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2,869,038,154,328
arxiv
\section{Introduction} Mie resonances have recently triggered significant interest in the field of nanophotonics due to their unique optical properties,\cite{kuznetsov2016optically} which can lead to novel optical devices such as super-cavities,\cite{rybin2017optical} optical sensors,\cite{yesilkoy2019ultrasensitive} ...
2,869,038,154,329
arxiv
\section{Introduction} Major objective of the neural text-to-speech (TTS) research is generating a natural voice that corresponds to a given sentence. Neural TTS models have become the mainstream in modern TTS research because they can synthesize natural sounding speech and comparable synthetic quality \cite{wang2017...
2,869,038,154,330
arxiv
\section{INTRODUCTION} According to modern cold dark matter cosmology, galaxies are hierarchically assembled by the merging or accretion of small fragments~\citep{Bau96,Kly99,Moo99,Diemand2007}. In this theory, the stellar halo of galaxies, such as the Milky Way, are mostly built up from small substructures such as sat...
2,869,038,154,331
arxiv
\section{Introduction} Human action recognition has many applications in smart surveillance, human-computer interaction and sports. The Kinect and other depth cameras have become popular for this task because depth sequences do not suffer from the problems induced by variations in illumination and clothing texture. How...
2,869,038,154,332
arxiv
\section{Introduction} V391~Peg was the first case of a post-red giant branch star showing evidence of the presence of a planet (\citealt{silvotti07} (hereafter SSJ07), \citealt{silvotti08}), indicating that giant planets may survive the first giant expansion of a star, provided that the orbital distance is large e...
2,869,038,154,333
arxiv
\section*{Acknowledgments} We would like to thank all members of the Information Field Theory group at MPA for many useful discussions in particular, and alphabetical order: Philipp Arras, Jakob Knollm\"uller, Daniel Pumpe, Reimar Leike and Martin Reinecke. \newpage \subsection{German Internet} In 1992 \todo{find c...
2,869,038,154,334
arxiv
\section{Introduction} \label{sec:Introduction} Linear codes codes have attracted much attention from researchers ever since the first days of Information Theory, as a mean of approaching the capacity of additive discrete memoryless channels (DMC) with a reasonable encoding and decoding complexity. Interestingly, l...
2,869,038,154,335
arxiv
\section{Introduction} The well-known Josephson Relation\cite{Josephson} (JR) relates applied electric and magnetic fields to motion of the Abrikosov vortex lattice in a thin superconducting sample. Taking a simple form, \begin{equation} \label{JR} \langle \Ep \rangle = -\frac{1}{c} \vl \times \langle \Bloc \rangle, ...
2,869,038,154,336
arxiv
\subsection{Conditional Autoregressive Prior for Player-Specific Coefficients} \label{subsec:CAR} Sharing information between players is critical for our estimation problem, but standard hierarchical models encode an assumption of exchangeability between units that is too strong for NBA players, even between those who...
2,869,038,154,337
arxiv
\section{Introduction} For a hypersurface $\Omega_0$ given by an embedding $\tilde{\bm{X}}_0:M^n\rightarrow\mathbb{R}^{n+1}$, where $M^n$ is an $n$-dimensional manifold, its weighted-volume preserving curvature flow is a family of hypersurfaces $\left\{\Omega_t:t\in[0,T)\right\}$, $T>0$, such that $\Omega_t=\bm{X}\left...
2,869,038,154,338
arxiv
\section{Introduction} Let $b_t(x)$ be a vector-valued function from $\mathbb{R}^{d}$ into $\mathbb{R}^d$ and $\sigma_{t}(x)=[\sigma_{t,1}(x),\ldots,\sigma_{t,r}(x)]$ be a matrix-valued function from $\mathbb{R}^{d}$ into $\mathbb{R}^{d\times r}$, for some parameters $d,r\geq 1$. Both functions will be assumed t...
2,869,038,154,339
arxiv
\section{Introduction} Inclusive lepton scattering has for many decades been the most important tool for probing the internal quark and gluon (or parton) structure of nucleons and nuclei. Structure functions extracted from inclusive deep-inelastic scattering (DIS) experiments display the central features of quantum c...
