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2,869,038,154,428 | arxiv | \section{Introduction}
In this paper, we study the stochastically forced system of isentropic Euler equations of gas dynamics with a $\gamma$-law for the pressure. \smallskip
Let $(\Omega,\mathcal{F},\mathbb{P},(\mathcal{F}_t),(\beta_k(t)))$ be a stochastic basis, let $\mathbb{T}$ be the one-dimensional torus, let $T... |
2,869,038,154,429 | arxiv | \section{overoveroverview}
|
2,869,038,154,430 | arxiv | \section{Introduction}
Consider a system of $N$ unitary-charged particles of negligible mass under the effect of the Coulomb force. We may describe the stationary states using a wave-function $\psi(x_1, \dotsc, x_N)$, where $x_j \in \mathbb{R}^3$; via the Born interpretation, $\abs{\psi(x_1, \dotsc, x_N)}^2$ may be vi... |
2,869,038,154,431 | arxiv | \section{Introduction, motivation and description of the results}\label{s1}
\subsection{Category $\mathcal{O}$}\label{s1.1}
Let $\mathfrak{g}$ be a semi-simple, finite dimensional Lie algebra over $\mathbb{C}$
with a fixed triangular decomposition
\begin{displaymath}
\mathfrak{g}=\mathfrak{n}_-\oplus \mathfrak{h}\opl... |
2,869,038,154,432 | arxiv | \section{Introduction}
Spintronics is
an emerging field in condensed matter physics, which focuses on the generation, manipulation, and detection of spin current\cite{MaekawaEd2012}.
Two mechanisms of spin-current generation have been repeatedly confirmed: the spin-orbit coupling driven and the exchange coupling dri... |
2,869,038,154,433 | arxiv |
\section{Literature Overview of Comparison Studies}
\label{related_work}
A growing body of work discusses comparisons of humans and machines on a higher level. \citet{majaj2018deep} provide a broad overview how machine learning can help vision scientists to study biological vision, while \cite{barrett2019analyzing} re... |
2,869,038,154,434 | arxiv | \section{Introduction and Summary}
The phase diagram of the black-hole black-string transition (see the
reviews \cite{review,HOrev}) was conjectured in \cite{TopChange} to
include a ``merger'' point -- a static vacuum metric (see figure
\ref{merger-figure}) which lies on the boundary between the
black-string and b... |
2,869,038,154,435 | arxiv | \section{Introduction}
Isotropic categories are local versions of motivic categories, obtained by, roughly speaking, killing all anisotropic varieties. Although they often have a handier structure than their global versions, they exhibit some key characteristics of both motivic and classical topological phenomena. In ... |
2,869,038,154,436 | arxiv | \section{Introduction and Statement of Main Results}
A Calder\'on--Zygmund operator associated to a kernel $K(x,y)$ is an integral operator:
$$
\mathbf{T}f(x):=\int_{\mathbb{R}^n} K(x,y)f(y)\,dy,\quad x\notin\textnormal{supp} f,
$$
where the kernel satisfies the standard size and smoothness estimates
\begin{gather*}
\... |
2,869,038,154,437 | arxiv | \section{Introduction}
This paper establishes robustness of an algorithm for recovering a vector $x_0 \in \mathbb{R}^n$ from phaseless linear measurements that contain noise and a constant fraction of gross, arbitrary errors. That is, for fixed measurement vectors $a_i \in \mathbb{R}^n$ for $i = 1 \ldots m$, our task ... |
2,869,038,154,438 | arxiv | \section{Notations}
Given a finite simple graph $G=(V,E)$ with vertex set $V$ and edge set $E$,
the {\bf Barycentric refinement} $G_1=(V_1,E_1)$ is the graph for which $V_1$
consists of all nonempty complete subgraphs of $G$ and where $E_1$ consists of all
unordered distinct pairs in $V_1$, for which one is a subgrap... |
2,869,038,154,439 | arxiv | \section{Introduction}
Back-action of measurement on the measured object is an emblematic property of quantum systems.
Quantum Zeno effect (QZE) - suppression of the object's coherent internal dynamics by measurement -
is one of the marked scenarios for that back-action. In this work we are going to discuss the
back-ac... |
2,869,038,154,440 | arxiv |
\section*{Acknowledgments}
The computing resources used for our numerical study and the related technical support have been provided by the CRESCO/ENEA\-GRID High Performance Computing infrastructure and its staff \cite{Ponti}. CRESCO ({\color{red}C}omputational {\color{red} RES}earch centre on {\color{red} CO}mplex... |
2,869,038,154,441 | arxiv | \section{Introduction}
Latent Dirichlet allocation (LDA)~\citep{Blei:03} is a three-layer hierarchical Bayesian model
for probabilistic topic modeling, computer vision and computational biology~\citep{Blei:12}.
