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3,212,635,538,406
arxiv
\section{Introduction} In this talk we report our results on the electroexcitation of the Roper resonance ($P_{11}(1440)$) extracted from a large body of CLAS data on differential cross sections and polarized beam asymmetries for the process $ep\rightarrow en\pi^+$ in the range of invariant hadronic mass $W=1.15-1.69~G...
3,212,635,538,407
arxiv
\section{Introduction} Closed testing \citep{Marcus1976} is known to be a fundamental principle of familywise error rate (FWER) control in multiple hypothesis testing. Indeed, almost every well-known procedure controlling FWER has been shown to be a special case of closed testing, and many procedures have even been ...
3,212,635,538,408
arxiv
\section{Introduction} This paper contains a version of a generic identification theorem for simple groups of finite Morley rank adapted from the main result of \cite{BB04} by weakening its assumptions. It is published because it is being used in the authors' study of actions of groups of finite Morley rank \cite{BB...
3,212,635,538,409
arxiv
\section{Analysis of LEP data} \hspace*{\parindent} In this section we analyze data on ${\cal F}_2^{\gamma}$ in the light of the parametrization discussed in sections 3 and 4. Once we assume that the non-perturbative input can be determined within the framework of the Vector Dominance Model as explained in the precedin...
3,212,635,538,410
arxiv
\section{Introduction} The popularity of large, general-purpose text generation models has skyrocketed in recent years due to their outstanding performance across a wide range of natural language processing (NLP) tasks~\citep{NEURIPS2020_1457c0d6, JMLR:v21:20-074,xue-etal-2021-mt5}. These generative models come in tw...
3,212,635,538,411
arxiv
\section{Introduction}\label{sec:Introduction} Analyzing news stories have been pivotal for finding out some of the quantitative and qualitative attributes from text documents. A broad domain like news analytics incorporates the use of various text mining methods to analyze text. It applies methods from Natural Langua...
3,212,635,538,412
arxiv
\section{Introduction} \noindent The modern scattering amplitude program has a two\-fold purpose~\cite{Kosower:2016cph}. On the one hand, it aims to provide alternative computation techniques for particle phenomenology, more efficient than the textbook Feynman diagram perturbation theory. On the other hand, more ambit...
3,212,635,538,413
arxiv
\section{Introduction} At the highest collision energies the Large Hadron Collider (LHC) collides lead (Pb) nuclei with nucleon-nucleon center-of-mass energy $\sqrt{s_{NN}} = 5.5$ TeV. At these energies, central Pb-Pb collisions create a quark-gluon plasma (QGP) that has an initial central temperature of $T_0 \simeq ...
3,212,635,538,414
arxiv
\section{Introduction} Deep reinforcement learning (RL) is a promising approach to solve complex robotic manipulation tasks by enabling seamless integration of perception, decision-making, and control. Such methods can learn mappings from a variety of sensors to actions but may require millions of interactions to conve...
3,212,635,538,415
arxiv
\section{Introduction} A general trend in modern cosmological research is the implementation of more and more sophisticated statistical tools to perform data analysis. Indeed, as well-known cosmological data have reached over the last decade an unprecedented accuracy, so that it has become customary to speak about a g...
3,212,635,538,416
arxiv
\section{Introduction} Let $\Omega_T\subset \mathbb{R}^d$ be an increasing family of compact domains, and let $\mathcal{L}_d$ denote the space of lattices in $\mathbb{R}^d$ with covolume one, endowed with the unique $SL_d(\mathbb{R})$-invariant probability measure $\lambda_d$. We consider the counting function $\Lamb...
3,212,635,538,417
arxiv
\section{Introduction} Astronomical datasets, from observational programs and numerical simulations, are complex, multi-dimensional, high-resolution, and with a high dynamic range. The displays used by most astronomers are simple, two-dimensional, low-resolution, with 24-bit colour. A great deal of effort is invested...
3,212,635,538,418
arxiv
\section{Introduction} \label{intro} Obtaining new physics results from LHC collider data at CERN ranks among the most challenging tasks in data analyses. Although the raw data of the experiments are processed centrally and quantities such as particle tracks are reconstructed, numerous tasks remain for small analysis ...
