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1,108,101,564,115 | arxiv | \section{Introduction}
A remarkable property of the Euclidean space of dimension at least
two, that to a great extent compensates for the lack of partition of
unity for holomorphic automorphisms, was discovered by Anders\'en and
Lempert in early 1990's \cite{An90,AnLe92}, see also the work by
Forstneri\v{c} and Rosay ... |
1,108,101,564,116 | arxiv | \section{Introduction}\label{sec1}
\label{sec:introduction}
Saccadic eye movement is one of most significant feature of human visual system which helps us to scan a scene with incredible celerity and robustness. During saccadic eye movement human eyes rapidly moves from one point to another while simultaneously detecti... |
1,108,101,564,117 | arxiv | \section{INTRODUCTION}
Increasingly often, researchers are confronted with monitoring the states of nodes in large computer, social, or power networks where these states dynamically change due to viruses, rumors, or failures that propagate according to the graph topology \cite{cohen-2003-91,Eubank_2004,newman-2002-66... |
1,108,101,564,118 | arxiv | \section{Introduction}
\label{intro}
Frustrated quantum spin models on the two-dimensional (2D) honeycomb
lattice have become the objects of intense study. Quantum
fluctuations on spin lattices are generally larger for lower
dimensionality $D$ and smaller values of the coordination number $z$
of the lattice, as well a... |
1,108,101,564,119 | arxiv | \section{Introduction}
Let $f(x)$ be a function defined on $(0,+\infty)$ to be approximated. We suppose that there exists a fixed positive integer $\nu$ and a constant $c\neq 0$ such that
\begin{align}
\lim_{x\rightarrow +\infty}x^{\nu}f(x)=c.\label{Condition-1}
\end{align}
In this case, we say that the function... |
1,108,101,564,120 | arxiv | \section{Introduction}
$2^K$ factorial designs involve $K$ factors each with two levels, often denoted as the ``high level'' and ``low level'' of the factor (Yates 1937, Fisher 1942). With $K$ factors, there are $2^K$ unique treatment combinations to which units can be assigned, and often the same number of units are ... |
1,108,101,564,121 | arxiv | \section{Introduction}
In higher dimensional complex dynamics, understanding the degree growth of a rational map under iteration is a fundamental and important
issue. Given any dominant rational map $f:\mathbb{P}^d\dashrightarrow\mathbb{P}^d$, one can define its $p$-th degree
$\deg_p(f):=\deg(f^{-1} L_p)$, where $L_p... |
1,108,101,564,122 | arxiv | \section{Introduction}
\label{sec:intro}
Toda field theories in two dimensions are described
by the characteristic exponential type interactions.
One can not naively apply ordinary quantization
procedure for them since there is no vacuum for finite
field configurations and the couplings between the
fluctuations a... |
1,108,101,564,123 | arxiv | \section{{Introduction}}
\label{secProtein}
Proteins are the most important organisms in a living cell. The function of a protein depends on the three dimensional native structure that it folds into in a particular environment. Knowledge about this native structure can have an enormous impact on the field of drug... |
1,108,101,564,124 | arxiv |
\section{Introduction}
\label{s:intro}
Deep convolutional approaches
have recently achieved
proficiency on
realistic semantic segmentation
datasets such as Vistas \cite{neuhold17iccv}
or Ade20k \cite{zhou17cvpr}.
