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2,869,038,156,728 | arxiv | \section{Introduction}
Cancers in thoracic region are the most common cancers worldwide~\cite{sung2021global} and significant proportions of patients are diagnosed at late stages involved with lymph node (LN) metastasis. The treatment protocol is a sophisticated combination of surgical resection and chemotherapy and/o... |
2,869,038,156,729 | arxiv | \section{Introduction}
\label{sec:intro}
Observations within sensing applications result from the convolution between the latent signal and the sensors's transfer function, therefore, a desired property of the sensor is to have a transfer function that is close to a Dirac delta function so that the latent signal can be... |
2,869,038,156,730 | arxiv | \section{Introduction}
Toroidal Alfvén eigenmodes (TAEs) are discrete frequency MHD waves that exist in the toroidicity induced gap of the Alfvén continuum spectra in toroidal magnetized plasmas. TAEs are typically excited by an ensemble of energetic ions (e.g.\ coming from auxiliary heating or from fusion reactions) ... |
2,869,038,156,731 | arxiv | \section{Introduction}
\label{sec:introduction}
As the production of data is expanding at an astonishing rate and the era of big data is coming, organizing data via assigning items into groups is inevitable. Data clustering algorithms try to find clusters of objects in such a way that the objects in the same cluster ar... |
2,869,038,156,732 | arxiv | \section{Introduction}
Computing (or estimating) data similarities is a fundamental task in numerous practical applications. The popular method of random projections provides a potentially effective strategy for estimating data similarities (correlation or Euclidian distance) in massive high-dimensional datasets, i... |
2,869,038,156,733 | arxiv | \section{Introduction \label{sec:intro}}
Direct-imaging of Earth-like planets is a quite challenging but
indispensable technique to revolutionize our understanding of planets
in the near future. The amplitude modulation of a photometric
lightcurve from a {\it color-changing dot} is sensitive to its surface
pattern, a... |
2,869,038,156,734 | arxiv | \section{Introduction}
Field-atom entanglement is one of the hallmarks of strongly interacting cavity quantum electrodynamics (CQED) systems. This fundamental process is often used as a building block in the formation of entangled states of two or more atoms that serve as a resource for quantum information processing. ... |
2,869,038,156,735 | arxiv | \section{Introduction}
Decades after the experimental detection of the neutrino \cite{Reines 1953},
it was generally accepted that the neutrino mass $m_{0\nu}$ was rigorously
zero. The crucial experiments with the 50 kton neutrino detector
Super-Kamiokande found strong evidence for oscillations (and hence - mass)... |
2,869,038,156,736 | arxiv | \section{methods}
A schematic
of the spin valve configuration is depicted in Fig.~\ref{schematic}.
We model the
nanostructure
as a
${SF_1NF_2}$ layered system,
where $S$ represents the superconducting layer,
$N$ denotes the normal metallic intermediate layer,
and $F_1$, $F_2$
are the inner (free) and outer (pinn... |
2,869,038,156,737 | arxiv | \section{ Gradient estimates}
Let $(M^n,g(t))$, $t\in [0,T]$, be a (not necessarily complete) Ricci flow, and $u$ be a positive solution to the conjugate heat equation
\begin{equation*}
(\frac{\partial}{\partial t}+\Delta_{g(t)}-R_{g(t)})u=0
\end{equation*}
coupled with the Ricci flow on $M\times [0,T]$. Somet... |
2,869,038,156,738 | arxiv | \section*{Extended conjecture and counterexamples}
We begin with the following conjecture. We then provide
an infinite number of counterexamples.
\begin{conjecture}
\label{conjecture_higher}
Let $P$ be a simple polytope of dimension greater than or equal to $3$.
