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\section{Introduction}
Star-forming regions in the Galaxy are distributed in a complex web of filaments that resemble a highly hierarchical network \cite[e.g.][]{2018A&A...610A..77H, 2010A&A...518L.100M, 2010A&A...518L.102A}. While open clusters are typically found in the densest parts of the structure, nearly 90\%... |
\section{Introduction}
\label{sec:introduction}
The cytoplasmic membrane separates the living cell from its extra-cellular surroundings,
while other intra-cellular membranes compartmentalize cellular organelles.
Biomembranes are constructed from two monolayers (leaflets) in a back-to-back arrangement, and are in gene... |
\section{Introduction}
Deep visuomotor policies that map from pixels to actions end-to-end can represent complex manipulation skills \cite{levine_finn_2016}, but have shown to be sensitive to the choice of action space \cite{martin2019iros} -- e.g., Cartesian end effector actions (i.e. task space \cite{berenson2011tas... |
\section{Introduction}
\label{sec:introduction}
Recent large surveys have revealed dozens of stellar streams in the halo of the Milky Way (MW),
which are one-dimensional substructures of halo stars
resulting from disruption of merging stellar systems, such as dwarf galaxies or globular clusters (GCs) \citep{Malhan2... |
\section{Introduction}
Quantum interference is one of the most vivid illustrations of the wave nature of quantum mechanical systems. It shows up whenever multiple paths of different phases or multiple energy levels are present, from double slit experiments and weak localization to Landau-Zener interference. Quantum ... |
\section{Introduction}
The \ac{iot} provides a number of benefits,
to consumers as well as business organisations.
Flexibility and ease of use,
coupled with low management overhead and cost make it a desirable concept.
Smart cities,
for example,
can benefit from \ac{iot} solutions~\cite{formisano2015advantages},
as wel... |
\section{Introduction}
This work is concerned with the numerical resolution of the stationary Dirac equation with periodic coefficients. The Dirac equation is historically associated with relativistic quantum mechanics, and is central in condensed matter physics in the study of graphene, topological insulators, and Wey... |
\section{Introduction}
Topological data analysis (TDA) has been used in music analysis recently based on persistent homology \cite{Bigo,Bergomi,Bergomithesis}. Persistent homology is an efficient concept for music analysis as it captures the cyclic structures of data \cite{ZC2005,Cohen,EHarer}.
In \cite{TPJ}, TDA was... |
\section*{Author Biographies}
\begingroup
\setlength\intextsep{0pt}
\begin{minipage}[t][6.3cm][t]{1.0\textwidth}
\begin{wrapfigure}{L}{0.25\textwidth}
\includegraphics[width=0.25\textwidth]{john_smith.eps}
\end{wrapfigure}
\noindent
{\bfseries John Smith} received his BSc (Mathematics) in 2000 fro... |
\@startsection{section}{1}{\z@}{3.5ex plus 1ex minus .2ex}{2.3ex plus .2ex}{\large\bf}{\@startsection{section}{1}{\z@}{3.5ex plus 1ex minus .2ex}{2.3ex plus .2ex}{\large\bf}}
\defAppendix \Alph{section}{\arabic{section}}
\def\Alph{section}.\arabic{subsection}{\arabic{section}.\arabic{subsection}}
\def\arabic{subsubs... |
\section{Introduction}
In recent years, many explanations methods have been developed for explaining machine learning models, with a strong focus on local analysis, i.e., generating explanations for individual prediction (see \citep{molnar2022} for a survey). Among this plethora of methods, one of the most prominent a... |
\section{1. Introduction}
Deep learning is developing rapidly in many areas of Natural Language Understanding. While the deep learning requires a large amount of data to ensure the generalization of the model. For example, in the famous pre-trained language model ''BERT'' \cite{devlin-etal-2019-bert} where Google provi... |
\section{Introduction}
The phenomenon of Brillouin scattering, whereby an acoustic field mediates
transitions between optical modes in an optical
waveguide~\cite{Brillouin1922,Boyd2003,Agrawal2012}, has been the focus of
intense research interest in recent years, driven by a suite of key
applications in nanophoto... |
\section{Introduction}
\label{sec:intro}
Despite the immense popularity and availability of online video content via outlets such as Youtube and Facebook,
most work on object detection
focuses on static images.
