uuid int64 541B 3,299B | dataset stringclasses 1
value | text stringlengths 1 4.29M |
|---|---|---|
1,108,101,565,815 | arxiv | \subsection{Progress-Insensitive}
\label{app:pits}
We need a collection of lemmas on the type system, which we prove correct in
\paperTR{the extended version of our paper.}
{appendix~\ref{app:auxlemmas}.}
\begin{lemma}[Preserving Dependencies]
\label{app:lemma:paper:presdep}
The dependencies of progra... |
1,108,101,565,816 | arxiv |
\subsection{Choosing the scaling functions~$g(t)$ and~$b(t)$}
\label{sec:practical}
It follows from~\cref{thm:main} that \textsc{A-GP-UCB} achieves no-regret for any functions~$g(t)$ and~$b(t)$ that increase without bound and render~\cref{eq:thm:regret} sublinear in~$t$. Thus, the corresponding BO routine converges t... |
1,108,101,565,817 | arxiv | \section{#1}}
\newcommand{\newsubsection}[1]{\setcounter{equation}{0}
\setcounter{dfn}{0}
\subsection{#1}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newtheorem{dfn}{Definition}[section]
\newtheorem{thm}[dfn]{Theorem}
\newtheorem{lmma}[dfn]{Lemma}
\newtheorem{ppsn}[dfn]{Proposition}
\newtheorem{crlre... |
1,108,101,565,818 | arxiv |
\section{Introduction}
\label{sec:introduction}
Interface problems raise from various models that involve multiple materials with different chemical or physical properties. In these models, the interface geometry itself may involve certain dynamics, i.e., the whole or portion of the interface evolve. Let $\Omega\subse... |
1,108,101,565,819 | arxiv | \section{Introduction}
The fractional Hankel transform was introduced in \cite{Namias1980b} (see also \cite{Kerr1991}). It arises as fundamental tool in different areas of sciences, see e.g.
\cite{Krenk1982,Karp1994,SheppardLarkin1998,Bracewell1999,Uzun2015}. A quaternionic analogue has been investigated recently in... |
1,108,101,565,820 | arxiv | \section{Conclusions}
\label{sec:conclusion}
\begin{figure}[tbph]
\begin{subfigure}[tbph]{0.5\textwidth}
\includegraphics[width=\textwidth]{Figures/dx_compare.pdf}
\end{subfigure}
\begin{subfigure}[tbph]{0.5\textwidth}
\includegraphics[width=\textwidth]{Figures/df_compare.pdf}
\end{subf... |
1,108,101,565,821 | arxiv | \section{Introduction}
This paper is about the link between automorphic forms and infinite dimensional algebras. It is primarily an exposition of joint work \cite{HVEaccepted} of the author with R. Heluani, which specifically relates certain automorphic forms on the group $SL_2(\Z) \ltimes \Z^2$ called Jacobi form... |
1,108,101,565,822 | arxiv | \section{Introduction}
The idea of grammar-based compression is based on the fact that in many cases a word $w$ can be succinctly
represented by a context-free grammar that produces exactly $w$. Such a grammar is called a {\em straight-line
program} (SLP) for $w$. In the best case, one gets an SLP of size $O(\log n)$... |
1,108,101,565,823 | arxiv |
\section{Introduction}\label{sec:introduction}
Causal inference from observational data---that is, identifying cause and effect in data that was not collected through carefully controlled randomised trials---is a fundamental problem in both business and science~\cite{spirtes:00:book,pearl:09:book}.
A particularly int... |
1,108,101,565,824 | arxiv | \section{#1}\setcounter{equation}{0}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newtheorem{Thm}{Theorem}[section]
\newtheorem{Defi}[Thm]{Definition}
\newtheorem{Cor}[Thm]{Corollary}
\newtheorem{Lemma}[Thm]{Lemma}
\newtheorem{Prop}[Thm]{Proposition}
\newtheorem{Rem}[Thm]{Remark}
\newtheorem{Conj}[Thm]... |
1,108,101,565,825 | arxiv | \section{Introduction}
In this paper we characterize ${\rm PSL}_n\mathbb{R}$-Fuchsian representations and verify how Teichm\"uller spaces are embedded into Hitchin components.
Let $S$ be a compact hyperbolic oriented surface.