3,212,635,538,419
arxiv
\section{Introduction} \label{sec:intro} Computer simulation of tsunamis resulting from subduction zone earthquakes can be performed using a variety of available software packages, most of which implement the two-dimensional shallow water equations and require the vertical seafloor motion resulting from the earthquak...
3,212,635,538,420
arxiv
\section{Introduction} In this paper, we develop a new approach to geometric quantization using the theory of convergence of metric measure spaces. This work is the first step in this project, where we deal with the case of symplectic manifolds admitting non-singular Lagrangian fibrations. In the subsequent papers \c...
3,212,635,538,421
arxiv
\section{Introduction} \emph{Congestion games} constitute one of the most important and well-studied class of games in the field of \emph{algorithmic game theory}~\cite{2007a,Roughgarden2005,Roughgarden2016}. These games are tailored to model settings where selfish players compete over sets of common resources. Promin...
3,212,635,538,422
arxiv
\section{Introduction} Medical applications are increasingly considering the usage of machine learning (ML) models. However, researchers have found that ML models may perform disproportionately poorly on marginalized groups~\citep{buolamwini2018gender, obermeyer2019dissecting, pierson2021algorithmic}. Biases in traini...
3,212,635,538,423
arxiv
\section{Introduction}\label{sec intro} Let $G$ and $H$ be finite groups and let $F$ be an algebraically closed field of positive characteristic $p$. Moreover, let $A$ and $B$ be blocks of the group algebras $FG$ and $FH$, respectively. Our long term goal is to study necessary and sufficient conditions for the existenc...
3,212,635,538,424
arxiv
\section{Introduction} Light-pulse atom interferometers can convert a small signal into a relatively large phase shift of the interference fringes. For example, in Ref. \cite{LVGrav}, a 3 parts per billion (ppb) modulation in local gravity leads to a 1\% shift of the interference fringe. They thus make excellent micro...
3,212,635,538,425
arxiv
\section{Introduction} \label{BCCD:sect:introduction} Given a perfect field $k$ of characteristic $p>0$, we address the following question: how quickly can one compute the $N$th coefficient~$f_N$ of an algebraic power series \[ f(t) = \sum_{n\geq 0} f_n t^n \in \gfield[[t]], \] where $N$ is assumed to be a large posi...
3,212,635,538,426
arxiv
\section{Appendix A: Generation of Matrices with high-order correlations} The algorithm to generate a random matrix with positive correlations of order $k$ proceeds by going through the nodes $n$ one by one and modifying only the weights of the edges between node $n$ and nodes $<n$. In more precise terms: \begin{enumer...
3,212,635,538,427
arxiv
\section{Introduction} Let ${\mathbb{F}}_q$ be a finite field with $q$ elements, let $C$ be a smooth projective geometrically irreducible curve over ${\mathbb{F}}_q$, and let ${\mathfrak{G}}$ be a flat affine group scheme of finite type over $C$. A \emph{global ${\mathfrak{G}}$-shtuka} $\ul{\cal{G}}$ over an ${\mathbb...
3,212,635,538,428
arxiv
\section{Introduction} Since its infancy, non-equilibrium statistical mechanics has been based on models with coarse-grained forces~\cite{mazenko2006,Castiglione2008}. Indeed the origin of thermostats and non-conservative forces is a reduction of the description from a larger Hamiltonian system, where many degrees of...
3,212,635,538,429
arxiv
\section{Introduction} In two-dimensional electron-hole systems in the presence of a strong magnetic field, neutral excitons $X^0$ and spin-polarized charged excitonic ions $X_k^-$ ($X_k^-$ consists of $k$ neutral excitons bound to an electron) can occur\cite{shields,wojs1,palacios,wojs2}. The complexes $X_k^-$ shou...
3,212,635,538,430
arxiv
\section{Introduction} The Large Hadron Collider (LHC), now in the early stages of discovery level searches, is currently probing the weak scale for signs of physics beyond the Standard Model (SM). Although a model independent approach to new physics searches should primarily involve searching for deviations from SM p...
