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1,477,468,750,381 | arxiv | \section{Introduction and statement of main results}
\label{sec:intro}
The main results of this paper is the gradient estimates of solutions to quasilinear elliptic equations coupled with nonhomogeneous Dirichlet boundary conditions of the form:
\begin{align}
\label{eq:diveq}
\begin{cases}
\text{div}(A(x,\nabla u)) &=... |
1,477,468,750,382 | arxiv | \section{Introduction}
In this work, we are interested in the following complex-valued semilinear heat equation
\begin{equation}\label{equ:problem}
\left\{
\begin{array}{rcl}
\partial_t u &=& \Delta u + F(u), t \in [0,T), \\[0.2cm]
u(0) &=& u_0 \in L^\infty,
\end{array}
\right.
\end{equation}
where $F(u) = u^p$ an... |
1,477,468,750,383 | arxiv | \subsection{Other Notions of Fairness}
\todo{Trim this down to be consistent with the introduction}
There are several other popular notions of fairness and efficiency. We list them here:
\begin{description}
\item[\text{MAX-USW}] An allocation $X$ is said to maximize {\em utilitarian social welfare} if it maximizes... |
1,477,468,750,384 | arxiv |
\section{Introduction}
\label{sec:intro}
\begin{figure*}[ht]
\vspace{-4mm}
\includegraphics[width=\textwidth]{figures/main.pdf}
\caption{\textbf{System Overview} Our system optimization process can be divided into two stages. In the first stage, the time-pose function learns the unknown deep camera poses... |
1,477,468,750,385 | arxiv | \section{Introduction}
Stellar mass black holes and neutron stars are the end point of
massive star evolution via supernovae or gamma-ray bursts. Nearly all
of the Galactic black holes, and many neutron stars, found so far are
in binaries. Their properties are the observable consequences of
binary interactions. Study... |
1,477,468,750,386 | arxiv | \section{Introduction}
The combination of coupled-channel unitarity and chiral Lagrangians, the so-called
unitary chiral approach, has been quite
successful in explaining the nature of and/or related data about some low-lying mesonic and baryonic excitations (see Ref.~\cite{Oller:2000ma} for an introduction and earlier... |
1,477,468,750,387 | arxiv | \chapter*{Abstract}
\textsc{Uniform} algebras have been extensively investigated because of their importance in the theory of uniform approximation and as examples of complex Banach algebras. An interesting question is whether analogous algebras exist when a complete valued field other than the complex numbers is use... |
1,477,468,750,388 | arxiv | \section{Multi-task Multi-agent RL}
This section introduces MT-MARL under partial observability. We formalize single-task MARL using the Decentralized Partially Observable Markov Decision Process (Dec-POMDP), defined as $\langle \mathcal{I}, \mathcal{S}, \bm{\mathcal{A}}, \mathcal{T}, \mathcal{R}, \bm{\Omega}, \mathc... |
1,477,468,750,389 | arxiv |
\section{Introduction}
\input{sections/intro}
\section{Preliminaries}
\input{sections/preliminary}
\section{Hierarchical policy blending as optimal transport}\label{sec:pbot}
\input{sections/methods}
\section{Experiments}\label{sec:experiments}
\input{sections/experiments}
\section{Related work}
\input{sections/... |
1,477,468,750,390 | arxiv | \section{\protect\bigskip \textbf{Introduction}}
A pseudo-Riemannian metric $g$ on a smooth $2n-$manifold $M$ is called
neutral if it has signature $(n,n)$. A pair $(M,g)$ is called a
pseudo-Riemannian manifold. An anti-K\"{a}hler structure on a manifold $M$
consists of an almost complex structure $J$ and a neutr... |
1,477,468,750,391 | arxiv | \section{Introduction}
Integrability provides powerful tools for some special non - linear differential equations. An indicative example, that will occupy our interest, is provided by the equations of motion NLSMs on symmetric spaces. The equations of motion of the NLSM can be obtained as the compatibility condition of... |
1,477,468,750,392 | arxiv |
\section{First Section}
\subsection{A Subsection Sample}
Please note that the first paragraph of a section or subsection is
not indented. The first paragraph that follows a table, figure,
equation etc. does not need an indent, either.
Subsequent paragraphs, however, are indented.