This success has increased interest
in exciting real-world applications
such as auto... |
1,108,101,564,125 | arxiv | \section{Introduction}
The capacity of continuous-time Gaussian channels and the corresponding
capacity-achieving water-filling power allocation strategy over frequency
are well-known \cite{Gallager68}, and provide much insight and performance
targets for practical communication system design. These results implicitly... |
1,108,101,564,126 | arxiv | \section{Introduction}
Observations of thermal dust continuum emission (e.g., Kenyon \&
Hartmann 1987; Beckwith \& Sargent 1993; Kitamura et al. 2002) and, more
directly, images of light scattered from dust grains
(e.g., Roddier et al. 1996; Itoh et al. 2003; Duchene et al. 2004)
have revealed that young stellar obje... |
1,108,101,564,127 | arxiv | \section{Introduction}
In recent years extensive research has addressed challenges and
problems raised in mobile, sparse and intermittently connected
networks (i.e. DTN). In this case, forwarding packets greatly
depends on the occurrence of contacts. Since the existence of links
is crucial to deliver data from a... |
1,108,101,564,128 | arxiv | \section{Introduction}
Recent lattice simulations lead to many new theoretical insights into the dynamics of low-energy gluon modes~\cite{Juge:1997nc,Juge:2002br,Takahashi:2004rw,Luscher:2004ib,Cornwall:2004gi,Greensite:2001nx}. In the quenched approximation aspects of confinement emerge from studies of the gluoni... |
1,108,101,564,129 | arxiv | \section{Introduction}
\subsection{The model} In this work we seek to extend the analysis carried out by the second author in \cite{Pa}. Specifically, this paper is concerned with the stability properties of traveling/standing wave solutions to the $1+1$ dimensional $\phi^{4n}$-equation on the torus (see for example \... |
1,108,101,564,130 | arxiv | \subsection*{\centering Abstract}
{\em
A triangulation of a $3$-manifold can be shown to be homeomorphic to the
$3$-sphere by describing a discrete Morse function on it with only two critical
faces, that is, a sequence of elementary collapses from the
triangulation with one tetrahedron removed down to a single ... |
1,108,101,564,131 | arxiv | \section{Introduction}
Asymptotic analysis, the theory and practice of asymptotic estimates for various\,---\,often discrete\,---\,quantities, belongs to the main applications of the integral
calculus. An archetypal example is the Stirling formula $n!\sim\sqrt{2\pi n}(\frac{n}{e})^n$ where $n$ is in $\mathbb{N}=\{1,2... |
1,108,101,564,132 | arxiv | \section{Primordial vorticities?}
\label{sec1}
The observed Universe might originate from a strongly coupled electromagnetic plasma
existing prior to photon decoupling where the angular momentum transfer between
ions, electrons and photons in an expanding space-time geometry leads
to the formation of large-scale vor... |
1,108,101,564,133 | arxiv | \section{Introduction} \label{introduction}
The temperature fluctuations of the Cosmic Microwave Background radiation (CMB),
recently released by the {\em Planck collaboration}~\cite{PLA-I}, confirmed with outstanding precision the concordance cosmological model, $\Lambda$CDM~\cite{PLA-XV,PLA-XVI,WMAP9}.
Such exquis... |
1,108,101,564,134 | arxiv | \section{Introduction}
\IEEEPARstart{S}{uperconducting} devices are revolutionizing a wide range of research and technological fields including quantum computing \cite{Barends2014SuperconductingTolerance, Barends2016DigitizedCircuit, Ofek2016ExtendingCircuits, Gu2017MicrowaveCircuits}, nanowire single-photon detectors ... |
1,108,101,564,135 | arxiv | \section{Introduction}
Graphene is a 2-dimensional honeycomb lattice of single atomic
carbon layer and has a special band structures. With more and more
experimental discoveries and theoretical
predictions\cite{geim,zhang,zhang2,VPG1,peres,louie}, there is
currently a intense interest on electronic properties on the
g... |
1,108,101,564,136 | arxiv | \section{Introduction}
In the scenario of quantum systems, quantum indistinguishability of identical particles has been tested using the interference effect of a Hong-Ou-Mandel-type scheme \cite{HOM87}. It assumes that indistinguishable particles scatter independently, e.g., on a beam splitter and do not interact. O... |
1,108,101,564,137 | arxiv | \section{Introduction}
Chest pain is responsible for one of the highest rates of emergency hospital visits in industrialized countries~\cite{Sanchez2007} and accounts for a large proportion of hospital admissions.
Statistics show that around 75\% of patients who present at the Emergency Department with chest pain do ... |
1,108,101,564,138 | arxiv | \section{Introduction}
\label{sec:intro}
The effects of a stochastic primordial magnetic field on the CMB are many: spectral distortions of the monopole~\cite{Puy:1998sv,Jedamzik:1999bm}, the generation of scalar, vector and tensor perturbations in the metric affecting both the temperature and the polarization spectra... |
1,108,101,564,139 | arxiv | \section{Introduction}
These proceedings are based on our work~\cite{Delgado:2017cls}. The ATLAS and CMS experiments at CERN discovered a new scalar boson with the properties of the Standard Model (SM) one~\cite{Aad:2012tfa,Chatrchyan:2012xdj}, and an energy gap for any new physics~\cite{Khachatryan:2014jba, Aaboud:201... |
1,108,101,564,140 | arxiv | \section{Introduction}
Because it is supersonic, magnetized and develops in a multiphase
medium, interstellar turbulence is expected to differ from turbulence
in laboratory flow experiments or in state-of-the-art numerical
simulations, \eg\ \cite{chanal2000} for recent experiments in gaseous
helium and \cite{mininni20... |
1,108,101,564,141 | arxiv | \section{Introduction}
Although CO is the most abundant interstellar molecule after H$_2$, its
corresponding ion, CO$^+$, is expected to have very low abundance
in molecular clouds. The reason is that CO$^+$
is quickly converted into HCO$^+$ by reactions with H$_2$.
