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2,869,038,155,128 | arxiv | \section{Introduction}
Work stealing is an efficient and popular paradigm for scheduling multithreaded computations. While its practical benefits have been known for decades \cite{BurtonSl81,Halstead84} and several researchers have found applications of the paradigm \cite{AroraBlPl98,DinanLaSaKrNi09,KarpZh93,Leisers... |
2,869,038,155,129 | arxiv |
\section{SUPPLEMENTAL MATERIAL}
\label{sec:supplement}
Here, we present and discuss the posterior distribution resulting from our mapping of the self-interacting sterile neutrino DM model to a thermal-relic WDM model that was constrained by the MW satellite population in Ref.~\cite{DES:2020fxi}. Fig.~\ref{fig:gh_snud... |
2,869,038,155,130 | arxiv | \section{Introduction}
The recently burgeoned developments in nano-science and semiconductors, such as the nano-wired FET at 3nm node \cite{DeyJenaMohapatraDashDasMaiti2020}, as well as those in high energy density physics \cite{GrazianiBauerMurillo2014}, quantum tomography \cite{RundleDaviesDwyerToddEveritt2020} an... |
2,869,038,155,131 | arxiv | \section{Introduction}
The abundance of swimmers is widespread from microscopic to macroscopic length scales in nature, such as algae\cite{Ringo543,Polin487}, bacteria\cite{Blair1995,Berg1973}, spermatozoa\cite{GRAY775,SHACK1974555,Woolley01082003}, {\it C. elegans}, fishes, etc. The self-propulsion helps them in the ... |
2,869,038,155,132 | arxiv | \section{Introduction}
This paper deals with the following fundamental question:
\begin{itemize}
\item [] \textit{What information is sufficient for learning, and what
guarantees can it bring that regular data cannot} ?
\end{itemize}
By ``regular'', we mean the usual inputs provided to a learner. In our
co... |
2,869,038,155,133 | arxiv | \section*{Notation}
\begin{itemize}
\item {$\mathbb{R}$ denotes the field of real numbers, $\mathbb{R}_{\geq 0}=\{x\in\mathbb{R}| \ x\geq 0\}$, and} $\mathbb{R}^n$ stands for the $n$-dimensional linear real vector space;
\item $\mathbb{N}$ denotes the set of natural numbers;
\item bold symbols $\boldsymbol{x} =(x_{... |
2,869,038,155,134 | arxiv | \section{Proofs of Preliminary Lemmas}
\label{appendix prelim}
\textbf{Proof of Lemma \ref{lemma0}}
\begin{proof}
Because $P$, $Q$ and $\Phat$ are basis matrix, $P'P=I$, ${Q}'Q = I$ and $\Phat'\Phat=I$.
\begin{enumerate}
\item Using $P'P = I$ and $\|M\|_2^2 = \|MM'\|_2$, $\|(I-\Phat{\Phat}')P P'\|_2 =\|(I-\Phat{\Phat}... |
2,869,038,155,135 | arxiv | \section{Introduction}
Let $(R, \mathfrak{m})$ be a local ring of positive characteristic $p$ and Krull dimension $d$. Assume that $R$ is $F$-finite and has perfect residue field. The classical Hilbert-Kunz function and multiplicity are defined for $R$-modules of finite length, and in particular for $\mathfrak{m}$-pr... |
2,869,038,155,136 | arxiv | \section{Sample Section Title}
\label{sec:sample1}
Lorem ipsum dolor sit amet, consectetur adipiscing \citep{Fabioetal2013} elit, sed do eiusmod tempor incididunt ut labore et dolore magna \citet{Blondeletal2008} aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo ... |
2,869,038,155,137 | arxiv | \section{Introduction and general conventions}
Let $M$ be any closed, orientable, hyperbolic $3$-manifold. The
volume of $M$ is known to be an extremely powerful topological
invariant, but its relationship to more
classical topological invariants remains elusive. The main
geometrical result of this paper, Theorem \r... |
2,869,038,155,138 | arxiv | \section{Introduction}
A new approach to the dark energy problem, that has recently been suggested in \cite{serendipity}, is inspired by the necessity to avoid the fine tuning problem. This approach suggests the theory in which the de Sitter or anti-de Sitter evolution can occur at any value of the effective cosmologi... |
2,869,038,155,139 | arxiv | \section{Introduction}\label{sec:intro}
Recently, we have introduced~\cite{dam} and modified~\cite{ejgta1} two graph-decomposition theorems based on a new graph product, motivated by applications in the context of synchronising periodic real-time processes, in particular in the field of robotics.
