meta stringlengths 97 612 | red_pajama_subset stringclasses 4
values | prompt stringlengths 1 200 | answer stringlengths 0 518k |
|---|---|---|---|
{'timestamp': '2016-07-19T02:03:16', 'yymm': '1607', 'arxiv_id': '1607.04715', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04715'} | arxiv | \section{Introduction}
\setcounter{section}{1}\setcounter{equation}{0}
Lie conformal (super)algebras, originally introduced by Kac in \cite{K1,K2}, encode an axiomatic
description for the singular | part of the operator product expansion of chiral fields in
two-dimensional conformal field theory. They are very closely related to vertex algebras (cf. \cite{B,R}) by the same way as Lie algebras correspond to
their universal enveloping algebras. On the other hand, the theory of Lie conformal (super)algebras give u... |
{'timestamp': '2017-02-08T02:04:22', 'yymm': '1607', 'arxiv_id': '1607.04528', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04528'} | arxiv | \section{Introduction}\label{Introduction}
Equiangular tight frames (ETF) define regular geometrical structures in Hilbert spaces. An ETF composed of $N$ normalized vectors $\{\varphi_1,\dots,\varphi_ | N\}$ minimizes the highest possible coherence $\max_{j\neq k}|\langle\varphi_j|\varphi_k\rangle|$. These frames, which are also known as \emph{Grassmannian frames} \cite{SH03}, are thus typically related with optimal solutions of practical problems in communications, coding theory and sparse approximation \cite{JMF14,S... |
{'timestamp': '2016-07-19T02:08:59', 'yymm': '1607', 'arxiv_id': '1607.04918', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04918'} | arxiv | \section{Introduction}
The interest in studying rare $B$ decays is immense. This is due to the circumstance that
these decays, such as $b \to (s,d) \;\gamma, \; b \to (s,d ) \; \ell^+\ell^-$, are fl | avour-changing-neutral-current (FCNC) processes, involving the quantum number transitions $ | \Delta B |=1, |\Delta Q |=0$. In the SM \cite{Glashow:1961tr}, they are
not allowed at the tree level, but are induced by loops and are
governed by the GIM (Glashow-Iliopoulos-Maiani) mechanism \cite{Glashow:1970gm}, w... |
{'timestamp': '2016-08-15T02:06:56', 'yymm': '1607', 'arxiv_id': '1607.04830', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04830'} | arxiv | \section{Introduction}\label{sec:intro}
Topological complexity is a numerical homotopy invariant, introduced by Farber in the course of his topological study of the robot motion planning problem \cit | e{Far03, Far06}. For any space $X$, the number ${\sf TC}(X)$ is defined to be the sectional category of the free path fibration on $X$, and as such gives a quantitative measure of the complexity of navigation in $X$. Computation of ${\sf TC}(X)$ for a given space $X$ can be delicate, but is often achievable by combinin... |
{'timestamp': '2016-07-18T02:08:44', 'yymm': '1607', 'arxiv_id': '1607.04587', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04587'} | arxiv | \section{Introduction}
\label{sec:intro}
Most studies of spin glasses use a model of the
Edwards-Anderson~\cite{edwards:75} type in which the interactions are
short-range and have random sign. Howeve | r, it is argued that spin glass
behavior is more general and that the necessary ingredients are simply
\textit{randomness} and \textit{frustration}. Indeed an antiferromagnet on a
random graph (which has all interactions negative) is
found~\cite{krzakala:08a} to have spin glass behavior, in which
disorder and
frustrat... |
{'timestamp': '2017-07-25T02:08:58', 'yymm': '1607', 'arxiv_id': '1607.04681', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04681'} | arxiv | \section{Introduction}\label{intro}
A Carnot group (Definition \ref{Carnotdef}) is a simply connected Lie group whose Lie algebra admits a stratification. Carnot groups have translations, dilations, | Haar measure and points are connected by horizontal curves (Definition \ref{horizontalcurve}), which are used to define the Carnot-Carath\'eodory (CC) distance (Definition \ref{ccdistance}). With so much structure, the study of analysis and geometry in Carnot groups is an active and interesting research area \cite{BLU0... |
{'timestamp': '2018-04-02T02:03:51', 'yymm': '1607', 'arxiv_id': '1607.04818', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04818'} | arxiv | \section{Introduction}\label{sec:intro}\vspace{-0.2cm}
We study asynchronous parallel block-descent methods for the following class of nonconvex nonsmooth minimization problems: \vspace{-0.2cm}
\b | egin{equation}
\begin{array}{rl}
\underset{\mathbf{x}\triangleq (\mathbf{x}_1,\ldots, \mathbf{x}_N)}{\min} & F(\mathbf{x}) \triangleq f(\mathbf{x}) + \sum\limits_{i=1}^N g_i({\mathbf{x}}_i)\\[0.3em]
&\mathbf{x}_i \in \mathcal X_i, \qquad i = 1, \dots , N,
\end{array}\tag{P}\vspace{-0.1cm}
\label{eq:optimization_problem... |
{'timestamp': '2017-01-25T02:03:38', 'yymm': '1607', 'arxiv_id': '1607.04883', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04883'} | arxiv | \section{Introduction and Summary}
{}Industry classifications such as GICS, BICS, ICB, NAICS, SIC, etc.\footnote{\, Hereinafter we will refer to these as ``fundamental" industry classifications (see | below).} are widely used in quantitative trading. They group stocks into baskets, e.g., industries, i.e., based on some kind of a similarity criterion. On general grounds one then expects (or hopes) that stocks within such baskets on average should be relatively highly correlated. This is valuable information and can b... |
{'timestamp': '2016-08-16T02:09:35', 'yymm': '1607', 'arxiv_id': '1607.04699', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04699'} | arxiv | \section{Introduction and Statement of Results}
Let $f \in S_k(\Gamma_0(N),\chi)$ be a newform of weight $k$, level $N$, and nebentypus $\chi$. Associated to $f$ is an $L$-function $L(s, f)$, which c | an be normalized so that the completed $L$-function \begin{equation}
\Lambda(s, f) := N^{s/2} \int_0^\infty f(iy)y^{s-1} dy = \left(\frac{\sqrt{N}}{2\pi}\right)^s \Gamma(s) L(s, f)
\end{equation}
satisfies the functional equation \begin{equation} \label{fe} \Lambda(s, f) = \epsilon(f) \Lambda(k-s, \bar{f}) \end{equat... |
{'timestamp': '2016-07-18T02:07:44', 'yymm': '1607', 'arxiv_id': '1607.04538', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04538'} | arxiv | \section{Introduction}
The production of top-quark pairs plays a key role in the physics program of
the LHC. On the one hand, this process can be exploited
for detailed studies of top-quark propertie | s and interactions, for
precision tests of the Standard Model~(SM), and for measurements of
fundamental parameters such as the top-quark mass.