Only in the hot layers of photon-dominated regions (... |
1,108,101,564,142 | arxiv |
\part*{Auxiliary material}
\begin{figure}[hb!]
\includegraphics[width=0.8\linewidth]{Ranking_TTZ_final.pdf}
\caption{\label{fig:ranking_ttZData} The fitted values of the nuisance
parameters for the most important sources of systematic uncertainty and their
impact on the measured signal strength $\mu$... |
1,108,101,564,143 | arxiv | \section{Introduction}
\vspace{-1mm}
Nowadays, most competitive natural language processing systems are based on supervised machine learning. Despite the great successes obtained by those techniques, they unfortunately still suffer from important limitations. One of them is their sensitivity to domain shift: for exampl... |
1,108,101,564,144 | arxiv | \section{Introduction}
In astronomy data analysis (e.g. cosmological analysis), we often need to combine different data sets for joint analysis. In certain cases, the desirable quantity to extract from the joint data is the ratio of two data sets. We list several examples as follows. (1) The lensing ratio \citep{Jain2... |
1,108,101,564,145 | arxiv | \section{Introduction}
In classical linearized elasticity theory, a special role is played by
infinitesimal longitudinal homogeneous plane waves.
For such waves the amplitude vector
is parallel to the propagation direction $\mathbf{n}$ (say) so that all
the particles oscillate along that direction $\mathbf{n}$ and
th... |
1,108,101,564,146 | arxiv | \section{Introduction}
\smallskip
The main result of this paper shows that the
spectral action of Bianchi IX gravitational instantons
is arithmetic, in the sense that its asymptotic expansion
can be expressed in terms of rational combinations of (vector valued)
modular forms, which in turn can be explicitly related... |
1,108,101,564,147 | arxiv | \section{Introduction}
The advent of structured metamaterials has allowed the design of new
materials, with an unprecedented amount of control over their intrinsic
properties. These metamaterials are typically composite systems that consist of
two or more ordinary materials, that are periodically structured or arrange... |
1,108,101,564,148 | arxiv | \section{\large Introduction}
Multiple testing problems of the sequential or, more generally, multistage nature occur frequently in statistics. For example, in sequential fault detection and diagnosis \citep{Nikiforov95,Lai00}, after detecting that a change in the system has occurred at some time point, the task is to... |
1,108,101,564,149 | arxiv |
\section{Background}
In many settings, variables of interest maybe too expensive or too impractical to measure precisely on a large cohort. Generalized raking is an important technique for using whole population or full cohort information in the analysis of a subsample with complete data, \citep{deville1992calibration... |
1,108,101,564,150 | arxiv | \section{Introduction}
As e-commerce has emerged as an indispensable part of the retail sector, timely and efficient last-mile delivery solutions have materialized as its catalyst. A steady increase in the amount of e-commerce activities has been noted in numerous reports. An analysis by ACI Worldwide states that the t... |
1,108,101,564,151 | arxiv | \section{Technical Proofs}
\label{apx:technical-proofs}
\begin{proof}(Proposition~\ref{prop:unbiased})
Since $\{u^\star,v\} \in E'$, we have in the unweighted case that $\effresG{G_\star}{u^\star}{v}$ is the number of spanning
trees of $G_\star$ that contain $\{u^\star,v\}$ divided by the number of all spanning trees ... |
1,108,101,564,152 | arxiv | \section{Introduction}
Deep neural networks have recently enjoyed some success at modeling natural language \cite{mikolov2010recurrent, zaremba2014recurrent, kim2015character}. Typically, recurrent and convolutional language models are trained to maximize the likelihood of observing a word or character given the previo... |
1,108,101,564,153 | arxiv | \section{Introduction}
\label{sec:intro}
Traditionally, the design of industrial systems was based on an isolation model, where the control of the operational technology was separated from the information technology. Today, both operational and information technology are integrated. Industrial physical processes are co... |
1,108,101,564,154 | arxiv | \section{Introduction}
Low-Power Wide-Area Networks (LPWAN) form a new class of technologies providing massive connectivity for the Internet-of-Things (IoT).