More on the backgroun... |
2,869,038,155,140 | arxiv | \section{Introduction}
The idea of using quantum dots (QDs) for quantum computer implementations
follows from the possibility of a clear selection of a two level system,
on which a qubit can be realized \cite{loss98}.
To this end, both charge and spin states of confined carriers are employed,
where the latter is prefe... |
2,869,038,155,141 | arxiv | \section{Introduction}\label{sec:intro}
Several programming platforms are nowadays available, providing methods to transform and manipulate various formal
language objects: Grail/Grail+\cite{RayWood:1994,grail}, Vaucanson 2~\cite{Vauc,DDLS:2013}, FAdo \cite{FAdo,AAAMR:2009},
OpenFST \cite{OpenFST}, JFLAP \cite{OpenFST}... |
2,869,038,155,142 | arxiv | \section{Introduction}
Let $(M^n, \partial M, g)$ be a smooth Riemannian manifold with boundary. Consider
the following basic question:
\begin{ques} Let $\SS \subset \mathcal R$ be a subset of the space of curvature tensors
on $M$. Does there exist a conformally related metric $\hat{g} = e^{-2u} g$
such that $u_{|\p... |
2,869,038,155,143 | arxiv | \section*{Supporting Online Material}
\section*{Materials and Methods}
We perform our measurements on $\left|2\right\rangle$-$\left|12\right\rangle$ and $\left|2\right\rangle$-$\left|23\right\rangle$ atom-dimer mixtures consisting of roughly $8.5\times 10^4$ atoms and $7.5\times 10^4$ dimers in an optical dipole trap... |
2,869,038,155,144 | arxiv | \section{Introduction}
The dimension-free Harnack inequality was firstly introduced by Wang \cite{FYW0} to derive the log-Sobolev inequality on Riemannian manifolds. As a weaker version of the
power-Harnack inequality, the log-Harnack inequality
was considered in \cite{RW} for
semi-linear SDEs. These two Harnack-... |
2,869,038,155,145 | arxiv | \section{Introduction}
The search for neutrino oscillations is one of the most fascinating topics
of modern particle physics. The {\bf KA}rlsruhe {\bf R}utherford {\bf M}edium
{\bf E}nergy {\bf N}eutrino experiment KARMEN searches for neutrino
oscillations in different appearance (
\mbox{\mbox{$\nu_{\mu}$} $\rightarr... |
2,869,038,155,146 | arxiv | \section{Introduction}
With application to distributed storage systems, the notion of locality of a code was introduced in \cite{gopalan2012locality}, which enables efficient node repair in case of single node failures (node failures modelled as erasures) by contacting fewer nodes than the conventional erasure codes ... |
2,869,038,155,147 | arxiv | \section{Introduction}
\label{sec:intro}
The sublime discovery of gravitational waves at advanced LIGO (aLIGO) \cite{aLIGO} is yet another striking confirmation of Einstein's theory of gravity. Due to the weakness of gravitational interactions and the fact that gravity couples to all particles that carry energy and mom... |
2,869,038,155,148 | arxiv | \section{INTRODUCTION}
The International linear collider (ILC) is a very complicated and expensive project. One aspect of key importance is the main beam dumps, which are required to safely dispose of the high power ILC beams. The work on such dumps was started at the SLC, albeit at much lower power, and continued as ... |
2,869,038,155,149 | arxiv |
\subsection{Partially Observable Markov Decision Process}
A discrete-time POMDP can be formally defined as a tuple $\left( \mathcal{X},
\mathcal{A}, \mathcal{Z}, T, O, \mathcal{R} \right)$, where $\mathcal{X},
\mathcal{A}$ and $\mathcal{Z}$ denote the state, action and observation spaces
respectively; $T \left( x,a,x... |
2,869,038,155,150 | arxiv | \section{Introduction}
Anomalies in datasets are typically associated with unexpected or unwanted characteristics such as contamination, noise or outliers that deviate significantly from expectations. The ability to detect anomalies and accurately estimate contamination in datasets is important in a wide variety of do... |
2,869,038,155,151 | arxiv | \section{Introduction}
Fault tolerant control (FTC) has attracted much attention from control engineers since it can accommodate sensor and actuator faults to preserve desired close-loop performance \cite{50_chen2012, 50_isermann1997, 50_isermann2006, 50_blanke2006, 10_zhang2008}. FTC schemes mainly fall into two categ... |