Then there exists a subset $S$ of the vertices ... |
2,869,038,156,739 | arxiv | \section{Introduction}
The Adversarial Multi Armed Bandit(MAB) problem proceeds as a sequential game of $T$ rounds between a player and an adversary. In each round $t=1,\dots, T$, the player selects a distribution $p_t$ over the $n$-arms and the adversary selects a loss vector $l_t$ belonging to some set $\mathcal{L} ... |
2,869,038,156,740 | arxiv | \section{Introduction}
The $\beta$ Cephei stars are a group of pulsating main sequence
variables with early B spectral types. They oscillate in radial and
nonradial pressure modes with typical periods of several hours. Stankov
\& Handler (\cite{SH05}) provide an overview of those stars. Pigulski \&
Pojma{\'n}ski (... |
2,869,038,156,741 | arxiv | \section{Introduction}
\label{intro}
Phase transitions and critical phenomena of quantum spin systems currently attract a great deal of
interest \cite{sach99}. As usual, the quantum Heisenberg model is used as a basic generating model
which should be appropriate for investigating quantum properties of insulating mag... |
2,869,038,156,742 | arxiv |
\section{Introduction}
Markov Decision Processes (MDPs) may be viewed as a discrete-time stochastic control problems for sequential decision making in situations where costs are partly random and partly under the control of a decision maker. Classical MDP theory is concerned with minimizing the expected discounted to... |
2,869,038,156,743 | arxiv | \subsection{Theory}
In what follows, we perform the calculation of the depletion, considering that the STED laser has a noisy component. We used a two-step fluorescence mechanism that only takes into account the ground electronic state $\mathrm{S_{0}}$ and the first electronic excited state $\mathrm{S_{1}}$ of the sy... |
2,869,038,156,744 | arxiv | \section{SUSY Seesaw Type I and Slepton Mass Matrix}\label{sec:1}
The observed neutrino oscillations imply the existence of neutrino
masses and flavor mixing, giving a hint towards physics beyond the
Standard Model. For example, the seesaw mechanism involving heavy
right handed Majorana neutrinos, which explains well t... |
2,869,038,156,745 | arxiv | \section{Introduction}
Let us first speak about the {\it principle of exclusion} (POE), introduced by the author in 2008, and then relate the POE to more familiar inclusion-exclusion (IE). That will involve, in the first paragraph, slightly more technicalities than usually encountered in an introduction.
Let $\Gamma'... |
2,869,038,156,746 | arxiv | \section{Introduction}
In this paper, our main motivation is to suggest a probabilistic construction of interactions in Euclidean Quantum Field Theory (QFT). QFT is a physical theory which combines field theory, already used in Classical Mechanics to describe Electromagnetism, and quantum mechanical principles, believ... |
2,869,038,156,747 | arxiv | \section{Introduction}\label{intro}
It is well known that any closed orientable 3-manifold admits a Heegaard decomposition along a splitting
surface $\Sigma$, that is, a decomposition with $M=H^1\cup H^2$, $H^1$ and $H^2$ being homeomorphic handlebodies and $H^1\cap H^2=\partial
H^1=\partial H^2=\Sigma$.
For a Heeg... |
2,869,038,156,748 | arxiv | \section{Introduction}
The study of the geometry of foliations often is related to the study of their transverse structure. Among the most comprehensible structures are those given by
actions of Lie groups on some homogeneous space. This is the case of the so called {\it transversely homogeneous foliations}... |
2,869,038,156,749 | arxiv | \section*{Acknowledgements}
\noindent The authors are grateful to the Council of Scientific and Industrial Research, New Delhi, India for financial support through Grant No.03(1152)/10/EMR-II of a scheme.
\section*{References}
\noindent 1. T.V. Ramakrishnan, \textit {J. Phys.: Condens. Matter} \textbf{19}, 125211 (... |
2,869,038,156,750 | arxiv | \section{Introduction}
In atoms the parity nonconserving (PNC) exchange of the Z$_{0}$ neutral gauge boson between the nucleons and electrons manifests itself as a non-vanishing electric dipole transition moment ($\mathrm{E1_{PNC}}$) between states of the same parity \cite{Bouchiat74, Bouchiat75}. Precision measureme... |
2,869,038,156,751 | arxiv | \section{Introduction}
The successful description of the spatiotemporal evolution of complex systems typically relies on detailed mathematical models operating at a fine scale (e.g.~molecular dynamics, agent-based, stochastic or lattice-based methods).
Such microscopic, first principles models, keeping track of the int... |
2,869,038,156,752 | arxiv |
\section{Introduction}\label{sec:introduction}
The $s$-$t$ maximum flow problem and its dual, the $s$-$t$ minimum cut on graphs are amongst the most fundamental problems in combinatorial optimization with a wide range of applications. Furthermore, they serve as a testbed for new algorithmic concepts which have found... |
2,869,038,156,753 | arxiv | \section{Introduction}
\label{intro}
Translational symmetries, which are ubiquitous in the physical world, play an important role in collective properties of large-scale networks of interacting systems. For example, thermodynamic and mechanical characteristics of crystalline solids (including the heat capacity and sp... |
2,869,038,156,754 | arxiv | \section{Introduction}
\noindent
One of the most basic classes of algorithmic problems in combinatorial optimization is the computation of shortest paths for all pairs of nodes in a directed graph.