Given the breakthroughs of deep convolutional neural networks
for detecting objects in static images,
the... |
\section{Introduction}
Recently, it has been very popular to utilize cloud servers to carry out machine learning algorithms instead of using local servers. However, since cloud servers are semi-trusted, private data, such as personal information and medical records, may be revealed in cloud computing. For the reason, p... |
\section{Introduction}
Open Source Software (OSS) has become ubiquitous and provides developers with a free-to-use platform for open public collaboration. With project developers spread across the world, OSS projects bring in diverse perspectives which are important for the success and sustainability of a project. In ... |
\section{\@startsection{section}{2}%
{\z@}{.5\linespacing\@plus.7\linespacing}{.5em}%
{\normalfont\bfseries\centering}}
\def\@secnumfont{\bfseries}
\makeatother
\theoremstyle{definition}
\newtheorem{example}[theorem]{\indent Example}
\newtheorem{definition}[theorem]{\indent Definition}
\theoremstyle{remark}
... |
\section{Introduction}
Ultra-reliable and low-latency communication (URLLC) is one of the generic applications required to be covered in the fifth-generation (5G) \cite{durisi2016toward,bennis2018ultrareliable,zhang2021ris}.
As a result, it has been attracted significant interests since it enables several innovative ... |
\section{INTRODUCTION}
In the rapidly growing field of quantum science and technologies, the quest for new reliable and effective techniques to manipulate systems at the quantum scale is of paramount importance, and control engineers are actively contributing to this effort (see e.g. \cite{altafini-tutorial} and refe... |
\section{Introduction}
\begin{paragraph}\noindent
Let $\mathfrak{a}$ be an ideal of a commutative unital ring $A$. There are two additive endo functors on the category of $A$-modules called the $\mathfrak{a}$-torsion functor which is given by $\Gamma_{ \mathfrak{a}}(-):=\underset{k}\varinjlim ~\text{Hom}_{A}(A/\math... |
\section{Introduction}
Quantum spin liquids (QSLs) represent a novel state of matter in which spins are highly entangled, but do not order nor freeze even in the zero-temperature limit~\cite{Anderson1973153,nature464_199}. Such a state does not involve any spontaneous symmetry breaking, which is beyond Landau's paradi... |
\section{Conclusion}
\label{sec:conclusion}
We have described \sys, a system for proving equivalence of SQL
rewrite rules. In support of \sys, we defined a formal language \sem,
following closely SQL's syntax. Our semantics extends that of SQL
from finite relations to infinite relations, and uses univalent types
fr... |
\section{Introduction}\label{sec:introduction}
Following the pioneering work of Shannon on information theory, Kullback and Leibler defined a divergence of two probability measures $P$ and $Q$ \cite{kullback-leibler-1951} \[D_{KL}(P||Q)= \sum_{x} P(x) \log \frac{P(x)}{Q(x)} \text{ with the convention } 0 \cdot \infty... |
\section{Introduction\label{sec:intro}}
The Drell-Yan (DY) process with pions and nucleons provides
important information on the structure of pion and nucleon.