2,869,038,154,340
arxiv
\section{Introduction} Abundances of heavy elements (metallicities) in the interstellar medium (ISM) of galaxies are enriched by stellar nucleosynthesis and trace star formation histories and gas-flow processes that ultimately shape the galaxy population. In particular, the spatial distribution of metallicity offers a...
2,869,038,154,341
arxiv
\section{Introduction} Anomaly-free effective models of loop quantum gravity, derived for spherically symmetric configurations \cite{JR,HigherSpatial} and cosmological perturbations at high density \cite{ScalarHol,ScalarHolInv}, have revealed an unexpected phenomenon: At large curvature, signature change appears to be...
2,869,038,154,342
arxiv
\section{Introduction} \glsaddall With the increasing integration of renewable sources into the electrical grid, accurate forecasting of renewable source generation has become one of the most important challenges across several applications. Among them, balancing the electrical grid via activation of reser...
2,869,038,154,343
arxiv
\section{Introduction} \subsection{Selection-mutation-competition models}\label{subsec:sel-mut-comp} \gr{The phenotypic diversity of a species impacts its ability to evolve. In particular, the importance of the variance of the population along a phenotypic trait is illustrated by the \emph{fundamental theorem of nat...
2,869,038,154,344
arxiv
\section{Introduction} Wave breaking occurs at the ocean surface at moderate to high wind speed, with significant impacts on the transfer of momentum, energy, and mass between the ocean and the atmosphere \citep{MELVILLE1996,DEIKE2022}. When waves break, the water surface overturns, which generates sea spray and largel...
2,869,038,154,345
arxiv
\section{Introduction} Following the pioneering work of Gupta and Kumar \cite{Gupta00}, scaling laws for \emph{throughput} have been extensively studied in the literature, e.g., \cite{Gamal06a, Gamal06b, Grossglauser02, Neely05, Sharma06} which studied dense and extended networks considering static and mobile nodes. Th...
2,869,038,154,346
arxiv
\section{Introduction} \subsection{Gravity and renormalizability} It is a well know fact that general relativity is not a renormalizable theory. This means that, successful as is may be as a classical theory of gravity, it should be viewed as an effective theory that breaks down at some scale. Beyond that scale genera...
2,869,038,154,347
arxiv
\section{Introduction} Deep neural networks (DNNs, e.g., \cite{lecun2015deep,He2016DeepRL}), properly trained via empirical risk minimization (ERM), have been demonstrated to significantly improve benchmark performances in a wide range of application domains. However, minimizing empirical risk over finite or biased da...
2,869,038,154,348
arxiv
\section{Introduction} Modeling count data is an interesting topic in variety fields of applied sciences, such as actuarial sciences, economics, sociology, engineering, etc. In many practical situation the popular classical Poisson regression model fails to model count data which exhibit overdispersion (i.e., the ...
2,869,038,154,349
arxiv
\section{Electronic Submission} \label{submission} Submission to ICML 2023 will be entirely electronic, via a web site (not email). Information about the submission process and \LaTeX\ templates are available on the conference web site at: \begin{center} \textbf{\texttt{http://icml.cc/}} \end{center} The guidelines b...
2,869,038,154,350
arxiv
\section{Introduction} In recent years there is an increasing interest in using non-classical entangled states of continuous variable systems in applications of quantum information processing, communication and computation \cite{bra1}. In this respect, Gaussian states, in particular two-mode Gaussian states, play a ke...
2,869,038,154,351
arxiv
\section{Introduction}\label{sec1} The generalized-$\alpha$ method is a family of time integration schemes that, for a particular choice of method parameters, is second-order accurate, is unconditionally stable, and exhibits an optimal combination of accuracy in the low-frequency range and damping in the high-frequen...
2,869,038,154,352
arxiv
\section{Introduction} The phase retrieval problem refers to the recovery of the phase of a function $f$ from known data from the magnitude of $f$ and some constraints on $f$ usually expressed in terms of properties of some transforms of $f$. A typical example consists in the recovery of $f$ from $|f|$ and the knowled...
2,869,038,154,353
arxiv
\section{COPYRIGHT AND CLEARANCE} \input{sec-introduction} \input{sec-methodology} \input{sec-problem} \input{sec-inputs} \input{sec-architecture} \input{sec-datasets_metrics} \input{sec-future_direcs} \input{sec-conclusion} \bibliographystyle{ACM-Reference-Format} \section{COPYRIGHT AND CLEARANCE} \input{sec-in...