The reader may consult the monograph of Schrijver \cite{Schrijver03:CO_A} for a comprehensive survey.
Here we study parame... |
2,869,038,156,755 | arxiv | \section{Introduction}
The technique of the Imaging Atmospheric Cherenkov Telescopes (IACTs) has successfully been
demonstrated as powerful tools for ground-based sub-TeV and TeV gamma-ray astronomy.
Approximately 50 sources have already been discovered by IACTs.
However, the energy range from 10 GeV to 100 GeV has n... |
2,869,038,156,756 | arxiv | \section{Introduction}
Symbiotic binaries, or symbiotic stars, are interacting binaries consisting of a hot compact object, usually a white dwarf (WD), though neutron stars are also possible, accreting material from a cool evolved giant. The donor star can be either a normal red giant (S-type) or a Mira type variable ... |
2,869,038,156,757 | arxiv | \section{Introduction}
Rumors may mislead people's judgments, affect people's lives, and cause adverse effects on society. For example, a mass of rumors about COVID-19 propagating on the Internet while the COVID-19 is spreading globally. And there have been rumors that \emph{Drinking alcohol can kill the new coronaviru... |
2,869,038,156,758 | arxiv | \chapter{Investigating bias in the Antarctic Circumpolar Current within HadGEM-GC3.1 models} \label{TJ_ACC}
Inspection of Antarctic Circumpolar Current (ACC) transport in HadGEM-GC3.1 models at different spatial resolutions reveals large differences in estimates for total transport through the Drake Passage. In this ... |
2,869,038,156,759 | arxiv | \section{Introduction}
There is now a wealth of evidence \cite{sn, wmap, sdss} indicating that the universe is currently in a period of accelerated expansion. One of the biggest challenges in cosmology today is understanding the origin of this late time acceleration.
One possibility is that $70\%$ of the energy conten... |
2,869,038,156,760 | arxiv | \section{Introduction}
This paper is a continuation of our study of $V^G$-module category $\mathcal{C}_{V^G}$ for a regular (rational and $C_2$-cofinite) vertex operator algebra $V$ with a finite automorphism group isomorphic to $G$ of $V$ (cf. \cite{DNR}). It is established that if $V^G$ is regular, the category $\ma... |
2,869,038,156,761 | arxiv | \section{Introduction} \label{Int}
The logical structure of General Relativity (GR) is one of the greatest achievements in theoretical physics. The current results from gravitational wave astronomy cements GR as the appropriate theory to describe the gravitational interaction. Although the open problem of dark energy a... |
2,869,038,156,762 | arxiv | \section{Introduction}\label{introduction}
Recently, in \cite{ DarbyHagerRao11,DarbyHagerRao10, FrancolinHagerRao13,
GargHagerRao11b, GargHagerRao11a, GargHagerRao10a, PattersonHagerRao14},
a class of methods was developed for solving optimal control problems
using collocation at either Gauss or Radau quadrature points... |
2,869,038,156,763 | arxiv | \section{Introduction}
Fast coherent instability of horizontal betatron oscillations of bunched proton beam
was observed in the Fermilab Recycler since 2014 as it is described
in Ref.~\cite{MAIN}.
It has been shown in this paper that the instability is caused by electron
cloud which arises at ionization of re... |
2,869,038,156,764 | arxiv | \section{Introduction} \label{section.introduction}
This paper analyses the geometry and invariant theory of the
Hermite invariant for binary quintics. We begin by recalling the
elementary properties of this invariant; the main results are summarised
on pages~\pageref{section.results.summary}-\pageref{end.summary}... |
2,869,038,156,765 | arxiv | \section{Introduction}
Local Lorentz Invariance, or more specifically the question of
whether this physical principle will be maintained or broken at
the Planck scale, has become a much debated topic both in the
theory and phenomenology of quantum gravity. On the
phenomenological side, constraints on violation of Lor... |
2,869,038,156,766 | arxiv | \section{Introduction}
Probing physics beyond the Standard Model\ requires high precision experiments
preferably, on quantities whose standard model values are suppressed.
