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\section{The four vertex theorem}
The classic 4-vertex theorem states that {\it the curvature of a smooth closed convex planar curve has at least four critical points}, see Figure \ref{ellipse} for an illustration.
\begin{figure}[hbtp]
\centering
\includegraphics[height=2in]{ellipse}
\caption{An ellipse and its evolu... | {'timestamp': '2018-06-18T02:10:56', 'yymm': '1805', 'arxiv_id': '1805.12065', 'language': 'en', 'url': 'https://arxiv.org/abs/1805.12065'} | ArXiv |
\section{Introduction}
This paper considers the question of determining the number of covers
between genus-$0$ curves with fixed ramification in positive
characteristic. More concretely, we consider covers $f:{\mathbb P}^1\to
{\mathbb P}^1$ branched at $r$ ordered points $Q_1, \ldots, Q_r$ of fixed {\em
ramification ... | {'timestamp': '2009-06-09T19:52:34', 'yymm': '0906', 'arxiv_id': '0906.1793', 'language': 'en', 'url': 'https://arxiv.org/abs/0906.1793'} | ArXiv |
\section{Introduction and main results}
In this note we are interested in the existence versus non-existence of stable sub- and super-solutions of equations of the form
\begin{equation} \label{eq1}
-div( \omega_1(x) \nabla u ) = \omega_2(x) f(u) \qquad \mbox{in $ {\mathbb{R}}^N$,}
\end{equation} where $f(u)$ is one o... | {'timestamp': '2011-08-17T02:00:55', 'yymm': '1108', 'arxiv_id': '1108.3118', 'language': 'en', 'url': 'https://arxiv.org/abs/1108.3118'} | ArXiv |
\section{Introduction}
\label{sec:intro}
\begin{figure}
\centering
\begin{tabular}{c c c}
\begin{minipage}[c]{0.3\linewidth}
\includegraphics[width=\linewidth, height=1.4\linewidth]{res/img/example/2.jpg}
\end{minipage} &
\begin{minipage}[c]{0.3\linewidth}
\includegraphics[width=\linewid... | {'timestamp': '2020-08-13T02:11:53', 'yymm': '2008', 'arxiv_id': '2008.05156', 'language': 'en', 'url': 'https://arxiv.org/abs/2008.05156'} | ArXiv |
\section{Introduction}
Dynamic contrast enhanced MRI (DCE-MRI) in the liver is widely used for detecting hepatic lesions and in distinguishing malignant from benign lesions. However, such images often suffer from motion artifacts due to unpredictable respiration, dyspnea, or mismatches in k-space caused by rapid injec... | {'timestamp': '2018-10-04T02:05:48', 'yymm': '1807', 'arxiv_id': '1807.06956', 'language': 'en', 'url': 'https://arxiv.org/abs/1807.06956'} | ArXiv |
Abstract: Motion artifacts are a primary source of magnetic resonance (MR) image quality deterioration with strong repercussions on diagnostic performance. Currently, MR motion correction is carried out either prospectively, with the help of motion tracking systems, or retrospectively by mainly utilizing computationall... | {'timestamp': '2019-04-22T22:38:06Z', 'url': 'https://arxiv.org/abs/1809.06276', 'language': 'en', 'source': 'c4'} | ArXiv |
\section{Introduction}
\label{sec:intro}
Let $G$ be a simply-connected, simple compact Lie group.
Principal $G$-bundles over $S^{4}$ are classified by the value
of the second Chern class, which can take any integer value. Let
\(\namedright{P_{k}}{}{S^{4}}\)
represent the equivalence class of principal $G$-bundle w... | {'timestamp': '2019-09-12T02:11:50', 'yymm': '1909', 'arxiv_id': '1909.04643', 'language': 'en', 'url': 'https://arxiv.org/abs/1909.04643'} | ArXiv |
\section{Global Meshing by Labatut~et~al.}
\label{sec:base_method}
Our base method is a global meshing approach by Labatut~et~al.~\cite{labatut07delaunay},
which requires a point cloud with visibility information as input (i.e. which point was reconstructed using which cameras/images).
With this data,
they first comp... | {'timestamp': '2017-05-03T02:06:05', 'yymm': '1705', 'arxiv_id': '1705.00949', 'language': 'en', 'url': 'https://arxiv.org/abs/1705.00949'} | ArXiv |
\section{Introduction}
Coronal lines are collisionally excited forbidden transitions within
low-lying levels of highly ionized species (IP $>$ 100 eV). As such,
these lines form in extreme energetic environments and thus
are unique tracers of AGN activity; they are not seen in starburst
galaxies. Coronal lines appear... | {'timestamp': '2005-09-07T17:03:32', 'yymm': '0509', 'arxiv_id': 'astro-ph/0509181', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/0509181'} | ArXiv |
\section{Introduction}
\label{sec1}
\IEEEPARstart{W}{ith} the development of the internet of vehicles (IoV) and cloud computing, caching technology facilitates various real-time vehicular applications for vehicular users (VUs), such as automatic navigation, pattern recognition and multimedia entertainment \cite{Liuchen... | {'timestamp': '2022-08-03T02:06:56', 'yymm': '2208', 'arxiv_id': '2208.01219', 'language': 'en', 'url': 'https://arxiv.org/abs/2208.01219'} | ArXiv |
\section{Introduction}
\subsubsection{Derandomized LWE.} The learning with errors (LWE) problem~\cite{Reg[05]} is at the basis of multiple cryptographic constructions~\cite{Peikert[16],Hamid[19]}. Informally, LWE requires solving a system of `approximate' linear modular equations. Given positive integers $w$ and $q \ge... | {'timestamp': '2022-05-03T02:41:24', 'yymm': '2205', 'arxiv_id': '2205.00861', 'language': 'en', 'url': 'https://arxiv.org/abs/2205.00861'} | ArXiv |
\section{Detailed investigations of event pairs showing marginal evidence of lensing}
\label{sec:appendix}
\begin{figure*}[tbh]
\includegraphics[width=0.8\linewidth]{Plots/gw170104_gw170814.pdf}
\caption{Marginalized 2D and 1D posterior distributions of the parameters that are included in the consistency test, for the... | {'timestamp': '2019-01-30T02:18:02', 'yymm': '1901', 'arxiv_id': '1901.02674', 'language': 'en', 'url': 'https://arxiv.org/abs/1901.02674'} | ArXiv |
\section{Introduction}
