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2,121,713,845,941 | arxiv | \section{Introduction}\label{sec:intro}
\begin{figure}
\centering
\includegraphics[trim = {0.5cm 1.5cm 0cm 1.5cm},scale=0.55, clip=true]{figure1a.eps}
\includegraphics[trim = {1cm 0cm 0cm 0.5cm},scale=0.55, clip=true]{figure1b.eps}
\caption{Left: Non-time resolved PIV snapshots stacked along the... |
2,121,713,845,942 | arxiv | \section{Introduction}\label{sec:introduction}}
\IEEEPARstart{T}{he} rapid growth of mobile devices and applications along with their processing needs have led to the emergence of the fifth generation (5G) networks. The 5G networks have been introduced with properties like higher bit rate than 10 Gb/s, low latency ... |
2,121,713,845,943 | arxiv | \section*{Introduction}
In this work, we study the representations of bismash products that are related to exact factorizations of the symmetric group $S_n$ over an algebraically closed field $\k$. We are mainly concerned with the Frobenius-Schur indicators of such Hopf algebras. The classical Frobenius-Schur theorem ... |
2,121,713,845,944 | arxiv | \section{Introduction}
Let $q=p^h$, where $h$ is a positive integer and $p$ is a prime.
Linearized polynomials over ${\mathbb F}_{q^n}$
correspond to ${\mathbb F}_q$-linear transformations of the $n$-dimensional ${\mathbb F}_q$-vector space ${\mathbb F}_{q^n}$.
For this reason they have been intensively investigated ... |
2,121,713,845,945 | arxiv | \section{Introduction}
The fragility of quantum features has imposed to develop strategies to deal with
unwanted environmental (noisy) effects in quantum information processing.
The standard pursued approach relies in `working against environment', i.e. avoid as much as possible such effects.
However, recently it has ... |
2,121,713,845,946 | arxiv | \section{Introduction and main results}\label{Sintro}
Transformations, linear or not, which preserve matrix
structures with positivity constraints have been recently studied in at
least three distinct frameworks:
statistical mechanics and the geometry of polynomials
\cite{Borcea-Branden-1, Borcea-Branden-2,Bra... |
2,121,713,845,947 | arxiv | \section{Introduction.}
\hskip 2.2cm
{ \LARGE L}et $(M,\rho)$ be a closed (i.e. compact, boundaryless) riemannian surface.
\linebreak
Let
$
SM=\{(x,v):\rho(v,v)=1\}
$
be its unit tangent bundle with projection $\pi:SM\to M$, $\pi(x,v)=x$.
The {\it geodesic flow} $\phi_t:SM\to SM$ of $(M,\rho)$ is def... |
2,121,713,845,948 | arxiv | \section*{\textit{Dedication}}
\textit{
This article is dedicated to the memories of Fritz Haake and
Petr Braun.}
\textit{Fritz has been an outstanding personality.
For me (Sven) he was my teacher, Doktorvater,
mentor and friend. A role model in science and in life.
For me (Uzy) he was a friend, a
coll... |
2,121,713,845,949 | arxiv | \section{INTRODUCTION}
Lattice gauge theory is a well understood theoretical approach to the
equilibrium properties of finite temperature QCD, especially to bulk
thermodynamic properties. Experimentally, finite
temperature effects in QCD are of great interest for studies of
the early universe and heavy ion collisions... |
2,121,713,845,950 | arxiv | \section{Introduction}\label{introduction}
It is widely accepted that chemical peculiarity and pulsation are
almost mutually exclusive. The diffusion hypothesis \citep{vauclair} explains
in details why this occurs.