The collections of documents can be represented as a document-word co-occurrence matrix,
where each element ... |
2,869,038,154,442 | arxiv | \section{Introduction}
Two-dimensional electron systems (2DES) are convenient platforms for numerous physical experiments and applications. Adding up lateral modulation turns a system into two-dimensional metamaterial and opens additional functionality, like gate-tunable superconductivity in a lattice of superconducti... |
2,869,038,154,443 | arxiv |
\section{Introduction}
\label{sec:intro}
\sloppy
In this paper, we focus on translating a person image from one pose to another and a facial image from one expression to another, as depicted in Figure~\ref{fig:motivation}(a).
Existing person pose and facial image generation methods, such as \cite{ma2017pose,ma2018di... |
2,869,038,154,444 | arxiv | \section{Introduction}
Given an infinite discrete group of isometries $\Gamma$ of a proper
metric space $X$, the {\it orbital counting problem} studies, for
fixed $x_0,y_0\in X$, the asymptotic as $t\rightarrow +\infty$ of
$$
{\operatorname{Card}}\{\gamma\in\Gamma\;:\; d(x_0,\gamma y_0)\leq t\}\;.
$$
Initiated by Gaus... |
2,869,038,154,445 | arxiv | \section{Introduction}
UPt$_3$~\cite{stewart:1984} belongs to the first generation of the family of
heavy-fermion superconductors together with CeCu$_2$Si$_2$ and UBe$_{13}$
and has unique superconducting properties compared with them.
Immediately after the pioneering discovery~\cite{fisher:1989} of the double s... |
2,869,038,154,446 | arxiv | \section{Introduction}
\IEEEPARstart{P}{erson} re-identification (Re-ID) is to match images of the same individual captured by different cameras with non-overlapping camera views~\cite{DBLP:journals/tmm/ChenLLCH11}. Broadly, person Re-ID can be treated as a special case of the image retrieval problem with the goal of q... |
2,869,038,154,447 | arxiv | \section{Introduction}
The detection of binary black hole (BBH) mergers via gravitational wave (GW) emission became routine by the O3 observational run of the LIGO and Virgo collaborations. To date, tens of BBH mergers have been detected, with an overall merger rate density of $\mathcal{R}_{\rm BBH}=23.9^{+14.9} _{-8.... |
2,869,038,154,448 | arxiv | \section{Introduction\label{secfe}}
\subsection{What We Want to Do}
We address the question whether it is possible to represent geometrically a
function $\psi$ of the variables $x=(x_{1},x_{2},..,x_{n})$. The problem is in
fact easy to answer if $\psi$ is a Gaussian function because then its Wigner
transform i... |
2,869,038,154,449 | arxiv | \section{Introduction}
Continuous first-order logic is a generalization of first-order logic suitable for studying metric structures, which are mathematical structures with an underlying complete metric and with uniformly continuous functions and $\mathbb{R}$-valued predicates. A rich class of metric structures arise ... |
2,869,038,154,450 | arxiv | \section{Introduction}
One of the most intriguing astrophysical objects are the ultra-luminous X-ray sources (ULXs) that have been
discovered around nearby galaxies by the X-ray satellites {\itshape Einstein}, {\itshape ROSAT}, {\itshape
Chandra} and {\itshape XMM}. Assuming that they are at the same distance as their... |
2,869,038,154,451 | arxiv | \section{Introduction}
Current operating imaging atmospheric Cherenkov telescopes (IACTs): H.E.S.S., MAGIC and VERITAS, have reflective dishes segmented into mirror facets. The effective mirror area and the quality of the Cherenkov light shower images play a key role in the performance of these telescopes.