The study of high energy scattering near the horizon of a black hole has lead to an improved perspective on quantum chaos \cite{LO, Dray:1984ha, SS, KitaevTalks, MSS}. The scrambling of information near the horizon of the black hole is related to the chaotic spread of information on the boundary... | {'timestamp': '2019-04-18T02:20:05', 'yymm': '1901', 'arxiv_id': '1901.04360', 'language': 'en', 'url': 'https://arxiv.org/abs/1901.04360'} | ArXiv |
\section{Introduction and statement of results}\label{Sect1}
It is a classical Abelian theorem of Frobenius \cite{Frobenius} that for an arithmetic function $f:\mathbb N \to \mathbb C$ (for which we will set $f(0):=0$ in this study), if the limit of the average value
$L:=\lim_{N\to \infty}\ \frac{1}{N}\sum_{1\leq k... | {'timestamp': '2020-12-17T02:25:10', 'yymm': '2011', 'arxiv_id': '2011.08386', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.08386'} | ArXiv |
\section{Introduction}
When one is attempting to associate newly discovered meteoroid streams to their parent bodies, there are four critical steps that need to be carried out. The first is obviously the stream discovery through the search of databases and past records, which is ideally performed on meteor data compris... | {'timestamp': '2016-11-09T02:00:34', 'yymm': '1611', 'arxiv_id': '1611.02297', 'language': 'en', 'url': 'https://arxiv.org/abs/1611.02297'} | ArXiv |
\section{Introduction}
Competition between growth and fragmentation is a common phenomenon for a structured population. It arises for instance in a context of cell division (see, among many others, \cite{adimy, basse, Bekkal1, Bekkal2, Doumic, farkas, GW2, MetzDiekmann, PTou}), polymerization (see \cite{biben, destain... | {'timestamp': '2010-02-10T11:53:16', 'yymm': '0907', 'arxiv_id': '0907.5467', 'language': 'en', 'url': 'https://arxiv.org/abs/0907.5467'} | ArXiv |
\section*{Methods}
Samples were prepared based on a 15~nm SiGe/Si/SiGe quantum well grown in an ultrahigh-vacuum chemical-vapor-deposition (UHVCVD) apparatus.\cite{lu09,lu10} The Hall-bar samples with width 50~$\mu$m and the distance between potential probes 150~$\mu$m were patterned using standard photo-lithography... | {'timestamp': '2017-11-08T02:08:12', 'yymm': '1604', 'arxiv_id': '1604.08527', 'language': 'en', 'url': 'https://arxiv.org/abs/1604.08527'} | ArXiv |
\section{Introduction}
In longitudinal studies, measurements from the same individuals (units) are repeatedly taken over time. However, individuals may be lost to follow up or do not show up at some of the planned measurement occasions, leading to attrition (also referred to as \emph{dropout}) and intermittent missingn... | {'timestamp': '2017-07-10T02:06:57', 'yymm': '1707', 'arxiv_id': '1707.02182', 'language': 'en', 'url': 'https://arxiv.org/abs/1707.02182'} | ArXiv |
\section{Introduction}
\label{sec:intro}
This paper is devoted to the mathematical analysis of the following
class of parabolic systems:
\begin{align}\label{CH1}
& u_t - \Delta w = 0,\\
\label{CH2}
& w = \delta \Delta^2 u - a(u) \Delta u - \frac{a'(u)}2 |\nabla u|^2
+ f(u) + \epsi u_t,
\end{al... | {'timestamp': '2012-06-26T02:07:39', 'yymm': '1106', 'arxiv_id': '1106.1581', 'language': 'en', 'url': 'https://arxiv.org/abs/1106.1581'} | ArXiv |
\section{Introduction}
HERA is a prodigious source of quasi--real photons from reactions
where the electron is scattered at very small angles.
This permits the study of photoproduction reactions at photon--proton
centre of mass (c.m.) energies an order of magnitude larger than
in previous fixed target experiments.
The... | {'timestamp': '1996-03-17T07:32:41', 'yymm': '9503', 'arxiv_id': 'hep-ex/9503014', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-ex/9503014'} | ArXiv |
\section{Introduction}
The first report of a detection of \igr\ in the hard X-ray band is found in
the {\it INTEGRAL}/IBIS all-sky survey catalogues, which are based on data
taken before the end of 2006 \citep{krivonos07,bird07}. At that time, its
nature was unknown, other than it was a transient source, detected dur... | {'timestamp': '2013-11-14T02:06:54', 'yymm': '1311', 'arxiv_id': '1311.3093', 'language': 'en', 'url': 'https://arxiv.org/abs/1311.3093'} | ArXiv |
\section{Introduction}
If $C$ is a general curve of genus $g$, equipped with a general map
$f \colon C \to \pp^3$ of degree $d$,
it is natural to ask
whether the intersection $f(C) \cap Q$
of its image with a general quadric $Q$
is a general collection of $2d$ points on $Q$.
Interest in this question historically deve... | {'timestamp': '2017-08-04T02:03:16', 'yymm': '1605', 'arxiv_id': '1605.06185', 'language': 'en', 'url': 'https://arxiv.org/abs/1605.06185'} | ArXiv |
\section{Introduction}
In this paper, we further develop a technique from \cite{RY} and apply it to study the Kobayashi Conjecture, $0$-cycles on hypersurfaces of general type, and Seshadri constants of very general hypersurfaces. The idea of the technique is to translate results about very general points on very gener... | {'timestamp': '2018-06-08T02:00:42', 'yymm': '1806', 'arxiv_id': '1806.02364', 'language': 'en', 'url': 'https://arxiv.org/abs/1806.02364'} | ArXiv |
\section{Introduction}
Periodic comet 12P/Pons-Brooks was discovered by J. L. Pons on 1812 July 21 from Marseille, France; the comet was followed during that apparition until September 28. It was re-discovered by W. R. Brooks on 1883 September 2 from Phelps, NY, USA, and followed until 1884 June 2; during that appar... | {'timestamp': '2021-01-01T02:35:30', 'yymm': '2012', 'arxiv_id': '2012.15583', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.15583'} | ArXiv |
\section{Preliminary and basic results}
\par\medskip
\par\medskip
We begin this section by recalling the definition and notation
about $C^*$-algebraic bundles.