3,212,635,538,431
arxiv
\section{Introduction} \label{s1} General relativity (GR) is a generalization of Newton's laws of classical mechanics, in particular it makes classical law of gravity compatible with the relativistic mechanics at low energies (in the IR). The main symmetry of GR is the general covariance and, in particular, the constr...
3,212,635,538,432
arxiv
\section*{Appendix - Bias Errors on Lifted Systems} \label{sec:appendix} The bias on lifted LPTV systems is shown in \lemmaRef{lemma:biasLift}. \begin{lemma}[Bias error in lifted transfer functions] \label{lemma:biasLift} The bias errors that are introduced by LPM when identifying lifted transfer functions are given ...
3,212,635,538,433
arxiv
\section{A detailed example} Here we include some equations and theorem-like environments to show how these are labeled in a supplement and can be referenced from the main text. Consider the following equation: \begin{equation} \label{eq:suppa} a^2 + b^2 = c^2. \end{equation} You can also reference equations such...
3,212,635,538,434
arxiv
\section{Introduction}\label{intro} In this paper, I will concentrate on those Fokker--Planck models which are most useful for the study of rf-driven currents \cite{Fisch1}. I will therefore take the plasma to be azimuthally symmetric about the magnetic field and homogeneous (representative of the central portion of ...
3,212,635,538,435
arxiv
\section{Introduction}\label{intro} The RNA molecule is a long chain that consists of a sequence of the base A (adenine), C (cytosine), G (guanine), and U (uracil). A and U can bond, and C and G can bond with each other. Thus a folding of RNA corresponds to a word with a matching A-U and C-G for some pairs of letters...
3,212,635,538,436
arxiv
\section{Introduction} Let $\mathcal{X}$ be a nonsingular, projective, geometrically irreducible algebraic curve of positive genus $g$ defined over a finite field $\mathbb{F}_q$ with $q$ elements and let $\mathcal{X}(\mathbb{F}_q)$ be the set of its $\mathbb{F}_q$-rational points. The curve $\mathcal{X}$ is called $\ma...
3,212,635,538,437
arxiv
\section{Introduction} These notes are a somewhat expanded version of lectures given at the EPF Lausanne under the Troisieme Cycle de la Suisse Romande programme in November 1998, and later at the 12th Chris Engelbrecht Summer School held at Stellenbosch in January-February 1999. The lectures were intended to provide...
3,212,635,538,438
arxiv
\section{INTRODUCTION} \label{introduction_section} Star-bursting galaxies and quasars have been the leading candidates for the sources of the UV radiation required to reionize the hydrogen gas in the inter-galactic medium (IGM) \citep[e.g.,][]{Barkana2001}. The quasar population is observed to decline quickly at $z\...
3,212,635,538,439
arxiv
\section{Introduction} \IEEEPARstart{A}{ccording} to network analytics, about 80\% of wireless data usage is by indoor users \cite{cisco2012indoor}. Thus, increasing the transmission rate of indoor wireless access networks is of paramount importance. Visible light communication (VLC) is a promising solution for next-ge...
3,212,635,538,440
arxiv
\section{Introduction} Spin-orbit coupling (SOC) is an essential ingredient for quantitatively correct energy band structures of materials composed of any but the few lightest elements, appearing in materials applications as diverse as heavy-light hole masses in conventional semiconductors,\cite{GDresselhaus54,GDresse...
3,212,635,538,441
arxiv
\section{Introduction} These days machine learning is studied and applied in various fields of research, and its technology is rapidly developed. For example, image and video recognition is improved by the convolutional neural network~\cite{CNN,VGG}, and linguistic recognition progresses using deep neural network wi...
3,212,635,538,442
arxiv
\section{Introduction}\label{sec:intro} Collisionally ionized plasmas are formed in numerous astrophysical sources, such as the Sun and other stars, supernova remnants, galaxies, and the intracluster medium of galaxy clusters. Interpreting observations and modeling astrophysical processes in these objects requires ...
