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2,877,628,089,754 | arxiv | \section{Introduction}
Pouring is one of the most commonly executed tasks in humans' daily lives, especially for food preparation. In cooking scenarios, it is the most frequently executed motion \cite{pauliusiros2019}. Pouring is a challenging task given the variety of containers and materials we can find in a kitche... |
2,877,628,089,755 | arxiv | \section*{References}
\include{main.bbl}
\onecolumngrid
\newpage
|
2,877,628,089,756 | arxiv | \section{Introduction}
\noindent
We consider the perturbed sine-Gordon equation
\begin{equation}\label{SGE}
\t_{tt}-\t_{xx}+\sin\t=F(\varepsilon,x),~~~~t,x\in\mathbb R,~~~~\varepsilon\ll 1,
\end{equation}
which can be written as a system in first order formulation:
\begin{eqnarray}\label{SGE1 first order introductio... |
2,877,628,089,757 | arxiv | \section{Introduction}
The representation of 3D geometry is a key issue in the context of machine learning in general and deep learning in particular. A variety of approaches, from point clouds over voxel sets to range images, have been investigated.
When the input geometry is in the common form of a surface mesh, con... |
2,877,628,089,758 | arxiv | \section{Introduction}\label{introduction}
Helioseismology is the branch of heliophysics that uses measurements of the surface oscillations of the Sun to infer the properties of the solar interior. Global helioseismology, the study of the eigenfrequencies of the resonant oscillatory modes, has shed some light on the s... |
2,877,628,089,759 | arxiv | \section{Introduction}
Collective cell migration plays a major role in the regulation of vital biological processes, including tissue morphogenesis, wound healing, and tumor progression~\cite{Ladoux2017,Friedl2009,Hakim2017}. Cell migration is driven by the cytoskeleton, a network of multiple protein filaments, such a... |
2,877,628,089,760 | arxiv | \section{Introduction}\label{intro}
Beam position monitor (BPM) calibration is important for various
techniques that measure optical parameters in accelerators, such as
quadrupole errors, beta functions, and others. In this
paper a method to find those calibration factors, partially based on
the tools used in action... |
2,877,628,089,761 | arxiv | \section{Introduction}
In many areas of investigations, in natural as well as technical and
socio-economical sciences, a description of phenomena in terms of
(partial) differential equations (PDEs) is quite natural and has
received a lot of attention, also in recent years. However the
necessity of taking care of stoch... |
2,877,628,089,762 | arxiv | \section{Introduction}
Strategyproof mechanisms guarantee that the agents never find it convenient to misreport their types, that is, truth-telling is a dominant strategy. Such mechanisms play a key role to cope with selfish behavior, and they received a lot of attention also when considering protocols for optimally a... |
2,877,628,089,763 | arxiv | \section{Introduction}
The nonlinear properties of low-dimensional electron systems attract a great deal of attention for its fundamental significance as well as for potentially important applications in nanoelectronics. In response to microwave radiation and $dc$ bias, strongly nonlinear electron transport\cite{zudov... |
2,877,628,089,764 | arxiv | \section{Introduction}
\vspace{-0.3cm}
The diversity in the properties and applications of spinels with the general formula of AB\textsubscript{2}O\textsubscript{4} arises from the variety of cations, magnetic or nonmagnetic, that can be substituted at the tetrahedral A-sites and octahedral B-sites of the spinel struct... |
2,877,628,089,765 | arxiv | \section{Introduction}
The next generation wireless communication systems are expected to provide $1000\times$ increase in data traffic and support billions of internet-of-things (IoT) devices. However, the limitation of battery capacity will be a bottleneck and it is of vital importance to prolong the lifetime of ener... |
2,877,628,089,766 | arxiv | \section{Introduction}
