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3,212,635,538,806 | arxiv | \section{Introduction}
Phononic crystals (PCs) are defined as periodic elastic lattices that can transmit or block a selected range of mechanical vibrations (i.e., phonons)~\cite{sound_atten, PC1, PC4, PC2, mitigate1, PC3}. Wave propagation in PCs has been a subject of intense study for the past several years \cite{gr... |
3,212,635,538,807 | arxiv | \section{Introduction}
\label{sec:intro}
The nature of dark matter is one of the most important open questions in fundamental physics. The asymmetric dark matter paradigm~\cite{Nussinov:1985xr,Barr:1990ca,Barr:1991qn,Dodelson:1991iv,Kaplan:1991ah,Kuzmin:1996he,Foot:2003jt,Foot:2004pq,Hooper:2004dc,Kitano:2004sv,Gudnas... |
3,212,635,538,808 | arxiv | \section{Introduction}
In condensed matter physics, the goal of generalizing SU(2)
lattice fermion or spin models to those with high symmetries of
SU($N$) \cite{Affleck1988, Arovas1988,Read1990} or Sp($N$)
\cite{Read1991,Sachdev1991}, was originally to employ the
systematic $1/N$-expansion to handle strong correlation ... |
3,212,635,538,809 | arxiv | \section{\label{sec:level1}Introduction}
The multi-particle entangled Greenberger-Horne-Zeilinger (GHZ) state shows unique non-local correlations which are essential for understanding the fundamental principles of quantum entanglement \cite{Greenberger89, Carvacho17} and has important applications in quantum informatio... |
3,212,635,538,810 | arxiv | \section{Introduction}
Study of voids and their galaxies became especially popular in XXI century
thanks to the massive redshift data from several very large surveys, such
as SDSS, 2dFGRS, 6dF, ALFALFA, and the large progress in models and
simulations.
However, almost all void galaxy studies are biased to distant (8... |
3,212,635,538,811 | arxiv | \section{Introduction}
Risk-sensitive control generalizes classical stochastic control by considering directly the optimizing agent's degree of risk aversion. In risk-sensitive control, the decision maker's objective is to select a control policy $h(t)$ to maximize the criterion
\begin{equation}\label{eq_criterion_J}
... |
3,212,635,538,812 | arxiv | \section{Details on the Rarita-Schwinger object}
\label{app:RSspinor}
We describe a $J^P = 3/2^-$ state by the spin-$3/2$ projection $u^\alpha$ of a generic
Rarita-Schwinger object $u^\alpha_\text{RS}(k, \eta) = \eta^\alpha u(k)$,
\begin{equation}
\begin{aligned}
u_{(3/2)}^\alpha(k, \eta, s_c)
& = \left[\e... |
3,212,635,538,813 | arxiv | \section{Introduction}
One of the fundamental problems in network data analysis is community detection that
aims to divide the network into non-overlapping groups of nodes such that nodes within the same community are densely connected and nodes from different communities are relatively sparsely connected.
Community ... |
3,212,635,538,814 | arxiv | \section{Introduction}
The structure and the dynamics of hadrons are generally believed to be
described by Quantum chromodynamics (QCD).
A prominent feature of QCD is the asymptotic freedom which allows
the processes at high energies to be
described perturbatively in terms of these degrees of freedom.
However, at... |
3,212,635,538,815 | arxiv | \section{Introduction}
A fundamental problem in computational genomics
is genome assembly, whose goal is
reconstructing a genome given a set of reads (a read is a sequence of base pairs)~\cite{Alonge519637,bioinfo2020}.
After the generation of initial assemblies, called \emph{contigs}, they have
to be ordered cor... |
3,212,635,538,816 | arxiv | \section{Introduction}
Due to their excellent feature extraction capabilities,
deep neural networks have become state-of-the-art in feature extraction and are the basis of most Content Based
Image Retrieval methods [42]. The evaluation of similarity between two images would be performed by computing
a predefined distan... |
3,212,635,538,817 | arxiv | \section{Introduction}
Ribonucleic acid (RNA)
plays a fundamental role in the biology of the cell.\cite{morris2014riseregRNA}
RNA molecules fold in intricate structures, that undergo complex rearrangements,\cite{al2008rna}
to fulfill a number of
biological functions, such as gene regulation, splicing, catalysis, a... |
3,212,635,538,818 | arxiv | \section{Introduction}
For a quasi-category $\mathcal{C}$, there are three common definitions of morphism complexes, often termed left, right and middle. For morphisms from $x$ to $y$ they can be defined as the fibres of the canonical maps
\[\mathcal{C}_{/y} \rightarrow \mathcal{C}, \quad \mathcal{C}_{x/} \rightarrow ... |
3,212,635,538,819 | arxiv |
\section{Introduction}
Complex object manipulation in uncontrolled environments is a hard and not yet completely solved
problem in robotics.