At prese... |
2,869,038,154,452 | arxiv | \section{Introduction}
It is believed, that variety of the magnetic fields observed in astrophysics and technics can be explained in terms of the dynamo theory, e.g. \citep{HR2004}. The main idea is that kinetic energy of the conductive motions is transformed into the energy of the magnetic field. Magnetic field gene... |
2,869,038,154,453 | arxiv |
\section{Introduction}
Research on compressive sensing \cite{CompressedSensing-06,Candes-CompressiveSampling-06} focuses on properties of underdetermined linear systems
\begin{equation} \label{eq:Ax=b}
A x = b,\qquad A \in \mathbb{R}^{m \times n},\qquad
m \ll n,
\end{equation}
that ensure the accurate recovery of s... |
2,869,038,154,454 | arxiv | \section{Introduction}
Research on spin coherence generation, manipulation and detection
has become a topical area in semiconductor
physics.\cite{awschalom_book,spin_phys} A prospective system to
study spin coherence is an ensemble of $n$-type quantum dots (QDs).
Short optical pulses can induce efficiently long-... |
2,869,038,154,455 | arxiv |
\section{Introduction}
Deep reinforcement learning has shown remarkable successes in the past
few years. Applications in game playing and robotics have shown the
power of this
paradigm with applications such as learning to play Go from scratch or flying an acrobatic model helicopter~\citep{mnih2015human,silver2... |
2,869,038,154,456 | arxiv | \chapter{\clearpage\thispagestyle{plain}\global\@topnum\mf{z}@
\@afterindenttrue \secdef\@chapter\@schapter}
\makeatother
\newtheorem{thm} {Theorem} [section]
\newtheorem{prop}{Proposition} [section]
\newtheorem{lem} {Lemma} [section]
\newtheorem{cor} {Corollary}[section]
\newtheorem{Def} {Definition} [sect... |
2,869,038,154,457 | arxiv | \section{\label{sec:level1}Introduction}
The elastic scattering of light heavy-ions at intermediate energies has clearly
demonstrated the sensitivity at large angles to the underlying optical potential
through the "appearance" in the angular distribution of Airy oscillations
associated with nuclear rainbow scattering ... |
2,869,038,154,458 | arxiv | \section{Introduction}\label{s:Introduction}
Flow control of turbulent flows, in particular with the purpose of drag reduction, is a recurrent research objective that has regained interest during the last decade \citep{Noack2019control}. Machine learning, in particular, plays a key role in the development of sophistic... |
2,869,038,154,459 | arxiv | \section*{Introduction}
\label{sec:introduction}
For data assimilation problems there are different ways in utilizing the available observations. While certain data assimilation algorithms, for instance, the ensemble Kalman filter (EnKF, see, for example, \cite{Aanonsen-ensemble-2009,Evensen2006}), assimilate the obse... |
2,869,038,154,460 | arxiv | \section{Introduction}
\label{sec:introduction}
There has been considerable interest in diffusive-growth processes including growth phenomena for a droplet on a substrate. This growth phenomena in the case where diffusion and coalescence play the major roles are common in many areas of science and technology \cite{sc1... |
2,869,038,154,461 | arxiv | \section{Introduction}
The basic goal of density-functional theory is to express the energy
of a quantum-mechanical state in terms only of its one-particle
density $\rho(\mathbf{r})$ and then to minimize the resulting functional (the
`density functional') with respect to $\rho(\mathbf{r})$ (under the subsidiary
condit... |
2,869,038,154,462 | arxiv | \section{Introduction}
\IEEEPARstart{A}s the semiconductor industry pushes the limits of transistor technology in a never ending pursuit of miniaturization, radiation effects have become a serious concern not only for aerospace and military applications, but also for terrestrial applications. Of the many radiation eff... |
2,869,038,154,463 | arxiv | \section{Introduction}
The rotational dynamics of small anisotropic material particles (\textit{e.g.} rods or disks) in turbulent flows has been the focus of a series of recent studies, see \cite{VothARFM2017} for a review.
Few state-of-the-art experiments \cite{ParsaPRL2012,ParsaPRL2014,Marcus2014,Byron2015,ni_kra... |
2,869,038,154,464 | arxiv | \section{Introduction}
Many sciences today rely heavily on the use of Monte Carlo simulation. In
High Energy Physics (HEP) for example it is used in practically every stage
of an experiment from the design of the detectors to the final analyses.
This brings up the question of the precision of the MC simulation. I... |
2,869,038,154,465 | arxiv | \section{Introduction}
\label{sec:intro}
This article presents the framework for deriving the {\em local capacity} in a wireless ad hoc network with various medium access schemes. The local capacity is defined as the average information rate received by a node randomly located in the network. The seminal work of Gupta... |
2,869,038,154,466 | arxiv |
\section{Introduction}
\label{sec:intro}
Generative adversarial networks (GANs)~\cite{gan} have achieved remarkable success in learning to synthesize realistic images, which is crucial for a plethora of applications in computer graphics and vision~\cite{stylegan, stylegan2}.
