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1,941,325,220,888 | arxiv | \section{Derivation heat equation}\label{ap2:derivation}
To find the heat equation Eq.~(\ref{eq:heatequation}),
we follow Ref.~\cite{groot1962non} and define the local specific internal energy $u\equiv U/\varrho V_{\rm el}$ as the energy associated with thermal agitation and all short ranged (nonelectrostatic) particl... |
1,941,325,220,889 | arxiv | \section{Introduction}
\label{intro}
The time dependent, cyclic evolution of the internal parameters of a quantum system can lead to the accumulation of a geometric phase that depends solely on the path traversed in parameter space and not on the duration of the cycle itself \cite{Berry1984a}. This geometric phase mani... |
1,941,325,220,890 | arxiv | \section{Introduction}
\label{intro}
Strong coupling studies of lattice 2-d principal
chiral models, with the standard nearest-neighbour interaction
\begin{equation}
S_L = -2 N \beta \sum_{x,\mu}
{\mathop{\rm Re}}{\mathop{\rm Tr}}\left[ U(x)\,U^\dagger(x{+}\mu)\right]\;,
\;\;\;\;\;\;\;\;\;\;\;\;\;\beta\;=\;{1\over NT}... |
1,941,325,220,891 | arxiv | \section{Introduction}
Black holes, regions with very strong gravity from which not
even light can escape, are one of the most fascinating theoretical
predictions of Einstein's general
relativity~\cite{Einstein1916}. The first exact solution to
this theory was almost immediately found by Schwarzschild
\cite{Sch... |
1,941,325,220,892 | arxiv | \section{Introduction}
\label{sec1}
ImageNet pretraining is a dominant paradigm in computer vision. As many vision tasks are related, it is expected a deep learning model, pretrained on one dataset, to help another downstream task. It is now common practice to pretrain the backbones of object detection~\cite{he2019reth... |
1,941,325,220,893 | arxiv | \section{Introduction}
One of the fundamental problems in chemistry is the computation of the ground state energy of a many-body quantum system. Although this major difficulty has been circumvented to some extent by the density-functional theory \cite{Kohn1965}, the quantum Monte
Carlo (QMC) method \cite{anderson1975... |
1,941,325,220,894 | arxiv | \section{Introduction}
The improved Poincar{\'e} inequality for the gradient developed in \cite{hurri1994} has been recently proved in \cite{jiang2014} to be equivalent to the solvability of the divergence equation, that is, to the validity of the Babu\v{s}ka-Aziz inequality for the divergence on a general class of do... |
1,941,325,220,895 | arxiv | \section{Introduction}
Attitude estimation has been widely studied with various filtering approaches and assumptions~\cite{CraMarJGCD07}. One of the biggest challenges is that the attitude dynamics evolve on a compact, nonlinear manifold, namely the special orthogonal group. The attitude is often parameterized by cer... |
1,941,325,220,896 | arxiv | \section{Introduction}\label{sec1}
Evolutionary algorithms are heuristic search methods inspired by biological evolution \cite{Vikhar}.
Although evolutionary algorithms have long been verified to be effective and efficient in empirical studies, rigorous analyses about these algorithms did not emerge until the lat... |
1,941,325,220,897 | arxiv | \section{Introduction}
In this note we are interested in cancellations in sums of multiplicative functions. It is well known that
$$
M(x) := \sum_{n \leq x} \mu(n) = O(x^{1/2 + \varepsilon})
$$
is equivalent to the Riemann Hypothesis. On the other hand
it is also a classical result
that $M(x) > x^{1/2 - \vare... |
1,941,325,220,898 | arxiv | \section{Omitted proofs from Section~\ref{sec:composition}}
\label{app:composition}
Given a 2-universal family of functions $H = \{h:X \to \{0,1\}^m\}$, a mechanism $M$ and adversary $\adv$, we construct a new randomized mechanism $M_H$ and new adversary $\adv_H$.
The following lemma relates the success probability of... |
1,941,325,220,899 | arxiv | \section{Introduction}
Automatic Speaker Verification (ASV) has become an increasingly attractive option for biometric authentication.
Past research has shown that ASV systems are subject to malicious attacks: the presentation attacks.
