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3,212,635,537,706 | arxiv | \section{Introduction}
An easy calculation shows that the exponential function $f(x) = e^x$ has the
somewhat `paradoxical' property that $cf(x)$ is a translate of $f(x)$ for
every $c>0$. It is also easy to see that every function of the form
$a+be^{kx}$ has this property.
This connection is also of interest fro... |
3,212,635,537,707 | arxiv | \setcounter{equation}{0}\Section{\setcounter{equation}{0}\Section}
\begin{document}
\title[\bf Parabolic Anderson equation]{\bf
Solvability of
parabolic Anderson equation
with fractional Gaussian noise
}
\author{\sc Zhen-Qing Chen }
\address{Department of Mathematics, University of Washington, ... |
3,212,635,537,708 | arxiv | \section{Introduction}
\label{sec:intro}
Consider the saddle-point system
\begin{equation}
\label{eq:sp-system}
\begin{bmatrix}
A & B^T \\
B & 0
\end{bmatrix}
\begin{bmatrix}
x \\
y
\end{bmatrix} =
\begin{bmatrix}
f \\
g
\end{bmatrix},
\end{equation}
where $A \in \mathbb{R}^{n \time... |
3,212,635,537,709 | arxiv | \chapter*{Einleitung}
\label{sec:Einleitung}
\addcontentsline{toc}{chapter}{Einleitung}
\pagestyle{fancy}
\setlength\headheight{22.36pt}
\fancyhf{}
\fancyhead[OR]{\footnotesize\uppercase{Einleitung}}
\fancyhead[EL]{\footnotesize\uppercase{Einleitung}}
\fancyfoot[C]{\thepage}
Es erfordert keine große Kühnheit zu behaupt... |
3,212,635,537,710 | arxiv | \section{Introduction}
Synchronization is one possible form of emergent dynamics
displayed by coupled oscillator systems and this is seen
in a wide variety of physical phenomena, e.g, synchrony among neural activity
in the brain \cite{glass}, intensity of coupled lasers to light pulses emitted
by fireflies \cite{kurth1... |
3,212,635,537,711 | arxiv | \section{Introduction}
Considerable recent interest in the physical literature have been
devoted
to lattices of
the discrete nonlinear Schr\"{o}dinger (dNLS) type with compensated gains
and losses.
For the one-dimensional lattice, a prototypical, mono-parametric
model takes the form
\begin{equation}
\label{... |
3,212,635,537,712 | arxiv | \section*{Acknowledgements} I would like to thank Daniel Erman, Mois\'es Herrad\'on Cueto, Kit Newton, Solly Parenti, Claudiu Raicu, and Melanie Matchett Wood for their helpful conversations and comments. The computer algebra system \texttt{Macaulay2} \cite{M2} provided valuable assistance throughout this work.
\sec... |
3,212,635,537,713 | arxiv | \section{Introduction}
Longitudinal or clustered data, where observations within a unit (cluster) are more correlated than observations from other units (clusters), are very common in areas such as social science and medical research. Further, the data may contain a large number of correlated features relative to the n... |
3,212,635,537,714 | arxiv | \chapter{Agradecimientos}
Son insuficientes los poco (cuarenta, cincuenta, sesenta, ...) a\~nos que me han sido otorgados para agradecerle al profesor Diego Restrepo por su colaboraci\'on, paciencia y amabilidad durante mi camino en el aprendizaje de la f\'isica de part\'iculas. Gracias Diego.\\\\
Deseo tambi\'en exp... |
3,212,635,537,715 | arxiv | \section{Introduction}
The sequential dependence model \cite{metzler2005sdm} is a very robust
retrieval model that has been shown to outperform or to be on par
with many retrieval models \cite{huston2013termdependencies}. Its
robustness comes from an integration of unigram, bigram, and windowed
bigram models through t... |
3,212,635,537,716 | arxiv | \section{Introduction}
Whenever we think about dynamical systems' properties almost inevitably come to mind the concepts of {\textit{stability}} and \textit{robustness}. Loosely speaking, we can say that stability implies same dynamics for maps sufficiently close to each other, and robustness implies the same behavi... |
3,212,635,537,717 | arxiv | \section*{Acknowledgments}
We thank David Garcia for giving access to the extended Twitter data.
We also thank Roman Kern and the anonymous reviewers for their valuable feedback on the manuscript.