3,212,635,538,443
arxiv
\section*{Introduction} Dirac/Weyl semimetals have attracted intense research interest due to their exotic quantum phenomena as well as promising applications in more energy efficient next-generation electronic devices.\cite{Xu613,Lu622,Lv2015} Compared with many non-magnetic semimetals, magnetic Dirac/Weyl semimeta...
3,212,635,538,444
arxiv
\section{Introduction} \label{1} Tangent boundles of differentiable manifolds are of great importance in many areas of mathematics and physics. Geometry of the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ with the metric $\bar{g}$ defined by Sasaki in \cite{Sa} had been studied by many authors. Its construction...
3,212,635,538,445
arxiv
\section{Introduction} Kashaev and Reshetikhin used the braiding \cite{MR2184023} on quantum $\mathfrak{sl}_2$ at a root of unity to construct \cite{MR2131015} invariants of tangles equipped with flat $\mathfrak{sl}_2$-connections on their complements. We refer to their invariant as a \emph{holonomy invariant} because ...
3,212,635,538,446
arxiv
\section{INTRODUCTION} The study on the collective behaviour of birds, animals, fishes, etc. has not only drawn the attention of biologists, but also of computer scientists and roboticists. Thus several methods of cooperative control \cite{c10} of multi-agent system have evolved, where a single robot is not sufficient...
3,212,635,538,447
arxiv
\section{Introduction}\label{intr} Let $(X_1,\ldots,X_n)$ be a random vector in $\mathbf{R}^n$ with distribution $\mu$. We study rates of approximation of the average marginal distribution function \[ F(x) = \mathbf{E}F_n(x) = \frac{1}{n} \sum_{i=1}^n \mathbf{P}\{X_i \leq x\} \] by the empirical distribution ...
3,212,635,538,448
arxiv
\section{Introduction} Visual Question Answering (VQA) is an important task, and technology for it can offer a great benefit to users in trying to understand visual information. For instance, one core application of VQA is to provide a multimodal assistant, such as one that can answer questions to help with daily task...
3,212,635,538,449
arxiv
\section*{Supplementary Materials} \noindent Figures S1--S7 \noindent Table S1 \noindent References (52--63) \clearpage \singlespacing \setcounter{page}{2} \includegraphics[width=6in]{fig3_hd168.eps}\\ {\noindent {\bf Fig.~S1.} \\ \noindent Orbital evolution of HD 168433b, calculated using an $N$-body simulation...
3,212,635,538,450
arxiv
\section{Introduction} Non-abelian gauge groups play a crucial role in field theory as well as in the Standard model. In this work we observe that they imply new possibilities when used in the construction of finite-dimensional theories as well. We suggest and discuss the notion of pseudo-classical mechanics (pCM), ...
3,212,635,538,451
arxiv
\section{Introduction} Electrical impedance tomography (EIT) is a low-cost, portable, and noninvasive imaging modality that is free of ionizing radiation with many potential applications for pulmonary imaging. In EIT, an image is formed of the conductivity distribution $\sigma$ inside a body using only surface voltage...
3,212,635,538,452
arxiv
\section{Additional Figures} \input{feature_construction} \subsection{About the conjecture in Section~\ref{sec.high_d}}\label{app.more_simu_for_high_d} We provide some additional simulation results (in addition to Fig.~\ref{fig.type_B}) to validate our conjecture in Section~\ref{sec.high_d} that 2-layer NTK is more ...
3,212,635,538,453
arxiv
\section{Introduction} The familiar van der Corput $k$-th derivative estimate for exponential sums (Titchmarsh \cite[Theorems 5.9, 5.11, \& 5.13]{Titch}, for example), may be stated as follows. Let $k\ge 2$ be an integer, and suppose that $f(x):[0,N]\to\R$ has continuous derivatives of order up to $k$ on $(0,N)$...
3,212,635,538,454
arxiv
\section{Introduction} In the study of fully developed turbulence the so-called shell models have become an important tool. In these models the essential ingredients are the conservation laws and the assumption of locality on a discrete set of exponentially growing momentum shells. The models are constructed such ...
