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\section{Introduction}
The carbon monoxide (CO) is the second most abundant diatomic molecule (after H$_2$) of the Universe, and, hence, the detailed data on its spectral properties are indispensably required to solve many fundamental and practical problems concerning the CO molecule. The $a^3\Pi - X^1\Sigma^+$ Cameron... |
\section{Introduction}\label{sec1}\setcounter{equation}{0} We consider the \emph{ stochastic Burgers-Huxley equation} for $(x,t)\in\mathcal{O}\times(0,T)=(0,1)\times(0,T)$ with a random force as (see \cite{JS})
\begin{align}\label{1.1}
du(t)=\left(\nu\frac{\partial^2u(t)}{\partial x^2}-\alpha u(t)\frac{\partial u(t)... |
\section{Introduction}
Image down-scaling and compression techniques are widely used to meet the limits of hardware storage and data capacity, which sometimes sacrifice the visual effects as well as bringing troubles to visual detection and recognition. Compression artifact reduction (CAR)~\cite{shen1998review} and sin... |
\section{Introduction}
Counting microscopic degrees of freedom for extremal black holes in string
theory is a useful probe into aspects of quantum gravity \cite{Strominger:1996sh}.
For supersymmetric black holes, one should in principle be able identify the degrees of
freedom both from the macroscopic solution... |
\section{Introduction}
Trajectory prediction has become a major topic of research in computer vision for autonomous driving~\cite{lee2017desire, srikanth2019infer, alahi2016social, marchetti2020memnet, rhinehart2019precog, tang2019multiple, sadeghian2019sophie, choi2019drogon}. The task is of utmost importance, since ... |
\section{Introduction}
One of Rufus Bowen's many contributions to smooth ergodic theory is a construction often referred to as Bowen's eye. It is an example of a flow $\phi^t$ on $\mathbb{R}^2$ with two hyperbolic fixed points $\mathbf{p}$ and $\mathbf{q}$ such that one branch of the stable manifold of $\mat... |
\section{Introduction}
With advances in neural machine learning \cite{sutskever2014sequence,gehring2017convolutional,vaswani2017attention} and availability of the huge amount of human conversations on social media \cite{adiwardana2020towards}, building an open domain dialogue system with data-driven approaches has att... |
\section{Introduction}
Graph labeling was first introduced by Rosa in 1966 \cite{Rosa}. Since then, numerous types of labeling have been subject to extensive study including vertex coloring, graceful labeling, harmonious labeling, $k$-radio labeling, and more. For a survey of graph labeling, see Gallian \cite{Gallian}.... |
\section{Introduction}
By a \textit{semigroup}, we mean a non-empty set $S$ with an
associative binary operation, $(x,y)\mapsto xy$, from $S\times S\to
S$. An element $x$ of a semigroup $S$ is said to be \textit{regular}
if there exists an element $x'$ in $S$ with $xx'x=x$. If $x'$
satisfies the equation $x'xx'... |
\section{\label{sec:intro}Introduction}
The use of micromagnetics based on the Landau-Lifshitz-Gilbert (LLG) equations for the simulation of dynamic hysteretic magnetization-magnetic field (MH) loops at room temperature and at kHz frequencies relevant for magnetic hyperthermia applications offers a challenging... |
\section{Introduction}
The raw information map where a robot saves a representation of its sensed information
is essential to the robot's tasks such as planning, navigation, and obstacle avoidance.