Tiago Santos was a recipient of a DOC Fellowship of the Austrian Academy of Sciences at the Institute of Interactive System... |
3,212,635,537,718 | arxiv | \section{Introduction}
With the rapid development of mobile devices and the Internet, a massive amount of video content is being uploaded to the Internet every second.
The volume of video information has far exceeded the processing capacity of the conventional manual system, thus video content analysis has attracted t... |
3,212,635,537,719 | arxiv | \section{Supplemental I. Dispersion relations for the Chern insulator}
\begin{figure*}[t]
\includegraphics[trim=96 240 98 255,clip, width=0.33\linewidth]{Ekya.pdf}\hfill
\includegraphics[trim=96 240 98 255,clip, width=0.33\linewidth]{Ekyb.pdf}\hfill
\includegraphics[trim=96 240 98 255,clip, width=0.33\linewidth]{Ekyc.... |
3,212,635,537,720 | arxiv | \section{Introduction}
It was a widely held intuition in the early days of proper forcing
that a typical application of the Proper Forcing Axiom makes use of a
poset of the form $\sigma\mbox{-closed}\,*\,{\rm ccc}$. The usual
argument was to collapse the size of all objects to $\aleph_1$, then
use a ccc-poset to force... |
3,212,635,537,721 | arxiv | \section{Introduction}
Knowledge of the initial mass function (IMF) of the first stars is critical to our understanding of the earliest stages of galaxy formation,
one of the key frontiers of modern cosmology (see e.g. Barkana \& Loeb 2001; Ciardi \& Ferrara 2005; Bromm et al. 2009; Benson 2010).
While the Populati... |
3,212,635,537,722 | arxiv | \section{Introduction}
The understanding of the
high energy behaviour of QCD in the perturbative Regge limit remains one of the most important and longstanding theoretical questions in particle physics. In the linear regime where gluonic saturation effects are not expected to be essential, QCD dynamics are described... |
3,212,635,537,723 | arxiv | \section{Introduction \vspace{.15cm}}
This paper concerns the semilinear elliptic equation
\begin{equation}\label{eq:PDE}
-\Delta u=f(u) \qquad \text{in }\Omega\subset \mathbb{R}^n,
\end{equation}
where $\Omega$ is a bounded domain, $f\in C^1(\mathbb{R})$, and $u:\overline\Omega \subset \mathbb{R}^n\to \mathbb{R}$.
... |
3,212,635,537,724 | arxiv | \section{Introduction}
\label{sec:dbl}
The properties of strongly correlated electrons confined to a ladder
(or double chain) and described by $t$-$J$ or Hubbard models have
been the subject of intensive investigation recently.\cite{%
dagotto,noack,tsunetsugu94,rice,sigrist,khveshchenko,tsunetsugu95}
The reason lies i... |
3,212,635,537,725 | arxiv |
\section{Introduction}\label{sec_Intro}
The $A_\infty$ T-system \cite{DFK13}, also called the octahedron recurrence, is a discrete dynamical system of formal variables $T_{i,j,k}$ for $i,j,k\in\mathbb{Z}$ satisfying
\[
T_{i,j,k-1}T_{i,j,k+1} = T_{i-1,j,k}T_{i+1,j,k} + T_{i,j-1,k}T_{i,j+1,k}.
\]
This recurrence rela... |
3,212,635,537,726 | arxiv | \section{Introduction}
Accelerating the convergence of Krylov iterative solvers \cite{SAAD:2000:IMS} is an old issue which has returned to the spotlight because of the increasing number of applications for which these are preferred to direct solvers today. Traditional approaches aim at improving the condition number by... |
3,212,635,537,727 | arxiv | \section{Introduction}
Samarium hexaboride (SmB$_6$) has attracted a great deal of interest after the theoretical prediction that it is a topological Kondo insulator. For half a century, SmB$_6$ has been known to be a Kondo insulator, the insulating gap forming by the hybridization of the 4$f$ and the 5$d$ bands. In 2... |
3,212,635,537,728 | arxiv | \section{Introduction
At very short time and length scales the diffusive motion of a Brownian particle breaks down into a series of individual ballistic flights. The functional form of this transition is controlled by the microscopic structure and behavior of the fluid. The microscopic time and length scales for the ... |
3,212,635,537,729 | arxiv | \section{Introduction}
\seclab{intro}
The lunar Askaryan technique began with Askaryan's predictions for coherent radio--microwave radiation arising from a build-up of a negative charge excess in particle cascades, and his identification of the lunar regolith as a suitable target material due to its relative radio tra... |
3,212,635,537,730 | arxiv | \section{Introduction}
When an unknown model parameter is estimated from experimental data,
the estimation always yields a value, be the sample size large or small.
