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1,477,468,751,281 | arxiv | \section{Introduction}
\label{s:intro}
\begin{figure}[!htb]
\centering
\includegraphics[width=0.4\textwidth]{sensors-at-jari.pdf}
\caption{Multiple 3D LiDARs}
\label{F:sensors}
\vspace{-2em}
\end{figure}
LiDAR (\emph{Light Detection And Ranging}, sometimes \emph{Light Imaging Detection And Ranging} for the image-l... |
1,477,468,751,282 | arxiv | \section*{Introduction}
After more than fifty years since its birth,
Anderson localization still remains in the focus of studies \cite{Evers2008,fifty}.
During the last decade it became almost ubiquitous in experimental physics, being
observed with electromagnetic \cite{Optics}, acoustic \cite{Hu08}, and matter wav... |
1,477,468,751,283 | arxiv | \section{Notation
\section{Introduction
\label{sec: introduction}
Let $F$ be a local field of characteristic zero and $W_{F}$ be the Weil group, then the local Langlands group is defined as follows
\[
L_{F} =
\begin{cases}
W_{F} & \text{if $F$ is archimedean}, \\
W_{F} \times SL(2, \mathbb{C}) & \text{if $F$ i... |
1,477,468,751,284 | arxiv | \section[Introduction]{Introduction}
Undoubtedly, stability analysis is one of the most important topics in dynamical systems theory. Traditionally, the stability of {\it a particular solution} of dynamical systems is analyzed, most often the origin, for example if we study the global error dynamics in the state traje... |
1,477,468,751,285 | arxiv | \section{Introduction}\label{sec:introduction}
A planar photonic crystal waveguide (PCW) is a rich system finding applications in diverse areas of optical physics. Among those are slow light \cite{Baba2008}, topological photonics \cite{Wen2022}, chiral photonics \cite{Lodahl2017}, cavity quantum electrodynamics \cite{... |
1,477,468,751,286 | arxiv | \section{Introduction}
The Schwinger effect~\citep{sauter,schwinger} means the instability of a spatially homogeneous,
purely electric field with respect to the decay into a state with pairs, e.g.
electrons ($e^-$) and positrons ($e^+$), and a screened electric field,
symbolically $\vert \vec E \rangle \to \vert \vec ... |
1,477,468,751,287 | arxiv | \section{Introduction}
Let $A$ be a bounded linear operator acting on a Hilbert space $\mathcal H$. In case $\dim\mathcal H=n<\infty$ we will identify $\mathcal H$ with $\mathbb C^n$ and $A$ with its $n$-by-$n$ matrix representation in the standard basis $\{e_1,\ldots,e_n\}$ of $\mathbb C^n$. We will write $A\in B(... |
1,477,468,751,288 | arxiv | \section{INTRODUCTION}
\label{sec:Introduction}
Measurements of time-dependent \ensuremath{C\!P}\xspace\ asymmetries in \ensuremath{B^0}\xspace\ meson decays through
a Cabibbo-Kobaya\-shi-Maskawa (CKM) favored $b \ensuremath{\rightarrow}\xspace c \bar{c} s$ amplitude
\cite{s2b,belles2b} have firmly established that \e... |
1,477,468,751,289 | arxiv | \section{Introduction}
\label{sec:introduction}
The Traveling Thief Problem (TTP)~\cite{bonyadi2013travelling} is a well-studied multi-component problem that combines Traveling Salesman Problem (TSP) and Knapsack Problem (KP). The TTP has been designed in order to provide an academic abstraction of multi-component pro... |
1,477,468,751,290 | arxiv | \section{Introduction}
The lipid-bilayer of the plasma membrane, which provides basic structure to the eukaryotic cells, is sometimes termed as ``Nature's preferred liquid crystal'' \cite{mouritsenchapter} as it forms lyotropic smectic liquid crystal phase. Extensive experimental studies of the interactions between the... |
1,477,468,751,291 | arxiv | \section{Introduction}
\label{sec:introduction}
Tracking extended objects from image sequences in the presence of noise is required in many different fields. Within astronomy it is used in \ac{AO}, both for granular images of the sun during the day \citep{Scharmer2003,Rimmelea1998,Michau1993}, and elongated laser guide... |
1,477,468,751,292 | arxiv | \section{Introduction}\label{S:Intro}
The notion of Lagrangian multiforms was introduced in \cite{LobbNij2009} to provide a variational formalism
for systems integrable in the sense of multidimensional consistency (MDC). This novel variational approach
to integrable systems allows for the derivation of an en tire sy... |