A well known example of this type of observable
is the $ \rho $ parameter, whose values is very close to one due to
the $ \su2_R $ transformation p... |
2,869,038,156,767 | arxiv | \section{introduction}
The diluted Ising antiferromagnet Fe$_{x}$Zn$_{1-x}$F$_{2}$ in an
external magnetic field has proven to be a good model system for the
random-exchange Ising model (REIM) ($H\approx$ 0) and the random field
(RFIM) Ising model ($H>$ 0) \cite{one,two}. In the original
derivation of the equivalence... |
2,869,038,156,768 | arxiv | \section{Introduction}
Red supergiants and red giants are the most luminous stars in, respectively,
star forming or old passive galaxies. Being cool, they are the dominant
sources of near-IR light. In highly
reddened starburst galaxies, the near-IR light from red supergiants
is sometimes the only direct information av... |
2,869,038,156,769 | arxiv | \section{Introduction}
Since its beginning, the COVID-19 pandemic is accompanied by an `infodemic', in the course of which vast amounts of misinformation, hate speech, rumors and conspiracy theories are being spread, in particular through social and online media \cite[19]{depoux_pandemic_2020,the_lancet_infectious_dise... |
2,869,038,156,770 | arxiv | \section{Introduction}
The fundamental limit to the accelerating $E$-field in an SRF cavity
is the ability of the superconductor to resist penetration of the associated
magnetic field $H$ (or equivalently $B$). SRF cavities are routinely run
at peak magnetic fields above the maximum field $H_{c1}$
sustainable in equil... |
2,869,038,156,771 | arxiv | \section{Introduction}
The continuum description of a physical system requires to define a suitable,
coarse grained order parameter $h(\mathbf{x},t)$ and to build a free energy ${\cal F}$ if the system is at equilibrium,
or a partial differential equation (PDE)
obeyed by $h$ if the system is out of equilibrium.
... |
2,869,038,156,772 | arxiv | \section{Introduction}
\label{sec:intro}
In an attempt to better understand a system as complex as the human brain, multimodal measurements can be beneficial since they are able to provide information on complementary aspects of the same system. Through jointly analyzing the data resulting from different modalities, t... |
2,869,038,156,773 | arxiv | \section{Introduction}
Deep reinforcement learning with neural network policies and value functions has had enormous success in recent years across a wide range of domains~\cite{DDPG,TRPO, TRPOGAE, DQN}. In particular, model-free reinforcement learning with policy gradient methods have been used to solve complex robot... |
2,869,038,156,774 | arxiv | \section{Introduction}
Determining the ground state and properties of $N$ interacting particles in some fixed geometry is
at the core of many disciplines in physics and other natural sciences. However,
in general even for moderate values of $N$, methods based on first principles are either
intractable or extre... |
2,869,038,156,775 | arxiv | \section{Introduction}
In the magnetospheric accretion scenario, the accretion of material from a circumstellar disk in low-mass pre-main sequence (PMS) stars is funneled by the stellar magnetic field, which disrupts the disk at a few stellar radii (\citealt{hart}, and reference therein).
Our understanding of this pro... |
2,869,038,156,776 | arxiv | \section{Introduction}
Let $\mu$ be a probability measure on $\mathbb{R}$ and $(B_t)_{t \geq 0}$ a $\mathcal{F}$-Brownian Motion with initial distribution $\mathrm{Law}(B_0) = \mu$ defined on a filtered probability space $(\Omega, \mathcal{A},\mathbb{P}, (\mathcal{F}_t)_{t \geq 0})$. We assume that the filtration ... |
2,869,038,156,777 | arxiv | \section{Introduction}
Supermassive black holes have long been known to exist at the centers of large
galaxies (e.g.\ Lynden-Bell 1969; Wolfe \& Burbidge 1970; Sargent et al.\
1978). Intriguingly, scaling relations between their masses and several
global properties of the host spheroid (e.g.\ Kormendy \& Richstone 19... |
2,869,038,156,778 | arxiv |
\section{Introduction}
It is now clear that Type Ia supernovae are not a homogenous class of
objects. One can see differences in spectral features at specific
epochs (\cite{Ber64}, \cite{Bra87}, \cite{Phi_etal87},
\cite{HarWhe90}, \cite{Nug_etal95}, \cite{Fil97}) and in the overall
morphology of the light curv... |
2,869,038,156,779 | arxiv | \section*{Nomenclature}
\addcontentsline{toc}{section}{Nomenclature}
\subsection{Sets and numbers}
\begin{IEEEdescription}[\IEEEusemathlabelsep\IEEEsetlabelwidth{${\mathcal N}_p$, ${\mathcal N}_q$}]
\item[${\mathcal N}$, $N$] Set and number of buses.
