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1,941,325,218,888 | arxiv | \section{Introduction}
While 32-bit single-precision floating-point was the dominant numerical format for Deep Learning (DL) applications, more recently a variety of alternative formats have been proposed to increase the computational performance of deep learning applications. It is becoming commonplace to train neur... |
1,941,325,218,889 | arxiv | \section{Introduction} Let $C(n,k)$ denote the number of connected graphs with $n$ labeled vertices and $n+k-1$ edges. For example, $C(n,0)$ is the number of labeled trees on $n$ vertices and is equal to $n^{n-2}$ by Cayley's theorem. There is a rich history of the study of the asymptotics of the sequence $C(n,k)$. Wri... |
1,941,325,218,890 | arxiv | \section{Introduction}
Two-stage designs are used for many purposes, including enrichment, sample size re-estimation and to modify randomization probabilities to improve the efficiency and/or efficacy of estimators. All these procedures use accumulated data to change the operation of the experimental design, which indu... |
1,941,325,218,891 | arxiv | \section{Introduction}\label{sec_intro}
In this paper, we are interested in the limiting behavior of random walks on graphs corresponding to tessellations
in the diffusive regime, known as the {\em diffusive limit}. A well-known example of such convergence is that of random walks on lattices to the Brownian motion (fo... |
1,941,325,218,892 | arxiv | \section{Introduction}
Buoyancy affects the flows in planets and stars, hence its understanding is very critical. Buoyancy-driven flows come in two categories: (a) Stably stratified flows, as in Earth's atmosphere; (b) Unstably stratified flows, as in thermal convection, Raleigh-Taylor instability, etc. These two c... |
1,941,325,218,893 | arxiv | \section{Introduction}
The uncertainty principle represents one of the most distinctive features of quantum mechanics. In contrast to classical theories, this principle denies the possibility of having exact values for simultaneous measurements of canonically conjugated physical variables. Discovered by Heisenberg in ... |
1,941,325,218,894 | arxiv | \section{Introduction}
Cosmic acceleration is a fundamental mystery of great interest and
importance to understanding cosmology, gravitation, and high energy
physics. The cosmic expansion rate is slowed down by gravitationally
attractive matter and sped up by some other, unknown contribution to
the dynamical equ... |
1,941,325,218,895 | arxiv | \section{Introduction}
\label{sec:introduction}
The spectra of cosmic rays (CR) extend to a very broad energy range with
a smooth shape that, for energy $E \gtrsim 30$~GeV,
is usually described as an ensemble of adjacent energy intervals,
where the energy distribution is
a simple power law ($\phi(E) \simeq K \; E^{-\... |
1,941,325,218,896 | arxiv | \subsection{Introduction}
The theory of Lie transformation groups, is applied to vector valued distributions, to give
a scalar type for change of local coordinates, as minimal invariant sets. Conjuation is relative convexity.
Under the condition that $R(G)^{\bot}$ is $L^{p}-$ compact, with an approximation propert... |
1,941,325,218,897 | arxiv | \section{Introduction}
Let $K$ be a compact, convex subset of a locally convex space $X$ and let $A_{\mathbb{R}}(K)$ denote the space of real valued, continuous and affine functions defined on $K$. Then $A_{\mathbb{R}}(K)$ is a complete order unit space and the state space of $A_{\mathbb{R}}(K)$ is affine homeomorphi... |
1,941,325,218,898 | arxiv | \section{Introduction}
\label{intro}
In the history of particle and nuclear physics the study of weak interactions and especially beta decay has played a vital role. These studies helped, amongst others, to establish the V-A structure of weak
interactions. Nowadays, this interest is somewhat reduced but there
are still... |
1,941,325,218,899 | arxiv | \section{Introduction}
\label{sec:intro}
It is believed that single stars of solar metallicity with an
initial mass of $\ga 20-25 \, \msun$ end their lives as Wolf-Rayet
(WR) stars (Vanbeveren, De Loore \& Van Rensbergen 1998; Meynet \&
Maeder 2003). The relatively small number of massive stars and the
short duration... |
1,941,325,218,900 | arxiv | \section{Introduction}
With the advent of social media, irony and sarcasm detection has become an active area of research in Natural Language Processing (NLP) \cite{joshi2016automatic,riloff,joshi2015,ghosh2017role}. Most computational studies have focused on building state-of-the-art models to detect whether an utter... |
1,941,325,218,901 | arxiv | \section{Introduction}
Objects with sizes and masses between those of globular clusters and compact ellipticals ($r_h\sim10$--100 pc; $M_V\sim-9$ to $-14$) were first discovered in spectroscopic surveys of galaxy clusters (Hilker {\it et al.}~1999; Drinkwater {\it et al.}~2000). They were quickly dubbed ``ultra-compac... |
1,941,325,218,902 | arxiv | \section{introduction}
The single-particle Green's function is a basic tool for studying
the correlation effects in many-body systems. However, calculation
of this function in the case of a strongly correlated system is
not usually successful because such a calculation generally
requires nonperturbative treatment.... |
1,941,325,218,903 | arxiv | \section{Introduction}
\label{S-Introduction}
Global helioseismology has proven very successful at inferring large scale
properties of the Sun (for a review, see \opencite{jcd.review}; \opencite{jcd0}). Because they
are very robust, the extension of methods of global helioseismology
to study localized variations... |
1,941,325,218,904 | arxiv | \section{}
\tableofcontents
\section{Introduction}
\label{sec1}
Einstein's general theory of relativity is the most successful theory of
gravity which describes the movement of the planets in the solar system as
well as the dynamics of the expanding universe.
