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1,108,101,564,315 | arxiv | \section{Introduction}
Image registration is a fundamental task in image processing, whose importance soars with growing number of different types of devices and increasing availability. It also serves as a crucial step in a great variety of biomedical imaging applications. Registration techniques can be generally div... |
1,108,101,564,316 | arxiv | \section{Introduction}
Automatic speaker identification/recognition (ASI/ASR), that is, the automated process of inferring the identity of a person from an utterance made by him/her, on the basis of speaker-specific information embedded in the corresponding speech signal, has important practical applications. For e... |
1,108,101,564,317 | arxiv | \section{Introduction}
Inequalities for information measures are widely used in many applications.
In \cite{part1, part1_arxiv}, we investigated tight bounds between the Shannon entropy \cite{shannon} and the $\ell_{\alpha}$-norm, as shown in Theorems \ref{th:extremes} and \ref{th:extremes2} of Section \ref{subsect:pr... |
1,108,101,564,318 | arxiv |
\section{Introduction}
The next generation of cosmology experiments~\cite{cmbs4,desi1,desi2,euclid,lsst,so,spherex} are aimed at exploring some of the most exciting questions in fundamental science -- the twin mysteries of dark energy and dark matter and the origin of primordial fluctuations, along with the use of co... |
1,108,101,564,319 | arxiv | \section{Introduction}
In this paper, we explore the connections among
the theories of first-order rigidity of bar and joint
frameworks (and associated structures) in various metric
geometries extracted from the underlying projective space of
dimension $n$, or
$\mathbb R^{n+1}.$ The standard examples include Euclide... |
1,108,101,564,320 | arxiv | \section{Introduction}
\label{sec:intro}
The development of devices employing protein transport through complex\
geometries is a critical problem with a great deal left to be\
comprehended. An accurate simulation model of proteins that allows\
efficient simulations of large systems ($>50$~nm) would provide a\
platform... |
1,108,101,564,321 | arxiv | \section{Introduction}
\subsection{Motivation}
The electric power grid is recognized as the largest engineering achievement in the 20th century. In recent years, it has been experiencing a transformation to an even more complicated
system with an increased number of distributed energy sources and more active and les... |
1,108,101,564,322 | arxiv | \section{Introduction}
Bimetallic nanoparticles are of fundamental interest for electrocatalysis applications as they exhibit emergent catalytic properties driven by ligand, strain, and ensemble effects that are absent in monometallic catalysts. Because of their profound impact on catalytic performance, significant at... |
1,108,101,564,323 | arxiv | \section{Introduction}
\SetEQ
\vspace{1ex}\noindent
{\bf Motivation.} In Nonlinear Optimization, it seems to
be a natural idea to increase the performance of numerical
methods by employing high-order oracles. However, the main
obstacle to this approach consists in a prohibiting
complexity of the corresponding ... |
1,108,101,564,324 | arxiv | \section{Introduction \label{intro}}
The problem studied in this note is motivated by a special feature
of the ordering process of a fashion discounter with many branches:
For each product that hits the shelves, the internal stock-turnover
has to distribute around 10\,000 pieces among the around 1\,000
branches, correc... |
1,108,101,564,325 | arxiv | \section*{Version fran\c{c}aise abr\'eg\'ee}
\vskip-.65cm
\selectlanguage{english}
\section{The global evolution problem for the Einstein equations}
\paragraph*{\bf Main objective.}
We consider the initial value problem when initial data are prescribed on a spacelike hypersurface and we tackle two major... |
1,108,101,564,326 | arxiv | \section{Introduction}
Black phosphorus (BP) is a layered material similar to graphite with
the atomic layers coupled by van der Waals interactions
\cite{YBZhang,Ye,StevenP,FengnianXia}. Few-layer
\cite{YBZhang,Ye,StevenP,FengnianXia,Buscema} and monolayer
\cite{Ye,Andres,Lu,xmwang} BP (termed as phosphorene) have been... |
1,108,101,564,327 | arxiv | \section{Introduction}
In the era of database astronomy, the construction of spectral energy distributions (SEDs) from the ultra-violet to the mid-infrared for large samples of stars is straightforward, requiring little user-input or effort. Modern tools such as the VO SED Analyzer \citep{bay08:aa492} can even detect ... |
1,108,101,564,328 | arxiv | \section{INTRODUCTION}
Due to the prominent demand for both quality and safety in surgery, it is essential for surgeon trainees to achieve required proficiency levels before operating on patients~\cite{roberts2006evolution}.
