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1,314,259,994,863 | arxiv |
\section{PAC Performance with Different Shots} \label{sec:diff-shots}
In Figure \ref{fig:diff_shots}, we plot the target accuracy of 4 methods on the \emph{real} to \emph{clipart} adaptation scenario of Office-Home, for different number of labelled target examples. The method ``CR'' represents the consistency regular... |
1,314,259,994,864 | arxiv | \section{Introduction}\label{sec:intro}
Among all the applications of the Heegaard Floer package, the mapping cone formula proved by Ozsv\'ath and Szab\'o first for integer surgery \cite{integer} then for rational surgery \cite{rational}, is one of the most influential tools. It connects the Heegaard Floer theory wi... |
1,314,259,994,865 | arxiv | \section{Introduction}
Here we consider the following family of non-autonomous nonlinear second-order differential equations
\begin{equation}\label{eq:eq1}
y_{zz}+f(z,y) y_{z}^{2}+g(z,y)y_{z}+h(z,y)=0,
\end{equation}
where $f$, $g$ and $h$ are arbitrary sufficiently smooth functions. We assume that $gh\not\equiv0$ a... |
1,314,259,994,866 | arxiv | \section{Introduction}
In this work,
we study the numerical discretization of a nonlocal analog of the classical Lighthill-Richards-Whitham (LWR) model \cite{lighthill1955kinematic,richards1956shock}. The latter, given by
\begin{align}
\partial_t \rho(t,x) + \partial_x \left( \rho(t,x) v(\rho(t,x)) \right) =0 , \lab... |
1,314,259,994,867 | arxiv | \section{Introduction}
In this paper, we introduce a class of infinite simple groups based on the idea of applying ``(reversible) gates'', namely maps that modify only a bounded set of coordinates, simultaneously at various positions of an ambient group $G$. More precisely we apply them on translates of finite-index s... |
1,314,259,994,868 | arxiv | \section*{Abstract}
Nowadays processing of Big Security Data, such as log messages, is commonly used for intrusion detection purposed. Its heterogeneous nature, as well as combination of numerical and categorical attributes does not allow to apply the existing data mining methods directly on the data without feature pr... |
1,314,259,994,869 | arxiv | \section{Introduction}
In the past few years, Mrk~231 has become arguably the best laboratory
to study quasar feedback in action. One reason for this is the
proximity of Mrk~231: at a distance\footnote{Based on a redshift $z$ =
0.0422 and a cosmology with $H_0$ = 73 km s$^{-1}$ Mpc$^{-1}$,
$\Omega_{\rm matter}$ = ... |
1,314,259,994,870 | arxiv | \section{Introduction}
Fluid flows have a important role in engineering science. To understand the complex phenomena that arise in them, computing analytical solutions may be helpful. Indeed, an analytical solution may serve as a simplified model of the flow in a particular configuration. It may also be used to cali... |
1,314,259,994,871 | arxiv | \section{Introduction}
\label{sec:intro}
The subject of this paper is a new type of tiling of certain subsets $D$ of
$\mathbb{R}^{M}$. Such a domain $D$ is a fractal blow-up (as defined in
Section~\ref{defsec}) of certain similitude iterated function systems (IFSs);
see also \cite{manifold, strichartz}. For an import... |
1,314,259,994,872 | arxiv | \section{Introduction}
For a smooth projective variety $X$ defined over a number field, one can ask whether the set of rational points is dense.
It is expected that the set of rational points reflects the positivity of the canonical bundle $\omega_{X}$ (cf. the Bombieri-Lang conjecture) and it is tempting to study the ... |
1,314,259,994,873 | arxiv | \section{Introduction}\label{intro_sec}
Microreversibility expresses the symmetry of the microscopic Hamiltonian dynamics of a system under the time-reversal transformation \cite{deGr}. Such a symmetry holds both for classical and quantum systems in the absence or the presence of an external magnetic field $\bm{B}$. I... |
1,314,259,994,874 | arxiv | \section{The Identification of Source Problem}
The goal of a forensic scientist is help decide between two competing forensic hypotheses, one presented by the prosecution, denoted $H_p$, and one by the defense, denoted $H_d$. Sampling models corresponding to each of the forensic hypotheses are denoted $M_p$ and $M_d$, ... |
1,314,259,994,875 | arxiv |
\section{Introduction}
\label{seq:intro}
Text-guided image generation has seen tremendous success in recent years, primarily due to the breathtaking development in Language-Image models~\cite{radford2021learning, jia2021scaling,li2022blip} and diffusion models~\cite{rombach2021highresolution, imagen, ramesh2021zerosho... |
1,314,259,994,876 | arxiv | \section{Introduction}\label{introduction}
The study of the order of zeros of $L$-functions is one of the central problems in number~theory. It is conjectured that all nontrivial zeros of the Riemann zeta function lie on the critical line $\Re(s) = \frac{1}{2}$ and are simple. On the other hand, there exist number fiel... |
1,314,259,994,877 | arxiv | \section{Introduction}
\label{sec:int}
To study the gravitational field of slowly uniformly rotating and slightly deformed relativistic objects, Hartle developed in his original work \cite{hartle1967} a method in the slow rotation approximation, extending the well-known exterior and interior Schwarzschild solutions. ... |
1,314,259,994,878 | arxiv | \subsection{GENERAL DEFINITIONS AND PROPERTIES}
In \cite{schwinger}, two basic unitary $d\times d$ matrices $U,\ V$ are introduced.