The DY differential cross section in the region of low transverse
momentum, $q_T$, of the produced lepton anti-lepton pair is
subject to the transverse momen... |
\section{Introduction}
Level design is a core feature of what defines a video game. When constructed correctly, it is a main determinant of player experience. From the designer's perspective, level design can be either a tedious, but necessary step in the game's development or a creatively freeing process - sometimes ... |
\section{Introduction}
In the AdS/CFT correspondence, where a precise non-perturbative definition of quantum gravity exists \cite{Maldacena:1997re,Witten:1998qj}, one of the most basic objects is the bulk-to-boundary map $V$ in the large $N$ and large t'Hooft coupling limit \cite{Balasubramanian:1998sn,Banks:1998dd,B... |
\section{Introduction}
A popular version of the third law of thermodynamics is that the entropy density of a physical system tends to zero in the $T \to 0$ limit\cite{mandl}. However, there is a class of theoretical models that violate this law\cite{fowler33,pauling,nagle66,lieb67,chow87,bramwell01,castelnovo08}:\ mo... |
\section{Introduction\label{sec:intro}}
In the United States, bladder cancer is the fourth and ninth most
widespread cancer among males and females, respectively, whereas in
Europe, approximately 50,000 people die from this disease each year
\cite{Alcaraz:2007}. Due to the high recurrence rate of $50\%$,
lifetime monit... |
\section{Introduction}
The Aubry-Andr\' e-Harper (AAH) model has been extensively used as a quasiperiodic model to theoretically study the phase transition between extended, critical and localized phases \cite{Harper, Aubry, Hiramoto1, Ostlund, Kohmoto1, Kohmoto2, Thouless, Hiramoto2, Geisel, Han, Chang, Takada, Liu, ... |
\section{Introduction} \label{sec:intro}
Active galactic nuclei (AGN) are amongst the most luminous objects
(L = 10$^{42}$ $-$ 10$^{46}$ erg s$^{-1}$; \citealt{1999PNAS...96.4749F})
in the Universe that emit radiation over a wide range of wavelengths. They are believed to be powered by
accretion of matter onto SMBH (... |
\subsection{GEMM vs SpDM}\label{subsection:gemm_vs_spdm}
A naive method to solve SpDM is directly using high-performance GEMM libraries, such as cuBLAS, if the sparsity of matrix A is not very high. High-performance GEMM libraries focus on improving the computational throughput of GPUs. For example, cuBLAS can achieve... |
\section{Results and Discussion}
{ Consider the optical response of a symmetric quadrumer when it is excited by a plane wave, whose propagation direction and electric field polarization lie in the plane of the quadrumer ($s$-polarization), as shown in Fig.~\ref{fig:schematic}a. }
\begin{figure}[!h]
\centering
\center... |
\section{Introduction}
The Sun is a magnetically active star, filling the interplanetary space with a stream of charged particles called the solar wind \citep[see e.g. a recent review by][]{Verscharen2019}. The solar wind properties are far from being homogeneous, with strong variations in temperature, density, or int... |
\section{Introduction}
The solar corona is filled with dynamic magnetized plasma, and hosts a variety of disturbances/waves that can be driven by all motions of the ubiquitous plasma. One of the most spectacular waves is the extreme ultraviolet (EUV) wave that appears as the traveling coronal disturbance from its erupt... |
\section{Introduction}\label{sec:intro}
Photometric redshift estimates (photo-$z$s) represent a fundamental ingredient in studies of both galaxy and active galactic nuclei (AGN) evolution, and in an increasing number of cosmological experiments.