2,869,038,155,152 | arxiv | \section{Introduction}
For a sequence $\mathbf{s} = \{s_i\}_{i\ge 1}$ of positive integers,
the $n$-dimensional \emph{$\mathbf{s}$-inversion sequences} are defined by
\[\I_n^{(\mathbf{s})} = \{(e_1, \dotsc, e_n) \in \mathbb{Z}^n \mid
0\le e_i < s_i \;\;\text{for}\; 1\le i \le n\}.\]
The \emph{ascent set} of an ... |
2,869,038,155,153 | arxiv | \section{Introduction}
Damped Ly$\alpha$ systems seen in QSO spectra are characterized by
very large H~{\sc i} column densities, {\it N}(H~{\sc i})$\ga 10^{20}$
cm$^{-2}$, that are similar to those observed through gas-rich spiral
galaxies. The importance of DLAs in the paradigm of hierarchical
structure formatio... |
2,869,038,155,154 | arxiv | \section*{Prologue}
\begin{quotation}
\textit{What's in a name? That which we call a rose by any other name would
smell as sweet.}
\textit{Romeo and Juliet, Act 2, Scene 2 (W. Shakespeare)}
\end{quotation}
Take an egg --preferably a hard boiled one, and cut it in half along its
middle using a very sharp kn... |
2,869,038,155,155 | arxiv | \section{Introduction}
Recently the ATLAS and the CMS Collaborations
using the combined 7~TeV and 8~TeV data found a signal for a boson with the
ATLAS finding a signal at $126.0 \pm0.4 ({\rm stat})\pm 0.4({\rm sys})~{\rm GeV}$ at the $5.0\sigma$ level~\cite{:2012gk}
and the CMS finding a signal at $125.3\pm 0.4 ({\rm ... |
2,869,038,155,156 | arxiv | \section{Introduction}
In some pulsars, the pulsed radio emission often abruptly stops for several
periods. This phenomenon, called ``pulse nulling'', was discovered by
Backer in 1970 (Backer 1970).
The fraction of pulses with no detectable emission
is known as the nulling fraction (NF) and is a measure
of degre... |
2,869,038,155,157 | arxiv | \section{Abstract}
In microarray experiments, it is often of interest to identify genes which have a pre-specified gene expression profile with respect to time. Methods available in the literature are, however, typically not stringent enough in identifying such genes, particularly when the profile requires equivalence ... |
2,869,038,155,158 | arxiv | \section*{INTRODUCTION}
The DUMAND Collaboration is building a neutrino observatory with
the aim of studying both diffuse and point sources of
astrophysical neutrinos in the TeV range. Fluxes of charged
primary cosmic ray particles have been measured as a function of
energy and spectra have been presented to us at th... |
2,869,038,155,159 | arxiv | \section{Introduction}
Let $X$ be a non-singular quasi-projective variety of dimension $n$
defined over a field of arbitrary characteristic,
and let $\mathcal E$ be a vector bundle of rank $r$ over $X$.
Let ${\mathbb G_X({d}, \mathcal E)}$ be
the Grassmann bundle of $\mathcal E$ over $X$
parametrizing corank $... |
2,869,038,155,160 | arxiv |
\section*{Appendix}
\begin{figure}[ht]
\centering
\begin{subfigure}[b]{0.2\textwidth}
\includegraphics[scale=1.2]{figures/drawing_convnet.pdf}
\caption{\mbox{\textit{ConvNet}~}}
\label{fig:drawing_convnet}
\end{subfigure}
~
\begin{subfigure}[b]{0.2\textwidth}
\includegraphics[scale=1.2]{figures/draw... |
2,869,038,155,161 | arxiv | \section{Introduction}
Model checking is a verification technique that performs an exhaustive search among states of a given finite-state machine to verify that this model satisfies a given property, expressed in temporal or richer modal logics~\cite{Clarke-Grumberg-others-99}.
Some of these logics, such as CTL~... |
2,869,038,155,162 | arxiv | \section{Introduction}
Indoor localization is one of the most demanding applications in both business and public safety. Commercially, it can be used to track children, people with special needs, assist blind people in navigation, identify equipment, and mobile robots, among other things \cite{ref1}. Aside from making ... |
2,869,038,155,163 | arxiv | \section{Introduction}
Arrangements of lines and, in general, arrangements of hyperplanes are
paramount data structures in computational geometry whose
combinatorial properties have been extensively studied, partially
motivated by the point-hyperplane duality.