The ${\rm PSL}_n\mathbb{R}$-Hitchin components $H_n(S)$ of $S$ is a prefered component of the... |
1,108,101,565,826 | arxiv |
\section{Conclusion}
\vspace{-5pt}
\label{sec:summary and future work}
In this work, we address the challenge of vehicle localization and a propose a scalable approach for accurate and efficient visual localization geared for real time performance.
We first perform a large-scale analysis of GPS quality in urban are... |
1,108,101,565,827 | arxiv | \section{Introduction}
The goal of predicting pedestrian trajectories is to infer socially-acceptable paths based on previous steps while considering the social norms of other moving agents. Many earlier works~\cite{helbing1995social, 5459260, 5206641, yamaguchi2011you} on human trajectory prediction are based on deter... |
1,108,101,565,828 | arxiv | \section{Introduction}
Periods of $t$-modules play a central role in number theory in positive characteristic, and
questions about their algebraic independence are of major interest.
The most prominent period is the Carlitz period
\[ \tilde{\pi}=\lambda_\theta \theta \prod_{j \geq 1} (1 - \theta^{1-q^j})^{-1} \in K_\i... |
1,108,101,565,829 | arxiv | \section{Introduction}
Mobile edge computing (MEC) represents a promising technology to reduce the latency for 5G and beyond networks \cite{ Y_Mao, Zeng_VTM20}. It allows users to offload their computational intensive task to servers in close proximity, and thus, significantly enhancing their computation capacities and... |
1,108,101,565,830 | arxiv | \section{Introduction}
\label{sec:intro}
Despite massive efforts to improve the security of computer systems,
security breaches are only becoming more frequent and damaging,
as more sensitive data is processed in the cloud~\cite{malekos-smith:csis20:hidden-costs-cybercrime,ibm20:breach-cost-report}.
Current encryptio... |
1,108,101,565,831 | arxiv | \section{Introduction}
The Galton-Watson (GW) process is a basic stochastic model for the generation size for a population of reproducing particles, see \cite{AN}. Slightly modifying the framework of \cite{Be}, we define a GW process in terms of an infinite system of particles uniquely labeled by pairs $(x,t)\in\ma... |
1,108,101,565,832 | arxiv | \section{Introduction}
The representation theory of the de Sitter group, and also all the
questions concerning this group and the de Sitter spacetime, comes
in the forefront due the recent discoveries in modern cosmology. One
of the most important problem in this area is a construction of
quantum field theory in the de... |
1,108,101,565,833 | arxiv | \section{Introduction}
\subsection{Introduction} \label{intro}
A function $f :[0,1]^2 \rightarrow \mathbb{R}$ is
$(c,\alpha)$-mixed H\"older if
$$
|f(x^\prime,y) - f(x,y)| \le c |x^\prime - x|^\alpha, \qquad
|f(x,y^\prime) - f(x,y)| \le c |y^\prime - y|^\alpha,
$$
and
$$
|f(x^\prime,y^\prime) - f(x,y^\prime) - f(x^\pr... |
1,108,101,565,834 | arxiv | \section{Introduction}
In the growing world of machine learning and data analytics, scholars are finding new and innovative ways to solve real-world problems. One solution comes by way of an intersection between healthcare, sports statistics, and data science. Within the realm of Major League Baseball (MLB), pitchers a... |
1,108,101,565,835 | arxiv | \section{\uppercase{Polarization basis vectors} \label{sec:polarizationBasis}}
Assuming $k^A=(k^0,0,0,k^3)$, we define the polarization basis vectors for four-vectors as
\begin{align*}
&\epsilon^A_{(1^-,1)}=\frac{1}{\sqrt{{2}}}\left( \begin{array}{c} 0\\ 1\\ i\\ 0\\\end{array} \right), \;\;\;\epsilon^A_{(1^-,-1)... |
1,108,101,565,836 | arxiv | \section{Other Loose Ends}
\label{sec:other-loose-ends}
\subsection{Conjugates over the Positive Orthant}
\label{sec:conj-positive}
The following lemma justifies why it is enough to consider only
non-negative $\lambda$s for our setting.
\begin{lemma}\label{lem:pos-lambda}
Given a convex, non-decreasing, non-negativ... |
1,108,101,565,837 | arxiv | \section{Introduction}
\subsection{Motivation}
The classical Plateau problem concerns the existence and properties of a disc of smallest area bounded by a given Jordan curve.
In a Riemannian manifold $X$, a solution of the Plateau problem is obtained by a disc of minimal energy, where one minimizes over the set $\Lam... |
1,108,101,565,838 | arxiv | \section{Introduction}\label{section:introduction}
This paper studies two new facility location problems relevant to questions of
Internet traffic monitoring and content distribution.
