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1,314,259,996,263
arxiv
\section{Introduction} \noindent Transferring knowledge from a labeled source domain to an unlabeled target domain is desirable in many real-world applications. However, deep learning models do not perform well in the presence of such domain shifts. For example, a model trained on synthetic data may fail to generalize...
1,314,259,996,264
arxiv
\section{Introduction} The strong field approximation (SFA) \cite{ref_KFR_amplitude} is {\em the} underlying theory describing the interaction of intense laser light with atoms \cite{ref_JPB_review} or molecules \cite{milo_molecules}. It allows to calculate photoelectron \cite{ref_JPB_review} or high-harmonic spectra \...
1,314,259,996,265
arxiv
\section{Acknowledgements} We thank A.~H\"ogele, M.~Munsch, and J.-V. Kim for fruitful discussions and valuable feedback on the manuscript and A. Ferreira for technical help. We gratefully acknowledge financial support from the SNI; NCCR QSIT; SNF grants 143697, 155845, 169016 and 178891 the EU Graphene Flagship. N.U....
1,314,259,996,266
arxiv
\section{\label{Introduction}Introduction} The physics of turbulent flows, which are ubiquitous in real-world applications, is a widely addressed, yet not fully understood, research topic, so that turbulence is often considered as the last unsolved problem of classical physics~\cite{frisch1995turbulence}. Examples w...
1,314,259,996,267
arxiv
\section{Introduction} In this paper we consider a finite dimensional vector space $X$ over a field $\mathbb K$ of characteristic 0 and the associative algebras with zero differentials $A=\mathrm S(X^*)$ resp. $B=\wedge(X)$ i.e. the symmetric algebra over $X^*$, resp. the exterior algebra over $X$. For simplic...
1,314,259,996,268
arxiv
\section{Introduction} For many years the existence of a bound state of two $^4$He atoms was an open problem. Some potential models predicted such a state \cite{BruchMcGee1970,Aziz79,UangStwalley} while the others did not \cite{DeBoer1958,Beck1968}. However practically all more or less realistic helium-helium p...
1,314,259,996,269
arxiv
\section{Lower bounds for randomized algorithms} When constructing hard instances for randomized algorithms, one does not have the luxury of reacting to the algorithms queries, because we cannot anticipate the random seed $\xi$. The approach taken here, and in prior work, is to draw orthogonal vectors from some h...
1,314,259,996,270
arxiv
\section{Introduction} \begin{figure}[t] \centering \includegraphics[width=0.8\linewidth]{figs/action-comparison.pdf} \caption{The comparison among common actions in our daily life, actions in individual sports and actions in team sports. Top: common actions in UCF101 \cite{soomro2012ucf101}, which i...
1,314,259,996,271
arxiv
\section{More discussion on EMMP} \section{Hyper-parameters} For the baselines, we leverage the codebase maintained by~\citep{satorras2021en}. We tune the hyper-parameters around the suggested hyper-parameters as specified in~\citep{huang2022constrained} for the baselines. Specifically, for GNN, RF and EGNN, we tu...
1,314,259,996,272
arxiv
\section{Introduction} \subsection{Totally nonnegative flag varieties of reductive groups} The theory of total positivity on the reductive groups $G$ and their partial flag varieties $\ensuremath{\mathcal {P}}\xspace_K$ was introduced by Lusztig in the seminal work \cite{Lu94}. The totally nonnegative partial flag va...
1,314,259,996,273
arxiv
\section{The model}\label{sec:model} We focus our attention on a modified version of the $p$-spin Hamiltonian, the so-called multi-$p$-spin model, in which spins do interact in $r$-uples with $r$ taking more than one value: \begin{equation} \mathcal{H}\{\underline\sigma\} = -\sum_r c_r \sum_{1 \le i_1 < \ldots < i_r...
1,314,259,996,274
arxiv
\section{Introduction and motivation} \label{intro}Common, even simple, mathematical problems usually involve nonlinear maps, sometimes acting on sets with little (or none) algebraic structure; so the extension of linear techniques to the nonlinear setting, besides its intrinsic mathematical interest, is an impor...