Pseudo-line arrangements are a combinatorial generalizati... |
2,869,038,155,164 | arxiv | \section{Introduction}
The present program {\tt mFOAM},
and the {\tt FOAM} program of Refs.~\cite{Jadach:2002kn,Jadach:1999sf},
from which {\tt mFOAM} is derived,
are both examples of a general-purpose self-adapting Monte Carlo
simulator/integrator.
Let us briefly recapitulate main features of {\tt FOAM},
which are sh... |
2,869,038,155,165 | arxiv | \section{Introduction}\label{sec:introduction}
In the last decades, cosmological observations have reached a remarkable level of precision, and have been shown to be compatible with a rather simple picture of the universe: a flat, (almost) Friedmann-Robertson-Walker (FRW) solution of General Relativity\xspace (GR\xspa... |
2,869,038,155,166 | arxiv | \section{Introduction}
In a Paul trap ions are confined using an oscillating electric quadrupole field.
Ideally the equilibrium position of a single trapped ion will coincide with the null of the oscillating quadrupole field.
Stray electric fields as well as trap fabrication imperfections introduce a quasi-static dipo... |
2,869,038,155,167 | arxiv | \section{Introduction}
\label{secIntro}
The physics of massive galaxy clusters is relatively simple, at least compared to that of smaller objects.
In the standard cold dark matter (CDM) scenario, their mass is dominated by the dark component, while most baryons are in the form of a hot diffuse plasma in hydrostatic ... |
2,869,038,155,168 | arxiv | \section{Introduction}
Hyperspectral imaging is widely used in various applications, such as biomedical imaging, terrain classification, and military surveillance \cite{tiwari2011An,zhang2015Compression,zhao2014Hyperspectral}.
However, clean hyperspectral images (HSIs) are rarely obtained due to unavoidable corruptions... |
2,869,038,155,169 | arxiv | \section{Introduction}\label{intro}
Driven vortex lines in type-II superconductors, in the presence of randomly distributed point-like quenched disorder, constitute a rich, highly complex system far from equilibrium, with a number of competing energy, time and length scales. This system displays a variety of thermodyna... |
2,869,038,155,170 | arxiv | \section{Introduction}
\label{introduction}
The bulk properties of the quantum Hall systems at filling fraction
$1/m$, $m =$ odd, in the presence of low magnetic fields have been
subject of many theoretical and experimental investigations in recent
years. The spin degree of freedom plays an important role in these
syst... |
2,869,038,155,171 | arxiv | \section{Introduction}
\label{intro}
In a previous paper \cite{Ma} we have generalized
the classical theory about minimal surfaces in $\mathbb{R}^3$ to
zero mean curvature spacelike surfaces in 4-dimensional Lorentz
space. Such an immersed surface $M^2\to\mathbb{R}^4_1$,
called a \emph{stationary surface} (see \cite{Al... |
2,869,038,155,172 | arxiv | \section{Introduction}
Coronal mass ejections (CMEs) are the major driver of intense geo-magnetic activity \citep[]{Richardson:2001} and have been studied extensively for the past 40 years. CMEs are observed remotely by coronagraphs and heliospheric imagers and measured {\it in situ} by spacecraft such as ACE and {\it ... |
2,869,038,155,173 | arxiv | \section{INTRODUCTION}\label{sec:intro}
There is much debate regarding the origin and evolutionary history of hot Jupiters. Traditional core accretion theory suggests that such planets form beyond the ice-line (the boundary outside which water exists in a frozen state) prior to moving inwards \citep{pollack_96}. The e... |
2,869,038,155,174 | arxiv | \section{Introduction}
\label{sec:intro}
Association Rule Mining (ARM) is definitely one of the most important and popular data mining techniques for discovering unknown knowledge from transaction databases. The ARM is also a part of Machine Learning (ML) with the task to discover interesting relationships between item... |
2,869,038,155,175 | arxiv | \section{Introduction}
The computation of correlation functions in quantum integrable
systems, is in general a quite hard task. One paradigmatic example is
the spin-$\frac{1}{2}$ XXZ spin chain \cite{Baxter}. Even in the study
of the free
fermion case quite interesting mathematical structures have
appeared \cite{mcco... |
2,869,038,155,176 | arxiv | \section{Introduction}
In the standard model of particle physics, neutrinos are treated as elementary massless particles. However, it has been conclusively shown that neutrino flavour (i.e. electronic, muonic, tauonic) can change with time~\citep{Fukuda:1998,Ahmed:2004}, a phenomenon know as \emph{flavour oscillations}... |
2,869,038,155,177 | arxiv | \section{Introduction}
Materials hosting quantum spin-liquid states have attracted much interest recently~\cite{Sachdev2008NPhys,Balents2010,Norman2016RMP,rau2016anurev,Winter2017JPCM,Takagi2019NRP,Broholm2020Sci}, as in these systems the quantum information may be protected from decoherence, and they can be applie... |
2,869,038,155,178 | arxiv |
\section{Introduction}
Heavy particles with masses above a TeV decaying to top quarks
can lead to
an enhanced cross section of top quarks compared to the Standard Model expectations.