Let
\begin{equation}} \def\edq{\end{equation}
\label{q}
q:= \exp\left(\frac{2i\pi}{d}\right)
\edq
They are of the following form:
\begin{equation}} \def\edq{\end{equation}
\label{U}... |
1,314,259,994,879 | arxiv | \section{Introduction}
\label{introduction}
\begin{table}[htb]
\caption{Mean absolute error of the predicted saliency maps (MAE$_{global}$) and edge areas (MAE$_{edge}$) of two state-of-the-art methods over three datasets. MAE$_{edge}$ is much larger than MAE$_{global}$, demonstrating that edge prediction is more di... |
1,314,259,994,880 | arxiv | \section{Introduction}
\label{sec:intro}
The next generation of robots, that can operate in and adapt to unstructured and dynamic environments, must possess a diverse set of skills. However, it is implausible to pre-program robots with a library of all required skills. Learning from Demonstration (LfD) \cite{argall200... |
1,314,259,994,881 | arxiv | \section{Introduction}
If $G$ is a virtually torsion-free group, the virtual cohomological
dimension $\vcd G$, is defined to be the cohomological dimension of
a torsion-free finite-index subgroup $H\leq G$; a lemma due to
Serre shows that this is well defined~\cite[VIII.3.1]{brownco}.
Now suppose that $X$ is... |
1,314,259,994,882 | arxiv | \section{Introduction}
{\renewcommand*{\thetheorem}{\Alph{theorem}}
A normal complex surface singularity $(X,0)$ can be resolved either by a sequence of normalized point blowups, following seminal work of Zariski \cite{Zariski1939} from the late nineteen thirties, or by a sequence of normalized Nash transforms, as ... |
1,314,259,994,883 | arxiv | \section{Introduction}
Shortly after the discovery of pulsars and the realization that they are
rotating neutron stars, deformations of rotating neutron stars were proposed as
sources of continuous gravitational radiation~\cite{Shklovskii1969,
Ostriker1969, Ferrari1969, Melosh1969}; see~\cite{Press1972} for an early
r... |
1,314,259,994,884 | arxiv | \section{INTRODUCTION}
The configuration-mediated directionality of non-covalent bonds between proteins explains their propensity to self-assemble into fibrils and filaments \cite{oosawa75,pollard86,dobson06,chandler05,irback03}. Protein filaments are ubiquitous in biology, forming inside the cells or in the extra-cell... |
1,314,259,994,885 | arxiv | \section{Introduction and motivation}
\setcounter{equation}{0}
In modern mathematical physics, hypergeometric and
$q$-hypergeometric functions have found their applications in the
development of the theory of difference equations and in quantum and
non commutative geometry. And in many results, like the theory of
latt... |
1,314,259,994,886 | arxiv | \section{Introduction}
Decentralized decision-making in robotic networks is a ubiquitous problem, with applications as diverse as state estimation \cite{ROS:07}, formation control \cite{WR-RWB-EMA:07}, and cooperative task allocation \cite{MdW-BC:09}. In particular, the consensus problem, where the nodes in a robotic n... |
1,314,259,994,887 | arxiv | \section{Introduction}
\label{sec:intro}
\begin{figure*}
\centering
\includegraphics[trim=0cm 1.5cm 1cm 15.5cm,clip,width=1.0\textwidth]{cmd_cubi.pdf}
\caption{Left: the brighter portion of the CMD of the Carina dwarf in the \hbox{\it V\/}\ vs \hbox{\bb--\vv\/}\ plane. The
large colored circles represent the spectrosc... |
1,314,259,994,888 | arxiv | \section{Introduction}
One of the main goals of theoretical condensed-matter physics is to achieve a systematic understanding of the interplay between symmetry and topology in many-body systems. The topological properties of noninteracting band insulators can be characterized by various kinds of winding numbers, such ... |
1,314,259,994,889 | arxiv | \section{Introduction}\label{sec:introduction}%
\global\everypar=\everypar}}%
\vspace{-1\baselineskip}\vspace{-\parskip}\par
\else
\section{Introduction}\label{sec:introduction}\par
\fi
%
%
%
\IEEEPARstart{I}{n} recent years there has been a growing interest in studying the motion of large groups of objects,... |
1,314,259,994,890 | arxiv | \section{ Introduction }