1,477,468,751,293 | arxiv | \section{Introduction}
A compact Riemannian symmetric space $M$ is of the form $M=G/H$, where $G$ is a connected compact Lie group with
an involutive automorphism $\theta$, and $(G^{\theta})^{0}\subset H\subset G^{\theta}$. Here $G$ is endowed with
a Riemannian metric inducing from an adjoint invariant positive-defini... |
1,477,468,751,294 | arxiv | \section{Introduction}
Inspired by the applications of game theory to the study of classical information problems, quantum information theorists began to include quantum probability amplitudes and quantum entanglement into classical game theory \cite{1,2,3,4,5,6,7}, creating what is now known as quantum game theory. T... |
1,477,468,751,295 | arxiv | \section{Introduction}
The chemostat model provides the foundation for much of current
research in bio-engineering, ecology, and population biology
\cite{DLLS03,DLS03, EPR01, GR05, SW95}. In the engineering
literature, the chemostat is known as the continuously stirred tank
reactor. It has been used for modeling the d... |
1,477,468,751,296 | arxiv | \section{Introduction}
Correlated systems with competing on-site and intersite
Coulomb interactions~\cite{imada1998} and fillings away from
one electron per site ($n=1$, half filling)
are presently a subject of intensive investigation due to the
appearance of complex phases such as unconventional charge and
magne... |
1,477,468,751,297 | arxiv | \section*{Results}
\noindent {\bf Zero-determinant strategies in large-scale social dilemmas.} ZD strategies are particular memory-one strategies \cite{nowak:nature:1993,hauert:prsb:1997,sigmund:book:2010,press:pnas:2012}; they only condition their behavior on the outcome of the previous round. Memory-one strategies ... |
1,477,468,751,298 | arxiv | \section{Introduction}
Braneworld models with variable brane tension pave attempts to probe signatures arising from high energy physics. Indeed, the drastic modification of the temperature of the Universe along its cosmological evolution instigates a braneworld scenario with variable tension, generalizing the origi... |
1,477,468,751,299 | arxiv | \section*{Acknowledgements}
\noindent We express our gratitude to our colleagues in the CERN
accelerator departments for the excellent performance of the LHC. We
thank the technical and administrative staff at the LHCb
institutes. We acknowledge support from CERN and from the national
agencies: CAPES, CNPq, FAPERJ and... |
1,477,468,751,300 | arxiv | \section*{Introduction}
Let $k$ be an algebraically closed field of characteristic zero. Let $C$ be a smooth projective curve of genus $g$ over $k$. Riemann's original problem was to determine the order of vanishing of the theta function at a point in the Jacobian of $C$. His Singularity Theorem says that for every l... |
1,477,468,751,301 | arxiv | \section{Diffractive $ep$ Scattering}
It is well known that in high-energy deep-inelastic $ep$-collisions a large
fraction of the observed events are diffractive. These events are defined
experimentally by the presence of a forward-going system $Y$ with
four-momentum $p_Y$, low mass $M_Y$ (in most cases a single proto... |
1,477,468,751,302 | arxiv | \section{Introduction}
Recent observations of galaxy clustering in both photometric and
spectroscopic surveys have found more
relative power on large scales, $R_p \sim 20 {\,h^{-1}\,{\rm Mpc}}$ ($h=H_0/100$ km/sec/Mpc),
than that expected in the standard cold dark matter (CDM) model of structure
formation (e.g., Maddo... |
1,477,468,751,303 | arxiv | \section{\@startsection{section}{1}%
\z@{1.5\linespacing\@plus .2\linespacing}{.7\linespacing}%
{\normalfont\sc\centering}}
\makeatother
\makeatletter
\def\ps@headings{\ps@empty
\def\@evenhead{%
\setTrue{runhead}%
\normalfont\footnotesize
\rlap{\thepage}\hfil
\def\thanks{\protect\thanks@warning}%
\leftmar... |
1,477,468,751,304 | arxiv | \section{Motivations for the Phase 1 upgrade of the pixel detector}
\label{motivations}
The silicon pixel detector \cite{pixeldet} is the innermost part of CMS. It has the key role to provide the precise spatial measurements used as seeds for the reconstruction of charged particle trajectories in proximity of the prima... |
1,477,468,751,305 | arxiv | \section{Introduction}\label{ssec:intro}