We would, however, expect a more accurate value from a larger sample.
A {\em confidence interval} measures this ``accuracy'' in some way.
As ``accuracy''
c... |
3,212,635,537,731 | arxiv | \section{Appendix}
\label{appendix}
Proofs in the appendix use definitions from \autoref{sec:results}.
\subsection{Proof of \autoref{lem:finitely-many-nonexp-dirs}}
The lemma also follows from existence of generating sets introduced by Cyr and Kra \cite{CyrKra15}. Here we show a proof using polynomials:
\env{proof}... |
3,212,635,537,732 | arxiv | \section{Introduction}
Despite their importance to galaxy evolution theory, the mechanisms driving the co-evolution of supermassive black holes (SMBHs) and their host galaxies, and indeed the processes that form SMBHs in the first place, are highly uncertain.
SMBHs are ubiquitous in galaxies ranging from massive elli... |
3,212,635,537,733 | arxiv | \section{Introduction}
In recent years there are some experimental progresses on measurements of the charmless $B_{u,d,s}\to PP$ decays.
In year 2015, Belle reported a $3.0\sigma$ significant measurement on $\overline B{}^0\to\eta\pi^0$ decay rate with
${\cal B}(B^0\to\eta\pi^0)=(4.1^{+1.7+0.5}_{-1.5-0.7})\times10^{-7... |
3,212,635,537,734 | arxiv | \section{Introduction}
Fix $d \geq 3$, which we write as $p+1$, and consider $d$-regular graphs $X$ on $n$ vertices with $n \rightarrow \infty$. During the last decade, there has been a lot of interest in studying the simple random walk (SRW) and the non-backtracking random walk (NBRW) on such graphs. The focus has bee... |
3,212,635,537,735 | arxiv | \section{Introduction}
The quest for discovery in particle physics has always required experiments at the highest possible energies. Novel techniques have been developed to accelerate beams to very high energy, to bring these beams into collision and to detect the particles that these collisions create. The successfu... |
3,212,635,537,736 | arxiv | \section{Guessing and covering}
For the remainder of the article,
$N$ will usually denote an elementary substructure of $H(\theta)$ for some
regular cardinal $\theta \ge \omega_2$, although we will not strictly require this for many of the definitions.
For a set or class $M$, a set $x \subseteq M$ is said to be \em... |
3,212,635,537,737 | arxiv | \section{Introduction}
\hspace{0.5cm}
The Large Magellanic Cloud (LMC) and Small Magellanic Cloud (SMC) are
nearby irregular galaxies at a
distance of about 50 kpc and 60 kpc respectively. Both these galaxies are nearly face on.
Magellanic Clouds (MCs) were believed to have had interactions with our Galaxy
as well ... |
3,212,635,537,738 | arxiv | \section{Introduction}
Quantum spin liquids (SL) are ``quantum disordered'' ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long-range order.
The main avenues towards realizing SL phases in magnetic systems are frustration and quantum phase
transi... |
3,212,635,537,739 | arxiv | \section{Introduction}
The theory $ACF_0$ of algebraically closed fields of characteristic zero is model theoretically very well behaved. In particular, it is strongly minimal, hence uncountably categorical.
Moreover, the model ${\mathfrak C}=({\mathbb C},+,-,\cdot,0,1)$ has many interesting expansions formed by addi... |
3,212,635,537,740 | arxiv | \section{Introduction}
The experimental study of nuclei around the doubly-magic $^{132}$Sn nucleus is of special interest. Such new
data allow us to test ingredients of shell-model (SM) calculations far away from
the valley of stability.