Notably, GANs allow us to explore synthesi... |
2,869,038,154,467 | arxiv | \section{Group data}
\begin{table}[htb!]
\centering
\begin{tabular}{||c|c|c|c|c|c|c|c|c|c|c|c|c|c|c||}
\hline
$p$ & 2 & 3 & 5 & 7 & 11 & 13 & 17 & 19 & 23 & 29 & 31 & 41 & 59 & 71 \\ [0.5ex]
\hline\hline
$\overline{\mu}_{0}^{+}$ & $\tfrac{3}{2}$ & 2 & 3 & 4 & 6 & 7 & 9 & 10 & 12 & 15 & 16 & 2... |
2,869,038,154,468 | arxiv | \section*{References}}
\journal{Journal of Multivariate Analysis}
\begin{document}
\begin{frontmatter}
\title{Second order statistics of robust estimators of scatter. \\ Application to GLRT detection for elliptical signals\tnoteref{t1}}
\tnotetext[t1]{ Couillet's work is supported by the ERC MORE EC--120... |
2,869,038,154,469 | arxiv | \section{Introduction} \label{s.intro}
\subsection{The Coulomb gas and a model computation.}\ \label{s.intro1}
For $d \geq 2$, the $d$-dimensional Coulomb gas (or one-component plasma) at inverse temperature $\beta \in (0,\infty)$ is a probability measure on point configurations $X_N = (x_1,\ldots,x_N) \in (\mathbb{R... |
2,869,038,154,470 | arxiv | \section{Field Theory Approach}
We normalise the free boson Hamitlonian density:
\begin{equation} {\cal H}={1\over 2}[(\partial_x \phi )^2+(\partial_x\theta )^2].\end{equation}
The staggered components of the spin operators are represented in the conformal embedding by
\begin{equation} \hbox{tr}g\vec \sigma \propto i\s... |
2,869,038,154,471 | arxiv | \section*{Introduction}
Let $S=K[x_1,\ldots,x_n]$, $n\in {\bf N}$, be a polynomial ring over a field $K$ and $\mm=(x_1.\ldots,x_n)$.
Let $I\supsetneq J$ be two monomial ideals of $S$ and $u\in I \setminus J$ a monomial.
For $Z\subset \{x_1,\ldots ,x_n\}$ with $(J:u)\cap K[Z]=0$, let $uK[Z]$ be the linear $K... |
2,869,038,154,472 | arxiv | \section{Introduction}
Cluster algebras were first developed
by Fomin and Zelevinsky more than a decade ago \cite{fz1}.
Their structure arises in diverse parts of mathematics and theoretical physics,
including Lie theory, quantum algebras, Teichm\"uller theory,
discrete integrable systems and T- and Y-systems.
... |
2,869,038,154,473 | arxiv | \section{Introduction}
White dwarfs represent the last evolutionary stage of low and
intermediate mass stars, i.e. stars with masses smaller than $10\pm 2
\, M_\odot$. Most of them are composed of carbon and oxygen, but white
dwarfs with masses smaller than $0.4\, M_\odot$ are made of helium and
are members ... |
2,869,038,154,474 | arxiv | \section{Introduction}
\input{sections/Intro}
\section{Emulator Design}
\label{sec:design}
\input{sections/design}
\subsection{Base Model}
\label{subsec:analytic_emu}
\input{sections/analyticEmu}
\subsection{Nonlinear Boost Emulator}
\label{subsec:boost_emu}
\input{sections/boostEmu}
\subsection{Neural Networks as ... |
2,869,038,154,475 | arxiv | \section{Introduction}
Currently the biggest obstacle to the development of quantum computing continues
to be control of quantum errors. Since the beginnings of quantum computing
in the 90s of the last century one of the main research objectives was to
solve this stumbling block. To address the problem, two fundamenta... |
2,869,038,154,476 | arxiv | \section{Introduction}
\label{sec:intro}
In the Standard Model (SM) of particle physics one fundamental complex scalar $SU(2)_L$ doublet field $\Phi$ with hypercharge $+\tfrac{1}{2}$ and a scalar potential $V(\Phi) = \mu^2 \Phi^\dagger \Phi + \lambda (\Phi^\dagger \Phi)^2$ is responsible for the spontaneous breaking o... |
2,869,038,154,477 | arxiv | \section{Introduction}
In \cite{KR}, Kassel and Reutenauer studies the zeta function of the Hilbert scheme of $n$ points in the two-torus.