Recent observations of gamma ray bursts (GRBs) supports the idea that these
objects may be distributed over cosmological ranges\cite{fishman94}. The GRBs
may be among the most luminous objects in the universe, with peak gamma ray
luminosities $L\sim 10^{51}\,{\rm ergs}/\sec $. There is evidence... |
2,877,628,089,767 | arxiv | \section{Introduction}
The detection and characterization of extrasolar planets is one of the most dynamic research fields in modern astrophysics. To date more than $5'200$ exoplanets and exoplanet candidates\footnote{\url{http://exoplanets.org} (as of July 17, 2017)} have been identified by various detection techniqu... |
2,877,628,089,768 | arxiv | \section{Introduction}
Prime numbers are generators of the multiplicative semigroup
${\mathbb N}^{*}$ (where ${\mathbb
N}^{*}=\left\{1,2,3,...\right\}$). It is well known, that it is
impossible to distinguish two different prime numbers using only
the "language of multiplication". If one wants to distinguish s... |
2,877,628,089,769 | arxiv | \section{Introduction}
Methods for \emph{online convex optimization} (OCO)
\citep{ShalevShwartz2012,Hazan2016} make it possible to optimize
parameters sequentially, by processing convex functions in a streaming
fashion. This is important in time series prediction where the data are
inherently online; but it may ... |
2,877,628,089,770 | arxiv | \section{Introduction}
In the recent past, there has been an ever increasing interest in studying Wireless Networked Control Systems (WNCS) that support time-critical-control applications which include, among many others, autonomous vehicle systems, automation of manufacturing processes, smart grids, Internet-of-Thing... |
2,877,628,089,771 | arxiv |
\section{Conclusion}
\label{sec:conclusion}
We have presented a framework for active learning of a library of Probabilistic Movement Primitives from demonstration. Our method leverages existing active learning techniques while utilizing the information encoded in the ProMPs to compute the active learning measure guid... |
2,877,628,089,772 | arxiv | \section{Introduction}
\begin{figure}[h]
\centering
\includegraphics[width=0.93\linewidth]{lm_eg.jpg}
\caption{The question ``Did Arsenal play Man United?'' cannot be answered because the predicate ``obliterate'' from the text snippet isn't in the Entailment Graph. A Language Model embeds ``obliterate'' so... |
2,877,628,089,773 | arxiv | \section{#1}\setcounter{equation}{0}}
\def{\rp\sigma} {{\bar\sigma}}
\def{[\sigmab]} {{[{\rp\sigma}]}}
\def{[\sigmab,\psu_\sigma]} {{[{\rp\sigma},{\hat\psi}_\sigma]}}
\def{[\sigmab_3]} {{[{\rp\sigma}_3]}}
\def{[\sigmab_3,\phu_3]} {{[{\rp\sigma}_3,{\hat\varphi}_3]}}
\def{[\sigmab_3,\phu_... |
2,877,628,089,774 | arxiv | \section{What is Research?}
Research is a logical and systematic search for new and useful
information on a particular topic. It is an investigation of
finding solutions to scientific and social problems through
objective and systematic analysis. It is a search for knowledge,
that is, a discovery of hidden truths. He... |
2,877,628,089,775 | arxiv | \section{Introduction}
Understanding the physical process of thermalization within the framework of quantum mechanical principle has been a
long-standing problem. Thermodynamics and statistical mechanics are built with the hypothesis of equilibrium
\cite{Landau1969,Kubo1991}, that is, over a sufficiently long time, ... |
2,877,628,089,776 | arxiv | \section{Introduction}
Recently, problems of out-of-distribution detection \cite{yang2021generalized} and anomaly detection \cite{1541882} have attracted interests in studies of deep neural networks (DNNs). It is a practical issue that DNNs show unexpected behaviors when testing samples come from unseen classes in trai... |
2,877,628,089,777 | arxiv | \section{Introduction}
Let $\pi\colon \mathfrak X\to D$
be a deformation of a compact K\"ahler manifold $X_0$ of dimension $n\geq 2$
over a disk $D$ in the complex plane.
Let $C_0$ be a compact reduced curve (when $n = 2$) or a compact smooth complex manifold
of dimension $n-1$ (when $n>2$).