For instance, a realistic effective interaction to be used in the $50-82$ valenc... |
3,212,635,537,741 | arxiv | \section{Introduction}
\subsection{Motivations and state of the art}
In the past few years there has been a growing interest in the study of Dirac operators among the mathematical physics community; the main reason being that low-energy electrons in a single-layered sheet of graphene are driven by an effective hamilton... |
3,212,635,537,742 | arxiv | \section*{Main}
COVID-19 has emerged in December 2019 in the city of Wuhan in China~\cite{zhu2020novel} and disseminated around the world, leading the World Health Organization to declare the COVID-19 outbreak a pandemic. The disease is caused by the SARS-Cov-2 virus and the leading cause of death is respiratory failur... |
3,212,635,537,743 | arxiv | \section{Conclusion}
\label{sec:conclusion}
In this paper, we propose {CGL}, a collaborative graph learning model to jointly learn the representations of patients and diseases, and effectively utilize clinical notes in EHR data. We conducted experiments on real-world EHR data to demonstrate the effectiveness of the lea... |
3,212,635,537,744 | arxiv |
\subsection{Tensor Train Decomposition}
\label{sec:scheme-tt}
Let us dwell on the concepts and the properties of the Tensor Train format.
A $d$-way tensor $\ty \in \set{R}^{N_1 \times N_2 \times \ldots \times N_d}$ is said to be in the TT-format~\cite{oseledets2011tensor}, if its elements are represented by the f... |
3,212,635,537,745 | arxiv | \section{Introduction}
The standard model (SM) of particle physics is considered to be an effective theory
despite the fact that it has succeeded in describing known experimental data available
up to now. Supersymmetry (SUSY) between bosons and fermions at the unification-energy
scale is believed to be one of the ... |
3,212,635,537,746 | arxiv | \section{Entanglement entropy}
Suppose we are interested in the physics of events localized in a region $A$ of the space. The Hilbert space of states can be decomposed accordingly as a tensor product $
{\cal H}={\cal H}_{A}\otimes {\cal H}_{-A}$ where ${\cal H}_{A}$ and ${\cal H}_{-A}$ are the spaces of states local... |
3,212,635,537,747 | arxiv | \section{INTRODUCTION}
\label{s:intro}
Numerous models of pulsars (see Michel 1991 for the review) proposed over the last
three decades tried to make specific predictions about emission of
gamma-rays and X-rays. Gamma-rays are particularly important
as a direct signature of
basic non-thermal processes in pulsar magneto... |
3,212,635,537,748 | arxiv | \section{Introduction}
Core-collapse supernovae (CCSNe) occur at a rate of several per second in the Universe, each releasing a prolific $\sim$ $10^{58}$ neutrinos and antineutrinos. Their detection provides a rich bounty for stellar and neutrino studies, shown by the detection of the neutrinos from SN 1987A \cite{Hir... |
3,212,635,537,749 | arxiv | \section{Introduction}
The global increase of mobile users as well as massive newly-formed wireless connections (e.g. autonomous driving cars and Internet of things) have raised unprecedented challenges to cellular communications systems. Rolling out more intelligent network management approaches is the primary direc... |
3,212,635,537,750 | arxiv | \section{What \textit{is} an Interpretation of Quantum Mechanics?}
\sectionmark{What is an Interpretation of Quantum Mechanics?}
\label{sec:1}
Interpretations of quantum mechanics provide accounts of the meaning of the quantum formalism, guidance as to how to use the formalism to connect with nature and to make predict... |
3,212,635,537,751 | arxiv | \section{Introduction}
The investigation of the electromagnetic properties of a relativistic
plasma in a strong external magnetic field is interesting both from a
theoretical point of view and for possible applications in cosmology
and astrophysics. Large magnetic fields are known to be present in
neutron stars \cite{... |
3,212,635,537,752 | arxiv | \section{Supplemental theoretical parameters}
In addition to Fig.1 we list the hyperparameters of 3 charge density generators(CDGs).
Before listing the hyperparameters, we will explain the mathematical meaning of the operators.
These networks are built through 6 structural layer operators.