\item[${\mathcal L}$, $L$] Set and number of power lines.
\item[$... |
2,869,038,156,780 | arxiv | \section{Introduction}
Let $G=(N,E)$ be a simple undirected graph with the set $N$ of $n$ nodes
and the set $E$ of $m$ edges. The length of a shortest path between two
nodes $i$ and $j$ in $G$ is denoted by $dist_G(i,j)$, whereas
$d_G:=\max_{i,j\in N}dist_G(i,j)$ is the {\em diameter} of $G$. For a
nonempty subset of n... |
2,869,038,156,781 | arxiv | \section{Introduction}\label{sec:introduction}
Diversity combining techniques are commonly used in modern wireless multi-antenna consumer devices such as smartphones, laptops and WiFi routers, to improve link reliability and energy efficiency. One of the most popular choices is maximal-ratio combining (MRC), which is ... |
2,869,038,156,782 | arxiv | \section{Introduction}
Arguably one of the most enigmatic phenomena in the history of quantum optics is the discovery of superradiance by Dicke \cite{Dicke:1954,Rehler:1971,Bonifacio:1971,Friedberg:1973,Agarwal:1974,Gross:1982,Skribanowitz:1973,Vrehen:1977,Kaiser:2016,Thiel:2007,Maser:2009,Blatt:2008,Monz:2011,Wiegner... |
2,869,038,156,783 | arxiv | \section*{Introduction}
\label{sec:intro}
In the Minimal Supersymmetric Standard
Model (MSSM)~\cite{mssm_1} two Higgs
doublets are required, giving rise to
five Higgs bosons: a charged scalar pair, \Hpm; two neutral scalars, \h
and \bigH; and a neutral pseudoscalar, \A.
Within this framework, the \h and \A are predict... |
2,869,038,156,784 | arxiv | \section{introduction}
The discovery of the high-temperature superconductivity in iron-based compounds with transition temperature $T_C$ up to 55 K have attracted tremendous research interest for the last decade~\cite{JACS2008Kamihara,PRL2008Rotter,CPL2008Ren,RMP2011Stewart}. Similar to the phase diagram in cuprate~\c... |
2,869,038,156,785 | arxiv | \section{Supplementary information}
\subsection{Topological classification and bulk topological invariants}
\label{sec:classification}
The Bloch Hamiltonian of our photonic crystal in the tight-binding limit with coupling between nearest-neighbor waveguides is
\begin{align}
h({\bf k}) &= c_{ext} h_{ext}({\bf k}) + c_... |
2,869,038,156,786 | arxiv | \section{Introduction}
For sparse compressed signals, Donoho $et~al.$ \cite{2005Stable} proposed a compressive sensing theory that enables efficient data sampling at a much lower rate than the requirements, which can be modeled as follows in its standard formulation.
$\bf{Notations}$: In this paper, the matrices are r... |
2,869,038,156,787 | arxiv | \subsection{Existence and uniqueness}
In \cite[Section 3]{chen2019center}, the authors establish the existence of a local curve of homoclinic solutions to $\eqref{cub}$ bifurcating from $(u,\lambda)=(0,0)$ under the assumptions
\begin{empheq}[]{align}
\label{specialcase}
\begin{split}
b(u,\lambda)=&(\lambda-1)u +... |
2,869,038,156,788 | arxiv | \section{Introduction}
\label{sec:typesetting-summary}
\emph{Integer Programming} is widely used as a modelling tool for a variety of combinatorial optimization problems. A standard form of an integer program (IP) is defined as follows:
\begin{eqnarray}\label{ILP}
\max\{\vew\cdot \vex: H \vex=\veb, \vel\le \vex\le \v... |
2,869,038,156,789 | arxiv | \section{Introduction}
\BgThispage
During the last years, the research community has been very active looking for new ways to detect and block web tracking (e.g., \cite{acar_web_2014, englehardt_cookies_2015, li_trackadvisor_2015, metwalley_unsupervised_2015, nikiforakis_cookieless_2013, lerner_internet_2016, iqbal_fin... |
2,869,038,156,790 | arxiv | \section{Introduction}
With recent developments in data science and computational tools, machine learning algorithms have been increasingly applied in different engineering and science areas to model physical phenomena. The data from physical experiments and numerical simulations are a source of knowledge about the phy... |
2,869,038,156,791 | arxiv | \section*{References}
\begin{enumerate} \frenchspacing
\item[1.] V.\ Drinfeld, Sov.Math.Dokl.\ {\bf 32} (1985) 254;
{\it Proc.Int.Cong.\ Mathematicians}, Berkeley 1986, (1987) 798.