The polynomial counting ideals of codimension $n$ in the Laurent algebra in two variables turns out to have an interesting quotient, whose middle coefficient $a_{n,0}$ has a direct ... |
2,869,038,154,478 | arxiv | \section{Introduction}
Although low mass binary stars are the most abundant stars in the galaxy
(Henry et al. 1999),
their intrinsic faintness inhibits their detection and study.
Non-contact eclipsing binary M dwarf systems have
great value, as these systems allow accurate estimates
of the most basic stellar parame... |
2,869,038,154,479 | arxiv | \section{Introduction}
Elliptic flow is an important signature of collective dynamics in non-central heavy-ion collisions at
high energies. It is driven by anisotropic pressure gradients built up during the
early stage of the collision due to the geometrically anisotropic overlap zone
of the colliding nuclei. Moreover... |
2,869,038,154,480 | arxiv | \section{Introduction}
Forecast is a major task from statistics and often of crucial importance for decision making. In the simple case when the quantity of interest is univariate and quantitative, point forecast often takes the form of regression where one aims at estimating the conditional mean (or the conditional qu... |
2,869,038,154,481 | arxiv | \section{Introduction}
The {\it Layout Optimization Problem} (LOP) concerns the physical
placement of instruments or pieces of equipment in a spacecraft or
satellite. Because these objects have mass, the system is subject to
additional constraints (beyond simple Cartesian packing) that affect
our solution. The two mai... |
2,869,038,154,482 | arxiv | \section{Introduction}
The quantum effects of the 2 dimensional (2d) gravitational theories are
recently measured numerically
in the computer simulation with high statistics.
In particular the data for the entropy exponent
(string susceptibility) in 2d
quantum gravity(QG) is the same as the known exact result within
... |
2,869,038,154,483 | arxiv | \section{Introduction}
In the recent literature one finds many alternative proposals for modeling and estimating a smooth function. In this article we focus on variants of smoothing splines, called penalized regression splines (\cite{Montoya14}, \cite{brian:eilers:1996}). This is an attractive approach for modeling th... |
2,869,038,154,484 | arxiv | \section{Introduction}
Quantum computers can solve certain problems faster than any known
classical algorithm: the best-known examples are probably Shor's
algorithm \cite{Shor94a, Shor97a}
for factoring integers in time polynomial in the number of
digits needed to represent them, and Grover's ``search'' algorithm
\cite... |
2,869,038,154,485 | arxiv | \section{Introduction}
The present project is motivated by insufficient knowledge about long-lived
radioisotopes, which can be produced during proton therapy \cite{review,
janis}. Except for the high linear transfer of energy, the efficiency of
particle therapy can also be augmented by induced radioactivity. During
r... |
2,869,038,154,486 | arxiv | \section{Introduction}
Every mathematician learns that the axioms of an ordered field
(the properties of the numbers 0 and 1, the binary relation $<$,
and the binary operations $+$, $-$, $\times$, $\div$)
don't suffice as a basis for real analysis;
some sort of heavier-duty axiom is required.
Unlike the axioms of an ... |
2,869,038,154,487 | arxiv | \section{INTRODUCTION}\label{section:intro}
\label{introduction}
Nonparametric testing of independence or interaction between random variables is a core staple of machine learning and statistics. The majority of nonparametric statistical tests of independence for continuous-valued random variables rely on the assumpt... |
2,869,038,154,488 | arxiv | \section{Introduction}\label{Sec1}
We begin with our main definition.
\begin{definition}\label{MainDef}
Let $G$ be a finite group and for $g,h\in G$ let
\[
\Sigma(g,h):=\bigcup_{i=1}^{|G|}\bigcup_{k\in G}\{(g^i)^k,(h^i)^k,((gh)^i)^k\}.
\]
A set of elements $\{\{x_1,y_1\},\{x_2,y_2\}\}\subset G\times G$ is a
... |
2,869,038,154,489 | arxiv | \section{\label{}}
\section{Introduction}
In the search for new phenomena, one well-motivated extension to the Standard Model (SM) is supersymmetry (SUSY). One very promising mode for SUSY discovery at hadron colliders is that of
chargino-neutralino associated production with decay into three leptons. Charginos decay... |
2,869,038,154,490 | arxiv | \section{Introduction}
The Cosmic Ray (CR) spectrum has been measured to unprecedented accuracy between the eneries of $\sim10^9\mbox{eV}$ and $\sim10^{20}\mbox{eV}$. Two features in the spectrum where there is a change in the CR spectral shape, the second Knee at the energy $\sim0.6\mbox{EeV}$ \citep[e.g.][]{2007APh... |
2,869,038,154,491 | arxiv | \section{Introduction.}
Strong correlations lead to unconventional behavior.