On the other hand, higher-dimensional gravity has... |
1,941,325,218,905 | arxiv | \section{Introduction}\label{int}
The Herbig Ae/Be stars (HAEBEs) are
pre-main sequence (PMS) objects of masses of 1.5 to 10\,M$_{\sun}$
\citep{herb,fm,the}.
In their spectra, they frequently reveal evidence of a complex
structure of the circumstellar (CS) material surrounding the star.
According to common views, the... |
1,941,325,218,906 | arxiv | \section{Introduction}
\label{Section:introduction}
Networks are used in many scientific fields such as biology
\citep{Article:Albert:2002} and social
sciences \citep{Article:Snijders:1997,Article:Nowicki:2001}. They aim at modelling with
edges the way objects of interest are
related to each other. Exa... |
1,941,325,218,907 | arxiv | \section{Introduction}
\label{sec:intro}
Speaker verification aims to recognize claimed identities of speakers.
After decades of research, current speaker verification systems have achieved
rather satisfactory performance, especially
with the i-vector model~\cite{dehak2011front}, or embedding models based on
deep ne... |
1,941,325,218,908 | arxiv | \section{Introduction}
\label{sec:intro}
Stellar flares are dramatic multi-wavelength outbursts that originate in the reconnection of magnetic field lines at the surfaces of stars across the main sequence. A typical flare event stretches from the stellar photosphere to the corona, with high energy particle acceleration... |
1,941,325,218,909 | arxiv | \section{Introduction}
When dealing with Hecke algebras with respect to a group $G$ and a subgroup $U$, one is interested in the characterisation of $k \in U g U$ and $k \in U g U h U$ for $g, h, k \in G$, since these conditions appear in formulas for the calculation of products in the algebra (\cite{Krieg:Hecke} I\,(... |
1,941,325,218,910 | arxiv | \section{Introduction}
The issue of Mira pulsation modes has long been an issue of diameters. Velocity amplitude measurements \citep{Bessell1996} and period-luminosity relations \citep{Wood2000} are evidence in favor of the fundamental pulsation mode hypothesis, while measured diameters \citep{Tuthill1994} in the past... |
1,941,325,218,911 | arxiv | \section{Introduction}
The existence of defects is inherent in materials, despite the more and more efficient growth techniques. \cite{bookdefects} Defects may cost energy to be created, however, in some cases the configurational entropy can make favorable the incorporation of a certain concentration of defects in ord... |
1,941,325,218,912 | arxiv | \section{Introduction}
\renewcommand{\thefootnote}{\fnsymbol{footnote}}
Let $(Z_{t}=X_{t}+iY_{t},t\geq0)$ denote a standard planar
Brownian motion\footnote[4]{When we write: Brownian motion, we always mean real-valued Brownian motion, starting from 0. For 2-dimensional Brownian motion, we indicate planar or comple... |
1,941,325,218,913 | arxiv | \section{Introduction}
The quantification of the effect of parton energy loss, known as jet
quenching, is one of the major goals of jet and high \pt\ measurements
in heavy-ion collisions. The aim of jet reconstruction is to gain more
direct access to the orignal parton properties and the modification of
their fragment... |
1,941,325,218,914 | arxiv | \section{Introduction}
Let $X=\{X_t:t\geq 0\}$ be a spectrally negative L\'evy process
defined on filtered probability space
$(\Omega,\mathcal{F},\{\mathcal{F}_t:t\geq 0\},\mathbb{P})$. That
is to say that $X$ is a stochastic process starting from zero,
having stationary and independent increments with c\`adl\`ag... |
1,941,325,218,915 | arxiv | \section{Introduction}
Cross-modal retrieval aims to search for data with similar semantic meanings across different content modalities, such as audio-text tag search in music recommender systems~\cite{music-retrieval} and image-text search in web search~\cite{nuswide,figexplorer}.