$\delta$~Scuti pulsation is driven by the $\kappa$ mechanism in the
\ion{He}{ii} ionisation zone. For ... |
2,121,713,845,951 | arxiv | \section{Introduction}\label{sec:Intro}
Lattice approaches based on the path integral formalism constitute an important tool
with which one can investigate non-perturbative aspects of many quantum field theories. The general idea is the following: given a continuum field theory with a classical action, one defines ... |
2,121,713,845,952 | arxiv | \section*{Supplemental Materials}
\renewcommand{\theequation}{S\arabic{equation}}
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\subsection{Why is there a dominant-subleading $\pi$-pair pattern: A perturbation theory perspective}
In this section, via degenerate pert... |
2,121,713,845,953 | arxiv | \section{Description of systems and purpose of analysis}\label{Intro}
In this paper, we study quantum gases of interacting bosons, such as atomic (or molecular) \textit{hydrogen}, \textit{helium} ($^{4}$He), or \textit{rubidium} ($^{85}$Ru). We review several new results arising from a mathematical analysis of such sy... |
2,121,713,845,954 | arxiv |
\section{Introduction}
High-performance computing systems enable transformative scientific research and discovery in various areas of national importance through computational modeling, simulation, data analysis and prediction. The opportunities to address complex challenges that are important for national security, ... |
2,121,713,845,955 | arxiv | \section{Introduction}
Extremal graph theory has enjoyed tremendous growth in recent decades. One of the central questions from which the theory originated can be described as follows. Given a \emph{forbidden graph} $H$, the Tur\'an problem asks to determine $\ext(n,H)$, the maximum possible number of edges in a graph ... |
2,121,713,845,956 | arxiv | \section{Introduction}
Stereo algorithms aim at reconstructing a 3D model from two or more images of the same scene acquired at different angles. This work only considers previously stereo-rectified image pairs. In that case the 3D reconstruction requires that the matched points in both images belong to the same... |
2,121,713,845,957 | arxiv | \section{Introduction}
\label{sec:intro}
Recently, face spoofing detection develops into a deeply concerned research topic in computer vision field. Most of anti-spoofing methods existed can be categorized into three chief varieties: physiological sign based approaches, texture based approaches and illumination peculia... |
2,121,713,845,958 | arxiv | \section{Appendix: Traces over graded categories}
For simplicity, and without loss of generality, we assume that the monoidal structures that we consider are strictly associative and unitary, i.e. $(A\otimes B)\otimes C = A\otimes (B\otimes C)$ and $A\otimes I = I\otimes A = A$.
\subsection{Graded categories and loo... |
2,121,713,845,959 | arxiv | \section{Introduction}
We consider the problem of distributed mean-square-error estimation, where a set of nodes is required to collectively estimate some vector parameter of interest from noisy measurements by relying solely on in-network processing. We consider an ad-hoc network consisting of $N$ nodes that are dist... |
2,121,713,845,960 | arxiv | \section[#1]{\centering\normalfont\scshape #1}}
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\section[#1]{\centering\normalfont\scshape #1}}
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\newtheoremstyle{alex}%
{20pt}%
{6pt}%
{\itshape}%
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... |
2,121,713,845,961 | arxiv | \section{Introduction} \label{sec:intro}
\noindent
The process on how the corona is heated to be many hundreds of
times hotter than the photosphere and accelerated to form a supersonic stellar wind
is still not clear. The observation of the nascent solar wind inside 6 solar radii (Rs) is very valuable to study the acce... |
2,121,713,845,962 | arxiv | \section{Introduction}
Nekrasov's extension \cite{Nek1,Nek2} of Seiberg-Witten theory \cite{SW1,SW2}
describes instanton sums
(LMNS integrals \cite{LMNS1,LMNS2})
in the $\Omega$-background deformed supersymmetric Yang-Mills theories.
Like Seiberg-Witten theory itself \cite{GKMMM,DW}, this extension can be encoded in t... |
2,121,713,845,963 | arxiv | \section{Introduction}
With the popularity of smartphones, wearable devices, intelligent home appliances, and autonomous driving, these distributed devices generate a great number of data every day. In order to make full and effective use, these data are usually sent to the data center for processing and learning tasks... |
2,121,713,845,964 | arxiv | \section{Introduction}
While there is no single theory of humour that can explain what makes jokes funny, or what makes a joke, a joke; we have multiple prominent theories that explain the core concepts of humour which have laid way to work such as ours. The core theory on which modern computational humour is currently... |
2,121,713,845,965 | arxiv | \section{Introduction}
Over the last several years, heterotic strings have been undergoing something
of a revival. There has been a lot of interest in heterotic strings
on non-K\"ahler manifolds (see {\it e.g.}
\cite{b2a,b2b,b2c,b2d,allan1,allan2}), on MSSM derivations from string
theory \cite{penn1,penn2}, as well ... |
2,121,713,845,966 | arxiv | \section{Introduction}
\smallskip
\noindent {\bf 0.0 Review of results} In \cite{W2} we have introduce $\ell$-adic Galois polylogarithms.
For each $z\in \Qbb$, $l_k(z)$ is a function from $G_\Qbb$ to $\Qbb _\ell$.