Let $\varphi_0\colon C_... |
2,877,628,089,778 | arxiv |
\section{Full results}
\label{app:results}
Results start on next page.
\begin{sidewaysfigure}[h!t]
\includegraphics[width=\textwidth]{figures/qualitative_results/full/qual_results_0.pdf}
\end{sidewaysfigure}
\begin{sidewaysfigure}
\includegraphics[width=\textwidth]{figures/qualitative_results/full/qual_results... |
2,877,628,089,779 | arxiv | \section{Introduction}
Global warming and limited energy issues have increased the interest in the energy management and in particular heat losses. Indeed, heat wasted in energy production processes and thermal machines could in principle be better used in many applications if it could be guided or transport in a sim... |
2,877,628,089,780 | arxiv | \section{Introduction}
Galaxy redshift surveys have been established as a pillar of observational cosmology over the past several decades. The large-scale structures, traced by galaxies, reveal the imprint of the baryon acoustic oscillation (BAO), a feature that can be used to measure the expansion history of the Univ... |
2,877,628,089,781 | arxiv | \section{\label{sec:level1}Introduction}
Splitting a secret message in way that a single person is not able
to reconstruct it is a common task in information processing and especially high security applications.
Suppose e.g. that the launch sequence of a nuclear missile is
protected by a secret code, and it should be ... |
2,877,628,089,782 | arxiv | \section{Introduction}
Most of the planets found in {\it Kepler} multi-planetary systems lie outside mean-motion
resonances (MMRs). This seems incompatible with a formation process strongly affected by planet
migration and may either indicate that planets formed in-situ (e.g. \cite{2012ApJ...751..158H,
2013ApJ...770... |
2,877,628,089,783 | arxiv | \section{\label{sec:introduction}Introduction}
Einstein's theory of general relativity \cite{einstein1916} has enjoyed overwhelming success since its inception, predicting phenomena that have been observed in our solar system and beyond, including the perihelion precession of Mercury, relativistic effects in the Hulse... |
2,877,628,089,784 | arxiv | \section{Introduction}
\label{sec:introduction}
Planets orbiting subgiant stars offer the possibility to analyze a broad set of physical processes that are not at play with main-sequence stars. These phenomena range from the
atmospheric expansion and evaporation mechanisms,
the orbital period decay,
the influence of s... |
2,877,628,089,785 | arxiv | \section{Introduction}
If Supersymmetry (SUSY) is realized at the TeV-scale or below it will
be probed at the Large Hadron Collider (LHC). Experimental
studies will be possible through the direct production of SUSY
particles. In particular colored particles will be copiously
produced, so squark and gluino production ... |
2,877,628,089,786 | arxiv | \section{Introduction}
Dark matter is thought to be an important component of the Universe
and research into its nature is actively pursued using a variety of
techniques. Dark matter may be weakly interacting massive particles
(WIMPs) which would tend to accumulate at the bottom of gravitational
potential wells, such... |
2,877,628,089,787 | arxiv | \section{Introduction}
L'article de Bell\cite{bell1964} où il a proposé ses inégalités devenues célèbres,
on en verra le contenu plus loin, est peut-être encore aujourd'hui
l'article de physique le plus cité. L'article d'Einstein, Podolsky,
Rosen\cite{EPR} auquel ces inégalités sont dites être confrontées n'est pas lo... |
2,877,628,089,788 | arxiv | \section{Introduction}
\label{secintro}
Consider the classic finite-horizon Linear Quadratic (LQ) optimal control problem. In particular, consider the discrete linear time-invariant system governed by the difference equation
\begin{eqnarray}
\label{eqsys}
x_{t+1} = A\,x_t+B\,u_t,
\end{eqnarray}
where $A \in {\mathbb{R}... |
2,877,628,089,789 | arxiv | \section{Introduction}
The properties of particle dark matter remain unknown. Searches with direct detection experiments are one of the most promising ways of detecting dark matter through an interaction other than gravity. A positive detection is expected to yield information on the particle mass, the cross-section an... |
2,877,628,089,790 | arxiv | \section{Introduction} Let $S(\infty)$ denote the group
whose elements are finite permutations of $\{1,2,3,\ldots\}$. The
group $S(\infty)$ is called the infinite symmetric group, and it
is a model example of a "big" group. The harmonic analysis for
such groups is an active topic of modern research, with
connections t... |
2,877,628,089,791 | arxiv | \section{Introduction}
Progress on our understanding of the neutrinos continues to be exhilarating. This progress is due mainly to experiments on neutrino oscillation. Here, we explain the physics of oscillation in vacuum and in matter.