Presentation attacks, or spoofing attacks, refer to attempts of by... |
1,941,325,220,900 | arxiv | \section{Introduction}
Quasi-Monte Carlo (QMC) sampling has gained increasing popularity in numerical integration over the unit cube $[0,1]^d$ (see, e.g., \cite{lecu:2009, dick:2010, dick:2013}). It is known that functions with finite variation in the sense of Hardy and Krause can be integrated with an error of $O(n^{-... |
1,941,325,220,901 | arxiv | \section*{Introduction}
Let $A$ be a finite-dimensional Hopf algebra over a field $\Bbbk $ of characteristic zero such that the coradical $H$ of $A$ is a
sub-Hopf algebra (i.e. $A$ has the dual Chevalley Property). Denote by $\mathcal{D}\left( A\right)$ the diagram of $A$. The main aim of this paper (see Theorem ... |
1,941,325,220,902 | arxiv | \section{Introduction}
The lattice Boltzmann method (LBM), which is developed from the lattice gas automata (LGA)\cite{HPP,FHP,Humieres1986,Succi1989,higuera1989a,higuera1989b,succi2001lattice} and considered as a powerful discrete scheme of the continuum Boltzmann equation\cite{he1997theory}, has attracted considerabl... |
1,941,325,220,903 | arxiv | \section{Introduction}
\IEEEPARstart{E}{stimation} of optical flow is a computationally intensive task. Modern artificial systems achieve ever higher accuracy on the task at the expense of more complex algorithms and more powerful computing hardware such as GPUs. On the other hand, many biological systems are able to e... |
1,941,325,220,904 | arxiv | \section{Introduction}
Inspired by some aspects of string theory and loop quantum gravity,
\emph{fuzziness} of spacetime can be expressed using the following
relation for non-commutativity of coordinate operators[1,2]
\begin{equation}
[\hat{x}^i,\hat{x}^j]=i\theta^{ij}
\end{equation}
where $\theta^{ij}$ is a rea... |
1,941,325,220,905 | arxiv | \section{Introduction}
Several types of galactic VHE gamma-ray sources like pulsar wind nebulae (PWNe) and supernova remnants (SNRs) have been detected to date but none so far in the vicinity of a globular cluster. Globular clusters are old stellar systems which exhibit very-high stellar densities in their cores. This... |
1,941,325,220,906 | arxiv | \section{Introduction}
Smith-Purcell radiation (SPR) arriving while a charged particle moves in the vicinity of the periodically deformed surface is widely used or planned to be used both for new Free Electron Laser (FEL) schemes~\cite{Walsh_FEL, Andrews0, Andrews, 5} including new terahertz sources~\cite{3,4,Prokop} ... |
1,941,325,220,907 | arxiv | \section{Introduction}
\label{intro}
Micro-expression, a very brief and involuntary form of facial expressions occurring when people want to conceal one's true feelings, usually lasts between 0.04s to 0.2s \cite{Ekm2009}.
Automatic micro-expression analysis involves micro-expression spotting and micro-expression recogn... |
1,941,325,220,908 | arxiv | \section{Introduction}
Transportation effects driven by anomalies in chiral systems have attracted large interest recently. They can by induced by external magnetic field like in the Chiral Magnetic Effect(CME) , where electric current is generated along the magnetic field due to the presence of axial chemical potenti... |
1,941,325,220,909 | arxiv | \section{Introduction}
In a landmark agreement of general relativity and quantum field theory
(known as quantum gravity theory) Hawking \cite{Haw1} predicted that a black
hole (BH) could emit a blackbody like radiation which is the so-called
Hawking radiation (HR). In fact, HR asserts that any (not naked) BH, due... |
1,941,325,220,910 | arxiv | \section{Introduction}
\indent
Several years ago, much attention was paid to the study of $q$-deformation
of the Virasoro algebra \cite{CZ}-\cite{disc}. The $q$-deformed Virasoro
algebra was first introduced by Curtright and Zachos (CZ) as a
deformation for both commutators and structure constants \cite{CZ}. Some
othe... |
1,941,325,220,911 | arxiv | \section{Introduction}
Consider the following linear system,
\begin{equation}
\label{I1.1} Ax=b,
\end{equation}
where $A\in \mathbb{R}^{n\times n}$ is a nonsingular matrix, $b\in \mathbb{R}^{n\times 1}$ is a given vector and
$x\in \mathbb{R}^{n\times 1}$ is an unknown vector.