An absence of adequate training can significantly compromise the clinical outcome, which has b... |
1,108,101,564,329 | arxiv | \section{Introduction}
A chemical reactor is a system where a set of reactions and their
mixing takes place. Chemical engineers are interested in finding the most cost-efficient reactor for a given chemical reaction. Fritz Horn in 1964 was the first to reduce this optimisation problem to that of
finding the feasible ... |
1,108,101,564,330 | arxiv | \section{DOA estimation with the Nao robot array}
\label{sec:NAO_description}
This section describes the method for direction of arrival (DOA) estimation in tasks 1 and 2, that was performed with the Nao robot array.
In this paper, the same spherical coordinate system is used, as described in \cite{lollmann2018locata}... |
1,108,101,564,331 | arxiv | \section{Introduction}
Scanning capacitance microscopy (SCM) is a useful imaging technique that allows one to acquire topographical features of micro- and nano-sized samples. One of the early SCM instruments, based upon a commercial product (RCA CED video Disc),\cite{mat} is made of a capacitive sensor driven by an ult... |
1,108,101,564,332 | arxiv | \section{A Patterson-Sullivan construction of equilibrium states}
\label{sect:construction}
We refer to \cite[Chap.~3, 6, 7]{PauPolSha15} and \cite[Chap.~2, 3,
4]{BroParPau19} for details and complements on this section.
Let $X$ be (see \cite{BroParPau19} for a more general framework)
$\bullet$~ either a complete... |
1,108,101,564,333 | arxiv | \section{Introduction to relativistic quantum mechanics}
It is a widespread opinion that a relativistically invariant quantum theory of interacting particles has to be a (local) quantum field theory. Therefore we first have to specify what we mean by \lq\lq relativistic quantum mechanics\rq\rq . Relativistic quantum me... |
1,108,101,564,334 | arxiv | \section{Energy theorem}
\paragraph{}
A {\bf finite abstract simplicial complex} is a finite set of
non-empty sets which is closed under the operation of taking finite non-empty
subsets. The {\bf connection graph} $G'$ of such a {\bf simplicial complex}
$G$ has as the vertices the sets of $G$ and as the edge set th... |
1,108,101,564,335 | arxiv | \section{Introduction}
The term Active Galactic Nucleus (AGN) refers to the existence of very
energetic phenomena occurring in the centers of some galaxies that cannot be
attributed to stars. In the standard model, AGNs consist of a black hole
surrounded by an accretion disk. There is good evidence that relativistic... |
1,108,101,564,336 | arxiv | \section{Introduction}
The excited states of the Calogero-Sutherland model \cite{rSu}
and its relativistic model
(the trigonometric limit of the Ruijsenaars model) \cite{rR}
are described by the Jack polynomials \cite{rSt}
and their $q$-analog (the Macdonald polynomials) \cite{rM}, respectively.