1,314,259,996,275
arxiv
\section{Introduction} In the study of infinite dimensional algebras, the notion of dimension of course has not much sense. However, instead of the dimension, one can categorize an algebra by the growth of the dimension of finitely generated subalgebras, if the algebra is filtered or graded. For commutative algebras, t...
1,314,259,996,276
arxiv
\section{Invariant mass spectroscopy in RI-beam experiments} Rare isotope beams available at in-flight separators, at RIKEN (RIBF), MSU, GSI, and GANIL, have expanded physics opportunities to a wider range of $N-Z$. Accordingly, more experiments have been performed for nuclei near the drip line or even beyond~\cite{T...
1,314,259,996,277
arxiv
\section{Introduction} For a bipartite graph $G$, we write $G=(V_1\cup V_2, E)$ to indicate that $V_1$ and $V_2$ are the stable sets of $V(G)$. Define a {\it mirror bipartite graph} of order $2n$ to be a bipartite graph $G=(V_1\cup V_2,E)$ for which there exists a bijective function $\varphi : V_1\rightarrow V_2$ ...
1,314,259,996,278
arxiv
\section{Introduction} The history of the theory and practice of quantization dates back to 1948. Since then quantization has become an important field in electrical engineering in connection with signal processing and data compression. Broadly speaking, quantization consists in replacing an actual large data set of...
1,314,259,996,279
arxiv
\section{Introduction} Over the last decades double perovskite manganites have been of great interest in many fields such as cathodes of solid oxide fuel cells (SOFC) for high temperature applications \cite{Navickas2015}, magnetic storage and magnetic field sensing functions at room temperature \cite{Haghiri-Gosnet2000...
1,314,259,996,280
arxiv
\section*{Abstract} The recent increase in public and academic interest in preserving biodiversity has led to the growth of the field of conservation technology. This field involves designing and constructing tools that utilize technology to aid in the conservation of wildlife. In this article, we will use case studies...
1,314,259,996,281
arxiv
\section{Introduction} \label{S1} Graphene-based electronics has been the subject of an intensive theoretical and experimental research since the discovery of this striking two-dimensional material in 2004 \cite{NG2004}. Particularly promising are device architectures that mimic the ordinary semiconductor heterojuncti...
1,314,259,996,282
arxiv
\section{Introduction}\label{sec:introduction}} \else \section{Introduction} \label{section:introduction} \fi \IEEEPARstart{I}{n} today's world, with tremendous amounts of sensitive data becoming digitized, protecting private user data is paramount. Passwords or other single-sign-on (SSO) security measures are typical...
1,314,259,996,283
arxiv
\section{Introduction} The action we consider in $D=2n$ dimensions reads \begin{eqnarray} S = \int d^Dx \left( \sqrt{|g|} g^{ab} R_{ab}(\Gamma) +{\textstyle\frac 1 n} \theta\epsilon^{a_1a_2 \dots a_{D}} R^{i_1}{}_{i_2 a_1 a_2} R^{i_2}{}_{i_3 a_3 a_4} \dots R^{i_n}{}_{i_1 a_{D-1} a_D}(\Gamma) \right) \,. \eer{act1} In...
1,314,259,996,284
arxiv
\section{Introduction} Deeply virtual Compton scattering (DVCS) is considered as the theoretically cleanest process to investigate generalized parton distributions (GPDs) \cite{MueRobGeyDitHor94,Ji96,Rad96}. These distributions are a hybrid of parton densities, form-factors, and distribution amplitudes and might be re...
1,314,259,996,285
arxiv
\section{Introduction}\label{introduction} Quantum statistical mechanics has many similarities to the classical version, and also some differences. Two facts true in the quantum but not in the classical case, \emph{canonical typicality} and (what we call) \emph{normal typicality}, follow from just the general mathemat...
1,314,259,996,286
arxiv
\section{Introduction} The charmonium spectrum consists of eight narrow states below the open charm threshold (3.73~GeV) and several tens of states above that. Below the threshold almost all states are well-established. In contrast very little is known at higher masses where there have been discoveries~\cite{qr} of se...
1,314,259,996,287
arxiv
\section{Preliminaries} \subsection{Introduction} In this paper we are concerned with the existence of the ground state of the so-called semi-relativistic Pauli-Fierz (it is shorthand as "SRPF" in this paper) model in quantum electrodynamics. This model describes a minimal interaction between a semi-relativistic quan...