M. Jimbo, Lett.Math.Phys.\ {\bf 10} (1985) 63.
\item[2.] W. Pusz and S. Woronowicz, Rep.Math.Phys.
{\bf 27} (1989) 231. T. Curtright a... |
2,869,038,156,792 | arxiv | \section{Introduction and results}
This note continues the theme of function theory on symplectic manifolds (albeit only in dimension two) and its relations to the theory of quasi-states, as initiated and developed, for example, in \cite{Buhovski_conv_rate_poiss_br}, \cite{Cardin_Viterbo_comm_hamiltonians}, \cite{EP... |
2,869,038,156,793 | arxiv | \section{0pt}{4pt plus 2pt minus 2pt}{1pt plus 0.5pt minus 0.5pt}
\titlespacing\subsection{0pt}{3pt plus 2pt minus 2pt}{1pt plus 0.5pt minus 0.5pt}
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\setlength{\abovecaptionskip}{1pt}
\setlength{\belowcaptionskip}{1pt}
\setlength{\dbltextfl... |
2,869,038,156,794 | arxiv | \section{Introduction}
\noindent
Statistical modelling allows for the learning of the relationship between two
variables, where the said relationship is responsible for generating the data
available on the variables. Thus, let $\boldsymbol{X}$ be a random variable that represents a behavioural or structural
parameter o... |
2,869,038,156,795 | arxiv | \section{Modeling Directed Graphs with Undirected Graphs}\label{sec:construction}
To prove Theorem~\ref{thm:directed} we must show how to construct, for a given protected directed graph $G$, a corresponding undirected protected graph $H$ with the same cop number, roughly the same capture time, and not ``too many mor... |
2,869,038,156,796 | arxiv | \section{#1}}
\newcommand{\subsect}[1]{\subsection{#1}}
\newcommand{\subsubsect}[1]{\subsubsection{#1}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\renewcommand{\thefootnote}{\fnsymbol{footnote}}
\def\footnote{\footnote}
\footskip 1.0cm
\def\sxn#1{\bigskip\bigskip \sect{#1} \medskip}
\def\subsxn#1{\big... |
2,869,038,156,797 | arxiv | \section{Introduction}
In quantum mechanics, the rarity of the potentials which are exactly
solvable in closed-form (most of them belonging to the class of
shape-invariant potentials \cite{cooper,Dutt,Gendenshtein}) gives a
undeniable importance to the reseach of new families of such potentials. A
possible way t... |
2,869,038,156,798 | arxiv | \section{Introduction}
\label{sec:intro}
Anomaly detection has received widespread attention in diverse domains, such as industrial defect inspection \cite{MVTec, PaDiM, PatchSVDD, SPADE} and medical lesion detection \cite{KDAD, DRA}. Most of previous anomaly detection methods \cite{GANomaly, ALAD, AnoGAN, fast-AnoG... |
2,869,038,156,799 | arxiv |
\section{Introduction}
Studying the differential production cross sections of top quark pairs (\ttbar) at high energies is a crucial ingredient in testing the standard model and searching for sources of new physics, which could alter the production rate. In particular, the differential \ttbar cross sections probe pred... |
2,869,038,156,800 | arxiv | \section{Introduction}
A wide variety of tasks in the physical sciences requires a deconvolution of raw data before relevant information can be accessed. Examples include the reconstruction of images of starlight having passed through a turbulent atmosphere or the extraction of spectral information from numerical simu... |
2,869,038,156,801 | arxiv | \section{Introduction}
If $H$ is a subgroup of a group $G$, $\pi_1$ an irreducible representation
of $G$, one is often interested in decomposing the representation $\pi_1$ when restricted to $H$,
called the branching laws. In this paper, we will be dealing mostly with infinite dimensional representations o... |
2,869,038,156,802 | arxiv | \section{Introduction}\label{sec_intro}
Strongly interacting systems attract considerable attention because of
fruitful phenomena in a new field of {\it cross-correlation} physics~\cite{Tokutra}
and their potential applicability
to developing field of spintronics.