In order to solve (\ref{I1.1})... |
1,941,325,220,912 | arxiv | \section{Introduction}
As known, given an element $f\in\mc H$ and a sequence of elements $\{f_n\}_{n\in\mathbb N}$ in a Hilbert space $\mc H$ endowed of the inner product $\ip{\cdot}{\cdot}$, the sequence $a_n:\mathbb N\rightarrow\mathbb C$, $a_n:=\ip{f}{f_n}$ is called {\it moment sequence} -briefly \textit{moments}-... |
1,941,325,220,913 | arxiv | \section{Introduction}
The task of video object matting is to compute temporal coherent alpha mattes for a foreground video object at each frame. It is a fundamental task for many video editing applications, \textit{e.g.}~compositing the foreground object into new background videos. The resulting alpha mattes represen... |
1,941,325,220,914 | arxiv | \section{Introduction}
\label{sec:1}
Supersymmetric models with conserved $R$-parity
contain one new stable particle which is a candidate for cold dark matter
(CDM) \cite{EHNOS}.
There are very strong constraints, however, forbidding the existence of stable or
long lived particles which are not color and electrically ... |
1,941,325,220,915 | arxiv |
\section{Introduction}
Learning a task-relevant metric among samples is a common application of machine learning, with use in retrieval, clustering, and ranking. A classic example of retrieval is in visual recognition where, given an object image, the system tries to identify the class based on an e... |
1,941,325,220,916 | arxiv | \section{Introduction}
For an infinite sequence of real-valued random variables $(X_1,X_2,\ldots)$, let
\begin{equation}
K_n=K_n(X_1,\ldots,X_n):=\#\{X_i:1\leq i\leq n\},
\end{equation}
the number of distinct values appearing in the first $n$ terms. This article focuses on the case in which the sequence $(X_1,X_... |
1,941,325,220,917 | arxiv | \section{Introduction}\label{sec:intro}
This paper attends to the Minimum Dominating
Set (MDS) problem, an intensively
studied graph theoretic problem in computer science in general,
as well as in distributed computing.
A dominating set~$D$ in a graph~$G$ is a set of vertices
such that every vertex of~$G$ either lie... |
1,941,325,220,918 | arxiv |
\section{Distortions from Channel and Hardware}
\label{sec:improve}
\begin{figure*}
\centering
\begin{subfigure}[b]{0.23\textwidth}
\includegraphics[width=\textwidth]{Figures/Channel_mag.pdf}
\caption{Actual Channel (Mag)}
\label{fig:channel_m}
\end{subfigure}
\quad
\begi... |
1,941,325,220,919 | arxiv | \section{Introduction} \label{sec:1}
A long-standing problem of high energy theoretical physics is the formulation of a fundamental theory unifying the four interactions. Superstring theory in ten dimensions and M-theory in eleven seem to provide a promising theoretical framework where this unification could be achieve... |
1,941,325,220,920 | arxiv | \section{Introduction}
\appendices
\section{Additional Visual Results on Shape Part Segmentation}
In this section, we put more visual results of our method on the downstream shape part segmentation. We simply employ the Linear Classifier setting for this downstream task. Figure \ref{fig:pa... |
1,941,325,220,921 | arxiv | \section{Introduction}\label{sec:intro}
Quantum error correction (QEC) is essential to building a scalable and fault-tolerant quantum computer \cite{lidar2013quantum,gaitan2013quantum}. Although the theory of QEC has been developing since the 1990s and is now well established for the circuit model of quantum computatio... |
1,941,325,220,922 | arxiv | \section{Introduction}
The gauge/gravity duality (also known as AdS/CFT correspondence) relates the physics of a gravitational theory in an asymptotically anti de Sitter (AdS) background to the physics of a conformal field theory (CFT) at the AdS boundary \cite{Maldacena1998}. This elegant discovery is the primary mo... |
1,941,325,220,923 | arxiv |
\section{Introduction}
\label{sec:intro}
In recent years, a number of studies presented direct or indirect detections of planets embedded in protoplanetary disks~\citep[e.g.,][]{Keppler_2018, Pinte_2018, Teague_2018}, indicating that planet formation is a fast process. In the core accretion paradigm, micron-sized pa... |
1,941,325,220,924 | arxiv |
\section{Introduction}\label{sec:intro}}
\input{tex/intro.tex}
\section{Motivation and Example Data} \label{sec:motiv}
\input{tex/motiv.tex}
\section{Related Work} \label{sec:rel}
\input{tex/rel.tex}
\section{Tasks for Binned 2D Data} \label{sec:tasks}
\input{tex/tasks.tex}
\section{Design Space} \label{sec:desig... |
1,941,325,220,925 | arxiv |
\subsection[2][\subsectiontoc]{%
\def\subsectiontoc{#2}%
\oldsubsection[#1]{\boldmath #2}%
}
\let\oldsubsubsection\subsubsection
\renewcommand\subsubsection[2][\subsubsectiontoc]{%
\def\subsubsectiontoc{#2}%
\oldsubsubsection[#1]{\boldmath #2}%
}
\newcommand{\tmop}[1]{\ensuremath{\operatorname{#1}}}
\newcomman... |
1,941,325,220,926 | arxiv | \section{Introduction}
Topological phases of matter have been a topic of great interest in condensed matter physics since the discovery of the integer quantum Hall effect \cite{vonKlitzing:1986}. They are characterized by transport properties -- such as a quantized Hall conductivity -- that depend on the topological s... |
1,941,325,220,927 | arxiv | \section{Introduction}
\label{sec:intro}
Many European countries impose temporary driving bans for heavy vehicles.
