orionis, flared up by 6 magnitude in $B$ band for a few months in 1936. Since then, FU Orionis has stayed bright for $\sim$80 years...
1,314,259,995,213
arxiv
\section{Introduction} The analytic conformal bootstrap has uncovered universal features in sparse corners of the spectrum of conformal field theories (CFTs), at large spin \cite{Fitzpatrick:2012yx,Komargodski:2012ek} or large charge \cite{Jafferis:2017zna}. The `middle' of the spectrum is instead exponentially dense, ...
1,314,259,995,214
arxiv
\section{Introduction} \label{sec:intro} In the currently favored $\Lambda$CDM paradigm, the fossil record of galaxy formation is imprinted in the stellar halos that surround massive galaxies like the Milky Way. The number of substructures, or satellites, embedded in the halo is an important prediction of cosmologica...
1,314,259,995,215
arxiv
\section{Introduction} The first step of the transcription of deoxyribonucleic acid (DNA) is a local opening of the double helix which extends over about 20 base pairs. Such local unwindings of the helix can be obtained by heating DNA to about $70^{\circ}~C$. But in the life of an organism they must occur at physiolog...
1,314,259,995,216
arxiv
\section{Introduction} \label{s_intro} Effective analysis and design of timber and composite structures unavoidably require beam and plate models capable to handle the material anisotropy. Nowadays the need of accurate analysis tools is even more urgent due to the fast development of novel technologies. As an example...
1,314,259,995,217
arxiv
\subsection*{Results \& Discussion} \subsubsection*{Hodgkin-Huxley model, multiple solutions and their sensitivity to parametric variations} The dispersion of parameters measured by Hodgkin and Huxley is summarized in Figure~\ref{fig:1} -- a collage of data and images from the original report, adapted to modern nota...
1,314,259,995,218
arxiv
\section{Introduction} Theoretical studies and numerical simulations suggest that Active Galactic Nuclei (AGN) play an important role in the evolution of their host galaxies \citep[e.g.][]{hopkins05}. Currently, it is widely accepted that galaxies with spherical component (bulge of spiral galaxies and elliptical galax...
1,314,259,995,219
arxiv
\section{Introduction} The pseudogap state of high temperature superconductors has been studied with numerous experimental tools, yet its origin is not resolved.~\cite{Norman:2005} One view proposes that the pseudogap state is a particle-hole condensate, a density wave. Of all such states that break translational ...
1,314,259,995,220
arxiv
\section{Introduction} In this paper, we introduce an unknotting-type number of knot projections (Definition~\ref{def1}) as follows. Every double point in a knot projection can be spliced two different ways (Figure~\ref{f2}), one of which gives another knot projection (Definition~\ref{dfn1}). A special case of s...
1,314,259,995,221
arxiv
\section{Introduction} Colloidal semiconductor nanoclusters (NCs) or quantum dots (QDs) have attracted a great deal of attention due to their applications in the fields of optoelectronics, spintronics, photovoltaic or bio-labeling\cite{peng05,clark07,beard07, klimov07,ithurria07,cirillo14,gaponik10,talapin10,cao00,blok...
1,314,259,995,222
arxiv
\section{Introduction} The purpose of this contribution is two-fold: on one hand, it serves as a summary of my talk in the QF2 session on the spin-statistics connection (section~\ref{sec:spinstats}); on the other, at the request of the session organisers, it provides an expository review of locally covariant quan...
1,314,259,995,223
arxiv
\subsection{Neutral DY} \input{plot_DY} For the neutral DY case, the fixed order results and the associated uncertainties have been discussed in Ref.\cite{Baglio:2022wzu} in greater detail. Hence, we will not repeat them here, instead we focus on the resummed results. In the left panel of \fig{fig:matched_kfac_DY...
1,314,259,995,224
arxiv
\section{\label{sec:intro}Introduction} Neural networks are widely used across various sectors to perform challenging data analysis tasks, but the high energy cost of training increasingly complex models is an escalating problem. More specifically, for training a state-of-the-art model, a Transformer with 213M paramet...
1,314,259,995,225
arxiv
\section{Introduction} Single image super-resolution aims at reconstructing an accurate high-resolution image from the low-resolution image. Since deep learning made big progress in the computer version, many SISR algorithms based on deep Convolution Neural Networks (CNN) have been proposed in recent years. The powerf...