These problems differ from their more standard predecessors in that
each customer must be served by two facilities rather than one.
In ... |
1,108,101,565,839 | arxiv | \section{Introduction}\label{sec:intro}
The last two decades have witnessed rapid advances in experimental demonstration and theoretical investigation of quantum control systems due to their promising applications in a wide range of areas such as quantum communication, quantum computing, and quantum metrology \cite{... |
1,108,101,565,840 | arxiv | \section{Introduction}
\label{sec:intro}
Visual Transformers (ViT)~\cite{dosovitskiy2020image} have been an ubiquitous backbone for visual representation learning, leading to many advances in image understanding~\cite{scalingVIT,pyramidVIT,segmenter}, multimodal tasks \cite{filip,akbari2021vatt,merlotreserve,flamingo}... |
1,108,101,565,841 | arxiv | \section{Background}
\subsection{Molecular Crystals}
Molecular crystals, ordered periodic arrays of molecules, are known to exhibit a wide range of quantum mechanical phenomena, including unconventional superconductivity, quantum criticality, frustrated anti-ferromagnetism,
and quantum spin liquid behaviour \cite{chai... |
1,108,101,565,842 | arxiv | \section{Introduction and main results}
The study of the multiple ergodic averages \begin{equation}\label{0}
\frac{1}{N} \sum_{n=1}^{N}f_1(T^{a_1(n)}x)\cdot ... \cdot f_k(T^{a_k(n)}x)
\end{equation}for general sequences $a_1(n),...,a_k(n)$ of integers, where $T$ is an invertible measure preserving map on a probabi... |
1,108,101,565,843 | arxiv | \section{Introduction}
X-ray dim isolated neutron stars (XDINs) form an isolated neutron star population among other young neutron star systems, namely anomalous X-ray pulsars (AXPs), soft gamma ray repeaters (SGRs), rotating radio transients (RRATs), high-B radio pulsars (HBRPs), and central compact objects (CCOs... |
1,108,101,565,844 | arxiv | \section{Introduction}
\label{sec:introduction}
Tensor network (TN) methods have been studied across physics,
mathematics, and computer science for their expressive power,
interpretability, and computational
efficiency~\cite{Kolda2009,Eisert2013,Vervliet2014,Cichocki2015,Sidiropoulos2016,Orus2019,Biamonte2019}. These
p... |
1,108,101,565,845 | arxiv |
\section{Conclusion}
\label{conclusion}
There are still many difficulties for large-vocabulary speech recognition under adverse conditions, but the fusion of acoustic and visual information can bring a significant benefit to these challenging and interesting tasks. In this paper, we propose a new architecture, the de... |
1,108,101,565,846 | arxiv | \section{Introduction}
Several recent studies have found that the oldest and most
massive galaxies at high redshift
have very small sizes
(e.g., {Trujillo} {et~al.} 2006; {Daddi} {et~al.} 2005; {Toft} {et~al.} 2007; {Zirm} {et~al.} 2007; {van Dokkum} {et~al.} 2008; {Cimatti} {et~al.} 2008; {van der Wel} {et~al.} 2008;... |
1,108,101,565,847 | arxiv |
\section{Mitigating catastrophic forgetting}
\label{section:method}
In \S\ref{section:challenge_wikilingua0}, we show that increasing model scale and decreasing tunable parameter capacity are both effective in improving \ssc{XGen} performance. Can we obtain further improvements by devising methods that explicitly t... |
1,108,101,565,848 | arxiv | \section{INTRODUCTION}
\par It has been long claimed \citep[for e.g.,][and earlier]{1993ApJ...405..767G} that coronal loops consist of bundles of thin strands, to scales below the current instrumental resolution. Today, that statement continues to remain as prevalent as ever. Coronal loops were first detected in coro... |
1,108,101,565,849 | arxiv | \section{Background}
Although it is common knowledge that stress can hurt our health, scientific results regarding this are fairly recent. The first studies attempting to show this connection between the psychological and the physical state were developed in the first half of the 20th century \cite{Cannon32, Selye... |
1,108,101,565,850 | arxiv | \section*{Acknowledgements}
The author would like to thank Mike Creutz for discussions related to his action.