2,869,038,154,354
arxiv
\section{Introduction} Determining the alignment of a group of biological sequences is among the most common problems in computational biology. The dynamic programming method of pairwise sequence alignment can be readily extended to multiple sequences but requires the computation of an $n$-dimensional matrix t...
2,869,038,154,355
arxiv
\section{Introduction} Clusters of galaxies are highly biased peaks of the underlying dark matter distribution, allowing us to study the large-scale structure of our Universe. Because their growth is directly influenced by cosmology, we can also use them to test cosmological models with a cluster survey, which ha...
2,869,038,154,356
arxiv
\section{Introduction}\label{sec:intro} A classical result on Hamilton cycles is Dirac's theorem \cite{dirac} which states that if $G$ is a graph on $n \geq 3$ vertices with minimum degree $\delta(G) \geq n/2$, then $G$ contains a Hamilton cycle. Ghouila-Houri \cite{ghouila} proved an analogue of Dirac's theorem for d...
2,869,038,154,357
arxiv
\section{Introduction} \label{intro} Directional statistics is the subdiscipline of statistics used to study directional observations that can be represented as unit vectors in Euclidean space. The sample space of a directional variable denoted by a unit vector in $\mathbb{R}^p$ is the surface of an $(p-1)$ dimensional...
2,869,038,154,358
arxiv
\section{Introduction} By a measurable dynamical system (MDS), we mean $\left(X,\mathcal{B},\mu,(T_{g})_{g\in G}\right)$, where $\left(X,\mathcal{B},\mu\right)$ is a probability space and for each $g\in G$, $T_{g}:X\to X$ is an invertible and measure preserving transformation. For an MDS $\left(X,\mathcal{B},\mu,(T_{g...
2,869,038,154,359
arxiv
\section{Introduction} Recall that a \emph{quasi-order} is a binary relation which is reflexive and transitive. A well-studied quasi-order over the Baire space $\mathbb N^{\mathbb N}$ is the binary relation $\le^*$ which is defined by letting, for any two elements $\eta:\mathbb N\rightarrow\mathbb N$ and $\xi:\mathbb ...
2,869,038,154,360
arxiv
\section{Introduction} \label{sec:intro} Far-field speech recognition is still a challenging problem because only a limited number of far-field speech corpora are available~\cite{microsoft_noise,VOiCES,acoustic_matching}. Unlike near-field speech, which is recorded close to the speaker, far-field speech may contain st...
2,869,038,154,361
arxiv
\section{Introduction} Since the prediction of the $\pi$-meson by Yukawa \cite{Yukawa35}, the long-standing question has been whether a mesonic nuclear bound state exists, {\it{i.e.}}, whether a meson forms {\it a quantum state} at an eigen-energy $E_{M}$ below the intrinsic mass $m$ without promptly vanishing in...
2,869,038,154,362
arxiv
\section{Introduction}\label{S:1} Given a complete filtered probability space $\big(\Omega,\mathcal{F},\{\mathcal{F}_t\}_{t\geq0},P\big)$ satisfying the usual conditions, we consider the existence and uniqueness of strong solutions of a class of stochastic differential equations (SDEs) in $\mathbb{R}^d$, viz. \begin{eq...
2,869,038,154,363
arxiv
\section*{Introduction} A celebrated consequence of Waldhausen's theorem on Haken $3$--manifolds \cite{Waldo} is that the fundamental group of the complement, endowed with a peripheral system, forms a complete invariant of links in the 3-sphere up to ambient isotopy. The peripheral system is the data, for each compone...
2,869,038,154,364
arxiv
\section{Introduction} The observation of high principal quantum number Rydberg excitons in cuprous oxide~\cite{Kazimierczuk2014} (Cu$_{2}$O) has brought about renewed interest~\cite{Thewes2015,Gruenwald2016,Walther2018a,Zhang2018,Heckoetter2020a} in the material. A major motivation is the potential to combine long-ra...