1,314,259,995,226
arxiv
\section{Introduction} The optical flux during the {\sl prompt} $\gamma$-ray emission is 1--4 orders of magnitude larger than the extrapolation of the burst spectrum to optical for GRB 990123 (figure 2 of Galama et al 1999), GRB 061126 (figure 5 Perley et al 2008), GRB 080319B (figure 3 of Racusin et al 2008), and...
1,314,259,995,227
arxiv
\section{Introduction} In this paper, we present a new framework for idempotent analysis over tropical semirings based on a notion called tropical projection. The backgrounds of this paper come from a few areas with intrinsic connections: \begin{enumerate} \item \emph{Idempotent analysis.} Idempotent analysis is a...
1,314,259,995,228
arxiv
\section{Introduction} \label{sec:intro} \setcounter{equation}{0} First-order phase transitions lead to a variety of phenomena in the early Universe such as baryogenesis~\cite{Kuzmin:1985mm}, gravitational wave (GW) production~\cite{Witten:1984rs,Hogan:1986qda,Kosowsky:1991ua,Kosowsky:1992rz,Kosowsky:1992vn,Kamionko...
1,314,259,995,229
arxiv
\section{Introduction}% \label{sec:introduction} \subsection{Context and objectives}% \label{sec:context-objectives}% Stochastic modeling of complex systems involves a multilayered process where various sources of uncertainty are accounted for at different stages. In a goal-oriented framework, the ultimate focus of t...
1,314,259,995,230
arxiv
\section{Introduction In the quiet solar photosphere the energy stored in the magnetic field is comparable to the kinetic energy due to convective motions. This gives rise to a rich variety of phenomena that evolve at very short time and spatial scales. The IMaX instrument (Imaging Magnetograph eXperiment; Mart{\'...
1,314,259,995,231
arxiv
\section{Introduction} \label{Intro} The analysis of optical data at a wide frequency range collected by various astronomical surveys is a critical component used to study the origin and evolution of galaxies. Data on galaxy shape \citep{GalShape} and luminosity \citep{GalLum1,GalLum2} in various bands provide infor...
1,314,259,995,232
arxiv
\section{Introduction} There are advantages in the use of high dimensional entangled systems in quantum information processing and communication. Such systems with dimensions larger than 2 allow for a higher information capacity \cite{walborn} and lead to increased security in quantum cryptography \cite{bp2000}. Quant...
1,314,259,995,233
arxiv
\section{Introduction} \label{intro} Simulation of dynamical systems has become an essential part in the development of science to study complex physical phenomena. However, as the ever increasing need for accuracy has lead to ever larger dimensional dynamical systems, this increased dimension often makes the de...
1,314,259,995,234
arxiv
\section{} \centerline{\Large\bf Abstract} \vspace{.25cm} \noindent The inversion potential for the ammonia molecule is approximated by $V(x)=k(x^2-r^2)^2/8r^2$. The Hamiltonian thereby contains only even powers of $p$ and $x$ and a representation in terms of ladder operators $a$ and $a^\dagger$ is suggested. The f...
1,314,259,995,235
arxiv
\section{Why Mass Transfer to Compact Binaries Is Important} The discovery of gravitational radiation from the mergers of black holes (BHs) and neutron stars (NSs) has made it important to understand how two stellar remnants can come to be in a close-enough orbit that they will merge within a Hubble time \citep{20...
1,314,259,995,236
arxiv
\section{Introduction} \label{sec_intro} Direct imaging of exoplanets has been a field in rapid development over the past few years, with detections of several planets \citep[e.g.][]{lagrange2010,marois2010} and low-mass brown-dwarfs \citep[e.g.][]{chauvin2005,thalmann2009} that have been enabled by the advent of hi...
1,314,259,995,237
arxiv
\section{Notations} \label{intro} Along this paper, we consider a {\sl multiplex network} $\mathcal{G}$, made of $m\in\mathbb{N}$ {\sl layers} $G_1,\cdots,G_m$, such that each layer is a (directed or undirected) un-weighted network $G_k=(X,E_k)$, with $X=\{e_1,\cdots,e_n\}$ (i.e. all layers have the same $n\in\mathbb{...