1,314,259,996,288
arxiv
\section{Introduction}\label{sec:introduction} Naturally, most verbal communication occurs in context when the listener can see the speaker as well as hear them. Although speech perception is normally regarded as a purely auditory process, visual cues can enhance the level of speech understanding~\cite{OuluVS} and McGu...
1,314,259,996,289
arxiv
\subsection*{Acknowledgements} We thank Arend Bayer, Luis Garcia, Chunyi Li, Jan Manschot, Davesh Maulik and Rahul Pandharipande for their generous help with this paper. Our intellectual debt to Yukinobu Toda is described in Section \ref{related}. We acknowledge the support of an EPSRC postdoctoral fellowship EP/T0186...
1,314,259,996,290
arxiv
\section{Supersymmetric Kramers equation} We consider a system of $n$ interacting particles in the 3-dimensional space, defined by the Hamiltonian \begin{equation} \mathcal{H}=\frac{\mathbf{p}^2}{2m}+V(\mathbf{q}) \,, \end{equation} where the vectors $\mathbf{q} = (\vec{q}_{1}, \dots, \vec{q}_{n})$ and $\mathbf{p} ...
1,314,259,996,291
arxiv
\section{Introduction} \label{sec:intro} \input{sections/introduction} \section{Decoupling Using Language-Neutral Protocols} \label{sec:decoupling} \input{sections/decoupling} \section{Specification Language Server Protocol} \label{sec:slsp} \input{sections/slsp} \section{Pilot Study} \label{sec:pilotStudy} \i...
1,314,259,996,292
arxiv
\subsubsection{\@startsection{subsubsection}{3}{\z@ {0.5\@bls plus .3\@bls minus .1\@bls {0.5em\@afterindentfalse {\sagesf\normalsize\itshape}} \makeatother \begin{document} \runninghead{A. Lindmark et al.} \title{Sensitivity analysis for unobserved confounding of direct and indirect effects using uncertainty ...
1,314,259,996,293
arxiv
\section{Preliminaries in Teichm\"uller theory}\label{sec:prelim} \subsection*{Teichm\"uller space}~\cite{Gardiner:Lakic:book},~\cite{Hubbard:book:T1} Let $\Sigma_{g,n}$ be a connected, oriented surface of genus $g$ and $n$ punctures and ${\mathcal T}_{g,n}$ denote the Teichm\"uller space of Riemann surfaces marked by ...
1,314,259,996,294
arxiv
\section{Introduction} Black $p$-brane solutions of type II supergravity carrying Ramond-Ramond (RR) charges have been known since the early 90's \cite{Horowitz-strominger,Duff-Lu}. The string frame metric and dilaton backgrounds in such solutions may be expressed in the following simple form: \begin{equation} \labe...
1,314,259,996,295
arxiv
\section{Introduction and the model} The spin excitations in isotropic Heisenberg models with long-range N\'eel order are well understood within the framework of the spin-wave theory, even in the extreme quantum spin-1/2 case on the square lattice, as exemplified by La$_2$CuO$_4$.\cite{INS_LaCu2O4_2001,INS_LaCu2O4_201...
1,314,259,996,296
arxiv
\section{Introduction} A wireless channel is open to inputs from anybody operating on the same frequency. Therefore communication has to be protected against deliberate jamming. This means that communication protocols have to be devised whose application enables reliable data transmission even if attacked by a jammer....
1,314,259,996,297
arxiv
\section{Introduction} \begin{center} \begin{figure} \includegraphics[scale=0.82]{porta.png} \caption{Front cover. 1512 edition.} \vspace*{1cm} \end{figure} \begin{figure} \includegraphics[scale=0.7]{contra.png} \caption{Table of Contents. 1512 edition.} \end{figure} \end{center} The first edition of Fray Juan de ...
1,314,259,996,298
arxiv
\section{Introduction} In~\cite{EscardoSimpson:UniCCEI}, Escard\'{o} and Simpson prove a universal property for the real interval $[-1,1]$, using a theory they develop of \emph{midpoint algebras}: sets equipped with a binary operation that, abstractly, provides the midpoint of any two elements. In an \emph{iterativ...