\subsubsection{Sample Heading (Thi... |
1,477,468,750,393 | arxiv | \section{Introduction}
Lie used algebraic symmetry properties of differential equations to
extract their solutions \cite{lie1, lie, lie2, lie3}. One method
developed was to transform the equation to linear form by changing
the dependent and independent variables invertibly. Such
transformations are called \emph{po... |
1,477,468,750,394 | arxiv | \section{Introduction}
\label{sec:introduction}
We began this investigation desiring to understand the relationship between prior belief and the resulting uncertainty in predictions obtained from inference
in the hope that new insights would provide a sound basis to improve prediction credibility in machine learning.
... |
1,477,468,750,395 | arxiv | \section{Introduction}
\label{s:Introduction}
In the explorations of the phase diagram of strong nuclear force, some of the most intriguing questions are associated with the phase dubbed Quark-Gluon Plasma (QGP), in which under large temperatures and/or baryon densities quarks and gluons are deconfined. Properties of ... |
1,477,468,750,396 | arxiv | \section{Introduction}\label{sec:introduction}
{Models of solar flares and coronal heating mechanisms require the build-up and storage of magnetic energy in the coronal magnetic field. This build-up of magnetic energy is frequently modelled by imposing slow photospheric motions that gently stress the coronal field. Th... |
1,477,468,750,397 | arxiv | \section{Introduction}
Given a Kähler manifold $(X, \omega)$ one may define in a natural way a bundle $p\colon Z_X\rightarrow X$ of affine spaces called a \emph{canonical extension} of $X$. One possible way to define $Z_X$ is as the universal complex manifold on which the cohomology class $[p^*\omega]=0$ vanishes.
... |
1,477,468,750,398 | arxiv |
\section{Introduction}\label{introduction}}
This paper investigates the notion of homotopy of walks to study an
equivalence between two definitions of embeddings in the sphere of
connected and locally finite directed multigraphs. The constructions
are proof-relevant and constructive, powered by homotopy type theory
(... |
1,477,468,750,399 | arxiv | \section{Introduction}
The region encompassing the Herbig-Haro (HH) object 30 and the stars
HL/XZ Tau, in the northeastern part of the L1551 dark cloud, lies at a
distance of 140 pc (e.g., Kenyon et al.\ 1994). It is particularly rich in
HH jets, being one of the regions where this phenomenon was first
identified (Mun... |
1,477,468,750,400 | arxiv | \section{Introduction}
By installing hundreds of antennas at the \emph{base station }(BS), \emph{large-scale antenna} (LSA) systems can significantly improve performance of cellular networks \cite{EGLarsson,FRusek}. Even if LSA can be regarded as an extension of the traditional \emph{multiple-input multiple-output} (MI... |
1,477,468,750,401 | arxiv | \section{Introduction}
We focus on recovering a sparse piece-wise smooth
two-dimensional (2D) signal (an image) ${\bf X}$ from 1-bit measurements,
\begin{equation}\label{1bitcsnoisy}
{\bf Y}=\mbox{sign}\left({\bf A}{\bf X} + {\bf W}\right),
\end{equation}
where ${\bf Y}\in\{-1,1\}^{M \times L}$ is the measuremen... |
1,477,468,750,402 | arxiv | \section{Conclusions}
In summary, we developed a finite-field approach to compute density response functions ($\chi_0$, $\chi_{\text{RPA}}$ and $\chi$) for molecules and materials. The approach is non-perturbative and can be used in a straightforward manner with both semilocal and orbital-dependent functionals. Using t... |
1,477,468,750,403 | arxiv | \section{Introduction}
The Korteweg--de Vries equation
\begin{align}\label{KdV}\tag{KdV}
\frac{d\ }{dt} q = - q''' + 6qq'
\end{align}
was derived in \cite{KdV1895} to explain the observation of solitary waves in a shallow channel of water. Specifically, they sought to definitively settle (to use their words) the deb... |
1,477,468,750,404 | arxiv | \section{Introduction}
\textbf{Wearable technologies} are rapidly advancing thanks to the developments in consumer electronics, with activity trackers leading the way. However, these devices have yet to fulfill their promise of revolutionizing the way we live. The abandonment rate is relatively high as well. There are ... |
1,477,468,750,405 | arxiv | \section{\@startsection {section}{1}{\z@}%
{-3.5ex \@plus -1ex \@minus -.2ex}%
{2.3ex \@plus.2ex}%
{\normalfont\large\bf}}
\makeatother
\makeatletter
\renewcommand\subsection{\@sta... |
1,477,468,750,406 | arxiv | \section{Introduction}
This template is for papers of VGTC-sponsored conferences which are \emph{\textbf{not}} published in a special issue of TVCG.