By its name, a waveguide serves for propagating waves which may be of
different physical origins: fluctuations of pressure in acoustics,
electromagnetic waves in optics, particle waves in quantum mechanics,
surface water waves in hydrodynamics, etc. The transmission
properties of a waveguide ... |
1,314,259,994,891 | arxiv | \section{Introduction}
\noindent Most real-world data is multidimensional, i.e. it is a function of several independent variables, and typically represented by a multidimensional array of numbers. These arrays are often referred to as tensors \cite{de2000multilinear}. For instance, a color image is a third-order tensor... |
1,314,259,994,892 | arxiv | \section{Introduction}
The small-sale dynamics of turbulent flows is governed by highly non-linear and non-local dynamical processes, whose statistics are strongly intermittent in space and time \citep{Yeung2012,Buaria2019}.
Moreover, the strong and intermittent small-scale dynamics can generate coherent structures at... |
1,314,259,994,893 | arxiv | \section{Introduction}
Gaussianity plays a central role in current
theories of structure formation \cite{Peebles2}.
Inflationary theories are normally
invoked to justify Gaussianity \cite{inflCMBR} but, historically,
simplicity was perhaps what first motivated this assumption.
As data has started to flood cosmolog... |
1,314,259,994,894 | arxiv | \section{Introduction}
The M\"obius strip \cite{pickover} has attracted the interest of
researchers and academics due to its fascinating geometric properties
\cite{macho}. In spite of its name \cite{mactutor}, it was not discovered
first by August Ferdinand M\"obius, but independently by Johann Benedict Listing \cite... |
1,314,259,994,895 | arxiv |
\section{Introduction}\label{sec:intro}
Water masers are known to be abundant in low- and high-mass star-forming regions, where they trace collimated
outflows \citep[e.g.,][]{Furuya1999,Furuya2000,Hollenbach2013,Moscadelli2013}, and protoplanetary disks \citep{Fiebig1996,Torrelles1998}, both of which are key featu... |
1,314,259,994,896 | arxiv | \section{Introduction}
For a set $V$ and a positive integer $r$, let $V^{(r)}$ be the family of all $r$-subsets of $V$. An {\it $r$-uniform hypergraph} $G$, (or {\it $r$-graph}, for short), consists of a set $V$ of vertices and a set $E\subseteq V^{(r)}$ of edges. For
an integer $n\in \mathbb{N}$, we denote the set $\... |
1,314,259,994,897 | arxiv | \section{Introduction}
The mechanisms of failure of materials under stress are of paramount importance because of their use in a wide variety of applications \cite{Freund,Kanninen,Cadwell,Rivilin,Griffith}. Brittle materials usually break at very small deformations, typically on the order of a percent or less. In addi... |
1,314,259,994,898 | arxiv | \section{Introduction}
\ifFull
In an intriguing confluence of computational geometry and networking,
\emph{geometric routing} has shown how simple
geometric rules can replace cumbersome routing tables
to facilitate effective message passing in a network
(e.g., see~\cite{bmsu-rgdah-01, eg-sggdh-08,kk-gpsr-00,%
k-gruhs... |
1,314,259,994,899 | arxiv | \section{Introduction}\label{AR_s:introduction}
\subsection{Appetizer}\label{AR_s:appetizer
Consider throwing balls labeled $1, 2, \ldots, n$ into
a V-shaped bin with perpendicular sides.
\begin{center}
\[
\begin{tikzpicture}[scale=0.14
\draw (-97,9) -- (-88,0) -- (-79,9); \draw (-88,3) circle (2);
\draw(... |
1,314,259,994,900 | arxiv | \section{INTRODUCTION}
In hyperparameter tuning of machine learning models, we seek to find hyperparameters $x$ in some set ${A} \subseteq \mathbb{R}^d$ to minimize the validation error $f(x)$, i.e., to solve
\begin{equation}
\min_{x\in\mathbb{A}} f(x)
\label{eqn:min_f}
\end{equation}
Evaluating $f(x)$ can take substan... |
1,314,259,994,901 | arxiv |
\section{Introduction}
\noindent
Due to
the increasing concerns in understanding the reasoning behind AI decisions for critical applications,
interpretable Machine Learning (ML) models gained a lot of attention.