1,314,259,996,299
arxiv
\section{Introduction} In this article we review the literature on lattice simulations for few- and many-body systems. \ We discuss methods which combine effective field theory with lattice methods and which can be applied to both cold atomic systems and low-energy nuclear physics. \ Several recent reviews have alread...
1,314,259,996,300
arxiv
\section{Introduction} The {\small EINSTEIN}, {\small EXOSAT} and {\small ROSAT} observatories measured surface temperatures of certain neutron stars and put upper limits on the surface temperatures of others ( cf. Ref.~\cite{steuk} and further references therein). Data on the supernova remnants in 3C58, the Crab, and...
1,314,259,996,301
arxiv
\section{Introduction and preliminaries} Let $\A$ denote the family of analytic functions $f$ of the form \beq\label{inteq0} f(z)= z+\sum_{n=2}^{\infty}\, a_n\,z^n \eeq with $f(0)=0$ and $f^{\prime}(0)=1$ in the open unit disc $\D =\{z:\, |z|<1\}$ of the complex plane.\\ Let us denote by $\es,$ the class of al...
1,314,259,996,302
arxiv
\section{Introduction} One of the most fundamental discoveries in observational cosmology showed that the universe is not only expanding but it does at an accelerated rate \cite{nature}. As the source of this expanded acceleration remains unknown, several candidates have been proposed to account for it. They include,...
1,314,259,996,303
arxiv
\section{Introduction} The effective field theory approach, {\em i.e.}~the description of a system through the lowest dimension operators compatible with the underlying symmetries, has been very fruitful in many areas, from particle physics to condensed matter. The purpose of this paper is to apply this methodology to ...
1,314,259,996,304
arxiv
\section{Introduction} Given a group $G$ and a symmetric generating set $S \subseteq G\setminus\{1\}$, the Cayley graph $\unCayley{G}{S}$ is the simple unoriented graph with vertex set $G$ and an edge between $g$ and $h$ precisely when $g^{-1}h \in S$. By construction, the action by left-multiplication of $G$ on itself...
1,314,259,996,305
arxiv
\section{Introduction} Suppose a matrix $D\in\mathbb{R}^{m\times n}$ is of the form $D = L^0 + S^0$, where $L^0$ is a low-rank matrix, i.e. $\mathop{\bf rank}(L^0)\ll\min\{m,n\}$, and $S^0$ is a sparse matrix. The matrix $S^0$ is interpreted as gross errors in the measurement of the low rank matrix $L^0$. Wright et al...
1,314,259,996,306
arxiv
\section{Introduction} Critical gravity was introduced in \cite{PopeLu1} where the following four-dimensional action was considered: \beq S=\dfrac{1}{2\kappa^2}\int \sqrt{-g}\,d^4x \,(R-2\Lambda + b_1\, R_{\mu\nu}R^{\mu\nu} + b_2\,R^2) \eeq{S1} where $R$ is the Ricci scalar, $\Lambda$ the cosmological constant,...
1,314,259,996,307
arxiv
\section{Introduction} \label{introduction} Natural Language Inference (NLI) is the problem of categorizing a hypothesis into entailment, contradiction, or neutral based on the given premise \cite{DBLP:series/synthesis/2013Dagan}. Large language models such as BERT \cite{devlin-etal-2019-bert}, RoBERTa \cite{DBLP:jour...
1,314,259,996,308
arxiv
\section{Our Model} In this section, we will describe our proposed Influence Self-embedding for Heterogeneous Network Embedding framework. The basic idea of ISHNE is to project every node into different meta-path based embedding space. To achieve this, local proximities and individual influence of each node are calc...
1,314,259,996,309
arxiv
\section{Introduction} Sustainable Development (SD) is an interdisciplinary field which studies the integration and balancing of economic, environmental and social concerns to tackle the broad goal of achieving inclusive and sustainable growth~\cite{brundtland1987our,keeble1988brundtland,sachs2015age}. As a collective...
1,314,259,996,310
arxiv
\section{Introduction} \label{sec:intro} This paper considers \emph{Imitation Learning from Observation Alone (ILFO)}. In ILFO, the learner is presented with sequences of states encountered by the expert, {\em without} access to the actions taken by the expert, meaning approaches based on a reduction to supervised lea...