This is in particular true for heavy fermion materials, where elements with partially filled f-shells contribute strongly localized $f$-electrons that are perceived as local moments by the conduction electrons of the s-, p- or d-shells.
It ... |
2,869,038,154,492 | arxiv | \section{Introduction}
\label{sec:intro}
The study of impact cratering and ejecta generation has been at the forefront of recent exploration missions toward small bodies of the Solar System. In 2005, NASA's mission Deep Impact collided with comet Tempel1 at a speed of more than 6 km/s \citep{blume2003deep}; in 2019, J... |
2,869,038,154,493 | arxiv | \section{Introduction}
We are motivated to accelerate solver methods
for differential-algebraic equations (DAEs).
Many mathematical methods are based on such combination of
differential and algebraic equations, e.g., simulations of the power systems,
constrained mechanical systems, singular perturbations, see \cite{... |
2,869,038,154,494 | arxiv | \section{Introduction}
Entanglement is the crucial resource for quantum information
processing and as such the "currency" to pay with in almost all
applications. For two-partite quantum states measures have been
developed that uniquely specify the value of this resource. In
contrast, for n-partite states the picture ch... |
2,869,038,154,495 | arxiv | \section{Introduction}
\setcounter{equation}{0}
The detailed investigation of $\alpha$-decay is a topic that
leads to a thorough understanding of the application of quantum
mechanics to atomic and nuclear physics,
since it is necessary to have a good knowledge of metastable states
\cite{B1,B2} and of the Jeffreys-We... |
2,869,038,154,496 | arxiv | \section{Introduction}
We consider the time evolution of a physical system where a set of
particles can aggregate into groups of two or more, called
\emph{clusters}, and where these clusters can diffuse in space with a
diffusion constant which depends on their size. If we represent space
by an open bounded set $\Omega ... |
2,869,038,154,497 | arxiv | \section{Introduction}\label{s:introduction}
In this paper we examine how two standard properties of finite-dimensional linear
programming, strong duality and sensitivity analysis, carry over to semi-infinite linear programs (SILPs). Our standard
form for a semi-infinite linear program is
\begin{align*}\label{eq:SIL... |
2,869,038,154,498 | arxiv |
\section{Introduction}
\input{sections/01_intro.tex}
\section{Fake News in a Neural and Adversarial Setting}
\input{sections/02_overview.tex}
\section{{\textsc{Grover}}: Modeling Conditional Generation of Neural Fake News}
\input{sections/03_genmodel.tex}
\section{Humans are Easily Fooled by {\textsc{Grover}}... |
2,869,038,154,499 | arxiv | \section{Introduction}
\section{Introduction} |
2,869,038,154,500 | arxiv |
\subsection{Preliminary}
\paragraph{Notations} For every set $\mathcal{A}$, we use $\Delta_{\mathcal{A}}$ to denote the set of all possible distributions over $\mathcal{A}$. For every integer $M$, we use $[M]$ to denote $\{1,2,\dots,M\}$. For every matrix $\mathbf{A}=(A_{i,j})_{i,j}\in\mathbb{R^+}^{s\times t}$, we def... |
2,869,038,154,501 | arxiv | \section{Introduction} \label{sec:intro}
Device-to-device (D2D) communication enables wireless peer-to-peer services directly between user equipments (UEs) to facilitate high data rate local service as well as offload the traffic of cellular base station (i.e., Evolved Node B [eNB] in an LTE-Advanced [LTE-A] network)... |
2,869,038,154,502 | arxiv | \section{Introduction}
Quantum key distribution (QKD) has attracted great attention
as a feasible application of quantum information science with the current device technology \cite{donna}. The goal of a QKD protocol is to share a random bit sequence not known by the eavesdropper Eve, between the legitimate sender Alic... |
2,869,038,154,503 | arxiv | \section{Introduction}
\begin{figure}[t]
\centering
\includegraphics[width=1.0\linewidth]{Figs/BP.pdf}
\vspace{-7mm}
\caption{Overview of our proposal: Weight pruning identifies the `winning Trojan ticket', which can be leveraged for Trojan detection and recovery.