3,212,635,538,455
arxiv
\section{Introduction} \section{Introduction} Let ${\bf X} = \{X^n \}_{n=1}^\infty$ and $\overline{{\bf X}} = \{\overline{X}^n \}_{n=1}^\infty$ be two \textit{general sources}, where we use the term of \textit{general source} to denote a sequence of random variables $X^n$ (resp. $\overline{X}^n$) indexed by block le...
3,212,635,538,456
arxiv
\section{Introduction} This paper develops an advancement to the approximate control variate (ACV)~\cite{gorodetsky_generalized_2020} approach for variance reduction in uncertainty quantification applications where multiple models with varying qualities and computational costs are available. Specifically, we ...
3,212,635,538,457
arxiv
\section*{Introduction}\label{sec;introduction} \label{sec;introduction} Let $\Omega $ be a bounded domain in $\mathbb{R}^d$ ($ d=1,2,3$) with smooth boundary $\partial \Omega$ and $T>0$. Consider the following reaction-diffusion system with Cauchy-Dirichlet conditions \begin{equation} \label{a1} \left\lbrace \begin{al...
3,212,635,538,458
arxiv
\section{Basic Definitions} Let \(n\) be a positive integer. A sequence of positive integers whose sum is \(n\) is called a \emph{\comp{n}}. We can display any composition graphically as a \emph{skyline diagram} as shown in \cref{fig:skyline}. Denote by \(\sC_n\) all the compositions of \(n\) and let \(\sC\) denote ...
3,212,635,538,459
arxiv
\section{Applications and Use Cases} \label{sec:apps} Major cloud operators already offer (or have announced) ``blockchain-as-a-service'' running Fabric\xspace, including Oracle, IBM, and Microsoft. Moreover, Fabric\xspace currently powers more than 400 prototypes and proofs-of-concepts of distributed ledger technolog...
3,212,635,538,460
arxiv
\section{Introduction} Longitudinal and survival data appear in many application areas such as medicine, biology, agriculture, epidemiology, economics and small area estimation. This kind of observations typically present within- and among- subject dependence due to grouping and/or repeated measurements. Hierarchical ...
3,212,635,538,461
arxiv
\section{Introduction} The nucleosynthesis of heavy elements is only understood if stellar reactions take place in regions of nuclear chart far away from the $\beta$-stability line, involving a large number of unstable or even exotic nuclear species for which the experimental data are very scarce. For instance, the ...
3,212,635,538,462
arxiv
\section{Introduction} \label{sec:intro} The X-ray astronomy satellite XRISM is planned to be launched in the Japan fiscal year 2022\cite{Tashiro20}. It is expected to revolutionize high-energy astrophysics with its high-resolution, high-throughput, and non-dispersive X-ray spectrometer based on the X-ray microcalorim...
3,212,635,538,463
arxiv
\section{Introduction} Einstein introduced by hand a Cosmological Constant (CC) $\Lambda$ in his field equations to compensate for the universe expansion, and predict a stationary universe. He made reference to the CC as being his biggest mistake, when Hubble discovered that our universe was in expansion. Modern observ...
3,212,635,538,464
arxiv
\section{Introduction} The interaction between an impurity and a surrounding many-body environment can lead to the formation of a quasiparticle called a polaron \cite{Landau1933,Pekar1946}. When multiple impurities are present, exchange interactions, also mediated by the surrounding environment, can lead to impurity-...
3,212,635,538,465
arxiv
\section{Introduction} The dissociation of Coulombically bound excited electron-hole pairs -- excitons -- into free charge carriers is a microscopic process that is fundamental to the performance of photovoltaic systems.\cite{Zhu2015,Deibel2010,Clarke2010} This process requires the physical separation of oppositely ch...
3,212,635,538,466
arxiv
\section{Introduction} Core-collapse supernovae are the expected fate for nearly all massive stars with initial masses $>8M_{\odot}$. Over their life times, of up to a few tens of millions of years, the energy produced from the fusion of lighter elements to make heavier elements holds these heavy weight stars up again...
3,212,635,538,467
arxiv
\section*{Figure Captions\markboth {FIGURECAPTIONS}{FIGURECAPTIONS}}\list {Figure \arabic{enumi}:\hfill}{\settowidth\labelwidth{Figure 999:} \leftmargin\labelwidth \advance\leftmargin\labelsep\usecounter{enumi}}} \let\endfigcap\endlist \relax \def\tablecap{\section*{Table Captions\markbo...
