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2,877,628,091,054 | arxiv | \section{Introduction}
\label{sec:intro}
While both speech recognition and image classification remain active areas of research, extraordinary progress has been made on both problems---ones that appeared intractable only a decade
ago~\cite{LeCun:2015dt}. By harvesting the power of neural networks
while simultaneously... |
2,877,628,091,055 | arxiv | \section{Introduction}
The process of automatically determining the sensor that produced a given image is referred to as {\em sensor identification}. While a number of sensor identification methods have been discussed in the literature~\cite{Relwork2, Geradts_SPIE_01, Bayram_ICIP_05}, the ones based on Photo Response ... |
2,877,628,091,056 | arxiv | \section{Introduction}
\iffalse
The year 2013 marks the 250th anniversary of Bayes rule, one of the two fundamental inferential principles of mathematical statistics. The rule has been influential over the entire period—and controversial over most of it. Its reliance on prior beliefs has been challenged by frequentism... |
2,877,628,091,057 | arxiv | \section{Introduction}
Recently, we have observed an increase in social media usage and a similar increase in hateful and offensive speech. Solutions to this problem vary from manual control to rule-based filtering systems; however, these methods are time-consuming or prone to errors if the full context is not taken i... |
2,877,628,091,058 | arxiv | \section{Introduction}
Tensor decompositions have been recently popular for unsupervised learning of a wide range of latent variable models such as independent component analysis~\cite{de2007fourth}, topic models, Gaussian mixtures, hidden Markov models~\cite{AnandkumarEtal:tensor12}, network community models~\cite... |
2,877,628,091,059 | arxiv | \section{Introduction}
Theoretical calculations on single molecule conduction have typically employed coherent
Non-Equilibrium Green's function (NEGF) theories (``Landauer limit") \cite{rdatta1,mwl1} coupled with Self Consistent Fields (SCF) to describe charging effects.
Though fairly successful in describing man... |
2,877,628,091,060 | arxiv | \section{Introduction}
\label{sec:introduction}}
\else
\section{Introduction}
\label{sec:introduction}
\fi
\IEEEPARstart{A}{s} the number of \emph{Internet of Things (IoT)} devices deployed dramatically increases worldwide~\cite{Kolias2017DDoSBotnet
}, and the traffic volume of IoT-based DDoS attacks reaches unpreceden... |
2,877,628,091,061 | arxiv | \subsection{\texorpdfstring{}{}}}
\newcommand{\subsection{}}{\subsection{}}
\newcommand{\parref}[1]{\hyperref[#1]{\S\ref*{#1}}}
\newcommand{\chapref}[1]{\hyperref[#1]{Chapter~\ref*{#1}}}
\makeatletter
\newcommand*\if@single[3]{%
\setbox0\hbox{${\mathaccent"0362{#1}}^H$}%
\setbox2\hbox{${\mathaccent"0362{\kern0pt#1... |
2,877,628,091,062 | arxiv | \section{Introduction} \label{sec:intro}
Let $\{ \mathcal{P}_i \}_{i=1}^n$ be a collection of disjoint ideal polyhedra in $\mathbb{H}^3$. A \textit{face pairing} on $\{ \mathcal{P}_i \}$ is a collection of isometries $\{\phi_f\, |\, f \in \mathcal{P}_i^{(2)}\, 1 \leq i \leq n\}$ of $\mathbb{H}^3$ with the following p... |
2,877,628,091,063 | arxiv | \section{Introduction}\label{sec:intro}
\subsection{Motion in General Relativity}
The problem of motion in General Relativity is a complex but fundamental one.
It is the motion of objects {\it and} of light that allows for precise
tests of the theory, by connecting it to observations. Conversely, the way that object... |
2,877,628,091,064 | arxiv | \section{Introduction}
\label{secintro}
Extremal metrics were introduced by Calabi \cite{c1}. Let $(X,\omega)$ be a K\"ahler manifold of complex dimension $n$. An extremal metric is a critical point of the functional
\begin{eqnarray*}
g & \mapsto & \int_X (S(g))^2 \frac{\omega_g^n}{n!}
\end{eqnarray*}
defined on K\"a... |
2,877,628,091,065 | arxiv | \section{Introduction
Seeking the physical origin of two accelerated expansion regimes of the Universe, namely, the primordial inflation and the present cosmic acceleration, is one of the most important theoretical challenges of cosmology today.