\noindent
1.~Input layer $\... |
3,212,635,537,753 | arxiv | \section{Introduction} \selabel{intro}
Parabosonic algebra has a long history both in theoretical and
mathematical physics. Although, formally introduced in the fifties
by Green \cite{Green}, Greenberg-Messiah \cite{GreeMe}, and Volkov
\cite{Vo} in the context of second quantization, its history
traces back to the fund... |
3,212,635,537,754 | arxiv | \section{Introduction}
For 15 years, the problem of large-scale flows of galaxies has seen little
attention relative to other probes of the large scale structure in the Universe. The data on peculiar velocities has been difficult to obtain, and the results had contradictory conclusions \citep{sw95, z02}. They... |
3,212,635,537,755 | arxiv | \section{Introduction}
Over the past 20 years, superconducting qubits have made great progress in both quantity and quality~\cite{Krantz}. With the increase of the number of qubits and the improvement of the gate fidelity, superconducting circuits have emerged as a powerful platform of quantum simulation~\cite{Bulut... |
3,212,635,537,756 | arxiv |
\section{appendix}
\subsection{Search space}
\paragraph{Standard image classification on CIFAR-10 and ImageNet}
The search space for CIFAR-10 and ImageNet classification experiments includes the following operations:
\begin{itemize}
\item identity
\item $1\times1$ convolution
\item $3\times3$ separable convolution
\it... |
3,212,635,537,757 | arxiv | \section{Introduction}
There has been a rising interest in running high-quality CNN models under strict constraints on memory and computational budget. Many innovative architectures, such as MobileNets \cite{howard2017mobilenets}, ShuffleNet \cite{zhang2017shufflenet}, NASNet-A \cite{zoph2017learning}, MobileNetV2 \cit... |
3,212,635,537,758 | arxiv | \section{Introduction}
The true nature of dark matter is not known. Weakly interacting massive particles (WIMP) are still considered one of the most likely candidates for cold dark matter (CDM), and several experiments are ongoing to try to detect such particles. These are, however, closing in on the neutrino floor whe... |
3,212,635,537,759 | arxiv | \section{Introduction}
The theoretical discovery of the second-generation topological insulators \cite{TI_Zhang} (2GTIs) triggered an intensive experimental effort to observe the predicted surface states \cite{TI_SbTe_exp,time_dep_ARPES,bise_arpes2,bise_arpes,SARPES_bite,dichroism,SARPES_bite2,CucontorolledBB,FeonBiSe... |
3,212,635,537,760 | arxiv | \section{Introduction}
\label{sec:introduction}
A real world complex system often counts multiple interactions between multiple different entities. When these interactions are regrouped under multiple families of entities, multilayer network modelling becomes a tool of choice to capture the key components of the syste... |
3,212,635,537,761 | arxiv | \section{\label{sec:level1}Introduction}
\noindent The concept of cosmological time function was defined in \cite{AG}. Time functions are important in study of the global causal theory of space-time. They can be defined arbitrary and may have little physical significance. But the cosmological time function is defined c... |
3,212,635,537,762 | arxiv | \section{Introduction}
\label{sec:intro}
Recently, the possibility of fermion pairing in a two-component
system with unequal Fermi surfaces has attracted
a considerable amount of attention~\cite{Casalbuoni2004a}.
In an electronic system non-matched Fermi surfaces could
be due to the magnetic field interacting
with e... |
3,212,635,537,763 | arxiv | \section{Introduction}\label{sec:intro}
\emph{Higher-order recursion schemes} (\emph{schemes} in short) are used to faithfully represent the control flow of programs in languages with higher-order functions~\cite{Damm82, KNU-hopda, Ong-hoschemes, KobayashiPrograms}.
This formalism is equivalent via direct translatio... |
3,212,635,537,764 | arxiv | \section{Introduction}
Planetary nebulae (PNe) consist of material ejected from the
Asymptotic Giant Branch (AGB) progenitor, which is photoionized by the
hot central star and swept up by the fast stellar wind
\citep{KOW78}. The morphology of PNe has attracted the attention
of many observers because it is related to a... |
3,212,635,537,765 | arxiv | \section{Introduction}
For well over half a century, metabolism has been described as modular,
i.e.\ divisible into relatively autonomous subunits such
as the citric acid cycle~\cite{citric}, glycolysis~\cite{stryer:bio},
etc. For the pioneers of the 20th century it was a great feat to
describe such connected set of r... |
3,212,635,537,766 | arxiv | \section{Introduction}
Characterizing protoplanetary disk structures is essential for understanding planet formation. Disk properties are often inferred by modeling millimeter observations of CO isotopologues (e.g. \citealt{2003AA...399..773D,2013ApJ...774...16R, 2014ApJ...788...59W}). The vertical structure of a disk... |
3,212,635,537,767 | arxiv |
\section{Background} \label{sec:background}
The atmospheric transmission between $5,500$ and $12,000$ \r A is
dominated by absorption due to PWV (Figure~\ref{fig:pwv_comparison}). The
strength of PWV absorption lines in observed spectra correlate strongly
with measurements of localized PWV column dens... |
3,212,635,537,768 | arxiv | \section{Introduction}
Unmanned Aerial Vehicles (UAVs) are increasingly being sought in applications such as surveillance, environmental monitoring, and agriculture due to their ability to monitor large areas in a short period of time. {One bottleneck in practice that limits their application is the limited battery ca... |
3,212,635,537,769 | arxiv | \section{Introduction}
Cosmic strings are known as topological defects that occur in
theories with spontaneous symmetry breaking of a local U(1) gauge
symmetry which were formed during phase transitions in the early
universe. They are trapped infinitely long very thin tubes filled
with a previous false-vacuum phase ch... |
3,212,635,537,770 | arxiv | \section{Introduction}
Oceanic refractive-index spectrum (ORIS) plays a key role in oceanic optics \cite{Hill78OSA, Hill2, Nikishov:2000,OK:2019}.