|
1,108,101,565,851 | arxiv | \section{Introduction \label{introduction}}
The optical properties of a medium can be drastically modified by strong coherent interaction with a laser field, and one of the most prominent examples of the kind is electromagnetically induced transparency (EIT) \cite{fleischhauer2005electromagnetically}, which allows ligh... |
1,108,101,565,852 | arxiv | \section{Introduction}
Given a real number $\xi$, the irrationality exponent of $\xi$ is
defined as follows
$$
\mu(\xi):=\sup\left\{\mu\in\mathbb{R}\;:\;\left| \xi - \frac{p}{q}\right| <
q^{-\mu}\;\mbox{has i.m. solutions }\; p/q\in\mathbb{Q}\right\}.
$$
This is one of the most important approximational properties of ... |
1,108,101,565,853 | arxiv | \section{Introduction}
\begin{figure}[t]
\centering
\includegraphics[width=0.5\columnwidth]{./figures/asymmetry.png}
\caption{A pictorial depiction of triplet scalar $\Delta$ partial decay giving rise to common origin of asymmetries in the lepton and DM sectors.
\label{fig:asymm}}
\end{figure}
The existence of dark ... |
1,108,101,565,854 | arxiv | \section{Introduction}\label{sec1}
With the advance of genotyping techniques, high density SNP (single
nucleotide polymorphism) arrays are often used in current genetic
studies. In such situations, test statistics (e.g., LOD scores or
$p$-values) can be evaluated directly at each of the SNPs in order to
map the ... |
1,108,101,565,855 | arxiv | \section{Introduction}
Precise observation of the Cosmic Microwave Background (CMB), as
planned with the Planck space mission
\citep{bersanelli00, lamarre00, tauber04}, is
of the utmost importance for better understanding, and confronting
with precise observational data, the hot big bang model and its
theoretical pred... |
1,108,101,565,856 | arxiv | \section{Introduction}
Recent investigations have shown that a fourth generation is not ruled out by the
precision electroweak data if it is heavy with
masses in the few hundred GeV range
(For recent works see \cite{Kribs:2007nz,Hung:2007ak,Holdom,Novikov:2002tk,Dubicki:2003am,Murdock:2008rx,Cakir:2008su}
and for e... |
1,108,101,565,857 | arxiv | \section{Introduction}\label{sec:intro}
Roughly 75\% of all known exoplanets have been discovered via transit surveys, giving transiting planets an outsized influence on our ability to constrain both exoplanet demographics and planet formation models. In most cases, our best answers remain data-limited: the precision ... |
1,108,101,565,858 | arxiv | \section{Introduction} We prove that the chain operad
of small squares is formal. Together with the Deligne
conjecture about the action
of this operad on Hochschild cochains of an
associative algebra, this implies existence of a structure of a
homotopy Gerstenhaber algebra on Hochschild cochains.
This fact clarifi... |
1,108,101,565,859 | arxiv | \section{Introduction}
\subsection{Background and motivation}
Magnetic reconnection in plasmas plays an important role in converting magnetic energy to particle kinetic energy \cite{Sonnerup.1979,BurchandDrake.2009}. At the heart of magnetic reconnection is an electron diffusion region (EDR), where inflowing sheared ... |
1,108,101,565,860 | arxiv | \section{Hardware in context}\label{sec:intro}
Radio-frequency (RF) signal generators are devices designed to produce continuous and pulsed signals in the RF and microwave domains with defined and adjustable frequency, phase and amplitude. Often they provide one or several methods to modulate these properties in order ... |
1,108,101,565,861 | arxiv | \section{Introduction}
Computational materials and molecular modelling have proved to be an invaluable tool in predicting new materials and processes and interpreting experimental phenomena on the microscopic level.
The predictive performance of atomistic simulations strongly depends on the accuracy of the employed at... |
1,108,101,565,862 | arxiv | \section{Introduction} \label{sec:intro}
\subsection{The Radius Gap}
The \textit{Kepler} mission, the first dedicated space-based search for exoplanets, revolutionized our understanding of planet formation by detecting hundreds of super-Earth and sub-Neptune-sized planets \citep[e.g.,][]{batalha2014,thompson2017}. ... |
1,108,101,565,863 | arxiv | \section{Introduction}
The aim of this paper is to consider the general properties of gravitational
field that is generated by a fractal distribution of particles.
This problem is nowadays particularly relevant.