\section{The physics of neutrino oscillation}
Treatments of the physics of neutr... |
2,877,628,089,792 | arxiv | \section{Introduction}\label{sect:introduction}
The derivation of non-local form factors in the semiclassical theory
of massive matter fields on a classical curved background has several
interesting applications. The calculation in the higher derivative
vacuum sector \cite{apco,fervi} (see also \cite{Codello:2012... |
2,877,628,089,793 | arxiv | \section{Introduction}
\begin{figure}
\centering
\includegraphics[width=0.47\linewidth]{Bolt2/0020.png} \includegraphics[width=0.47\linewidth]{Bolt2/0232.png} \\
\vspace{0.1em}
\includegraphics[width=0.47\linewidth]{CarScale/0005.png} \includegraphics[width=0.47\linewidth]{CarScale/0202.png} \\
\includegraphics[w... |
2,877,628,089,794 | arxiv | \section{Introduction}
The computational cost of the exact solution of the realistic extended many-electron problem is believed to be exponential in the number of degrees of freedom, necessitating the development of accurate approximate methods able to capture interacting electron physics.\cite{Dirac29}
While mature t... |
2,877,628,089,795 | arxiv |
\section{Introduction}
In a recent paper of E. Formenti and K. Perrot (FP) \cite{FP20}, whose title explicitly involves \virg{sandpiles on lattices}, it is formalised a
$d$--dimensional lattice of \emph{cells} $\IZ^d$ on which \emph{configurations} are defined as mappings $c:\IZ^d\to\IN$ assigning to any cell of the l... |
2,877,628,089,796 | arxiv | \section{ introduction and main results}
Let $A_n$ be an $n\times n$ matrix with real or complex entries. The linear statistics of
eigenvalues $\lambda_1,\lambda_2,\ldots, \lambda_n$ of $A_n$ is a
function of the form
$$
\frac{1}{n}\sum_{k=1}^{n}f(\lambda_k)
$$
where $f$ is some fixed function. The function $f$ is kno... |
2,877,628,089,797 | arxiv | \section{Introduction}
Renormalized perturbative quantum field theory describes large parts of physics, in particular particle physics, with good, and sometimes spectacular precision. It is, however, a conceptually and technically complicated subject, and it required hard and ingenious work to put the original treatmen... |
2,877,628,089,798 | arxiv | \section{Introduction}
Calorimetric studies have long been valuable tools for rigorous tests of physical law, ranging from Joseph Black's early work on latent heat, to measurements of the metallic specific heat showing the inadequacy of Drude's classical model. More recently, the high degree of control available in co... |
2,877,628,089,799 | arxiv | \section{Introduction}
When a plasma comprised of different ionic species crystallizes, the newly-formed solid generally has a different composition than the coexisting liquid. This composition change is characterized by a phase diagram. Accurate phase diagrams of multicomponent plasmas are essential for the study of d... |
2,877,628,089,800 | arxiv | \section{Introduction}
\label{sec:intro}
In cellular wireless systems, mobility is achieved through handover (HO) mechanism. This enables UEs to move seamlessly within the coverage area of the network. The HO mechanism involves reassigning an ongoing session handled by one cell into another. A UE in the network wil... |
2,877,628,089,801 | arxiv | \section{Introduction and statement of the results}
Bounded cohomology of discrete groups was introduced into geometry by Gromov \cite{Gromov/Volume-and-bounded-cohomology}. The theory was subsequently extended to locally compact second countable groups by Burger and Monod \cite{Burger/Bounded-cohomology-of-lattices-i... |
2,877,628,089,802 | arxiv | \section{Introduction}
\label{sec:intro}
\input{intro.tex}
\section{The Graph Neural Network}
\label{sec:statement}
\input{problem_statement}
\section{Algorithm and Main Results}
\label{sec:analysis}
\input{analysis}
\bibliographystyle{aaai21}
\subsection{Algorithm Design}
We present the algorithm in Algorithm~\... |
2,877,628,089,803 | arxiv | \section{Introduction}
\label{sec:intro}
Measurements of the gravitational fields around galaxies have for many decades provided firm evidence for `dark matter': galaxies attract their constituent stars, each other and their surroundings more strongly than can reasonably be estimated on the basis of their visible conte... |
2,877,628,089,804 | arxiv | \section{Introduction} \label{sec:recintro}
\subsection{History and motivation} \label{ssec:motiv}
Rectangular cavities are perhaps the most frequently studied
geometries in connection with vacuum (Casimir) energy.