LPWAN technologies focus on Ma\-chi\-ne-Type Communications (MTC), especially on lightweight sensor network applications.
The most prominent LPWAN technologies a... |
1,108,101,564,155 | arxiv | \section{Introduction}
Kinetic Brownian motion is a stochastic process that describes a stochastic perturbation of the geodesic flow and has the property that the perturbation affects only the direction of the velocity but preserves its absolute value. It has been studied in the past years by several authors in pure ma... |
1,108,101,564,156 | arxiv | \section{Introduction}
Marine vessels are a large contributor to global CO2 emissions\footnote{Global annual CO2 emissions due to shipping were estimated to be 938 million tonnes in 2012 \cite{imo-ghg3} and 831 million tonnes in 2015 \cite{johansson2017}. A single large ship can burn 40000 tons of fuel and produce 120... |
1,108,101,564,157 | arxiv | \section{Introduction}
Future wireless networks are featured by low latency and high reliability. Thus, machine learning (ML) embedded in each device is a ravishing solution that each user equipment (UE) has the capability to make decisions by its local data, even when it loses connectivity to the wireless system. Sinc... |
1,108,101,564,158 | arxiv | \section{\bf Definitions}
Multiplicity distributions (MD) of particles produced in high energy
collisions are the most typical and widely discussed characteristic of
the interaction dynamics. In a condensed form MD provide information about
the fluctuations of energy spent for multiple particle production during
a c... |
1,108,101,564,159 | arxiv | \section{Introduction}
\label{sec1}
\IEEEPARstart{H}{igh}-dimensional data samples emerged in computer vision fields could be viewed as generated from a union of linear subspaces \cite{art_1,RN2518,DBLP:conf/sigmod/AgrawalGGR98,DBLP:journals/tkdd/KriegelKZ09}. subspace clustering, whose goal is to partition the data ... |
1,108,101,564,160 | arxiv | \section{Introduction}
The study of derivations on C$^*$-algebras, which was started in 1953 by Kaplansky, had undergone several stages during its course: theory of bounded derivations, unbounded derivations and noncommutative vector-fields, according to \cite{B}. Originally motivated by research on dynamics in stat... |
1,108,101,564,161 | arxiv | \section{Introduction}\label{sec1}
Liquid-liquid phase separation (LLPS) has emerged as a fundamental mechanism by which eukaryotic cells organize themselves into membraneless compartments {called biomolecular condensates} that carry out important cellular functions \citep{brangwynne2009germline, hyman2014liquid, albe... |
1,108,101,564,162 | arxiv | \section{Introduction}
The properties of multi-electron systems can in principle be predicted by solving the interacting many-body Schr\"odinger equation. However, numerical solutions are only feasible for small systems consisting of a few interacting electrons due to the exponential scaling of the computational demand... |
1,108,101,564,163 | arxiv | \section{Introduction}
Modern cities are diverse in their spatial structure: some cities are monocentric, with a single center of business, retail and other types of activity, while some exhibit polycentric patterns in which multiple activity clusters are distributed across space~\cite{Giuliano1991,Mcmillen2001,Tsai200... |
1,108,101,564,164 | arxiv | \section{Introduction}
Non-extremal black holes in anti-de Sitter (AdS) spacetime have a crucial role to play in the AdS/CFT correspondence as dual to thermal states of a boundary conformal field theory (CFT) \cite{Maldacena:1997re}. The correspondence is best understood when the gravitational theory is a maximally s... |
1,108,101,564,165 | arxiv | \section{Introduction}
\textbf{\emph{Introduction.---}} The wave-particle duality is one of the core aspects of quantum mechanics. This tells us about a profound and, within classical intuitions, paradoxical behavior of nature by which a quantum system exhibits the property of being both a wave and a particle.
The wa... |
1,108,101,564,166 | arxiv | \section{Introduction}
Heisenberg's uncertainty principle is often considered as
one of the most important features of quantum theory.
In every text book on quantum theory one can find
its explanation proposed by
Heisenberg himself \cite{Heisenberg}
and its ``derivation" by Robertson \cite{Robertson}.