In cross-modal retrieval scenarios, ... |
1,941,325,218,916 | arxiv | \section{Introduction}
\textbf{Overview:}
In recent years, a wide range of underwater applications---such as multimedia coastal and tactical surveillance, offshore exploration, seafloor mapping, submarine volcanism, and hydro-thermal vent studies---have been developed that require multimedia data to be captured, retri... |
1,941,325,218,917 | arxiv | \section{Introduction}
\label{sec:intro}
For two reasons a
need has developed to be able to compute the annihilation line
emissivity in a thermal plasma both exactly and rapidly.
First, relatively broad and resolved
annihilation lines have been observed in the galactic black hole
candidates Nova Muscae (Gilfanov et... |
1,941,325,218,918 | arxiv | \section{Introduction}
Let $\msn$ denote the symmetric group of all permutations of $[n]$, where $[n]=\{1,2,\ldots,n\}$.
A permutation $\pi=\pi(1)\pi(2)\cdots\pi(n)\in\msn$
is {\it alternating} if $\pi(1)>\pi(2)<\cdots \pi(n)$. In other words, $\pi(i)<\pi({i+1})$ if $i$ is even and $\pi(i)>\pi({i+1})$ if $i$ is odd.... |
1,941,325,218,919 | arxiv | \section*{Abstract}
{\bf We report the imaging of magnetic domains in ferromagnetic CoNiB nanotubes with very long aspect ratio, fabricated by electroless plating. While axial magnetization is expected for long tubes made of soft magnetic materials, we evidence series of azimuthal domains. We tentatively explain these ... |
1,941,325,218,920 | arxiv | \section{Introduction}
Our work is motivated by the recently proposed stochastic models in opinion diffusion~\cite{GarimellaGPT17,BeckerCDG19}, where an extension of the \textsc{Target Set Selection}\xspace (\textsc{TSS}\xspace for short) problem is proposed. \textsc{TSS}\xspace was introduced by Domingos and Richards... |
1,941,325,218,921 | arxiv | \section{Introduction}
Machine learning (ML) algorithms such as gradient boosting, random forest and neural networks for regression and classification involve a number of {\it hyperparameters} that have to be set before running them. In contrast to direct, first-level model parameters, which are determined during trai... |
1,941,325,218,922 | arxiv | \section{Introduction}
In 1963, Lorenz \cite{Lo} introduced the following system of equations
\begin{equation}\label{LS}
\dot x = -10x+10y, \,\, \dot y = 28x-y-xz, \,\, \dot z = -\frac{8}{3}z+xy
\end{equation}
as a simplified model for atmospheric convection. Numerical simulations performed by Lorenz showed that the a... |
1,941,325,218,923 | arxiv | \section{Introduction}
In 1970, Donald Knuth discovered the so-called Knuth relation, using it as a tool for studying the RSK (Robinson-Schensted-Knuth) correspondence \cite{Kn}. The RSK correspondence is a bijection between permutations in $S_n$ (for fixed $n$) and pairs of standard Young tableaux of the same shape ... |
1,941,325,218,924 | arxiv | \section{Introduction}
Due to their potential brightness at wavelengths ranging from radio to gamma-rays,
gamma-ray bursts (GRBs) and
their afterglows can be used as powerful astrophysical probes. They are
momentarily bright enough to be observed anywhere in the Universe, even if
located in the most dusty environments... |
1,941,325,218,925 | arxiv | \section{Introduction}
\label{sec:intro}
Gravitational wave signals from binary black hole merger events are
now routinely computed in numerical simulations. For generic spin
configurations and at least for moderate mass ratios, various aspects
of the problem are well understood; this includes the initial data,
nume... |
1,941,325,218,926 | arxiv | \section{Introduction}
First spherically-symmetric solutions were discovered more than 100 years ago. The existence of real objects described by these spherically-symmetric and axially-symmetric metrics was proven by the observations not so long ago. The results on binary systems dynamics \cite{Orosz:2011np}, gravitat... |
1,941,325,218,927 | arxiv | \section{Introduction}
In this paper we construct a nonsingular bouncing cosmology with an Ekpyrotic contracting phase. The model is free from the problems typically associated with `matter bounce' or pure Ekpyrotic models. Both the matter bounce (see e.g. \cite{RHB2011rev} for a recent review) and the Ekpyrotic scena... |
1,941,325,218,928 | arxiv |
\section{Introduction}
Measuring the causal impact of online advertising is important for both advertisers and digital advertising platforms. For advertisers, understanding the impact of advertising is essential for evaluating past campaign performance and optimizing future spending. Comparing the causal effect to t... |
1,941,325,218,929 | arxiv | \section{Introduction}
Let $X$ be a projective bundle over a smooth projective variety $B$.