The fact that such a cross section can be more than doubled
for top quarks with high transverse momenta ($p_{T}(\mathrm{top})$) was ... |
2,869,038,155,179 | arxiv | \section{Introduction}
\vskip 1pc
The study of the potential power of quantum computers has been a major
theoretical challenge. There will be an additional
incentive to build a quantum computer if we can identify computationally
important problems for which quantum computation offers
significant speedups over computati... |
2,869,038,155,180 | arxiv | \section{Acoustic word embedding models}
\label{sec:awe_models}
We first provide an overview of two existing acoustic word embedding
(AWE) models.
We then introduce a new contrastive model.
Each of these models can be trained using labelled word segments (making them supervised) or by using discovered words from a UT... |
2,869,038,155,181 | arxiv | \section{Introduction and presentation of the results}
In this paper, we highlight the special properties of incomparability graphs by considering the behavior of paths. We consider the problem of the existence of infinite paths, either induced or isometric, in the incomparability graph of a poset. We apply one of ... |
2,869,038,155,182 | arxiv | \section{Introduction}\label{S:intro}
A key tool in the algebraic theory of data structures is their
specification by operations (constructors) and equations that they
ought to satisfy. Hence, the study of models of equational
specifications has been of long standing interest both in mathematics
and computer science.... |
2,869,038,155,183 | arxiv | \section{Introduction}
The key aim of mathematical, computational and systems biology is to achieve a holistic understanding of biological systems~\cite{Kitano2002}. Over decades this aim was mainly approached by moving from the study of single molecules to the analysis of biological networks. Starting with the groundb... |
2,869,038,155,184 | arxiv | \section{Introduction}
The top-quark with $m_t= 172.76\pm 0.30$ GeV~\cite{Data2020} is the most massive of all observed elementary particles in the
Standard Model (SM). The large top-quark mass corresponds to a Yukawa coupling to the Higgs boson close to unity. This suggests
that the top-quark may play a special role... |
2,869,038,155,185 | arxiv | \subsection{Introduction}
Theoretical prediction of high TMR in Fe/MgO/Fe MTJ due to so-called symmetry spin filtering mechanism \cite{Butler01,Mathon01} and its quick experimental verification \cite{Parkin04,Yuasa04} revolutionized the hard disk drive (HDD) industry during the last decade. But despite a lot of theo... |
2,869,038,155,186 | arxiv | \section{Introduction}
\noindent Nowadays, many engineering applications can be posed as
convex quadratic problems (QP). Several important applications
that can be modeled in this framework such us model predictive
control for a dynamical linear system
\cite{DomZgr:12,NecNed:13,NedNec:12,PatBem:12,StaSzu:14} and it... |
2,869,038,155,187 | arxiv | \section{INTRODUCTION}
As the energy demand multiplies the world over and the conventional energy resources deplete alarmingly, wind energy utilisation has attained greater
importance from the perspective of sustainable development, as it is renewable, clean and comparatively cost effective. As a result, wind energy ... |
2,869,038,155,188 | arxiv | \section{Introduction}
Web application attacks are found one of the most targets by
attackers. Symantec Internet security \cite{istr2019} reported an
interesting statistics that 1 in 10 URLs are identified as being
malicious. Web applications typically use the HTTP/HTTPS protocols
supported by other backend and fronten... |
2,869,038,155,189 | arxiv |
\section{Introduction}
\label{s:intro}
Previously used in niche applications and by a small group of enthusiasts, general purpose computing on graphics processing unit (GPU) cards has gained widespread popularity after the release in 2007 of the CUDA programming environment \cite{cudaProgGuide}. Owing also to t... |
2,869,038,155,190 | arxiv | \section{Introduction}
The
analogy between graphs and algebraic curves has been a source of inspiration
both in combinatorics and algebraic geometry.