On the other hand, it represents a challenging background in many SM
studies and searches of physics beyond the Standard Model~(BSM).
The sensitivity of such analyses can depend... |
{'timestamp': '2017-01-31T02:09:50', 'yymm': '1607', 'arxiv_id': '1607.04673', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04673'} | arxiv | \section{Background}
\label{background}
\subsection{Notation}
Let $ I_t : \mathbb R^2\mapsto \mathbb R $ refer to an image captured at time $t$ treated as a function of real values using sub pixel | interpolation \cite{Dame10_mi_thesis} for non integral locations.
The patch corresponding to the tracked object's location in $ I_t $ is denoted by $\mathbf{I_t}(\mathbf{x_t}) \in \mathbb R^N $ where $\mathbf{x_t}=[\mathbf{x_{1t}},..., \mathbf{x_{Nt}}]$ with $\mathbf{x_{kt}}=[x_{kt}, y_{kt}]^T \in \mathbb R^2$ being... |
{'timestamp': '2016-07-19T02:09:12', 'yymm': '1607', 'arxiv_id': '1607.04923', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04923'} | arxiv | \section{Introduction}
In this paper, we study the boundary value problem of the fourth order curl operator of type
\begin{equation}\label{eq:bvpA}
{\bf(A)}\quad\left\{
\begin{array}{rl}
(\nabla\tim | es)^4\undertilde{u}=\undertilde{f},&\mbox{in}\ \Omega;
\\
\nabla\cdot\undertilde{u}=0 & \mbox{in}\ \Omega;
\\
\undertilde{u}\times\mathbf{n}=\undertilde{0},\ (\nabla\times \undertilde{u})\times \mathbf{n}=\undertilde{0} & \mbox{on}\ \partial\Omega,
\end{array}
\right.
\end{equation}
where ${\rm div}\undertilde{f}=0$, a... |
{'timestamp': '2016-07-19T02:06:04', 'yymm': '1607', 'arxiv_id': '1607.04819', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04819'} | arxiv | \section{introduction}
Communication for omniscience (CO) is a problem proposed in \cite{Csiszar2004}. It is assumed that there is a group of users in the system and each of them observes a compone | nt of a discrete memoryless multiple source in private. The users can exchange their information over lossless broadcast channels so as to attain \textit{omniscience}, the state that each user obtains the total information in the entire multiple source in the system. The CO problem in \cite{Csiszar2004} is based on an ... |
{'timestamp': '2016-07-19T02:00:18', 'yymm': '1607', 'arxiv_id': '1607.04647', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04647'} | arxiv | \section{\large Supplementary Information }
\section{Method and experimental setup}
The target WS$_2$ flake was identified with an optical microscope and then transferred to cover part of the long gr | aphene channel. To promote adhesion, the wafer was annealed in O$_2$ at $300\celsius$ for 3 hours. Standard electron-beam lithography and electron-beam evaporation were used to connect the graphene with multiple $80 \rm{nm}$ thick Au electrodes. The electrodes allow independent four-terminal resistivity measurements in... |
{'timestamp': '2016-12-07T02:05:03', 'yymm': '1607', 'arxiv_id': '1607.04602', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04602'} | arxiv | \section{Introduction}
Nonequilibrium systems can display phase transitions, with a number of well understood universality classes \cite{hinr00,henk08,odor08}.
Some features not observed in equilib | rium systems can occur if detailed balance is not fulfilled, e.g., correlations with a power law decay far
from criticality and phase transitions with short range interactions in one dimension. Examples of nonequilibrium phase transitions include boundary induced phase transitions \cite{krug91,blyt07},
phase transiti... |
{'timestamp': '2017-05-29T02:07:26', 'yymm': '1607', 'arxiv_id': '1607.04869', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04869'} | arxiv | \section{Introduction}
A difficult question regarding the simple modules over a simple, simply connected algebraic group $G$ over an algebraically closed field of positive characteristic $\Bbbk$ is | to find an explicit formula for their characters. A formula involving the action of the corresponding affine Weyl group was proposed by Lusztig \cite{L - problems} in 1980. Subsequently this formula was shown to hold in large characteristic by the combined efforts of Kazhdan-Lusztig, Kashiwara-Tanisaki, Lusztig and An... |
{'timestamp': '2016-07-19T02:04:40', 'yymm': '1607', 'arxiv_id': '1607.04749', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04749'} | arxiv | \section{Introduction}
Knowledge of quantum rovibrational states near the dissociation threshold is mandatory for the understanding
of the molecular dynamics of formation and depletion processes. I | n this respect the ozone molecule is a
particular interesting subject for both fundamental molecular
physics~\cite{SCH06:625, MAR13:17703,IVA13:17708,SUN10:555,LI14:081102,RAO15:633,GRE07:2044,TYU14:143002,GAR06:163005,MAU16:054107}
and various applications owing to the well-known role that this molecule plays in at... |
{'timestamp': '2018-01-08T02:16:37', 'yymm': '1607', 'arxiv_id': '1607.04868', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04868'} | arxiv | \section{Background}
This section will very briefly review definitions from Baker and Bowler's paper (\cite{BB17}), but only as a reminder to the reader who has already read the more complete treatme | nt there.
\begin{nota} $E$ denotes a finite set. $[n]$ denotes $\{1,2,\ldots,n\}$. $F$ denotes a set $G\cup\{0\}$, where $(G, N_G)$ is a tract (Definition~\ref{def-tract}).