One of the major issues in this context is the problem of generalizing motor skills \cite{Argall:2009:SRL:1523530.1524008, Smith2012, mulling2013learning, Hangl-2015-ICAR}.
Much ... |
3,212,635,538,820 | arxiv | \section{Introduction}
Recently large-scale pretrained language models~\cite{devlin-etal-2019-bert,liu2019roberta,2020t5} have shown to gain linguistic knowledge from unlabeled corpus and achieve strong performance on many downstream natural language processing~(NLP) tasks.
Though probing analysis indicate that, to so... |
3,212,635,538,821 | arxiv |
\section{Introduction}
\noindent
Physics in the forward region at hadron colliders
is traditionally dominated by soft particle production. With the start of the LHC,
forward physics turns into a largely new field~\cite{grothe,ajaltouni,denterria}
because,
due to the phase space opening up at large ce... |
3,212,635,538,822 | arxiv | \section{Introduction and the main results}\label{introduction}
The Boussinesq system for a reactive flow is a model describing
flame propagation in a gravitationally stratified medium
\cite{ZBLM85}. It consists of the reaction-advection-diffusion
equation for the reactant temperature $\theta$ (normalised so that
$... |
3,212,635,538,823 | arxiv | \section{The cat argument} Schr\"odinger suggests to close a cat in a
perfectly isolated box, which contains an ``infernal device'' which
opens a poison vial if an atom decays. He then suggest to use an atom
that has a half-life of one hour and to wait for one hour. What will
happen? Of course, the atom has probability... |
3,212,635,538,824 | arxiv | \section{Introduction}\label{sec:first}
Throughout this paper, we call a non-constant continuous mapping $f: \Omega\to\ensuremath{\mathbb{R}}^n$ a mapping of finite distortion if $f$ belongs to the Sobolev space $W_{loc}^{1,1}(\Omega,\ensuremath{\mathbb{R}}^n)$ with $\frac{|Df|^n}{\log(e+|Df|)}\in L_{loc}^1(\ensuremat... |
3,212,635,538,825 | arxiv | \section{Introduction}
We are interested in quantifying the difference between minimisers of interacting particle energies and the minimisers of the related energies for the particle density. The interacting particle energies are given by
\begin{gather}\label{En}
E_n (\mathbf x)
= \frac1{n^2} \sum_{i=1}^n \su... |
3,212,635,538,826 | arxiv | \section{Introduction}\label{Sec:Introduction}
Experimental searches for physics beyond the Standard Model often look for peaks or dips in kinematic distributions. Although this is certainly well motivated, there exist potential signals that can take far more complicated forms and which have received very little attent... |
3,212,635,538,827 | arxiv | \section{Introduction}
A number of models, most notably the Randall-Sundrum~1 class
models~\cite{RaS1999},
predict the possibility of discrete TeV-scale graviton
resonances. The coupling of the Kaluza-Klein graviton states to matter is
enhanced when compared with the coupling of the ground state graviton
to matter~\ci... |
3,212,635,538,828 | arxiv | \section{A basic theorem}
Suppose that $\g$ is a finite dimensional Lie algebra over a field $k$, which may be of any characteristic, and that $M$ is a finite dimensional $\g$ module. We will call an element $\sigma\in\g$ \emph{ad-semisimple (adss)} if it acts semisimply both on $\g$ and on $M$. (Note that unless $\g... |
3,212,635,538,829 | arxiv | \section{Introduction}
The study of hybrid nanostructured semiconductor and plasmonic materials has undergone an explosion in the
recent years largely thanks to the hope of improving the performances of semiconductor devices and materials
by taking advantage of the strong light/matter interaction of the plasmonic nan... |
3,212,635,538,830 | arxiv | \section{Introduction.}
\label{sec:1}
According to the so-called Reeb's theorem, Morse functions with exactly two singular points on closed manifolds characterize spheres whose dimensions are not $4$ topologically and the $4$-dimensional unit sphere.