Unlike the atmospheric spectrum governed by temperature and humidity \cite{Obukhov:1962, Hill78RC,Hill:78,Andrews:1992},
ORIS is a 2nd order statistical description affect... |
3,212,635,537,771 | arxiv | \section{Introduction}
This paper is a new chapter in the saga of the axiomatisation of the \emph{parallel composition operator} $\mathbin{\|}$ (also known as ``\emph{full}'' \emph{merge} \cite{BK84b,BK85}) of the Calculus of Communicating Systems (CCS) \cite{Mi80}.
The saga has its roots in the works \cite{HM80,HM85}... |
3,212,635,537,772 | arxiv | \section{Introduction}
A newborn protostar generates a fast and well collimated jet, possibly surrounded by a wider angle wind. In turn, the ejected material drives (bow-)shocks travelling through the surrounding high-density medium and traced by H$_2$ ro-vibrational lines at excitation temperatures of around 2000 K... |
3,212,635,537,773 | arxiv | \section{Introduction}
\label{sec:introduction}
The excitation spectrum of bound quark-antiquark states that are
composed of $u$, $d$, and $s$~quarks, \ie light-quark mesons, has
regained interest in recent years. Excited light-quark mesons are
currently studied extensively in high-flux fixed-target experiments
with ... |
3,212,635,537,774 | arxiv | \section{Introduction}\label{csw-sec1}
The class of complex-valued harmonic mappings $f$ defined on a
simply connected domain $D$ of the complex plane $\mathbb{C}$ has attracted
the attention of function theorists because it
generalizes the class of analytic functions with a lot of rich applications
in many diff... |
3,212,635,537,775 | arxiv | \section{Introduction}
Nuclear structure varies tremendously from the many-body leptodermous
features of heavy nuclei to the individual properties of light nuclei
\cite{boh75,zel17,sie87,mye69,tho04,fre07}. The unexpected observed
increased jump in radius from lighter Li-isotopes to $^{11}$Li
\cite{tan85,tan8... |
3,212,635,537,776 | arxiv | \section{Introduction}\label{sec:Intro}
We revisit the family of tests for exponentiality based on the residual life time as proposed by \cite{BH:2008}, and we provide further theoretical insight into the asymptotic behaviour of the test under alternatives. The problem of interest is testing the assumption that data is... |
3,212,635,537,777 | arxiv | \section{Introduction}
Understanding of non-crystalline solids
such as glasses and granular systems is an important
problem in condensed matter physics \cite{Jamming-Book,kurchan-levine}.
A useful concept is that {\it frustration} of geometrical, energetic
or kinetic origins is indispensable to avoid crystallization... |
3,212,635,537,778 | arxiv | \section{Introduction}
Is the global economic system of the present era inherently unstable? It had long been
thought that the cyclical sequence of inflations and recessions that have buffeted most
national economies throughout the 19th and 20th centuries
are an inevitable result of modern industrial capitalism. Howeve... |
3,212,635,537,779 | arxiv | \section{Introduction} Recent advances in the smooth number technology associated with
Waring's problem (see \cite{BW2022}) make possible an investigation of the cognate
problem to which Fre\u \i man's theorem provides a qualitative answer. Consider then
natural numbers $k_i$ $(i\ge 1)$ satisfying $2\leqslant} \def\... |
3,212,635,537,780 | arxiv | \section{Climatological background} \label{sec:background}
\subsection{El Ni{\~{n}}o--Southern Oscillation} \label{sec:background-ENSO}
\begin{figure}
\centering
\includegraphics[width = \columnwidth]{regions-of-interest.pdf}
\caption{Main regions of interest used within this paper. Sets of blue dots labelled with... |
3,212,635,537,781 | arxiv |
\section{Introduction}
Social scientists often provide recommendations about the implementation of policies, which determine whether and in what manner a given treatment should be applied in some target context.