In this frame of mind,
M. Kotani and T. Sunada (see \cite{KS})
introduced the Albanese torus, $\operatorname{Alb}(\Gamma)$,
and the Jacobian torus, $\operatorname... |
2,869,038,155,191 | arxiv | \section{Introduction}
On a complex manifold equipped with the Bergman kernel and metric, the Bergman representative map, originally named as ``the representative domain'' by Stefan Bergman himself, is an important offshoot of the Bergman kernel form (cf. \cite{GKK2011}, Chapter 4). It is a special holomorphic map whi... |
2,869,038,155,192 | arxiv | \section{Introduction}
The idea of doing jet tomography in ultrarelativistic heavy-ion (A-A) collisions, i.e. to utilize hard processes taking place along the creation of a soft bulk medium to probe both the geometry and the degrees of freedom of the medium has been proposed many years ago \cite{radiative1, radiative2... |
2,869,038,155,193 | arxiv | \section{Generalised Archimedean Copula Models for Currency Exchange Rate Baskets}
As noted in the previous section we develop flexible mixture Archimedean copula models for the currency baskets. Such models have the advantage that they produce asymmetric dependence relationships in the upper tails and the lower tails... |
2,869,038,155,194 | arxiv | \section*{Introduction}
The theory of Nichols algebras is relatively young, but it has interesting applications to other research fields such as Kac-Moody Lie superalgebras~\cite{inp-Andr14} and conformal field theory~\cite{Semi-2011,Semi-2012,Semi-2013}. Besides, it plays an important role in quantum groups~\cite{inp... |
2,869,038,155,195 | arxiv | \section{Introduction}
\label{sec.intro}
In this paper we continue our studies of actions of finite groups on algebraic varieties, up to equivariant birational equivalence. Our main tool is the new invariant introduced in \cite{BnG}:
to an $n$-dimensional smooth projective variety $X$ with a regular action of a finit... |
2,869,038,155,196 | arxiv |
\section{Introduction}
Mining software repositories community often needs to utilize methods originating from the Natural Language Processing (NLP) community. Sentiment Analysis is an NLP task that has received a 50-fold increase in the number of papers between 2005 and 2015~\cite{MANTYLA201816}. In software enginee... |
2,869,038,155,197 | arxiv | \section*{Supplementary Material}
See supplementary material for the details of experimental data.
\acknowledgments
The authors wish to thank J. R. Kim and Y. Ishida for fruitful discussions. This work is supported by the Institute for Basic science in Korea (Grant No. IBS-R009-G2). PPMS measurements are supported by ... |
2,869,038,155,198 | arxiv | \section{Introduction}\label{sec:intro}
The diffusion processes represent the evolution of many real phenomena, such as epidemic diseases~\cite{Saeedian2017}, gossip spreading~\cite{banerjee2014gossip}, prey-predator species~\cite{bomze1995lotka}, pollution~\cite{gonccalves2013analytical}, and fluid flow~\cite{cussler2... |
2,869,038,155,199 | arxiv |
\section{Background and Related Work}
\paragraph{Sparse retrieval}
Before the emergence of dense retrievers, traditional sparse retrievers such as TF-IDF or BM25 were the de facto method in open-domain question-answering systems~\cite{chen2017reading,yang2019end}.
These sparse models measure similarity using weighted... |
2,869,038,155,200 | arxiv | \section{Introduction}\label{s:Introduction}
The Haumea (2003 EL$_{61}$) collisional family was discovered by \citet{Brown2007} who noted that Haumea and five other Kuiper belt objects (KBOs) shared a spectral feature that is indicative of nearly pure water ice on the surfaces of the bodies. These six KBOs, along wit... |
2,869,038,155,201 | arxiv | \section{Introduction}
In Section~\ref{sec: graphs}, we describe the graph-theoretic framework for the investigation of the algebraic information contained in the topology of scalar Feynman diagrams. Perturbative quantum field theories possess an inherent algebraic structure, which underlies the combinatorics of recur... |
2,869,038,155,202 | arxiv |
\section{Introduction}
Jamming attacks pose a serious threat to the continuous operability of wireless communication systems \cite{economist2021satellite, topgun}.