2,869,038,154,365
arxiv
\section{Introduction: Fourier Analysis of Boolean Functions} We are concerned with \emph{Boolean-valued} functions $f:\{-1,1\}^{n}\rightarrow \{-1,1\}$ which form a subset of \emph{Boolean} functions $f:\{-1,1\}^{n}\rightarrow \mathbb{R}$. Every Boolean function $f:\{-1,1\}^{n}\rightarrow \mathbb{R}$ has a unique \emp...
2,869,038,154,366
arxiv
\section{Introduction} With the applications in mobile phone unlocking, access control, payment tool and other security scenarios, biometric systems are widely used in our daily lives. Among the most popular biometric modalities, fingerprint and face play vital roles in numerous access control applications. However, se...
2,869,038,154,367
arxiv
\section{Introduction} \label{intro} Since the first detection of the afterglows \citep{cos97,par97,fra97} and the host galaxies \citep{blo98,blo99,fru99b} of gamma-ray bursts (GRBs), by now it has well been established that long-duration GRBs are cosmological events occurring in star-forming galaxies \citep[and ref...
2,869,038,154,368
arxiv
\section{Introduction} The majority of stars do not form in isolation but in environments where stellar densities are higher than in the Galactic field \citep{RN25, RN59}. Depending on the initial conditions in these star-forming regions, they either evolve into bound clusters or unbound groups. Most stars born in clu...
2,869,038,154,369
arxiv
\section{Introducation:-} It is expected that space-time will have quantum fluctuations in it$[1]$. These fluctuations are expected to dominate as we measure the space-time at smaller and smaller lengths. Finally being one at Planck length $[2]$. Thus space-time get a foam like structure near Planck length. This is cal...
2,869,038,154,370
arxiv
\section{Introduction} \label{sec:introduction} Magnetic resonance~(MR) imaging has been widely utilized to diagnose patients, as it is non-ionizing, non-invasive, and has a range of contrast mechanisms. However, MR images do not directly provide electron density information, which is essential for some applications su...
2,869,038,154,371
arxiv
\section{Introduction} Let $G$ be a Lie group and $(\pi,E)$ be a Banach representation of $G$, that is, a morphism of groups $\pi: G \to \GL(E)$ such that the orbit maps $$ \gamma_v: G \to E, \ \ g\mapsto \pi(g)v ,$$ are continuous for all $v\in E$. \par We say that a vector $v$ is $k$-times differentiable if $\...
2,869,038,154,372
arxiv
\section{Introduction} One of the most important ideas in modern stable homotopy theory is the notion of a structured ring spectrum, an enhancement of the representing object for a multiplicative cohomology theory. A structured ring spectrum is a spectrum equipped with a homotopy-coherent multiplication; classically ...
2,869,038,154,373
arxiv
\section{Introduction} \label{introduction} Combinatorial optimization problems aim to find the optimal combination satisfying certain constraints. It is crucial to obtain combinatorial optimization problems quickly in practice. However, a computational explosion occurs when the number of combinations becomes enormous...
2,869,038,154,374
arxiv
\section{Introduction} \label{sec:intro} Exoplanets orbiting close to their host stars are subjected to the intense X-Ray (1$\sim$100$\rm\AA$) and Extreme Ultraviolet (100$\sim$912$\rm\AA$) radiation (hereafter XUV) from their host stars. Due to the intense XUV radiation, gas-rich planets are likely to suffer from hyd...
2,869,038,154,375
arxiv
\section{Introduction} We are concerned here with the fractional Hardy inequality in an arbitrary domain $\Omega\subsetneq \mathbb{R}^N$, which states that if $1<p<\infty$ and $0<s<1$ with $ps>1$, then \begin{align}\label{eq:hardy} \iint_{\Omega\times\Omega} \frac{|u(x)-u(y)|^p}{|x-y|^{N+ps} } \,dx\,dy \geq \mathcal D_...
2,869,038,154,376
arxiv
\section{Introduction}\label{sec:introduction} Consider the search for a pair of eyeglasses. Perhaps we look in the two or three most likely places without success, and resign ourselves to checking the top shelf of the refrigerator. However, particularly if the missing eyeglasses are ours, we know that the target may ...
2,869,038,154,377
arxiv
\section*{References}
2,869,038,154,378
arxiv
\section{Introduction}\label{Intro} We study some topological aspects of symplectomorphism groups along the line of \cite{Abr98, AM99, McDacs, LP04, ALP, AGK09, Buse11, LL16, LLW16, ALLP}, etc. We will address the topological behavior of the symplectomorphism groups as the form $\omega$ varies within the symplectic ...