{\it Special generic} maps are, in short, their higher dimens... |
3,212,635,538,831 | arxiv | \section{Introduction}\label{intro}
AdS/CFT is a conjectured duality relating an asymptotically AdS quantum gravity theory (the ``bulk'') to a conformal field theory living on the AdS-boundary of the spacetime. In its best established form \cite{AdSCFT}, the CFT is a super-Yang-Mills theory with a large number $N$ ... |
3,212,635,538,832 | arxiv | \section{Introduction}
\epigraph{
{So they cut him to pieces, wrote a thesis\\
A cranium of deceit, he's prone to lie and cheat;\\
It's no wonder -- a blunder from down under\\
Duckbill, watermole, duckmole!}}
{\textup{Mr. Bungle}, Platypus~~~~~~~~~~~}
\section{Introduction}
This paper works as an overview of ... |
3,212,635,538,833 | arxiv | \section*{Methods}
\textbf{Sample preparation.}
TaS$_2$ was grown by molecular beam epitaxy (MBE) on highly oriented pyrolytic graphite (HOPG) under ultra-high vacuum conditions (UHV, base pressure $\sim1\times10^{-10}$ mbar). HOPG crystal was cleaved and subsequently out-gassed at $\sim800^\circ$C. High-purity Ta and... |
3,212,635,538,834 | arxiv | \subsection{\@startsection{subsection}{2}%
\z@{.5\linespacing\@plus.7\linespacing}{-.5em}%
{\normalfont\scshape}}
\def\specialsection{\@startsection{section}{1}%
\z@{\linespacing\@plus\linespacing}{.5\linespacing}%
{\normalfont}
\def\section{\@startsection{section}{1}%
\z@{.7\linespacing\@plus\linespacing}... |
3,212,635,538,835 | arxiv | \section*{Abstract}
A prediction interval is a statistical interval that should encompass one (or more)
future observation(s) with a given coverage probability and is usually computed based on
historical control data. The application of prediction
intervals is discussed in many fields of research, such as toxicology... |
3,212,635,538,836 | arxiv | \section{Introduction}
An interesting and promising field of research
is the issue of spacetime structure in extremal energy regimes.
There are evidences from General
Relativity, string theory and black hole physics which support the
hypothesis of a noncommutative structure. The simplest and
probably most suggestive ... |
3,212,635,538,837 | arxiv | \section*{Introduction}
Recently, two-dimensional (2D) materials have attracted much attention because of their unusual characteristics, such as Dirac fermions, topological states, and valley polarization\cite{Geim2005,Qian2014,Geim2013}.
The discovery of graphene, a monolayer of carbon atoms in the honeycomb lattice\c... |
3,212,635,538,838 | arxiv | \section{Introduction}
In this paper we analyze the dynamics of a non-relativistic charged quantum system under the influence of an external classical random scalar field. We focus on the spectrum of the radiation emitted by the system, due to the interaction with the field.
The study of the radiation emission is ... |
3,212,635,538,839 | arxiv | \section{Introduction}
The transiting extrasolar planet candidate HTR154-011 has been identified
by the telescopes of the HATNet (HAT-7, HAT-8 and HAT-6, HAT-9) --
see \cite{bakos2002} for a detailed description about the instrumentation.
The reduction of the frames followed
the standard frame calibration procedure... |
3,212,635,538,840 | arxiv | \section{Introduction}
\label{I}
\setcounter{equation}{0}
In 2012 and 2013 we published two papers~\cite{us1,us2} which generated significant amounts of interest within and beyond academia.