First of all, we refer the reader to [7, VIII.2.2] for the notion
of Banach algebraic bundle $\cal B$ over a locally compact group $G$.
Let $B$ be the bundl... | {'timestamp': '1999-06-11T11:20:49', 'yymm': '9906', 'arxiv_id': 'math/9906070', 'language': 'en', 'url': 'https://arxiv.org/abs/math/9906070'} | ArXiv |
\section{Introduction}
Online harassment is pervasive in regions around the world. Users post hate speech that demeans and degrades people based on their gender, race, sexual identity, or position in society \cite{blackwell2017classification,lenhart2016online}; users post insults and spread rumors, disproportionately ... | {'timestamp': '2023-01-30T02:12:29', 'yymm': '2301', 'arxiv_id': '2301.11715', 'language': 'en', 'url': 'https://arxiv.org/abs/2301.11715'} | ArXiv |
\section{Introduction}
Although existing observations of the large scale structure of the
Universe overwhelmingly favour cold dark matter cosmologies with
hierarchical structure formation, the paradigm faces challenges both
from the existence of luminous passive galaxies at high redshift, and
the abundance of low-mass... | {'timestamp': '2010-02-23T22:05:34', 'yymm': '1002', 'arxiv_id': '1002.4414', 'language': 'en', 'url': 'https://arxiv.org/abs/1002.4414'} | ArXiv |
\section{Introduction}
\section{General Assumptions}
Motivated by \cite{Tramontana2015L} , we consider a market served by firms with heterogeneous decision mechanisms producing homogeneous products. We use $q_i(t)$ to denote the output of firm $i$ at period $t$. The cost function of firm $i$ is supposed to be quadr... | {'timestamp': '2021-12-30T02:00:09', 'yymm': '2112', 'arxiv_id': '2112.13844', 'language': 'en', 'url': 'https://arxiv.org/abs/2112.13844'} | ArXiv |
Abstract: We perform a detailed theoretical study of the edge fracture instability, which commonly destabilises the fluid-air interface during strong shear flows of entangled polymeric fluids, leading to unreliable rheological measurements. By means of direct nonlinear simulations, we map out phase diagrams showing the... | {'timestamp': '2019-04-20T08:17:57Z', 'url': 'https://arxiv.org/abs/1903.02037', 'language': 'en', 'source': 'c4'} | ArXiv |
\section{Introduction}
At the meeting of the American Mathematical Society in Hayward, California, in April 1977, Olga Taussky-Todd \cite{TausskyTodd} asked whether one could characterize the values of the group determinant when the entries are all integers.
For a prime $p,$ a complete description was obtained for ... | {'timestamp': '2023-02-24T02:03:13', 'yymm': '2302', 'arxiv_id': '2302.11688', 'language': 'en', 'url': 'https://arxiv.org/abs/2302.11688'} | ArXiv |
\section{Introduction and Motivation}
\subsection{Starburst Regions}
The study of individual luminous stars and stellar populations in nearby giant H\,{\sc ii} regions is a prerequisite to understanding the starburst phenomenon and interpreting the observations of distant starburst galaxies and those containing s... | {'timestamp': '2013-02-28T02:00:40', 'yymm': '1302', 'arxiv_id': '1302.6631', 'language': 'en', 'url': 'https://arxiv.org/abs/1302.6631'} | ArXiv |
\section{Introduction}
\label{sec_intro}
The Universe contains prominent structures up to $\sim 100\,{\rm Mpc}$, only
reaching homogeneity on much large scales \citep[e.g.][]{Peebles1980,Davis1985}.
The properties of galaxies and other objects, which form and evolve in
the cosmic web, are expected to be affected by t... | {'timestamp': '2018-09-05T02:18:10', 'yymm': '1809', 'arxiv_id': '1809.00523', 'language': 'en', 'url': 'https://arxiv.org/abs/1809.00523'} | ArXiv |
\section{Introduction}
Many pieces of evidence support the existence of dark matter in the universe. One of the most attracting candidates is weakly interacting massive particles (WIMPs). Three methods can be used to search for WIMPs: direct, indirect and collider experiments. Direct detection aims to catch the signal ... | {'timestamp': '2019-07-31T02:06:52', 'yymm': '1907', 'arxiv_id': '1907.12729', 'language': 'en', 'url': 'https://arxiv.org/abs/1907.12729'} | ArXiv |
\section{Introduction}
The problem of designing robust deterministic Model Predictive Control (MPC) schemes, has nowadays many solutions, see for example \cite{MagniBook07,rawbook,LimonEtAl-NMPC09}. However, the proposed approaches are in general computationally very demanding, since they either require the solution to... | {'timestamp': '2014-08-29T02:13:28', 'yymm': '1408', 'arxiv_id': '1408.6723', 'language': 'en', 'url': 'https://arxiv.org/abs/1408.6723'} | ArXiv |
\section{Introduction}
Fix $n\in \mathbb{N}$. The input of the {\em Sparsest Cut Problem} consists of two $n$ by $n$ symmetric matrices with nonnegative entries $C=(C_{ij}),D=(D_{ij})\in M_n([0,\infty))$, which are commonly called capacities and demands, respectively. The goal is to design a polynomial-time algorit... | {'timestamp': '2017-04-06T02:01:31', 'yymm': '1704', 'arxiv_id': '1704.01200', 'language': 'en', 'url': 'https://arxiv.org/abs/1704.01200'} | ArXiv |
\section{Introduction}
X-ray emission from the hot coronae of photospherically cool stars
arises from magnetically confined and heated plasma with temperatures
in excess of $10^{6}$\,K (see the review by G\"udel 2004). X-ray
observations of cool stars with convective envelopes
have long since shown that X-ray activi... | {'timestamp': '2010-10-12T02:04:09', 'yymm': '1010', 'arxiv_id': '1010.2152', 'language': 'en', 'url': 'https://arxiv.org/abs/1010.2152'} | ArXiv |
\section{\hspace{5mm}Figures: Numerical simulations}
\vspace*{\fill}
\bild{simu1yx}
{Nearly ideal {\it transversal\/} quantized {\sc Hall} resistance
(without spin degeneracy)
down to filling factor $\nu=1$.