2,869,038,154,379
arxiv
\section{Introduction} Type Ia supernova (SN~Ia) explosions play a critical role in regulating chemical evolution through the cycling of matter in galaxies. As supernovae (SNe) are the primary contributors of heavy elements in the universe, observed variations in their rates with redshift provide a diagnostic of meta...
2,869,038,154,380
arxiv
\section{Introduction} Graph-structured data are ubiquitous in the real-world applications, ranging from social networks, recommender systems, knowledge graphs to chemical molecules. Despite the effectiveness of Euclidean space for graph-related learning tasks, its ability to encode complex patterns is intrinsically l...
2,869,038,154,381
arxiv
\section{Introduction and preliminaries} \subsection{Background} This article is devoted to the study of two related notions that appear to be important in the analysis of dependent first order theories (theories without the independence property): strict independence and strict non-forking. We explore basic propert...
2,869,038,154,382
arxiv
\section{Introduction} In the recent past, the critical behavior of frustrated spin systems has been the subject of intensive theoretical, numerical and experimental studies (see \cite{plumer}\cite{aza1} and references therein and \cite{aza2}). However, there is still no definite conclusion about the nature of the phas...
2,869,038,154,383
arxiv
\section{Introduction} \label{sec:introduction} Photoelectron spectroscopy is a powerful tool for studying photoionization dynamics. Intense short laser pulses for the ionization, which easily drive multi-photon transitions, allow to observe effects in table-top experiments that otherwise would require synchrotron r...
2,869,038,154,384
arxiv
\section{Introduction} Over the past several years, conversational systems have become of increasing interest to the research community. Previously, interest in human-machine spoken language interaction had focused on goal-oriented dialog systems. Over that time, spoken dialog technologies were able to achieve a level ...
2,869,038,154,385
arxiv
\section{Introduction} Most of the present data on Neutrino Physics are consistent with the hypothesis of having only three active neutrinos. Nevertheless, there is a small subset of experiments which seem to require the presence of New Physics (NP). The first indication hinting at the presence of NP was provided by a...
2,869,038,154,386
arxiv
\section{\label{}} The recent isolation of single layers of carbon atoms\cite{graph1} has attracted growing attention in the transport properties of graphene-based devices. In these systems unconventional phenomena like the half-integer quantum Hall effect\cite{qhe} and the Klein tunneling\cite{klein} have been ob...
2,869,038,154,387
arxiv
\section{Introduction} \label{sec:intro} Boundary integral equation methods are useful for solving boundary value problems for linear, elliptic, partial differential equations ~\cite{guenther1996partial, kress1999linear}. Rather than solving the partial differential equation directly, one represents the solution as a ...
2,869,038,154,388
arxiv
\section{Introduction} Observing of the light diffused from a scattering sample is a widely used, well-known tool applied to the study of biophysical systems, colloidal suspensions, and complex fluids \cite{scheffold2007}. Homodyne dynamic light scattering and heterodyne detection are based on interference and, in par...
2,869,038,154,389
arxiv
\section{Introduction} The propagation of very low frequency (VLF) radio signals within the Earth-Ionosphere waveguide is strongly affected by changes of the solar UV, e. g., during the day/night slow variation or the rapid changes during a solar flare. The upper boundary of this waveguide is the D-region of the ion...
2,869,038,154,390
arxiv
\section{Introduction}\label{sec:intro} The last decades have seen dramatic advances in our knowledge of galaxy formation and evolution \citep{Giavalisco02,Renzini06,Silk12,Carilli13,Madau14,Naab17}. The global star-formation rate density (SFRD) has been found to rise during cosmic reionisation from $z \sim 10$, peak ...
2,869,038,154,391
arxiv
\section{Introduction} The Spitzer Space Telescope has revolutionized the observational characterization of exoplanets by detecting infrared emission from these objects; measurements have been reported for HD 209458b \citep{deming05a}, TrES-1 \citep{charbonneau05}, HD 189733b \citep{deming06}, and $\upsilon$ Andromeda...