}
\vspace{-5mm}
\l... |
2,869,038,154,504 | arxiv | \section{Introduction}
Advanced classification and regression methods are propelling a revolution in computational chemistry and materials science.\cite{von2020retrospective,goh2017deep,mater2019deep}
Recent advances in statistical modeling open the door to tackling problems of previously prohibitive levels of complex... |
2,869,038,154,505 | arxiv | \section{Introduction}
The objective of the present study is to simulate the behavior of mesoscopic
systems based on an all-atom formulation at which the basic Physics is presumed
known. Traditional molecular dynamics (MD) is ideal for such an approach if
the number of atoms and the timescales of interest are lim... |
2,869,038,154,506 | arxiv | \section{Introduction and motivation}
Understanding generic smooth maps includes the following ingredients:
\begin{enumerate}[a)]
\item Local forms: they describe the map in neighbourhoods of points (see Whitney \cite{Whitney}, Mather \cite{Mather}, Arnold \cite{Arnold1}, \cite{Arnold2} and others).
\item Autom... |
2,869,038,154,507 | arxiv | \subsection{Gyulassy-Wang treatment of induced gluon radiation}
As a first step, we focus on quark rescattering processes in the
spirit of Gyulassy-Wang's approach\refup{GW}.
The derivation basically follows that of the QED case, with the
only essential difference coming from the fact that
the contributions associated... |
2,869,038,154,508 | arxiv | \section{Introduction}
The recent discovery of four additional planets around TRAPPIST-1 with masses and radii similar to the Earth's \citep{Gillon.etal:17}, combined with the three already known \citep{Gillon.etal:16}, makes this system of special importance for characterizing terrestrial exoplanetary atmospheres an... |
2,869,038,154,509 | arxiv | \section{Introduction}
Suppose $X$ is a smooth algebraic curve,
let $\Jac(X)$ denote the Jacobian of $X$,
and let $\Abelj{q} : X \to \Jac(X)$ denote
the Abel--Jacobi map with basepoint $q\in X$.
The Manin--Mumford conjecture,
now a theorem due to Raynaud~\cite{R},
states that if $X$ has genus $g\geq 2$
then the ima... |
2,869,038,154,510 | arxiv | \section{Introduction}
\subsection{Background}
In this paper, we consider
the Cauchy problem of the cubic nonlinear Schr\"odinger equation (NLS)
on $\mathbb{R}^d$, $d\geq 3$:
\begin{equation}
\begin{cases}\label{NLS1}
i \partial_t u + \Delta u = \pm \mathcal{N}(u)\\
u\big|_{t = 0} = u_0 \in H^s(\mathbb{R}^d),
\end{case... |
2,869,038,154,511 | arxiv |
\section{Density Balanced Decomposition}
\label{sec:algo}
Density balance, especially local density balance, is seamlessly integrated into each step of our decomposition flow.
In this section, we first elaborate how to integrate the density balance into the mathematical formulation and corresponding SDP formulation.... |
2,869,038,154,512 | arxiv | \section{Introduction}
Given an image of a person, a pose transformation model aims to reconstruct the person's appearance in another pose. While for humans it is very easy to imagine how a person would appear in a different body pose, it has been a difficult problem in computer vision to generate photorealistic images... |
2,869,038,154,513 | arxiv | \section{Introduction to the characteristic method}
The characteristic methods, especially those within the semi-Lagrangian framework, have proved very successful in solving kinetic equations and other nonlocal problems \cite{CrouseillesLatuSonnendrucker2009,Kormann2015,KormannReuterRampp2019,XiongChenShao2016,GuoLiWa... |
2,869,038,154,514 | arxiv | \section{Introduction}
A scalable fault tolerant universal quantum computer demands quantum error correction codes to protect qubit information from decoherence noises~\cite{shor1995,NC10}. One promising type of quantum error correcting codes is Bosonic quantum codes that encode a logical qubit into a quantum harmonic ... |
2,869,038,154,515 | arxiv | \section{Introduction}
Liquid water is arguably one of the most important liquids due to its role in chemistry, biology and geophysics and, as such, also one of the most studied systems.\cite{RahmanStillinger1971} Despite this, a detailed understanding of the physical chemistry of water is still lacking due to its com... |
2,869,038,154,516 | arxiv | \section{Introduction}
A meromorphic function $Q$ on the upper half-plane $\mathbb H$ is called a
meromorphic modular form of weight $k\in\mathbb Z$ with respect to
$\mathrm{SL}(2,\mathbb Z)$ if $Q$ satisfies
$$
Q(\gamma\cdot z)=(cz+d)^kQ(z),\quad \gamma=\M abcd\in\mathrm{SL}(2,\mathbb Z),
$$
and $Q$ is also meromorphi... |
2,869,038,154,517 | arxiv |
\section{Introduction}
\label{sec:intro}
In the past few years, Neural Networks (NNs) have achieved superiors success in various domains, \textit{e.g.}, computer vision~\cite{computervision}, speech recognition~\cite{speechrecognition}, autonomous systems~\cite{autodriving}, \textit{etc}.