This resulted in invited articles in science magazines, newspaper reports, radio interviews and a host of coverage on b... |
3,212,635,538,841 | arxiv | \section{Introduction}
The simple Lie superalgebra $\mathfrak{osp}_{1|2n}$ behaves in many respects like a simple Lie algebra. For example the category of finite-dimensional representations of a simple Lie superalgebra $\mathfrak{g}$ is semisimple if and only if $\mathfrak{g}$ is of type $\mathfrak{osp}_{1|2n}$ or a ... |
3,212,635,538,842 | arxiv | \section{Introduction}
\label{sec:intro}
Dimensionality reduction is one of the critical steps of data analysis. The proper application of dimensionality reduction allows to decrease the required space for data storage and increase the speed of the data processing by machine learning algorithms. Most importantly, i... |
3,212,635,538,843 | arxiv | \section{Introduction}
We consider the task of approximating the spectral sum $\operatorname{tr}(f(\vec{A})) = \sum_{i=1}^{d} f(\lambda_i)$ under the assumption that $\vec{A}$ is accessed by matrix-vector products (matvecs). Here $f$ is a scalar function and $\vec{A}\in \mathbb{R}^{d\times d}$ is a symmetric matrix wi... |
3,212,635,538,844 | arxiv | \section{Method}
\begin{figure*}
\centering
\includegraphics[width=1.0\textwidth]{latex/Images/pipeline.pdf}
\vspace{-0.5cm}
\caption{\textbf{Method overview.} Our generator consists of three main components: 1) a deformation network $\mathbf{N}_G$ that maps the coordinates from deformed space to the canonical space co... |
3,212,635,538,845 | arxiv | \section{Dataset Contents}\label{sec:core}
In this section, we explain what data we are releasing.
\subsection{GitHub Repositories}
The most popular Android repositories on GitHub (ranked by the number of stars) is used to create the search corpus. For each repository that we indexed, we provide the link, specific to ... |
3,212,635,538,846 | arxiv | \section{Introduction}
Equilibria in games with a continuum of players have received a lot of attention since the seminal work of Aumann~\cite{Aumann,Aumann2}, followed by Schmeidler~\cite{Schmeidler} and Mas-Colell~\cite{MasColell}. Following the presentation of Mas-Colell~\cite{MasColell}, we consider a type space $X... |
3,212,635,538,847 | arxiv | \section{Introduction}
The notion of $p$-negative type is a non-linear property of metric spaces with strong connections to embedding theory. An early example of such a connection is Schoenberg's classical result that a metric space is isometric to a subset of a Euclidean space if and only if it has 2-negative type \c... |
3,212,635,538,848 | arxiv | \section{Introduction}
A ring $R$ is \emph{von Neumann regular} if it has the property that for every $a\in R$ there is
some $x\in R$ such that $a=axa$. If we have $a=axa$ then $ax$ is necessarily idempotent and
so one of the interesting consequences of this condition is that principal left and
right ideals of ... |
3,212,635,538,849 | arxiv | \section{INTRODUCTION}
Semiclassical periodic-orbit theory (POT) is a powerful tool for
the study of shell structures in the single-particle level density of
finite fermionic systems \cite{GUTZpr,GUTZbook90,BBann72,sclbook}.
This theory relates the oscillating level
density and shell-correction
energy to the sum over ... |
3,212,635,538,850 | arxiv | \section{Introduction}
\label{sec:introduction}
Massive amounts of data is being generated each day by the growing ecosystem of billions of computing devices with sensors connected through the network edge and powered by artificial intelligence (AI). This is shaping the future of both public-interest and curiosity-driv... |
3,212,635,538,851 | arxiv | \section{Introduction}
\label{sec-intro}
Human-like linguistic generalization plays a key role in developing better models for natural language processing \cite{linzen-2020-accelerate}. Modeling the lexical development in children is an important aspect of demystifying the dynamics of human language learning. Lexical ... |
3,212,635,538,852 | arxiv | \section{An Overview of Massive Stars}
\noindent Massive stars play a key role in the universe through the light they shine, the elements they produce and the explosion that marks their death. Consequently, their evolution and structure are important for many other astrophysical phenomena: nucleosynthesis, pre-superno... |
3,212,635,538,853 | arxiv | \section{Introduction}
The theory of General Relativity (GR) beautifully describes the dynamics of space and time, incorporating local Lorentz symmetry through Einstein's equivalence principle.
Lorentz boosts are transformations that depend on the speed of light $c$.