Driving may be restricted during the night, on weekends, and on public holidays.
Such bans may apply to the whole road network of a country or parts of it.
When routing a heavy vehicle from a source to a... |
1,941,325,220,928 | arxiv | \section{Introduction}
\label{intro}
Heavy quarks, mostly charm and bottom at RHIC energies, are produced via gluon fusion in the early stage of heavy-ion collisions.
Therefore, they are good tools to study the evolution of medium produced in heavy-ion collisions.
Due to their large masses, heavy quark production is n... |
1,941,325,220,929 | arxiv | \section{I. Introduction}
Rare-earth (RE) doped solids have gained considerable interest from quantum communication~\cite{GisinRMP2011} and quantum information processing community~\cite{Thiel2011} due to exceptionally long coherence time of their spin~\cite{Sellars2015,Sellars2018} and optical degrees of freedom~\cit... |
1,941,325,220,930 | arxiv | |
1,941,325,220,931 | arxiv | \section{Introduction}
\label{s-intro}
Since \cite{Bloch} we know that the generic point, considered as a zero-cycle, plays an important role in the study of algebraic cycles on a smooth projective variety $X$ over a field $k$, because it can be considered as a specialization of the diagonal carrying the motivic in... |
1,941,325,220,932 | arxiv | \section*{Proof of Theorem \ref{ThmMain} and Proposition \ref{PropInC}}
We use the $\overline{\partial}$-Neumann problem in the proof of Theorem \ref{ThmMain}.
Let $\Omega$ be a bounded pseudoconvex domain in $\mathbb{C}^n$ and
$\Box^{\Omega}=\overline{\partial}\dbar^*+\overline{\partial}^*\overline{\partial}$ be defi... |
1,941,325,220,933 | arxiv | \section{Introduction}
Relativistic flows are likely to be encountered in accretion discs around compact objects like
neutron stars and black holes, astrophysical jets, Gamma Ray Bursts (GRBs) etc. A fluid is said to be relativistic
if the bulk speed of the plasma is comparable to the speed of light ($c$), or if i... |
1,941,325,220,934 | arxiv | \section{Method}
\label{sec:method}
\paragraph{Setup.} We consider an NLP task (sentiment analysis) consisting of data $\mathcal{X}$ and labels $\mathcal{Y}$ (positive, negative). There exist two different distributions, called the source domain $\mathcal{D_S}$ and the target domain $\mathcal{D_T}$ over $\mathcal{X} ... |
1,941,325,220,935 | arxiv | \section{Introduction}\label{sec:intro}
In many open quantum system approaches, the microscopic model underlying the environment consists of an infinite number of harmonic oscillators linearly coupled to system degrees of freedom \cite{weiss2008,may2011,mukamel1995}.
The flexibility of this particular model is owed to ... |
1,941,325,220,936 | arxiv | \section{Introduction}
The context and the notations are those of \cite{FK}.
Let $\Omega$ be an irreducible symmetric cone of rank r in a vector
space $V$ of dimension n, endowed with an inner product $(.|.)$
for which $\Omega$ is self-dual.