(Computer simulation based on a phenomenological
formula averaging over $N>5... | {'timestamp': '2000-02-09T06:35:44', 'yymm': '9805', 'arxiv_id': 'cond-mat/9805313', 'language': 'en', 'url': 'https://arxiv.org/abs/cond-mat/9805313'} | ArXiv |
\subsection{Room specific prompt creation}
\label{ap: prompt}
When building the room type codebook, we create prompts by filling the following template.
\begin{align*}
\text{A [room type] with [obj 1], ... and [obj n]}.
\end{align*}
where [room type] is a room label annotated in Matterport3D dataset~\cite{Matterpor... | {'timestamp': '2022-12-05T02:14:53', 'yymm': '2212', 'arxiv_id': '2212.00171', 'language': 'en', 'url': 'https://arxiv.org/abs/2212.00171'} | ArXiv |
\section{Introduction}
An origin of cosmological baryon asymmetry is one of
the prime open questions in particle physics as well as in cosmology.
Among various mechanisms of baryogenesis,
leptogenesis~\cite{FukugitaYanagida}
is one of the most attractive idea because of its simplicity and
the connectio... | {'timestamp': '2011-02-15T02:04:49', 'yymm': '1102', 'arxiv_id': '1102.2889', 'language': 'en', 'url': 'https://arxiv.org/abs/1102.2889'} | ArXiv |
\section{Introduction}
Einstein manifolds are related with many questions in geometry and physics, for instance: Riemannian functionals and their critical points, Yang-Mills theory, self-dual manifolds of dimension four, exact solutions for the Einstein equation field. Today we already have in our hands many examples... | {'timestamp': '2017-08-17T02:02:17', 'yymm': '1708', 'arxiv_id': '1708.04720', 'language': 'en', 'url': 'https://arxiv.org/abs/1708.04720'} | ArXiv |
\section{Introduction}
Entanglement, as measured by, {\em e.g.}, bipartite block entanglement entropy, is
playing an increasingly important role in the study of
condensed-matter or quantum many-body physics, both conceptually and
quantitatively. It has been used as a very useful and in
some cases indispensable way to... | {'timestamp': '2009-07-31T21:03:14', 'yymm': '0906', 'arxiv_id': '0906.0016', 'language': 'en', 'url': 'https://arxiv.org/abs/0906.0016'} | ArXiv |
\section{Introduction}
Wave turbulence is observed in the interaction of nonlinear dispersive waves in many physical processes, see the review \cite{newell} and references therein. Zakharov and Filonenko \cite{Zakh} proposed a theory of weak turbulence of capillary waves on the surface of a liquid. According to which, ... | {'timestamp': '2020-02-21T02:11:48', 'yymm': '2002', 'arxiv_id': '2002.08698', 'language': 'en', 'url': 'https://arxiv.org/abs/2002.08698'} | ArXiv |
\section{Semiclassics}
Here we include back-scattering processes in the derivation of Eq.~(16) in the main text for the local density of states at large frequency, $\omega\gg\omega_\star$; we find that it only modifies the expression~(17) for $\omega_\text{cr}$ (the factor $\sqrt{3}$ would be replaced with $\sqrt{2}$... | {'timestamp': '2019-01-08T02:13:12', 'yymm': '1901', 'arxiv_id': '1901.01515', 'language': 'en', 'url': 'https://arxiv.org/abs/1901.01515'} | ArXiv |
\section{Introduction}
Among the most promising approaches to address the issue of global optimization
of an unknown function under reasonable smoothness assumptions
comes from extensions of the multi-armed bandit setup.
\cite{Bubeck2009} highlighted the connection between cumulative regret
and simple regret which faci... | {'timestamp': '2016-02-17T02:08:26', 'yymm': '1602', 'arxiv_id': '1602.04976', 'language': 'en', 'url': 'https://arxiv.org/abs/1602.04976'} | ArXiv |
\section{Introduction}
A drawing of a graph $G$ in the plane is a mapping, in which every vertex of $G$ is mapped into a point in the plane, and every edge into a continuous curve connecting the images of its endpoints.
We assume that no three curves meet at the same point, and no curve contains an image of any verte... | {'timestamp': '2010-12-02T02:02:31', 'yymm': '1012', 'arxiv_id': '1012.0255', 'language': 'en', 'url': 'https://arxiv.org/abs/1012.0255'} | ArXiv |
\section{Introduction}
Hadronic decays of $D$ mesons provide important information to understand the
weak and strong interactions in the charm sector. Various experiments have measured the branching fractions of
hadronic decays of $D$ mesons~\cite{pdg2014}. However, the measurement accuracy of the Cabibbo-favored (CF... | {'timestamp': '2019-01-01T02:12:47', 'yymm': '1809', 'arxiv_id': '1809.03750', 'language': 'en', 'url': 'https://arxiv.org/abs/1809.03750'} | ArXiv |
\section{Abstract}
Quantum entanglement, one of the most counterintuitive effects in quantum mechanics \cite{Einstein35}, plays an essential role in quantum information and communication technology.