$\mathbf 0$ denotes the vector in $F^E$ with all components $0$.
The {\bf support} of $X\in F^E$ is $\underline{X}:=\{e\in E: X(e)\neq 0\}$.... |
{'timestamp': '2016-07-19T02:04:56', 'yymm': '1607', 'arxiv_id': '1607.04769', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04769'} | arxiv | \section{Introduction}
\subsection{Background}
In the theory of flows on homogeneous spaces, Ratner's theorems on measure rigidity, topological rigidity, and orbit equidistribution \cite{ratner_r | aghunathans_1991, ratner_raghunathans_1991_1} play a major role. Their applications go far beyond the realm of dynamical systems and include results in number theory and mathematical physics \cite{ElkiesMcM04, shah_equidistribution_2009, marklof_frobenius_2010, marklof_strombergsson_free_path_length_2010}; thorough ex... |
{'timestamp': '2016-07-19T02:04:48', 'yymm': '1607', 'arxiv_id': '1607.04756', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04756'} | arxiv | \section{Nyikos' Manifold Problem}
For us, a \emph{manifold} is simply a locally Euclidean
topological space. Mary Ellen Rudin proved that
$\mathrm{MA}+{\sim}\mathrm{CH}$ implies every perfectly no | rmal manifold is
metrizable~\cite{Rudin1979}. Hereditary normality ($T_5$) is a natural
weakening of perfect normality; Peter Nyikos noticed that, although
the Long Line and Long Ray are hereditarily normal non-metrizable
manifolds, and indeed the only $1$-dimensional non-metrizable
connected manifolds \cite{Nyikos1993... |
{'timestamp': '2022-03-07T02:03:09', 'yymm': '2203', 'arxiv_id': '2203.02010', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02010'} | arxiv | \section{INTRODUCTION}
\label{sec:introduction}
Medical imaging provides a mechanism to study \textit{in vivo} physiological properties of the human body, and thus plays an important role in the diagn | osis, prognosis, and assessment of treatment response of different diseases.
To facilitate decision-making in clinical practice, quantitative imaging (QI), i.e., the extraction of numerical or statistical features from medical images, is being actively investigated \cite{sullivan2015metrology,rosenkrantz2015clinical}.... |
{'timestamp': '2022-03-10T02:29:10', 'yymm': '2203', 'arxiv_id': '2203.01994', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01994'} | arxiv | \section{Related work}
\noindent \textbf{Dense prediction problem} We focus on three dense prediction subtasks: such as monocular depth estimation, semantic segmentation and image super-resolution.
L | earning-based monocular depth estimation was first introduced by Saxena et al.~\cite{saxena2006learning}. Later studies improved accuracy by using large network architectures~\cite{chen2019structure,eigen2015predicting,eigen2014depth,Hu2018RevisitingSI,laina2016deeper} or integrating semantic information~\cite{jiao2018... |
{'timestamp': '2022-03-07T02:01:26', 'yymm': '2203', 'arxiv_id': '2203.01974', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01974'} | arxiv | \section{Conclusion}
This paper presents a data collection system that is portable and enables large-scale data collection. Our systems offers better utility for pedestrian behavior research because | our systems consists of human verified labels grounded in the metric space, a combination of both top-down views and perspective views, and a human-pushed cart that approximates naturalistic human motion with a socially-aware ``robot". We further couple the system setup with a semi-autonomous labeling process that easi... |
{'timestamp': '2022-03-07T02:02:24', 'yymm': '2203', 'arxiv_id': '2203.01990', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01990'} | arxiv | \section{Introduction}
Experimental biologists and clinicians seek a deeper understanding of biological processes and their link with disease phenotypes by characterizing cell behavior. Gene expressio | n offers a fruitful avenue for insights into cellular traits and changes in cellular state. Advances in technology that enable the measurement of RNA levels for individual cells via Single-cell RNA sequencing (scRNA-seq) significantly increase the potential to advance our understanding of the biology of disease by cap... |
{'timestamp': '2022-03-07T02:00:47', 'yymm': '2203', 'arxiv_id': '2203.01950', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01950'} | arxiv | \section{#1}}
\renewcommand{\theequation}{\arabic{equation}}
\renewcommand{\thetable}{\Roman{table}}
\newcommand\scalemath[2]{\scalebox{#1}{\mbox{\ensuremath{\displaystyle #2}}}}
\newcommand{\textcolo | r{blue}}{\textcolor{blue}}
\newcommand{\textcolor{cyan}}{\textcolor{cyan}}
\newcommand{\textcolor{BrickRed}}{\textcolor{BrickRed}}
\definecolor{MyDarkBlue}{rgb}{0.1, 0.3, 0.8}
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\definecolor{MyLightBlue}{rgb}{0.22,0.51,0.99}
\definecolor{MyGreen}{rgb}{0.0, 0.5, 0.3}
\definecolor{Br... |
{'timestamp': '2022-03-07T02:02:42', 'yymm': '2203', 'arxiv_id': '2203.01991', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01991'} | arxiv | \section{Introduction}
Throughout this paper all rings are commutative and $(R,\mathfrak{m},k)$ is a Noetherian local ring. The goal of this paper is to prove a rigidity theorem for Ext.
\begin{ | definition} Let $M$ be a nonzero finitely generated $R$ module. We say that $M$ is \emph{Ext rigid} if, for all finitely generated $R$ modules $N$, $\ext_{R}^{n}(M,N)=0$ for some $n\leq\grade{M}$ implies $\ext_{R}^{i}(M,N)=0$ for $i\leq n$. (Recall $\grade{M}=\inf\{i|\ext_{R}^{i}(M,R)\neq 0\}$.)