We recall that $\Omega$ induces in $V$ a structure of Euclidean
Jo... |
1,941,325,220,937 | arxiv | \section{Introduction}
In the determination of the parton distribution functions (PDFs) of the proton from fitting
to the available deep-inelastic and related hard-scattering data, a long-standing question
is the extent to which the limitations of a fixed form of the input parameterisations
affect the best fit and ... |
1,941,325,220,938 | arxiv | \section{Background}
\label{sec:back}
\subsection{Deep Neural Networks}
In this work, we focus on deep learning models, e.g., deep neural networks (DNNs) for classification.
We introduce a conceptual deep neural network (DNN) as an example in Fig.~\ref{fig:dnn} for simplicity and remark that our approach is applica... |
1,941,325,220,939 | arxiv | \section{Introduction}
\section{Introduction}
\medskip
\subsection{Arctic phenomenon}
Geometrically constrained two-dimensional statistical models are known to display the so-called arctic phenomenon in the presence of suitable boundary conditions. This includes ``free fermion" dimer models, where typically dimers cho... |
1,941,325,220,940 | arxiv | \section{Introduction}
\label{sec1}
The long gluino lifetime is a trademark of Split Supersymmetry\
\cite{savas,split,noi4}. The experimental discovery of a
slowly--decaying gluino~\cite{gluino} would not only be a strong
indication for {Split Supersymmetry}, but it would also allow for a measurement of
the effective... |
1,941,325,220,941 | arxiv | \section{Introduction}
Recent discoveries of numerous exoplanets have been revealing the diversity of planetary systems \cite[e.g.][]{Marois2008}. However, the origin of such variety is still uncertain.
Planets should have formed in the protoplanetary disks and it is essential to
understand their evolution in order to... |
1,941,325,220,942 | arxiv | \section{Introduction}
Superstring theory is a promising candidate of the unified theory.
Lacking for the dynamical principle
determining the true string vacuum,
many efforts have been devoted to construct
semi-realistic string models directly in four dimensions.
The physical content turns out to be rich enough that
... |
1,941,325,220,943 | arxiv | \section{Introduction}
\iffalse
Large Language Models (LLMs) are the current dominant force in natural language processing, such as the ground-breaking GPT-3 model \citep{https://doi.org/10.48550/arxiv.2005.14165} up to 175 billion parameters. As these models approach astronomically large sizes, their required comput... |
1,941,325,220,944 | arxiv | \section{Introduction}
Understanding the origin of life on Earth is one of the most challenging problems in astrophysics in the framework of astrobiology. To shed light on this complex topic, it is absolutely needed a comprehensive study of the chemical complexity of the interstellar medium (ISM) that feeds the format... |
1,941,325,220,945 | arxiv | \section{Introduction}
The superconductivity of the quaternary transition metal oxyphosphides LaFePO ($T_c$~=~3.2~K)
and LaNiPO ($T_c$ = 3.0 -- 4.3 K) was discovered recently\cite{Kamihara06,Watanabe07,Tegel08}
although these compounds have
been under study for more than ten years.~\cite{Zimmer95} In spite of the r... |
1,941,325,220,946 | arxiv | \section{Introduction}
In an algebra $\Afr$, the {\em commutator} of $B,C\in\Afr$ is $[B,C]=BC-CB$, and we denote by $\Comm(\Afr)\subseteq\Afr$
the set of all commutators.
A {\em trace} on $\Afr$ is by definition a linear functional that vanishes on $\Comm(\Afr)$.
The algebra $M_n(k)$ of $n\times n$ matrices over... |
1,941,325,220,947 | arxiv | \section{Introduction}
Whether or not strong dynamics ultimately explains the hierarchy problem, theories that exhibit confinement are undoubtedly the most elegant way to generate large hierarchies of scales \cite{Gross:1973id,Politzer:1973fx}. In the context of the standard model, there is the unfortunate reality th... |
1,941,325,220,948 | arxiv | \section{Introduction}
\label{sec:intro}
In his lucid 2015 book {\it Questions About Elastic Waves} \cite{Engl15}, Engelbrecht asks ``What is a wave?'' and answers ``As surprising as it may sound, there is no simple answer to this question.'' Indeed, the definition of `wave' depends on the physical context at hand \ci... |
1,941,325,220,949 | arxiv | \section{Introduction}
\par Communication privacy is important. In IP networks, based on the source and destination IP addresses, an adversary can track interactions and interaction patterns, revealing personal data about the users. Therefore, practical mechanisms have been developed to enhance user privacy via unlinka... |
1,941,325,220,950 | arxiv | \section{Introduction}
\label{sec:intro}
In video surveillance and automotive systems, fisheye cameras~\cite{miyamoto1964fel} that possess an ultra wide field of view (FOV) of 180 degrees and beyond are often employed.