Superconducting quantum systems are among the leading candidates for quantum information processing. However, microwave photons, which interact efficiently with superconducting qubits, are not well suited for transmitting quantum information over long distances. This is especial... |
1,477,468,751,306 | arxiv | \section{Introduction and statements of results}
For a non-empty set $A \subseteq \mathbb{N}$, the {\it ratio set} of $A$ is defined by $R(A) := \{\frac{a}{b} \in \mathbb{Q} : a,b \in A\}$. One of the most fundamental results in real analysis, viz. $\mathbb{Q}$ is dense in $\mathbb{R}$, when rephrased in terms of rati... |
1,477,468,751,307 | arxiv | \section{Introduction}
A presentation of thermal instability is given by classical articles \citep{Parker1953, Zanstra1955, Field1965}, in which different types of instability are derived within linear theory. Usually, in the study of the structure of the interstellar medium, the isobaric mode of thermal instability... |
1,477,468,751,308 | arxiv | \section{Introduction}
In quantum mechanics the time evolution of two noninteracting subsystems can be described by an operator $e^{itH} \otimes e^{itH'}$, where $H$ and $H'$ are Hamiltonians of the subsystems (see e.g. chapters 2.2 and 3.1 in \cite{BP}). In applications, the unitary operator $e^{itH}$, which is \emph... |
1,477,468,751,309 | arxiv | \section{Introduction}
$\indent$It is well known that an electron outside the liquid is attracted to helium surface by a weak image force,
while it is prevented to enter the liquid by a strong repulsion due to the Pauli exclusion principle. As a result, the SSE
are trapped into potential well and their motion in the... |
1,477,468,751,310 | arxiv | \section{Introduction}
Given a compact K\"ahler manifold $X$, foundational works of Simpson and Corlette, \cite{Si1},
\cite{Co} establish a natural equivalence between the category of local systems over $X$ and
the category of certain
analytical objects called {\it Higgs bundles} that consist of a holomorphic vector... |
1,477,468,751,311 | arxiv | \section{Introduction}
\label{Intro}
The European Space Agency {\it Gaia } \ mission was successfully
launched on December 19, 2013 from the French Guiana Space centre in
Kourou. Gaia is an ambitious astrometric, photometric and
spectroscopic survey of a large part of the Milky Way: about 1\% of
the Galactic stellar ... |
1,477,468,751,312 | arxiv | \section{Introduction}
It is now becoming increasingly clear that the dominant contribution to
low energy CP violation arises from the complex CKM matrix which
parameterizes the weak quark current coupling to the W-boson. Indeed
the recent measurement \cite{gamma} of the angle
$\gamma=-Arg(V_{ud}V_{cb}V^*_{cd}V^*_{u... |
1,477,468,751,313 | arxiv | \section{Introduction}
Perelman \cite{P1} proved the no shrinking, steady, and expanding breather theorems on compact manifolds, by applying the monotonicity formulas of his $\mathcal{W}$-functional, $\mathcal{F}$-functional, and normalized $\mathcal{F}$-functional, respectively: these types of breathers must also be ... |
1,477,468,751,314 | arxiv | \section{Introduction}
\label{sec:introduction}
The branching problem for affine Lie algebras emerges in conformal field theory, for example,
in the construction of modular-invariant partition functions \cite{difrancesco1997cft}.
Recently the problem of conformal embeddings was considered in the paper \cite{coque... |
1,477,468,751,315 | arxiv | \section{Introduction}
\label{sec:intro}
Polar codes are a breakthrough in the field of channel coding as they can achieve the capacity of any binary symmetric channel with efficient encoding and decoding algorithms \cite{arikan}. Successive cancellation (SC) and belief propagation (BP) decoding algorithms were introd... |
1,477,468,751,316 | arxiv | \section*{1. Introduction}
Pure Chern-Simons field theory in 3 dimensions is a fascinating
topic from many points of view. It can be used to give a
path-integral representation of knot and link invariants
\cite{wi} and in order to understand many properties of
2-dimensional conformal field theories \cite{wi,conf}. Bei... |
1,477,468,751,317 | arxiv | \section{Introduction}
The motivating problem for this article is the characterization of maximal non-Hamiltonian (MNH)
graphs.