However, the recent appearan... |
2,869,038,154,518 | arxiv | \section{Introduction}
To satisfy the increasingly higher data rate demands, visible light communication (VLC) has drawn tremendous interest from both industry and academia as a promising complement to traditional radio frequency communication (RFC) that suffers from spectrum saturation \cite{Komine,Raja,Elgala}. The m... |
2,869,038,154,519 | arxiv | \section*{Introduction}
Let $E/F$ be a quadratic extension of number fields and $H={\mathrm {U}}} \newcommand{\RV}{{\mathrm {V}}(1,1)$ be the quasi-split unitary group of rank $2$ defined for $E/F$. In $\S$7 of \cite{GRS}, Gelbart, Rogawski and Soudry defined a global zeta integral for ${\mathrm {U}}} \newcommand{\RV}{... |
2,869,038,154,520 | arxiv | \section{Introduction}
Puzzles have long been a staple of video games.
They can be just enjoyable to play, or necessary to advance in the game, and usually provide in-game rewards upon their completion. In terms of design, puzzles can affect in-game economy, if completion of harder puzzles can lead to better rewards, ... |
2,869,038,154,521 | arxiv | \section{Introduction}
\label{sec:intro}
Speech separation aims to separate each source
signal from the mixed speech. Many works have been proposed
to perform the separation either in the time-frequency domain or the purely time-domain,
such as deep clustering \cite{dpcl}, deep attractor network \cite{dan}, permutatio... |
2,869,038,154,522 | arxiv | \section{INTRODUCTION} \label{section:intro}
\begin{figure*}{}
\includegraphics[width = 0.94\textwidth]{fig1.pdf}
\caption{
AGN spectrum extracted from the central 0.2 \arcsec $\times$ 0.2 \arcsec region. In the inset boxes, stellar subtracted spectrum (black),
the combined model (red), and Gaussian components (blue)... |
2,869,038,154,523 | arxiv | \section{Design overview}
\subsection{Status}
The design of the FCC--hh collider has been presented in a Conceptual Design Report (CDR)~\cite{FCC-hhCDR}, which describes the baseline configuration of the ring (see Section~\ref{sec:intro} and following for a brief review of the baseline design and of the recent develo... |
2,869,038,154,524 | arxiv | \section{Introduction}
In this paper, a manifold is assumed to be closed, connected, orientable and smooth.
The systole of a manifold $M$ is the least length of non-contractible closed loops in $M$.
One can generalize this concept to the least volume of $k$--dimensional nonzero homology classes, so called as the h... |
2,869,038,154,525 | arxiv | \section{Introduction}
\input{02_introduction}
\input{03_caveat}
\section{Assumptions}
\input{04_assumptions}
\section{Approach}
\input{05_approach}
\section{Models}
\label{sec:models}
\input{06_models_1_seir}
\subsection{Agent-Based Simulation}
\input{06_models_2_fred}
\section{Experiments}
\input{07_exp_1_seir... |
2,869,038,154,526 | arxiv | \section{\textrm{I}. Quantitative interpretation of the new 2D plasma mode}
To estimate the frequency of the new 2D plasma mode, the plasmon wave can be treated in terms of its equivalent $LC$ oscillator circuit~\cite{Aizin:12, Yoon:14}. Consider each plasmon wave fragment of length $\lambda_p=1/q$ as a separate oscil... |
2,869,038,154,527 | arxiv | \section{Introduction}
Imagine the following persona: Anna is a university student in graphic design. She is active, easy going, and organized; keeping a structured well-planned calendar. She is 21 and high on the trait of Openness to Experience \cite{tkalcic2015personality}, and enjoys traveling to new places and me... |
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