\end{definition}
\b... |
{'timestamp': '2022-03-07T02:03:00', 'yymm': '2203', 'arxiv_id': '2203.02003', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02003'} | arxiv | \section{Introduction} \label{sec:intro}
\add{To date,} WASP \citep[Wide Angle Search for Planets;][]{2007MNRAS.375..951C}, KELT \citep[Kilodegree Extremely Little Telescope;][]{2007PASP..119..923P} a | nd TESS \citep{2015JATIS...1a4003R} surveys \add{have} confirm\add{ed} that there are 17 hot Jupiters around hot stars ($>7000$ K). Despite their small number, their orbital obliquities tend to have a wide range. This tendency indicates that they did not \add{experience} realignment by the tidal torque \citep{2012ApJ..... |
{'timestamp': '2022-03-07T02:01:59', 'yymm': '2203', 'arxiv_id': '2203.01982', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01982'} | arxiv | \section{Introduction}
When considering the dynamics of composite quantum systems, there are many regimes where one system can be taken to be classical and the other quantum-mechanical. For example, | in quantum thermodynamics we often have a quantum system interacting with a large thermal reservoir that can be treated classically, whilst in atomic physics it is common to consider the behaviour of quantum atoms in the presence of classical electromagnetic fields. Things become more complicated when one considers cla... |
{'timestamp': '2022-03-07T02:00:54', 'yymm': '2203', 'arxiv_id': '2203.01959', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01959'} | arxiv |
\section{Introduction} \label{sec:intro}
According to the predictions of the Einstein's Equivalence Principle (EEP) the light emitted in the stellar photospheres suffers a redshift when escaping i | ts gravitational field, which is directly correlated to the mass-to-radius ratio of the observed star. In numbers, the measured effect is of the order of several
hundred m\,s$^{-1}$ for main-sequence stars and tens of times smaller for giants. For white dwarfs the gravitational effect is
several tens of km\,s$^{-1}$ ... |
{'timestamp': '2022-03-07T02:04:10', 'yymm': '2203', 'arxiv_id': '2203.02031', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02031'} | arxiv | \section{Introduction}
\subsection{Polar auxin transport}
The phytohormone auxin is a central player in practically all aspects of the development and growth of plants, for example in phyllotaxis, ro | ot development and the initiation of lateral roots, the formation of vascular tissues in stems, the patterning of leaf veins, and flower development \cite{Paque2016}. The pattern formation principles underlying these developmental mechanisms have been uncovered to a large part through an intensive cross-talk between ex... |
{'timestamp': '2022-03-09T02:22:13', 'yymm': '2203', 'arxiv_id': '2203.02041', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02041'} | arxiv | \section{Overview}
\label{sec:Overview}
Essentially everything of astronomical interest is either part of a galaxy, or from a galaxy, or otherwise relevant to the origin or evolution of galaxies. Div | erse examples are that the isotropic composition of meteorites provides clues to the history of star formation billions of years ago, and cosmological tests for the deceleration of the Universe are strongly affected by changes in the luminosities of galaxies during the lookback time sampled. The aim of this article is ... |
{'timestamp': '2022-03-07T02:02:04', 'yymm': '2203', 'arxiv_id': '2203.01983', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01983'} | arxiv | \section{Introduction}
Deep visuomotor policies that map from pixels to actions end-to-end can represent complex manipulation skills \cite{levine_finn_2016}, but have shown to be sensitive to the cho | ice of action space \cite{martin2019iros} -- e.g., Cartesian end effector actions (i.e. task space \cite{berenson2011task}) perform favorably when learning policies for tabletop manipulation, while joint actions have shown to fare better for whole-body motion control \cite{peng2017learning, Tan-RSS-18}.
In particular, ... |
{'timestamp': '2022-03-07T02:03:20', 'yymm': '2203', 'arxiv_id': '2203.02012', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02012'} | arxiv | \section{Introduction \label{sec:intro}}
Chemical systems with many close-lying electronic states or, more generally, strongly correlated electrons pose a significant challenge for modern electronic | structure theories in computational quantum chemistry~\cite{lowdin1958correlation,sherrill2007bond,krylov2007breaking,stein2014seniority,gaggioli2019beyond}. When transition metals or heavier elements are involved, degenerate and
nearly degenerate electronic states are common, and single-reference electronic structur... |
{'timestamp': '2022-03-07T02:03:22', 'yymm': '2203', 'arxiv_id': '2203.02015', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02015'} | arxiv | \section{Introduction}
Let $P$ be a point on an elliptic curve $E$ defined over a discrete valuation field $K$. In this paper, we study some properties of the sequence $\{nP\}_{n\in\mathbb{N}}$ of th | e multiples of the point $P$. It is known that this sequence has some remarkable properties, in particular when a Weierstrass model is fixed
\[y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6\]
the elements $nP=\left(\frac{\phi_n(x,y)}{\psi_n^2(x,y)},\frac{\omega_n(x,y)}{\psi_n^3(x,y)}\right)$ for $P=(x,y)$ satisfy certain recurre... |
{'timestamp': '2022-03-07T02:05:03', 'yymm': '2203', 'arxiv_id': '2203.02034', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02034'} | arxiv | \section{Introduction}
Anomaly detection (AD) has numerous real-world applications, especially for tabular data, including detection of fraudulent transactions, intrusions for cybersecurity, and adver | se outcomes in healthcare.
We propose a novel method that targets the following challenges in tabular AD:
\begin{itemize}[noitemsep,nolistsep,leftmargin=*]
\item \textbf{Noisy and irrelevant features}:
Tabular data (such as Electronic Health Records) often contain noisy or irrelevant features caused by measurement noi... |
{'timestamp': '2022-03-07T02:02:49', 'yymm': '2203', 'arxiv_id': '2203.01997', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01997'} | arxiv | \section{Introduction}
Colourings of simple $3$--dimensional hyperbolic polytopes with elements of $\mathbb{Z}^3_2$ were first used by Vesnin \cite{Ves87} in order to produce closed hyperbolic $3$--m | anifolds from the so--called L\"obell polyhedra.