\section{Using the Style Template}
\begin{itemize}
\item If you receive compilation errors along the lines of ``\texttt{Package ifpdf Error: Name clash, \textbackslash i... |
1,477,468,750,407 | arxiv | \section{Introduction}
\label{Sec:Intro}
Many statistical procedures rely on the eigendecomposition of a matrix. Examples include principal components analysis and its cousin sparse principal components analysis \citep{Zouetal2006}, factor analysis, high-dimensional covariance matrix estimation \citep{Fanetal2013} an... |
1,477,468,750,408 | arxiv | \section{Introduction}
Neutrinos define the only sector of the standard model (SM)
where some basic
questions have no answer yet. We do not know, for example,
whether they are Dirac or Majorana spinors, or whether
the sector includes additional sterile modes.
Although neutrinos are related by the gauge symmetry
to t... |
1,477,468,750,409 | arxiv | \section{Introduction}
The complex Chern-Simons theory was studied by embedding it into string theory in \cite{equivariant}, and the starting point is the following configuration of M-theory fivebranes that is often used to study the 3d-3d correspondence~\cite{DGH, Terashima:2011qi, Dimofte:2011ju, Dimofte:2011py,Ceco... |
1,477,468,750,410 | arxiv | \section{Introduction}
Many edge-based AI applications have emerged in recent years, where various edge systems (e.g., PCs, smart phones, IoT devices) collect local data, collaboratively train a ML model, and use the model for AI-driven services. For example, smart cameras are deployed in surveillance systems \cite{ai_... |
1,477,468,750,411 | arxiv | \section{Introduction}
One of the grand challenges of reinforcement learning (RL), and of decision-making in general, is the ability to generalize to new tasks. RL agents have shown incredible performance on single task settings \citep{berner2019dota, lillicrap2015continuous, mnih2013playing}, yet frequently stumble w... |
1,477,468,750,412 | arxiv | \section{Overview}\label{sec:overview}
The usual fundamental group functor $\pi_1\colon\mathsf{Top}_{\ast} \to\mathsf{Grp}$ which assigns to each pointed topological space $(X,x_0)\in\mathsf{Top}_{\ast}$ the group of homotopy classes of based loops and to each based continuous map $f\colon X\to Y$ the group homomorphis... |
1,477,468,750,413 | arxiv | \section{Introduction}
\label{section:introduction}
Stars form in giant molecular clouds (GMCs) whose primary constituent
is molecular hydrogen, \htwo. Because \htwo \ lacks a permanent
dipole moment, and the lowest lying excited state capable of
quadrupole emission requires temperatures $\sim 500$ \ K to be excited,... |
1,477,468,750,414 | arxiv | \section{Introduction}
Modeling galaxy formation and evolution requires
of a solid cosmological theoretical framework as much as an adequate
model to describe the large-scale star formation (SF) cycle and its
interplay with the interstellar medium (ISM). The dissipative
properties of the ISM play a crucial role in th... |
1,477,468,750,415 | arxiv | \section{Introduction: motivations and overview of the new results}
\label{sec:intro}
TDA is now expanding towards machine learning and statistics due to stability that was proved in a very general form by Chazal et al. \cite{chazal2016structure}.
The key idea of TDA is to view a given cloud of points across all scale... |
1,477,468,750,416 | arxiv | \section{Introduction}
Right-handed neutrinos ($\nu_{R}$) are one of the most intriguing
pieces to be added to the Standard Model (SM). Not only can they resolve
several problems of the SM including neutrinos masses, dark mater,
and baryon asymmetry of the universe,\footnote{See, e.g., the so-called $\nu$MSM~\cite{Asa... |
1,477,468,750,417 | arxiv | \section{Introduction}
Lars Hedin's $GW$ method~\cite{Hedin} is an approximate
treatment of the propagation of electrons in condensed matter
where an electron interacts with itself via a Coulomb
interaction that is screened by virtual
electron-hole pairs.