These unknown physical origins are referred by the primordial dark ene... |
2,877,628,091,066 | arxiv | \subsection{Ablation studies}
\label{sec:ablation}
We now ablate our key components under the \zeroshot{} LVIS setting with IN-L as the image-classification data.
We use our strong training recipe as described in \cref{sec:implementation_details} for all these experiments.
\vspace{0.05in}
\par \noindent \textbf{Varia... |
2,877,628,091,067 | arxiv | \section{Introduction}
\label{1.Intro}
Multi-stage Manufacturing Systems (MMS) are playing an important role in the manufacturing industry.
In the manufacturing sector, automation, interconnection and electrification are increasingly adopted for better efficiency and cost-reduction. With the increase in software-base... |
2,877,628,091,068 | arxiv | \section{Introduction}
One-body transport models like the Boltzmann-Uehling-Uhlenbeck~(BUU) equation (see, e.g., Ref.~\cite{BerPR160}) provide a powerful tool to describe heavy-ion collisions.
Based on these models, valuable information on the details of nuclear reaction dynamics and nuclear matter properties has been... |
2,877,628,091,069 | arxiv | \section{Eruptions, wind-wind interactions and tides}
HD 5980 is an amazing system. Niemela (1988) was the first to point out that it consists of
two Wolf-Rayet-like components referred to as {\it star A} and {\it star B} in a relatively
close, eclipsing and excentric orbit (P$=$19.3, e$\sim$0.3) and a third source... |
2,877,628,091,070 | arxiv | \section{Introduction}
\label{sec:intro}
Neural audio signal processing has set a new state of art in many fields, such as audio source separation \cite{Stoller2018Wave-U-Net:Separation}, text-to-speech \cite{Ping2018ClariNet:Text-to-Speech}, timbre transfer \cite{Engel2019DDSP:Processing} and unconditional generation... |
2,877,628,091,071 | arxiv | \section{Introduction}
\label{sec:intro}
Cosmological observations suggest the existence of the mysterious elements
in the history of the Universe,
such as the inflationary evolution at the beginning of the Universe,
and dark matter and dark energy at the present day.
General relativity (GR)
with these new elements ... |
2,877,628,091,072 | arxiv | \section{Introduction}
\label{sec:Introduction}
The Sloan Digital Sky Survey (SDSS, \citealp{York_etal_2000}), with
its homogeneous spectroscopic and photometric data on hundreds of
thousands of galaxies has revolutionized our perception of the world
of galaxies in the local Universe. The enormous amount of objects
a... |
2,877,628,091,073 | arxiv |
\subsection{Annotation process}
FQuAD2.0 is an extension of FQuAD1.1 \citep{fquad}.
This extension consists in the addition of unanswerable questions. These questions are hand-crafted in an adversarial manner in order to be difficult to distinguish from answerable ones. To achieve this goal we gave precise guidelin... |
2,877,628,091,074 | arxiv |
\subsection{Wide neural networks are minimax optimal with early stopping}
Lin et al. \cite{lin2020optimal} have considered the regression problem (Equation \eqref{equation:true_model}). They investigated the generalization ability of the solution obtained by gradient descent method with $0\in \mathcal{H}_{\Phi}$ as t... |
2,877,628,091,075 | arxiv |
\section{Introduction}
\label{sec:intro}
In a modern particle physics experiment, simulation of the detector response is used to estimate efficiencies and resolutions of measured quantities.
These efficiencies and resolutions are necessary in order to fully interpret the data produced by the experiment.
The possible ... |
2,877,628,091,076 | arxiv | \section{Introduction and Summary}
In condensed matter physics,
we aim to formulate a systematic framework within unified principles to understand
many-body quantum systems and their underlying universal phenomena.
Two strategies are often being used: classification and characterization.
The classification aims to or... |
2,877,628,091,077 | arxiv | \section{Introduction}
Recently, motion transfer has gained increasing attention from computer vision researchers, due to its numerous potential applications in the fields of video re-enactment~\cite{chan2019everybody}, fashion design~\cite{dong2019fw}, face swapping~\cite{siarohin2020first}, and so on. Given a sourc... |
2,877,628,091,078 | arxiv | \section{Introduction}
Graphene~\cite{Novoselov} remains among the most fascinating and
attractive subject has been seen right now in condensed matter physics. This is
because of its exotic physical properties and the apparent
similarity of its mathematical model to the one describing
relativistic fermions in two dime... |
2,877,628,091,079 | arxiv | \section{Introduction}
While recent advances in Natural Language Processing have yielded high-quality language models such as BERT~\cite{devlin-etal-2019-bert}, GPT-3~\cite{brown2020language} and ELECTRA \cite{clark2020electra} which are able to continue sentences, fill in masked words and correctly parse human languag... |
2,877,628,091,080 | arxiv | \section{Introduction}
Recent years have witnessed a tremendous progress in studies of quantum information theoretic
measures \cite{nielsen00,vedral07} close to a quantum critical point (QCP) \cite{sachdev99,chakrabarti96,continentino01}.