Later on, Davis and Januszkiewicz \cite{DJ91} used a similar idea in order to produce complex $n$--manifolds with torus actions. The fixed point set of the conjugation involution of any such manifold produces a real $n$--manifold endowed with $\mathbb{Z}_2$--action \ci... |
{'timestamp': '2022-04-04T02:06:35', 'yymm': '2203', 'arxiv_id': '2203.01984', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01984'} | arxiv | \section{Introduction}
One of the central objects studied in general relativity are isolated gravitational systems such as stars, black holes and galaxies. Mathematically, they are modeled by asympto | tically flat initial data sets (IDS) which are triples $(M,g,k)$ consisting of an asymptotically flat, complete, smooth Riemannian 3-manifold $(M,g)$ together with a smooth, symmetric two-tensor $k$.
\
More precisely, $(M,g)$ contains a compact set $\mathcal{C}\subset M$ such that we can write $M\setminus \math... |
{'timestamp': '2022-03-07T02:05:04', 'yymm': '2203', 'arxiv_id': '2203.02035', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02035'} | arxiv | \section{Introduction}
Level design is a core feature of what defines a video game. When constructed correctly, it is a main determinant of player experience. From the designer's perspective, level d | esign can be either a tedious, but necessary step in the game's development or a creatively freeing process - sometimes it is both. Most levels are designed with the intent to teach the game's interactable space - the mechanics - to the player in a way that is (ideally) engaging, fun, visually pleasing, intuitive, and ... |
{'timestamp': '2022-03-07T02:03:13', 'yymm': '2203', 'arxiv_id': '2203.02011', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02011'} | arxiv | \section{Introduction}
\label{sec:intro}
Brazil reported COVID-19 first official case on February 25, 2020\cite{AgenciaBrasil2020_1}, in the city of São Paulo, which is the largest municipality in t | he country. Similar notifications in other Brazilian cities quickly followed, being accompanied by a devastating scenario of contagion and death \cite{Lovisolo2020,OF-COVID19-Relatorio30}, as shown in Fig.~\ref{fig:fig1}, which presents the prevalence of cases and deaths in the country until October 2021. The first off... |
{'timestamp': '2022-03-07T02:01:05', 'yymm': '2203', 'arxiv_id': '2203.01964', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01964'} | arxiv | \section{Introduction}\label{sec:introduction}
Following the pioneering work of Shannon on information theory, Kullback and Leibler defined a divergence of two probability measures $P$ and $Q$ \cite | {kullback-leibler-1951} \[D_{KL}(P||Q)= \sum_{x} P(x) \log \frac{P(x)}{Q(x)} \text{ with the convention } 0 \cdot \infty =0.\] This would later come to be known as the Kullback-Leibler divergence of probability measures. Later, R\'enyi generalised the notion of Kullback-Leibler divergence \cite{renyi1961}. For $0< \al... |
{'timestamp': '2022-03-24T01:01:32', 'yymm': '2203', 'arxiv_id': '2203.01953', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01953'} | arxiv | \section{Introduction}
\label{sec:intro}
The Fornax dwarf spheroidal galaxy (dSph) is the second brightest dSph after Sagittarius in the Milky Way (MW) halo \citep{McConnachie2012}. It has been disco | vered using photographic plates \citep{Shapley1938a,Shapley1938b}. Fornax, together with Leo I, Sculptor, Leo II, Sextans, Carina, Ursa Minor (UMi), Sagittarius (Sgr), and Draco, are known as the classical dSphs, since they are relatively bright \citep{Walker2012,Simon2019}. They are small and faint with very low stell... |
{'timestamp': '2022-03-29T02:36:13', 'yymm': '2203', 'arxiv_id': '2203.01957', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01957'} | arxiv | \section{Introduction}\label{Sec:intro}
Over the past decades there have been great strides in the classification and characterization of topological phases of matter \cite{Kane-Mele-2005, Kane-Mele-2 | 007, bernevig_zhang, RMP_ChingKai,Schnyder_2008, Kitaev_2009, cohomology1, DW_ashvin, cohomology2, wanggu, kapustin2015fermionic, freed2021reflection, maissam_new_5, bhardwaj2017state, cheng_bi_you_gu, maissam_new_3, Aasen:2021vva}.
Distinctions between these phases are encoded in the entanglement structure of their qu... |
{'timestamp': '2022-03-07T02:03:43', 'yymm': '2203', 'arxiv_id': '2203.02024', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02024'} | arxiv | \section*{Methods}
\subsection*{Electron Microscopy}
Simultaneously acquired EELS and HAADF datasets were collected on a 5-th order aberration-correction Nion UltraSTEM microscope operated at 100 keV | with a probe semi-angle of roughly 30 mrad and collection semi-angle of 80-240 mrad and 0-60 mrad for HAADF and EELS, respectively. Both specimens were imaged at 30 pA, for a dwell time of 10 ms (Fig. \ref{fig::ZnSCu}) and 15 ms (Fig. \ref{fig::eels_overview}) receiving a total dose of 3.25 $\times 10^4$ and 7.39 $\ti... |
{'timestamp': '2022-03-07T02:03:04', 'yymm': '2203', 'arxiv_id': '2203.02005', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02005'} | arxiv | \section{Introduction}
\label{section:introduction}
Theoretical performance guarantees and adaptability to real-world constraints determine the deployability, and hence the practical utility, of stat | istical methods and machine learning algorithms. For example, spectral clustering \citep{NgEtAl:2001:OnSpectralClustering,Luxburg:2007:ATutorialOnSpectralClustering}, one of the most sought after algorithms for clustering and community detection, has been studied under various constraints such as \textit{must-link} and... |
{'timestamp': '2022-03-07T02:03:08', 'yymm': '2203', 'arxiv_id': '2203.02009', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02009'} | arxiv | \section{Introduction}
In this paper, we consider the problem of \emph{point counting} for
principally polarized (p.p.)~abelian varieties over finite fields:
given a p.p.~abelian variety~$A$ over~$\m | athbb{F}_q$, we aim to compute the
characteristic polynomial of Frobenius~$\chi(A)\in \mathbb{Z}[X]$. If~$A$ is
an elliptic curve, this is equivalent to computing~$\# A(\mathbb{F}_q)$.