Since the Jack polyno... |
1,108,101,564,337 | arxiv | \section*{Results}
\subsection*{Restricted Boltzmann Machines}
\subsubsection{Definition}
A Restricted Boltzmann Machine (RBM) is a joint probabilistic model for sequences and representations, see Fig.~1C. It is formally defined on a bipartite, two-layer graph (Fig.~1B). Protein sequences ${\bf v} = (v_1,v_2,...,v_... |
1,108,101,564,338 | arxiv | \section{Introduction}
Here is a 3-ball:
\begin{center}
\includegraphics[scale=0.65]{figures/3ball}
\end{center}
\noindent and here is a 3-ball with a handle attached:
\begin{center}
\includegraphics[scale=0.65]{figures/3ballhandle}
\end{center}
\noindent This is the Conway knot:
\begin{center}
\includegraphic... |
1,108,101,564,339 | arxiv | \section{Chacon infinite transformation}
\subsection{Introduction}
The classical Chacon transformation, which is a particular case of a finite measure preserving rank-one transformation, is considered as one of the jewels of ergodic theory~\cite{kt2006}. It has been formally described in~\cite{Friedman}, following idea... |
1,108,101,564,340 | arxiv | \section{INTRODUCTION}
\label{sec:intro}
Type Ia Supernovae (SNe Ia) are one of the most energetic events
in the universe, now known to be originated by thermonuclear
detonations of carbon-oxygen (CO) white dwarfs
(\citealt{Hoyle1960}). Several possible scenarios leading to a SN
Ia outburst are currently envisaged, al... |
1,108,101,564,341 | arxiv | \section{Introduction}\label{sec:intro}
Early-type galaxies (ETGs) are among the most massive systems in
the Universe. They are on average metal-rich, dust and gas poor,
and formed their stars in early, rapid events (e.g.,
\citealt{Thomas2005,Fontanot+09}). The lack of easily
interpretable dynamical tracers, such as t... |
1,108,101,564,342 | arxiv | \section{Introduction}
We consider the initial value problem for a coupled Dirac--Klein-Gordon system in two spatial dimensions. The DKG system of interest describes a massless spinor $\psi = \psi(t,x): \RR^{1+2} \to \CC^2$ and a scalar field $v = v(t,x):\RR^{1+2} \to \RR$ of mass $m \geq 0$, whose dynamics are governe... |
1,108,101,564,343 | arxiv | \section{Introduction}
The nonabelian nature of Quantum Chromodynamics (QCD)---the theory of the strong interactions---makes it possible to form bound states of gauge bosons, the so-called glueballs \cite{Fritzsch:1972jv,Fritzsch:1975tx,Jaffe:1975fd}.
In pure Yang-Mills theory, these are in fact the only possible part... |
1,108,101,564,344 | arxiv | \subsection{Acknowledgements}
I am very thankful to Ivan Fesenko and Matthew Morrow for many valuable
discussions, especially on an ad\`{e}le interpretation. I thank the Research
Group of Prof. Marc Levine for the stimulating scientific environment. I
heartily thank the anonymous referee for greatly improving the... |
1,108,101,564,345 | arxiv | \section{Introduction}
In the study of infinite matrix representations of operators in $\mathcal{B}(\mathcal{H})$, and especially the structure of commutators, it is common and natural to split up a target operator $T$ into two (or finite) sum of natural parts.
For example, every finite matrix is the sum of its upper ... |
1,108,101,564,346 | arxiv | \section{Introduction}
It is well known that magnetic ordering is an essentially quantum
phenomenon. According to the Bohr -- van Leeven theorem (see, e.g.,
\cite{Vonsovskii}), the magnetization of a thermodynamically equilibrium
classical system of charged particles is zero even in presence of an external
magnetic fi... |
1,108,101,564,347 | arxiv | \section{Introduction}
Recently, the theory on existence and uniqueness of solutions of linear and
nonlinear fractional differential equations has attracted the attention of
many authors, see for example, \cite{agar1}-\cite{wang2} and references
therein. Many of the physical systems can better be described by int... |
1,108,101,564,348 | arxiv | \section{Introduction}
One of the most important and explicit indicators of stellar youth are circumstellar disks, which seem to be a universal feature of the star-forming process. The existence of a stellar companion close to a disk-bearing star, however, has a complex impact on the evolution of a disk: it will be tr... |
1,108,101,564,349 | arxiv | \section{Rate of particle production in thermal medium}
At Betatron energy, the temperature of excited nucleus $T_0=3.8\sqrt{N}$, where $N$ refers to the number of excited nuclei (resonances), was related to the excitation energy $U=m_2/(m_1+m_2)^2\, E$, with $m_1 (m_2)$ and $E$ being mass of projectile (mass of targe... |
1,108,101,564,350 | arxiv | \section{Introduction}
The Ising model~\cite{Lenz1920,Ising1925} of ferromagnetism in crystals has
been the object of sustained scrutiny since its introduction nearly a century
ago, due to the rich phenomenology it produces from simple
dynamics~\cite{McCoyMaillard2012,Taroni2015}. The Ising model has also had a
far-r... |
1,108,101,564,351 | arxiv | \section{Introduction}
This work considers large scale convex optimization problems that are defined over networks, and develops and analyzes distributed algorithms that are compatible with the communication constraints to solve them. Such optimization problems naturally arise in many engineering scenarios.