These functions $l_k(z)$ are analogues of the classical polylogarithms $Li_k(z)=\sum _{n=1}^\infty \f... |
2,121,713,845,967 | arxiv | \section{Introduction}
Logistic regression (Cox, 1958) is probably the most fundamental statistical tool to model categorical dependent variable.
Let $Y$ be a categorical response variable
and let $X$ be an observable $d$-dimensional vector of covariates.
Without loss of generality, we focus on binary response typic... |
2,121,713,845,968 | arxiv | \section{Introduction}
Until recently, the NLP community is witnessing a dramatic paradigm shift toward the pre-trained deep language representation model, which achieves state of the art in various NLP tasks such as question answering \cite{CoMatchingNET,PassageRanking}, sentiment classification \cite{BERT_ASpect} and... |
2,121,713,845,969 | arxiv | \section*{Introduction}
\label{intr}
A subset $A$ of a lattice $\langle L;\vee,\wedge\rangle$ is called \emph
{definable in} $L$ if there exists a first-order formula $\Phi(x)$ with one
free variable $x$ in the language of lattice operations $\vee$ and $\wedge$
which \emph{defines $A$ in} $L$. This means that, f... |
2,121,713,845,970 | arxiv | \section{Introduction}
\subsection{Furstenberg discretizations}
\label{subsec:furstenbergdisc}
Let $\mu$ be a Borel probability measure on a locally compact and second countable (lcsc) group $G$. We say that $\mu$ is \emph{spread-out} if it is absolutely continuous with respect to the Haar measure on $G$ and if its su... |
2,121,713,845,971 | arxiv | \section*{Acknowledgments}}{}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{theorem2}{Theorem}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{question}[theorem]{Question}
\newcommand{... |
2,121,713,845,972 | arxiv | \section{Introduction}
Clustering of time series is an important and difficult problem that has drawn much attention recently and which in broad terms arises in situations where a set of unlabelled time series needs to be split into classes according to an appropriate
notion of similarity. Among the many examples, suc... |
2,121,713,845,973 | arxiv | \section{Introduction}
In the experiments performed to estimate the effects of a selected set of treatments, it is common that the responses are also affected by some other experimental conditions (the covariates -- e.g., time trend, block effects, the ages or the gender of the subjects in a clinical trial). The effec... |
2,121,713,845,974 | arxiv | \section{Conclusions}
\label{sec:conclusion}
Subjects pose is known to hinder gender recognition in wild conditions, influencing the focus of models on different subject features. In this context, frontal images typically bias the focus towards the facial region, while the body silhouette is the main focus in non-fron... |
2,121,713,845,975 | arxiv | \section*{Introduction} \label{sec:introduction}
The aim of this paper is to introduce the reader to a recent point of view on the Lipschitz classifications of complex singularities. It is an expansion of my notes prepared for the course given at the International school on singularities and Lipschitz geometry, whi... |
2,121,713,845,976 | arxiv | \section{Introduction} \label{sec:Introduction}
\par
Traditional credit risk models cater to individual consumers with empirical models (built by applying statistical or machine learning methods to large datasets). In contrast, corporate credit risk models are often theory-driven or may include a qualitative component... |
2,121,713,845,977 | arxiv |
\section{Introduction}
Curious free-play has been identified as a driving force in child development, allowing children to efficiently explore their environment and build an understanding of the world \cite{loewenstein1994psychology}.
Such intrinsically motivated exploration schemes are especially attractive in open... |
2,121,713,845,978 | arxiv | \section{Introduction and results}
The model we consider is built on two main ingredients,
a random walk $S$ and a random potential $\xi$.
We start describing these ingredients.