Examples of such ML
applications include job recruitment, bank credit applications, and justice~\cite{EUla... |
1,314,259,994,902 | arxiv | \section{Introduction}
The study of group actions on metric space is a broad topic in which one studies the interplay between the group structure and the structure of the metric space on which it acts. When considering a group action on Hilbert spaces, property (FH) is an imporant notion which is defined as follows:... |
1,314,259,994,903 | arxiv | \section{Definitions}
\label{sec_def}
We introduce these scaled variables:
\begin{itemize}
\item the scaled mutation rate $\theta=2 N_0 \mu$
\item the scaled sweep rate $\nu=2N_0 V$
\item the scaled selection coefficient $\sigma=2Ns$
\item the scaled time to the common a... |
1,314,259,994,904 | arxiv | \section{Introduction}
In this paper, we study the $C^0$ (non-Lagrange) finite element
approximations of the linear elliptic equations in non-divergence form
\begin{equation} \label{eq:nondiv}
Lu := A: D^2 u = f \quad \text{in }\Omega, \qquad
u = 0 \quad \text{on }\partial \Omega,
\end{equation}
and the Hamilton-Jac... |
1,314,259,994,905 | arxiv | \section{Introduction}
In recent years helical curves are studied widely in Euclidean and non-Euclidean spaces. Generalized helices, slant helices, isophote curves and relatively normal slant helices are such curves. When we study about curves, we need a frame of reference along the curve, as a result many moving fram... |
1,314,259,994,906 | arxiv | \section{Introduction}
Point cloud instance segmentation is a classic task in 3D computer vision, and it can be applied in many fields, including indoor navigation systems, augmented reality, and robotics. The fully supervised instance segmentation methods~\cite{liang2021instance,chen2021hierarchical,jiang2020pointgrou... |
1,314,259,994,907 | arxiv | \section{Introduction}
Experimental data for pion transition form-factor $F_{\pi\gamma^*\gamma}$ obtained by the BaBar collaboration~\cite{Aubert:2009mc} indicate growth of $Q^2 F_{\pi\gamma^*\gamma}$ at large $Q^2$ that is inconsistent with rigid prediction of QCD factorization theorems~\cite{Lepage:1980fj}
\begin{equ... |
1,314,259,994,908 | arxiv | \section{Introduction}
A key insight of statistical mechanics is that {\em
equilibrium} states can be accurately described in terms of only a
small number of thermodynamic variables, such as temperature and
pressure. For non-equilibrium systems such as glasses no similar
simplification exists {\em a
priori}; the whol... |
1,314,259,994,909 | arxiv | \section{Introduction}
The study of ultracold quantum gases is interlinked with controlling
magnetic Fano-Feshbach resonances and thereby changing the effective
interparticle interaction by many orders of
magnitudes~\cite{inouyeNature98,courteillePRL98}, see also
Refs.~\onlinecite{timmermansPhysRep99,giorginiRMP08,chi... |
1,314,259,994,910 | arxiv | \section{Introduction}
Over the years, finite-size-scaling (FSS) techniques have proved
themselves an indispensable tool for computer simulation
investigations of critical phenomena in model systems, facilitating
accurate estimates of infinite volume quantities from simulations of
finite size. Of the many previous FSS... |
1,314,259,994,911 | arxiv | \section{Introduction}
Model-free reinforcement learning (RL) techniques offer a generic framework for optimizing decision making from raw feedback signals such as system performance~\cite{SuttonBarto1998}, thus not requiring an analytical model of the system. In recent years, deep reinforcement learning (DRL) approach... |
1,314,259,994,912 | arxiv | \section{Introduction}
Large amounts of remote sensing images are produced daily from airborne and spaceborne sensors and can be used to monitor the state of our planet. Among the last generation sensors, the European Copernicus program has launched a series of satellites with multispectral sensors named Sentinel-2 (S... |
1,314,259,994,913 | arxiv | \section{Sample Information}
The hexagonal boron nitride/ graphene heterostructure was assembled by the standard dry transfer stamping method from mechanically exfoliated flakes. The stack was then deposited on a silicon chip with a 280 nm oxide layer. The contacts were made of sputtered Molybdenum-Rhenium alloy (50-5... |
1,314,259,994,914 | arxiv | \section{Introduction}
\label{sec:intro}
Many supervised learning tasks involve designing and optimizing a loss function
that is often different from the actual performance metric for evaluating models.