1,314,259,995,238
arxiv
\section{Introduction}\label{sect:intro} Following a celebrated paper \cite{GSS1} by Grillakis, Shatah and Strauss, we consider abstract Hamiltonian systems of the form \begin{equation}\label{eq:1.1} \frac{du}{dt}(t)=\tilde JE'(u(t)), \end{equation} where $E$ is the energy functional on a real Hilbert space $...
1,314,259,995,239
arxiv
\section{Introduction} Deep learning approaches have been successfully applied to expressive text-to-speech (TTS). Expressive styles of speech can be modeled using explicit labels for style attributes~\cite{zhu2019controlling,lei2021fine} or by extracting high-level latent features from input speech~\cite{wang2018styl...
1,314,259,995,240
arxiv
\section*{Introduction} Let $A$ be a semisimple Hopf algebra and $D(A)$ be its Drinfeld double. It is well known that the category $\mtr{Rep}(D(A))$ of representations $D(A)$ is a modular category \cite{BaKi} and is braided equivalent to the center $\mtc{Z}(\mtr{Rep}(A))$ of the tensor category $\mtr{Rep}(A)$. The...
1,314,259,995,241
arxiv
\section{Introduction} The optional arguments of {\tt $\backslash$documentclass$\{$eptcs$\}$} are \begin{itemize} \item at most one of {\tt adraft}, {\tt submission}, {\tt preliminary} or {\tt replacement}, \item at most one of {\tt publicdomain} or {\tt copyright}, \item and optionally {\tt creativecommons}, \begin...
1,314,259,995,242
arxiv
\section{Introduction} The problem of simulation parameter inference received a considerable amount of attention in the broad scientific community: \cite{cranmer2020frontier} provides a recent survey. The `real-to-sim' term is commonly used to refer to parameter inference for large-scale models and general-purpose sim...
1,314,259,995,243
arxiv
\section{INTRODUCTION} Over the past two decades, robotics and autonomous vehicle systems have \textcolor{red}{increasingly utilized} vision sensors, using them to provide critical capabilities including localization. This usage is due in part to the rapid increase in both \textcolor{red}{camera capabilities and comput...
1,314,259,995,244
arxiv
\section{Friedmann equations in the $f(T)$ theory} In the framework of $f(T)$-gravity, the Friedmann equations in the flat spatial Friedmann-Robertson-Walker (FRW) universe are given by \cite{Karami1,Ferraro,bengochea,yerzhanov,linder,WufT,Bamba} \begin{equation} \frac{3}{k^2}H^2=\rho+\rho_T,\label{fT11} \end...
1,314,259,995,245
arxiv
\section{#1}} \newcommand{\appsection}[1]{\addtocounter{section}{1} \setcounter{equation}{0} \section*{Appendix \Alph{section}~~#1}} \renewcommand{\theequation}{\thesection.\arabic{equation}} \newcommand{{\cal G}}{{\cal G}} \newcommand{{\mathbb Z}}{{\mathbb Z}} \newcommand{{\mathbb N}}{{\mathbb N}} \newcommand\al{\alph...
1,314,259,995,246
arxiv
\section{Introduction} Nonlinear frequency conversion of far-infrared or microwave signals into the optical domain has been actively used for detection of such signals \cite{chiou72apl,abbas76ao,albota04ol,karstad05ole,temporao06ol,vandevender07josab,ding06,khan07,strekalov08THz1}. The relative ease of optical signal ...
1,314,259,995,247
arxiv
\section{Introduction} Recently, some intriguing anomalies have been found in the branching ratios of semi-leptonic decays of B-mesons into electron and muon pairs, \begin{equation}\label{eq:rk} \mathcal{R}_{K}=\frac{Br\left(B^+\rightarrow K^+\mu^+\mu^-\right)}{Br\left(B^+\rightarrow K^+ e^+e^-\right)},\; \mathcal{R}...
1,314,259,995,248
arxiv
\section{Introduction} Tests of quantum mechanics are of increasing interest in recent years, in particular, the optical tests of quantum mechanics carried out on systems of two correlated photons. Such systems---showing Einstein--Podolsky--Rosen (EPR) correlations---are suitable to discriminate between quantum mechan...
1,314,259,995,249
arxiv
\section{Introduction} The ab-initio simulation of periodic solids with strong correlations is an important problem in condensed matter physics. While reliable computational methods exist for weakly correlated solids, they tend to be less suitable where the underlying independent electron approximation fails, such as i...