This means that $X=\mathbb{P}(E)$, where $\pi: E\to B$ is a holomorphic vector bundle of rank $r$, say. We study the behavior of the solution $\omega=\omega(t)$ of the
K\"ahler-Ricci flow on $X$ starting at a K\"ahler metric $\... |
1,941,325,218,930 | arxiv | \section{Introduction and statement of the results}
Positive trigonometric sums play an important role in Harmonic
Analysis, Orthogonal Polynomials, Approximation Theory and many
other branches of mathematics. In this note we discuss two
trigonometric inequalities which appear in the book of R. Askey
\cite{RA1975}. The... |
1,941,325,218,931 | arxiv | \section{Introduction}
In strongly correlated Fermi systems
electron-electron interactions
can have drastic effects
on the geometry and the topology of the Fermi surface.
For example, strong
forward scattering can give rise to a Pomeranchuk instability,
where the shape of the Fermi surface spontaneously change... |
1,941,325,218,932 | arxiv | \section{Main result}
The center subgroup of the special unitary group $SU(n)$ is the cyclic group
$\mathbb{Z}_{n}$ of order $n$ generated by the diagonal matrix $diag\{e^
\frac{2\pi }{n}i},\cdots ,e^{\frac{2\pi }{n}i}\}\in SU(n)$. Let
c:SU(n)\rightarrow PSU(n):=SU(n)/\mathbb{Z}_{n}$ be the quotient
homomorphism... |
1,941,325,218,933 | arxiv | \section*{Observations}
NGC 4449 is a bright Magellanic irregular galaxy at a distance of 5.4
Mpc\cite{rsh:bomans}. Its absolute FUV magnitude is estimated at $-20.2$, as
compared to $-18.8$ for the Large Magellanic Cloud (LMC), $-19.3$ for the Local
Group Sc spiral M33, and $-21.8$ for the SBc spiral M83\cite{rsh:roc... |
1,941,325,218,934 | arxiv | \section{Introduction}
Single photons are nowadays key elements in quantum technologies, as
quantum networking for distributed computation, communication and
metrology \cite{nielsen00,Bouwmeester,Qinternet,Kimble2008,ciracQuantumOpticsWhat2017a}. Sources producing single photons have
been widely developed \c... |
1,941,325,218,935 | arxiv | \section{Introduction}\label{intro}
Examples of the interaction between combinatorics and algebraic geometry are
abundant: the polynomial method that was recently surveyed by
Terence Tao \cite{tao}; the Combinatorial Nullstellensatz of Noga Alon \cite{alon};
the affirmative answer to the conjecture of Read and Rota-He... |
1,941,325,218,936 | arxiv | \section{Introduction}
This paper concerns the nonparametric estimation of a regression
function $g(x)$
that regresses $Y$ on $X=x$, where the nonnegative variable $Y$ is subject
to various filtering schemes and where $X$ is an observed vector of
regressors. We consider both the mean and the median regression ca... |
1,941,325,218,937 | arxiv | \section{Introduction}
One of the main advantages of observational solar physics\replyonedel{ and many other forms of observational astronomy} has traditionally been the ability to resolve the individual features on the surface of the Sun. Many advances in solar physics have been, at least in part, due to advances in o... |
1,941,325,218,938 | arxiv | \section{Introduction}
\indent
In recent publications \cite{lkb95}, Li, Ko and Brown showed that the dilepton
production data of CERES \cite{CERES} and HELIOS-3 \cite{HELIO}
can be simply and quantitatively understood if the mass
of the vector mesons $\rho$ and $\omega$ scales in dense and/or hot medium
according to t... |
1,941,325,218,939 | arxiv | \section{Introduction} \label{S:INTRO}
One of the main problems in star formation is to explain
the wide range
of scales over which multiple systems form. The observed
distribution of binary separations (e.g Duquennoy \& Mayor 1991,
hereafter DM91; Fischer \& Marcy 1992, hereafter FM92) extends
from $10^{-2}\,{\rm... |
1,941,325,218,940 | arxiv | \section{Introduction}\label{sec:intro}
Let $\Omega$ be a bounded convex polygonal domain in $\mathbb R^d\,(d=1,2,3)$
with a boundary $\partial\Omega$, and $T>0$ be a fixed value.