Broadly, methods of estimating photo-$z$s fall into two categories: templa... |
\section{Introduction}
\label{sec:intro}
The discovery of a light Higgs boson~\cite{higgs,discovery} has opened
a major new avenue in experimental and theoretical particle physics:
comprehensive tests of a possible non-minimal fundamental scalar
sector, for which there exists a plethora of motivations. While there
ha... |
\section{Introduction}
Observations have established the presence of magnetic field of various magnitudes and on
various spatial scales in our universe. Galaxies such as Milky Wave contain regular
magnetic fields of the order of $\mu$G, while coherent fields of the order of $100~\mu$G
are detected in distant gal... |
\section{Introduction} \label{sec:intro}
The production of hadrons and jets at a future Electron Ion Collider (EIC) will play a central role in understanding the structure of the protons and nuclei which comprise the visible matter in the universe. Measurements of inclusive jet and hadron production with transversely... |
\section{Introduction}
Our aim in this paper is to explain the origin of the problems that
have been noticed \cite{MeTi2019} when using Gauss-Radau quadrature
upper bounds of the $A$-norm of the error in the Conjugate Gradient
(CG) algorithm for solving linear systems $Ax=b$ with a symmetric
positive definite matrix o... |
\section{Introduction}
Recent years have seen an explosion of interest in so-called moir\'e materials \cite{andrei2021marvels,he2021moire,macdonald2019bilayer,zeller2014possible,kennes2021moire}. These are materials in which two dimensional crystals are stacked in such a way that their lattices interfere to form moir\'... |
\section{Introduction}
The thermodynamic properties of hydrogen and helium gases enter as a basic and key ingredient in the study of the structure and evolution of dense astrophysical bodies like stars, brown dwarfs and giant planets, for these objects are mostly made of a mixture of H and He. Many works have been per... |
\section{Introduction}
The classical Kida's formula relates the $\la$-invariants of CM-extensions of cyclotomic $\Zp$-extensions of number field (see \cite{Ki}; also see \cite{Iw}). An analogue of this formula for Selmer groups of elliptic curves was later discovered by Hachimori-Matsuno \cite{HM}. Subsequently, thi... |
\section{Introduction}
There are some techniques that have been used to recover the losses of entanglement
and protect it from decoherence. Among of these techniques is the
quantum purification
\cite{Bennt,Deutsch,Metwally2002,Metwally2006}. Moreno et.
al.,\cite{Moreno} showed that, it is possible to improv... |
\section{Introduction}\label{sec:intro}
Topological complexity is a numerical homotopy invariant, introduced by Farber in the course of his topological study of the robot motion planning problem \cite{Far03, Far06}. For any space $X$, the number ${\sf TC}(X)$ is defined to be the sectional category of the free path fi... |
\section{Introduction}
\paragraph{\bf Hard lattice problems.} Lattices are discrete subgroups of $\mathbb{R}^d$. More concretely, given a basis $B = \{\vc{b}_1, \dots, \vc{b}_d\} \subset \mathbb{R}^d$, the lattice $\mathcal{L} = \mathcal{L}(B)$ generated by $B$ is defined as $\mathcal{L}(B) = \left\{\sum_{i=1}^d \lamb... |
\section{Introduction}
In various papers \cite{BV}, \cite{MaM}, \cite{MP4} the Ray-Singer
analytic torsion \cite{RS} has been used to study the
growth of torsion in the cohomology of cocompact arithmetic groups. Since many
important arithmetic groups are not cocompact, it is very desirable to extend
these results to t... |
\section{Introduction}\label{section one}
The symmetric simple exclusion process (SSEP) with a slow bond was introduced in \cite{francogn2013slowbond} by Franco, Gon{\c{c}}alves and Neumann to derive from microscopic systems PDEs with boundary conditions, which has become a popular topic recently \cite{franco2016sca... |
\section{\@startsection {section}{1}{\z@}{3.25ex plus 1ex minus
.2ex}{1.5ex plus .2ex}{\large\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{3.25ex plus 1ex minus
.2ex}{1.5ex plus .2ex}{\normalsize\bf}}
\@addtoreset{equation}{section}
\makeatother
\title{ Prohorov-type local limit theorems on\\ abstra... |
\section{Introduction}
The paper \cite{grilliette6} developed a categorical perspective of graph theory, slotting familiar graph-theoretic objects and operations into a diagram of categories and functors. Thus far, the work has considered the following structures: the category $\cat{Q}$ of quivers (i.e.\ directed mu... |
\section{Introduction}
Quantum metrology \cite{advances} studies the employment of quantum resources (such as entanglement \cite{EN1} and discord \cite{discord1}) on the enhancement of measurement accuracy \cite{Braunstein1994}.