The motivation behind this challenge comes from different
directions. Counting points is a prerequisite for elliptic and
hyperelliptic... |
{'timestamp': '2022-03-07T02:00:47', 'yymm': '2203', 'arxiv_id': '2203.01951', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01951'} | arxiv | \section{Introduction}
Superconformal field theories (SCFTs) in five spacetime dimensions have received much deserved attention in recent years. Their mere existence forces us to expand our view of qu | antum field theories, as these fixed points cannot be reached by traditional means of perturbing around free field Lagrangians. Yet, by now, there is overwhelming evidence to support their existence, mostly due to stringy constructions starting with the seminal papers \cite{Seiberg:1996bd,Intriligator:1997pq,Ganor:1996... |
{'timestamp': '2022-03-07T02:04:45', 'yymm': '2203', 'arxiv_id': '2203.02033', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02033'} | arxiv | \section*{Acknowledgments}
This material is based upon work supported by the U.S.~Department of Energy, Office of Science, Office of Nuclear Physics under contract / award numbers DE-AC02-05CH11231, D | E-AC05-00OR22725, DE-AC05-76RL0130, DE-FG02-97ER41020, DE-FG02-97ER41033, DE-FG02-97ER41041, DE-SC0012612, DE-SC0014445, DE-SC0018060, and LANLEM77/LANLEM78. We acknowledge support from the Particle Astrophysics Program and Nuclear Physics Program of the National Science Foundation through grant numbers MRI-0923142, PH... |
{'timestamp': '2022-03-07T02:01:05', 'yymm': '2203', 'arxiv_id': '2203.01965', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01965'} | arxiv | \section{Introduction}
\noindent Semileptonic rare charm decays are strongly Glashow-Iliopoulos-Maiani (GIM) suppressed in the Standard Model (SM) due to light down-type quarks running in one-loop dia | grams~\cite{Burdman:2001tf}. Therefore, Beyond Standard Model (BSM) effects can be probed in $c\to u\ell^+\ell^-$ modes. However, several impediments need to be overcome in BSM searches in rare charm decays. These include the lack of sufficient theoretical control on decay amplitudes due to strong pollution from interm... |
{'timestamp': '2022-03-07T02:00:46', 'yymm': '2203', 'arxiv_id': '2203.01949', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01949'} | arxiv | \section{Introduction}\label{sec:intro}
Photometric redshift estimates (photo-$z$s) represent a fundamental ingredient in studies of both galaxy and active galactic nuclei (AGN) evolution, and in an i | ncreasing number of cosmological experiments.
Broadly, methods of estimating photo-$z$s fall into two categories: template fitting approaches that fit model or empirical template libraries to the observed photometry \cite[most effective and popular for deep survey fields with large numbers of available filters;][]{Dahl... |
{'timestamp': '2022-03-07T02:00:48', 'yymm': '2203', 'arxiv_id': '2203.01954', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01954'} | arxiv | \section{Introduction}
The Transiting Exoplanet Survey Satellite (TESS; \citealt{Ricker_TESS}) has vastly increased the number of planets available for detailed characterization; more than 5000 TESS O | bjects of Interest (TOI; \citealt{Guerrero2021}) have now been detected \footnote{exofop.ipac.caltech.edu/tess}. TOIs are candidate or confirmed transiting planets. With the launch of JWST and increasing numbers of space and ground based measurements of exoplanet atmospheres (e.g. \citealt{Benneke2019,DiamondLowe2020})... |
{'timestamp': '2022-03-07T02:02:49', 'yymm': '2203', 'arxiv_id': '2203.01998', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01998'} | arxiv | \section{Motivation and significance}
Scanned probe techniques such as scanning tunneling microscopy (STM) and non-contact atomic force microscopy (nc-AFM) have now made direct investigation of on-su | rface reactions a routine experimental technique \cite{Barth2007, Jelinek2017}. As the diverse ecosystem of organic molecules accessible by these techniques continues to grow so does the need for more sophisticated tools to extract quantitative information from larger and more complicated datasets of molecule imaging.
... |
{'timestamp': '2022-03-07T02:03:08', 'yymm': '2203', 'arxiv_id': '2203.02007', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02007'} | arxiv | \section{Introduction} \label{sec:intro}
Active galactic nuclei (AGN) are amongst the most luminous objects
(L = 10$^{42}$ $-$ 10$^{46}$ erg s$^{-1}$; \citealt{1999PNAS...96.4749F})
in the Universe t | hat emit radiation over a wide range of wavelengths. They are believed to be powered by
accretion of matter onto SMBH (10$^5$ $-$
10$^9$ $M_{\odot}$) situated at the center of galaxies \citep{1984ARA&A..22..471R,2008ApJ...689..762D}. The SMBH is generally supposed to be surrounded by an optically thick
and geometric... |
{'timestamp': '2022-03-24T01:23:10', 'yymm': '2203', 'arxiv_id': '2203.01976', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01976'} | arxiv |
\section{Todo for revision}
\section{Introduction}
Zero-shot cross-lingual transfer is the ability of a model to learn from labeled data in one language and transfer the learning to another langua | ge without any labeled data. Transformer ~\cite{NIPS2017_3f5ee243} based multilingual models pre-trained on unlabeled data from multiple languages are the state-of-the-art means for cross-lingual transfer \cite{ruder-etal-2019-transfer,Devlin2019}. While pre-training based cross-lingual transfer holds great promise for... |
{'timestamp': '2022-03-23T01:10:30', 'yymm': '2203', 'arxiv_id': '2203.01956', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01956'} | arxiv | \section{Introduction}
\label{sec:intro}