Skupien and co-authors give the first broad family of MNH graphs in~\cite{SkupienMNH}
and describe all MNH graphs with 10 or fewer vertices in ~\cite{SkupienCat}. The latter paper also inc... |
1,477,468,751,318 | arxiv | \section{Introduction}
A crucial and long-standing problem in the theory and practice of
portfolio optimization is the choice of an effective and transparent
performance criterion that balances risk and return. In this paper,
we propose a novel portfolio optimization criterion that aims to combine
to some extent... |
1,477,468,751,319 | arxiv |
\section{Introduction}
Due to their fortitious geometry transiting exoplanets allow the
determination of physical properties that are inaccesible or hard to
reach for non-transiting system. One of the most exciting
possibilities enabled by the transting geometry is to measure
atmospheric properties of exoplanets with... |
1,477,468,751,320 | arxiv | \section{Introduction}
\label{sec:Introduction}
The possibility of
understanding gauge symmetry enhancement from a Double Field Theory (DFT)
perspective was addressed in various recent articles
\cite{agimnr,Cagnacci:2017ulc,aamr}. The discussion was done in the context of
the bosonic string since, even if ill def... |
1,477,468,751,321 | arxiv | \section{Introduction and Draft APS statement}
Informal science education activities have long played an important role in helping create and recruit the next generation of scientists, in communicating both exciting results and fundamental concepts to the world, in building public trust in science and scientists, in r... |
1,477,468,751,322 | arxiv | \section{Introduction}
Graph similarity measurement, which is to compute distance/similarity between two graphs, is a fundamental problem in graph-related tasks. It arises in a variety of real-world applications, such as graph search in graph-based database \cite{yan2002gspan}, malware detection \cite{wang2019heteroge... |
1,477,468,751,323 | arxiv | \section{Introduction}
Bayesian statistics provides a natural way to manage model complexity and control
overfitting, with modern problems involving complicated models with a large number
of parameters.
One of the most powerful advantages of the Bayesian approach
is hierarchical modeling,
which allows partial pooli... |
1,477,468,751,324 | arxiv |
\section{\uppercase{Introduction}}
\noindent The World Wide Web today contains an exterminated amount of information, mostly unstructured, under the form of Web pages, but also documents of various nature.
During last years big efforts have been conducted to develop techniques of information extraction on top of the... |
1,477,468,751,325 | arxiv | \section{Introduction}
Person Re-identification (Person Re-ID) has become a very popular and challenging topic during recent years. Given a pedestrian image of interest called ``probe image", the Re-ID task aims to search in a large gallery image database for images of the same identity as the probe, which can also be... |
1,477,468,751,326 | arxiv | \section{Introduction}
Natural language processing (NLP) approaches generally belong to either one of two main strands, which also often appear to be mutually exclusive. On the one hand we essentially have symbolic methods and models which are open, in the sense that their internal mechanisms as well as their conclusio... |
1,477,468,751,327 | arxiv | \section{Outline}
\label{sec:outline}
We study the problem of recovering an \emph{unknown function} $f$ from a
noisy and indirect \emph{observation} $Y^{n}$. In particular, we consider a
class of inverse problems in Hilbert space, given as
\begin{equation}
\label{eq:Ys}
Y^{n} = A f + \frac 1 {\sqrt n} \xi.
\end{equ... |
1,477,468,751,328 | arxiv | \section{Introduction}
Stochastic games were introduced in the 1950's by Shapley \cite{shapley53}. They are played by two opponents over a finite set of states: the
state variable follows a Markov chain controlled by both players, to each state corresponds a matrix game
that determines a stage payoff, and
the first... |
1,477,468,751,329 | arxiv | \section{Introduction}
The b-quark mass is a fundamental parameter of QCD,
and its accurate knowledge is needed for theoretical predictions
of B meson decay rates. The understanding of the latter is a very active field
of high energy physics research.