An obvious and important regime to study is the one ... |
3,212,635,538,854 | arxiv | \section*{Composite model of a corneal lamella}
Let $\sigma_{i}^{(k)}$ and $s_{j}^{(k)}$ denote the $i$-th stress and $j$-th strain elements, respectively, in Voigt notation. Here, '$1$' is for '$xx$', '$2$' for '$yy$', '$3$' for '$zz$', '$4$' for '$yz$', '$5$' for '$xz$', and '$6$' for '$xy$' for Cartesian coordinates... |
3,212,635,538,855 | arxiv | \section{Introduction}
In this study we are investigating the acoustic equations as a
perturbation of the Navier-Stokes equations around a stagnant uniform
fluid, with mean density $\rho_0$ and without heat flux. For gases
the (dynamic) viscosity $\eta$ is very small and leads to
\textit{visco... |
3,212,635,538,856 | arxiv | \section{Introduction}
Despite being over 100 years old, Einstein's General Relativity (GR) is the most successful theory of modern physics to explain gravitational phenomena. In fact, the predictions of GR have passed all observational/experimental tests both in the weak field limit and more recently for strongly sel... |
3,212,635,538,857 | arxiv | \section{Introduction}
Now the long-awaited {\it top quark}\/ is discovered.
I have been trying to tell my non-physicists friends how significant
this result is. Some told me back before I began explanations,
\begin{quote}
``Oh, yeah, I read the story in {\it The New York Times}.\/ I thought
particle physics is ove... |
3,212,635,538,858 | arxiv | \section{Introduction}
In the era of big data, data analysis has become one of the fundamental tools for extracting information over the last few decades. Due to the abundance of available data, data analysis and machine learning have become critical components for data-driven decision-making~\cite {provost2013data}. D... |
3,212,635,538,859 | arxiv | |
3,212,635,538,860 | arxiv | \section{Introduction}
Model-based control approaches such as model predictive control (MPC) \cite{Rawlings2017} use a model of the controlled system to compute appropriate control inputs.
By operating in a closed-loop framework they are able to react to uncertainties and model-plant mismatch.
However, standard, i.e.,... |
3,212,635,538,861 | arxiv | \section{Introduction}
The Cremona group $\mathrm{Cr}_n(\mathbf{F})$ is a group of birational automorphisms of $\mathbb{P}^n$ over a field $\mathbf{F}.$ It is difficult to describe this group, except the case $n=1,$ when we have~\mbox{$\mathrm{Cr}_1(\mathbf{F}) \simeq \mathrm{PGL}_2(\mathbf{F}).$} Even the classifica... |
3,212,635,538,862 | arxiv | \section{Introduction}
\label{sec:Introduction}
Comparing the shape of polygonal curves is an important task that
arises in many contexts such as GIS
applications~\cite{alt2003matching,buchin2013median}, protein
classification~\cite{jiang2008protein}, curve
simplification~\cite{buchin2011detecting}, curve
clustering~... |
3,212,635,538,863 | arxiv | \section{Introduction}
\begin{figure}
\includegraphics[width=\linewidth]{Ha_FUV_HI_color.pdf}
\includegraphics[width=\linewidth]{HoII_color_ifp_fuv_hi_zoom.pdf}
\caption{False-colour image of the galaxy Holmberg~II: red, green, and blue channels correspond to H$\alpha$, FUV (GALEX) and H~{\sc i}\ 2... |
3,212,635,538,864 | arxiv | \section{Introduction\label{sect:introduction}}
Classical and quantum Lie superalgebras and their representations play
respectively an important role in the understanding and exploitation of the
classical and $q$-deformed supersymmetry in physical systems. A complete
classification of the finite-dimensional simple ... |
3,212,635,538,865 | arxiv | \subsubsection{Sine density}
\begin{figure*}[tp
\centering
\begin{tabular}{llll}
\hspace{-6mm}
\includegraphics[height=50mm,width=0.25\textwidth]{plots/sine1D_hist.pdf}
&\hspace{-6mm}
\includegraphics[height=50mm,width=0.25\textwidth]{plots/sine1D_rates.pdf}
& \hspace{-6mm}
\includegraphics[height=50mm,width=0.25\text... |
3,212,635,538,866 | arxiv | \section{\label{sec:level1}Introduction}
Relativistic quantum fields~\citep{jean} are formulated on Minkowski space where intricate mathematical problems related to the hyperbolic geometry emerge. By recasting Minkowski space as Euclidean significant simplifications can be obtained for certain cases: The hyperbolic p... |
3,212,635,538,867 | arxiv | \section{Introduction}