However, a... |
1,108,101,564,167 | arxiv |
\section{Memory Profile for models}
Word Embedding Layers: 69MB\\BiLSTM Layers: 9.5MB\\
Classification and tagging layers: 0.94MB
\section{Data Relabeling Strategies} \label{app:data_label}
In order to train models suitable for on-device NLU, we prepare different datasets to assist in training, evaluation and testin... |
1,108,101,564,168 | arxiv | \section{intrduction}
The study of the properties of interacting Dirac (or Weyl) fermions in (topological) semimetals under a magnetic field is a fundamental subject of the condensed matter physics \cite{Castro,Goerbig}. One of the physical themes is to investigate the orbital magnetization (OM) of the Dirac fermion... |
1,108,101,564,169 | arxiv | \section{Introduction}
Deep neural networks (NNs) display a rich and often-perplexing spectrum of generalization behaviors. Highly overparameterized NNs may possess the expressivity to fit random noise, yet in practice can still generalize well to unseen data \cite{zhang2021understanding,belkin2019reconciling}. The ab... |
1,108,101,564,170 | arxiv | \section{INTRODUCTION}
\label{sec:Intro}
The level of stellar activity is typically characterized by the radiation emitted in the X-ray and EUV bands, which is a measure of the temperature of the stellar atmosphere \citep[the stellar corona, see review by][]{gudel07}. The source of this radiation is the over a million... |
1,108,101,564,171 | arxiv |
\subsubsection{Determining the signal fraction in data\label{sub:sfrac}}
The signal fraction \ensuremath{f}\xspace is determined independently for the \ensuremath{e\!+\!{\rm jets}}\xspace and \ensuremath{\mu\!+\!{\rm jets}}\xspace channels directly from the selected data sample.
The likelihood depends explicitly on... |
1,108,101,564,172 | arxiv | \section{Introduction}
\label{Introduction}
A two--channel Kondo impurity in a metal is, perhaps, the most promising
impurity system to exhibit low temperature non--Fermi--liquid behavior
experimentally. This hope rests on the relatively few degrees of
freedom involved (a local spin doublet coupled to two degener... |
1,108,101,564,173 | arxiv | \section{Artifact Appendix}
\input{extendedAppendix}
\end{document}
\section{Artifact Appendix}\label{sec:artifact}
\begin{table*}\small\centering
\begin{threeparttable}[b]
\caption{Where artifact contents are hosted.}\label{tbl:artifact}
\renewcommand{\arraystretch}{1.1}
\begin{tabular... |
1,108,101,564,174 | arxiv | \section{Introduction} \label{sec_intro}
A tiny drop of magnetic fluid responds to magnetic fields in many ways -- it is
a "world in a nutshell". Typically 1\,$\tcmu$l of magnetic fluid (MF) contains
more than $10^{13}$ magnetic mono-domain particles, each with a diameter of around
$10$\,nm, which are suspended in a ca... |
1,108,101,564,175 | arxiv | \section{\label{sec1}Introduction}
Relativistic hadrodynamics (RHD) of interacting nucleons and mesons provide
a simple and successful tool for the theoretical description of different
nuclear systems such as nuclear matter, finite nuclei, heavy-ion collisions
and compact neutron stars~\cite{Serot:1984ey}. Startin... |
1,108,101,564,176 | arxiv | \section{Introduction}
\addtocounter{footnote}{1}
It has been established for more than a decade that there is a well
defined B luminosity-metallicity (L-Z) relation for dwarf irregular galaxies,
in the sense that the higher the metallicity, the higher the luminosity
of the dwarf galaxy \citep[e.g. ][]{skh89,rm95}, a... |
1,108,101,564,177 | arxiv | \section{Introduction}
The discovery of an astrophysical flux of high-energy neutrinos by IceCube~\cite{HESE2} is a major step
forward in the ongoing search for the origin of cosmic rays, since the neutrino emission may be produced
by hadronic interactions in astrophysical accelerators. Of particular interest is the... |
1,108,101,564,178 | arxiv | \section{Introduction}
Computer vision plays a major role in sports, beginning with an automatic semantic annotation of the observed scene to enhanced viewing experience.