We are interested in efficient numerical methods for
the following fractional-order evolution equation of
$u(t):(0,T)\rightarrow H^1_0(\Omeg... |
1,941,325,218,941 | arxiv | \section{Application to quantum repeaters}
\label{sec_quantum_repeaters}
As a direct application of the proposed CP gate, we consider quantum key
distribution using quantum repeaters based on atomic
ensembles~\cite{dlcz_nature2001_sm,sangouard_rmp11_sm}. We modify one of the fastest
known repeater protocols for atom... |
1,941,325,218,942 | arxiv | \subsubsection{Learning results}
Figure \ref{fig: NPZD_Complexity T=5 Prior} shows the state and parameters of the system at $t=5$, just before the first observational episode.
The most distinctive difference is between the true and mean detritus fields. Since the true model is NPZ, the true detritus field is equal ... |
1,941,325,218,943 | arxiv | \section{Introduction}
\label{intro}
\begin{table*}
\begin{center}
\caption{Line parameters obtained from Gaussian fits (Cols. 2--6), and total column densities (beam averaged)
of \mbox{HCNH$^+$}\ obtained from the spectra of the $J=3-2$ line (Fig.~\ref{fig:spectra}) as explained in Sect.~\ref{res}.
The assumed excit... |
1,941,325,218,944 | arxiv | \section{Introduction}
\label{sec.intr}
For systems of (partial or ordinary) differential equations that have a Lagrangian formulation
it is well-known that conserved currents can be obtained from variational symmetries
by Noether's theorem (see Theorem 5.58 and Definition 5.51 in \cite{Olver}).
For non-variational... |
1,941,325,218,945 | arxiv | \section{Introduction}
A 0.5-\micron-wide 6.9~\micron\ absorption feature is of interest in a wide
astronomical context because the feature is seen in young stellar
objects and molecular clouds which have a complex inventory of dust
features due to ices, carbonaceous materials and silicates. The
feature also seems to... |
1,941,325,218,946 | arxiv | \section{\label{sec:1}Introduction}
Metasurfaces\cite{ogawa2018metal}, a new class of metamaterials that construct planar structures on surface, provide a non-traditional approach to manipulate the light behavior as well as the thermal radiation. For now, a plethora of distinctive phenomena have been demonstrated, suc... |
1,941,325,218,947 | arxiv | \section{What is wrong with backpropagation}
The astonishing success of deep learning over the last decade has established the effectiveness of performing stochastic gradient descent with a large number of parameters and a lot of data. The gradients are usually computed using backpropagation \citep{backprop}, and this ... |
1,941,325,218,948 | arxiv | \section*{Acknowledgments}
This research was supported at NYU by NSF Grant DMR-1006575 and at UCSD by DMR-1008654 as well as the Partner University Fund (PUF) of the Embassy of France.