For examp... |
1,108,101,564,352 | arxiv | \section{Introduction.}
The estimation of a characteristic after selection has been recognized as an important practical problem for many years. The problem arises naturally in multiple applications where one wishes to select a population from the available $k\, (\geq 2)$ populations and then estimate some c... |
1,108,101,564,353 | arxiv | \section{Introduction}
The interest in decentralized cryptocurrencies has grown rapidly in recent years. Bitcoin \cite{nakamoto2008bitcoin}, as the first and most famous system, has attracted massive attention. Subsequently, a handful of cryptocurrencies, such as Ethereum \cite{wood2014ethereum}, Namecoin \cite{ali201... |
1,108,101,564,354 | arxiv | \section{Introduction}
The binomial transform is useful in several contexts, including analytic continuation and series
acceleration \cite{doi:10.1080/10652469.2016.1231674,Hirofumi}. With an eye toward these applications, we will first show how to derive a generalization of the binomial transform; second, we will s... |
1,108,101,564,355 | arxiv |
\section{Discussion and Future Work}
In this paper, we address the problem of risk-sensitive RL under safety constraints and coherent risk measures. We propose that maximizing the value function under risk or safety constraints is equivalent to playing a risk-sensitive non-zero sum (RNS) game. In the RNS game, an ad... |
1,108,101,564,356 | arxiv |
\section{The Proposed Framework}
\label{sec_network}
\begin{figure}[t]
\centering
\begin{subfigure}[b]{0.45\linewidth}
\includegraphics[width=\linewidth,height=0.65\linewidth]{images/detection/58_image.jpg}
\end{subfigure}
\begin{subfigure}[b]{0.45\linewidth}
\includegraphics[width=\linewidth,hei... |
1,108,101,564,357 | arxiv | \section{Introduction}
Over the past few years, the landscape of computer vision has been noticeably changed from the engineered feature architecture to an end-to-end feature learning architecture, deep neural networks, by which many state-of-the-art work advanced the development of classical tasks such as object dete... |
1,108,101,564,358 | arxiv | \section{Introduction}\label{s1}
\setcounter{equation}{0}
On October 11, 2019 passed away well-known specialist in Probability and Statistics professor Abram Aronovich Zinger. One of the main fields of his scientific interests was the theory of characterizations of probability distributions. He published a number... |
1,108,101,564,359 | arxiv | \section[The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance ]{\textbf{\center The
Mathematics of Painting: \\
the Birth of Projective Geometry in the Italian Renaissance }}
\section[]{\bfseries }
\begin{center}
{\large Graziano Gentili, Luisa Simonutti and Daniele C. Struppa}\foot... |
1,108,101,564,360 | arxiv | \section{Introduction}
In the field of solid state physics, in particular physics of defects, the legacy of Ekkehart Kr\"oner who died ten years ago at
the age of $81$, is invaluable. He has been actively publishing for $50$ years, mostly as a single author, on the physical
understanding of defective solids, but a... |
1,108,101,564,361 | arxiv | \section{Introduction}
\subsection{Motivations}
The notion of twisted Alexander polynomials was introduced by Wada [W] and Lin [L] independently in 1990s.
The definition of Lin is for knots in $S^3$ and the definition of Wada is for finitely presented groups.
The twisted Alexander polynomial is a generalization of the... |
1,108,101,564,362 | arxiv | \section*{References\markboth
{References}{References}}\list
{[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}
\leftmargin\labelwidth
\advance\leftmargin\labelsep
\usecounter{enumi}}
\def\hskip .11em plus .33em minus .07em{\hskip .11em plus .33em minus .07em}
\sloppy
\sfcode`\.=1000\relax}
\let\endthebibliography... |
1,108,101,564,363 | arxiv | \section{Introduction}
The major goals of cancer genomics include identification of risk factors associated with the progression of cancer and prediction of disease outcomes. In conventional cancer studies, clinical factors such as age, gender, and tumor stage are routinely studied and used as prognostic factors. Recen... |
1,108,101,564,364 | arxiv | \section{Introduction}
It is known that quantum gravity is hoped to
resolve the initial singularity of the universe and assign a proper
initial condition with a reasonable probability, where the
corresponding wavefunction of the universe is discribed by the
Wheeler-DeWitt equation \cite{DeWitt:1967yk}.