In periodic semiconductors, the $GW$ approximation is known... |
1,477,468,750,418 | arxiv | \section{Introduction}
This paper builds on an existing notion of group responsibility in \cite{coalitional} and proposes two ways to define the degree of group responsibility: \emph{structural} and \emph{functional} degrees of responsibility. These notions measure the potential responsibilities of (agent) groups for ... |
1,477,468,750,419 | arxiv | \section{Introduction}
A possible relevance of non-Archimedean geometry and $p$-adic number theory within different contexts of theoretical physics is being discussed for more than thirty years. Originally p-adic concepts have been introduced in string theory \cite{Volovich:1987wu,Volovich:1987nq,Freund:1987kt,Brekke:... |
1,477,468,750,420 | arxiv | \section{Introduction}
LoRa/LoRaWAN is considered one of the Low Power Wide Area Networks \cite{raza2017low} that promise to connect massive numbers of low-cost wireless devices/nodes\footnote{We use device and node interchangeably.}, thousands per cell, in a simple star topology. Nodes operate with low energy consump... |
1,477,468,750,421 | arxiv | \section{Introduction\label{s1}}
Recently the bound state problem for strained graphene with a dipole
became of interest in the physics literature (De Martino et al
\cite{Martinoetal2014}). This is described effectively by a
two-dimensional massive Dirac operator $D_\phi$ with a dipole
potential $\phi$, i.e.,
\begin{e... |
1,477,468,750,422 | arxiv | \section{Introduction}\label{sec:introduction}
Over the past two decades, designing energy-efficient communication terminals has become an important issue. This is not surprising for terminals which have to be autonomous as far as energy is concerned, such as cellular phones, unplugged laptops, wireless sensors, and m... |
1,477,468,750,423 | arxiv | \section{Introduction}
\label{sec:introduction}
Data integration and access to legacy data sources using end user-oriented languages are increasingly challenging contemporary organizations. In the whole spectrum of data integration and access solutions, the approach based on \emph{Virtual Knowledge Graphs (VKG)} is ga... |
1,477,468,750,424 | arxiv | \section{Introduction, summary and conclusion}
The study of quantum gravity using a holographic formulation requires
understanding how the bulk gravitational physics is described by the boundary gauge theory. Given the ubiquitous nature of Wilson loop
operators in gauge theory, it is of interest to understand how... |
1,477,468,750,425 | arxiv | \section{Introduction}
Maldacena's consistency relation~\cite{Maldacena:2002vr} has stood out as one of the key relations allowing us to test cosmic inflation~\cite{Guth:1980zm, Linde:1981mu, Starobinsky:1980te, Albrecht:1982wi, Mukhanov:1981xt}. It ties together two observables, the size of primordial local non-Gau... |
1,477,468,750,426 | arxiv | \section{Introduction}
The analytic signal, which was introduced by Gabor \cite{Gabor46} and Ville \cite{Ville48}, is a powerful tool in various applications such as communication \cite{Boashash92}, radar-based object detection \cite{Levanon04}, processing of oceanic data \cite{Lilly06}, etc. It is a complex signal whi... |
1,477,468,750,427 | arxiv | \section{Introduction}\label{intro}
The weighted Bergman space with exponent $p>0$ and weight $\alpha>-1$ is denoted by $A_\alpha ^p (\D)$ and is defined to be the set of all holomorphic functions $f$ on the unit disk $\mathbb{D}$ such that
\[\left\| f \right\|_{A_\alpha ^p (\D)}^p : = \int_\mathbb{D} {{{\left| {f\lef... |
1,477,468,750,428 | arxiv |
\section{Introduction}
The top quark as the heaviest known elementary particle plays a
fundamental role, both in the Standard Model and in new physics scenarios.