A word about notation: throughout the paper,
we denote by $|\cdot|$ the $\ell^1$ norm on $\mathbb{R}^d$,
that is $|x| = |x_1| + \ldots + |x... |
2,121,713,845,979 | arxiv | \section{Introduction}
In recent years, density functional theory (DFT) has emerged as a
powerful tool for describing the structure of nuclei. Based on the
seminal works of Kohn, Hohenberg, and Sham
\cite{ref:Ho64,ref:Ko65,ref:Ko99}, DFT was originally developed for
use in condensed matter physics; interestingly, it w... |
2,121,713,845,980 | arxiv | \section{Introduction}
\label{sec:intro}
The galaxy luminosity or mass function is a fundamental tool used in
interpreting the evolution of galaxies. The functions are usually
defined as the number density of galaxies per logarithmic luminosity
or mass interval. A steeply rising mass function to the faint
population h... |
2,121,713,845,981 | arxiv | \section{Credits}
\input{PaperSection/Introuduction.tex}
\input{PaperSection/Relatework.tex}
\input{PaperSection/Approach.tex}
\input{PaperSection/Experiment.tex}
\input{PaperSection/Conclusion.tex}
\section{FedNewsRec for Privacy-Pre... |
2,121,713,845,982 | arxiv | \section{Introduction}
L'étude des oscillateurs non-lin\'{e}aires est une th\'{e}matique actuellement importante, tant d'un point de vue acad\'{e}mique
qu'industrielle et qui touche de nombreux domaines, tels que l'hydrodynamique, l'a\'{e}ronautique, le g\'{e}nie civil, les transports, l'acoustique
musicale, le g\'{e... |
2,121,713,845,983 | arxiv | \section{Introduction}
The Mu2e experiment at Fermilab\cite{tdr} will search for the charged lepton flavor violating (CLFV)
process of muon conversion in an $^{27}$Al nucleus field, $\mu + N(Z, A) \rightarrow e + N(Z, A)$.
No CLFV interactions have been observed experimentally yet.
The current best limit on $\mu-e$ ... |
2,121,713,845,984 | arxiv | \section*{Abstract}\normalsize\sf}{}
\newcommand{\References}[1]{\begin{flushleft}{\large References\\}\vspace*{2mm}\small #1 \end{flushleft}}
\newcommand{\chapterCoAst}[3]{\chapter[\sf\normalsize #1\\ \footnotesize \hspace*{5mm}by #2 \sf\normalsize][]{#1\\}\rhead[\fancyplain{}{\sf\footnotesize \center{#3}}]{\fancyp... |
2,121,713,845,985 | arxiv | \section{Introduction}\label{introduction}
Gravity in 2+1 dimensions is a very simple model where it is
possible to derive exactly the correspondence between quantum black
holes properties and thermodynamical quantities.
In presence of a negative cosmological constant
$\Lambda=-1/\ell^{2}$, the General Relativity i... |
2,121,713,845,986 | arxiv | \section{Introduction}\label{sec:intro}
Although being close to stability, at present only two levels are known in $^{136}$Cs ($T_{1/2}=13.16$~d), namely the spin $5^+$ ground state and an isomer with a half-life of $T_{1/2}=19(2)$~s~\cite{ravn} and spin $8^-$~\cite{thibault}.
The excitation energy of the $8^-$ state ... |
2,121,713,845,987 | arxiv | \section{Introduction}
\label{Section1}
Federated learning (FL) has been an attractive distributed machine learning paradigm where participants jointly learn a global model without data sharing \cite{mcmahan2017communication}. It embodies the principles of focused collection and data minimization, and can mitigate many... |
2,121,713,845,988 | arxiv | \section*{}
\documentclass[aps,prb,twocolumn,floatfix,showpacs]{revtex4-1}
\usepackage{graphicx,bm}
\usepackage{times}
\usepackage{amsmath,amssymb}
\usepackage{epstopdf}
\bibliographystyle{apsrev}
\begin{document}
\title{Optical absorption spectroscopy in hybrid systems of plasmons and excit... |
2,121,713,845,989 | arxiv | \section{Introduction}
\noindent
The detection of atmospheric neutrino
oscillations proves that at least one neutrino mass eigenstate is as
heavy as approximately $(2.4 \pm 0.1 \times 10^{-3} \mathrm{eV}^2)^{1/2}$. In
the inverted hierarchy scenario, two eigenstates would have such a
large mass, while in the degenerate... |
2,121,713,845,990 | arxiv | \section{Introduction}
Wilson lines have been studied for many years in a variety of
contexts~\cite{Arefeva:1980zd,Polyakov:1980ca,Dotsenko:1979wb,Brandt:1981kf,
Korchemsky:1985xj,Ivanov:1985np,Korchemsky:1987wg,Korchemsky:1988hd,
Korchemsky:1988si,Basso:2007wd}, in both Abelian and non-Abelian gauge
theories. I... |
2,121,713,845,991 | arxiv | \section{Introduction}
Arrays of Josephson junctions (JJ) in the presence of an external magnetic
field, are probably one of the best examples of physical systems in which
the ideas of competition between interactions (frustration), disorder