In order to ob... |
1,108,101,564,365 | arxiv | \section{Introduction}
Continuous Variables Quantum Key Distribution (CV-QKD) tackles the problem of the generation and distribution of symmetric cryptographic keys without assuming any computational limitations while employing standard telecom equipment~\cite{grosshans02b}.
However, the amount of information available... |
1,108,101,564,366 | arxiv | \section{Introduction}
\label{gidqnn_intro}
Quantum computing has attracted great attention in recent years, especially since the realization of quantum supremacy~\cite{nature_arute2019quantum,science_abe8770} with noisy intermediate-scale quantum (NISQ) devices~\cite{quantum_Preskill2018}.
Due to mild requirements o... |
1,108,101,564,367 | arxiv | \section{Introduction}
The fuzzy approximation scheme \cite{fuzzy} consists in
approximating the algebra of functions on a manifold with a finite
dimensional matrix algebra instead of discretising
the underlying space as a lattice approximation does.
Here we report our results for a hermitian scalar field
on the fuzzy... |
1,108,101,564,368 | arxiv | \section{Introduction}\label{intro}
Surveys are an indispensable tool for learning the characteristics of
a population, from matters of public health, such as drug use
frequency, to gauging public opinion on issues like abortion and
homosexuality, to electing the leaders of a democratic country. Their
reliability ... |
1,108,101,564,369 | arxiv | \section{Introduction}
Solution of few-body scattering problems, especially above the
three-body breakup threshold, no matter in differential or integral
formalism, involves a very large amount of calculations and
therefore requires extensive use of modern computational facilities
such as powerful supercomputers. As a... |
1,108,101,564,370 | arxiv | \section{Introduction}
This paper investigates the statistical properties of random matrices of the form $\mathbf{W} = \mathbf{H} \mathbf{H}^\dagger$, where $\mathbf{H}$ is $2 \times 2$ with independent entries
\begin{align} \label{eq:Basic}
\mathbf{H}_{ij} \sim \mathcal{C N} (0, \phi_{ij}) , \quad \quad i, j = 1, ... |
1,108,101,564,371 | arxiv | \section{Introduction}
In machine learning pure applications of
MDL are rare, partially because of the difficulties one encounters
trying to define an adequate model code and data-to-model code,
and partially because of the operational difficulties that are poorly
understood. We
analyze aspects of both the power and th... |
1,108,101,564,372 | arxiv | \section{Introduction}
In a helicity formalism the simplest Yang-Mills amplitudes are the
MHV amplitudes where precisely two external gluons have negative
helicity and the remaining legs all have positive helicity.
If legs $j$ and $k$ have negative helicity, the colour-ordered~\cite{TreeColour} partial
amplitude tak... |
1,108,101,564,373 | arxiv | \section{Introduction}
Although one would expect the solar corona to have the same elemental abundances of the solar photosphere, this is not always the case \citep{Pottasch1963,Meyer1985a,Meyer1985b,Widing&Feldman1989,Widing&Feldman1995,Sheeley1995,Sheeley1996}.
The abundance variation observed in the corona depends... |
1,108,101,564,374 | arxiv | \section{Introduction}
Liesegang rings appear as regular patterns in many chemical
precipitation reactions. Their discovery is usually attributed to the
German chemist Raphael Liesegang who, in 1896, observed the emergence
of concentric rings of silver dichromate precipitate in a gel of
potassium dichromate when seed... |
1,108,101,564,375 | arxiv | \section{Introduction}
Accretion disks are ubiquitous in astrophysical systems, feeding objects ranging in size from planets to black holes. Rapid disk accretion requires rapid angular momentum transport, but only a few transport mechanisms are known: self-gravity, turbulence from the magnetorotational instability, dr... |
1,108,101,564,376 | arxiv | \section{Record gaps between primes}
\begin{center}TABLE 1 \\Maximal gaps between primes below $4\times10^{18}$ \
\cite[OEIS A005250]{nicely,toes,oeis}
\\[0.5em]
\small
\begin{tabular}{rrr|rrr}
\hline
\multicolumn{2}{r}{Consecutive primes} & Gap $g$ &
\multicolumn{2}{r}{Consecuti... |
1,108,101,564,377 | arxiv | \section{Introduction}
Index tracking aims at replicating the performance and risk profile of a given market index, and
constructs a tracking portfolio such that the performance of the portfolio is as close as possible to that
of the market index. Index tracking problem has received a great deal of attention in the ... |
1,108,101,564,378 | arxiv | \section{Introduction}\label{s:introduction}
Sup-functionals of the supremum of fractional Brownian motion
play crucial role in many problems arising both in theoretical probability and its applications, as in e.g. statistics, financial mathematics, risk theory, queueing theory, see e.g.