Euclidean quantum gravity has proven quite powerful in understanding non-perturbative and thermodynamic aspects of gravitational systems (e.g.\ see \cite{Gibb | ons:1994cg}). For non-gravitational theories, Wick rotation transforms an oscillatory integral in Lorentzian signature into an exponentially suppressed integral in Euclidean signature. However, the same effect on convergence of path integrals is not guaranteed for gravitational theories as the Euclidean action for grav... |
{'timestamp': '2022-03-07T02:01:33', 'yymm': '2203', 'arxiv_id': '2203.01977', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01977'} | arxiv | \section{Introduction}
\label{sec:intro}
Robots supporting people in their daily activities at home or at the workplace need to accurately and robustly perceive objects, such as containers, and their | physical properties, for example when they are manipulated by a person prior to a human-to-robot handover~\cite{Sanchez-Matilla2020,Medina2016,Rosenberger2021RAL,Ortenzi2021TRO,Yang2021ICRA}. Audio-visual perception should adapt -- on-the-fly and with limited or no prior knowledge -- to changing conditions in order to... |
{'timestamp': '2022-03-07T02:02:48', 'yymm': '2203', 'arxiv_id': '2203.01996', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01996'} | arxiv | \section{Introduction}
Engineering systems are nowadays systematically designed for optimal efficiency in a resource-scarce environment. The optimization process is most often carried out using comput | ational models predicting the behavior of the system for any given configuration. While these models are becoming more and more accurate thanks to algorithmic advances and the availability of low-cost computing power, the parameters required to describe the system are not always accurately known. This is due to the inh... |
{'timestamp': '2022-03-07T02:02:55', 'yymm': '2203', 'arxiv_id': '2203.01999', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01999'} | arxiv | \section{Introduction}
The problem of developing control policies that guarantee stability and safety of nonlinear control systems has received significant attention in recent years. In particular, th | e unification of Control Lyapunov Functions (CLFs) \cite{SontagSCL89,AmesTAC14} and Control Barrier Functions (CBFs) \cite{AmesTAC17,AmesECC19} has provided a pathway towards safe and stable control of complex nonlinear systems such as autonomous vehicles \cite{AmesCDC14,WeiAutomatica21}, multi-agent systems \cite{Ames... |
{'timestamp': '2022-03-07T02:00:53', 'yymm': '2203', 'arxiv_id': '2203.01958', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01958'} | arxiv | \section{Introduction}
\label{sec:intro}
Diffuse, non-thermal emission has been observed in more than 100 clusters of galaxies, revealing the existence of magnetic fields and relativistic particles o | n scales as large as a few megaparsecs. In the last decade, the advent of low-frequency, sensitive radio observations has brought about a major advance in the discovery of these objects and the characterization of their properties.\\
Synchrotron emission from the intra-cluster medium (ICM) has been observed in the form... |
{'timestamp': '2022-03-07T02:00:54', 'yymm': '2203', 'arxiv_id': '2203.01960', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01960'} | arxiv | \section{Introduction}
\label{intro.sec}
FBOTs have peak brightnesses comparable to those of (typical or superluminous) supernovae (SNe). As implied by their name, however, they exhibit very blue col | ors and evolve with much shorter timescales \citep{Ho2021}. Their rapid evolution is hard to explain with radioactive decay that powers most SNe, suggesting that they are a distinct new type of transients (e.g. \citealt{X21}, hereafter \citetalias{X21}). At a distance of only 63~Mpc, AT2018cow is the closest FBOT ever ... |
{'timestamp': '2022-03-09T02:08:07', 'yymm': '2203', 'arxiv_id': '2203.01981', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01981'} | arxiv |
\section{Alternative LYSO Calorimeter Considerations}
A naturally segmented array of tapered LYSO crystals provides an attractive alternative to our proposed LXe-based calorimeter. We are exploring | a geometry that matches that of the PEN pure CsI detector. The PEN crystals were limited to 12$X_0$ depth, which is insufficient for an ideal $\pi \rightarrow e \nu$ measurement. However, the segmentation and fast response allows for various trigger patterns and it is well-designed for the pion beta decay phase in th... |
{'timestamp': '2022-03-07T02:03:54', 'yymm': '2203', 'arxiv_id': '2203.02026', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02026'} | arxiv |
\subsection{Experimental Evaluations of Channel Pruning and Weight Allocation Techniques}\label{pruning sec}
\noindent\textbf{Empirical benefits of our proposed FLOP-aware pruning.} }%\textcolor{ | blue}{Both SplitCIFAR100 (Table~\ref{CIFARtable}) and MNIST (Figure~\ref{fig:mnist}) experiments show that our pruning algorithm performs well (by comparison between Individual-0.2/-1)}\ylm{Table~\ref{CIFARtable} shows that our algorithm performs well in our CL manner}, but missing additional experimental comparisons t... |
{'timestamp': '2022-03-07T02:03:42', 'yymm': '2203', 'arxiv_id': '2203.02022', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02022'} | arxiv | \section{Faint blue white dwarfs in the GCNS color-magnitude diagram}
\textit{Gaia} color-magnitude diagrams (CMDs) reveal
small numbers of faint blue white dwarfs (FBWDs) with
absolute \textit{Gai | a} magnitudes of $Gabs \gtrapprox 15$\,mag
and a wide range of blue \textit{Gaia} colors.
These FBWDs may constitute
of ''ultracool'' \citep{2020MNRAS.499.1890M}
or ''infrared-faint'' \citep{2020ApJ...898...84K},
but possibly also ''ultramassive" \citep{2021MNRAS.503.5397K} WDs.