Quantities like concurrence \cite{osterloh02,osborne02,amico08}, negativity \ci... |
2,877,628,091,081 | arxiv | \section{Introduction}\label{Introduction}
First-order iterative optimization methods have been widely applied in data science and machine learning~\cite{bubeck2015,shalev2014}. These methods only require access to first-order derivative information, and iterate on the data until satisfactory convergence is achieved.... |
2,877,628,091,082 | arxiv | \section{Introduction}
\label{intro}
\chapquote{``For me, both philosophy and science lose all their attraction when they give up that pursuit [of knowledge and understanding of the world] -- when they become specialisms and cease to see, and to wonder at, the riddles of our world. Specialization maybe a great temptat... |
2,877,628,091,083 | arxiv | \section{Introduction} \label{s-intro}
The nature of dark energy is one of the key cosmological questions of our time. A basic
component of the question is whether dark energy is static as predicted by the cosmological
constant $\Lambda$ or dynamical as predicted by rolling scalar field cosmologies. The
proper test i... |
2,877,628,091,084 | arxiv | \section{Introduction}
\label{sec:intro}
We consider the problem of learning a symmetric positive definite (SPD) matrix in a nonlinear regression setting, ${ {\vc Y} = f(\vc X)}$. The input ${\vc X}$ is a matrix of arbitrary size which can be represented as a column vector without loss of generality. The output ${\vc Y... |
2,877,628,091,085 | arxiv | \section{\label{sec:level1}Introduction}
The heavy fermion material URu$_2$Si$_2$ has been a subject of long-standing
interest since the discovery of a phase transition at T$_0$~=~17.5~K, thirty
years ago~\cite{Palstra_85}. Initially thought to be an antiferromagnetic
transition, the small antiferromagnetic momen... |
2,877,628,091,086 | arxiv | \section{Approach}\label{approach}
Simulated annealing is an approach inspired by statistical mechanics which by analogy views the values of a multivariable numeric problem as physical states of particles. Simulated annealing is very useful practically for problems such as the traveling salesperson problem and other s... |
2,877,628,091,087 | arxiv | \section{Introduction}
The fundamental parameter of the strong interactions,
the coupling $\alpha_\msbar(\mu)=\gbar^2_\msbar(\mu)/(4\pi)$, is an essential input parameter for theory predictions
of high energy processes in particular
the physics at the LHC \cite{Dittmaier:2012vm,Heinemeyer:2013tqa,Accardi:2016ndt}.
Co... |
2,877,628,091,088 | arxiv | \section{Introduction}
\label{sec:intro}
Many complex systems are organized as networks, including social networks, gene interaction networks, the world wide web, and beyond \cite{BoLaMoCh06,BrEr05}. The majority of complex networks from real-world systems have statistical properties that separate them from the rando... |
2,877,628,091,089 | arxiv | \section{Introduction}
Neural networks especially deep networks \cite{HintonOsinderoTeh2006,LeCunBengioHinton2015} have attracted a lot of attention recently due to their superior performance in several machine learning tasks such as face recognition, image understanding and language interpretation. The applications of... |
2,877,628,091,090 | arxiv | \subsubsection*{Derivation of Eq.~(\ref{equ1})}
A drive at angular frequency $\omega$ near readout frequency induces damped Rabi oscillations of the readout transition with the Hamiltonian
\begin{equation}
H/\hbar=\frac{(\omega-\omega_{03})}{2}(|3\rangle\langle3|-|0\rangle\langle0|)-i\frac{\Omega}{2}(|3\rangle\langle0|... |
2,877,628,091,091 | arxiv | \section{Introduction}\label{sec:intro}
This is the first in a two-part series of papers, in which we develop a high-order numerical algorithm to simulate compressible fluid flow
with shock waves and contact discontinuities, as well as shock-wall collision and bounce-back. In the second part of this series \cite{RaRe... |
2,877,628,091,092 | arxiv | \section{Introduction}
\section{Survey}
A multitude of literature is available for initial access techniques at sub-6GHz frequencies in ad-hoc wireless network scenarios or, at 60 GHz IEEE 802.11ad WLAN and WPAN scenarios \cite{wang2009beam,alkhateeb2013hybrid, tsang2011co... |
2,877,628,091,093 | arxiv | \section{Introduction}
In recent years, contextualized embeddings have become increasingly important.