In fact, there is a general agreement that galaxy distribution exhibits
fractal behavior up to a certain ... |
1,108,101,565,864 | arxiv |
\section{Introduction}
Tilting theory is a collection of well established methods for studying equivalences between triangulated categories in homological algebra. Although it has many facets (see~\cite{HandbookTilting}), in its basic form \cite{Happel,Rickard} it struggles to answer the following question: Given two... |
1,108,101,565,865 | arxiv | \section{Introduction}
Rank-$k$ approximation is an important problem in data analysis.
Given a dataset represented as a matrix $A \subset \mathbb{R}^{n \times d}$, where the rows of the matrix represent the data points, the goal is to find a rank-$k$ matrix $\tilde{A}$ such that $\FN{A - \tilde{A}}$ is is not too lar... |
1,108,101,565,866 | arxiv | \section{More details on experimental setup}
The measurement apparatus is shown in Fig.~\ref{fig:setup}a. The Pockels cell of PC1 and the adjoining PBSs are used to filter the noise of excitation pulses in the temporal domain by rapidly switching the noise pulses to the orthogonal polarization and filtering with a PBS.... |
1,108,101,565,867 | arxiv | \section{Introduction}
\subsection{The Casson-Rivin program and its extension}
\medskip
There are several ways to construct hyperbolic metrics on an
ideally triangulated 3-manifold with torus boundary. The most
prominent ones are Thurston's algebraic gluing equations and
Casson-Rivin's angle structure. In the ang... |
1,108,101,565,868 | arxiv |
\section{Introduction}
For many years there have been hints that the number of muons in ultrahigh energy cosmic ray (UHECR) air showers is larger than predicted by hadronic interaction models, e.g., \cite{HiRes-MIAmuons}. Most recently, the Pierre Auger Observatory~\cite{augerNIM15} compared the muon number in high... |
1,108,101,565,869 | arxiv | \section{Introduction}
\label{sect:intro}
Over the last 8 billion years
a large fraction of low-mass (M$_{\star}\la$\,10$^{9}$\,M$_{\odot}$)
galaxies are still seen rapidly assembling most of thei... |
1,108,101,565,870 | arxiv | \section{Introduction}
Driver inattention is a dangerous phenomenon that can arise because of various reasons: distractions, drowsiness due to fatigue, less reaction time due to speeding, and intoxication. The consequences of inattentive driving can severely affect the driver's safety even under normal road conditions... |
1,108,101,565,871 | arxiv | \section*{\sc introduction}
\indent \indent Currently nearly 400 000 variable stars are listed in the Variable Stars Index (VSX, {\it http://aavso.org/vsx}). In the General Catalogue of Variable Stars (Samus, et al., 2007-2016 \cite{samus}), the on-line version of which is available at {\it http://www.sai.msu.su/gcvs/g... |
1,108,101,565,872 | arxiv | \section{Introduction}
\subsection{Backgrounds for this series}
\subsubsection{$\mu$-cscK metric}
Let $X$ be a compact K\"ahler manifold and $L$ be a K\"ahler class of an ample $\mathbb{Q}$-line bundle.
(In this first article, $X$ is smooth.
We may take transcendental $L$ in many arguments, but we assume rationali... |
1,108,101,565,873 | arxiv | \section{Introduction}
\label{sec:intro}
A wide range of algorithms in computer science build on the ability to
check language equivalence or inclusion of finite automata. In
model-checking for instance, one can build an automaton for a formula
and an automaton for a model, and then check that the latter is
included i... |
1,108,101,565,874 | arxiv | \section{Introduction and summary of results}
\label{sec:intro}
Supersymmetry is an efficient tool for understanding the microscopic structure of black holes, as exemplified by the wealth of developments and precision tests achieved in the last two decades, building on the original constructions of \cite{Strominger:19... |
1,108,101,565,875 | arxiv |
\section{Introduction}%
\label{sec:introduction}
Image steganography, aiming at delivering a modified cover image to secretly transfer hidden information inside with little awareness of the third-party supervision, is a classical computer vision and cryptography problem. Traditional image steganography algorithms go ... |
1,108,101,565,876 | arxiv | \section{\uppercase{#1}}}
\def\correct#1#2{{#2}}
\def\Classification#1{\\[.2cm] Classification numbers:~{#1}.}
\newcommand{km s$^{-1}$}{km s$^{-1}$}
\newcommand{$^\circ$}{$^\circ$}
\newcommand{\del}[1]{{{\sout{\,#1}}}}
\newcommand{\add}[1]{{{\textbf{\,#1}}}}
\begin{document}
\Year{2020}
\Page{1}\Endpage{12}
\titl... |
1,108,101,565,877 | arxiv | \section{Simulation}
\usepackage{authblk}
\usepackage{booktabs}
\usepackage{nicefrac}
\usepackage{enumitem}
\usepackage{bbding}
\usepackage{soul}
\usepackage[numbers]{natbib}
\usepackage{nicefrac}
\usepackage{placeins}
\usepackage{xcolor}
\usepackage{siunitx}
\usepackage{tabularx,booktabs}
\usepackage{xr-hyper}
\def... |
1,108,101,565,878 | arxiv | \section{Introduction}
In the last few years the area of quantum computation has
gained much momentum (for a review see, e.g., ref. \cite{divincenzo}).