\bibliographystyle{apsrev}
|
1,941,325,218,949 | arxiv | \section{Introduction}
\footnotetext[1]{The data presented herein were obtained at the
W.M. Keck Observatory, which is operated as a scientific partnership
among the California Institute of Technology, the University of
California and the National Aeronautics and Space
Administration. The Observatory was made p... |
1,941,325,218,950 | arxiv |
\section{Introduction}
With the development of data acquisition and storage technology, large-scale data (i.e., big data) becomes ubiquitous in many fields such as computational neuroscience, signal processing, machine learning and pattern recognition \cite{cichocki2014era}. Among these fields, large amounts of multi-... |
1,941,325,218,951 | arxiv |
\section{Introduction~}\label{intro}
Given a set $S$ of $n$ distinct keys from the universe
$\{0,\dots,m-1\}$, possibly the most fundamental data structuring
problem that can be defined for $S$ is the {\it dictionary\/} problem:
to store $S$ so that {\it membership\/} queries of the form ``Is $x$
in $S$?'' can be ans... |
1,941,325,218,952 | arxiv |
\section{Introduction}
Large-scale benchmarks such as Imagenet \cite{russakovsky2015imagenet}, SQuAD \cite{rajpurkar2018know} and architectural development in models such as CNNs \cite{amari2003handbook} and transformers \cite{vaswani2017attention} have propelled our progress in deep learning. However, creating high... |
1,941,325,218,953 | arxiv | \section{Introduction}\label{sec:intro}
The study of correlations has been renewed again by the
the discovery of high $T_c$ superconducting oxide
materials (HTSC),\cite{Bednorz-Muller} since
that these materials exhibit a short coherence
lenght, $\xi$, and a very large penetration depth, $\lambda$,
which become them ... |
1,941,325,218,954 | arxiv | \section{Introduction}
Primordial gravitational waves (PGW) have great potential to discover the physics of the early universe. A stochastic background of gravitational waves (GWs) are produced either during the inflationary period\cite{Grishchuk} or at the end of inflation but before the Big Bang nucleosynthesis (B... |
1,941,325,218,955 | arxiv | \section{Introduction}
The connections between complex (in particular K\"ahler) geometry
and supersymmetry have long been known. Well known examples
arise in the context of
string compactifications; $\mathcal{N}=1$ supersymmetry in
four dimensions requires the compact six dimensional manifold to be a
Calabi-Yau 3-fold... |
1,941,325,218,956 | arxiv | \section*{\normalfont\refname}}}
\addbibresource{mybibliography.bib}
\doublespacing
\pagenumbering{roman}
\pagestyle{plain}
\graphicspath{{images/}}
\titleformat{\chapter}[display]
{\singlespacing\bfseries\Huge}
{\titlerule\filright\Large\chaptertitlename\ \Large\thechapter}
{0pt}
{\filright}
[\titlerule]
\titlespaci... |
1,941,325,218,957 | arxiv | \section{Introduction}
Let $g\geq 2$. We say that a real number $\alpha$ is \emph{$g$-normal} if every preassigned sequence of digits, of length $k \geq 1$, occurs with the expected limiting frequency $g^{-k}$ in the base $g$ expansion of $\alpha$. This concept was introduced by Borel \cite{borel09} in 1909, who showed... |
1,941,325,218,958 | arxiv | \section{Introduction}
The general consensus in theoretical physics is that the final word on classical Electrodynamics has not yet been said. More than a hundred and fifty years have passed since its original inception by Faraday, Maxwell and many others in the 19th century, and we still face unsolved conceptual prob... |
1,941,325,218,959 | arxiv | \section{Introduction}
The compact X-ray binary system hosts either a neutron star
(NS) or a black hole (BH) candidate. Both systems show the similarity in their dependences
on the X-ray luminosity and spectral shape ( van
der Klis 1994a, 1994b, 2000; Belloni et al. 2002). The spectra of
X-ray binaries are generall... |
1,941,325,218,960 | arxiv | \section{Introduction}
We consider the problem of classification, where one is given a set of labeled data used for training, and from that data wishes to accurately assign labels to new unlabeled data. In the general problem, the class labels themselves have no relation to one another, however, data can often be organ... |
1,941,325,218,961 | arxiv | \section{Introduction and summary}
Einstein $(p+q)$-dimensional gravity minimally coupled to a $q$-form,
admits Freund-Rubin solutions \cite{Freund:1980xh} of the form AdS$_p\times M_q$, with $M_q$ a $q$-dimensional Einstein manifold of positive curvature.~When embedded in supergravity theories arising from low... |
1,941,325,218,962 | arxiv | \section{Publication notes}
\section{Introduction}
Many important planning domains naturally occur in continuous spaces involving complex constraints among variables.
Consider planning for an 11 degree-of-freedom (DOF) robot tasked with organizing several blocks in a room.