3,212,635,538,468
arxiv
\section{Introduction} Ultracompact X-ray binaries are semi-detached binary star systems in which a neutron star or a black hole accretes material from a Roche-lobe overflowing white dwarf. They are of astrophysical interest for a variety of reasons. It is expected that some ultracompact X-ray binaries should be...
3,212,635,538,469
arxiv
\section{Introduction} \label{sec:intro} The use of drones for distributing food packets and first aid kits in search and rescue missions has increased in the recent years due to its versatility and fast speed compared to a human alternative. By making use of characters superimposed on shapes, we can mark and identify ...
3,212,635,538,470
arxiv
\section{Introduction} We begin with the following definitions. \begin{definition} \label{d:HK} A hyperk\"ahler $4$-manifold $(X, g, I, J, K)$ is a Riemannian $4$-manifold $(X,g)$ with a triple of K\"ahler structures $(g, I), (g, J), (g, K)$ such that $IJ=K$. \end{definition} We denote by $\bm{\omega} = (\omega_1, \om...
3,212,635,538,471
arxiv
\section{Notation} \label{Appendix_Glossary_NotationConvs} \vskip -0.35in \printglossary[type={symbols},title={},style={glossstyleSymbol},nogroupskip=true] \newpage \section{Background and identities for Lambert series generating functions} \subsection{Introduction} In the most general setting, we define the \em...
3,212,635,538,472
arxiv
3,212,635,538,473
arxiv
\section{Introduction} Jet streams in the Earth's atmosphere are fast flowing, narrow air currents produced by two factors: the atmospheric heating and the influence of the Coriolis force caused by the planet rotation~\citep{rhi94,val06,hh13}. Being one of the elements in the atmospheric dynamics, jet streams can be...
3,212,635,538,474
arxiv
\section{Introduction} \label{n1} The discovery of Anderson localization~\cite{Anderson} is giving guidance to understand how the disorder affects the mobility of carriers through the spatial distribution of the wave function beyond the framework of the conventional band theory. After half a century, the Anderson local...
3,212,635,538,475
arxiv
\section{Demonstration Case Study} \label{demo-case-study} To explore the feasibility of our approach, we applied it to several systems under development at Honeywell. The primary goal of these case-studies is to explore how specialist domain knowledge can be incorporated into the requirement review process to help as...
3,212,635,538,476
arxiv
\section*{Introduction} The derived category of coherent sheaves on a variety is a fundamental geometric invariant with fascinating and intricate connections to birational geometry, mirror symmetry, non-commutative geometry and representation theory, to name but a few. It is fair to say that derived categories are ubiq...
3,212,635,538,477
arxiv
\section{Introduction} \label{sec:intro} In the study of interactions with a large number of agents, it is a common behavioral assumption that an individual agent chooses an optimal action with negligible effect on the aggregate. One classical example involves the idea of perfect competition. Namely, a large populati...
3,212,635,538,478
arxiv
\section{Introduction} The Wigner distribution, as originally defined by Wigner \cite{1} for the case of a Cartesian configuration space has, over the years, been extended and generalised in many directions \cite{2}-\cite{a}. These extensions and generalisations (most of which have been elegantly unified in a recent wo...
3,212,635,538,479
arxiv
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{N}{eural} architecture search (NAS) has attracted lots of interest for its potential to automatize the process of architecture design. Previous reinforcement learning~\cite{nasnet, mnasnet} and evolutionary algorithm~\cite{amoebanet} based methods usually i...
3,212,635,538,480
arxiv
\section{Introduction} This paper is a continuation of previous work done by the author \cite{2016arXiv161203276H}, for convenience we reproduce most part of the work here. Using the results of the paper we detail some results using two level system in numerical solutions. With which we provide two examples of logic ma...
3,212,635,538,481
arxiv
\section{Introduction} The detection of collisions between triangular meshes is ubiquitous in collision response algorithms in computer graphics and scientific computing. While static collision detection is popular in interactive applications due to its efficiency, its inability to detect collisions between fast mo...