With such an FOV, a single camera is able to capture the entire hemisphere it is facing and thus... |
1,941,325,220,951 | arxiv |
\section{Introduction}
\IEEEPARstart{I}{mage} classifiers using deep neural networks demonstrate a high level of performance \cite{hu2018squeeze,simonyan2014very}, but they lack human interpretability; they provide accurate classification results but the reasoning behind them is not accessible.
This black-box proper... |
1,941,325,220,952 | arxiv | \section{Introduction}
The image of the world offered by quantum mechanics leaves us with a dizziness. It is hard to make sense of the discreteness and the indetermination revealed by the theory. Different reactions to this vertigo lead to different ways of understanding what the theory tells us about reality, namely... |
1,941,325,220,953 | arxiv |
\section{Introduction}
3D reconstruction is one of the fundamental problems of computer vision and a cornerstone of augmented and virtual reality.
Concurrently with steady progress towards real-time photo-realistic rendering of 3D environments in game engines,
the last few decades have seen great strides towards pho... |
1,941,325,220,954 | arxiv | \section{}
During the past several years, a variety of experiments ranging from NMR
\cite{martindale,itoh} and penetration depth \cite{hardy} studies to ARPES \cite{shen,ding} and
Josephson phase interference measurements \cite{wohlman,tsuei} have provided clear
evidence for $d_{x^2-y^2}$-pairing in the high $T_c$ cup... |
1,941,325,220,955 | arxiv | \section{Introduction}
The relativistic direct interaction theory arises from the
expectation that the dynamics of an interacting particle system can
be constructed in a consistent Poincar\' e-invariant way without
introducing the notion of the field as an independent object with
its own degrees of freedom \cite{[1],[... |
1,941,325,220,956 | arxiv | \section{Introduction}
\label{sect:intro}
Recently many reading comprehension datasets like HotpotQA~\cite{yang2018hotpotqa} and WikiHop~\cite{welbl2018constructing} that require compositional reasoning over several disjoint passages have been introduced.
This style of compositional reasoning, also referred to as mult... |
1,941,325,220,957 | arxiv | \section*{Abstract}
Recently, the Whitham and capillary-Whitham equations were shown to accurately model the evolution of surface waves on shallow water~\cite{Trillo,bidWh}. In order to gain a deeper understanding of these equations, we compute periodic, traveling-wave solutions to both and study their stability. We ... |
1,941,325,220,958 | arxiv | \section{Introduction}
In the framework of the perturbative QCD, in the Regge kinematics,
particle interaction is described by the exchange of reggeized gluons
which emit and absorb real gluons with certain production vertexes
("Lipatov vertexes')~\cite{bfkl}. Pomeron interaction leads to their
splitting. Emission of ... |
1,941,325,220,959 | arxiv | \section{\@startsection {section}{1}{\z@}%
\def{\bf R}{{\bf R}}
\def{\bf S}{{\bf S}}
\def{\bf C}{{\bf C}}
\def\AdS#1{AdS$_{#1}$}
\def\({\left(}
\def\){\right)}
\def\[{\left[}
\def\]{\right]}
\def\ZF#1{{\color{LimeGreen}{ [#1]}}}
\def\DM#1{{\color{red}{ [#1]}}}
\def\EM#1{{\color{orange}{ [#1]}}}
\title{T... |
1,941,325,220,960 | arxiv | \section{Introduction}
\label{sec:intro}
The realisation that there may be more to the universe than meets the eye is one of the most profound developments in 20$^{\textrm{th}}$ Century astronomy and astrophysics. However, while there are now multiple lines of evidence that dark matter outweighs baryonic matter by a r... |
1,941,325,220,961 | arxiv |
\section{Introduction}
We consider pure SU(2) Yang Mills theory at finite temperature in the confinement phase $T<T_c$, which is a crude approximation of Quantum Chromodynamics (QCD). We study a model of dyons, in particular the quark antiquark free energy, with the aim to better understand the phenomenon of confin... |
1,941,325,220,962 | arxiv | \section{Introduction and main results} \label{sec:intro}
Our interest in this work is in modelling the pattern of genetic variation left
behind when a gene that is favoured by natural selection
`sweeps' through a spatially structured population in a travelling
wave.