2,869,038,154,392
arxiv
\section{Introduction} ML has recently been applied to accelerate the solution of optimization problems, with MILP being one of the most active research areas~\cite{bengio,kotary2021end,mazyavkina2021reinforcement}. A MILP is an optimization problem that involves both continuous and discrete variables, and aims to mini...
2,869,038,154,393
arxiv
\section{\@startsection {section}{1}{\z@}{+3.0ex plus +1ex minus +.2ex}{2.3ex plus .2ex}{\large\bf\boldmath}} \def\subsection{\@startsection{subsection}{2}{\z@}{+2.5ex plus +1ex minus +.2ex}{1.5ex plus .2ex}{\normalsize\bf\boldmath}} \def\subsubsection{\@startsection{subsubsection}{3}{\z@}{+3.25ex plus +1ex minus +....
2,869,038,154,394
arxiv
\section{Introduction} \label{sec:introduction} The origin of the dichotomy between radio-quiet and radio-loud objects is still a matter of debate: is it a question of {\it nature} or of {\it nurture}? Both intrinsic differences in the central engine and extrinsic differences in the surrounding medium have been con...
2,869,038,154,395
arxiv
\section*{Acknowledgements} This work was supported by the 'Data Modeling Community Engagement in Health Emergencies' project funded by the Bill \& Melinda Gates Foundation, including contributions from the Institute for Disease Modeling. The Sierra Leone Ebola Database (SLED) data utilized in this paper were accessed ...
2,869,038,154,396
arxiv
\section{Introduction} Molecules are natural quantum mechanical platforms where several atoms are interlinked via electronic bonds. The inherent coupling between the electronic transitions at optical frequencies and the mechanical nuclear motions (vibrons) at terahertz frequencies renders molecular systems ideal for t...
2,869,038,154,397
arxiv
\section{#1}\setcounter{equation}{0}} \newcommand{\subsectiono}[1]{\subsection{#1}\setcounter{equation}{0}} \newcommand{\zeta}{\zeta} \newcommand{\stackrel{>}{\sim}}{\stackrel{>}{\sim}} \newcommand{\stackrel{<}{\sim}}{\stackrel{<}{\sim}} \newcommand{\Lambda}{\Lambda} \newcommand{i}{i} \newcommand{j}{j} \def{\hbox...
2,869,038,154,398
arxiv
\section{Introduction} The need for AI accountability has spurred the development of many explainable AI (XAI) techniques~\cite{abdul2018trends, adadi2018peeking, arrieta2020explainable, guidotti2018survey, hohman2018visual}. However, current approaches tend to use rudimentary, off-the-shelf visualizations, such as ba...
2,869,038,154,399
arxiv
\section{Introduction} \begin{figure*} \centering \includegraphics[width=.9\linewidth]{figures/SFPull3.pdf} \caption{Overview of our approach. Features extracted from the input images are used to construct a 4D correlation volume. We initialize the SE3 motion field, $\mathbf{T}$, to be the identity at ever...
2,869,038,154,400
arxiv
\chapter{Extracting Parts of 2D Shapes Using Local and Global Interactions Simultaneously\label{ch1}} \author[S. Tari]{Sibel Tari\footnote{Work is supported in part by TUBITAK 108E015.}} \index{skeleton|see{medial axis}} \index{local symmetry|see{medial axis}} \index{energy!non-local|see{non-local}} \index{interaction...
2,869,038,154,401
arxiv
\section{Introduction} In recent years, there has been significant interest in studying estimation and control problems for quantum systems \cite{WM1,YK1,YK2,NY,JNP,NJP,GGY,MP1,MP2,YNJP,GJ,GJN,IRP1}. Linear quantum systems are an important class of quantum systems and have been of particular interest in this context \c...
2,869,038,154,402
arxiv
\section{Introduction} Over the last few years there has been increased experimental interest in double-pion production near threshold in several hadronic reactions. These include studies in pion--proton~\cite{CB} and proton--proton collisions~\cite{Heinz}, as well as in the \mbox{$pd\to\,^{3}\textrm{He}\,\pi\pi$}~\cit...
2,869,038,154,403
arxiv
\section{Introduction} A quantum integrable model is a vector space $V$ and an algebra $\B$ of commuting linear operators on $V$, called the Bethe algebra of Hamiltonians. The problem is to find eigenvectors and eigenvalues. If the vector space is a space of functions, then the Hamiltonians a...