Thus far, many efforts have been taken to create multipartite entanglement in photon polarization \cite{Walther2... | {'timestamp': '2011-11-29T02:01:07', 'yymm': '1111', 'arxiv_id': '1111.6170', 'language': 'en', 'url': 'https://arxiv.org/abs/1111.6170'} | ArXiv |
\section{Approach}
\label{sec:approach}
We elaborate our approach to the query-focused video summarization in this section. Denote by ${\cal V} = \{{\cal V}_t\}_{t=1}^T$ a video that is partitioned to $T$ segments, and by $q$ the query about the video. In our experiments, every segment ${\cal V}_t$ consists of $10$ vi... | {'timestamp': '2017-07-18T02:07:49', 'yymm': '1707', 'arxiv_id': '1707.04960', 'language': 'en', 'url': 'https://arxiv.org/abs/1707.04960'} | ArXiv |
\section{Introduction}
\noindent This is the first of three papers that develop and use structures which are counted by a ``parabolic'' generalization of the Catalan numbers. Apart from some motivating remarks, it can be read by anyone interested in tableaux. It is self-contained, except for a few references to ... | {'timestamp': '2018-07-19T02:10:24', 'yymm': '1706', 'arxiv_id': '1706.03094', 'language': 'en', 'url': 'https://arxiv.org/abs/1706.03094'} | ArXiv |
\section{Introduction}
De Sitter (dS) spacetime is among the most popular backgrounds in
gravitational physics. There are several reasons for this. First of all dS
spacetime is the maximally symmetric solution of Einstein's equation with a
positive cosmological constant. Due to the high symmetry numerous physical
prob... | {'timestamp': '2008-02-15T13:43:50', 'yymm': '0802', 'arxiv_id': '0802.2190', 'language': 'en', 'url': 'https://arxiv.org/abs/0802.2190'} | ArXiv |
\section{Introduction}\label{sec:intro}
Very metal-poor stars (hereafter, VMP stars, with [Fe/H] $\le
-2.0$)\footnote{[A/B] = $\log(N_{\rm A}/N_{\rm B})- \log(N_{\rm
A}/N_{\rm B})_{\odot}$, and $\log \epsilon_{\rm A} = \log(N_{\rm
A}/N_{\rm H})+12$ for elements A and B.} belonging to the halo
population of the Gala... | {'timestamp': '2005-06-19T03:50:34', 'yymm': '0503', 'arxiv_id': 'astro-ph/0503032', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/0503032'} | ArXiv |
\section{Introduction}
At its core, general relativity is a theory of gravity phrased operationally in terms of measurements of distances and time using classical rulers and clocks. Quantizing these notions has been a major problem of theoretical physics for the past century and, as of today, there is still no comple... | {'timestamp': '2022-02-24T02:00:18', 'yymm': '2202', 'arxiv_id': '2202.11108', 'language': 'en', 'url': 'https://arxiv.org/abs/2202.11108'} | ArXiv |
\section{Decoupling methods}
\label{decoupling_methods}
Even though Problem \ref{semi_discrete_problem} is discretized in time, it is still coupled across the interface. That makes solving the subproblems independently impossible. To deal with this obstacle, we chose to use an iterative approach on each of the subinter... | {'timestamp': '2020-07-13T02:12:09', 'yymm': '2007', 'arxiv_id': '2007.05372', 'language': 'en', 'url': 'https://arxiv.org/abs/2007.05372'} | ArXiv |
\section{Introduction}
Westerlund (1961) discovered that the 41day Cepheid RS Pup was surrounded
by a remarkable nebulosity. This is in the shape of rudimentary rings but
with much distorted structure and condensations. Havlen (1972) showed that
portions of the nebulosity varied in the period of the Cepheid but with
wi... | {'timestamp': '2008-04-01T09:28:29', 'yymm': '0804', 'arxiv_id': '0804.0092', 'language': 'en', 'url': 'https://arxiv.org/abs/0804.0092'} | ArXiv |
\section{Introduction}
\IEEEPARstart{T}{erahertz} (THz) and millimeter-wave (mmWave) are the key technologies for beyond 5G and next generation (6G) wireless communications, which can enable ultra-high data-rate communications and improve date security \cite{mmwaveSurvey,NatureShuping}.
However, the severe propagati... | {'timestamp': '2020-05-28T02:20:30', 'yymm': '2005', 'arxiv_id': '2005.13451', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.13451'} | ArXiv |
\section{Introduction}
\label{intro}
Prime factorization is a problem in the complexity class NP of problems that can be solved in
polynomial time by a nondeterministic machine. Indeed, the prime factors can be verified
efficiently by multiplication.
At present, it is not known if the problem has polynomial com... | {'timestamp': '2022-09-26T02:14:26', 'yymm': '2209', 'arxiv_id': '2209.11650', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.11650'} | ArXiv |
\section{Introduction}
Four-dimensional $SU(N)$ gauge theory at zero temperature is known to be
in a confining phase for all values of the bare coupling.
A very large amount of work has been performed over the last decade
in an effort to isolate the types of configurations in the
functional measure responsible
... | {'timestamp': '2007-07-15T20:37:41', 'yymm': '0707', 'arxiv_id': '0707.2179', 'language': 'en', 'url': 'https://arxiv.org/abs/0707.2179'} | ArXiv |
\section{Introduction}
\label{sec:Intro}
The fractional quantum Hall effect (FQHE) at filling factor $\nu = 1/3$ in the lowest Landau level (LLL) was the first to be experimentally observed~\cite{Tsui82} and subsequently understood, as a result of Laughlin's trial wave function~\cite{Laughlin83}. The FQHE has since pr... | {'timestamp': '2020-11-25T02:25:14', 'yymm': '2011', 'arxiv_id': '2011.12195', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.12195'} | ArXiv |
\section{Introduction}
The problem of the cosmological constant, interpreted as a vacuum energy,
consists in that the vacuum energy obtained from the general relativity (GR)
equations is much smaller, then the vacuum energy obtained from the particle
theory (standard model). This discrepancy can be overcome if one cho... | {'timestamp': '2008-09-02T11:36:48', 'yymm': '0809', 'arxiv_id': '0809.0380', 'language': 'en', 'url': 'https://arxiv.org/abs/0809.0380'} | ArXiv |
\section{Introduction}
The unexpected accelerated expansion of the universe as predicted by recent series of observations is speculated by cosmologist as a smooth transition from decelerated era in recent past \cite{Riess:1998cb,Perlmutter:1998np,Spergel:2003cb,Allen:2004cd,Riess:2004nr}. The cosmologists are divided ... | {'timestamp': '2020-11-20T02:16:16', 'yymm': '2011', 'arxiv_id': '2011.09842', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.09842'} | ArXiv |
\section{Introduction}
In a cold dark matter (CDM) universe, dark matter haloes form hierarchically through accretion and merging(for a recent review, see \citet{Frenk2012}).
Many rigorous and reliable predictions for the halo mass function and subhalo mass functions in CDM are provided by numerical simulations\citep... | {'timestamp': '2016-03-16T01:08:32', 'yymm': '1507', 'arxiv_id': '1507.01464', 'language': 'en', 'url': 'https://arxiv.org/abs/1507.01464'} | ArXiv |
\section{Introduction}
\label{Intro}
Over the last two decades, data representation has evolved significantly. Several data types are used from different receiving sources, such as machine log data\footnote{Machine log data is machine-generated data like event logs, server data, and application logs.} and social media,... | {'timestamp': '2022-05-06T02:16:52', 'yymm': '2205', 'arxiv_id': '2205.02572', 'language': 'en', 'url': 'https://arxiv.org/abs/2205.02572'} | ArXiv |
\section{Boundary ribbon operators with $\Xi(R,K)^\star$}\label{app:ribbon_ops}
\begin{definition}\rm\label{def:Y_ribbon}
Let $\xi$ be a ribbon, $r \in R$ and $k \in K$. Then $Y^{r \otimes \delta_k}_{\xi}$ acts on a direct triangle $\tau$ as
\[\tikzfig{Y_action_direct},\]
and on a dual triangle $\tau^*$ as
\[\tikzfig{... | {'timestamp': '2022-08-15T02:13:04', 'yymm': '2208', 'arxiv_id': '2208.06317', 'language': 'en', 'url': 'https://arxiv.org/abs/2208.06317'} | ArXiv |
\section{Finite transverse field}
\label{transverse}
In this section, we investigate the effects that a finite transverse field has on the validity of the effective XX model
\begin{equation}
H = \sum_{i < j } J_{ij} (1/2+s_i^z) (1/2+s_j^z) + B \sum_i s_i^x.