\cite{AdT07,DeM15, Man07, Pit96... |
1,108,101,564,379 | arxiv | \section{Introduction}
Monte Carlo methods are considered the gold standard for dose calculation in radiotherapy treatment planning due to their accuracy \citep{paganettiRangeUncertaintiesProton2012, wengVectorizedMonteCarlo2003}. However, the accuracy of a simulated compared to a delivered dose is not only determined ... |
1,108,101,564,380 | arxiv | \section{Introduction}
The clustering of galaxies is often used to study the power-spectrum of the
underlying mass distribution (e.g. Tegmark et al. 2006). Since the data
does not reflect the clustering of mass but rather the clustering of
galaxies, a correction factor termed {\it the galaxy bias} must be applied
... |
1,108,101,564,381 | arxiv | \section{Introduction}
Multidimensional distributions whose marginal distributions are uniform are called copulas. Among them, the one that satisfies the expectation constraints and is closest to the independent distribution in the sense of Kullback--Leibler (KL) divergence is called the minimum information copula. Min... |
1,108,101,564,382 | arxiv |
\section{Introduction}
The notion of an infinite permutation was introduced in \cite{flaas}, where were investigated the periodic properties and low complexity of permutations.
Similarly to the definition of subword complexity of infinite words, we can introduce the notion of the factor complexity of a permutation as ... |
1,108,101,564,383 | arxiv | \section{Introduction}
Patterns of the Standard Model (SM) fermion masses suggest undiscovered new physics in the SM Yukawa sector. Among various approaches to interpret the SM fermion mass spectra, the Koide formula~\cite{Koide:1982si, Koide:1983a, Koide:1983b}
\begin{equation}
K = \frac{m_e + m_\mu + m_\tau}{\left ... |
1,108,101,564,384 | arxiv | \section{Introduction}
CP violation in the Standard Model (SM) has first been measured in the Kaon sector. The CP violating parameter measured in the famous Cronin-Fitch experiment \cite{Christenson:1964fg} is $\varepsilon_K$, which describes the mixing between CP and mass eigenstates of the neutral Kaon system. The p... |
1,108,101,564,385 | arxiv | \section{Introduction}\label{sec:introduction}
In recent years, interest in analyzing team sport videos has increased significantly in academia and
industry~\citep{r1, r2, r3, r4, r5, r6, r7}.
This is important for sports broadcasters and teams to understand key events in the game and
extract useful information from t... |
1,108,101,564,386 | arxiv |
\section{Method}
\label{sec:algorithm}
\subsection{Notations}
Sets are shown with calligraphic letters. For a set $\mathcal{C}$, $|\mathcal{C}|$ designates its cardinality. Matrices are indicated with uppercase letters; vectors and scalars are indicated with lowercase letters. Let $[n] = \{1,2,\ldots,n\}$. For a ma... |
1,108,101,564,387 | arxiv | \section{Introduction}
Black holes are maximum entropy objects, and so a black hole has more entropy than any other object with the same volume \cite{1, 1a, 2, 4, 4a}.
It is important to associate a maximum entropy with a black hole as finite entropy objects
can cross the horizon of a black hole. This would spontaneous... |
1,108,101,564,388 | arxiv | \section{Introduction}
The spectroscopic study of nucleon resonances ($N^*$ and $\Delta^*$) dates back
to the discovery of the $\Delta$ baryon by the Chicago University group in 1952~\cite{chicago}.