Embeddings created by the BERT model and its variants have been used to get state-of-the-art performance in many tasks \citep{devlin-etal-2019-bert, liu2019roberta, yang2019xlnet, radford2018gpt, radford2019gpt2,brown... |
2,877,628,091,094 | arxiv | \section{Background and Related Works}
\label{sec:background}
\subsection{ML Model Inferences as Queries}
\eat{Tab.~\ref{tab:input-loading-overhead} illustrates that such data transfer overhead is significant, and could be multiple times of the inference time. \footnote{All the tests in Tab.~\ref{tab:input-loading-... |
2,877,628,091,095 | arxiv | \section*{Introduction}
Graphene is one of the most promising physical systems discovered in the last ten years, since it's properties offer place for many physical theories to be studied and observed in the laboratory. Particularly, graphene can be modelled by using relativistic quantum mechanics and quantum field t... |
2,877,628,091,096 | arxiv | \section{History and Overview}
A real polynomial $f(x_1,\dots,x_n)$ is {\it psd} or {\it positive} if
$f(a) \ge
0$ for all $a \in \mathbb R^n$; it is {\it sos} or a {\it sum of
squares} if there exist real polynomials $h_j$ so that $f = \sum h_j^2$.
For forms, we follow the notation
of \cite{CL1} and use $P_{n,m}$ ... |
2,877,628,091,097 | arxiv | \section{Introduction}
CAD models describe surfaces using a collection of patches that meet in curves and points. Ideally, the CAD surface is watertight, but in practice, there are often gaps or overlaps between neighboring patches. These gaps/overlaps may cause serious meshing and finite element analysis problems and... |
2,877,628,091,098 | arxiv | \section{Introduction}
Bound pairs of spinning black holes (BHs) orbiting around each other, known as binary BHs (BBHs), have only very recently been observed. The first gravitational waves detected by LIGO \cite{2016PhRvL.116f1102A} confirmed the existence of BBHs in the Universe, by detecting the final stages of the... |
2,877,628,091,099 | arxiv | \section{Introduction}
The running charge plays a particularly distinguished role in QCD, both in the history of QCD and in extensive applications. Its perturbative behavior in the UV exemplifies asymptotic freedom, and it is constantly invoked in phenomenology. But it has its difficulties: One must choose a single... |
2,877,628,091,100 | arxiv | \section{Introduction}
A blind search has been made for cosmic ray sources of neutral hadrons yielding a peak just above the knee. We report support for such a possibility, i.e., a peak at $5.86\pm 0.75 PeV,$ using data from an international collaboration (Tunka).\citep{Tunka,Tunka1,tunka1} This search was motiv... |
2,877,628,091,101 | arxiv | \section{Introduction}
Pfaffian forms are a particular case of differential forms: the \textit{1-forms}. The treatment of this subject via differential forms, including the use of exterior algebra and differentiable manifolds more general than ${\mathbb {R}}^{n}$, is beyond the scope of this paper\footnote{To the read... |
2,877,628,091,102 | arxiv | \section{Introduction}
\label{sec_intro}
Considerable progress has been made in coronal seismology thanks to the abundantly identified waves
and oscillations in the structured solar atmosphere
(for a recent review,
see~\citeauthor{2012RSPTA.370.3193D}~\citeyear{2012RSPTA.370.3193D},
and also~\cite... |
2,877,628,091,103 | arxiv | \section{Introduction}
The Minimal Model Program (MMP) is one of the main guiding principles in the study of algebraic varieties. It predicts that every projective variety $X$ with mild singularities should have a birational model $X'$ which is also mildly singular and either has $K_{X'}$ nef (minimal model) or admits... |
2,877,628,091,104 | arxiv |
\subsection{Dataset}
We evaluate our method MACDA on the Davis dataset \cite{Davis2011ComprehensiveSelectivity},
which contains the drug-target binding affinity of 442 target proteins
and 72 drugs. We use $pK_{D}$ (log kinase dissociation constant) to measure the binding affinity between the target protein and
the d... |
2,877,628,091,105 | arxiv | \section{Introduction}
Recently appeared a number of papers \cite{besp-08},\cite{besp-09} claiming that the
chromosphere-corona
transition region of the solar atmosphere should be considered in the non-collisional
approximation.