Little string theories (LST) are non-gravitational string theories that exist in six spacetime dimensions which reduce to interacting local quantum field theories in the
limit where the string length scale $l_s\rightarrow 0$. In particular, the $A_{k-1}$ $\mathcal{N}=(2,0)$ little string theor... |
3,212,635,538,868 | arxiv | \section{Introduction}
In 2013, the \textit{Hubble} Space Telescope ({\textit{HST}) initiated the \textit{Frontier Fields} survey \citep{2017ApJ...837...97L}, with observations of six massive clusters to unprecedented depths, with the goal of improving our understanding of faint galaxies in the high-$z$ Universe.... |
3,212,635,538,869 | arxiv | \section{Introduction}
Electro-Seismic (ES) imaging and Seismo-Electric (SE) imaging are
emerging modalities in geophysical exploration. Compared with traditional
modalities, they provide images of high accuracy with low cost, which has led
to wide applications in locating groundwater aquifers and petroleum hydrocarb... |
3,212,635,538,870 | arxiv | \section{Introduction}
In this paper we consider the problem of designing optimal controllers for relaxation systems. Such systems play an important role in applications, and correspond to \cite{Wil72}:
\begin{enumerate}
\item Reciprocal electrical networks with only one type of energy storage element (i.e. only i... |
3,212,635,538,871 | arxiv |
\section{Introduction and Motivation}
\label{sec:intro}
Dynamic programming languages are a popular programming tool for many
applications, due to their flexibility.
They are often the first choice for web programming, prototyping, and
scripting.
The lack of inherent mechanisms for ensuring program data manipulation... |
3,212,635,538,872 | arxiv | \section{Introduction}
The most intriguing topic in contemporary cosmology is the nature of the dark
energy which appears to dominate the energy density of the Universe at late
times. Strong evidence for the existence of dark energy comes from both the
combined analysis of the cosmic microwave background radiation (C... |
3,212,635,538,873 | arxiv |
\subsection{Proof of Proposition~\ref{prop:c_rec} (Recursion on Lyapunov function $C_t$)}
\label{sub:proof_c_rec}
We begin by stating the following lemma,
which extends a key result of variance reduction methods (see, \emph{e.g.},~\cite{johnson_accelerating_2013}) to the situation considered in this paper, whe... |
3,212,635,538,874 | arxiv | \section{Introduction}
Let $q$ be a prime power, $\mathbb F_{q^2}$ be the finite field with $q^2$ elements, and $\mathcal X$ be an $\mathbb F_{q^2}$-rational curve, i.e. a projective, absolutely irreducible, non-singular algebraic curve defined over $\mathbb F_{q^2}$.
The curve $\mathcal X$ is called $\mathbb F_{q^... |
3,212,635,538,875 | arxiv | \section{Introduction}
\label{sec:intro}
Under the standard accretion disk paradigm for gamma-ray bursts, the outflow is powered
by the release of accretion energy, typically assumed to be driven by magnetic fields.
Bursts were distinguished by their duration and hardness~\citep{kouveliotou1993}.
The burst duration in... |
3,212,635,538,876 | arxiv | \section{Introduction}
When it comes to estimating nonlinear autoregressive (AR) models,
a typical case in the literature is that the underlying series are ergodic. Based on this assumption, a series of asymptotic theory has been established accordingly (see \cite{chan93},\cite{chan98},\cite{lid12},\cite{zwx10})... |
3,212,635,538,877 | arxiv | \section{Introduction and Background}
The semiconductor industry is constantly changing from the production of ICs to the complexity of their design. The industry has moved to a fabless model where most of the fabrication for a chip is outsourced a less secure and less trusted environment. These environments include te... |
3,212,635,538,878 | arxiv | \section{Introduction.}\label{intro}
\section{Introduction}
We propose and study a control problem for queueing systems where customers may return for additional episodes of service after their initial service completion. The probability of return for each customer can be reduced through what we refer to as a \emph{p... |
3,212,635,538,879 | arxiv | \section{Introduction}
In our quest to understand the structure of the
nucleon and eventually of nuclei at the fundamental
level of quarks and gluons, few problems have proven
more exciting than that of mapping the distribution
of the spin of the proton onto these
constituents~\cite{Thomas:2001kw,Bass:2007zz}.