For example, cross-entropy is a popular loss function for training a multi-class
classifier, but when it comes to co... |
1,314,259,994,915 | arxiv | \section{Introduction}
Early in the debate over the symmetry of the
superconducting order in the cuprates, a rather convincing
picture of the microwave properties of the YBCO-123 system was put
forward by Bonn {\it et al.}, \cite{bonnetal93} and later placed on a
microscopic foundation\cite{HPS,Rieck,SchachingerCar... |
1,314,259,994,916 | arxiv | \section{Introduction}
Observation made by SUMER instrument on board SoHO confirms that longitudinal standing (slow) magneto--acoustic waves have been seen to suffer a rapid damping \citep{Kliem02,Wang02,Wang03b}. Modelling for observed oscillations by SUMER have been carried out by \cite{Taroyan07}, where excitation ... |
1,314,259,994,917 | arxiv | \section*{Acknowledgement}}{}
\newenvironment{romenumerate}[1][0pt]
\addtolength{\leftmargini}{#1}\begin{enumerate
\renewcommand{\labelenumi}{\textup{(\roman{enumi})}}%
\renewcommand{\theenumi}{\textup{(\roman{enumi})}}%
}{\end{enumerate}}
\newcounter{oldenumi}
\newenvironment{romenumerateq
{\setcounter{oldenumi}{... |
1,314,259,994,918 | arxiv | \section{Introduction}
In algebraic number theory, the task to determine the class number of a number field $k$ is until nowday a classical and difficult open problem, although we have explicit formulas and relations of class numbers.\\
In the case when this task is hard to deal with it, its seems satisfactory to deter... |
1,314,259,994,919 | arxiv | \section{Introduction}
\label{sec:intro}
Data-collection rates in high energy physics (HEP) experiments, particularly those at the Large Hadron Collider (LHC),
are a continuing challenge and resulting datasets require large amounts of computing power to process.
For example, the \mbox{LHCb}\xspace experiment~\cite{Alv... |
1,314,259,994,920 | arxiv | \section{Claims and Insights}
This short note is accompanied by a Google Colab
notebook\footnote{%
Available
at~\href{https://github.com/google-research/google-research/tree/master/m\_theory/colab/hamming78.ipynb}{https://github.com/google-research/google-research/tree/master/m\_theory/colab/hamming78.ipynb}, and also... |
1,314,259,994,921 | arxiv | \section{Introduction and main results}
\subsection*{Reflected Brownian motion in orthants}
Reflected Brownian motion (RBM) in orthants $\mathbb R_+^d$ is a fundamental stochastic process. Starting from the eighties, it has been studied in depth, with focuses on its definition and semimartingale properties \cite{VaWi... |
1,314,259,994,922 | arxiv | \section{Introduction}
\medskip
In this paper, we study infinite tensor products of some algebraic structures.
In the literature, infinite tensor products are often defined as inductive limit of finite tensor products (see e.g. \cite{Black}, \cite{Bru} \cite{Flor}, \cite{GN}, \cite{Pow}).
As far as we know, t... |
1,314,259,994,923 | arxiv | \section{Introduction}
The plastic deformation of crystalline materials is primarily carried out by the motion of a large number of atomistic line defects, i.e. dislocations. Based on the accumulated knowledge about the behavior of individual dislocations \cite{Hirth}, discrete dislocation dynamics (DDD) models \cite{... |
1,314,259,994,924 | arxiv | \section{Introduction}
Many fields of astrophysics aim to measure increasingly faint signals. For instance, there is great interest at present in detecting and characterizing the B-mode \cite{Zaldarriaga:1997p247} of the polarized Cosmic Microwave Background (CMB). The strength of this signal is not yet determined by ... |
1,314,259,994,925 | arxiv | \section{Introduction}
Clusters of galaxies are the largest and most massive gravitationally bound systems in the Universe.