In these papers it is said that ion-acoustic turbulence is the reason of differentiation o... |
2,877,628,091,106 | arxiv | \section{\label{sec:Lagrangian} Heisenberg--Euler Lagrangian}
The Heisenberg--Euler Lagrangian in the weak field approximation is given by
\begin{equation}
\mathcal{L}_{HE}=\mathcal{L}_{0}+\mathcal{L}',\label{eq:Lagrangian}
\end{equation}
where $\mathcal{L}_{0}=-(1/16\pi)F_{\mu\nu}F^{\mu\nu}$ is the classical electroma... |
2,877,628,091,107 | arxiv | \section{Introduction}
\hspace{0.5cm}The use of string rewriting systems or Thue systems has been proved to be a very efficient tool to solve the word
problem. Indeed, Book shows that there is a linear-time algorithm to decide the word problem for a monoid that is
defined by a finite and complete rewriting system \c... |
2,877,628,091,108 | arxiv | \section{Introduction}
A high-energy lepton collider (LC) \cite{Heuer:2012gi} offers the possibility of direct
production of lepton number ($L$) carrying heavy states (such as sleptons $\tilde l$ in supersymmetry) and of doing
precision physics profiting from low QCD activity. The possibility of polarising th... |
2,877,628,091,109 | arxiv |
\section{Supplemental Material}
\begin{table*}[h!]
\caption{The maximum Pearson correlation coefficient obtained for {\it minimal sets} at densities $\rho$ between the individual EOS components and different star properties. The maximum correlation coefficient $r_{x,y}$ at a given $\rho$ in fm$^{-3}$ for $x$ =\{ $\... |
2,877,628,091,110 | arxiv | \section{Introduction}
\IEEEPARstart{W}{ind} power generation (WPG) introduces variability and uncertainty in operational planning. As defined in \cite{ela_2012}, \textit{variability} of WPG is the random fluctuation of wind speed caused by physical processes in the atmosphere while \textit{uncertainty} of WPG results... |
2,877,628,091,111 | arxiv | \section{INTRODUCTION}
In the past decades, different aspects of Shape Memory Alloys (SMA) have been
investigated intensively by mathematicians, physicists, and engineers \cite{Birman1997}.
This interest in a larger scientific community
is due to SMA unique properties of being able to convert thermal energy into ... |
2,877,628,091,112 | arxiv | \section{Introduction}
\label{intro}
In this paper, we propose new statistical inference procedures for linear functionals and their functions of two semicontinuous populations.
Specifically, suppose that we have two independent samples of interest, which are generated by the following mixture models:
\begin{equation}... |
2,877,628,091,113 | arxiv | \subsection*{Single column equations}
Authors may use 1- or 2-column equations in their article, according to their preference.
To allow an equation to span both columns, options are to use the \verb|\begin{figure*}...\end{figure*}| environment mentioned above for figures, or to use the \verb|\begin{widetext}...\end{... |
2,877,628,091,114 | arxiv | \section{Introduction}\label{sec:introduction}
Persistent homology is an algebraic invariant of filtered topological spaces commonly used in topological data analysis and in other areas of applied and computational topology. At its core, persistent homology is typically computed using factorizations of the boundary m... |
2,877,628,091,115 | arxiv | \section{Introduction}
\label{sec:intro}
Over the past decades, randomized search heuristics such as evolutionary algorithms and ant colony optimization have been applied successfully in various areas, including engineering and economics. To gain a deep insight into the behaviors of evolutionary algorithms, many theore... |
2,877,628,091,116 | arxiv | \section{Conclusion}
\label{sec:conclusion}
In this paper, we proposed a multi-task deep learning model, namely FEDAR, for the problem of document-level multi-aspect sentiment classification.
Different from previous studies, our model does not require hand-crafted aspect-specific keywords to guide the attention and bo... |
2,877,628,091,117 | arxiv | \section{Overview}
A central program of the theory of infinite structures
is to find which structures have partition properties resembling Ramsey's Theorem.