Theoretical study of strongly correlated systems,
e... |
2,869,038,156,803 | arxiv | \section{Strahler-Optimal Attractor Decompositions}
In this section we prove that every parity game whose Lehtinen number
is~$k$ has an attractor decomposition of Strahler number at most~$k$.
In other words, we establish the Lehtinen number upper bound on the
Strahler number, which together with
Lemma~\ref{lem:Strahl... |
2,869,038,156,804 | arxiv | \section{Introduction}
\input{tex_final/01_intro.tex}
\section{Related Work}
\input{tex_final/02_related.tex}
\section{Domain Randomization-Enhanced Depth Simulation}
\input{tex_final/03_dreds}
\section{STD Dataset}
\input{tex_final/04_dts}
\section{Method}
\input{tex_final/05_method.tex}
\section{Tasks, Benchmar... |
2,869,038,156,805 | arxiv | \section{Introduction}
Chirp-pulse amplification (CPA) technique has allowed construction of compact very high-intensity femtosecond laser pulses enabling experimental observation of physics of relativistic Laser-Plasma interactions. The knowledge of these processes of laser-plasma interactions is being applied to the ... |
2,869,038,156,806 | arxiv | \section{Introduction}
In the \emph{Equivalence Class Sorting} problem, we are given
a set, $S$, of $n$ elements and an equivalence relation, and we are asked
to group the elements of the set into their equivalence classes by only
making pairwise equivalence tests
(e.g., see~\cite{Jayapaul2015}).
For example,
imagin... |
2,869,038,156,807 | arxiv | \section{Introduction}
\label{sec:introduction}
The Discrete-Time Quantum Walk (DTQW, or quantum walk for
short)\cite{kempe_2003}, a quantum mechanical generalization of the
random walk, has in the recent years received more and more attention
from both the theoretical and experimental side. The main drive to
underst... |
2,869,038,156,808 | arxiv | \section{Introduction}
With its mass being close to the electroweak scale the top quark is very special. It might intimately
be connected to the underlying mechanism of electroweak symmetry breaking (EWSB). Consequently, studying
top-quark production and decays at colliders might provide a portal to New Physics (NP). ... |
2,869,038,156,809 | arxiv | \section{Introduction}
There are both theoretical (e.g. \citealt{Hopkins2008}) and observational (e.g. \citealt{Sanders1988,Yan2010}) arguments that
support the notion that luminous star-forming galaxies (hereafter: `Starbursts')
and luminous, unobscured Active Galactic Nuclei (AGN; hereafter luminous AGN or `QSO')... |
2,869,038,156,810 | arxiv | \section{Introduction}
We consider the weighted elliptic system
\begin{equation}\label{eq:1.1}
\begin{cases}
-\Delta u=(1+|x|^2)^{\frac{\alpha}{2}} v,\\
-\Delta v=(1+|x|^2)^{\frac{\alpha}{2}} u^p,
\end{cases} \quad \mbox{in}\;\ \mathbb{R}^N,
\end{equation}where $N \ge 5$, $p>1$ and $\alpha>0$. We are intereste... |
2,869,038,156,811 | arxiv | \section*{Introduction}
Spiking neural networks (SNNs) are among the leading candidates to solve one of the major impediments
of more widespread uses of modern AI: The energy consumption of the very large artificial neural
networks (ANNs) that are needed. These ANNs need to be large, since they need to have a sufficie... |
2,869,038,156,812 | arxiv | \section{Introduction}
In this paper we develop an
expansion in fermionic spherical harmonics
in flat spacetime that serves as a nontrivial test for the technical correctness
of a subtle fermionic calculation of black hole thermodynamics.