effects and complex (glassy) dynamics can be theoretically and experimentally... |
2,121,713,845,992 | arxiv |
\section{Introduction}
Generative AI (GenAI) is a class of machine learning (ML) algorithms that can learn from content such as text, images, and audio in order to generate new content. In contrast to discriminative ML algorithms, which learn decision boundaries, GenAI models produce artifacts as output, which can h... |
2,121,713,845,993 | arxiv | \section{Introduction}
{In a recent communication \citep{treumann2017} we used Poynting's theorem in electrodynamics in order to construct an experimentally accessible expression for the spectral energy density of the electromagnetic field in collisionless magnetic turbulence. That attempt turned out much simpler and t... |
2,121,713,845,994 | arxiv | \section{Introduction}
3D instance segmentation, the task of detecting object instances and their per-pixel segmentation mask, is a critical problem in computer vision. These input environments are often represented as point clouds. Traditional approaches to learning on point clouds relied on mapping the point cloud to... |
2,121,713,845,995 | arxiv | \section{Analysis of the streaking-assisted ionization}
It is assumed that the atom is subject to linearly polarized fields and the
momentum distribution of photoelectrons, $w (p) = | p | | M_p |^2$, is only
collected along the polarization direction. The amplitude of the direct
ionization with the strong field approx... |
2,121,713,845,996 | arxiv | \section{Introduction}
Revision histories gathered from various natural language domains like Wikipedia \cite{grundkiewicz2014wiked}, Wikihow \cite{faruqui2018wikiatomicedits} and student learner essays \cite{zhang2015annotation} have been studied widely in NLP. These corpora have been used for as varied tasks as lang... |
2,121,713,845,997 | arxiv | \section{Introduction}
Semileptonic (SL) decays of the lightest charmed baryon,
$\Lambda_c^+$, provide a stringent test for non-perturbative aspects
of the strong interaction theory. The $\Lambda^+_c\rightarrow
\Lambda \ell^+\nu_{\ell}$ ($\ell$ denotes lepton) decay is dominated by the Cabibbo-favored
transition $c\rig... |
2,121,713,845,998 | arxiv |
\section{Introduction}
In the past decade, several unexpected charmonium states, such as the $\cPXn$ and the Y(4260), have been discovered~\cite{Choi:2003ue,Aubert:2005rm} and then confirmed~\cite{Aubert:2004ns, Yuan:2007sj}
by the Belle and BaBar experiments.
The $\cPXn$ state has also been seen by hadron collider e... |
2,121,713,845,999 | arxiv | \section{\label{intro}}
\section{Introduction\label{sec:intro}}
Nitride-based semiconductor nanostructures are promising
materials due to their potential application in opto-electronic and
high-power/temperature electronic devices.~\cite{PoBo97} AlN, GaN
and InN and their ternary and quarternary alloys in principle ... |
2,121,713,846,000 | arxiv | \section{Introduction}
Galaxies in distant ($z\sim0.4$) clusters
differ from those in the nearby systems (e.g.
Butcher \& Oemler 1984; Dressler \& Gunn 1992). There is
a blueing of galaxy color with redshift,
also known as Butcher-Oemler effect (hereafter BO effect,
Butcher \& Oemler 1977, 1984).
At $z\sim0.4$ there ... |
2,121,713,846,001 | arxiv | \section{Introduction}
Generalized Langevin equations (GLEs) have recently re-emerged in the area of molecular modeling as a promising description of reduced-dimension coarse-grained variables.
In principle, GLEs can be derived using the Mori-Zwanzig projection formalism \cite{Mori65, Zwanzig73}.
Examples of such deri... |
2,121,713,846,002 | arxiv | \section{Introduction}\label{sec:intro}
Tracing the history of both galaxy star formation (Lilly et al. 1996; Madau et al. 1996;
Madau, Pozzetti, Dickinson 1998) and stellar mass assembly (Dickinson et al. 2003)
over cosmic time represent major challenges in modern cosmology. In particular,
it is still uncertain how... |
2,121,713,846,003 | arxiv | \section{Introduction}
Cold-atom quantum technology is increasingly being reimagined from research apparatus into practical devices operating in real-world environments. These precision measuring instruments provide significant improvement in performance over classical techniques in applications including timekeeping ... |
2,121,713,846,004 | arxiv | \section{Introduction}
\label{sec:intro}
Most of the mass of the observable Universe is contained in its protons and neutrons, collectively called nucleons.