2,869,038,154,404
arxiv
\section{Introduction} Variational estimation of the partition function has been one of the standard technic in statistical mechanics. For a two-dimensional (2D) classical lattice model defined by a transfer matrix $T$, the variational partition function per row is written as \begin{equation} \lambda = \frac{\langle V...
2,869,038,154,405
arxiv
\section{Introduction} Description logics have been designed as knowledge representation formalisms that have good computational properties \cite{BaaderCalvaneseMcGuinnessNardiPatelSchneider03}. Correspondingly, there has been a lot of research into the computational complexity of reasoning problems for different des...
2,869,038,154,406
arxiv
\section{INTRODUCTION} The utility of the Polyakov loop ${\cal P}$ makes finite temperature lattice gauge theory a natural place to study confinement. A key issue is the mechanism which drives the Polyakov loop expectation value to zero in the confined phase. In section 2, it is shown that a large external field coupl...
2,869,038,154,407
arxiv
\section{Introduction} Multimodality research is an emerging field of study which examines how communication builds on appropriate combinations of multiple modes of expression, such as natural language, illustrations, drawings, photography, gestures, layout and many more. Modern multimodality theory has developed a ba...
2,869,038,154,408
arxiv
\section{Introduction} Given a graph $G$, let $\calM(G)$ denote the set of perfect matchings in $G$. A classical theorem of Petersen \cite{petersen1891} states that every cubic bridgeless graph has at least one perfect matching, i.e.\ $\calM(G)\neq \emptyset$. Indeed, it can be proven that any edge in a cubic ...
2,869,038,154,409
arxiv
\section{Introduction.} On se place dans un domaine de Green $\Omega$ de ${\mathbb R}^n$, c'est-\`a-dire un domaine r\'egulier quelconque de ${\mathbb R}^n$ si $n\ge 3$, ou un domaine de compl\'ementaire non polaire si $n=2$. Rappelons que le noyau (ou fonction) de Green de $\Omega$ est une fonction sym\'etrique $G$ d...
2,869,038,154,410
arxiv
\section{Introduction} The Sun is a magnetically active star, filling the interplanetary space with a stream of charged particles called the solar wind \citep[see e.g. a recent review by][]{Verscharen2019}. The solar wind properties are far from being homogeneous, with strong variations in temperature, density, or int...
2,869,038,154,411
arxiv
\section{Introduction} \label{s_intro} While the free action of open string field theory \cite{NNW} is local in the sense that it involves not more than two derivatives of the string field, it is well known that the interaction term of Witten's string field theory \cite{Witten:1985cc} contains infinitely many derivati...
2,869,038,154,412
arxiv
\subsection{Rephasing scheme} \begin{figure*}[hbtp] \includegraphics[width=0.6\textwidth]{fig1} \caption{(color online). Experimental setup. (a) Two methods are used in creating spin-waves in an atomic ensemble. In the electromagnetically induced transparency (EIT) process, a weak probe pulse at single-photon leve...
2,869,038,154,413
arxiv
\section{Introduction} SWIFT J1729.9$-$3437 is a transient X-ray pulsar discovered during all-sky monitoring with the \emph{Swift} Burst Alert Telescope (BAT) on 2010 July 13 (Markwardt et al. 2010a). At the same time, \emph{Rossi X-ray Timing Explorer} (\emph{RXTE}) Proportional Counter Array (PCA) monitoring scans...
2,869,038,154,414
arxiv
\section{Introduction} \indent Les premiers r\'esultats en r\'esolution des singularit\'es sont \`a attribuer \`a Newton au XVII$^{\textup{\`eme}}$ si\`ecle et \`a Puiseux au XIX$^{\textup{\`eme}}$ si\`ecle. Leurs r\'esultats permettent de r\'esoudre les singularit\'es des courbes d\'efinies sur $\mathbb C$. En 1939, Z...
2,869,038,154,415
arxiv
\section{Discussion} We have demonstrated a StyleGAN2-based digitization approach using a non-linear 3DMM that can reliably generate high-quality normalized textured 3D face models from challenging unconstrained input photos. Despite the limited amount of available training data (only thousands of subjects), we have s...