Nevertheless, there are still worthwhile things to say about them.
Although exactly solvable, they ... |
2,877,628,089,805 | arxiv | \section{Introduction}
\noindent In experiments on current induced switching of magnetization (see e.g. Ref.~\onlinecite{ref1}),
current passing through a thick polarizing magnet (PM) becomes
spin polarized. The spin polarized current (spin current) then flows through a
nonmagnetic layer (the spacer layer) and becomes ... |
2,877,628,089,806 | arxiv | \section{Introduction}
The important ingredient for quantum computation and information processing is the
presence of coherent superpositions. A single isolated two-level system can be
prepared in a coherent superposition of $|0\rangle$ and $|1\rangle$ states, and the
manipulation of such states leads to new possi... |
2,877,628,089,807 | arxiv | \section{Introduction}
Ever since its identification with a redshift 2.286 optical emission
line source by Rowan-Robinson et al. (1991), leading to an inferred
bolometric luminosity $\sim5 \times 10^{14} L_{\sun}$, the IRAS source
FSC10214+4724 has been the subject of enormous attention. Detections
of CO (Brown \& Va... |
2,877,628,089,808 | arxiv |
\section*{Abstract}
We study the infinite time dynamics of a class of nonlinear Schr\"odinger / Gross-Pitaevskii equations. In a previous paper, \cite{GaWe}, we prove the asymptotic stability of the nonlinear ground state in a general situation which admits degenerate {\it neutral modes} of arbitrary finite multiplic... |
2,877,628,089,809 | arxiv | \section{Introduction}
\label{sec:introduction}
The current Internet infrastructure draws far more power than needed
for its usual operation. At the same time, the network is still
growing, so this inefficiency translates to ever increasing power
demands with high monetary and environmental costs. For reference, the
o... |
2,877,628,089,810 | arxiv | \section{Introduction}
In the last few years, edge computing has received a lot of attention as an alternative to cloud computing, due to the multiple advantages it offers, such as low bandwidth usage, responsiveness, scalability~\cite{mach2017mobile} and privacy preservation~\cite{satyanarayanan2017emergence}.
Edge c... |
2,877,628,089,811 | arxiv | \section{Introduction}
\noindent In this review we study conjectured laws of the total mass of the Bacry-Muzy \cite{MRW}, \cite{BM1}, \cite{BM} Gaussian
Multiplicative Chaos (GMC) measures on the unit interval and circle with non-random logarithmic potentials. These measures are the most
tractable examples of GMC me... |
2,877,628,089,812 | arxiv | \section{Introduction}
I came across a certain set of Legendrian links while searching for
examples to illustrate the main theorem of my thesis \cite{en}, and they
served that purpose very well. Since then I kept returning to them because
I could always discover something pretty. This paper is a collection of
those fi... |
2,877,628,089,813 | arxiv | \section{Introduction}
Non-stationary time series have been investigated through several
approaches. In particular, the characterization of fluctuations and
their scaling behavior have been the focus of many studies, since
they reveal the nature of the dynamics. In this context, financial
time series have attracted co... |
2,877,628,089,814 | arxiv | \section*{abstract}
Synaptic connections are known to change dynamically.
High-frequency presynaptic inputs induce decrease of synaptic weights.
This process is known as short-term synaptic depression.
The synaptic depression controls a gain for presynaptic inputs.
However, it remains a controversial issue what are ... |
2,877,628,089,815 | arxiv | \section{Introduction}
Versions of the maximum principle for complex-valued functions defined on a domain in $\CC$ have been
of interest since the development of the classical maximum modulus theorem and
Phragm\'en--Lindel\"of principle for holomorphic functions (see, e.g. \cite[Chap. V]{titchmarsh}).