However the origin of the nucleon mass is still largely not understood.
The Higgs mechanism provides a relatively modest contribution to the nucleon mass.
The mas... |
2,121,713,846,005 | arxiv | \section{\textbf{INTRODUCTION}}
The nineties were marked by two historical discoveries: the first planetary system around a star other than the Sun, namely a pulsar \citep{Wolszczan92} and the first Jupiter-mass companion to a solar-type star \citep{Mayor95}. Before that,
the development and application of planetary ... |
2,121,713,846,006 | arxiv | \section{Introduction}
The concept of translation-like actions was introduced by Whyte to solve a geometric version of the von Neumann conjecture \cite{whyte}. It serves as a geometric analogy of subgroup containment for finitely generated groups: if $H$ is a subgroup of a finitely generated group $G$, then the natura... |
2,121,713,846,007 | arxiv | \section{Introduction}
To meet the required demands and to support the potential use cases in the fifth and sixth generations of wireless networks, e.g. the Internet-of-everything and the tactile internet, key enabling wireless technologies, in particular, massive multiple-input multiple-output (mMIMO), cell-free mMIMO... |
2,121,713,846,008 | arxiv | \section{Introduction}
The gravitational deflection of light depends on both the luminous and
dark matter present in the deflecting object, causing it to be an
independent probe of the mass and possibly even the mass distribution of
the deflector, i.e. the gravitational lens. Good alignment between a
source, the l... |
2,121,713,846,009 | arxiv | \section{\bf{Introduction}}\label{sec:1}
It is wellknown that for a simply connected nilpotent Lie group and
more
generally for an exponential solvable Lie group $ G=\exp\g $, its dual
space $
\widehat G$ is homeomorphic to the space of co-adjoint orbits $ \g^*/G $
through
the Kirillov mapping (see \ci... |
2,121,713,846,010 | arxiv | \section{Introduction}
It was first suggested by \citet{Loomis1870} based on auroral observations that a sunspot cycle was lost in the 1790s in the original sunspot record by Wolf -- meaning that cycle 4, which normally would have lasted from 1784 to 1799, contained two cycles: cycle 4a lasting from 1784 to 1793 and cy... |
2,121,713,846,011 | arxiv | \section{Introduction}
\vspace{0.4cm}
Rotation curves (RCs) of spiral galaxies show no asymptotic Keplerian behavior and fail to match the distribution of the luminous matter. The favored explanation is the existence of an unknown unseen component, the Dark Matter (DM): the ``luminous'' components of galaxies su... |
2,121,713,846,012 | arxiv | \section{Introduction}
\label{intro}
Gamma Ray Bursts (GRBs) are intense flashes of $\gamma$--ray radiation
outshining all other sources in the gamma--ray sky. GRBs can be divided into (at
least) two classes based on their temporal and spectral properties: short and
long GRBs. Short GRBs have a typical duration of 0.... |
2,121,713,846,013 | arxiv | \section{Introduction}
Video has rapidly become one of the most common sources of visual information. Automatic tools for analyzing and understanding video contents are essential for the large-scale intelligent system. In particular, automatic video content summarization techniques, e.g.,~\citep{gygli2014creating,potap... |
2,121,713,846,014 | arxiv |
\section{Introduction}
Language modeling using Transformers~\citep{vaswani2017attention} has been hugely successful for applications like translation and text generation.
Models like GPT-2 are able to generate impressive news articles and stories given just an abstract~\citep{radford2019gpt}.
These models are usually... |
2,121,713,846,015 | arxiv |
\section{Invariants of modular embeddings and commensurability invariants} \label{sec:commensurability}
The {\em trace field} of a lattice $\Gamma \subset \mathrm{PU}(1,n)$ is defined
to be $E = \mathbb{Q}({\rm tr}({\rm Ad}(\gamma)), \gamma \in \Gamma)$, where $\rm Ad$ is
the adjoint representation. The trace field ... |
2,121,713,846,016 | arxiv | \section{Introduction}
Superconducting Josephson junction qubit is one of the most promising
candidates for implementing quantum computation \cite{Galindo}.