3,212,635,538,482
arxiv
\section{Introduction} Black hole is the most pure object in gravity, which may be treated as atom in gravity theory. Because of the uniqueness theorem, a black hole looks like an atom even more, in the original sense of this word. Direct quantization of black hole itself runs up against stone walls again and again. ...
3,212,635,538,483
arxiv
\section{Introduction} Deep learning based computer vision is becoming one of the foundations for autonomous agents and has a multitude of applications in augmented reality, wearable devices and other mobile platforms. All of these tasks require real-time capability of the underlying algorithms, which easily collides w...
3,212,635,538,484
arxiv
\section{Introduction} \label{Intro} Since the original work of Bender and Boettcher \cite{BB}, there have been many studies of $\mathcal{PT}$-symmetric systems and in the last few years the literature on such systems has expanded rapidly. In particular, in the seminal paper mentioned above, the authors showed th...
3,212,635,538,485
arxiv
\section{Introduction} Convergence in density of numerical approximations through the probabilistic approach has received considerable attentions for stochastic differential equations (SDEs) whose coefficients are smooth vector fields with bounded derivatives. It is well known that, under the uniform ellipticity con...
3,212,635,538,486
arxiv
\section{Introduction} \label{sec:intro} It has been claimed that the entropy of a black hole is proportional to the surface area at the event horizon~\cite{Bekenstein:1973ur}, and then the Schwarzschild black hole has been studied through the quantum field theoretic calculation~\cite{Hawking:1974sw}. One of th...
3,212,635,538,487
arxiv
\section{Introduction} Global constraints are a vital component of constraint toolkits. They permit users to model common patterns and to exploit efficient propagation algorithms to reason about these patterns. A promising mechanism to implement such global constraints is to develop decompositions into sets of prim...
3,212,635,538,488
arxiv
\section{Introduction} The contemporary interest in retrocausality \cite{R1}-\cite{R12} is motivated primarily by the suggestion that it may be a route to a realist resolution of the paradoxes of quantum mechanics \cite{retroA1}-\cite{retroA5}. In this paper we begin to investigate a new type of retrocausality which ...
3,212,635,538,489
arxiv
\section{Introduction} By a linear group we understand a subgroup of $GL(m,F)$ for some field $F$ and a positive integer $m$. A group $G$ is called an \emph{Engel group} if for every $x,g\in G$ the equation $[x,g,g,\dots , g]=1$ holds, where $g$ is repeated in the commutator sufficiently many times depending on $x$ ...
3,212,635,538,490
arxiv
\section{Introduction} When working with educational data, we often encounter imbalanced binary input and outcome features, by which we mean the variable is not equally split into its two categories. For example, demographics in science, technology, engineering, and mathematics (STEM) are often imbalanced due to histor...
3,212,635,538,491
arxiv
\section{Introduction} One way to try and predict future hurricane numbers is to predict sea surface temperatures (SST), and then to predict hurricane numbers as a function of the predicted SSTs. If both the prediction of SSTs and the model that relates SSTs to hurricane numbers are probabilistic then the resulting p...
3,212,635,538,492
arxiv
\section{Introduction} \vspace{-.25cm} The continuous linear advection equation models the flow of a scalar concentration along a vector field. The solutions to this hyperbolic partial differential equation may develop discontinuities or shocks over time depending on the initial condition. These shocks can model the ...
3,212,635,538,493
arxiv
\section{Introduction}\label{sec_intro} Galactic Globular Clusters (GGCs) are crucial stellar systems to constrain the input physics adopted to construct evolutionary and pulsation models~\citep{renzini1988,marconi2003,cassisi2010}, to investigate the kinematic properties of gas-poor, compact systems~\citep{meylan1997}...
3,212,635,538,494
arxiv
\section{Introduction} In normal-metal/\emph{s}-wave BCS superconductor heterostructure (NM/S), below the superconducting energy gap a spin up or down electron comes into NM/S interface will be reflected as a hole in the opposite spin subband, which is called spin-singlet Andreev reflection(AR) process\cite{An...