In this context, one colors the copies of a finite structure $\A$ inside the infinite structure $\mathcal{S}$ into finitely many colors and looks for ... |
2,877,628,091,118 | arxiv | \section{Introduction}
Perhaps the most important correlation-related problem is the \emph{famous} Gaussian Correlation Conjecture. The standard Gaussian measure (denoted by $\gamma_n$) of any measurable subset $A\subseteq \mathbb{R}^n$ is defined by
\begin{eqnarray*}
\gamma_n(A)=\frac{1}{(2\pi)^{n/2}}\int_{A}e^{-... |
2,877,628,091,119 | arxiv | \section{Introduction}
\label{zero}
The Kneser-Poulsen conjecture raises an important fundamental problem on volume measure. This paper suveys the major developments regarding this problem and orients the attention of the reader towards a number of open questions in order to generate further research progress. Anyone i... |
2,877,628,091,120 | arxiv | \section{Introduction}
Let $D$ be an integral domain. Semistar operations on $D$ are a class of closure operations on the set of $D$-submodules of the quotient field $K$ of $D$, defined by Okabe and Matsuda \cite{okabe-matsuda} as a generalization of the concept of star operation, originally introduced by Krull \cite{... |
2,877,628,091,121 | arxiv | \section{Introduction}
\label{subsec:intro}
\subsection{Motivation}
\input{sec_introduction}
\subsection{Statement of Contribution}
\label{sec:contrib}
\input{sec_contribution}
\section{Related Work}
\input{sec_related}
\label{subsec:related}
\section{MLNav Framework}
\label{sec:approach}
\input{sec_approach}
\s... |
2,877,628,091,122 | arxiv | \section{Introduction}
When strongly interacting matter is heated, it is expected to go over to the Quark
Gluon plasma (QGP) phase. Lattice Quantum chromodynamics (QCD) is extensively used
to study the properties of matter across this transition. Even though the thermodynamic
quantities
and the equation of state is kno... |
2,877,628,091,123 | arxiv | \section{Introduction}
Topological $K$-theory was first introduced in the 1960's as a generalized cohomology theory \cite{atiyah;k-theory}, and it was soon extended to the equivariant world by Segal \cite{segal;equivariant-k-theory}. In 1970, the notion of twisted $K$-theory was first introduced by Donovan and Karoubi ... |
2,877,628,091,124 | arxiv | \section{Introduction}
In 1986, Bednorz and M\"uller unveiled a new class of ceramic superconducting materials composed of a layered structure of a two-dimensional CuO$_2$ plane\cite{BM}.
Subsequently, the superconducting transition temperature ($T_{\rm c}$) in cuprates rises up to $\sim$133 K in HgBa$_2$Ca$_2$Cu$... |
2,877,628,091,125 | arxiv | \section{Significance}
Water is vital to our everyday life, but its structure at a molecular level is still not fully understood
from {either experiment or theory.
The latter is hampered} by our inability to construct a purely predictive, first principles model.
The difficulty in modeling water lies in capturing the de... |
2,877,628,091,126 | arxiv | \section{Rotation numbers}
\label{app:rotation_numbers}
Let $\widetilde{\text{Sp}}(2)$ denote the universal cover of the group $\text{Sp}(2)$ of $2\times 2$ real symplectic matrices. Let $\operatorname{Diff}(S^1)$ denote the group of orientation-preserving $C^1$ diffeomorphisms\footnote{For the most part we could wor... |
2,877,628,091,127 | arxiv | \section{Introduction}
The mechanism that leads to high-temperature superconductivity in
the cuprates remains an open question despite intense study for the
past two decades. Although the field has been challenged by many
high-quality data from different types of measurement, there is no
uniformly-accepted theoretica... |
2,877,628,091,128 | arxiv | \section{Introduction}
In \cite{vf} we generalized MacMahon's \cite{MacM} beautiful formula stating that the number of lozenge tilings of a hexagonal region of side-lengths $x$, $y$, $z$, $x$, $y$, $z$ (in cyclic order) on a triangular lattice is
\begin{equation}
\prod_{i=1}^x\prod_{j=1}^y\prod_{k=1}^z \fr... |
2,877,628,091,129 | arxiv | \section{Introduction}
Many extra-dimensional models have four-dimensional (4D) brane-like defects
on the compact space, such as orbifold fixed points
or solitonic objects~\cite{ArkaniHamed:1998rs}-\cite{Randall:1999vf}.