The problem of quantum metrology can be reduced to find optimal scheme for the estimation ... |
\section{Introduction}
The purpose of this paper is to provide a convenient operadic framework for the cumulants of free probability theory.
In~\cite{DrummondColeParkTerilla:HPTI,DrummondColeParkTerilla:HPTII}, the author and his collaborators described an operadic framework for so-called Boolean and classical cumula... |
\section{INTRODUCTION}
In recent years deep learning methods have demonstrated significant improvements in various tasks. These methods outperform human-level object detection in some tasks \cite{resnet}, and achieve state-of-the-art results in machine translation \cite{nmt} and speech processing \cite{graves2013speech... |
\section{Introduction}
The black hole information puzzle is the puzzle of whether black hole formation and evaporation is unitary, and debate on this issue has continued for more than 36 years \cite{Page:1993up, Giddings:2006sj, Mathur:2008wi}, since Hawking radiation was discovered \cite{Hawking:1974sw}. Hawking orig... |
\section{\label{sec:NewNuclearData}New Nuclear Data}
\section{\label{sec:Introduction}Introduction}
The ${^{22}}$Ne($\alpha$,$n$)${^{25}}$Mg is the main neutron source in evolved massive stars (M$>$10M$_\odot$) for the weak $s$-process (see Ref. \cite{pignatari:10}), producing most of the s-elements between iron and s... |
\section{Introduction}
Judging similarity between any pair of stimuli is an ambiguous problem: deciding what counts as similar is subjective and sensitive to context \cite{Medin1993}.
Nevertheless, people are relatively consistent in making similarity judgments, which is perhaps explained in part by the biases they dev... |
\section{Introduction}
We shall study the sets whose intrinsic density is in the open unit interval. By a result of Astor \cite{intrinsicdensity}, intrinsic density $r$ is equivalent to injection stochasticity $r$, which is the uniform variant of Kolmogorov-Loveland stochasticity. Our goal is to separate intrinsic dens... |
\subsection{Model-Free Policy Search}
In model-free policy search, sampled trajectories are used directly to
update the policy parameters.
The discussion will follow the three main steps followed by the
algorithms: %
(i) how they {\em explore} the space of policies, %
(ii) how they {\em evaluate} policies, and %
(iii)... |
\section{Introduction}
\label{S:intro}
In this paper we consider the problem of estimating the number of isomorphism
classes of principally polarized abelian varieties $(A,\lambda)$ such that $A$
lies in a given isogeny class of simple ordinary abelian varieties over a finite
field. We approach this problem by subdivi... |
\section{Cycle graphs}\label{sec:cycles}
We consider the family of graphs consisting of one cycle of length $\leq n$
(and no other edges or vertices).
We discuss both of the cases where the decoder is aware and oblivious of the value of $n$, as discussed in \Cref{pro:aware}. In particular we show that oblivious decodi... |
\section{Introduction}
Astrophysical and cosmological evidences suggest that non-baryonic cold dark matter (DM) constitutes $84\%$ of the matter density of the Universe \citep{Ade:2015xua}. Many well-motivated
DM candidates are predicted to annihilate or decay into Standard Model (SM) particles and to produce second... |
\section{Introduction}\label{sec:intro}
Nonconvex optimization plays a central role in machine learning because the training of many modern machine learning models, especially those from deep learning, requires optimization of nonconvex loss functions. Among algorithms for solving nonconvex optimization problems, stoch... |
\section{Stronger Hypotheses}\label{sec_StrongerHypotheses}
In this section we shall prove Theorems \ref{thm_MainTheorem_two},\ref{thm_MainTheorem_three} and \ref{thm_MainTheorem_four}. Let us start with Theorem \ref{thm_MainTheorem_two}. Let $l$,$m$,$\<S_n : n > m + 1\>$, $\<n_k: k < \omega\>$ be as in its statemen... |
\section{Introduction}
Many important real-world problems involve optimizing a submodular function. Such problems include maximum coverage, maximum cut \cite{MaxcutSDP}, maximum influence \cite{MaxSpreadInfluence}, sensor placement problem \cite{NearSensorPlacement,SubInfoGather}, as well as many problems in the machin... |
\section{Introduction}\label{sec:introduction}
According to \cite{Corbett:2000:Number}, grammatical number in English can be conceptualized as a `feature' \citep[see also][]{Jakobson:1928} with two opposing values: singular and plural. For English, the formal realization of the nominal plural is the addition of the ... |
\section{Introduction}
Artificial neural networks are currently considered the state of the
art in applications ranging from image classification, to speech recognition
and even machine translation. However, little is understood about
the process by which they are trained for supervised learning tasks.