Thi... |
3,212,635,538,880 | arxiv | \section{Introduction}\label{sec:intro}
In multi-objective design optimization, the objective function evaluations are generally computationally costly, mainly due to the long convergence times of simulation models. A simple and common remedy to this problem is to use a statistical model learned from previous evaluatio... |
3,212,635,538,881 | arxiv | \section*{Introduction}
In recent years, the field of topological data analysis (TDA) has rapidly grown to provide a set of powerful tools to analyze various important features of data \cite{Carlsson2009}. In this context, persistent homology has played a key role in bringing TDA to the fore of modern data analysis. I... |
3,212,635,538,882 | arxiv | \section{Introduction}
\indent Let
$\Sigma_{g,n}$ be a compact oriented surface of genus $g$ with $n$ open disks removed.
It is readily seen that $\Sigma_{g,n} \setminus D$ (where $D$ is an open disk) is homeomorphic to the tubular neighborhood of the graph $\Gamma$ whose edges are the generators of the fundamental gr... |
3,212,635,538,883 | arxiv | \section{Introduction}
Network modelling in systems medicine has emerged as a powerful analytics approach in the last couple of decades (\cite{Kitano:2002aa, Saqi:2016aa, Tian:2012aa}). Its aim is to analyse diseases and drug interventions as ways of acting, and re-acting, over bio-medical dynamical networks (\cite{Ba... |
3,212,635,538,884 | arxiv | \section{Conclusion}
\label{sec:conclusion}
Our goal in this paper has been to evaluate the quality of the multimodal representations
learned by an encoder---the core module of all the multimodal models
used currently within the language and vision community---which resembles the cognitive representational hub describ... |
3,212,635,538,885 | arxiv |
\section{Introduction}
Experimental access to the trilinear Higgs coupling, $\lambda_{hhh}$, is crucial for determining the shape of the Higgs potential and for unravelling the dynamics of the electroweak phase transition. Sizeable deviations from the Standard Model (SM) value are expected in many models of physics b... |
3,212,635,538,886 | arxiv | \section{Introduction}
The coincidences that arise when two unrelated, or peripherally related collections of combinatorial structures have the same generating function have always attracted interest. In such cases one frequently seeks an explanation of this coincidence which might be an explicit size-preserving bijec... |
3,212,635,538,887 | arxiv | \section{Background}
DataSite extends the literature on exploratory visual analysis and visualization recommendation to better aid analysts with data exploration in a proactive manner.
Here we discuss the state-of-the-art research and inspirations for DataSite.
\subsection{Exploratory Visual Analysis}
Exploratory d... |
3,212,635,538,888 | arxiv | \section{Introduction}
A reconfigurable intelligent surface (RIS) is a metasurface consisting of passive reflecting elements, which are software controlled to collaboratively convey the reflected signals towards any desired location. It is an attractive technology, since encoding and decoding operations are not needed,... |
3,212,635,538,889 | arxiv | \section{INTRODUCTION}
Recently, the fullerenes C$_N$ which have the hollow cage
structures of carbons have been intensively investigated.
There are several experimental indications that the doped
fullerenes show polaronic properties due to the Jahn-Teller
distortion, for example: (1) The electron spin resonance (ESR... |
3,212,635,538,890 | arxiv | \section{Introduction}
Incorporating the late cosmic acceleration (Riess et al. 1998;
Perlmutter et al. 1999; Spergel et al. 2003) has been the greatest
challenge of theoretical cosmology. Since its discovery at the
turn of the last century it has continued to puzzle the greatest
minds of present time. It is known that... |
3,212,635,538,891 | arxiv | \section{Introduction} \label{sec:int}
One of the popular approaches in the decomposition of time series is accomplished using the rates of change. In this approach, the observed time series is partitioned (decomposed) into informative trends plus potential seasonal (cyclical) and noise (irregular) components. Aligned ... |
3,212,635,538,892 | arxiv | \section{Introduction}\label{sec:intro}
Achieving reliable predictions of the thermodynamic properties of
solids is a critical challenge in materials physics. In particular, the
formation enthalpy of a compound with respect to its constituent
elements, $\Delta H_f$, is a key quantity that encapsulates phase
stability ... |
3,212,635,538,893 | arxiv | \section{Introduction}
Atmospheric turbulence is one of the dominant physical mechanisms limiting long distance optical propagation. Turbulence-induced inhomogeneities in the refractive index impart random phase front distortions that lead to spatial and temporal distortions in the optical field. When considering high-... |
3,212,635,538,894 | arxiv | \section*{Introduction}
Let $X:=\{x_1x_2={x_3}^{L^+}{x_4}^{L^-}\}$ be a affine toric Calabi-Yau $3$-fold, which corresponds to the trapezoid with height 1, with length $L_+$ edge at the top and $L_-$ at the bottom. Let $Y_\sigma \to X$ be a crepant resolution of $X$.