Crucial to this task is generating counterfactual predictions to inform such recommendations... |
3,212,635,537,782 | arxiv | \section{Introduction}
The radio properties of quasars with otherwise very similar optical
properties can be markedly different. There is a clear dichotomy
between radio-loud and radio-quiet quasars in optically selected
samples. The radio-loudness is usually characterized by the
radio-to-optical flux ratio. In the PG... |
3,212,635,537,783 | arxiv | \section{Introduction}
The engineering of gauge theories in different dimensions by means of branes probing Calabi-Yau (CY) singularities in string and M-theory has received considerable attention. Among its multiple applications, this approach: provides a way to construct interesting gauge theories and study their dy... |
3,212,635,537,784 | arxiv | \section{Introduction}\label{sec:BatchCodes}
\subsection{Background and Definitions}
Batch codes were first introduced by Ishai \textit{et al.} in~\cite{IKOS04} as a method to represent the distributed storage of a set of $n$ data items on $m$ servers. These codes were originally motivated by several applications suc... |
3,212,635,537,785 | arxiv | \section{Introduction}
Finding new collective electronic states in materials is one of the fundamental goals of condensed matter physics. While the traditional approach has been to search for such phases within naturally occurring compounds, in recent years the focus has shifted to \emph{heterostructures} \cite{Hwang... |
3,212,635,537,786 | arxiv | \section{Introduction}
Drug discovery is an important biomedical task, which targets at finding new potential medical compounds with desired properties such as
better absorption, distribution, metabolism, and excretion (ADME), low toxicity and active pharmacological activity~\cite{rohrer2009maximum,abbasi2019deep,alt... |
3,212,635,537,787 | arxiv | \section{INTRODUCTION}
Accurate and plausible trajectory prediction in crowd scenarios for pedestrians plays a fundamental role in different applications, such as mobile robot navigation~\cite{luo2018porca}, Intelligent Transportation Systems and Intelligent Vehicles~\cite{ballan2016knowledge}, and shared space safety~... |
3,212,635,537,788 | arxiv | \section{Introduction}
In the last years, the cultivation of genetically modified plants (GMP) is very
widespread in the world, in particular in America and Asia. On the other side, the debate in the scientific community and in the public opinion about the GMP effects is becoming harder and harder
\cite{Mendelsohn03,Ba... |
3,212,635,537,789 | arxiv | \section{Introduction}
The non-perturbative meson--meson interactions and the related scalar-meson spectroscopy is a topic of great importance.
The nature of scalar mesons is still under debate, in spite of the efforts during several decades in the past, particularly since the discovery of the resonances $f_0(980)$ ... |
3,212,635,537,790 | arxiv |
\section{INTRODUCTION}
End-to-end approaches to visuomotor learning are appealing in their ability to discover which features of an observed environment are most relevant for a task,
and to be able to exploit large amounts of training data to discover both a policy and a co-dependent visual representation.
Yet, the k... |
3,212,635,537,791 | arxiv | \section{Introduction}
There are at least three equivalent approaches to (classical) convolutions of probability measures on groups and semi-groups, which we shall call here the harmonic analysis, the probabilistic, and the characteristic functions approach. The main goal of the present paper is to prove the equivalen... |
3,212,635,537,792 | arxiv |
\section{Acknowledgment}
This work has been supported by the Intelligence Advanced Research Projects Activity (IARPA) via Department of Interior National Business Center contract number D11-PC20066. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes not with-standing any c... |
3,212,635,537,793 | arxiv | \section{\label{sec:introduction}Introduction}
Topology has signaled a shift in modern condensed matter research since the emergence of the quantum Hall effect \cite{PhysRevLett.45.494}. Many systems with desirable physical behaviors are now known to have an underlying nontrivial topological classification \cite{10.23... |
3,212,635,537,794 | arxiv | \section{Introduction}
In this article, we examine the nonexistence of classical stable solutions of the weighted elliptic system given by
\begin{equation}\label{eq:1.1}
\begin{cases}
-\Delta u=|x|^{\beta} v^{\vartheta},\\
-\Delta v=|x|^{\alpha} |u|^{p-1}u,
\end{cases}\quad \mbox{in}\;\ \Omega,
\end{equation}w... |
3,212,635,537,795 | arxiv | \section{Introduction}
\noindent Survival analysis aims to analyze the expected duration of time until events happen. It tries to find the answer of questions like: how does the proportion of a population survive past a certain time (e.g. 5 years)? What rate will they die or fail?