Experimental analyses of Large Hadron Collider (LHC) data collected during
run II will provide unprecedented reach at high energy and in exclusive
phase spa... |
1,477,468,750,429 | arxiv | \section{Introduction}
Precision measurements of the CKM matrix put the Standard Model to a
stringent test and constrain possible physics beyond it. Using the
measured frequency of $B_{q} - \overline{B}_{q}, \; q \in \{d,s\}$
oscillations to determine the CKM matrix elements $|V_{tq}|$
requires a reliable lattice calc... |
1,477,468,750,430 | arxiv | \section{Introduction}
Many practical problems involve signals that can be modeled or approximated by a superposition of a few complex exponential functions. In particular, if we choose the exponential function to be complex sinusoid, it covers signals in acceleration of medical imaging \cite{LDP:MRM:07}, analog-to-di... |
1,477,468,750,431 | arxiv | \section{Introduction}
The intersection of magnetism with topological electronic states has become an exciting area in condensed matter physics. A variety of exotic quantum states have been predicted to emerge, such as the quantum anomalous Hall effect, Weyl semimetals, and axion insulators, although only a few exper... |
1,477,468,750,432 | arxiv | \section{Introduction}
\label{sec:intro}
Neutron stars or black-holes in high-mass X-ray binaries (HMXBs) accrete gas from the stellar wind of their massive, OB-type, stellar companions. A fraction of the gravitational potential energy is converted into X-rays, ionizing and heating the surrounding gas. The X-ray emiss... |
1,477,468,750,433 | arxiv | \section{Introduction}
Convection occurs in the interiors of many astrophysical bodies and must be sustained against viscous and ohmic dissipation. This dissipation is often neglected in astrophysical models, e.g., in standard stellar 1D evolution codes \citep[e.g.,][]{ChabrierBaraffe1997,Paxtonetal2011} though its eff... |
1,477,468,750,434 | arxiv | \section{Introduction}
Various unconventional superconductors have proliferated experimentally over the recent decades although the origins of the superconductivity (SC) in cuprates and heavy fermion materials remain theoretically controversial \cite{Bednorz1986,Steglich1979,Lee2006}. The quasi-two-dimensional
(2D) iro... |
1,477,468,750,435 | arxiv | \section{Introduction}
We consider the fundamental mechanism design problem of {\em
approximate social welfare maximization} under {\em general cardinal
preferences} and {\em without money}. In this setting, there is a
finite set of agents (or {\em voters}) $N = \{1,\ldots,n\}$ and a finite set of
alternatives (or {\em... |
1,477,468,750,436 | arxiv | \section{Introduction}
Recently, unmanned aerial vehicles (UAVs)-assisted cellular networks are deployed as a promising alternative to handle out-of-coverage issues. These UAVs work as a flying base station (BS) that offers computing and communication facilities for Internet of Things (IoT) devices and applications, e... |
1,477,468,750,437 | arxiv | \section{Introduction}
The study of random graphs dates back to the work of Erd\H{o}s and Renyi in the late 1950s \cite{erdHos1960evolution,erdHos1959random}.
In particular, the transition of a random graph as a composition of mostly small components to one with a ``giant component'' to a connected graph has been stud... |
1,477,468,750,438 | arxiv | \section{#1} \setcounter{subsection}{1}}
\renewcommand{\thesection}{\arabic{section}}
\renewcommand{\thesubsection}{\thesection.\arabic{subsection}}
\setcounter{secnumdepth}{1}
\date \today
\begin{document}
\title{Quantization of general linear electrodynamics}
\author{Sergio Rivera}
\author{Frederic P. Schuller}
\addr... |
1,477,468,750,439 | arxiv | \section{Introduction}
It was realized long ago (Cowsik \& Lee 1982 and references therein) that the
divergence of the velocity field in astrophysical flows can provide a very
efficient mechanism to transfer energy from the fluid to particles (photons,
neutrinos, cosmic rays) diffusing through the medium, even in the... |
1,477,468,750,440 | arxiv | \section{Introduction}
In \cite{Haglund-Remmel-Wilson-2018}, Haglund, Remmel and Wilson conjectured a combinatorial formula for $\Delta_{e_{n-k-1}}'e_n$ in terms of decorated labelled Dyck paths, which they called \emph{Delta conjecture}, after the so called delta operators $\Delta_f'$ introduced by Bergeron, Garsia, H... |
1,477,468,750,441 | arxiv | \section{Introduction}
\IEEEPARstart{D}{eep} neural networks have achieved remarkable success in various multi-media applications, where sufficiently large-scale and well-labeled data are present. However, manually labeling sufficient data is often time-consuming and labor-exhaustive, thus hard to meet the demand of ra... |
1,477,468,750,442 | arxiv | \chapter{Tangent Myller configurations $\mathfrak{M}_{t}$}
The theory of Myller configurations
$\mathfrak{M}(C,\overline{\xi},\pi)$ presented in the Chapter 2
has an important particular case when the tangent versor fields
$\overline{\alpha}(s)$, $\forall s\in (s_{1},s_{2})$ belong to the
corresponding planes $\pi(s)$... |