\end{equation}
Note that aside from the desired interactions,... | {'timestamp': '2022-08-04T02:10:35', 'yymm': '2208', 'arxiv_id': '2208.01869', 'language': 'en', 'url': 'https://arxiv.org/abs/2208.01869'} | ArXiv |
\section{Introduction}\label{sec:intro}
Historically, humans have performed inconsistently in judgemental forecasting \cite{Makridakis2010,TetlockExp2017}, which incorporates subjective opinion and probability estimates to predictions \cite{Lawrence2006}. Yet, human judgement remains essential in cases where pure sta... | {'timestamp': '2022-05-25T02:01:58', 'yymm': '2205', 'arxiv_id': '2205.11590', 'language': 'en', 'url': 'https://arxiv.org/abs/2205.11590'} | ArXiv |
\section{Introduction}
\label{sec:0}
White dwarf binaries are thought to be the most common binaries in the
Universe, and in our Galaxy their number is estimated to be as high as 10$^8$.
In addition most stars are known to be part of binary systems, roughly half
of which have orbital periods short enough that the ev... | {'timestamp': '2010-03-16T01:00:09', 'yymm': '1003', 'arxiv_id': '1003.2636', 'language': 'en', 'url': 'https://arxiv.org/abs/1003.2636'} | ArXiv |
\section{Introduction and notation}
Let us first make some remarks concerning notation. $\alpha ,$ $\beta ,$
\ldots $ will denote positive measures on the real line. We will assume that
all of these measures have infinite supports. In order to be able to use
sometimes probabilistic notation we will assume that al... | {'timestamp': '2014-02-21T02:03:45', 'yymm': '1303', 'arxiv_id': '1303.0627', 'language': 'en', 'url': 'https://arxiv.org/abs/1303.0627'} | ArXiv |
\section{Introduction}
Helicoidal surfaces in $3$-dimensional space forms arise as a natural
generalization of rotational surfaces in such spaces. These surfaces
are invariant by a subgroup of the group of isometries of the ambient
space, called helicoidal group, whose elements can be seen
as a composition of a transl... | {'timestamp': '2016-01-20T02:09:06', 'yymm': '1601', 'arxiv_id': '1601.04930', 'language': 'en', 'url': 'https://arxiv.org/abs/1601.04930'} | ArXiv |
\section{Introduction}
The Regularity lemma of Szemer\'edi \cite{Sz} has proved to be a
very useful tool in graph theory. It was initially developed as an
auxiliary lemma to prove a long standing conjecture of Erd\H{o}s and
Tur\'{a}n\cite{ET} on arithmetic progressions, which stated that
sequences of integers with pos... | {'timestamp': '2012-10-01T02:02:27', 'yymm': '1209', 'arxiv_id': '1209.6540', 'language': 'en', 'url': 'https://arxiv.org/abs/1209.6540'} | ArXiv |
\section{Introduction} \label{intro}
According to the Standard Model of particle physics and to some of its extensions, spontaneous symmetry breaking and phase transitions constitute a crucial aspect for the early evolution of the universe.
When the temperature starts decreasing because of the expansion of the unive... | {'timestamp': '2022-03-10T02:31:55', 'yymm': '2203', 'arxiv_id': '2203.04942', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.04942'} | ArXiv |
\section{#1}\setcounter{equation}{0}\setcounter{theorem}{0}}
\newcommand{\hfill\nonumber}{\hfill\nonumber}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{definition}[theorem]{Definition} \the... | {'timestamp': '2012-09-28T02:00:54', 'yymm': '1209', 'arxiv_id': '1209.6077', 'language': 'en', 'url': 'https://arxiv.org/abs/1209.6077'} | ArXiv |
\section{Introduction}
Given a data set and a model with some unknown parameters, the inverse problem aims to find the values of the model parameters that best fit the data.
In this work, in which we focus on systems of interacting elements,
the inverse problem concerns the statistical inference
of the underling i... | {'timestamp': '2016-03-24T01:11:16', 'yymm': '1603', 'arxiv_id': '1603.05101', 'language': 'en', 'url': 'https://arxiv.org/abs/1603.05101'} | ArXiv |
\section{Introduction}
Instrumental variable methods are powerful tools for causal inference with unmeasured treatment-outcome confounding.
\citet{angrist1996identification} use potential outcomes to clarify the role of a binary instrumental variable in identifying causal effects. They show that the classic two-stage ... | {'timestamp': '2019-06-06T02:16:11', 'yymm': '1906', 'arxiv_id': '1906.02030', 'language': 'en', 'url': 'https://arxiv.org/abs/1906.02030'} | ArXiv |
\section{Introduction}
The transition between the microscopic and macroscopic worlds is a
fundamental issue in quantum theory both from the point of view of
foundations of physics and of the application to quantum computation \cite{giulini,zurek}.
Spontaneous symmetry breaking (SSB) indicates a situation where,... | {'timestamp': '2010-10-19T02:05:14', 'yymm': '1010', 'arxiv_id': '1010.3584', 'language': 'en', 'url': 'https://arxiv.org/abs/1010.3584'} | ArXiv |
\section{Introduction}\label{sec:Introduction}
Toward the sixth generation of wireless networks (6G), a number of exciting applications will benefit from sensing services provided by future perceptive networks, where sensing capabilities are integrated in the communication network. Once the communication network inf... | {'timestamp': '2023-02-22T02:15:23', 'yymm': '2302', 'arxiv_id': '2302.10673', 'language': 'en', 'url': 'https://arxiv.org/abs/2302.10673'} | ArXiv |
\section{Parties positives d'un r\'eseau\label{section positive}}
\medskip
Le but de cette section est d'\'etudier l'ensemble des parties positives
de $\Lambda$. Nous munirons cet ensemble d'une topologie dans la section suivante.