At the same time the B meson decay constant plays a crucial role in... |
1,477,468,751,330 | arxiv | \section{Introduction}
Close massive black hole (MBH) binaries are expected to form in large numbers following
the hierarchical assembly of massive galaxies \citep[e.g.][]{begelman80,volonteri03},
but their merger history remains poorly understood. Few observational probes of the processes
that lead to and accompany... |
1,477,468,751,331 | arxiv | \section{Introduction}
This paper reports the findings of a seven-month dissertation project carried out at Sheffield University, investigating steganographic techniques for hiding data in video files encoded using the popular H.264 format \citep{Ridgway13}. During the course of the project several key tools were deve... |
1,477,468,751,332 | arxiv | \section*{Abstract}{\small
The Panchromatic Hubble Andromeda Treasury (PHAT) is an on-going Hubble Space Telescope (HST) multi-cycle program that will image one-third of the M31 disk at high resolution, with wavelength coverage from the ultraviolet through the near-infrared. This dataset will allow for the constructio... |
1,477,468,751,333 | arxiv | \section{Introduction}
One of the central lessons of the past few years is that the semiclassical gravitational path integral knows about the encoding of the interior of the black hole in its Hawking radiation. Black hole horizons are ubiquitous in our universe, as they are believed to exist at the center of almost eve... |
1,477,468,751,334 | arxiv | \section{Introduction}
\label{sec: introduction}
Convolutional Neural Networks (CNNs) have made extraordinary progress in various computer vision tasks, with image classification as a most representative one.
The trained models generally perform well on the testing data which shares similar data distribution to that o... |
1,477,468,751,335 | arxiv | \section*{Introduction}
The current knowledge of the nature of dark matter is scarce. However, the
cumulative evidence seems to favor the scenario of dark matter as a
non-interacting form of matter instead of some modified gravity theory. This
is true in particular when considering phenomena as cluster collisions... |
1,477,468,751,336 | arxiv | \section{Introduction}
Rigid and affine registration is crucial in a variety of medical imaging studies and has been a topic of active research for decades. In a comprehensive image registration framework, the target image pair is often pre-aligned based on a rigid or affine transformation before using deformable (non-... |
1,477,468,751,337 | arxiv | \section{Introduction}
The QCD phase transition manifests itself in two phenomena, deconfinement and chiral symmetry restoration. The conventional order parameter for (de)confinement is the Polyakov loop, the straight loop in the time direction.
After a suitable renormalization, it is related to the free energy of a s... |
1,477,468,751,338 | arxiv | \section{Introduction}
\emph{Robust principal component analysis} aims to find a low rank subspace that best approximates a data matrix $M$ which has corrupted entries. It is defined as the problem of decomposing a given matrix $M$ into the sum of a low rank matrix $L$, whose column subspace gives the principal compone... |
1,477,468,751,339 | arxiv | \section{Introduction}
After receiving paper reviews, authors may optionally submit a rebuttal to address the reviewers' comments, which will be limited to a {\bf one page} PDF file. Please follow the steps and style guidelines outlined below for submitting your author response.
Note that the author rebuttal is opti... |
1,477,468,751,340 | arxiv | \section{Introduction and results}
A \emph{triangulation} of a topological space $M$ is a simplicial complex $K$ together with a homeomorphism $M\approx |K|$
between $M$ and the geometric realization of $K$. If $M$ is a closed $d$-dimensional manifold then we are particularly
interested in \emph{combinatorial} tria... |
1,477,468,751,341 | arxiv | \section{Introduction and results}
In the problem of sampling with derivatives one tries to recover or
approximate a function by sampling a number of its derivatives. In
analogy to Hermite interpolation this procedure is sometimes called
Hermite sampling. For a well-defined problem one must fix a suitable
signal m... |
1,477,468,751,342 | arxiv | \section{Introduction}
Thermonuclear fusion holds a great promise as the power source for Human Civilization. Energy production is one of the primary driving forces for industrialization and economic progress of Humankind \cite{ShubovPM}. In this work we discuss possibilities, advances and technical challenges in the... |
1,477,468,751,343 | arxiv | \section*{Experimental details}
Expanded polystyrene spheres were deposited into a Hele-Shaw cell, as shown in Fig. \ref{fig:Setup} (the size distribution of the granular material and the dimensions of the cell were similar to those in \cite{Diaz-Melian2020}). A squared-face intruder of $6.8$~cm side, $5.2$ ~cm width ... |
1,477,468,751,344 | arxiv | \section*{Introduction}
The production of weak boson pairs is an important topic to study at
hadron colliders because these processes can be used to test the
standard model (SM) as well as probe beyond it \cite{FIRSTWZ}.