1,477,468,750,443 | arxiv | \section{Introduction}
In this paper we are interested in estimating the jump activity index
of a process defined on a filtered probability space $(\Omega,\mathcal
{F},\break (\mathcal{F}_t)_{t\geq0},\mathbb{P})$ and given by
\begin{equation}
\label{eq:X} dX_t = \alpha_{t}\,dt+\sigma_{t-}\,dL_t+dY_t,
\end{equatio... |
1,477,468,750,444 | arxiv | \section{Introduction}
Lattice QCD, the only known first principle non-perturbative approach to QCD,
has made a dramatic progress in the last decade because of the increasing
power in the computing resources and the improvement of the
numerical algorithms for the simulations. Today fully dynamical lattice QCD
simu... |
1,477,468,750,445 | arxiv | \section{Introduction}\label{introduction}}
Cohort state-transition models (cSTMs), commonly known as Markov models, are decision models that simulate disease dynamics over time. cSTMs are widely used to evaluate various health policies and clinical strategies, such as screening and surveillance programs,\textsuperscr... |
1,477,468,750,446 | arxiv | \section{Introduction}
Texture is intuitively defined as a repeated arrangement of a basic pattern or object in an image. There is no universal mathematical definition of a texture though. The human visual system is able to identify and segment different textures in a given image without much effort. Automating this ta... |
1,477,468,750,447 | arxiv | \section{Introduction}
A (block) design is a pair $(\mathcal{P}, \mathcal{B})$ consisting of a finite set $\mathcal{P}$ of points and a finite collection $\mathcal{B}$ of nonempty subsets of $\mathcal{P}$ called blocks. Designs serve as a fundamental tool to investigate combinatorial objects. Also designs have attract... |
1,477,468,750,448 | arxiv | \section{INTRODUCTION}
Among the low-mass X-ray binaries, soft X-ray transients (SXTs) offer
a favorable opportunity of detecting stellar-mass black-hole candidates
(BHCs). Measurements of the binary periods and the orbital velocities
of the companion stars in seven SXTs yield mass functions
$\lower.5ex\hbox{$\; \... |
1,477,468,750,449 | arxiv | \section{Introduction}
Fields with operators appear everywhere in mathematics, and are particularly present in areas close to algebra. The development of differential and difference algebra dates back to J. Ritt (\cite{Ritt}) in the 1950's, and was then further expanded by E. Kolchin (\cite{Ko}, \cite{Ko2}) and R. C... |
1,477,468,750,450 | arxiv | \section{Introduction}
It has been suggested that orbital angular momentum carried by participants in off-central heavy ion collisions (HIC) can result in spin polarization of final state particles \cite{Liang:2004ph,Liang:2004xn}. Realistic model calculations have indicated that significant vorticity is present in qu... |
1,477,468,750,451 | arxiv | \section{introduction}
One of the standard assumptions of textbook quantum mechanics is the ``L\"uders rule'' which states that when an observable---represented by a self-adjoint operator with a non-degenerate spectrum---is measured in a system, the state of the system collapses to the eigenstate of the observable a... |
1,477,468,750,452 | arxiv | \section{Introduction} \label{sec:I}
\vspace{-.3cm}\IEEEPARstart{T}{he} use of smartphones and data-hungry applications in radio access networks are increasing dramatically worldwide\ignore{\cite{1}}. This growth impacts the ability of traditional wireless networks to meet the required Quality-of-Service (QoS) for its ... |
1,477,468,750,453 | arxiv | \section{Introduction}
Consider the stochastic dynamics $X_t$ on ${\mathbb R}^d$ satisfying
\begin{equation}\label{1}
dX_t = -\nabla V(X_t)\,dt + \sqrt{2\beta^{-1}} \,dW_t,
\end{equation}
called {\em Brownian dynamics} or {\em overdamped Langevin dynamics}.
Here $V:{\mathbb R}^d \to \mathbb R$ is a smooth function,... |
1,477,468,750,454 | arxiv | \section{Introduction}
\label{sec:intro}
Production of an energetic photon in association with hadrons probes the
short-distance dynamics of electron-positron, hadron-hadron, and
lepton-hadron reactions. In addition to providing valuable tests of
perturbative quantum chromodynamics (pQCD), data from electron-positron... |
1,477,468,750,455 | arxiv | \section{Introduction}
It is now widely accepted that the stellar density distribution
perpendicular to the Galactic disk traces at least two stellar
components, the thin and the thick disks. The change of slope
in the logarithm of the vertical density distributions at
$\sim$ 700\,pc (Cabrera-Lav... |
1,477,468,750,456 | arxiv | \section{Introduction}
\noindent
Theoretically, a distribution is log-symmetric when the corresponding random variable and its reciprocal have the same distribution \citep{Jones2008}. A characterization of distributions of this type can be constructed by taking the exponential function of a symmetric random variable.... |
1,477,468,750,457 | arxiv | \section{Introduction}
4U~1626--67 is a remarkable ultra-compact X-ray binary bearing a neutron star with pulse period
of 7.7~seconds \citep{Rappaport77}.