\def{\mathrm{tor}}{{\mathrm{tor}}}
\bigskip
\subsection{D\'efinitions, pr\'elimina... | {'timestamp': '2008-08-26T16:41:27', 'yymm': '0808', 'arxiv_id': '0808.3518', 'language': 'fr', 'url': 'https://arxiv.org/abs/0808.3518'} | ArXiv |
\section{Introduction}\label{sec:intro}
The stability condition of a vacuum is one of the important constraints on viable models of particle physics.
Even in the standard model, it gives a nontrivial constraint on the Higgs boson mass and the top quark mass \cite{Degrassi:2012ry}.
Furthermore, physics beyond the standa... | {'timestamp': '2018-03-06T02:06:17', 'yymm': '1707', 'arxiv_id': '1707.01099', 'language': 'en', 'url': 'https://arxiv.org/abs/1707.01099'} | ArXiv |
\section{Introduction}
The Laser Interferometer Gravitational-Wave Observatory (LIGO) and Virgo have
detected six sources of GWs as of writing this article
\citep{abbott16a,abbott16b,abbott17,abbott17a,abbott17b,abbott17c}. All of them
but one, GW170817, last reference, correspond to a system of BHB. Typically,
the ma... | {'timestamp': '2018-11-28T02:00:29', 'yymm': '1811', 'arxiv_id': '1811.10628', 'language': 'en', 'url': 'https://arxiv.org/abs/1811.10628'} | ArXiv |
\section{Introduction}
We study output trajectory tracking for a class of nonlinear reaction diffusion equations such that a prescribed performance of the tracking error is achieved. To this end, we utilize the method of funnel control which was developed in~\cite{IlchRyan02b}, see also the survey~\cite{IlchRyan08}. ... | {'timestamp': '2019-12-05T02:11:10', 'yymm': '1912', 'arxiv_id': '1912.01847', 'language': 'en', 'url': 'https://arxiv.org/abs/1912.01847'} | ArXiv |
\section{#1}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newcommand{\begin{equation}}{\begin{equation}}
\newcommand{\end{equation}}{\end{equation}}
\newcommand{\begin{eqnarray}}{\begin{eqnarray}}
\newcommand{\end{eqnarray}}{\end{eqnarray}}
\newcommand{\nonumber}{\nonumber}
\newcommand{\underline{1}}{\u... | {'timestamp': '2007-07-16T06:29:49', 'yymm': '0601', 'arxiv_id': 'hep-th/0601177', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-th/0601177'} | ArXiv |
\section{Introduction}
\label{sec:intro}
Rank data arise naturally in many fields, such as web searching \citep{renda2003web}, design of recommendation systems \citep{baltrunas2010group} and genomics \citep{BADER20111099}. Many probabilistic models have been proposed for analyzing this type of data, among which the Th... | {'timestamp': '2021-04-16T02:09:38', 'yymm': '2104', 'arxiv_id': '2104.07261', 'language': 'en', 'url': 'https://arxiv.org/abs/2104.07261'} | ArXiv |
\section{Introduction}
Reaching consensus is an important construct in distributed
coordination of multi-agent systems \cite{mesbahi2010graph,olfati2007consensus,zhang2018fully,degroot1974reaching}.
Although the consensus problem has been extensively investigated in the literature,
it has often been assumed that the n... | {'timestamp': '2020-01-31T02:05:36', 'yymm': '2001', 'arxiv_id': '2001.11179', 'language': 'en', 'url': 'https://arxiv.org/abs/2001.11179'} | ArXiv |
\section{INTRODUCTION}
\begin{figure}
\centering
\includegraphics[scale=0.5]{Figure1.jpg}
\caption{An image of a truncated magnetoelastic membrane in a precessing magnetic field. The degree of truncation $S=h/2R$, where $h$ is the sagitta length of the removed circular segment, and $R$ is the membrane radius, determine... | {'timestamp': '2021-12-08T02:25:42', 'yymm': '2112', 'arxiv_id': '2112.03209', 'language': 'en', 'url': 'https://arxiv.org/abs/2112.03209'} | ArXiv |
\section{Introduction}
\label{sec:Introduction}
Massive, young stars are sites of nucleosynthesis, not just of the stable nuclides, but radioactive isotopes as well. Long-lived radioisotopes with decay times of billions of years or longer, such as $^{40}$K, mix into the interstellar medium (ISM), accumulating and pro... | {'timestamp': '2014-05-06T02:05:11', 'yymm': '1204', 'arxiv_id': '1204.2584', 'language': 'en', 'url': 'https://arxiv.org/abs/1204.2584'} | ArXiv |
\section{Introduction}
Restoring forces play a very fundamental role in the study of vibrations of
mechanical systems. If a system is moved from its equilibrium position, a
restoring force will tend to bring the system back toward equilibrium. For
decades, if not centuries, springs have been used as the most common ex... | {'timestamp': '2011-01-05T02:02:14', 'yymm': '1005', 'arxiv_id': '1005.4983', 'language': 'en', 'url': 'https://arxiv.org/abs/1005.4983'} | ArXiv |
\section*{Acknowledgments}
The authors would like to thank Andreas Winter for invaluable discussions on the problem of enumerating the extremal rays of polyhedral convex cones. This work was supported by NSF CAREER award CCF 1652560.