Effective methods to mitigate such attacks are of paramount importance
as wireless systems become increasingly critical to modern infrastructure~\cite{p... |
2,869,038,155,203 | arxiv | \section{Introduction}
In this paper we study the dimensional reduction
of $\mathcal{N}=1$ 4d s-confining theories
to 3d in the brane setup.
We show that a key role
is played by the exotic contribution of stringy instantons.
A general procedure for reducing 4d dualities to 3d has been furnished
in \cite{Aharony:2... |
2,869,038,155,204 | arxiv | \section{Introduction}
The decay behavior of the entries of functions of banded and sparse matrices
has attracted considerable interest over the years.
It has been known for some time that if $A$ is a banded Hermitian matrix and $f$ is
a smooth function with no singularities in a neighborhood of the spectrum of $A$... |
2,869,038,155,205 | arxiv | \section{Introduction}
The last 20 years have been a revolution for neutrino physics. The
observation of neutrino oscillations has established that neutrinos
have masses and this implies physics beyond the Standard Model. This
fact has a clear impact not only on particle physics, but also on astroparticle
physics and ... |
2,869,038,155,206 | arxiv | \section{ Introduction}
This paper is devoted to classify the structure of standing waves for the following system of Schr\"odinger-Poisson type,
\begin{equation}\label{mains}
\left\{\begin{aligned}
&2 i\dot{v}_+-\Delta v_++(\mu_{11}\phi_{v_+}-\mu_{12}\phi_{v_-})v_+
-\frac{1}{2\pi}\int_0^{2\pi}g(v_++e^{i\theta}\overl... |
2,869,038,155,207 | arxiv | \section{Introduction}
In the last decade, distributed adaptive signal processing has emerged as a vital topic because of the vast applications in need of decentralized real-time data processing over networked systems. For multi-agent networks, distributed adaptive algorithms only rely on local information exchange,... |
2,869,038,155,208 | arxiv | \section{Mean field analysis}
To study the mean field fixed points we employ above the ansatz that only the single mode that shares its momentum with the drive is macroscopically occupied, i.e. $b_{k} = 0$ for $k\neq p$. The equation of motion for $b_{p}$ is given in this case by
\begin{align}
i \dot{b}_{p} =
\frac... |
2,869,038,155,209 | arxiv | \section{Introduction}
Consider the following question and its corresponding answer, taken from the Microsoft Machine Comprehension (MS MARCO) dataset v2.1 \citep{Nguyen2016ms}:
\vspace{0.2cm}
\textbf{Question}: \textit{Where is Putney Bridge?}
\textbf{Answer}: \textit{Putney Bridge is a bridge crossing of the River ... |
2,869,038,155,210 | arxiv | \section{Introduction and main results.}
The main object of study of this note is a class of stable-like processes associated with the following operator
\begin{equation}\label{ope:L}
\mathcal{L} f(x)=\int[ f(x+h)-f(x)-1_{(|h|\leq 1)}h\cdot {\nabla} f(x)]\frac{n(x,h)}{|h|^{d+\alpha}}\,\d h,
\end{equation}
where when $\... |
2,869,038,155,211 | arxiv | \section{Introduction}
Network tomography is proposed in \cite{YV96} to obtain network
characteristics without modifying network infrastructure, where the
author suggests the use of end-to-end measurement and statistical
inference together to estimate the characteristics instead of direct
measurement. The end-to... |
2,869,038,155,212 | arxiv | \section{Introduction}
Zero anaphora is a discourse phenomenon, where pronouns can be omitted when they are pragmatically or grammatically inferable from intra- and inter-sentential context~\cite{li1979third}. However, translating such implicit information (i.e. zero pronoun, ZP) poses various difficulties for machine... |
2,869,038,155,213 | arxiv | \section{Introduction}
In a turbulent flow, various processes like energy cascade, intermittency, fluid element deformation are strongly related to the small scale velocity gradient field. Various experimental, direct numerical simulation and simple dynamical models based studies have been performed to understand the d... |
2,869,038,155,214 | arxiv | \section{Introduction}
\def{\sf R}{{\sf R}}
\defC^\infty{C^\infty}
The current work is concerned with developing an effective and
universal approach to treating and extending three identities,
each of which plays a central role in the constraint of classes of non-linear
geometric PDE problems.