One major research field in computer vision is the recognition of actions and activities in videos, with a special interest in actions and activit... |
1,108,101,564,179 | arxiv | \section{Introduction}\label{sec:introcuction}
A $\varphi$ junction~\cite{mints:1998,buzdin:2003} is a Josephson junction with {a doubly degenerate} ground state, in which the Josephson phase takes the values $+\varphi$ or $-\varphi$ ($0<\varphi<\pi$)~\cite{goldobin:2007}. This junction being closed into a ring is a... |
1,108,101,564,180 | arxiv | \section{Introduction}
Suppose $X_1, X_2, \ldots$ is a sequence of random variables. A classic problem in probability is to understand the limiting behavior of the sum
\begin{align*}
Y_n=X_1+X_2+\cdots +X_n.
\end{align*} Early versions of this problem, which consider the case when $X_1, X_2, \ldots$ are independent... |
1,108,101,564,181 | arxiv | \section{Introduction}
A well documented, stylized fact of the asymmetric volatility phenomenon (AVP) indicates that volatility on financial markets is higher (lower) following market downturns (upturns).\footnote{See for example \cite{black1976,christie1982stochastic,pindyck1984,french1987expected}} However, AVP is no... |
1,108,101,564,182 | arxiv |
\section{Introduction}
Semantic segmentation aims to predict, for each individual pixel in an image, a semantic category from a predefined set of labels.
Such a fine grained understanding of images finds numerous applications in aerial robotics \cite{demir2018deepglobe,chen2021_lc_mfanet,tong2020_lc_land,ref_beyond_rg... |
1,108,101,564,183 | arxiv | \section{Introduction}
For a curve $X$ of genus $g>1$ defined over a field $K$, the automorphism group $\Aut_K (X)$ is finite. In characteristic zero, it is well-known that one has the Hurwitz bound
$|\Aut_K(X)|\leq 84(g-1)$. In \cite{St}, the inequality $|\Aut_K(X)|< 16 g^4$ is seen to hold in positive chara... |
1,108,101,564,184 | arxiv | \section{Introduction}
\noindent
The production of heavy hadrons (H) in {$e^+e^-$}\chkspace annihilation provides a
laboratory for the study of heavy-quark (Q) jet fragmentation. This is
commonly characterised in terms of the observable
$x_{H}$ $\equiv$ $2E_H/\sqrt{s}$, where
$E_H$ is the energy of a $B$ or $D$ hadr... |
1,108,101,564,185 | arxiv | \section{Confinement Scale QCD and Chiral Dynamics}
\label{sec:intro}
At low energies the interaction between quarks and gluons is extremely
strong and leads to confinement, where approximate QCD solutions can be
obtained by an effective field theory known as chiral perturbation theory
(ChPT) or Chiral Dynamics\cite{b... |
1,108,101,564,186 | arxiv | \section{Introduction}
Typically around $50\%$ or more of the gas in spiral galaxies consists of H$_2$, inferred indirectly by CO or dust
emission. Since the discovery of dark molecular hydrogen \citep{grenier_unveiling_2005, langer_c+_2010,
planck_collaboration_planck_2011, paradis_dark_2012}, the estimated quanti... |
1,108,101,564,187 | arxiv |
\section{Unsupervised Lifting of 2D Pose to 3D Skeleton}
\section{Unsupervised 2D-3D Lifting}
\label{sect:algo}
In this section, we describe our unsupervised learning approach to lift 2D pose to a 3D skeleton. Let $\textbf{x}_i = (x_i,y_i), i = 1 \ldots N,$ denote $N$ 2D pose landmarks of a skeleton with the root joi... |
1,108,101,564,188 | arxiv | \section{Introduction
We start this paper with an intuitive idea in general terms.