It is impor... |
2,877,628,089,816 | arxiv | \section{Introduction}%
\label{sec:introduction}
One of the central paradigms of neuroscience is that computational function determines
connectivity structure: if a neural network is involved in a given task, its connectivity
must be related to this task. However, a given circuit's connectivity
also depends on develop... |
2,877,628,089,817 | arxiv | \section{Introduction}
The cosmological evolution of supermassive black holes (SMBH) is a
vibrant topic in modern astrophysics.
Its importance has been recognized ever since the discovery that virtually all massive galaxies in the local Universe host a central SMBH with a
mass proportional to that of the galaxy spher... |
2,877,628,089,818 | arxiv | \section{Sentence Meaning in Vector Spaces}
\label{sec:intro}
While for decades sentence meaning has been represented in terms of complex formal structures, the most recent trend in computational semantics is to model semantic representations with dense distributional vectors (aka \emph{embeddings}). As a matter of fa... |
2,877,628,089,819 | arxiv | \section{Introduction}
In recent years, we could witness a substantial paradigm shift in
sciences: relationships emerge from vast amounts of collected data
(sometimes dubbed \textit{big data}), and not just a few measurements.
Notable examples are customer recommendation systems of Amazon, eBay
and similar retailers, ... |
2,877,628,089,820 | arxiv |
\section{The Algorithm}
\label{sec:algo}
In this section, we will discuss the details of the routing-by-agreement scheme in the dynamic routing algorithm
based on which, an improved routing algorithm is proposed that targets directly at the discriminative power of class capsules.
\subsection{Dynamic Routing-by-Agree... |
2,877,628,089,821 | arxiv | \section*{Introduction}
One can find basic concepts of tropical algebra in \cite{MS}.
Given a tropical univariate polynomial
\begin{eqnarray}\label{1}
f=\min_{0\le k\le n} \{x_k+kY\}
\end{eqnarray}
its tropical zero $y\in \RR$ is such that the minimum in (\ref{1}) is attained for at least two different values o... |
2,877,628,089,822 | arxiv | \section{Introduction}
Free groups are ubiquitous in mathematics and their representation
theory has been widely studied. However, since a (finitely generated)
free group $\Gamma$ is not type I, the usual program of representation
theory in its na\"\i ve form, decomposing unitary representations into
irreducible ones... |
2,877,628,089,823 | arxiv | \section{Introduction}
Current cosmological models ascribe only about 4\% of the density in the
Universe to baryons \citep{2007ApJS..170..377S}. The majority of
these baryons reside outside of galaxies; stars and cold galactic gas
may account for about about one third \citep{1998ApJ...503..518F}.
Intergalactic baryon... |
2,877,628,089,824 | arxiv | \section{Introduction}
One of the most successful predictions in supersymmetric grand unified theories (GUTs) is a gauge
coupling unification at the GUT scale.
On the other hand,
any sufficient achievement of matter (Yukawa coupling) unification has not
been completed yet and it is one of the most important... |
2,877,628,089,825 | arxiv | \section{Introduction}
Statistical evidence against a hypothesis often relies on the asymptotic normality of a test statistic, as in the case of the commonly used Wald or score tests.
Many authors ignore the asymptotic nature of the argument and assume that in finite samples the distribution of the test statistic is i... |
2,877,628,089,826 | arxiv | \section{Introduction}
Neutrino conversions from one flavor to another combined with the change of the
particle helicity, e.g. $\nu_e^\mathrm{L} \leftrightarrow \nu_\mu^\mathrm{R}$, are
usually called neutrino spin-flavor oscillations (see Ref.~\cite{qmSFO}). This
neutrino oscillations scenario is important since it c... |
2,877,628,089,827 | arxiv | \section{Interacting dynamics in FLRW universe}
\label{dynamics}
Let us consider the homonegeous and isotropic universe characterized by the
Friedmann-Lemm\^itre-Robertson-Walker (FLRW) line element
$${\rm d}{\rm s}^2= -{\rm d}t^2+
a^2 (t) \left[{\rm d}r^2/(1-kr^2)+ r^2 ({\rm d} \theta^2+ \sin^2 \theta\, {\rm d}
\ph... |
2,877,628,089,828 | arxiv | \section{Introduction}
We study $r$-nets, a powerful tool in computational and metric geometry, with several applications in approximation algorithms.