The probl... |
\section{Introduction}
Cardinality estimation, or the distinct counting problem, is a fundamental data analysis task.
Typical applications are found in network traffic monitoring \cite{estan2003bitmap},
query optimization \cite{selinger1989access}, and counting unique search engine queries \cite{heule2013hyperloglog}.... |
\section{Introduction}
Our purpose is to classify all finite dimensional representations of the Leavitt path algebra $L(\Gamma)$ of a row-finite di(rected )graph $\Gamma$. The main tools we employ are that the category of $L(\Gamma)$-modules is equivalent to a full subcategory of quiver representations of $\Gamma$ sat... |
\section{Introduction}
We start with a brief recall of $t$-designs.
Let ${\mathcal{P}}$ be a set of $v \ge 1$ elements, and let ${\mathcal{B}}$ be a set of $k$-subsets of ${\mathcal{P}}$, where $k$ is
a positive integer with $1 \leq k \leq v$. Let $t$ be a positive integer with $t \leq k$. The pair
${\mathbb{D}} = ({... |
\section{Introduction}
Differential privacy (DP) \cite{dwork2006calibrating} is a mathematical standard for quantifying the privacy performance of a data publishing or data analysis mechanism \cite{survey_2017}. To conceal the presence of any individual in the dataset, DP mechanisms perturb the query response or the o... |
\subsection{Adversarial Graph Signal Denoising Problem}
Note that the second term in the GSD problem (Eq.~(\ref{graph signal denoising})) which controls the smoothness of the feature matrix over graphs, is related to both the graph Laplacian and the node features. Therefore, the slight changes in the graph Laplac... |
\subsection{Methods}
\subsubsection{Sample Fabrication}
The plasmonic nanoantennas are fabricated using a top-down approach, based on the method outlined by \citet{horrer2013}. Au(80 nm) films were deposited using electron-beam evaporation onto glass substrates. Later, Al$_{2}$O$_{3}$(3.5 nm)/Tb$_{18}$Co$_{82}$(15 nm)/... |
\section{Introduction}
\label{sec:intro}
We consider the Schr\"odinger equation with a logarithmic nonlinearity,
\begin{equation} \tag{logGP}
i \partial_t u + \Delta u = \lambda u \ln{\@ifstar{\oldabs}{\oldabs*}{u}^2}, \quad
u_{\mid t=0} =u_0, \label{logGP}
\end{equation}
where $x \in \mathbb{R}^d$, $d \geq 1$,... |
\section{Introduction}
\setcounter{section}{1}\setcounter{equation}{0}
Lie conformal (super)algebras, originally introduced by Kac in \cite{K1,K2}, encode an axiomatic
description for the singular part of the operator product expansion of chiral fields in
two-dimensional conformal field theory. They are very close... |
\subsection{Visual Grounding}
The visual grounding methods can be categorized into two-stage methods and one-stage methods.
\textbf{Two-stage methods} divide the visual grounding process into two steps: generation and ranking.