Diboson production is important for the following reasons.
\begin{itemize}
\item{} The $W^{\pm}\... |
1,477,468,751,345 | arxiv | \section{Introduction}
\label{sec:introduction}
The potential speedup of quantum algorithms is demonstrated
by Shor's factoring algorithm, which is exponentially
faster than any known classical algorithm
\cite{Shor1994}.
Several other quantum algorithms, which
are more efficient than their classical counterparts
wer... |
1,477,468,751,346 | arxiv |
\section{Introduction}
\label{sec:introduction}
\input{sections/introduction}
\section{Background}
\label{sec:background}
\input{sections/background}
\section{Multiscale PHATE}
\label{sec:algorithm}
\input{sections/algorithm}
\section{Results}
\label{sec:results}
\subsection{Example visualization}
\label{subsec:si... |
1,477,468,751,347 | arxiv | \section{Introduction}
There has been a rapidly growing interest in goal reasoning in recent years; planning mechanisms for {agents} that {are} capable of explicitly reasoning about their goals and changing them whenever it becomes necessary \cite{aha2018goal,munoz2018adaptive}. The potential applications of goa... |
1,477,468,751,348 | arxiv | \section{Introduction}
\setcounter{equation}{0}
Let $\mathfrak{g}$ denote a simply-laced affine Lie algebra with Cartan datum $(A, \{\alpha_i\}_{i \in I},$ \\ $ \{\alpha^\vee_i\}_{\i\in I})$, where $A= (a_{ij})_{i,j \in I}, I = \{0, 1, \cdots , n\}$ is a symmetric affine Cartan matrix and $U_q(\mathfrak{g})$ denote the... |
1,477,468,751,349 | arxiv | \section{Introduction}
A new class of compact dwarf galaxies, called UCDs, was discovered a decade
ago in the Fornax cluster \citep{Hilker+99,Drinkwater+00,PDGJ01}. These
objects, being brighter and much larger than globular clusters (GCs), but
still far below luminosities and sizes of both dwarf elliptical (dE) and... |
1,477,468,751,350 | arxiv | \section{Introduction}
Non-Abelian strings in a class of
four-dimensional ${\cal N}=2\;$\, gauge theories were discovered and explored recently
\cite{ht1,ABEKY,SYmon,ht2} (for reviews see \cite{Trev}).
In addition to translational (and supertranslational) moduli
characterizing the position of the string center ... |
1,477,468,751,351 | arxiv | \subsubsection*{\bibname}}
\usepackage{header}
\newcommand{\mathrm{stack}}{\mathrm{stack}}
\newcommand{\mathrm{bayes}}{\mathrm{bayes}}
\newcommand{\mathrm{boost}}{\mathrm{boost}}
\newcommand{\textsc{MHGP}\xspace}{\textsc{MHGP}\xspace}
\newcommand{Mean Hierarchical GP\xspace}{Mean Hierarchical GP\xspace}
\newcomman... |
1,477,468,751,352 | arxiv |
\section{\label{sec:intro}INTRODUCTION}
The world's only \ep collider, HERA at DESY, Hamburg, concluded operations in 2007 after 15 years of data taking. Until then, integrated luminosities of about \unit{0.5}{\invfb} had been collected by each of the two colliding-beam experiments H1 and ZEUS. An integral part of the... |
1,477,468,751,353 | arxiv | \section{\@startsection {section}{1}{\zeta@}%
{-3.5ex \@plus -1ex \@minus -.2ex
{2.3ex \@plus.2ex}%
{\normalfont\large\bfseries}}
\renewcommand\subsection{\@startsection{subsection}{2}{\zeta@}%
... |
1,477,468,751,354 | arxiv | \section{Introduction}
Since their introduction in the seventies supercompact cardinals played a central role in set theory. They have been a fundamental assumption to obtain many of the most interesting breakthroughs:
Solovay's original proof that the singular cardinal hypothesis \ensuremath{\text{{\sf SCH}}}\ holds ... |
1,477,468,751,355 | arxiv | \section{Introduction}
From a methodological viewpoint, testing a null hypothesis $H_0:~x\sim f_0(x|\omega_0)$ versus the alternative
$H_a:~x\sim f_1(x|\omega_1)$ in a Bayesian framework requires the introduction of two prior distributions,
$\pi_0(\omega_0)$ and $\pi_1(\omega_1)$, that are defined on the respective ... |
1,477,468,751,356 | arxiv | \section{Introduction}
The semiclassical or WKB approximation is usually discussed
in textbooks on nonrelativistic quantum mechanics in the context
of stationary states, i.e., determination of the energy eigenvalues and
eigenfunctions, \cite{qm}. This approximation can also be used to
obtain approximate and in some ... |