It is a very important clinical applic... |
3,212,635,537,796 | arxiv | \section{Introduction}
Since the time of Hilbert and Bernays \cite{HilBer68}, a notable research issue has been finding the proper way of interfacing logic with analysis. One of the first methods to represent real numbers in a logic in a built-in matter was attempted in the 1960s -- see, e.g., the book by Chang and Ke... |
3,212,635,537,797 | arxiv | \@ifstar{\origsection*}{\@startsection{section}{1}\z@{.7\linespacing\@plus\linespacing}{.5\linespacing}{\normalfont\scshape\centering\S}}{\@ifstar{\origsection*}{\@startsection{section}{1}\z@{.7\linespacing\@plus\linespacing}{.5\linespacing}{\normalfont\scshape\centering\S}}}
\def\@startsection{section}{1}\z@{.7\linesp... |
3,212,635,537,798 | arxiv | \section*{Abstract}
Herein we develop a dynamical foundation for fractional Brownian
Motion.
A clear relation is established between the asymptotic
behaviour of the correlation function and diffusion in a dynamical
system. Then, assuming that scaling is applicable, we establish a
connection between diffusion (either st... |
3,212,635,537,799 | arxiv |
\section{The \barc Coherence Protocol}
\label{sec:protocol}
This section first overviews \barc's design.
It then presents a \emph{baseline} version of Neat\xspace, which self-invalidates all private cache lines at acquires, and commits all dirty data at releases.
Finally, we present the full version of Neat\xspace... |
3,212,635,537,800 | arxiv | \section{Introduction}
Methods for making groups from data sets are usually based on the idea of disjoint sets, such as the classical crisp clustering. The most well known are hierarchical and $k$-means \cite{Hartigan}, whose resulting clusters are sets will no intersection. However, this restriction may not be natura... |
3,212,635,537,801 | arxiv | \section*{Acknowledgements}
This work was carried out whilst the first author was visiting the
Centre for Mathematics and its Applications at the ANU.
He wishes to thank the Australian Research Council for support
and the CMA for hospitality.
The third author was an ARC Research Associate for the duration of the c... |
3,212,635,537,802 | arxiv | \section{Introduction}
\paragraph*{}Mesoscale rings were the object of numerous experiments exploring quantum mechanical phenomena involving phase shifts and coherence of electronic wavefunctions.
Among others, persistent currents \cite{gunther1969flux,buttiker1983josephson}, one-dimensional weak localization \cite{sh... |
3,212,635,537,803 | arxiv | \section*{Introduction}
The process of the evolution after the end of nucleation (the
main stage) and the consumption of the main quantity of the
surplus metastable phase requires a separate description.
This description can be based on the real form of the size
spectrum \cite{preprint} or
can be done by the asymptot... |
3,212,635,537,804 | arxiv | \section{Introduction}
Deep Neural Networks (DNNs) are powerful and have a wide range of applications in several fields such as image recognition~\cite{1-he2016deep}, object detection~\cite{2-ren2015faster}, visual segmentation~\cite{3-he2017mask}, text classification~\cite{LiuLCT2022}, etc.
However, DNNs generally req... |
3,212,635,537,805 | arxiv |
\section{Problem formulation}
\label{secform}
In a typical supervised learning problem, we wish to fit a function $f_{\vct{\theta}}$, parameterized by $\vct{\theta}\in\mathbb{R}^p$ to a training data set of $n$ input-output pairs $\{(\vct{x}_i,y_i)\}_{i=1}^n$ drawn i.i.d.~from some common law $\mathcal{P}$. The fittin... |
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