Single qubit coherent oscillations in superconducting qubits have been demonstrated
experimentally \cite{Nakamura, Yu, Chio} and furthermore two qubit coupling a... |
2,121,713,846,017 | arxiv | \section{Introduction}
Organic conductors provide a fruitful field to study phenomena owing to strong electron correlations,\cite{Lebed2008,Seo2004} such as metal-insulator transition, magnetic/charge ordering, and superconductivity. One of their features is that the intermolecular bonds are mainly formed by the van de... |
2,121,713,846,018 | arxiv |
\section{Introduction}
Since the seminal papers \cite{VolIsRough} and \cite{PricingRough}, rough volatility modeling has enjoyed a tremendous focus of interest by the academic community. In such setting, the log-volatility behaves similarly to a fractional Brownian motion with Hurst parameter $H<1/2$. For this reaso... |
2,121,713,846,019 | arxiv | \section{Basic Methods on Upsilon-4S Resonance}
Most of the data presented in the following are collected on the
upsilon-4S resonance, and some basic experimental techniques are briefly
described below.
The B meson pair production cross section on the upsilon-4S resonance is
roughly 1 nb; namely, an integrated lumino... |
2,121,713,846,020 | arxiv | \section{Introduction}
Measurements of flavor-changing neutral-current (FCNC)
processes in the quark sector put strong constraints on New
Physics (NP) at the TeV scale and provide a crucial guide for
model building. Generically, NP models can avoid existing
bounds by aligning the flavor structure with one of the quar... |
2,121,713,846,021 | arxiv | \section{Introduction}
An immersion $F$ from a two-dimensional manifold $M$ into $\RR^3$ is a self-shrinker if it satisfies
\begin{equation}
\label{ss}
\Delta_g F = - \frac{1}{2}F^{\perp},
\end{equation}
where $g$ is the metric on $M$ induced by the immersion, $\Delta_g$ is the Laplace-Beltrami operator, and $F... |
2,121,713,846,022 | arxiv | \section{Introduction}
There exist three types of field theoretical descriptions successfully working in their own areas: quantum mechanics, quantum field theory, and general relativity. However, problems arise, when one tries to establish bridges between these descriptions. There are well known difficulties in the ... |
2,121,713,846,023 | arxiv | \section{Introduction}
In 1977, Herbert Simon wrote \cite{simon1977}, p. 258:
\begin{quotation}
\noindent ``To a Platonic mind, everything in the world is connected to everything else---and perhaps it is. Everything is connected but some things are more connected than others.''
\end{quotation}
The point he is emphasiz... |
2,121,713,846,024 | arxiv | \section{Introduction}
Since its discovery and formulation in the quantum Hall systems \cite{topo1}, studies on the topological orders have brought many interesting new facets about the genuine quantum nature of many body ground states. The topological order is usually referred to coherent quantum order among the st... |
2,121,713,846,025 | arxiv | \section{Introduction}
Intrinsic distance between two points on the surface of a convex polyhedron is defined as the length of a shortest curve on the surface between these points.
Recall that the sum of angles at the tip of a convex polyhedral angle is less than $2\cdot\pi$;
this statement can be found in a school t... |
2,121,713,846,026 | arxiv | \section{}
\noindent{\large{\textbf{Introduction}}}\par
Magnetic skyrmions \cite{Bogdanov1994,tokura13} show great promises as information carriers in future magnetic memory, logic devices, and neuromorphic computing due to their nanoscale size and ultralow current-driven manipulation, achieved by spin transfer torque ... |
2,121,713,846,027 | arxiv | \section{Nature of the Uncertainty Quantification}
I am particularly interested in the nature of the uncertainty quantification provided over the forward model. Considering the ODE
\begin{equation*}
\frac{\textrm{d} u}{\textrm{d} t}(t) = f(t, u) \;,
\end{equation*}
we note that \cite{Skilling:1992fb} advocates constr... |
2,121,713,846,028 | arxiv | \section{Introduction}
\qquad The aim of this work is to present an improved and more general
technique related with NDIM (Negative Dimensional Integration Method) , \cit
{IRi}, \cite{CAn2}, \cite{CAn1}, \cite{ASu11}, \cite{ASu13}, \cite{ASu14},
which we have called Method of Brackets. This modification to NDIM wa... |
2,121,713,846,029 | arxiv | \section{A cycle class $cl_{\bullet}$}
Let $X$ be a smooth $n$-dimensional projective variety over an
algebraically closed field $k$ of characteristic 0. Fix an
auxiliary smooth projective variety $Y$ over
$k$ with the field of rational functions $K$.