Here, the existence of a new baryon with the isospin $3/2$,
which has come to be known as $\Delta(1232)3/2^+$, ... |
1,108,101,564,389 | arxiv | \section{Introduction}\label{sec:introduction}}
\IEEEPARstart{u}{ndeniably}, the advances in immersive multimedia technologies introduced in the last five years are impressive. Extended reality (XR) technologies, which include virtual (VR) and augmented reality (AR) technologies, made huge leaps forward both in te... |
1,108,101,564,390 | arxiv | \section{Introduction}
\label{sint}
The goal of the classical curve simplification problem is to reduce
the number of the vertices of a polygonal curve, without changing
its shape significantly. There are several applications in which
curve simplification plays an important role. In trajectory analysis, for instance,... |
1,108,101,564,391 | arxiv | \section{Fidelity susceptibility for the $S=1$ $J_1-J_3$ chain in the vicinity of the phase transition}
\begin{figure}[b]
\includegraphics[width=0.45\textwidth]{fidelity_susceptibility_new2}
\caption{(Color online) Fidelity susceptibility [Eq.~\eqref{eq:fsusc}] as a function of $J_3 / J_1$ for different system sizes i... |
1,108,101,564,392 | arxiv | \section*{Introduction}
The amount of sources generating multimedia streaming data has extremely increased in recent decades. Multimedia streaming data are really relevant in computerized systems, social medias, web forums, computational vision applications, and daily digital news purposes to name just a few. Multimedi... |
1,108,101,564,393 | arxiv | \section*{Extensivity of the entropy}
Let now address point (i). We consider the classical Hamiltonian mentioned above, with (attractive) potential $V(r)$ which diverges for any dimensionless distance $r<1$, and precisely equals $-A/r^\alpha$ for $r \ge 1$ with $\alpha \ge 0$ and $A>0$.
As mentioned, we verify that th... |
1,108,101,564,394 | arxiv | \section{Introduction}
Compressive sensing~(CS) has become an important tool in modern signal processing.
It allows to identify sparse solutions of underdetermined linear systems~\cite{donoho2006compressed}. Under the assumption that the original signal is sparse in some transform domain~\cite{mallat1999wavelet}, C... |
1,108,101,564,395 | arxiv | \section{Vacuum case}
Recently \cite{PL,hep-ph2} a new approach to implement recurrence
relations \cite{ch-tk} for the Feynman integrals was proposed.
In this work we extend the general formulas for the solutions
of the recurrence relations to the multi--loop case.
Let us consider first vacuum $L$-loop integrals with ... |
1,108,101,564,396 | arxiv | \section{#1}}
\newcommand{\sect}[1]{{\it \textbf{#1} ---}}
\begin{document}
\title{NLO Effects for Doubly Heavy Baryon in QCD Sum Rules}
\date{\today}
\author{Chen-Yu \surname{Wang}}
\affiliation{School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China}
... |
1,108,101,564,397 | arxiv |
\section{Introduction}
\label{sec:intro}
ΔΣ modulators \cite{Norsworthy:DSDC-1996, Reiss:JAES-56-1+2,
Schreier:UDSDC-2004, DeLaRosa:TCAS1-58-1} are nowadays widely used in a
variety of systems, usually as \ac{A/D} and \ac{D/D} interfaces. The latter may
in turn simplify sample rate conversion, \ac{D/A} conversion, ... |
1,108,101,564,398 | arxiv | \section{Introduction}\label{SecIntro}
A crucial step in the history of General Relativity (GR) was Einstein's adoption of the principle of general covariance\footnote{The terms general covariance, diffeomorphism invariance, and background independence are sometimes used interchangeably in the physics literature. In th... |
1,108,101,564,399 | arxiv | \section{Introduction}
Consider a family $\mathcal{K}$ of positive homothetic copies of a fixed convex body $K \subset \mathbb{R}^d$ with homothety coefficients $\tau_1, \ldots, \tau_n > 0$. Following Hadwiger~\cite{hadwiger1947nonseparable}, we call $\mathcal{K}$ \emph{non-separable} if any hyperplane $H$ intersect... |
1,108,101,564,400 | arxiv | \section{\large Introduction}
In this paper, we discuss the problem of formulating the causality
principle in quantum field theory on noncommutative spacetime. A
noncommutative spacetime of $d$ dimensions is defined by
replacing the coordinates $x^\mu$ of ${\mathbb R}^d$ by Hermitian
operators $\hat x^\mu$ satisfyi... |
1,108,101,564,401 | arxiv | \section{Introduction}
Despite some x-ray facilities and experiments make use of Compton scattering to probe for instance the electronic and magnetic structure of materials~\cite{Sak98, Tsc98}, the limited flux and brilliance (brightness) that is currently available at the required high energies ($\gtrsim$20~keV), see... |