An $r$-net for a metric space $(X,\norm{\cdot}), \, |X|=n$ and for numerical parameter $r$ is a subset $R\subseteq X$
such that the closed $r/2$-balls centered at the ... |
2,877,628,089,829 | arxiv | \section{Introduction}
Relativistic astrophysical jets are ubiquitous in astrophysical systems. Most collimated relativistic jets
extend between several thousands up to millions of parsecs \cite[e.g.,][]{blandford2019} and have been
observationally associated with the activity of central black holes in Active Galac... |
2,877,628,089,830 | arxiv |
\section{References}
|
2,877,628,089,831 | arxiv | \section{Introduction}
Arguably the strongest challenges presently faced by the otherwise
highly successful cold dark matter (CDM) paradigm for structure
formation in the Universe occur on `small scales', i.e.~within
individual dark matter halos. One of the most prominent of these
problems is the long standing and con... |
2,877,628,089,832 | arxiv | \section{Introduction}
Online video has become one of the most popular applications on the Internet,
and global Internet video traffic will grow threefold between 2016 and 2021 \cite{networking2016forecast}.
However, user viewing experience still needs improvements due to unstable network conditions and limited bandwid... |
2,877,628,089,833 | arxiv | \section{Introduction}
\subsection{Background}
\label{ssec:backg}
Fix a rational prime $p$.
For $q=p^a$ a power of $p$, denote by $\BF_q$ the finite field with $q$ elements, $\BQ_q$ the unramified extension of $\BQ_p$ of degree $a$ and $\BZ_q$ its ring of integers.
Let $f(x)\in\BF_q[x]$ be a polynomial of degree... |
2,877,628,089,834 | arxiv | \section{Introduction}
In the current scenario, electronic industries are facing the problems of power utilization and overheating of equipment. In the past decades, these issues were used to be solved by adopting the practice of reducing the size of traditional transistors which has also been miniaturized up to certa... |
2,877,628,089,835 | arxiv | \section{Introduction}
It is well known that an infinitely-differentiable function $f:I\longrightarrow \mathbb{R}$ can represented by its Taylor series expansion around a single point $a\in I$. This in turn defines the single-point Taylor polynomial (STP) as the partial sum of the series, given by
\begin{equation}
\la... |
2,877,628,089,836 | arxiv | \section{Introduction}
Kashiwara's crystals encode the structure of certain bases, called crystal bases \cite{Kashiwara 1991}, for highest weight representations of quantum groups $U_q(\mathfrak{g})$ as $q$ goes to zero \cite{Hong and Kang}. In this paper, we will focus on crystals corresponding to representations o... |
2,877,628,089,837 | arxiv |
\section{#1}\label{sec:#2}\vspace{-.1cm}}
\newcommand{\mysubsection}[2]{\subsection{#1}\label{sec:#2}\vspace{-.1cm}}
\newcommand{\mysubsubsection}[2]{\subsubsection{#1}\label{sec:#2}\vspace{-.1cm}}
\definecollection{mymaths}
\newcommand{\mymath}[2]{
\newcommand{#1}{\TextOrMath{$#2$\xspace}{#2}}
\begin{collec... |
2,877,628,089,838 | arxiv |
\section{Introduction}
The ATLAS and CMS collaborations have performed a large number of searches for new physics during Run~I of the LHC, targeting in particular supersymmetry in analyses based on missing transverse momentum. The implications of the (so far) negative results for new physics go well beyond the interp... |
2,877,628,089,839 | arxiv | \section{Introduction}
The global existence in time for nonlinear wave equation with small
data usually require high Sobolev regularity, when one dealt with
them by classical energy method (see \cite{Ch85}, \cite{Kl85} for
example). The purpose of this note is to give the sharp regularity
global existence for semiline... |
2,877,628,089,840 | arxiv | \section{Introduction}
User attributes are included in the seminal data sets of recommender system research, e.g., MovieLens~\cite{Harper2015MovieLens}.
From the days of demographic recommender systems, mentioned in~\cite{burke2007hybrid}, attempts have been made to use user attributes to improve recommendation.