| {'timestamp': '2019-04-23T02:04:11', 'yymm': '1811', 'arxiv_id': '1811.08000', 'language': 'en', 'url': 'https://arxiv.org/abs/1811.08000'} | ArXiv |
\section{Introduction}
With the continuous development of mobile communication technology and the rapid development of mobile Internet, mobile terminals represented by smart phones, tablet computers, laptop, and smart assistants have been widely used. But the mobile terminal receives limiting factors such as volume, we... | {'timestamp': '2021-10-04T02:21:09', 'yymm': '2110', 'arxiv_id': '2110.00424', 'language': 'en', 'url': 'https://arxiv.org/abs/2110.00424'} | ArXiv |
\section{Introduction}
The purpose of this paper is to present an introduction to the subject
of the $Z_N$ symmetry\cite{zn} which is present in the study of $SU_N$ Gauge
Theories at finite temperature. I begin with a brief review of the Euclidean
Path Integral formulation of pure $SU_N$ Gauge Theories (without
fermion... | {'timestamp': '1993-11-05T19:24:53', 'yymm': '9311', 'arxiv_id': 'hep-ph/9311233', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-ph/9311233'} | ArXiv |
\section{Introduction}
\label{sec:intro}
A major open question in the study of exoplanets is the origin of their apparent
obliquity properties---the distribution of the angle $\lambda$ between the
stellar spin and the planet's orbital angular momentum vectors as projected on
the sky (see, e.g., the review by \citeal... | {'timestamp': '2016-12-07T02:10:22', 'yymm': '1612', 'arxiv_id': '1612.01985', 'language': 'en', 'url': 'https://arxiv.org/abs/1612.01985'} | ArXiv |
\section{Introduction}
\label{sec-intr}
The evolution of an actual system is likely to depend
not only on the present state but also on the historical state.
Motivated by it, differential equations with delays have been widely studied.
Compared with differential equations without delays,
an interesting problem is... | {'timestamp': '2021-03-30T02:13:24', 'yymm': '1911', 'arxiv_id': '1911.07385', 'language': 'en', 'url': 'https://arxiv.org/abs/1911.07385'} | ArXiv |
\section{{FedAGM}}
\label{sec:method}
This section first describes FedAGM algorithm and discuss how it solves the problem of client heterogeneity. Then we show that FedAGM is desirable for the real-world federated learning settings.
\subsection{{Acceleration of global momentum}}
To reduce the gap between the local... | {'timestamp': '2022-01-11T02:28:39', 'yymm': '2201', 'arxiv_id': '2201.03172', 'language': 'en', 'url': 'https://arxiv.org/abs/2201.03172'} | ArXiv |
Abstract: In my PhD thesis I studied cooperative phenomena arise in complex systems using the methods of statistical and computational physics. The aim of my work was also to study the critical behaviour of interacting many-body systems during their phase transitions and describe their universal features analytically a... | {'timestamp': '2019-04-25T08:57:29Z', 'url': 'https://arxiv.org/abs/0907.3858', 'language': 'en', 'source': 'c4'} | ArXiv |
\section{Introduction}
In \cite{lodha2016nonamenable}, Lodha and Moore introduced the group $G_0$ consisting of piecewise projective homeomorphisms of the real projective line.
This group is a finitely presented torsion free counterexample to the von Neumann-Day problem \cite{Neumann1929, day1950means}, which asks whe... | {'timestamp': '2022-04-19T02:40:14', 'yymm': '2204', 'arxiv_id': '2204.08230', 'language': 'en', 'url': 'https://arxiv.org/abs/2204.08230'} | ArXiv |
\section{Introduction}
One of the fundamental ingredients in the theory of non-commutative or
quantum geometry is the notion of a differential calculus.
In the framework of quantum groups the natural notion
is that of a
bicovariant differential calculus as introduced by Woronowicz
\cite{Wor_calculi}. Due to the allowa... | {'timestamp': '1998-07-19T14:33:52', 'yymm': '9807', 'arxiv_id': 'math/9807097', 'language': 'en', 'url': 'https://arxiv.org/abs/math/9807097'} | ArXiv |
\section{Introduction}
The galaxy luminosity function (hereafter, LF) represents the number density of galaxies of a given luminosity. It is a robust observable, extensively used in the past, to study the properties of galaxy populations \citep[e.g.][and references therein]{blanton2003}. The comparison between th... | {'timestamp': '2014-07-09T02:00:34', 'yymm': '1407', 'arxiv_id': '1407.1841', 'language': 'en', 'url': 'https://arxiv.org/abs/1407.1841'} | ArXiv |
\section{Background on Homomorphic Encryption}
\label{sec:HE}
{\em Homomorphic Encryption} schemes allow computations on encrypted data such that the decrypted results are equal to the result of a mathematical or logical operation applied to the corresponding plaintext data.
Therefore, calculations on encrypted ... | {'timestamp': '2020-10-16T02:22:30', 'yymm': '2009', 'arxiv_id': '2009.02122', 'language': 'en', 'url': 'https://arxiv.org/abs/2009.02122'} | ArXiv |
\section{Introduction}
Solar prominences or filaments are cool and dense plasmas embedded in the million-Kelvin corona \citep{mac10}.
The plasmas originate from the direct injection of chromospheric materials into a preexisting filament channel,
levitation of chromospheric mass into the corona, or condensation of hot p... | {'timestamp': '2015-03-11T01:08:57', 'yymm': '1503', 'arxiv_id': '1503.02933', 'language': 'en', 'url': 'https://arxiv.org/abs/1503.02933'} | ArXiv |
\section*{Abstract}
We show that the Backus (1962) equivalent-medium average, which is an average over a spatial variable, and the Gazis et al. (1963) effective-medium average, which is an average over a symmetry group, do not commute, in general.
They commute in special cases, which we exemplify.
\section{Introduction... | {'timestamp': '2016-01-13T02:11:39', 'yymm': '1601', 'arxiv_id': '1601.02969', 'language': 'en', 'url': 'https://arxiv.org/abs/1601.02969'} | ArXiv |
\section{Model}
We consider a collection of N three-level V-type atoms located at the same position. We label the ground state as $\ket{1}$ and the two excited states as $\ket{2}$ and $\ket{3}$, and the transition frequency from level j to i as $\omega_{ij}$. A weak drive field which is resonantly tuned to $\omega_{2... | {'timestamp': '2021-02-25T02:05:29', 'yymm': '2102', 'arxiv_id': '2102.11982', 'language': 'en', 'url': 'https://arxiv.org/abs/2102.11982'} | ArXiv |
\section{Conclusion $\&$ Future Work}
\vspace{-0.3cm}
In this work, we propose a novel co-motion pattern, a second-order local motion descriptor in order to detect whether the video is deep-faked. Our method is fully interpretable and pretty robust to slight variations such as video compression and noises. We have ach... | {'timestamp': '2020-08-12T02:18:56', 'yymm': '2008', 'arxiv_id': '2008.04848', 'language': 'en', 'url': 'https://arxiv.org/abs/2008.04848'} | ArXiv |
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