The power of quantum computers is mainly due to the possibility
of working with a superposition of $|0>$ and $|1>$ qubits with
coefficients being complex numbers $\al... |
1,108,101,565,879 | arxiv | \section{\protect\bigskip}
\section{Introduction}
In the recent years, several notable progresses have been made in the
research and characterization of new closed-form exactly solvable systems in
quantum mechanics \cit
{gomez,gomez2,gomez3,gomez4,gomez5,gomez6,quesne1,quesne,quesne2,quesne3,odake,sasaki,ho,oda... |
1,108,101,565,880 | arxiv | \section{INTRODUCTION}
Control and planning are two key ingredients of autonomous robotic applications. Planning algorithms, in a broad sense, provide the agents with feasible trajectories given the constraints. On the other hand, control algorithms compute and execute the instantaneous low-level control signals to fo... |
1,108,101,565,881 | arxiv | \subsection{Results}
Equip the sphere $S^2$ with its standard symplectic form $\omega$ scaled so that $\int_{S^2} \omega =2$. Let $L_{1,1}$ be the monotone Clifford torus
(product of equators) in $(S^2 \times S^2, \pi_1^*\omega + \pi_2^*\omega).$ Our first result is the following.
\begin{theorem}\label{one} The Cliff... |
1,108,101,565,882 | arxiv | \section{Runway Image Analysis} \label{sec:analysis}
Before introducing the design of our system framework, we first conduct a brief analysis on the runway show images we collected to show the rich information of fashion designs we can infer from the images using deep learning neural network models. We used 32 years o... |
1,108,101,565,883 | arxiv | \section{Introduction}
The need to enlarge or revise General Relativity (GR) arises from some open problems in modern physics at both ultraviolet and infrared scales. For instance, at astrophysical and cosmological scales the predictions of GR agree with observations only after the theoretical assumption regarding the ... |
1,108,101,565,884 | arxiv | \section{Introduction}
Despite the impressive and unquestioned empirical success of quantum theory,
the
physical meaning of its basic object, the wave function, is still
controversial.
The standard---or Copenhagen---interpretation of quantum theory asserts
that the wave function embodies the most complete description ... |
1,108,101,565,885 | arxiv | \section*{Keywords}
\section{Introduction}
\paragraph*{}An intriguing aspect of populations of coupled neurons is their ability to generate persistent activity~\cite{Major2004}. Such sustained activity is found in diverse brain areas~\cite{Schultz2003, Komura2001, Prut1999, Moschovakis1997, Kojima1996} and species~\ci... |
1,108,101,565,886 | arxiv | \section*{Abstract}
\setcounter{page}{1}
Consider the Fourier expansions of two elements of a given space of modular
forms. How many leading coefficients must agree in order to guarantee that the
two expansions are the same? Sturm~\cite{Sturm} gave an upper bound for
modular forms of a given weight and level. This was... |
1,108,101,565,887 | arxiv | \section{Introduction}
Trajectory tracking of nonlinear systems is a classic problem in control theory. Optimal control, as one of the approaches to solve this problem, has attracted some efforts throughout past several decades. The interested reader can refer to \cite{bryson1975applied,werbos2004adp,lewis2009reinforce... |
1,108,101,565,888 | arxiv | \section{Introduction}
Most of the matter in the universe exists in the plasma state and plasma also
plays an important role in gas dynamics in astrophysics. When
magnetic field are present, the dynamics of an electrically conducting plasma
is sensitive to magnetic forces; as a result,
magnetohydrodynamics(MHD) is ... |
1,108,101,565,889 | arxiv | \section{Introduction}
\label{sec:introduction}
In information technology, random number generators (RNGs) refer in general to devices that output numbers distributed in a certain range uniformly.