3,212,635,538,495
arxiv
\section{introduction} \section{Introduction} Spin-orbital-angular-momentum (SOAM) coupling, originally introduced due to the relativistic effect of the electron's spin with its orbital angular momentum, is of ubiquitousness now in varying areas of physics. For neutral atoms, recent investigations show that the interna...
3,212,635,538,496
arxiv
\section{Introduction} Since the LHCb collaboration observed a discrepancy with the standard model (SM) in the angular distribution of $B \to K^*(\to K \pi)\mu^+\mu^-$ \cite{Aaij:2013qta} in 2013, $B$-meson anomalies have gained ever-increasing attention in the community. Benefitting from smaller hadronic uncertaintie...
3,212,635,538,497
arxiv
\section{INTRODUCTION} 313P/Gibbs (formerly P/2014 S4), hereafter called ``313P'', was discovered on UT 2014 September 24 as a product of the on-going Catalina Sky Survey (Gibbs 2014). Although 313P is cometary in appearance, its orbit lies within the asteroid belt, having a semimajor axis 3.156 AU, eccentricity 0.242 ...
3,212,635,538,498
arxiv
\section*{APPENDIX} \section*{Evaluation of the secret key rate formula} From the main text, we have that a lower bound on the secret key rate delivered by Protocol~3 can be written as \begin{equation}\label{key_rate} R^{\rm low}_{X}= \max{\{R^{\rm low}_{X,10},0\}} +\max{\{R^{\rm low}_{X,01},0\}}, \end{equation} wh...
3,212,635,538,499
arxiv
\section{Introduction} All graphs considered in this paper are undirected, finite and simple. We refer to the book \cite{Bondy} for graph theoretical notation and terminology not described here. Let $N$ be the set of natural numbers and let $[a,b]$ be the set $\{n\in N\mid a\leq n\leq b\}$. A \emph{decomposition...
3,212,635,538,500
arxiv
\section{ Introduction} To compute the low-energy Lagrangian of the string theory compactified on a CY manifold \cite {CHSW}, one needs to know the Special geometry of the corresponding CY moduli space \cite{ Distances, S, Rolling, CO}. More precisely, the effective Lagrangian of the vector multiplets in the...
3,212,635,538,501
arxiv
\section{1. Introduction} Understanding the origin of the large single spin asymmetries (SSAs) observed in various high-energy semi-inclusive processes have been a big challenge during the past decades. The SSA can be generated as a consequence of the multiparton correlations inside the hadrons in the collinear factor...
3,212,635,538,502
arxiv
\section{\hspace{-0.3cm} #1}} \begin{document} \title{Understanding the $B \to K^* \mu^+\mu^-$ Anomaly} \author{S\'ebastien Descotes-Genon$^{a}$, Joaquim Matias$^{b}$ and Javier Virto$^{b}$ \vspace{0.3cm}} \affiliation{ \mpg{\mbox{$^{a}$Laboratoire de Physique Th\'eorique, CNRS/Univ. Paris-Sud 11 (UMR 8627), 91405 ...
3,212,635,538,503
arxiv
\section{Introduction} Self-affine sets are natural objects of interest in fractal geometry, and have been intensively studied since the early 1980s. While the dimension theory of non-overlapping self-similar sets is well understood, significant open problems remain in the self-affine case. Indeed, until recently the ...
3,212,635,538,504
arxiv
\section*{Background} Hidden Markov Models (HMMs) are widely used in Bioinformatics \cite{dekm1998}, for example, in protein sequence alignment, protein family annotation \cite{kbm+1994,eddy2001} and gene-finding \cite{md2002, md2004}. When an HMM consisting of $M$ states is used to annotate an input sequence, its pr...
3,212,635,538,505
arxiv
\section*{\refname \@mkboth{\MakeUppercase{\refname}}{\MakeUppercase{\refname}}} } \providecommand{\boldsymbol}[1]{\mbox{\boldmath $#1$}} \usepackage{babel} \makeatother \begin{document} \vfill{} \title{\textbf{Language Models with Pre-Trained (GloVe) Word Embeddings}} \vfill{} \author{ Victor Makarenkov, Lior...