The robot must find a sequence of {\em pic... |
1,941,325,218,963 | arxiv | \part*{Supplementary Material}
\begin{table*}[ht!]
\begin{center}
\small
\setlength\tabcolsep{4pt}
\begin{tabular}{lrrrcccccccc}
\toprule
\noalign{\smallskip}
Dataset & \#Clips & \#Frames & \#Instances & 3D & Occl. & Pose Est. & Inst. Segm. & Depth Est. & Type \\... |
1,941,325,218,964 | arxiv | \section{Introduction}
Recently we \cite{fm}-\cite{fkm} have studied the finite temperature
spin correlation function
\begin{equation}
S^z(n;T,\Delta)={\rm Tr}\sigma_0^z \sigma_n^z e^{-H/kT}/{\rm Tr}e^{-H/kT}
\label{sz}
\end{equation}
for the spin 1/2 XXZ spin chain \cite{bet}-\cite{yyc}
\begin{equation}
H={1\over 2}... |
1,941,325,218,965 | arxiv | \section{Introduction}
The string theories give rise to effective models of gravity in higher dimensions with higher order curvature terms in the action when approaching the low energy limit. The Gauss$-$Bonnet (GB) Lagrangian, including higher order curvature terms, in four dimensions ($4D$), can be represented as ... |
1,941,325,218,966 | arxiv | \section{INTRODUCTION}
The goal of this paper is to investigate the asymptotic behavior of the Nadaraya-Watson estimator
of the regression function $f$ in the semiparametric regression model given, for all $n\geq 1$, by
\begin{equation}
\label{SEMPAR}
Y_{n}=f(\theta^{\prime} X_{n})+\varepsilon_{n}
\end{equation}
wh... |
1,941,325,218,967 | arxiv | \section{Introduction}
Gapped quantum systems at zero temperature may manifest distinct topologically ordered phases of matter~\cite{Wen04,Nayak08}.
Topological phases are characterized by emergent phenomena that cannot be distinguished by local observables and do not require nor depend on symmetries of the system.
As... |
1,941,325,218,968 | arxiv | \section{Introduction}
Eigenvalues and singular values of sums and products of random matrices have been studied extensively over the last decade. The focus of the research has been the global density of the eigenvalues and singular values of the sum and product of large random matrices. As the dimension of random mat... |
1,941,325,218,969 | arxiv | \section{Introduction}
The non-equilibrium dynamics of molecular (diatomic/polyatomic) gas is commonly encountered in aerospace engineering. For example, at a high Mach number, the air surrounding an aircraft decelerates and heats up rapidly after compression by shock waves, which causes strong energy conversion from ... |
1,941,325,218,970 | arxiv | \section{Introduction}
\label{S:11}
Chemometric classification methods are often used to discriminate high-dimensional chemical signatures of unknown samples to determine their most likely class label \cite{patternrec}. These methods have proven to be valuable for the fields of archeaometry and forensics where the ... |
1,941,325,218,971 | arxiv | \section{Introduction}
Evolutionary algorithms (EAs) are applicable to various global optimization problems~\cite{vikhar2016evolutionary}. In this work, we focus on single-objective continuous optimization, in which EAs have proven to be particularly useful~\cite{boussaid2013survey}.
The widely known Differential Evo... |
1,941,325,218,972 | arxiv | \chapter{Was ist das Quasiergodenproblem?}
\begin{flushright}
Allen Geduldigen: Bestandsaufnahme.\\
\end{flushright}
Sind wir nun reich?
Nein, denn es ist kein Preisgeld auf die L"osung des
Quasiergodenproblemes gesetzt.
Und deshalb ist auch nicht mit wenigstens derjeniger
Genauigkeit bestimmt, die rechtliche Anspr"... |
1,941,325,218,973 | arxiv | \section{Introduction}
A contact binary typically consists of two main sequence stars of the F, G or K spectral type that are orbiting around their common center of mass. According to the most accepted model, both components are filling their Roche lobes and making physical contact through the inner (L1) Lagrangian poi... |
1,941,325,218,974 | arxiv |
\section{Experimental evaluation}\label{sec:eval}
In this section we present the results of our evaluation study, with two main experiments:
\begin{inparaenum}[(1)]
\item subjective assessment of generated images and
\item accuracy of generated segmentation masks measured against the ground truth.