The interaction between natural selection and spa... |
1,941,325,220,963 | arxiv |
\section{Decision Making Process}
\begin{figure}[t]
\centering
\includegraphics[width=\columnwidth]{figures/figure1}
\caption{Simplified architecture of an ADS illustrating how $PEM$s can help to study the impact of $S\&P$ errors on decision making: (top) Actual ADS as it operates in real world (below)... |
1,941,325,220,964 | arxiv | \section{Introduction}
The goal of this paper is to obtain information
on the cohomology of bundles on some generalizations of Hopf manifolds
applying methods of \cite{libgober} in the bundle setting.
Roughly, the cohomology of the bundles $\Omega^p_{{\mathcal H}}(E)$ on a
topological Hopf manifold ${\mathcal H}$ w... |
1,941,325,220,965 | arxiv | \section{Introduction}
Kagom\'{e} lattices have attracted
considerable interest from the aspect of geometric frustration in condensed-matter physics.\cite{atwood_kagom|[eacute]|_2002}
There is extensive degeneracy of nondispersing resonant modes in a resonator system with kagom\'{e} symmetry.
These eigenmodes form a... |
1,941,325,220,966 | arxiv | \section{Introduction}
Recently the major LHC experiments reported upon the discovery of a boson
with the mass of about $125$~GeV \cite{:2012gk,:2012gu}.
Further experimental studies~\cite{Aad:2013xqa,Chatrchyan:2013lba} showed
that this particle behaves very much like the Higgs boson of
the Standard Model (SM)~\cite{... |
1,941,325,220,967 | arxiv | \section{Introduction and the statements of the main results}
\label{S:intro}
Chemotaxis, the tendency of cells, bacteria, or organisms to orient the direction of their movements toward the increasing or decreasing concentration of a signaling chemical substance, has a crucial role in a wide range of biological ph... |
1,941,325,220,968 | arxiv | \section*{\Large Appendix}
\input{sections/appendix}
\end{document}
\section{Introduction}
3D content has been in high demand for a variety of applications, including gaming, entertainment, architecture, and robotics simulation.
It is slowly finding its way into virtually every possible domain: ret... |
1,941,325,220,969 | arxiv | \section{Introduction}
The reionization of the universe was the last global transition of the
Intergalactic Medium (IGM), from fully-neutral after cosmic recombination at
$z\sim1100$ to fully-ionized as we see it today, caused by the radiation from
the first stars. Currently there are still only very few direct observ... |
1,941,325,220,970 | arxiv | \section{Introduction}
The theory of polygonal billiards concerns the uniform motion of a point mass (billiard ball) in a polygonal plane domain (billiard table). We define collisions with the boundary to be elastic: the angle of incidence equals the angle of reflection. It is natural to consider the behavior of period... |
1,941,325,220,971 | arxiv | \section{Introduction}
Proper scoring rules are scoring functions that incentivize truthful information elicitation: an agent who has a subjective belief about an uncertain event maximizes his expected score by making a prediction according to his belief. When the agent can acquire costly information to refine his beli... |
1,941,325,220,972 | arxiv |
\section{Introduction}
The stochastic approximation method first appears in \cite{robbins1951stochastic} for solving a root-finding problem. Nowadays, its first-order version, or the stochastic gradient method (SGM), has been extensively used to solve machine learning problems that involve huge amounts of given data a... |
1,941,325,220,973 | arxiv | \section{Introduction}
\label{sec:intro}
Oil and water are immiscible fluids under normal conditions of
temperature and pressure. Their phase separation behaviour in binary
mixtures has been extensively studied both experimentally and
theoretically, and has become a testbed for many fluid simulation
methods~\cite{bib:... |
1,941,325,220,974 | arxiv | \section{Introduction}
Let $\Omega\subset \mathbb{R}^d$, $d=2,3$, be an open polygonal or polyhedral domain. We consider the following modified Cahn-Hilliard-Darcy-Stokes problem with natural and no-flux/no-flow boundary conditions~\cite{choksi03,choksi11,ohta86,onuki97,zvelindovsky98a,zvelindovsky98b}:
\begin{subeq... |
1,941,325,220,975 | arxiv | \section{Introduction}
Customer feedback analysis is the task of classifying short text messages into a set of predefined labels (e.g., bug, request). It is an important step towards effective customer support.