1,314,259,995,250
arxiv
\section*{Introduction} It is well known that the spectrum of the Laplace-Beltrami operator $\Delta_Y$ on a (closed, viz., compact without boundary) Riemannian manifold $Y$ does not necessarily capture its isometry type (cf.\ Milnor \cite{Milnor} and later work); actually, it does not even determine the homeomorphism...
1,314,259,995,251
arxiv
\section{Introduction} The initial impetus for this text was given by an observation by John Baez \cite[p. 200]{baez} in his celebrated paper {\em The Octonions}, concerning the construction of the exceptional Lie algebra $\ee_8$ as the direct sum of $\spin(16)$ and the real half-spin representation $\Sigma^+_{16...
1,314,259,995,252
arxiv
\section{Introduction} Coreference resolution is one of the best known tasks in Natural Language Processing (NLP). Despite a large body of work in the area over the last few decades \cite{morton2000coreference,bean2004unsupervised,mccallum2005conditional,rahman2009supervised}, the task remains challenging. Many resolu...
1,314,259,995,253
arxiv
\section{Introduction} Pions, the Nature's simplest hadrons, are simultaneously Nambu-Goldstone modes generated by dynamical chiral symmetry breaking in the Standard Model (SM) and bound states of first-generation light quarks and anti-quarks. This key feature explains why symmetries and their breaking play a crucial ...
1,314,259,995,254
arxiv
\section{Introduction} Transitional disks (TDs) are circumstellar disks that exhibit inner clearings or gaps induced by physical processes such as photoevaporation, grain growth, and dynamical interactions with stellar companions or candidate planets. This causes a wide range of spectral energy distribution (SED) prop...
1,314,259,995,255
arxiv
\section{Introduction} Accreting high mass X-ray binary (HMXB) pulsars are among the brightest X-ray sources in our Galaxy (Nagase et al. 1989). In these binaries, a neutron star and a massive ($\geq$ 10 $M_{\odot}$) main-sequence star rotate around the common center of mass of the system in a wide and eccentric orbi...
1,314,259,995,256
arxiv
\section{Introduction} \label{sec:intro} \noindent Imagine looking through an open doorway. Most of the room on the other side is invisible. Nevertheless, we can estimate how the room \emph{likely} looks. The few visible features enable an informed guess about the height of the ceiling, the position of walls and l...
1,314,259,995,257
arxiv
\section{Introduction} The imposition of normal ordering on the Lagrangian, energy-momentum tensor and currents has become a standard feature in QFT, designed to eliminate the infinities in the vacuum expectation values (v.e.v.) of these dynamical entities. Although axiomatic components in fundamental theories are ge...
1,314,259,995,258
arxiv
\section*{Appendix: #1}} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} \DeclareMathOperator{\dist}{dist} \renewcommand{\O}{O} \renewcommand{\i}{i} \renewcommand{\j}{j} \newcommand{\mathcal{I}}{\mathcal{I}} \newcommand{\ivnum}[1]{{\i^{#1}}} \newcommand{\jvnum}[1]{{\j^{#1}}} \newcommand{\mathbb{Z}}{\...
1,314,259,995,259
arxiv
\section{Introduction} For decades, the social sciences have studied how large-scale patterns of human activity emerge from the behavior of individuals~\cite{schelling}. Until a decade ago, data sets were typically gleaned from questionnaires, observational studies, etc.; and understandably rather small. Some statisti...
1,314,259,995,260
arxiv
\section{Introduction} Gruzinov has proposed that force-free electrodynamics is inadequate for describing some relativistic magnetospheres, because of insufficient pair supply to short out the induced electric fields. In particular he argued that this is the case for ``weak pulsars" \cite{2013arXiv1303.4094G}. In th...
1,314,259,995,261
arxiv
\section{Introduction} \begin{figure} \includegraphics[width=0.9\columnwidth]{images/rotation-crop.pdf} \vspace{-5pt} \caption{The non-dominated front of behavior domination can be viewed as a rotation of the Pareto front. Guarantees from multiobjective optimization can then be applied.} \label{FigRotation} \end{figure...
1,314,259,995,262
arxiv
\section{Introduction}\label{sec:intro} Semi-continuous data are non-negative and characterized by the coexistence of high kurtosis, positive skewness and an abundance of zeros observed often enough that there are compelling substantive and statistical reasons for special treatment (\cite{belotti2015twopm}). Modeling n...