We can freely introduce 4D terms localized
at the branes\footnote{
Here we do not conside... |
2,877,628,091,130 | arxiv | \section{Introduction}
\label{section:Introduction}
The Galactic centre (GC) is a benchmark object for studying the galactic nuclei of present-day large spiral galaxies. It contains the super-massive black hole Sagittarius\,A* \citep[Sgr\,A*; e.g.][]{Eckart:1996tg,Eckart:1997jl,Ghez:2008fk}, the nearest nuclear star c... |
2,877,628,091,131 | arxiv | \section{Introduction}
\IEEEPARstart{N}{}umerous applications involving Unmanned Aerial Vehicles (UAVs), and in
particular quadrotors, require them to move inside areas characterized by
physical boundaries, obstacles and even tight space constraints (as e.g., urban
environments) in order to accomplish their robotics ta... |
2,877,628,091,132 | arxiv | \section{Introduction}
\label{sec:1}
The equation of state (EOS) is a critical input for astrophysical simulations
such as core-collapse supernovae and neutron-star mergers, which require information
over wide ranges of temperature, proton fraction, and baryon density.
The EOS should include reasonable descriptions fo... |
2,877,628,091,133 | arxiv | \section{Introduction}
\begin{figure*}[htbp!]
\includegraphics[width=\textwidth,height=4cm]{fig_ptb_setup.jpg}
\caption{The irradiation setup of the EJ-301 detector (left) corresponding to the 0$^{\circ}$ orientation in Table \ref{table:data_sets}. The shadow cone is visible toward the right. The neutron beam ente... |
2,877,628,091,134 | arxiv |
\section{Introduction}\label{sec:intro}
\input{introduction}
\section{Results}\label{sec:results}
\input{results}
\section{Discussion} \label{sec:discussion}
\input{discussion}
\small{
\section{Methods}\label{sec:methods}
\input{methods_formulation}
\input{methods_bempp}
\input{methods_exafmm}
}
\section{Data ava... |
2,877,628,091,135 | arxiv | \section{Introduction}\label{sec:Intro}
\begin{table*}
\begin{threeparttable}
\centering
\caption{Main properties of accretion solutions in one- and two-component
galaxy models with central MBH.}
\begin{tabular}{@{}l@{\hskip 4em}c@{\hskip 4em}c@{\hskip 4em}c@{\hskip 4em}c}
\toprule[1.25pt... |
2,877,628,091,136 | arxiv | \section{Statement of results}
\subsection{Lyapunov exponent of random product of diffeomorphisms of the torus}
We consider the random compositions $g_n=f_{n-1}\circ\cdots \circ f_0$ where $(f_k)_{k\in\mathbb{N}}$ is a sequence of i.i.d. copies of some random diffeomorphism $f$ of the unidmensional torus $\mathbb{T}... |
2,877,628,091,137 | arxiv | \section*{Supplemental Material}
Considering the exchange of vector mesons, the potential between a pair of heavy and antiheavy hadrons at threshold takes the following form:
\begin{equation}
V\sim-F\beta_1\beta_2g_V^2\frac{2m_1m_2}{m_{\rm ex}^2},
\label{eq:potential}
\end{equation}
where $m_1,m_2$ and $m_{\r... |
2,877,628,091,138 | arxiv | \section{Introduction}\label{sec:intro}
The $\Lambda$ cold dark matter ($\Lambda$CDM) model has been taken as the standard cosmological paradigm since the discovery of late-universe acceleration~\citep{Riess98, Perlmutter99}. It is a remarkable success in terms of explaining the temperature and polarization anisotropi... |
2,877,628,091,139 | arxiv | \section{Introduction}
It is tempting to conclude that the time-honoured discrepancy between the Standard Model (SM) prediction for the muon anomalous magnetic moment and its experimental measurement is a firm indication of New Physics (NP) Beyond the SM (BSM). Moreover, after improving the determination of the fine s... |
2,877,628,091,140 | arxiv | \section{Introduction}
\label{sec:Introduction}
The peer-to-peer (p2p) content delivery systems are permissionless decentralized services to seamlessly replicate contents to the end consumers. Typically these systems~\cite{Cohen-2003-P2P,kulbak2005emule} encompass a large ad-hoc network of deliverers such as normal I... |
2,877,628,091,141 | arxiv | \section{Introduction}
Due to its large mass,
$m_t = 173.2\pm0.9$~GeV \cite{Lancaster:2011wr},
the top-quark seems to play a special role,
and therefore top-quark physics
may give hints to physics beyond the standard model (SM).