Evidence of binary motion has never been revealed from X-ray timing measurements
\citep[see e.g.,][]{Rappaport77,Joss78,Jain08}.
Orbital period of 42~minutes has be... |
1,477,468,750,458 | arxiv | \section{Introduction}
A fascinating open problem of modern physics is a satisfactory
understanding of the structure of spacetime at very short length scale, of
the order of the Planck length $\lambda_P \sim 10^{-33}~cm$. On one side
the difficulties of quantization of gravity in canonical ways can be only
due to tech... |
1,477,468,750,459 | arxiv | \section{Introduction and Related Works}
\label{sec:intro}
Modern video compression systems widely adopt coding mode competition to select
the best performing tool given the signal. Coding performance improvements
of MPEG/ITU video codecs (AVC, HEVC and VVC) \cite{DBLP:journals/cm/MarpeWS06,
Sullivan:2012:OHE:2709080.... |
1,477,468,750,460 | arxiv | \section{Introduction}
Pfister's Local-Global Principle says that a regular quadratic form over a (formally) real field represents a torsion element in the Witt ring if and only if its signature at each ordering of the field is zero.
This result has been extended in \cite{LU} to central simple algebras with involut... |
1,477,468,750,461 | arxiv | \section{Introduction}
Textile concepts in mythological cosmology go back to antiquity, e.g.\ to the Fates spinning a tapestry representing destiny, and the planets riding on spheres rotating about a cosmic spindle\footnote{Spindle in the sense of a rod for spinning wool into yarn, mentioned in Plato's {\it Republic} \... |
1,477,468,750,462 | arxiv | \section{Introduction}
The Standard Model of electroweak interactions
\cite{Glashow:1961tr,Weinberg:1967tq,Salam:1968rm} is at the core of today's
understanding of fundamental physics. The breaking of the electroweak symmetry
through the Higgs mechanism is the origin of the masses of all other elementary
particles in ... |
1,477,468,750,463 | arxiv | \section{Introduction}
The availability of large data sets has led to an increasing interest in variable selection methods applied to regression models with many potential variables but few observations ({\it large} $p$, {\it small} $n$ problems). Frequentist approaches have mainly concentrated on providing point es... |
1,477,468,750,464 | arxiv | \section{Derivation of the TDVP equation}
The basic idea of a TDVP is to minimize the distance
\begin{equation}
\mathcal{D}\left(P_{\theta(t)} + \dot{P}_{\theta(t)} \tau, P_{\theta(t)} + \sum_k \frac{\partial P_{\theta(t)}}{\partial \theta_k}\dot{\theta}_k \tau\right),
\end{equation}
between the evolved state at time ... |
1,477,468,750,465 | arxiv | \section{Introduction}
In 2015, the LHCb collaboration studied the $\Lambda_b^0\to J/\psi K^- p$ decays and observed two pentaquark candidates $P_c(4380)$ and $P_c(4450)$ in the $J/\psi p$ mass spectrum with the significances of more than $9\sigma$ \cite{LHCb-4380}.
Recently, the LHCb collaboration studied the... |
1,477,468,750,466 | arxiv | \section{Introduction}
Gravitational microlensing has opened a unique window for probing extrasolar planets beyond the snowline (the minimum radius from a star at which water ice could have condensed) \citep{Shude1991,Andy1992, Gaudi2012, 2012RAA....12..947M, 2016ASSL..428..135G}. Among the 132 confirmed microlens pla... |
1,477,468,750,467 | arxiv | \section{Introduction}
The field of Numerical Relativity (NR) has progressed at a remarkable
pace since the breakthroughs of 2005~\cite{Pretorius:2005gq,
Campanelli:2005dd, Baker:2005vv} with the first successful fully
non-linear dynamical numerical simulation of the inspiral, merger, and
ringdown of an orbiting black... |
1,477,468,750,468 | arxiv | \section{Introduction}
\label{sec:intro}
Heavy-tailed sensor array data arises e.g. due to clutter in radar \cite{Gini-Greco2002} and interference in wireless links \cite{Clavier2021}.