1,477,468,751,357 | arxiv | \section{Introduction}
\label{sec:intro}
\medskip
\subsection{}
\label{sub:physics}
Let $X$ be a (non-compact) toric Calabi-Yau threefold. To $X$ one can associate a 2d quantum field theory with four supercharges, and we will be interested in two features of this theory: its vector space of BPS states, and more imp... |
1,477,468,751,358 | arxiv | \section{Introduction}
In this paper we continue the study of the problem of finding an integral representation for limits of oscillating integral energies
$$u_{\ep}\mapsto \iO f\Big(x,\frac{x}{\ep^{\alpha}},u_{\ep}(x)\Big)\,dx,$$
where $\Omega\subset \R^N$ is a bounded open set, $\ep\to 0$, and the fields $u_{\ep}$ ar... |
1,477,468,751,359 | arxiv |
\section{Introduction}
\label{sec:intro}
Conditional transition systems (CTS) have been introduced in
\cite{ABHKMS12} as a model for systems whose behaviour is guarded by
different
conditions.
Before an execution, a condition is chosen by the environment from a
pre-defined set of conditions and, accordingly, the CTS ... |
1,477,468,751,360 | arxiv | \section{Introduction}
Comprehensive and precise measurements of hadronic $D$~~meson decays provide important inputs for the experimental studies of both charm and beauty decays~\cite{2009besphys}.
One category of decay modes $D\to\phi{P}$ ($P$ represents a pseudoscalar particle) has simple Feynman diagrams as depicte... |
1,477,468,751,361 | arxiv | \section{Exact Algorithm for cd-Chromatic Number}
Let $G$ denote the input graph on $n$ vertices. Given a coloring of $V(G)$, we can check in polynomial time whether it is a cd-coloring or not. Therefore, to compute $\chi_{cd}(G)$, we can iterate over all possible colorings of $V(G)$ with at most $n$ colors and return... |
1,477,468,751,362 | arxiv | \section{Introduction}
Lorentz covariance in local inertial frames is a well established
symmetry at the energies of present day experiments. However, its
validity at high energies is subject to test. Possible Lorentz
invariance violations may arise from dynamical modifications
induced by quantum gravity (QG). The eff... |
1,477,468,751,363 | arxiv | \section{Introduction}
Dihadron jet-like correlations with a high transverse momentum ($\pT$) trigger particle provide a unique tool to study the hot and dense medium created in relativistic heavy-ion collisions, owing to the fact that the away-side partner jet has to traverse the entire medium due to the surface bi... |
1,477,468,751,364 | arxiv | \section{Prologue}
{\em `Stratification is a common technique,'} often necessary, but
also attractive because it {\em `may produce a gain in precision
in the estimates of characteristics of the whole population'}
(Cochran (1963), \S 5.1). In fact, if all sampling is done
with replacement and the sample sizes are propor... |
1,477,468,751,365 | arxiv | \section{Introduction}
High-throughput spectroscopic imaging techniques are playing an increasing role in scientific discovery, in areas as diverse as astronomy, biology, materials science, and physics. They also hold promise for commercial applications in a variety of areas such as healthcare, surveillance, consumer ... |
1,477,468,751,366 | arxiv | \section{Introduction}
Diffusion equations and Stokes problems in a time dependent domain are present in countless research areas with many applications such as problems of temperature distribution \cite{doi10113716M1083207}, studies of biological pattern formation and cell motility on evolving surfaces \cite{doi:10.10... |
1,477,468,751,367 | arxiv | \section{\label{sec:level1} Introduction}
By Noether's principle, any continuous symmetry of the action of a physical system corresponds to a conserved quantity. In special relativity, integrating the energy-momentum tensor of matter density against Killing fields in $\mathbb{R}^{3,1}$ gives the well-defined notion of... |
1,477,468,751,368 | arxiv | \section{Introduction}\label{sec:Intro}
Optimal mass transport problems for several marginals arise in many applications of operations research and statistics \cite{bhp-13,ce-10,cmn-10,cfk-13,bcmm-16,ght-14,mtbmmh-15,p-14,ty-05}. The {\em weighted Wasserstein barycenters} are optimal solutions to these problems and ha... |