Of these, the most eas... |
2,869,038,155,215 | arxiv | \section{Introduction}
In this paper, the success probabilities for two prominent methods, {\em viz}, general integer sieve method and elliptic curve method, are presented. The estimates are specialized for the elliptic curve factorization algorithm. The random variables studied are (1) the number generated by exponent... |
2,869,038,155,216 | arxiv | \section{Introduction}
Heegaard Floer homology, developed by Ozsv\'ath and Szab\'o \cite{OSz3Manifold}
in the early 2000s, has been an extremely effective tool for answering
classical questions about 3-manifolds, particularly concerning the genera of
embedded surfaces \cite{OSzGenus}. However, surprisingly little is k... |
2,869,038,155,217 | arxiv | \section{Introduction}\label{one}
Symmetries have not played as big a role in open quantum dynamics as in the complete quantum dynamics of a closed system. One reason may be that structures where we might see symmetries are changed. The Schr\"{o}dinger picture can look quite different for the open quantum dynamics o... |
2,869,038,155,218 | arxiv | \section{Introduction}
We consider \emph{online convex optimization} (OCO) of a sequence of convex
functions $f_1,\ldots,f_T$ over a given bounded convex domain, which
become available one by one over the course of $T$ rounds
\citep{ShalevShwartz2011,HazanOCOBook2016}. Typically $f_t(\w) =
\textsc{loss}(\w,\x_t,y_t)$ ... |
2,869,038,155,219 | arxiv | \section{Introduction and statements of the theorems}
In 1917, Ramanujan introduced a novel idea
which enabled him to derive an elegant functional
equation of the classical Riemann zeta function.
He showed that for $\Re(s)>1$,
the Riemann zeta function
$\zeta(s):=\sum_{n \ge 1} \frac{1}{n^s}$
satisfies the following f... |
2,869,038,155,220 | arxiv | \section{Introduction}
\label{sec:Intro}
Motivated by recent discoveries of interesting multiorbital superconductors,
unconventional pairing mechanisms
driven by the orbital degrees of freedom
have attracted increasing attention.
For example, in FeSe families and some heavy fermion superconductors,
the super... |
2,869,038,155,221 | arxiv | \section{Introduction}
Let $\mathbb{F}_5$ denote the finite field of order $5$.
An $[n,k]$ code $C$ over $\mathbb{F}_5$ is a $k$-dimensional vector subspace
of $\mathbb{F}_5^n$, where $n$ is called the length of $C$.
All codes in this note are codes over $\mathbb{F}_5$.
An $[n,k,d]$ code is an $[n,k]$ code with minimu... |
2,869,038,155,222 | arxiv | \section{Introduction}
\subsection{Background and overview}
Baxter first introduced his Q-operator in \cite{Ba72,Ba73} as an auxiliary tool in the derivation of Bethe Equations for the eigenvalues of the 8-vertex model transfer matrix.
The key characters in the story are the transfer matrix $\mc{T}(z)$ and the Q-ope... |
2,869,038,155,223 | arxiv | \section{Introduction}\label{sec:intro}
Materials play a central role in the effort to produce cheaper and more efficient solar cells. The discovery of improved absorber materials has the potential to significantly increase the cost-effectiveness of photovoltaic devices, but experimental trial and error methods are of... |
2,869,038,155,224 | arxiv | \section{Introduction}
In this note, we extend some classical theorems in
the theory of total positivity to the case of an arbitrary semisimple
complex Lie group. We begin by reviewing the results we are going to
generalize.
\medskip
Let $G = GL_n (\mathbb{C})$ or $SL_n (\mathbb{C})$.
The following theorem is due ... |
2,869,038,155,225 | arxiv | \section{Introduction}
In the last 10 years, deep learning has transformed the technology industry enabling computers to perform image classification and recognition, translation, path planning, and more \cite{AKINOSHO2020101827, MISHRA2020104000, KOTSIOPOULOS2021100341, gpt2_fewshot}. While these efforts have been fru... |
2,869,038,155,226 | arxiv | \section{Introduction}
In an earlier paper, we described calculations of the
graviton-loop corrections to the energy-momentum tensor of a
charged spinless or a spin 1/2 particle of mass $m$ and we focused
on the nonanalytic component of such results\cite{gar}. This is
because such nonanalytic pieces involve singular... |
2,869,038,155,227 | arxiv | \section{Introduction}
Text summarization aims to produce an accurate text snippet to capture the key information. Existing methods are either extractive or abstractive. Extractive methods select sentences from the document and the abstractive methods generate sentences based on the input document as a summary. With t... |
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