Specifically, a module such as selective search~\cite{uijlings2013selective}, region prop... |
\section{Introduction}
\subfile{sections/introduction}
\section{Background}
\subfile{sections/background}
\section{Related Work}
\subfile{sections/relatedwork}
\section{Experimental Setup}
\subfile{sections/experimentalsetup}
\section{Baseline Experiment}
\subfile{sections/baselineexperiment}
\section{Reinforcemen... |
\section{Introduction}
With the discovery of the Higgs Boson in 2012 by both the ATLAS~\cite{Higgs_atlas} and the CMS~\cite{Higgs_cms} collaborations, our understanding of the physics of the fundamental particles up to the $1$ TeV scale, otherwise known as the Standard Model (SM), has been experimentally confirmed. Ho... |
\section{Introducntion}
The present COVID-19 pandemic is a dynamic and volatile process with often unpredictable ups and downs in the infected populations that make it difficult to predict its future course. In the absence of any vaccine or definitive drug in the immediate future \cite{Chen2020} the fight against COVI... |
\section*{}
\vspace{-1cm}
\footnotetext{\textit{$^{a}$~Fluid Mechanics Group, Carlos III University of Madrid, Legan\'es, Spain. E-mail: bubbles@ing.uc3m.es}}
\footnotetext{\textit{$^{b}$~Physics of Fluids group. University of Twente, Enschede, The Nederlands. }}
\footnotetext{\dag~Electronic Supplementary Informat... |
\section{Introduction}
\label{Section:Introduction_IFB}
\input{Introduction_IFB.tex}
\section{Problem Formulation}
\label{Section:Problem_IFB}
\input{Problem_IFB.tex}
\section{Statement of the Main Results}
\label{Section:Main_IFB}
\input{Main_IFB_symmetric.tex}
\section{Proof of Theorem~\ref{THM:Capacit... |
\section{Introduction \label{sec:intro}}
Centrality measures are prescriptions for assigning importance values to nodes in complex networks, and the power of the concept stems from the flexibility of characterizing importance in different ways. As such, centralities can be applied everywhere from Internet search res... |
\section{Introduction}
Fluctuation is one of the most important quantities in nonequilibrium statistical mechanics.
A milestone is the fluctuation-response relation in the linear response regime~\cite{Joh28}, which connects the fluctuation of currents to the response of currents to small external perturbations.
The f... |
\section{Introduction}
\label{sec:intro}
Traditional multispectral images (MSIs, \textit{e}.\textit{g}. RGB images) usually contain a reduced number of spectral bands providing a limited spectral information. It is well-known that, the more spectral bands we have, the better we would understand the latent spectral str... |
\section{Introduction}
Relativity theory, quantum theory, and information theory are fundamental
blocks of theoretical physics \cite{peres2004}. The goal of theoretical
physics is to describe and, to a certain extent, understand natural phenomena.
Unfortunately, complex difficulties arise when one attempts to mer... |
\section{ Introduction}
In this paper, we study a priori interior Hessian estimates in all dimensions for the Lagrangian mean curvature equation
\begin{equation}
F(D^{2}u)=\sum _{i=1}^{n}\arctan \lambda_{i}=\psi(x) \label{s}
\end{equation}
under the assumption that $|\psi|\geq (n-2)\frac{\pi}{2}+\delta$ where $\de... |
\section{Introduction}
Cloning algorithms are numerical procedures aimed at simulating rare events efficiently, using a population dynamics scheme. In such algorithms, copies of the system are evolved in parallel and the ones showing the rare behavior of interest are multiplied iteratively~\cite{Anderson1975_63_4,Gla... |
\section{Introduction}
One of the central objects studied in general relativity are isolated gravitational systems such as stars, black holes and galaxies. Mathematically, they are modeled by asymptotically flat initial data sets (IDS) which are triples $(M,g,k)$ consisting of an asymptotically flat, complete, smooth ... |
\section{Introduction}
The work presented here, roughly speaking, aims at proving a version of the folklore statement: Gravitational waves carry energy away from an isolated system. More precisely, a system with no radiation emitted to infinity must in fact be stationary. On physical grounds it is expected that tru... |
\section{Motivation and significance}
Scanned probe techniques such as scanning tunneling microscopy (STM) and non-contact atomic force microscopy (nc-AFM) have now made direct investigation of on-surface reactions a routine experimental technique \cite{Barth2007, Jelinek2017}. As the diverse ecosystem of organic mole... |
\section{Introduction}
One of the prominent fields in robotics is the development of artificial or prosthetic limbs. The most advanced devices are controlled via electromagnetic sensors that measure sEMG signals either from muscles \cite{fajardo2015} or the central nervous system \cite{Li2017}.