Clusters of galaxies are considered, at the same time, unique astrophysical laboratories and powerful cosmological probes \citep[e.g.,][]{White93, Bartlett94, Via99, Borgani01, Vikhlinin09, Rozo... |
1,314,259,994,926 | arxiv | \section{Introduction}
Let $\P^n$ be the projective space of dimension $n$ over the field $\R$
of all real numbers or the field $\C$ of all complex numbers.
In \cite{Ti}, a \emph{planarization} was defined as a mapping
$\Phi:U\to\P^n$, where $U\subset\P^2$ is an open subset, such that
$\Phi(\lambda\cap U)$ is a su... |
1,314,259,994,927 | arxiv | \section{Introduction}
Computer simulation is an essential tool for studying physical properties
of many-particle systems. The Metropolis-type Monte Carlo simulation
\cite{metro53} with a single spin flip has been a success as a standard method
of simulation of many-particle systems. However, the single-spin-fl... |
1,314,259,994,928 | arxiv | \section{
Main Result} \label {sec_4} \subsection {
Theorem} \label {thm_4.1} {\it
Let $\Ycal$ be a closed subspace of $\overline {\Ccal \sb 0}(\X)$ such that $\Ycal$ is a subset of $\lkpar \Fcal L \sp 1 \rkpar (\X)$ where $X = \Rn$ or $X = \Tn$. If $\Ycal$ is reflexive then it is of finite dimension.} \par \ \pa... |
1,314,259,994,929 | arxiv | \section{Introduction}
The shape of the stellar Initial Mass Function (IMF) and whether it is
universal or not are key issues in astrophysics.
For clusters within 2 kpc, there is no compelling evidence for variations in
the stellar IMF \citep[e.g.][]{meyer00,kro02,chabrier_conf} or the brown dwarf
IMF \citep[e.g... |
1,314,259,994,930 | arxiv | \section{Introduction}
Thermal transport in semiconductors and dielectrics is determined by phonon scattering processes. Intrinsic phonon-phonon scattering includes three-phonon, four-phonon and higher-order phonon processes. The scattering rate $\tau^{-1}$, reciprocal of phonon relaxation time $\tau$, is essential in... |
1,314,259,994,931 | arxiv | \section{Introduction}
\IEEEPARstart{D}{uring} the months between October 2015 and March
2016, Greece has witnessed an unprecedented influx of refugees across
the sea borders with Turkey. Tens or even hundreds of boats, each
carrying 50 people or more, were landing on a daily basis throughout
the Greek islands t... |
1,314,259,994,932 | arxiv | \section{Introduction}
Harris criterion \cite{Harris} deals with the stability of criticality against weak randomness in an average sense. Suppose a spin system with a critical temperature $T_{c}$, reduced by disorder. Since disorder breaks the translational symmetry, it is natural to consider an average local critica... |
1,314,259,994,933 | arxiv | \section*{Acknowledgements}
I would like to thank the organizers of \textit{CKM 2012} for the invitation and a pleasant workshop. I gratefully acknowledge the support by grants of the German National Academic Foundation, the State of Bavaria, the Elite Network of Bavaria, and the German Academic Exchange Service. My wo... |
1,314,259,994,934 | arxiv | \section{\label{sec:level1}Introduction\protect\\\lowercase{} }
Atoms and molecules interacting with intense ($\gtrsim 10^{14}\,{\rm W/cm}^2$) visible-to-midinfrared laser pulses exhibit nonperturbative nonlinear response such as above-threshold ionization (ATI), tunneling ionization, high harmonic generation (HHG) a... |
1,314,259,994,935 | arxiv | \section*{{\sc Abstract}} \addcontentsline{toc}{section}{\sc Abstract}
Modern population genetics studies typically involve genome-wide genotyping of individuals from a diverse network of ancestries. An important problem is how to formulate and estimate probabilistic models of observed genotypes that account for compl... |
1,314,259,994,936 | arxiv | \section{Introduction}
\label{SEC:intro}
We consider the numerical solution of the initial-boundary value problem (IBVP)
of the porous medium equation (PME) in two dimensions,
\begin{equation}
\begin{cases}
u_t = \nabla \cdot(|u|^m \nabla u) , \quad & \text{in} \quad \Omega \times (t_0,T] \\
u(\v... |
1,314,259,994,937 | arxiv | \section{}
\label{append}
The lowest-order polarization insertion is,
\begin{widetext}
\begin{equation}
\label{polpro}
\Pi^{0}(q_0, \v{q}) = 4 \int \frac{d^{3} k}{(2 \pi)^{3}} \,
\theta(|\v{q}+\v{k}|-k_{F}) \theta(k_{F}-k) \,
\left( \frac{1}{q_0- t_{q+k}+t_{k} + \imath \eta} -
\frac{1}{q_0+ t_{q+k}-t_{k} - \imath \eta... |
1,314,259,994,938 | arxiv | \section{Introduction}
\label{s:intro}
Following the overly optimistic expectations of early research, after several decades of intense research on the one hand and relatively disappointing practical results on the other, face recognition technology has been finally started to enjoy some success in the consumer market.... |
1,314,259,994,939 | arxiv | \section{Introduction}
Ring galaxies show a pronounced ring structure surrounding an
apparently empty region in which an offcentered nucleus can often be seen. Such
objects are relatively rare and are mainly found in low density environments.