Using the Poincar\'{e} duality
$H^{2q}_{dR/k}(X)={\rm Hom}_k(... |
2,121,713,846,030 | arxiv | \section{Introduction}
\label{intro}
In the study of high-speed compressible flows it is still hard to obtain quantitative flow properties by non-intrusive means. Flow visualization remains an important experimental tool (\citet{Mahesh2013}). The unsteady behavior of high speed flows requires high spatial and temporal ... |
2,121,713,846,031 | arxiv | \section{Introduction}
The Poisson distribution of order $k\,(\geq1)$ with parameter
$\la\,(>0)$ has probability mass function (pmf)
\begin{equation}\label{Pok}
f_{k}(x;\lambda)= e^{-k\lambda} \sum
\frac{\lambda^{x_{1}+\cdots+x_{k}}}{x_{1}!\cdots x_{k}!}, \ \
\mbox{for} \ \ x=0, 1, 2, \ldots,
\end{equation}
whe... |
2,121,713,846,032 | arxiv | \section{Introduction}
\label{sec:intro}
\subsection{The self-force driven evolution of binaries:\\
A very brief synopsis}
\label{sec:synopsis}
Our understanding of the two-body problem in general relativity has
advanced substantially in the past decade. Besides the celebrated
breakthroughs in numerical relativity {... |
2,121,713,846,033 | arxiv | \section{Introduction}
Let $(M,g,\mathcal F)$ be a foliated Riemannian manifold with a
foliation $\mathcal F$ and a bundle-like metric $g$ with respect to $\mathcal F$. A foliated Riemannian manifold is a Riemannian manifold with a Riemannian foliation, i.e., a foliation on a smooth manifold such that the normal b... |
2,121,713,846,034 | arxiv | \section{Introduction}
Ramsey Theory studies the presence of ordered substructures in large, arbitrarily ordered structures. For instance, the seminal Ramsey Theorem~\cite{R30} states that, for every integer $r$, every 2-coloring of the edges of $K_n$ contains a monochromatic $K_r$ whenever $n$ is sufficiently large.... |
2,121,713,846,035 | arxiv | \section{Introduction}
Recently the problem of constructing differential calculi
on the quantum
{\it special} linear group $SL_q(N)$ \cite{Fad,Dr} has attracted
considerable attention \cite{Wor1}-\cite{IS}. A peculiar attention was
paid to constructing bicovariant differential calculi on these quantum
groups \cite{Wor}... |
2,121,713,846,036 | arxiv | \section{Introduction}
Graphs and networks are prominent tools to model various kinds of data in almost every branch of science. Due to this, graph classification problems also have a crucial role in a wide range of applications from biology to social science. In many of these applications, the success of algorithms is... |
2,121,713,846,037 | arxiv | \section{Introduction}\label{sec:introduction}
In design and architecture, curved structures are aesthetically pleasing and functional, however, they are not always easy to produce.
The curved shape of the structure in Figure \ref{fig:pla_dep} was generated by deploying a planar grid of initially straight bu... |
2,121,713,846,038 | arxiv | \section{Introduction}
Let $\ensuremath{{\mathcal H}}$ be a real Hilbert space, let $A\colon\ensuremath{{\mathcal H}}\to 2^{\ensuremath{{\mathcal H}}}$ be a
set-valued operator, let
$\ensuremath{\text{\rm gra}\,} A=\menge{(x,u)\in\ensuremath{{\mathcal H}}\times\ensuremath{{\mathcal H}}}{u\in Ax}$ denote the graph of... |
2,121,713,846,039 | arxiv | \section{Introduction}
Mott insulators without any broken symmetries, commonly referred to as quantum spin-liquids (QSL), have been studied theoretically for more than four decades now. Starting with the original theoretical proposal for the resonating valence bond liquid by Anderson \cite{Anderson73}, much of the inte... |
2,121,713,846,040 | arxiv | \section{Introduction}
\begin{figure*}[t!]
\centering
\begin{tabular}{c c}
\multirow[c]{2}{*}[5.8cm]{\subcaptionbox{\label{fig:qual_setup}}{\includegraphics[width=0.49\textwidth]{Figures/qual_experiment_setup_2.jpg}}} & \subcaptionbox{\label{fig:raw}}{\includegraphics[width=0.49\textwidth]{Figures... |
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