If one wishes to use them for information security purposes in particular, their outputs must be secret \cite{Shannon1949}... |
1,108,101,565,890 | arxiv | \section{Introduction}
\label{sec:intro}
Let $\A{B}$ be a C*-algebra and $\A{I}$ a (norm-closed, two-sided, $*$-closed) ideal in $\A{B}$; $\A{I}$ is called an \emph{essential} ideal in $\A{B}$ if for any other ideal $\A{J}$ in $\A{B}$, $\A{I}\cap\A{J} = 0$ implies $\A{J} = 0$. Given a C*-algebra $\A{A}$, the \emph{mu... |
1,108,101,565,891 | arxiv | \section{Introduction}
\label{intro}
Let $(\Omega,\mathscr{A},\mu)$ be a measure space, $P$ be a finite index set and $\{A_p\}_{p\in P}\subseteq \mathscr{A}$ be a family of measurable sets. The formula
\begin{equation}
\mu\left(\bigcap_{p\in P}{\overline{A}_p}\right)=\sum_{I\subseteq P}(-1)^{|I|}\mu\left(\bigcap_{i\i... |
1,108,101,565,892 | arxiv | \section{Introduction}
Because of their extreme luminosity in $\gamma$-rays, gamma ray bursts (GRBs) are a unique probe to high energy
regimes where exotic physics is likely to manifest. A fraction of GRBs have been associated with the collapse of
massive stars via the association of supernova signatures observed wit... |
1,108,101,565,893 | arxiv | \section{Introduction}
Understanding the relation between structure and dynamics in glassy systems has sparked extensive discussion over the last few decades\cite{cavagna2009supercooled,berthier2011theoretical,royall2015role,tanaka2019revealing}. While cooling or compressing a glassy system, we typically observe little... |
1,108,101,565,894 | arxiv | \section{Introduction}
A blockchain is an append-only and immutable distributed database or ledger that records a time-sequenced history of transactions. One key aspect of the blockchain protocol is the consensus algorithm which enables agreement among a network of \emph{nodes} or \emph{processors} on the current stat... |
1,108,101,565,895 | arxiv | \section{Introduction}
The Koszul property for graded associative algebras \cite{priddy}
has been generalized in several directions, including algebras
with defining relations in just one degree ($d$-Koszul algebras
\cite{berger}) and algebras with defining relations in multiple
degrees ($\mathcal{K}_2$ algebras \cit... |
1,108,101,565,896 | arxiv | \section{Introduction}
Discriminative models in machine learning, like neural networks, have achieved impressive performance in a variety of applications. Models in this class, however, suffer from the problem of overgeneralization, whereby the whole input space is partitioned between the set of target classes specif... |
1,108,101,565,897 | arxiv | \section{Introduction}
Complex completely integrable Hamiltonian systems can be typically constructed starting from a locus $\mathcal{M}$ in the moduli space $\mathrm{Bun}_G(\Sigma)$ of holomorphic $G$-bundles or sheaves of certain type on a complex holomorphic symplectic surface $\Sigma$ with a structure of Lagrangia... |
1,108,101,565,898 | arxiv | \section{Introduction}
Since kinetic equations are not first-principle physical equations, rather they often arise from mean field approximations of particle systems, hence there are inevitably modeling errors due to
incomplete knowledge of the interaction mechanism, imprecise measurement of the initial and boundary d... |
1,108,101,565,899 | arxiv | \section{Introduction}
Traversable wormholes are solutions to the Einstein field equation that violate the classical energy conditions and are primarily useful as ``gedanken-experiments'' and as a theoretician's probe of the foundations of General Relativity (GR). They are obtained by solving the Einstein field equati... |
1,108,101,565,900 | arxiv | \section{Introduction}
Probability answer set programming \cite{Saad_NHPP,Saad_EHPP,Saad_DHPP} is a declarative programming framework which aims to solve hard search problems in probability environments, and shown effective for probability knowledge representation and probability reasoning applications. It has been sh... |
1,108,101,565,901 | arxiv | \section{Introduction}
The main challenge in Speech Emotion Recognition (SER) is to learn utterance-level representations from frame-level features, which starts with learning expressive frame-level representations.