However, because it consists of low-level information which is difficult for
humans to comprehend, it is not a suitable r... |
\section{Introduction}
Gaussian processes (GPs) \cite{Rasmussen} are flexible, interpretable, and powerful non-parametric statistical methods which provide accurate prediction with a low amount of uncertainty. They apply Bayes' theorem for inference, which allows them to estimate complex linear and non-linear structure... |
\section{Introduction}
Graphs are a flexible representation, widely used for representing diverse data and phenomena. In recent years, graph neural networks (GNNs), deep models that operate over graphs, have become the leading approach for learning on graph-structured data \citep... |
\section{Introduction}
Various approaches have been examined for reducing
the input complexity of data to be processed by
multilayer learning architectures. This is particularly
of interest for the processing of large, high-resolution
images by neural-inspired networks. Specifically, there
is need to reduce the effe... |
\section{Introduction}
In open-source projects, team composition and development process is transparent and traceable, which is one of the advantages of the open-source model~\cite{MidhaPalvia2012}. Understanding of patterns and characteristics of open-source projects, where---sometime many---developers with different ... |
\section{Introduction}
Human Action Recognition (HAR) is a very popular topic in computer vision. The popularity of this task is mainly due to its use in various real-world applications such as smart video surveillance, autonomous robots, virtual reality, sport video analysis and urban planning \cite{gaur2011string,su... |
\section{Statement of the Potential Broader Impact}
In this work, we study the problem of {\it imbalanced learning} (IL), which is a common problem related to machine learning and data mining.
Such a problem widely exists in many real-world application domains such as finance, security, biomedical engineering, in... |
\section{Introduction}
\large
\par The theory of strong interactions
states about the prediction of quark-hadron phase transition
under the condition of
extreme high nuclear density and very high temperature.
In the transition phenomena, matter consists of free quarks and gluons called
quark-gluon plasma (QGP)... |
\section{Introduction}\label{sec:intro}
The class of BCK-algebras was introduced in 1966 by Imai and Is\'{e}ki \cite{II66} as the algebraic semantics for a non-classical logic having only implication. This implicational calculus is evidently due to Tarski and Bernays, but Is\'{e}ki also credits Meredith in \cite{iseki... |
\section{Introduction}
\textit{Federated Learning (FL)} is proposed as a paradigm that enables distributed clients to collaboratively train a shared model while preserving data privacy \cite{mcmahan2017communication}. Specifically, in each round of federated learning, clients obtain the global model and update it on th... |
\subsection{Secure Broadcast Ranging Protocol}
\Cref{fig:appendix-protocol} represents our proposed secure broadcast ranging protocol.
\begin{figure*}[t]
\procedureblock{}{
\textbf{Initiator}~\initiator \> \< \textbf{Reflector}~\reflector_k
\pclb \pcintertext[dotted]{Start Synchronization session (opti... |
\section{Background}
We now present the preliminaries for understanding Vitis \cite{XilinxVitis:2020} and memory on FPGAs.
FPGA, with the arrival of the next golden decade of architecture, its application becomes more and more extensive such as AI and HPC\cite{zhang2017improving,turkington2006fpga,wei2017automated,z... |
\section{\@startsection {section}{1}{\z@}%
{-10pt \@plus -1ex \@minus -.2ex}{.5ex }{\normalfont\Large\bfseries\sectionfont}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%
{10pt\@plus 1ex \@minus.2ex}{-0.5ex \@plus.2ex}{\normalfont\large\bfseries\subsectionfont}}
\def\frontmatter@title@format{\titlefont\c... |
\section{The Problem}
Applications give an experiential realization to what is theoretically possible and illuminate computational issues that the theory may not have foreseen. In the following exposition, we describe a problem that was encountered in one mathematical area, that was resolved with the tools of another,... |
\section{Appendix}
\input{proofs}
\subsubsection*{Acknowledgments}
\vspace{-.5em}
Lizhen Lin would like to thank Dong Quan Nguyen for very helpful discussions. Lizhen Lin acknowledges the support from NSF grants IIS 1663870, DMS Career 1654579 and a DARPA grant N66001-17-1-4041. Bayan Saparbayeva was partially sup... |
\section{Introduction} In 1932 Neumann (\cite{N}) investigated subgroups $N^{*}$ of the homogenous modular group $SL(2, \mathbb{Z})$ which are defined by the condition $(N)$.
\begin{itemize}
\item[$(N)$]
For any ordered pair of relative prime integers $(a,c)$ $N^{*}$ contains exactly one matrix in which the first colum... |
\section{Introduction}
\label{intro}
National economies consist of interlinked regional economies that react differently to changing macroeconomic forces, government policies, imported materials prices, and technological innovation.
Thus, national business cycles (BCs) are an admixture of regional cycles fluctuating ... |
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