Their properties have been reviewed and compared to those of disc ga\-la\-... |
1,314,259,994,940 | arxiv | \section{Introduction}
The phenomenon of \emph{uniaxial anisotropy} in permalloy Ni$_{80}$Fe$_{20}$~at.\% (Py) films and its correlation with microstructure has attracted considerable scientific and industrial interest for decades. The proposed explanations for uniaxial anisotropy include oriented defects and oxides, ... |
1,314,259,994,941 | arxiv | \section{Introduction}
Node property prediction is a ubiquitous task involving graph data with node features and/or labels, with a wide range of instantiations across real-world scenarios such as node classification \citep{velivckovic2017graph} and link prediction \citep{zhang2018link}, while also empowering graph clas... |
1,314,259,994,942 | arxiv | \section{\label{sec:results}Acknowledgements}
This material is based upon work supported by the Department of Energy National Nuclear Security Administration under Award Number DE-NA0003856.
M.F.K. and S.M.V. acknowledge support from the UK EPSRC grant EP/P015794/1 and the Royal Society. S.M.V. is a Royal Society Uni... |
1,314,259,994,943 | arxiv | \section{Introduction}
Ly$\alpha$ emission from reprocessed ionizing photons in star-forming galaxies is
a prominent feature that has been used to detect high redshift galaxies
\citep[e.g.,][]{Partridge67,Rhoads03,Gawiser07,Ouchi08,Hill08,Guaita10,
Ciardullo12}.
Such Ly$\alpha$ emitting galaxies (or Ly$\alpha$
e... |
1,314,259,994,944 | arxiv |
\section{Hyperparameters}\label{app:hyperparams}
Our method inherits the hyperparameters of text-to-image diffusion models and SDEdit \cite{SDEdit}. In addition, we introduce several other hyperparameters in this work that control the diversity of the synthetic images. Specific values for these hyperparameters are g... |
1,314,259,994,945 | arxiv | \section{#1}\setcounter{equation}{0}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newcommand{\rangle}{\rangle}
\newcommand{\langle}{\langle}
\newcommand{\partial}{\partial}
\newcommand{{\Phi}}{{\Phi}}
\newcommand{{Q_B}}{{Q_B}}
\newcommand{{\eta_0}}{{\eta_0}}
\newcommand{{{A}}}{{{A}}}
\newcommand{\big\ra... |
1,314,259,994,946 | arxiv | \section{Introduction}\label{intro}
Our present understanding of the universe and its evolution implies the existence of black holes, bodies whose masses are packed in such small volumes that not even light can escape.
We have experimental evidence that such objects do exist from observations of x-ray binaries, which... |
1,314,259,994,947 | arxiv | \section{Introduction}
In most cosmological models usually considered, the matter is dealt
with as a continuous medium. The aim of the present paper is to point
out how relevant are the gravitational effects which are due to the
discreteness of matter, thought of as constituted of galaxies
described as point particles,... |
1,314,259,994,948 | arxiv | \section{Introduction}
Regardless of numerous experimental and theoretical investigations of metal-oxide interfaces, very little is known about the effect of the interfacial geometry on electron transport. The issue is of paramount importance particularly for metal-insulator-metal (MIM) tunnel junctions where a thin ox... |
1,314,259,994,949 | arxiv | \section{Introduction}
Reaching the diffraction limit in the visible wavelength is one of the main reasons to place optical telescopes on-board satellites such as the Hubble Space Telescope (HST), thereby avoiding the distortions and blurring that the atmosphere introduces on the unaltered wavefronts. With its life-cy... |
1,314,259,994,950 | arxiv | \section{Introduction}
\IEEEPARstart{M}{atrix} recovery considers the problem of reconstructing a data matrix from a small number of measurements.