Assuming that the Higgs mechanism is indeed the way particles obtain their masses,
the top-... |
2,877,628,091,142 | arxiv | \section{Introduction}
The phenomenon of $CP$ violation is one of the least tested aspects of the
Standard Model (SM) and represents one of the sectors where a large
sensitivity to possible New Physics (NP) effects can be expected. An
important step forward in understanding the nature of this phenomenon has
recently b... |
2,877,628,091,143 | arxiv | \section{Introduction}
\input{subfiles/1-introduction}
\section{Background and Preliminaries}\label{sec:background}
\input{subfiles/2-background}
\subsection{Similarity Learning as Pairwise Bipartite Ranking}
\input{subfiles/2-1-formulation}
\subsection{Recursive ${\rm ROC\xspace}$ Curve Optimization - The TreeRank ... |
2,877,628,091,144 | arxiv | \section{The model}
\textit{Phenomenological model.}
We consider classical spins, $\mathbf{S}_i$, of unit length on a square lattice in the $xy$-plane with ferromagnetic NN $J_1$ and antiferromagnetic 3rd NN $J_3$ exchange interactions. Additionally, we include the DMI with constant $D$ gradually increased starting ... |
2,877,628,091,145 | arxiv | \chapter{Introduction}
\defd{d}
\def{D}{{D}}
\REF\gepner{D. Gepner, ``Fusion Rings And Geometry,'' Commun. Math. Phys.
{\bf 141} (1991) 381; D. Gepner and A. Schwimmer, ``Symplectic Fusion
Rings And Their Metric,'' Nucl. Phys. {\bf B380} (1992) 147; D. Gepner,
``Foundations Of Rational Conformal Field Theory, I'' (Ca... |
2,877,628,091,146 | arxiv | \section[#1]{\centering\normalfont\scshape #1}}
\newcommand{\ssubsection}[1]{%
\subsection[#1]{\raggedright\normalfont\itshape #1}}
\newcommand{\mathfrak{p}}{\mathfrak{p}}
\newcommand{\mathfrak{q}}{\mathfrak{q}}
\begin{document}
\maketitle
\begin{abstract}
We express the multigraded Betti numbers of an arbitrary mono... |
2,877,628,091,147 | arxiv | \section{Introduction}
\label{sec:introduction}
Overconstrained linkages is a long-lasting but still highly
active topic of research in mechanism science. For several decades, researchers
focused on overconstrained mechanisms consisting of a single loop of $n \le 6$
revolute joints (R), prismatic joints (P), or, somet... |
2,877,628,091,148 | arxiv |
\section{Introduction} \label{sect:intro}
Many practical applications require sequences of decisions to be made under evolving and often uncertain conditions. Multistage stochastic programming (SP) is one of the common approaches used to guide decision making in such stochastic optimization problems. A variety of f... |
2,877,628,091,149 | arxiv |
\section{Magnetic characterization of $\alpha$-R\lowercase{u}C\lowercase{l}$_3$}
The temperature dependence of the magnetic susceptibility
$\chi(T)$ of $\alpha$-RuCl$_3$\, is shown in Fig.~\ref{fig:magnetization} (upper
panel) for $\mu_0 H$ = 0.1 T $\parallel$ {\it{ab}}. Note that the
same single crystal was used for... |
2,877,628,091,150 | arxiv | \section{Introduction}
\label{Introduction}
Since its formulation, Einstein's general theory of relativity (GR) has withstood extensive experimental and
observational scrutiny using tests that range from millimeter to solar system scales (see \cite{Will_review}
and references therein). The discovery of the late-time ... |
2,877,628,091,151 | arxiv | \section{Introduction}
\label{sec:intro}
Ensemble learning has been proved impactful in traditional machine learning
\cite{breiman2001random, liu1999ensemble, caruana2004ensemble}.
Concurrently, it is widely applied in deep learning as well.
It is utilized to enhance final performance on different tasks~\cite{liu2018... |
2,877,628,091,152 | arxiv | \section{Introduction}
Let $S$ be a standard graded algebra over a field $k$.
For a homogeneous ideal $Q \subseteq S$, we call the function $\depth S/Q^n$, $n \ge 1$
the \emph{depth function} of $Q$.
The goal of this paper is to prove the following conjecture of Herzog and Hibi in \cite{HH} (see also \cite[Problem 3... |
2,877,628,091,153 | arxiv | \section{Introduction}
The current values for the Standard Model couplings imply a striking feature for the potential of the Higgs: at large scales there seems to exist a second minimum, with large negative energy-density. This is problematic for early universe physics, as during inflation strong background curvature m... |
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