1,314,259,996,311
arxiv
\section{Introduction} \label{sec:intro} Granular materials have been paid more and more attention recently, such as sand, grains, snow, et al. Compared to the molecular particles modeled with elastic collision, the granular gases behave quite differently due to the energy dissipation during collisions. Therefore, mo...
1,314,259,996,312
arxiv
\section{Introduction} Active matter refers to a class of non-equilibrium systems in which individual particles are self-propelled due to an irreversible consumption of energy. Their physics is relevant to systems ranging from biological to man-made materials~\cite{vicsek2012collective,romanczuk2012active,marchetti_hy...
1,314,259,996,313
arxiv
\section{Introduction} Radio polarisation observations of gravitational lenses provide important information about the properties of the lens as well as the background radio source. Such observations give two measurable quantities -- the degree and position angle (PA) of polarisation. Both are unaffected by the gravi...
1,314,259,996,314
arxiv
\subsection{Higgs boson mass spectrum} \label{subsec:MHiggsCalc} One of the main purposes of \FH is to provide predictions for the Higgs-boson masses in the~MSSM. The most direct approach is to calculate higher-order corrections to the propagators of the Higgs bosons performing a fixed-order Feynman-diagrammatic ca...
1,314,259,996,315
arxiv
\section{INTRODUCTION} The spectrum of excited nucleon states reflects the dynamics of QCD in the non-perturbative regime. It has been studied for many years using $\pi$ beams. However, the spectrum of known nucleon resonances is in conflict with predictions from quark models \cite{isgur77,loring01}. Most obvious is th...
1,314,259,996,316
arxiv
\section{Introduction}\label{sec_intro} Hydro power plants generate electricity from potential energy and kinetic energy of natural water, and often a number of power plants are placed along a long river or a water body system to generate the power at different stages. Currently, hydro power is one of the most importa...
1,314,259,996,317
arxiv
\section{Introduction} The LMC has a rich star cluster system spanning a wide range of ages and masses. One striking feature of the LMC cluster system is the existence of an age gap between 3-10 Gyrs. Four LMC clusters whose integrated colours are consistent with those of intermediate age simple stellar populations...
1,314,259,996,318
arxiv
\section{Analyzing Image Quality Factors} \label{sec:quality_analysis} \subsection{Experiment Setup} \label{sec:experiment_setup} \modified{\textbf{Base Dataset}. Our base dataset consists of three real-world driving datasets: Audi~\citep{geyer2020a2d2}, Honda~\citep{ramanishka2018toward}, and SullyChen~\citep{...
1,314,259,996,319
arxiv
\section*{Introduction} Let an algebraic torus $T$ act on a normal, algebraic variety $X$. It is an open problem in Geometric Invariant Theory to describe the collection of all $T$-invariant open subsets $U \subseteq X$ admitting a geometric quotient $U \to U/T$ with a complete orbit variety $U/T$. Several construc...
1,314,259,996,320
arxiv
\section*{} \vspace{-1cm} \footnotetext{\emph{$^{a}$ Center for Free-Electron Laser Science, Deutsches Elektronen-Synchrotron DESY, 22607 Hamburg, Germany}}% \footnotetext{\emph{$^{b}$ Center for Ultrafast Imaging, Universität Hamburg, 22761 Hamburg, Germany}}% \footnotetext{\emph{$^{c}$ Department of Phys...
1,314,259,996,321
arxiv
\section{Introduction} Turbulence is the most common fluid state of motion and is inherent in a large number of natural and physical phenomena. The physics of turbulence can be modelled mathematically by the Navier-Stokes (NS) equations under the continuum limit. These equations are highly non-local and non-linear and ...
1,314,259,996,322
arxiv
\section{Introduction} \label{sec:intro} The Clifford group and the closely associated stabilizer formalism \cite{Gottesman97:thesis,Gottesman98} are a central notion in quantum computation and many related areas. The Clifford group on $n$ qubits is defined as the normalizer of the $n$-qubit Pauli (aka discrete Weyl) ...
1,314,259,996,323
arxiv
\section{Introduction} Bone is a complex tissue that is being repaired and rebuilt continuously throughout an individual's life. The process of bone remodeling consists of two subprocesses: the resorption of old bone and the formation of new bone. In the past decades it has become clear that, at the cellular level, bon...