This problem has many applications, such as
recommedation system \cite{Goldberg92usingcollaborative}, X-ray crystallography \cite{Harrison93crystallography}, quantum tomogr... |
1,314,259,994,951 | arxiv |
\section{Conclusions and Open Problems}
We have largely resolved the problem of feasibility in the Tensor-Train format through the connection to
eigenvalue problems, honeycombs and systems of linear inequalities.
From the topological perspective, the fact that sets of squared feasible values form finitely generate... |
1,314,259,994,952 | arxiv |
\subsection{Dynamic Neural Radiance Fields}
We represent the dynamic radiance field of a talking human head using a multi-layer perceptron (MLP) $\mathcal{D}_{\theta}$ that is embedded in a canonical space.
As the dynamic radiance field is a function of position $\mathbf{p}$, view $\vec{v}$ and dynamics in terms of ... |
1,314,259,994,953 | arxiv | \section{Introduction}
Magnetic materials with topological spin textures have attracted considerable attention for use in spintronic devices \cite{tokura}. Materials with magnetic skyrmions are considered useful for nonvolatile \cite{nonvolatile}, low power computing \cite{lowpower1, lowpower2, lowpower3} as topologic... |
1,314,259,994,954 | arxiv | \section{Introduction}
The conception of quantum weak measurement was introduced by
Aharonov, Albert, and Vaidman (AAV) in 1988~\cite{AAV}. Their theory
is based on the von Neumann measurement with a very weak coupling
between two quantum systems~\cite{Jozsa}, for example, the weak
spin-orbit coupling of electrons... |
1,314,259,994,955 | arxiv | \section{Introduction}
Since the first large scale simulations of self gravitating systems
the direct $N$-body method has gained a solid footing in the research
community. At the moment $N$-body techniques are used in astronomical
studies of planetary systems, debris discs, stellar clusters, galaxies
all the way to si... |
1,314,259,994,956 | arxiv |
\section{Introduction}\label{sec:intro}
Measurement of the solar photospheric magnetic field is well-established and long-standing: routine observations have been now been made for over 75 years \citep[see][]{Babcock53, HowardBabcock60, HowardEtal83}. A variety of instruments currently make regular measurements of t... |
1,314,259,994,957 | arxiv | \section{Introduction}\label{sec:intro}
Wavelet techniques have a long standing history in the field
of data science. Applications comprise
signal processing, image analysis and machine learning,
see for instance \cite{Chui,Dahmen,Daubechies,Mallat,Mallat2016}
and the references therein. Assuming a signal generated
by... |
1,314,259,994,958 | arxiv | \section{Introduction}
The lack of a generically meaningful notion of local energy density in
general relativity is well-known \cite{MTW,ABS,BY}. Essentially, this is
due to the absence of an unambiguous prescription for decomposing the
spacetime metric into ``background'' and ``dynamical'' components.
\footnote{Se... |
1,314,259,994,959 | arxiv | \section{Introduction}
\label{sec:intro}
We live in a dynamic and changing world. In the NLP context, a language model (LM) on COVID may be quickly outdated due to the ever-changing variants. It is desirable to continually update the LM using the latest data. A dialogue system needs to keep learning new skills.
A se... |
1,314,259,994,960 | arxiv | \section{Conventional phase space path integrals}
There is considerable appeal in the formal phase space path integral
\bn\<q''|\,e^{-i{\cal H} T }\,|q'\>={\cal N}\int e^{i\textstyle\int[p{\dot q}-h(p,q)]\,dt}
\,{\cal D} p\,{\cal D} q \en
which yields the propagator in the $q$-representation \cite{fey}. In this
rela... |
1,314,259,994,961 | arxiv | \section[Introduction]{Introduction} \label{sec:intro}
Time-varying parameter (TVP) models are
widely used in time series analysis, because of their flexibility and ability to capture gradual changes in the model \comment{parameters}
over time. The popularity of TVP models in macroeconomics and finance is based on the... |
1,314,259,994,962 | arxiv | \section{Introduction}
Fix a prime $\ell$. We assume that all schemes are qcqs, and live over $\mathbb Z[\tfrac 1\ell]$. Let $f: X\to S$ be a morphism of finite presentation between such schemes. The goal of this paper is to introduce a ``relatively (over $S$) perverse $t$-structure'' on the derived category of \'etal... |
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