With t... |
2,877,628,089,841 | arxiv | \section{Introduction}
\label{intro}
The multi-armed bandit (MAB) problem considers the strategy one must devise when playing a row of slot machines: i.e., which arms to play to maximize returns. This analogy extends to a wide range of interesting real-world challenges that require online learning while simultaneousl... |
2,877,628,089,842 | arxiv | \section{Correlated electrical conductance and Raman response data}
Here are several examples of correlated electrical conductance and
Raman response from nanojunctions with OPV3 assembled on them. In the
first three examples (Figures S1-3) the electrical conductance is on
the order of 0.01~$G_{0}$ with conductance fl... |
2,877,628,089,843 | arxiv | \section*{Introduction}
\medbreak
Prompted by findings of Kowalevski in her analysis of gyroscopic motion, Picard initiated a study of second-order ordinary differential equations of the form
$$\frac{{\rm d}^2 w}{{\rm d} z^2} = F\Big(z, w, \frac{{\rm d} w}{{\rm d} z}\Big)$$
in which the right side is analyti... |
2,877,628,089,844 | arxiv | \section{Introduction}
Pooling has been an essential component of modern machine learning, allowing pertinent local information to be propagated to global intermediate feature sets or final discriminators.
The shape of the pooling operation is typically determined by hand, setting the size of a convolutional filter an... |
2,877,628,089,845 | arxiv | \section{Introduction}
The deflection of light rays by massive objects results in magnification of distant light sources when a massive body passes close to the line joining light source and observer. For a simple point-source-point-lens system, the magnification over time (the "light curve") has a smooth symmetric fo... |
2,877,628,089,846 | arxiv | \section{Introduction}
\section{Probes of dark energy and dark matter}
Dark energy affects the cosmic history of the Hubble expansion H(z) as
well as the cosmic history of mass clustering. If combined, different
types of probes of the expansion history and structure history can
lead to percent level precision in dark ... |
2,877,628,089,847 | arxiv | \section{Introduction}\label{sec:introduction}
As the backbone of transportation systems in megacities, metro systems play a critical role in meeting the increasing demand of urban mobility. For example, the Beijing metro---a network consists of 22 lines and 391 stations---has an average daily ridership of more than 1... |
2,877,628,089,848 | arxiv | \section*{Acknowledgments}
We are grateful to P.~Draper, J.~Feng, P.~Kant, and S.~Profumo for
collaboration relevant to this work, and K.~Matchev for useful input
in preparing this manuscript. DS is supported in part by
U.S.~Department of Energy grant DE--FG02--92ER40701 and by the Gordon
and Betty Moore Foundation t... |
2,877,628,089,849 | arxiv | \section{Introduction}
Neutrinos are known to be massive and have mixing. Among the various ways to understand neutrino masses and mixing, discrete flavour symmetries are widely used in describing the mixing structure as well as offering testable predictions~\cite{King:2015aea,Petcov:2014laa}. $S_4$ is one of the popu... |
2,877,628,089,850 | arxiv | \section{Introduction}
\label{sec1}
Although in nature granular materials are usually immersed in a gas or liquid phase (like the air, for instance), the influence of the latter on the transport properties of solid particles is generally neglected in most theoretical and computational studies. However, high-veloc... |
2,877,628,089,851 | arxiv | \section{Introduction}
Recently, many papers display the influence of the Robin condition
on the spectrum of the Laplacian. In planar domains, the papers
\cite{GS, LP, Pan} and references therein contain asymptotics of the
principal eigenvalue. The tunneling effect for planar domains with
corners is discussed in the... |
2,877,628,089,852 | arxiv | \section{Supplementary information}
\subsection{The model}
We treat the cavity mode in second quantization, with $\hat n=\hat a^{\dagger}\hat a$ the photon number operator, $\hat a$ the bosonic operator destroying a quantum at energy $\hbar\omega_c$ and $\hat a^{\dagger}$ its adjoint. The resonator is driven by a cl... |
2,877,628,089,853 | arxiv |
\subsection{Independent Phase Shift-based Data Augmentation}
The first algorithm is based on the observation that in wireless systems, the clocks of different APs suffer from phase noise and drift that is independent between APs and independent of the phase of the UE.\footnote{Note that further phase variation/dri... |
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