The original context is provided by the black-hole entropy calculati... |
2,869,038,156,813 | arxiv | \section{Introduction}
\label{sec:intro}
The search for $R$-parity conserving supersymmetric particles at colliding beam
experiments is plagued by the necessity to {\it pair produce} sparticles,
and by the fact that the sparticle cascade decay terminates in the
lightest SUSY particle (LSP), usually assumed to comprise... |
2,869,038,156,814 | arxiv | \section{Introduction}
The HERA photoproduction data are the main experimental component in Forshaw's
``Theorist's Highlights"~\cite{Forshaw}, so this talk gives more stress to
photon-photon collisions, with some mention of related HERA results. There are
five sections; $F_{2}^{\gamma}$ hadronic; Other Photon Struct... |
2,869,038,156,815 | arxiv | \section{Introduction}
Multicellular organisms are made of cells that can divide into many, which specialize in controlling and maintaining the body, sensing the environment, or protecting from external threats. Such features were acquired by evolution from the first living cell. After millions of years, colonies of u... |
2,869,038,156,816 | arxiv | \section*{Acknowledgments}
\vspace{-0.1in}
We are grateful to Pedro Schwaller, Daniel Stolarski, and Andreas Weiler for providing us with the code to run the dark-sector coupling as implemented for \cite{Schwaller:2015gea}. We also thank Andrew Larkoski, Matthew Low, Duff Neill, Jesse Thaler, Scott Thomas, Tien-Tien Y... |
2,869,038,156,817 | arxiv | \section{Introduction}
Matrix factorization is an important machine learning technique
for imputing missing values and analyzing hidden structures
in matrices.
With matrix factorization, a matrix is modeled by the product of two low-rank matrices, assuming that the rank of the given matrix is low.
Matrix factorization... |
2,869,038,156,818 | arxiv | \section{#1}\setcounter{equation}{0}}
\renewcommand{\theequation}{\arabic{section}.\arabic{equation}}
\renewcommand{\thefigure}{\arabic{section}.\arabic{figure}}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{definition}{Definition}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Le... |
2,869,038,156,819 | arxiv | \section{Introduction}
The dynamic solar magnetic field is responsible for producing energetic events like solar flares and coronal mass ejections.
These events drive space weather which sometimes has hazardous impacts on
our space-based society.
In a strong cycle, we observe more such events and thus large impacts on... |
2,869,038,156,820 | arxiv |
\section{Introduction}
The original promise of computing was to solve information overload in science. In his 1945 essay "As We May Think", Vannevar Bush observed how "publication has been extended far beyond our present ability to make real use of the record"~\citep{bush1945}. He proposed computers as a solution to... |
2,869,038,156,821 | arxiv | \section{Introduction}
Recently, a new variable, called \emph{the contact}, was defined by Tan
\cite{Tan08,Bra12} for a two component Fermi gas interacting via
short-range forces.
The contact measures the probability to find
two unlike fermions close to each other.
In a series of theorems, called Tan's relations,
m... |
2,869,038,156,822 | arxiv | \section{Introduction}\label{Sec1}
Controlling quantum phenomena lies at the heart of quantum technology and quantum
control theory is drawing wide interests from scientists and engineers
\cite{Dong and Petersen 2010IET}-\cite{Brif et al 2010}. In recent years, robust control of quantum systems has been recognized a... |
2,869,038,156,823 | arxiv |
\section*{Appendix A: Head of First Appendix}
\section{Conclusion}
\label{sec:conclusion}
In this work, we presented a novel methodology for recovering active subspaces (AS) and constructing surrogate models in applications with high-dimensional uncertain parameter spaces.
Our approach rests on a reparameterizatio... |
2,869,038,156,824 | arxiv | \section{Introduction}
The redshifted 21cm emission from Neutral Hydrogen (\textrm{H\textsc{i}}) gas provides an alternative view into the structure, dynamics, and evolution of galaxies. H\textsc{i}\ gas is the fundamental fuel for molecular gas and star formation and plays an essential role in galaxy formation and e... |
2,869,038,156,825 | arxiv | \section{Introduction}
Top quark production at a future $e^+e^-$ linear collider
provides an excellent possibility to study
polarization phenomena of quarks without hadronization ambiguities
in a `clean' environment.
Due to its short lifetime, the top quark decays as a quasi-free quark,
before hadronization effects ca... |
2,869,038,156,826 | arxiv | \section{Introduction}
Slug tests are a common tool in hydrogeology for hydraulic characterization of aquifers because they are quick, obviate the need for waste water disposal, require less equipment, and are not as labor intensive as pumping tests. Fundamentally, they involve instantaneous (step) perturbation of flui... |
2,869,038,156,827 | arxiv | \section{Introduction}
\label{sec:1}
The Standard Model (SM) of particle physics is a very successful theory describing a
wealth of experimental data up to collision energies of 13 TeV reached at CERN's Large
Hadron Collider (LHC). This includes the recent observation of a Higgs-like particle with
a mass of 125 GeV... |
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