Artificial limbs are ... |
\section{Introduction}
\ac{ISAC} has emerged as a key enabler for 5G and beyond wireless systems to deal with the challenging requirement in terms of spectral efficiency, localization, as well as power consumption \cite{bourdoux20206g}. In particular, the waveform design for \ac{ISAC}, sharing common hardware and... |
\section{Introduction}\label{sintro}
\section{Background: CUR and low-rank approximation}\label{sbcgr}
{\em Low-rank approximation} of an $m\times n$ matrix $W$
having a small numerical rank $r$, that is, having
a well-conditioned rank-$r$ matrix nearby,
is one of the most fundamental problems of
numerical lin... |
\section{Introduction}\label{intro}
Cellular communication relies upon binding of ligands to specific cell surface receptors. \textit{G-protein-coupled receptors} (GPCRs) are key players in initiating and regulating cellular processes as they mediate responses to hormones, neurotransmitters, metabolites, ions, fatty ... |
\section{Introduction}
Many complex and significant optimization problems (such as all of Karp's 21 NP-complete problems~\cite{L2014}, the~travelling salesman problem~\cite{KT1985}, the~protein folding problem~\cite{BW1987}, financial portfolio management~\cite{quantumfinance}) can be mapped into the problem of findin... |
\section{Introduction}
Multiple unmanned aerial vehicles (UAVs) have attracted considerable interest these years, of which prospective applications include disaster area or maritime surveillance, border patrol, environmental sensing, delivery service, etc (\cite{jenie2016taxonomy}). This determines that the UAVs would... |
\section{Introduction}
\label{sec:Introduction}
Topological insulators (TIs) form a class of materials with unique properties, associated with a non-trivial
topology of their quasiparticle band structure (for a review, see
Refs.~\cite{Zhang:rev, Hasan-Kane:rev, Hasan-Moore:rev, Ando:rev}).
The key feature of two-dime... |
\section{Introduction}\label{sec:bsu-intro}
Spatial structures and spatial algorithms are sometimes overshadowed by geostatistics and geochemical analysis in geology and stratigraphic modelling despite playing a no-less important role. In this paper, \textit{surface warping} is concerned with computational methods for ... |
\section{Introduction}
The sharing of medical datasets is essential in enabling the cross-hospital flow of medical information and improving the quality of medical services~\cite{kumar2021integration}.
However, sharing healthcare datasets between different hospitals faces several thorny issues.
Firstly, privacy protect... |
\section{Introduction}
Many generations of astronomers
have been seraching for
the possible existence of
exoplanets before the end of twentieth century
(Briot \& Schneider 2018)
with the discovery of 51 Peg b (Mayor \& Queloz 1995).
Since then, exoplanetary science has witnessed
a boom that has made it
one of the mo... |
\section{Methods}
\label{sec:methods}
\figframework
Our aim was to build a flexible and manipulative style space. In particular, we considered the following objectives.
(i) Visual similarity should be considered. For example, visually similar pairs, such as a wolf and a dog, should be placed in similar places in the... |
\section{Introduction}
Offline reinforcement learning seeks to solve decision-making problems without interacting with the environment.
This is compelling because online data collection can be dangerous or expensive in many realistic tasks.
However, relying entirely on a static dataset imposes new challenges.
One is th... |
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