Such array data demand statistically robust array processing.
There is a rich literature on statistical robustness
\cite{Huber2011... |
1,477,468,750,469 | arxiv | \section{Introduction}
The leptonic decays of mesons provide access to experimentally clean measurements of
the meson decay constants or the relevant Cabibbo-Kobayashi-Maskawa
matrix elements. In the Standard Model (SM) the branching fraction for a leptonic decay of
a charged pseudoscalar meson, such as $D^+_s$, is gi... |
1,477,468,750,470 | arxiv | \subsubsection*{{\textsf{2.1 The Purely Magnetic Case }}}
We begin with a purely magnetically charged black hole, $Q^* = 0$; the holographic dual is a plasma with zero or negligible baryonic chemical potential (see below), permeated by a transverse magnetic field with intensity related to $P^*$ (see equation (\ref{H}) ... |
1,477,468,750,471 | arxiv | \section{Introduction}
A range of fractals which we come across during studies occur as graph of functions. Certainly, many natural phenomena such as wind speeds, solar radiation, population, stock market price etc. are plotted against time, that is, we capture them in graphs. The graph of functions and its box and Hau... |
1,477,468,750,472 | arxiv | \section{Introduction}
Let $(U_t)$ be a one-dimensional time-homogeneous diffusion process satisfying the stochastic differential equation
\[ dU_t = \nu(U_t) dt + \sigma(U_t) dW_t, \qquad U_0 = u_0, \]
where $(W_t)$ denotes a Brownian motion. The aim of this note is to bound, from above and below, the transition p... |
1,477,468,750,473 | arxiv | \section{INTRODUCTION}
In 1995, the atomic physics community witnessed the coolest state of matter
realized in the laboratory by that time. With lasers and
electromagnetic fields, atomic Bose gases were trapped and cooled
to within a micro-Kelvin to make them coalesce into a single quantum
wave, known as a Bose-Eins... |
1,477,468,750,474 | arxiv | \section{Introduction}
{\bf Spectrum, pseudospectrum and lower norm.}
Given a bounded linear operator $A$ on a Banach space $X$, we denote its {\sl spectrum} and {\sl pseudospectra} \cite{TrefEmb}, respectively, by
\[
\spec A\ :=\ \{\lambda\in\C: A-\lambda I \text{ is not invertible}\}
\]
and
\begin{equation} \l... |
1,477,468,750,475 | arxiv | \section{Inroduction}
Economical and financial systems are attractive to physicists because of their highly dynamic and complex structure which is generally much more challenging as a complex system than systems exhibiting a high degree of symmetry studied in traditional physics. The goal of this paper is to derive ana... |
1,477,468,750,476 | arxiv | \section{\normalsize INTRODUCTION}\label{sec1}
Not long ago, multivariate analysis was mainly based on linear methods illustrated on
small to medium-sized data sets. However, many novel developments, have permitted the
introduction of several innovative statistical and mathematical tools for high-dimensional data
... |
1,477,468,750,477 | arxiv | \chapter{Processing Transient Alerts}
\label{chap:alerts}
\chaptoc{}
\section{Introduction}
\label{sec:alerts_intro}
\begin{colsection}
In this chapter I describe the software used by GOTO to process alerts generated from transient astronomical events, including gravitational-wave detections.
\begin{itemize}
... |
1,477,468,750,478 | arxiv |
\section{Detecting Unexpected Objects}
The legend for the semantic class colors used throughout the article is given in Fig.~\ref{fig:supplement_semantic_colors}.
We present additional examples of the anomaly detection task in Fig.~\ref{fig:supplement_extra_samples}.
The synthetic training process... |
1,477,468,750,479 | arxiv |
\section{Introduction}
\label{sec:intro}
Modern deep generative modeling paradigms offer a powerful approach for learning data distributions.
Pioneering models in this family such as generative adversarial networks (GANs) \citep{GoodfellowPMXWOCB14} and variational autoencoders (VAEs) \citep{KingmaW13}
propose
elega... |
1,477,468,750,480 | arxiv |
\section{Case Study}
\par From the experimental results presented in Section 5.2, we are able to maintain the best performance when we select nodes with top 3\% all centralities as central nodes and apply 1NN to train a model for malware detection. Therefore, we choose these three parameters\footnote{Classification... |
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