Note that $Y_\sigma$ has $L+2$ affine lines as tor... |
3,212,635,538,895 | arxiv |
\section{Introduction}
Cosmological inference takes into account the cosmic variance arising from sampling a finite number of modes. It should also take into account the observer's viewpoint or local environment, which induces systematic distortions in statistics of the large scale structure (LSS) relative to an ense... |
3,212,635,538,896 | arxiv | \section{Introduction}
The theory of regular model sets, which are also known as cut and
project sets with sufficiently nice windows, is well established; see
\cite{TAO} and references therein for general background. One
cornerstone of this class is the pure pointedness of the diffraction
measure \cite{Hof,Martin,BM}... |
3,212,635,538,897 | arxiv | \section{Introduction}
Understanding the mechanisms allowing interacting populations to co-occur underlies many questions in ecology, evolution, and epidemiology: When are species limited by a common predator able to coexist? What maintains genetic diversity within a species? Why do multiple pathogen strains persi... |
3,212,635,538,898 | arxiv | \section{Introduction}
Non-equilibrium physics \cite{Tauber2014,HHL08} constitutes an interesting research topic
to which a lot of effort has been devoted in last decades. In general
such problems are difficult to solve exactly. However, a great simplification is
possible near continuous phase transitions where
... |
3,212,635,538,899 | arxiv | \section{Introduction}
For signals buried into noise, to decide between the detected and non-detected statements is a long debated problem; in addition, any non-detected decision must include a detection-limit statement. For instance, in analytical chemistry, the detection limit is defined as the lowest quantity of a ... |
3,212,635,538,900 | arxiv | \section{Introduction}
\looseness=1
The purpose of this paper is to prove continuous and discrete
orthogonality relations for three families of special functions
that arise in connection with each compact simple simply connected
Lie group $G$ of rank $n$. These functions are def\/ined on $\mathbb R^n$
(more preci... |
3,212,635,538,901 | arxiv | \section{Introduction}
In his seminal article 65 years ago, Casimir formulated a physical problem
\cite{Cas}
which has had a tremendous influence on physics.
His pioneering analysis of the physical consequences of field
quantization under external, macroscopic boundary conditions
is still of current relevance. Indee... |
3,212,635,538,902 | arxiv | \section{Introduction}
The operator product expansion
(OPE)~\cite{Wilson:1971bg, Wilson:1971dh, zimbrand}
\begin{equation}
\label{ope1}
\O_{A_{1}}(x_{1})\cdots \O_{A_{N}}(x_{N})
\sim \sum_C {\cal C}_{A_{1}\ldots A_{N}}^C(x_{1},\ldots, x_{N}) \, \O_C(x_{N}),
\end{equation}
is an important structure in quantum field the... |
3,212,635,538,903 | arxiv |
\section{Conclusion}
\label{sec:conclusion}
\vspace{-6pt}
With web applications becoming increasingly storage-intensive, it is imperative to revisit the design of in-memory object caching in order to efficiently deal with both small and large objects. We have presented a novel in-memory object caching solution that a... |
3,212,635,538,904 | arxiv | \section{Introduction \label{sec:-1}}
Measuring the angle $\alpha$ of the unitarity triangle is one of
the major challenges of the $B$-factories BaBar at SLAC, BELLE
at KEK and the future LHC at CERN. $B\to\pi\pi$ decay channels
were identified long ago as a promising candidate for the
extraction of the angle $\alp... |
3,212,635,538,905 | arxiv | \section{Introduction}
The AdS/CFT correspondence \cite{Malda} is a most promising proposal
for a non-perturbative definition of string theory. Thus, this
correspondence should also have important consequences for early
universe cosmology. In fact, over the years there have been several
proposals which address the mea... |
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