1,314,259,996,324
arxiv
\section{Introduction} In 1986, Celis {\it{et al}} \cite{CelisT,Celis} introduced the Robin Hood collision resolution strategy for open addressing hash tables. Under this discipline, collisions are decided in favor of the element that is farthest from its home location. While this does not change the expected search c...
1,314,259,996,325
arxiv
\section*{Methods} \noindent\textbf{Sample Selection} The {\it low-resolution sample} is selected from a comprehensive sample of common sources of LAMOST and KIC. The total amount of common giant stars between this two datasets is $\sim 42,000$. Among those common sources, about $80\,\%$ are observed in an intense ...
1,314,259,996,326
arxiv
\section{Introduction} Constrained learning is ubiquitous in statistical tasks when seeking to impose desired structure on solutions. Concretely, consider the task of estimating a parameter $\bx\in\bbR^d$ by minimizing some loss function $f(\bx)$ where $\bx$ needs to satisfy a set of constraints encoded by a set $\cal...
1,314,259,996,327
arxiv
\section{Introduction} \label{Int} \onehalfspacing The Consistent Histories (CH) framework provides a formulation of quantum mechanics that assigns probabilities to histories of all kinds of systems, microscopic and macroscopic, using a single universal machinery and without ``Heisenberg cuts'' or references to measure...
1,314,259,996,328
arxiv
\subsection{Data} We train our model using high-fidelity DNS data of a three-dimensional, statistically stationary, isotropic turbulent flow with Taylor-Reynolds number $R_\lambda = 90$, solved on a cubic domain with $128$ grid points in each direction. More details on the DNS can be found in our previous works (\ci...
1,314,259,996,329
arxiv
\section{Introduction} Many Dark Matter direct detection experiments aim to observe Dark Matter (DM) through an excess of nuclear recoils (NRs) caused by Weakly Interacting Massive Particles (WIMPs) scattering off nuclei from a target material~\citep{Drukier:1984vhf, Goodman:1984dc, Drukier:1986tm,Billard:2021uyg}...
1,314,259,996,330
arxiv
\section{Introduction} Hamilton decomposability of line graphs has been studied extensively. The {\em line graph} of a graph $G$, denoted by $L(G)$, is the graph with a vertex corresponding to each edge of $G$, and in which two vertices are adjacent if and only if their corresponding edges are adjacent in $G$. A {\em ...
1,314,259,996,331
arxiv
\section{Introduction} Palatini formalism is causing great interest in the study of non-perturbative quantum gravity\cite{Ash}\cite{romano}\cite{AL}, modified gravity theories\cite{Fla}\cite{Vol} and their cosmological applications\cite{MW}\cite{Kre}. Also, spacetime reduction is very important in any high dimensional ...
1,314,259,996,332
arxiv
\section{Introduction} Within the past twenty years, many different declarative semantics for logic programs with negation have been developed. Different perspectives on the question what properties a semantics should foremost satisfy, have led to a variety of diverse proposals. From a knowledge representation and rea...
1,314,259,996,333
arxiv
\section{Introduction} We are currently witnessing the beginning of a new era in gravitational physics ignited by the consolidation of multimessenger astronomy, namely, astronomy with different carriers: electromagnetic radiation (now including shadows), gravitational waves, neutrinos and cosmic rays. The fields of gr...
1,314,259,996,334
arxiv
\section*{Introduction} There is assuredly a long tradition of scholarship in the description of sex roles on mass media of various types: already in her seminal review, Linda \cite{busby1975sex} described how instructional material, TV, films, advertising, newspaper, cartoons and literature have been used since the l...
1,314,259,996,335
arxiv
\section{Introduction} \IEEEPARstart{M}{odern} distribution grids are characterized by the rapidly increasing penetration of DERs, especially photovoltaics (PVs) and battery storage systems. Reverse power flows and a greater ratio of fluctuating generation at the local level require the real-time efficient and secure ...
1,314,259,996,336
arxiv
\section{Introduction} The study of the equilibrium shapes and the corresponding excitation spectra of atomic nuclei is one of the recurrent themes in nuclear structure physics. Most of the deformed medium-heavy and heavy nuclei exhibit reflection-symmetric ground states. However, in some regions of the nuclear ...