2,869,038,154,416
arxiv
\section{Introduction} We are now sure, that QCD is the genuine theory of strong interactions. In the perturbative region at high momenta the theory excellently describes the totality of data. However at low momenta the perturbative theory fails. Firstly it is seen from the well known momentum dependence of the running...
2,869,038,154,417
arxiv
\section{Introduction and Framework} We consider the classical problem of computing a conditional expectation using a least-square Monte Carlo approach. To be more precise, let $(\Omega,\mathcal{F},\mathbb{P})$ be a probability space, $X:\Omega \to {\mathbb R}^d$ and $Y: \Omega \to {\mathbb R}^p$ be two random variabl...
2,869,038,154,418
arxiv
\section{Introduction} There is still very little known about the nature of the dark matter in the universe, besides that it is non-relativistic and interacts only weakly with the Standard Model. Whilst it is typically assumed that the dark matter consists of some as-yet undiscovered elementary particle, primordial bl...
2,869,038,154,419
arxiv
\section{Introduction} \label{intro} Suspension is an important mode for the transport of sediments by fluid flows. It occurs when the falling velocity of the particles is smaller than the turbulent velocity fluctuations, so that particles can remain suspended for a long time, trapped by turbulent eddies, before the...
2,869,038,154,420
arxiv
\section{Introduction} Accurate black-hole masses are necessary to understand the growth of black holes and their role in galaxy evolution. In nearby (\textless\ 100 Mpc) galaxies, it is possible to measure black-hole mass directly from \red{high spatial resolution observations of} the dynamics of stars and gas \citep...
2,869,038,154,421
arxiv
\section*{\refname}} \usepackage{subfigure} \theoremstyle{plain} \newtheorem{thm}{Theorem} \newtheorem{lem}[thm]{Lemma} \renewcommand{\ss}[1]{{\sf{#1}}} \DeclareMathOperator{\tr}{Tr} \newcommand{\bra}[1]{\langle#1|} \newcommand{\ket}[1]{|#1\rangle} \newcommand{\tn}[1]{^{\otimes #1}} \newcommand{\ensuremath{\mathcal}}...
2,869,038,154,422
arxiv
\section{Proof of Lemma 1} \label{app_lemma1} ACE in each cluster in (\ref{zsmj}) can also be written in the following form \begin{equation} \begin{split} z_{{mj}} = \norm{\overline{c}_{x_{mj}} - {x_{mj}} B_{mj}}_2^2 \label{zzz} \end{split} \end{equation} where $x_{mj}$ is a vector of elements of $C_{mj}$, $\bar ...
2,869,038,154,423
arxiv
\section{Introduction} The \textbf{causal dynamical triangulation} (CDT) was introduced by theoretical physicists Jan Ambj\o rn and Renate Loll as a discrete model of Lorentzian quantum gravity in which space and time play different roles \cite{AmLo98}. Time is represented by a partition of the $d+1$-dimensional model...
2,869,038,154,424
arxiv
\section{Introduction}\label{intro} \vspace{-2mm} In different areas of machine learning and signal \mbox{processing}, low-rank models have turned out to be a powerful tool for the acquisition, storage and computation of \mbox{information}. In many of these applications, an important sub-problem is to infer the low...
2,869,038,154,425
arxiv
\section{Introduction} Finding an accurate (semi-)analytical description of the infrared sector of QCD is still one of the most important challenges of present-day quantum field theory. In this work we concentrate on Yang-Mills theory, QCD without dynamical quarks, since it is in this sector where the peculiar propert...
2,869,038,154,426
arxiv
\section{Introduction} \begin{figure}[!ht] \centering \begin{subfigure}{1.0\columnwidth} \includegraphics[draft=false,trim={0 200px 0 200px},clip,width=\columnwidth]{figures/smoke_stable0027.jpeg} \end{subfigure} \\ \begin{subfigure}{1.0\columnwidth} \includegraphics[draft=false,trim={0 200px 0 200px...
2,869,038,154,427
arxiv
\section{Introduction} Magnetic skyrmions in chiral magnets are spin-swirling vortex-like matters as topologically defined by an integer winding number, and hence show versatile emergent electromagnetic responses \cite{review}. Because of possible electrical controls of skyrmions, such as ultralow current-density d...