Consider the optimal control problem
\begin{equation*}\boxed{
\begin{split}
& \inf \frac{1}{T}\int_0^Tf^0(y(t),u(t))\,dt,\\
& \text{subject to}\;\; \dot{y}(t)=f(y(t),u(t)), \quad t\in[0,T], \\[2mm]
\end{split}}
\end{equation*}
under so... |
1,108,101,564,189 | arxiv | \section{Introduction}
\subsection{Background and motivation}
The problem of finding Kähler-Einstein metrics has been central in the development of Kähler geometry, leading to the solution by Chen-Donaldson-Sun of the celebrated Yau-Tian-Donaldson conjecture \cite{CDSa, CDSb, CDSc}. While the problem is well understoo... |
1,108,101,564,190 | arxiv | \section{Introduction}
Let $n\in {\rm I\hspace{-0.2em}N}$ with $n\ge 2$ and suppose $\Omega$ is a bounded, open set in ${\rm I\hspace{-0.2em}R}^{n}$ with locally Lipschitz boundary $\partial\Omega.$
Fix $H\in C^{2}\left({\rm I\hspace{-0.2em}R}^{n}\times{\rm I\hspace{-0.2em}R}\right)$ such that $H$ is bounded... |
1,108,101,564,191 | arxiv | \section{Introduction}
Dexterous robotic manipulation is essential in many industrial and domestic settings. Traditional robotic manipulation controllers often rely on solving inverse kinematic equations \cite{manipulation-review}. The goal of this approach is to find the robotic joint angle time course to move the end... |
1,108,101,564,192 | arxiv | \section{Introduction}
The classical large sieve inequality asserts that
\begin{equation*}
\sum\limits_{q\le Q} \sum\limits_{\substack{a=1\\ (a,q)=1}}^{q} \left|\sum\limits_{n\le N} a_n \cdot e\left(n\cdot \frac{a}{q}\right)\right|^2 \ll \left(Q^2+N\right)\sum\limits_{n\le N} |a_n|^2
\end{equation*}
for any $Q,N\ge 1... |
1,108,101,564,193 | arxiv | \section{Preliminaries}\label{sec:pre}
In this section, we state some useful facts in both design theory and group theory. Recall that a group $G$ is called almost simple if $X\unlhd G\leq \mathrm{Aut}(X)$, where $X$ is a nonabelian simple group. If $H$ is a maximal subgroup not containing the socle $X$ of an almost s... |
1,108,101,564,194 | arxiv | \section{Methods}
Many machine learning schemes have been used to link structures and properties~\cite{VonLilienfeld2013, fabe+17jctc}, including more or less sophisticated neural networks~\cite{bhol+07nimpr, behl11jcp, Chmiela2017, smit+17cs, Zhang2018}.
Based on the few comparative studies that have appeared in the... |
1,108,101,564,195 | arxiv | \section{Introduction}
Over the past two decades, the model space of WIMP-like dark matter (DM) has expanded dramatically. While canonical WIMPs with TeV-scale masses remain an attractive class of models, great attention has turned to sectors with a broader range of interactions and lighter states. The cosmological evo... |
1,108,101,564,196 | arxiv | \subsubsection*{\bibname}}
\usepackage[colorlinks=true,linkcolor=blue, citecolor=blue]{hyperref}
\usepackage{url}
\usepackage{booktabs}
\usepackage{amsfonts}
\usepackage{nicefrac}
\usepackage{microtype}
\usepackage{xcolor}
\usepackage{mathtools}
\usepackage{graphicx}
\graphicspath{{... |
1,108,101,564,197 | arxiv |
\section{Introduction}
Recommender systems (RS) have been applied successfully in many domains to help users find interesting items and avoid the problem of information overload. Examples of RS include: Amazon, where customers can use recommendations from the system so they can find desirable products easier; Netflix,... |
1,108,101,564,198 | arxiv | \section{Introduction}
Tungsten (W) is one of the most important constituents of tokamak reactor walls \cite{putt}. Additionally, it radiates strongly over almost all ionisation stages. For example, the most intense emission lines of W ions \cite{putt} are from W~XXII to W~L in the VUV to the soft x-ray regi... |
1,108,101,564,199 | arxiv | \subsection{The notion of viscosity solution}
\subsubsection{Viscosity solutions in Jet spaces}
The cortical model previously discussed, associates to each 2D curve $\gamma_{2D}$ its orientation. This procedure can be considered as a lifting of the initial image $I(x,y)$ to a
new function $u$ in the Jet-space $\mathbb... |
1,108,101,564,200 | arxiv | \section*{Abstract (Not appropriate in this style!)}%
\else \small
\begin{center}{\bf Abstract\vspace{-.5em}\vspace{\z@}}\end{center}%
\quotation
\fi
}%
}{%
}%
\@ifundefined{endabstract}{\def\endabstract
{\if@twocolumn\else\endquotation\fi}}{}%
\@ifundefined{maketitle}{\def\maketitle#1{}}{}%
\@ifund... |
1,108,101,564,201 | arxiv | \section{Introduction}
Historically, the theory of error-correcting codes has benefited greatly
from the use of techniques from algebra and algebraic geometry. Combinatorial
and graph-theoretic methods have also proven to be useful in the