1,108,101,564,402 | arxiv | \section{Introduction}
\label{sec:intro}
The dynamics of quantum fields in an expanding spacetime is a subject of primordial importance for cosmology and inflation. In this context, the usual approach is a semi-classical treatment where spacetime is treated classically and interacts with a matter content which is of q... |
1,108,101,564,403 | arxiv | \section{Introduction}
The angular size-redshift (theta-z) relation for a cosmological
population of standard rods is a powerful probe of the large-scale
geometry of the Universe. However, previous attempts to measure
the cosmological parameters from the angular size-redshift
relation of double radio-lobed radio sourc... |
1,108,101,564,404 | arxiv | \section{Introduction}
One of the most difficult challenges in theoretical physics is to find the ultimate quantum gravity theory describing the Universe at high energies. Up to date, many consistent aspects of a quantum cosmology theory have appeared in the literature, with the most promising being the Loop Quant... |
1,108,101,564,405 | arxiv | \section{Introduction}\label{sec:introduction}
A graph is considered to be \textit{expander} when the absolute value of all the eigenvalues of its transition matrix except one are bounded away from $1$. Expander graphs are one of the most useful combinatorial objects in theoretical computer sciences. They have a wide... |
1,108,101,564,406 | arxiv | \section{Introduction}
Deep neural networks (DNNs) have achieved state-of-the-art performances on many tasks, such as image classifications. However, DNNs have been shown to be vulnerable to adversarial attacks \cite{szegedy2014intriguing} \cite{goodfellow2015explaining}. Adversarial attacks are carefully designed smal... |
1,108,101,564,407 | arxiv | \section{Introduction}
\label{sec:intro}
With the availability of cheap computing power, modern cameras can rely on computational post-processing to extend their capabilities under the physical constraints of existing sensor technology. Sophisticated techniques, such as those for denoising~\cite{ndnz,epll}, deblurring... |
1,108,101,564,408 | arxiv |
\section{Introduction}
\label{sec:intro}
Multiple Sclerosis (MS) is an autoimmune disease of the central nervous system, in which
inflammatory demyelination
of axons causes focal lesions to occur in the brain. White matter lesions in MS can be detected
with standard magnetic resonance imaging (MRI) acquisition... |
1,108,101,564,409 | arxiv | \section{Introduction}\label{intro}
{The smallest enclosing ball (SEB) problem is considered in this paper. The SEB
problem is to find a ball with the smallest radius that can enclose
the union of all given balls $B_i~(i=1,2,\cdots,m)$ with center
$c_i$ and radius $r_i\geq0$ in $\mathbb{R}^n$, i.e., $$B_i=\left\{x\in
\... |
1,108,101,564,410 | arxiv | \section{Introduction}\label{Sect:intro}
Although solar flares have been investigated for decades, there are still open questions, such as how the released energy is transported throughout the atmosphere and deposited in the lower atmospheric layers. By studying chromospheric spectral lines, we probe the underlying phy... |
1,108,101,564,411 | arxiv | \section{Introduction}
\begin{figure}[t]
\centering
\includegraphics[width=0.85\linewidth]{figures/teaser}
\caption{\textbf{Our few-shot video classification setting}. %
Pairs of semantically matched frames are connected with a blue dashed line. The arrows show the direction of the temporal alignment p... |
1,108,101,564,412 | arxiv | \section{Introduction}
In recent years, an increasing number of transients have been observed to peak with optical luminosities between those of novae (typically $M_V>-10$) and supernovae (SNe; typically $M_V<-15$). This is due in large part to the increasing coverage, depth, and cadence of astronomical surveys. Some o... |
1,108,101,564,413 | arxiv | \section{Introduction}
\label{sec:introduction}
A completeness proof for a 1-free process theory modulo bisimilarity was recently
presented in \cite{gf20}\footnote{Preprint available at:
\texttt{https://www.cs.vu.nl/{\textasciitilde}wanf/publications.html}}\footnote{Extended
version available at: \texttt{https://arx... |
1,108,101,564,414 | arxiv | \section{Introduction}\label{sec:int}
This work encompasses the study of controlled predator-prey systems.
The control process is devoted to harvesting activities, which
is one of the central issues in bio-economics.
It has been widely recognized that it may not be a good idea to consider only maximizing short-term ben... |
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