However, a real bottleneck for successful classification of customer feedback in a multilingual environm... |
1,941,325,220,976 | arxiv |
\section{Acknowledgement}
We thank the anonymous reviewers for their constructive comments. We are grateful to Felice Frankel for her professional advice on aesthetics, and Angjoo Kanazawa for her help in running~\cite{zuffi20163d} on the \emph{Horse} sequence. We thank Kevin Burg for allowing ... |
1,941,325,220,977 | arxiv | \section{Introduction}
A holomorphic quadratic differential on a Riemann surface defines a conformal metric that is flat with conical singularities, together with pair of \textit{horizontal} and \textit{vertical} measured foliations, and this singular-flat geometry is intimately related to quasiconformal mappings and ... |
1,941,325,220,978 | arxiv | \section{INTRODUCTION}
Since the Convolutional Neural Network was applied to visual data analysis~\cite{kohonen1982self}, there has been great progress in deep learning, computer vision and medical image processing. There is the potential to apply deep-learning-based approaches on medical image analysis, such as the ... |
1,941,325,220,979 | arxiv | \section*{References}
|
1,941,325,220,980 | arxiv | \section{Introduction}\label{introduction}
The past several years have witnessed the progress and success of self-play. The combination of classical MCTS \cite{mcts_survey} algorithms with newly developed deep learning techniques gives a stunning performance on complex board games like Go and Chess \cite{silver2018gene... |
1,941,325,220,981 | arxiv | \section{Introduction}
In this paper we want to discuss the notion of viscosity solution for geometric equations,
describing weak front propagation in step two Carnot groups, of the form
\begin{equation}\label{eqflow}
u_t(x,t)+F(x,t,Xu(x,t),X^2u(x,t))=0,\quad(x,t)\in\mathbb R^n\times(0,+\infty).
\end{equation}
Here th... |
1,941,325,220,982 | arxiv | \section{Introduction}
According to the $AdS/CFT$ correspondence
the eleven dimensional supergravity on $AdS_4 \times S_7$ is dual to a superconformal field theory
describing multiple M2-branes.
This superconformal field theory has to have
$\mathcal{N} = 8$ supersymmetry. This is because apart from a
constan... |
1,941,325,220,983 | arxiv | \subsection*{Acknowledgements}
The authors are indebted to Ninoslav Bralic and Olivier Espinosa for
enlightening discussions.
The work of (CAD) has been supported in part by the Foundation for
Research Development and Fundaci\'{o}n Andes, and that of (ML)
by FONDECYT 0751/92. This
work has been performed in the framewo... |
1,941,325,220,984 | arxiv | \section{Introduction}\label{sec:intro}
We consider the incompressible Navier--Stokes equations (NSE) in a three-dimensional domain $\Omega=[0,L]^3$, equipped with the space-periodic boundary condition. The NSE, which are the governing equations of motion of a viscous, incompressible, Newtonian fluid, are given by
al... |
1,941,325,220,985 | arxiv | \section{Introduction}
\label{intro} The collective behaviors, such as the emergence of system-wide
coordination in nature, the appearance of the consensuses of opinions in
social systems, and other related phenomena, are of great interested for
many researchers\cite{lampl,boyd,krapivsky,young,bikhchandani}. The ... |
1,941,325,220,986 | arxiv | \section{Introduction}
Let $A = R/I$, where $R = k[x_1,\dots,x_n]$, $k$ is an algebraically closed field of characteristic zero and $R/I$ is artinian. We say that $A$ has the {\it Weak Lefschetz Property (WLP)} if, for a general linear form $L$, the homomorphism $\times L : [A]_t \rightarrow [A]_{t+1}$ has maximal ran... |
1,941,325,220,987 | arxiv | \section{Introduction}
Dark matter dominates the outer galaxy but may not be absolutely stable. At the very least, this has to be demonstrated to within observational limits. Dark matter is generally considered to consist of weakly interacting particles that are hitherto undetected. Search for observational signatures ... |
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