Previous works \citep{zadeh2017tensor, zadeh2018memory, zhao2019attention} mainly used LSTM \citep{hoch... |
1,108,101,565,902 | arxiv | \subsubsection*{\bibname}}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{positioning,fit,calc, decorations, arrows, shapes, shapes.geometric}
\usetikzlibrary{cd}
\tikzset{AmpRep/.style={ampersand replacement=\&}}
\tikzset{center base/.style={baseline={([yshift=-.8ex]current ... |
1,108,101,565,903 | arxiv | \section{Introduction}
Understanding how the hyperons undergo changes in nuclear matter is a
very important issue in contemporary nuclear physics. In particular,
it is of great interest to see how the hyperons are related to
in-medium kaon properties at low densities and
how they can be changed in higher densities that... |
1,108,101,565,904 | arxiv | \section{Introduction}
Classical deep inelastic $lH\,\,\to\,\,l' X$ scattering experiments deepened considerably our knowledge of nucleon structure. Measuring the momentum of the outgoing lepton $l'$ we learn about the distribution of partons inside the nucleon. In a reference frame where the nucleon moves (infinitely... |
1,108,101,565,905 | arxiv | \section{Introduction}
\noindent
The Jacobi variety of an algebraic curve of genus $g$
plays a central role in algebraic geometry. Explicit descriptions
of the group law play a less important role in the history of the
subject.
With the development of cryptography
algorithms arose for the group law. In 1987 D.G. Canto... |
1,108,101,565,906 | arxiv | \section{Introduction}
Modern visual SLAM methods achieve remarkable performance when evaluated on suitable high-quality data~\cite{fuentes2015visual}. However, in the context of downstream tasks, such as indoor robot navigation, a number of difficulties remain~\citep{cadena2016past, mishkin2019benchmarking, chen2020s... |
1,108,101,565,907 | arxiv | \section{Introduction}\label{intro}
Antiferromagnets exhibiting a linear magnetoelectric effect \cite{Landau} are of great interest for applications aiming to achieve electric control of magnetism. \cite{Fiebig,Borisov,Binek,Bibes,He} In such materials there is a term $- \mathbf{E}\hat\alpha\mathbf{H}$ in the free ene... |
1,108,101,565,908 | arxiv | \section{Introduction}
\label{sec:intro}
Until fairly recently, SGRBs were known predominantly as bursts of
$\gamma$-rays, and largely devoid of observable traces at lower
energies. The launch and successful operation of the {\it Swift}
satellite has now enabled the detection and localization of X-ray
afterglows from s... |
1,108,101,565,909 | arxiv | \section{Introduction}
\label{intro}
The study of the star formation process and the origin of stellar initial mass function (IMF),
defined as the distribution of stellar masses at the time of birth, are key issues in
astrophysics. Since majority of stars tend to form in clusters or groups, young star
clusters... |
1,108,101,565,910 | arxiv | \section{Introduction}
\label{sec:intro}
\subsection{Bridgeland stability conditions on threefolds}
\label{sec:intro-stability}
Motivated by Douglas's work on $\Pi$-stability for D-branes on Calabi-Yau threefolds (see \cite{Dou}), Bridgeland introduced the notion of stability conditions on triangulated categories (see ... |
1,108,101,565,911 | arxiv | \section{Introduction}
\input{sec-intro.tex}
\section{Related Work}
\input{sec-related.tex}
\section{Models}
\input{sec-models.tex}
\section{Experiments}
\input{sec-exps.tex}
\section{Conclusions and Further Work}
\input{sec-conc.tex}
\section*{Acknowledgments}
This research was supported in part by DFG grant RI-2... |
1,108,101,565,912 | arxiv | \section{Introduction}
Leptoquarks are hypothetical particles that couple both to leptons and quarks and appear in several extensions of the Standard Model (SM) \cite{Carpentier:2010ue,Buchmuller:1986zs,Dorsner:2017ufx,Leurer:1993ap}. They are color triplets and were initially predicted in the Pati-Salam model \cite{P... |
1,108,101,565,913 | arxiv | \section{Introduction}
A sequential generation of patterns by a system of oscillators is motivated by central pattern generators of biological neural networks \cite{Hooper, brocard}. Central pattern generators usually are considered in the context of neuroscience as an explanation of how nervous systems produce move... |
1,108,101,565,914 | arxiv | \section{Introduction}
In the recent survey \cite{M} on hyperbolic $4$--manifolds, Martelli asks whether
one can find a cusped hyperbolic $4$--manifold with non--vanishing signature (see \cite[Section 4]{M} for other open questions).
The main purpose of this note is to prove the following:
\begin{thm} \label{thm:sign... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.