\end{inparaenum}
\... |
1,941,325,218,975 | arxiv | \section{Introduction}
\setcounter{equation}{0}
Electromagnetic radiation is intrinsically quantum mechanical in
nature. Nevertheless it has been found extremely fruitful, at
both conceptual and practical levels, to designate certain
states of quantised radiation as being essentially
``classical'', and others as being
... |
1,941,325,218,976 | arxiv | \section{Introduction}
Let $F=F_N$ denote the rank-$N$ free group, with $N \geq 4$. A \emph{factor} is a conjugacy class of non-trivial, proper free factors of $F_N$; a conjugacy class of elements of $F_N$ is \emph{primitive} if any of its representatives generates a representative of a factor. A \emph{curve} is a o... |
1,941,325,218,977 | arxiv | \section{Introduction}
At present several classes of neutron stars (NSs) with strong magnetic field
are known. They include X-ray dim isolated NSs
(XDINSs, \citealt{Haberl:07}),
central compact objects (CCOs) in supernova
remnants \citep{Pavlovetal:04}, anomalous X-ray pulsars
and soft-gamma repeaters (AXPs and SGR... |
1,941,325,218,978 | arxiv | \section{Introduction}
Deep Neural Networks (and other types of Machine Learning models) are data-hungry, computationally intensive algorithms capable of obtaining outstanding results in applications such as image classification and speech recognition.
As new models keep growing in size and complexity, their number of... |
1,941,325,218,979 | arxiv | \section{Introduction}
A new line of work~\cite{DworkFHPRR15,HU14,SU15,BassilyNSSSU16} demonstrates how differential privacy~\cite{DMNS06} can be used as a mathematical tool for guaranteeing statistical validity in data analysis. Specifically, if a differentially private analysis is applied on a sample $S$ of i.i.d.\ ... |
1,941,325,218,980 | arxiv | \section{Introduction}
\label{sec:intro}
\subsection{Motivation and related work}
Distributed optimization plays a central role in large-scale machine learning where gradient descent (GD) and its stochastic variant SGD are employed to minimize an objective function \cite{Zinkevich-10,Recht-11,Bekkerman-11,Dean-12,Chi... |
1,941,325,218,981 | arxiv | \section{Introduction}
The model I discuss in this talk conjugates the symmetry approach of
effective Lagrangians for heavy and light mesons\cite{rep} together with
dynamical assumptions on chiral symmetry breaking and confinement.
The reason for adding dynamical assumption is on one side the higher
predictivity on... |
1,941,325,218,982 | arxiv | \section{Introduction}
\paragraph{}
The emergent integrability of planar ${\cal N}=4$ SUSY Yang-Mills \cite{MZ,B}
and the dual string theory on $AdS_{5}\times S^{5}$ \cite{MSW,BPR}
has provided detailed information about the spectra of both theories
(for a recent review and additional references see
\cite{Serban}). ... |
1,941,325,218,983 | arxiv | \section{Introduction}\label{sec:introduction}
General relativity is a theory of gravity
which asserts that matter causes the four dimensional space-time
to be curved, and that our perception of
gravity is a consequence
of this curvature. Let $(N^4,\bar{g})$
be the space-time manifold with
metric $\bar{g}$ of sig... |
1,941,325,218,984 | arxiv | \section{Introduction}
Early studies of the broad line profiles in Type~1 Active Galactic Nuclei (AGN)
suggested that the large observed line widths ($\lower.5ex\hbox{$\; \buildrel > \over \sim \;$} 3000$~km~s$^{-1}$) are produced by
electron scattering within the photoionized gas
(Weymann 1970; Mathis 1970). With the ... |
1,941,325,218,985 | arxiv | \section{Introduction}
\label{sec:intro}
The LHC delivers proton and lead beams with an energy of $7~\rm{TeV}$ and $2.76~\rm{TeV}$ per nucleon, respectively, with world's highest intensity.
Fixed-target proton-gas collisions occur at a centre-of-mass energy per nucleon of up to $115~\rm{GeV}$ in the case of a hydrogen ... |
1,941,325,218,986 | arxiv | \section{Introduction}
The title of our conference, {\sl Fundamental Sources of Unpredictability},
invites the question: ``What are the obstacles and limitations to the
predictive power of the laws of physics?'' But in a quantum mechanical
world characterized by indeterminacy and distributed probabilities, in a
world... |
1,941,325,218,987 | arxiv | \section*{Introduction.}
Let $(M,g)$ be an n-dimensional Riemannian manifold and
$\phi$ a transformation on $M$. Then
$\phi$ is called a {\it conformal} transformation, if it preserves the angles.
Let $V$ be a vector field on $M$ and $\{\varphi_{t}\}$ be the local
one-parameter group of local transformations on ... |
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