1,314,259,996,337
arxiv
\section{Introduction}\label{sec:INTRODUCTION} \subsection{Background and motivation} A canonical setup for parallel-server systems consists of $N$ identical servers, each with a dedicated queue. Tasks arrive into the system as a Poisson process of rate $\lambda(N)$ and must be assigned to one of the queues instantan...
1,314,259,996,338
arxiv
\section{ Definitions. Notations. Previous results. Statement of problem.} \vspace{4mm} \ Let $ \ (\Omega, \ B, \ {\bf P} ) \ $ be certain probability space with non - trivial probability measure $ \ {\bf P} \ $ and correspondent expectation $ \ {\bf E}, \ $ and let $ \ \xi = \xi(\omega), \ \omega \in ...
1,314,259,996,339
arxiv
\section{Introduction} \label{sec:intro} Due to their ability to represent complex functions, neural networks are well-suited to perform control tasks in complicated and high-dimensional problem settings \cite{mnih2015human, pan2017agile}. Proposed autonomous aviation systems, for instance, use neural netw...
1,314,259,996,340
arxiv
\section{Introduction}\label{sec:s1} High quality denoising is one of the main challenges in image processing. It tries to achieve suppression of noise while capturing and preserving edges and fine structures in the image. A huge number of publications related to a variety of denoising\ methods (see, for example the r...
1,314,259,996,341
arxiv
\section{Introduction} Deep convolutional neural networks (ConvNets)~\citep{He2015a,Xie2016c,Redmon2016,He2017} have demonstrated excellent performance across a broad spectrum of computer vision tasks, such as image classification~\citep{He2015a}, semantic segmentation~\citep{Ronneberger2015,Chen2014}, image restorati...
1,314,259,996,342
arxiv
\section{Introduction} Electron and photon triggers play an essential role at the LHC. They select, for example, events containing $W \rightarrow e\nu$ and $Z \rightarrow ee$ decays, processes that are important on their own right to test the Standard Model and to calibrate the experimental apparatus but can also be p...
1,314,259,996,343
arxiv
\section{Introduction} Quantitative assessment of brain tumors provides valuable information and therefore constitutes an essential part of diagnostic procedures. Automatic segmentation is attractive in this context, as it allows for faster, more objective and potentially more accurate description of relevant tumor p...
1,314,259,996,344
arxiv
\section{Introduction} \label{intro} Searching for DAMA with WIMP is an interesting question from both theoretical \cite{jung} and experimental sides. A considerable experimental work are in progress to measure DAMA-nucleus interaction in differe...
1,314,259,996,345
arxiv
\section{Introduction} The interaction of the $\Sigma$ hyperon with nuclear matter may be represented by the complex single particle (s.p.) optical model potential $U_\Sigma=V_\Sigma-iW_\Sigma$. In this paper we present our attempts to determine $V_\Sigma$ and $W_\Sigma$. We also point out the most realistic two-body ...
1,314,259,996,346
arxiv
\section{\textbf{Introduction}} All rings considered in this paper will be commutative and Noetherian and will have non-zero identities; $R$ will always denote such a ring. The Cousin complex is an effective tool in commutative algebra and algebraic geometry. The commutative algebra analogue of the Cousin complex of \...
1,314,259,996,347
arxiv
\section{Introduction} The equations of motion of a nonspinning test particle around a Kerr black hole are fully integrable because of the existence of four conserved quantities: rest mass, energy, angular momentum and the Carter constant \cite{carter68}. The axisymmetry of spacetime drives the geodesic orbits to fill...
1,314,259,996,348
arxiv
\section{Motivation} Interests in machine learning (ML) and deep learning (DL) have been increasing in recent years. Similarly, the number of learning resources, including textbooks, blogs, online courses, and video tutorials, is growing rapidly as well. This is a great development, and one might say that getting into...
1,314,259,996,349
arxiv
\section{Introduction} \subsection{A class of continuous optimization problems} Many tasks particularly in low-level computer vision can be formulated as optimization problems over mappings $u : \Omega \to \Gamma$ between sets $\Omega$ and $\Gamma$. The energy functional is usually designed in such a way that the mi...