construction and analysis of codes, especially within the last ten
years since... |
1,108,101,564,202 | arxiv | \section{Introduction}
\medskip
In recent years we have witnessed significant theoretical and some
encouraging experimental results in the area of quantum
computing. In $1994$, Peter Shor found a polynomial time algorithm
for the factorization of $n$-bit numbers on quantum computers
\cite{Shor94}. His discovery gener... |
1,108,101,564,203 | arxiv | \section{Introduction}
\label{sec:intro}
High velocity clouds (HVCs) are clouds of gas whose speeds differ substantially from the local standard of rest (LSR). The minimum speed in the LSR reference frame is classically defined as $\lvert$v\subscript{LSR}$\rvert$~=~90~km~s\superscript{-1}, but it should be noted
tha... |
1,108,101,564,204 | arxiv | \section{Introduction}
The LHCb experiment at the LHC has been taking pp collision data in 2011 and 2012 at $\sqrt{s}=$7 and 8 TeV respectively, integrating a luminosity in
excess of 3~fb$^{-1}$. The large (several hundred microbarns) production
cross sections and efficient trigger strategies allow to collect unprec... |
1,108,101,564,205 | arxiv | \section{Introduction}
\subsection*{Motivation} This paper is a contribution to the new emerging field of convex semi-algebraic geometry,
and its purpose is threefold: First we show that the
moment approach for global polynomial optimization proposed in \cite{lasserre1},
and based on semidefinite programming (SDP), ... |
1,108,101,564,206 | arxiv | \section{Introduction}}
\IEEEPARstart{O}{ptical flow}, which refers to the point correspondence across a pair of images, is induced by the spatial motion at any image position. Due to the well-known aperture problem, optical flow cannot be directly measured. The partial observability of optical flow is the major reason... |
1,108,101,564,207 | arxiv | \section{Direct detection of neutralino dark matter}
The identification of dark matter (DM) is one of the most urgent questions
in astroparticle physics. For many decades, evidence for its sizeable
presence in the Universe and its important role in structure formation has
been accumulating, and the overall relic densi... |
1,108,101,564,208 | arxiv | \section{Introduction}\label{sec:intro}
\begin{figure}\label{fig:bumpSummary}
\centering
\includegraphics{bumpAttractorIntro}
\caption{(a) Bifurcation diagram of travelling waves in a continuous
integrate-and-fire model. (b) Bump attractor in a discrete integrate-and-fire
model with 5000 neurons (dots r... |
1,108,101,564,209 | arxiv | \section{Introduction}
Mesh patterns were introduced by Br\"and\'en and Claesson in \cite{branden claesson} to generalize many existing varieties of permutation patterns, including classical patterns (brought to prominence in \cite{simion schmidt}), vincular patterns (see \cite{babson steingrimsson, steingrimsson}), b... |
1,108,101,564,210 | arxiv | \section{Introduction}
\label{se:Introduction}
A magnetic skyrmion is a nanometric magnetic domain wall structure of which the spin configuration is swirling in the planar space and would wrap a unit three-dimensional spherical surface with spins pointing in all directions in the compactification of the planar spac... |
1,108,101,564,211 | arxiv | \section{Invitation: Matter matters in quantum gravity}
\subsection{Motivation: Why matter matters}
There are two reasons why matter\footnote{By matter we mean all non-gravitational degrees of freedom, including the scalar, fermionic and gauge fields of the Standard Model as well as potential beyond-Standard-Model fiel... |
1,108,101,564,212 | arxiv |
\section{Method}\label{sec:method}
\vspace{-0.1cm}
\begin{figure*}
\vspace{0.2cm}
\centering
\includegraphics[page=2,width=0.9\textwidth]{srcs/images/dc_overview.pdf}
\caption{{\it ACDC-Net}~processes the initial depth map, guide image and rasterised 3D landmarks using three instances of the same bac... |
1,108,101,564,213 | arxiv | \section{Introduction}
Convolutional neural networks (CNNs) have been widely used in various computer vision tasks, such as image classification~\cite{resnet}, object detection~\cite{Ren2015Faster} and visual segmentation~\cite{long2015fully}. These neural networks are often of heavy design with massive parameters and... |
1,108,101,564,214 | arxiv | \section{Introduction}\label{sec.I}
Chaotic billiards are fundamental paradigms in statistical physics and
nonlinear dynamics. By connecting dynamics with geometry, billiards serve
as models to address numerous questions ranging from the foundations of the ergodic
hypothesis~\cite{sinai2,stadium2} and the description ... |
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