1,477,468,751,369 | arxiv | \section{Introduction}
Accelerated expansion of the universe has always been one of the most challenging subjects of investigation in cosmology. For early universe, it plays an important role for solving major problems in standard cosmology like horizon and flatness problem. It also provides an effective mechanism for ... |
1,477,468,751,370 | arxiv | \section{Introduction}
Although the minimal supersymmetric Standard Model (MSSM)
has dominated the
phenomenological studies of supersymmetric signals
\cite{HabKan}, it has long been known
that the symmetries of the Standard Model allow additional dimension-four
couplings which may lead to interesting baryon- and lepto... |
1,477,468,751,371 | arxiv | \section{Introduction}
\begin{table*}
\begin{tabular}{cccccccccc}
\hline
GRB & $\alpha_{1}$ & $\Gamma_{x,1}$ & T$_{1}$ & $\alpha_{2}$ & $\Gamma_{x,2}$ & T$_{2}$ & $\alpha_{3}$ & $\Gamma_{x,3}$ & Prob. Chance\\
& & & (s) & & ... |
1,477,468,751,372 | arxiv | \section{Introduction}
The question of whether all of us, living humans, descend exclusively from an anatomically
modern African population which completely replaced archaic populations in other continents,
or if Africans could have interbred with these local hominids has been the subject of a long
lasting and inte... |
1,477,468,751,373 | arxiv | \section{Introduction}
This paper is devoted to the numerical approximation of measure valued solutions to the so-called aggregation equation in space dimension $d$. This equation reads
\begin{equation}\displaystyle\label{EqInter}
\partial_t\rho = \mathop{\rm div}\nolimits\big((\nabla_x W*\rho) \rho\big) , \qquad t>0,... |
1,477,468,751,374 | arxiv | \section{Introduction}
\label{sec:introduction}
The Wigner function~\cite{wigner32,hillery84,case08,curtright14} provides a particularly useful visual representation of the state of a bosonic single mode quantum system as a real valued function on the two-dimensional system phase space. Integrating the Wigner functi... |
1,477,468,751,375 | arxiv | \section{Introduction}
ATLAS and CMS groups in the LHC experiment have reported the
discovery of the Higgs-like particle \cite{lhc}. All the
standard model contents seem to have been found by now.
However, the standard model
has serious problems from experimental and observational view points.
Although the existenc... |
1,477,468,751,376 | arxiv | \section{Introduction}
The model of self-correcting point process was proposed in 1972 by Isham and
Wescott \cite{IW} to describe a stationary sequence of events $\left\{t_1,
t_2,\ldots \right\}$ which does not have the property of Poisson process of
independence of increments on the disjoint intervals. To introduce... |
1,477,468,751,377 | arxiv | \section{Introduction}
\pagenumbering{arabic}
In this paper we are concerned to "breather" and "soliton" solutions
to the Ricci flow. Recall that, given a closed riemannian manifold
$(M^{n},g_{0})$, the Ricci flow is the evolution equation
\begin{align}\label{Ricci equation}
&\frac{\partial g}{\partial t}=-2Ric(g)
\en... |
1,477,468,751,378 | arxiv | \section{\label{section:Intro}Introduction}
The prime numbers theorem and the Dirichlet theorem on primes in arithmetic progressions
(and their generalizations to number fields) rely
respectively on the fact that
\begin{equation}\label{stm::ZetaNotZero}
\zeta(1+it)\neq0
\end{equation}
for each real $t\neq0$
an... |
1,477,468,751,379 | arxiv | \section{Introduction}
This paper considers the representation of energy storage technologies in electricity sector planning models. These models are typically formulated as optimization problems to find least-cost portfolios for power sector investments and dispatch and have been used in the power industry and for a... |
1,477,468,751,380 | arxiv | \section{Related Work}
The effectiveness of any BO approach over hybrid spaces depends critically on the choice of surrogate model. Prior work explored a variety of surrogate models. SMAC \cite{SMAC} employs random forest, which may suffer from inaccurate uncertainty quantification due to its frequentist estimation. T... |
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