1,314,259,996,350
arxiv
\section{Introduction} The project which we initiated eighteen months ago to study the gluon excitations of the QCD vacuum in the presence of a static quark-antiquark source has two distinct goals. Our first objective was to determine the spectrum of hybrid $\mathrm c\bar c g$ and $\mathrm b\bar b g$ states with resul...
1,314,259,996,351
arxiv
\subsection{0pt}{12pt plus 4pt minus 2pt}{4pt plus 2pt minus 2pt} \begin{document} \maketitle \begin{abstract} How we choose to represent our data has a fundamental impact on our ability to subsequently extract information from them. Machine learning promises to automatically determine efficient representations from ...
1,314,259,996,352
arxiv
\section{Conclusion}\label{sec:conclusion} In this paper, we have studied the problem of finding similar documents with respect to technical content. To do that, we proposed a hybrid approach which employs the graph representation techniques and sentence embedding. Using the graph-of-words representation of a document ...
1,314,259,996,353
arxiv
\section{Supplementary Information} The supporting information contains all tabulated results, \gls{ML} model and compute details, \gls{DFT} calculation details, details on the relaxation constraints, inflated \gls{ML} success rates, model constraint counts, and additional results on configuration analysis and random b...
1,314,259,996,354
arxiv
\section{Introduction} A {\em proper $k$-coloring}, or simply $k$-{\em coloring}, of a graph $G = (V, E)$ is a function $f:V \rightarrow \{1,2,\dots,k\}$ such that for each $uv \in E$, $f(u) \neq f(v)$. A graph $G$ is $k$-{\em colorable} if there exists a $k$-coloring of $G$. The {\em chromatic number}, $\chi(G)$, of ...
1,314,259,996,355
arxiv
\section{Hyperparameters in Algorithm~\ref{alg:vomps}} Hyper-parameters are presented below in the order of four main components--- updating the critic, the density ratio, the emphatic weights, and the actor. $\alpha_{\nu} \in [0,1]$ is the stepsize in the critic update; $\alpha_{\psi} \in [0,1]$ is the stepsize in the...
1,314,259,996,356
arxiv
\section{Introduction} Capacities (non-additive measures, fuzzy measures) were introduced by Choquet in \cite{Ch} as a natural generalization of additive measures. They found numerous applications (see for example \cite{EK},\cite{Gil},\cite{Sch}). Capacities on compacta were considered in \cite{Lin} where the importan...
1,314,259,996,357
arxiv
\section{Introduction} Quantum algorithms for optimization are of general interest. On the one hand, optimization algorithms have wide applications in machine learning, signal processing, combinatorial optimization, and many other areas. On the other hand, it is crucial in quantum computing research to figure out the ...
1,314,259,996,358
arxiv
\section{Introduction} \label{S:1} The triboelectric effect or contact electrification is an experimentally proven phenomenon \cite{Sow2012}. Its occurrence in conducting materials can be explained by electron transfer resulting from the difference in work functions or Fermi levels of the contacting metals. That is, el...
1,314,259,996,359
arxiv
\section{Introduction}\label{sec:intro} The idea that reaction-diffusion phenomena is essential to the growth of living organisms seems quite intuitive. Indeed, it would be rather hard to envision how any organism could grow and operate without moving its constituents around and using them in various bio-chemical reac...
1,314,259,996,360
arxiv
\section{Introduction} \label{S1} In contrast to young open clusters and star-forming regions, which have been proved to be simple stellar populations \citep[SSPs. e.g.,][]{deSi09a,Brag12a,Brag14a,Ting12a,Kos21a}, most globular clusters (GCs) and some intermediate-age clusters (older than $\geq$2 Gyr) are multiple stel...
1,314,259,996,361
arxiv
\section{Introduction} With the constantly growing mobile data demand for future wireless communication systems, i.e., 5th Generation (5G), it becomes more and more difficult to allocate a wide and contiguous frequency band to each user equipment (UE) and base station (BS). This has brought about increasing scarcity i...
1,314,259,996,362
arxiv
\section{Introduction } \setcounter{equation}{0} Modern harmonic analysis was introduced in the '50s, with the Calder\'on--Zygmund theory at the heart of it. This theory established criteria for singular integral operators to be bounded on different scales of function spaces, especially the Lebesgue spaces $L^p$, $1 ...