The \textit{Gaia} catalogue of nearby ... |
{'timestamp': '2022-03-07T02:01:18', 'yymm': '2203', 'arxiv_id': '2203.01972', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01972'} | arxiv | \section{Introduction}
Rotational bands are ubiquitous in the spectra of medium-mass and heavy nuclei. As has been known for seventy years~\cite{Bohr:1951zz}, they emerge in a description of the nucl | eus as a nearly rigid axially-symmetric rotor~\cite{Rowe}. For even-even nuclei the simplest rotational bands consist of $0^+$, $2^+$, \ldots states and their energies are described by an expansion in powers of $I(I+1)$~\cite{Papenbrock:2010,CoelloPerez:2015}. This behavior has recently been obtained in {\it ab initio}... |
{'timestamp': '2022-03-07T02:00:47', 'yymm': '2203', 'arxiv_id': '2203.01952', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01952'} | arxiv | \section{Introduction}\label{sec:intro}
The deviations from lepton flavor universality observed in neutral-current~\cite{LHCb:2014vgu,LHCb:2017avl,LHCb:2019hip,LHCb:2021trn} and charged-current~\cite | {BaBar:2012obs,BaBar:2013mob,Belle:2015qfa,LHCb:2015gmp,LHCb:2017smo,LHCb:2017rln} semileptonic $B$~decays have stimulated intense model-building activity, triggering new ideas about the ultraviolet (UV) completion of the Standard Model (SM). Two key aspects have emerged quite clearly from the early attempts to provid... |
{'timestamp': '2022-03-07T02:02:06', 'yymm': '2203', 'arxiv_id': '2203.01986', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01986'} | arxiv | \section{Introduction}\label{sec:1}
Understanding how proto-planetary discs evolve and eventually dissipate is fundamental to building a comprehensive picture of the planet-formation process \citep[e. | g.,][]{Manara2019_pps}. It is commonly assumed that proto-planetary discs evolve under the effect of viscosity, which, allowing for angular momentum re-distribution within the disc, drives accretion onto the forming star \citep{Shakura&Sunyaev1973,Lynden-Bell&Pringle1974}. In this framework, the mass accretion rate on ... |
{'timestamp': '2022-03-07T02:03:08', 'yymm': '2203', 'arxiv_id': '2203.02008', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02008'} | arxiv | \section{Introduction}
Natural hazards associated with geophysical mass movements consist of a mixture of granular materials of different sizes of particles and the fluid with their respective ph | ysical properties. There have been rapid advancements in modeling shallow granular material (Savage and Hutter, 1989; Denlinger and Iverson, 2001; Pouliquen and Forterre, 2002, McDougall and Hungr, 2005; Pudasaini and Hutter, 2007; Luca et al., 2009; Kuo et al., 2011) and particle fluid mixture (Iverson, 1997; Pitman a... |
{'timestamp': '2022-03-07T02:02:59', 'yymm': '2203', 'arxiv_id': '2203.02002', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02002'} | arxiv | \section{Introduction}
In recent years, recommendation algorithms on social platforms have greatly enhanced confirmation bias by showing users content that is the most susceptible to match their inte | rests --- the so-called \emph{filter bubble} effect \citep{pariser}. As a consequence, more and more isolated, tightly clustered online communities of similar-minded individuals, often referred to as \emph{echo chambers}, have arisen in various domains such as politics \citep{cota2019,delvicario2017,garimella2018}, hea... |
{'timestamp': '2022-03-07T02:02:14', 'yymm': '2203', 'arxiv_id': '2203.01987', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01987'} | arxiv | \section{Introduction}
\begin{figure}[t]
\includegraphics[width=\columnwidth]{OptiTrap_teaser.png}
\caption{While previously, shapes demonstrated on levitation displays were limited to simple sha | pes with almost constant curvature \cite{Fushimi19,Hirayama19,Plasencia20}, our approach allows to render generic complex paths. Shapes that have not been demonstrated before include sharp edges as with the heart (B) and dolphin (D), as well as significant changes of the curvature, as with the cat (A) and flower (C) (s... |
{'timestamp': '2022-03-07T02:01:16', 'yymm': '2203', 'arxiv_id': '2203.01971', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01971'} | arxiv | \section{Introduction\label{sec:1}}
In this section we provide
the background motivating us to examine the present problem; then
we sketch the main results. At the end we give an overview of e | xisting
literature concerning PDEs on domains with small resonators.
\subsection{Motivations}
In what follows, if $\Omega$ is a domain in $\mathbb{R}^n$, we denote by $-\Delta_\Omega^D$ and $-\Delta_\Omega^N$ the Dirichlet and the
Neumann Laplacians on $\Omega$, respectively.
Also, if ${\mathcal{A}}$ is a self-adjoin... |
{'timestamp': '2022-03-07T02:03:54', 'yymm': '2203', 'arxiv_id': '2203.02027', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02027'} | arxiv |
\section{Introduction}
Constructing open source software (OSS) depends on contributors with a diverse set of skills. Each skill is vital to OSS: problem-solving skills allow software developers to b | uild new features to address issues; organizational skills help software maintainers manage the moving parts of an OSS project; and communication skills enable writers to generate clear, concise documentation and facilitate collaboration. Unlike in software engineering, where programmers primarily write code, many OSS ... |
{'timestamp': '2022-03-07T02:03:50', 'yymm': '2203', 'arxiv_id': '2203.02025', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02025'} | arxiv | \section{Introduction}
Randomized experimentation is a fundamental tool for obtaining counterfactual estimates.
The efficacy of randomization comes from a very simple intuition--by randomly assigning | treatment status dependence between observed (and unobserved) treatment and pre-treatment covariates necessarily tends to zero as a function of the number of units.
In the context of experimentation, this independence condition on observed covariates, commonly known as balance~\citep{imai2008misunderstandings, imai201... |
{'timestamp': '2022-03-07T02:02:22', 'yymm': '2203', 'arxiv_id': '2203.01988', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01988'} | arxiv | \section{Introduction}
\label{sec:intro}
Autophoretic colloids that isotropically emit or absorb solute molecules at their interface are prototypical examples of synthetic active matter. At low level | s of chemical activity (quantified by a suitably small intrinsic P\'{e}clet number, \Pen), diffusion is dominant enough to homogenize any perturbations to the solute distribution around such a particle, thereby rendering the concentration profile isotropic, and the particle stationary. Beyond a threshold P\'{e}clet num... |
{'timestamp': '2022-03-07T02:01:38', 'yymm': '2203', 'arxiv_id': '2203.01978', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01978'} | arxiv |
\section{Introduction}
The most common approach in neural lossy video compression is to train a VAE-like network to minimize the expected rate-distortion (R-D) objective $D + \beta | R$. Although this approach has proven to be very successful~\cite{habibian2019video, minnen2018joint, ssf, elfvc, lin2020mlvc}, a model trained to minimize expected R-D uniformly over all pixels may allocate too few bits to salient regions of a specific video.
This clashes with the model of the human visual system, wh... |
{'timestamp': '2022-03-07T02:02:58', 'yymm': '2203', 'arxiv_id': '2203.02001', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02001'} | arxiv | \section{Introduction}\label{sec:introduction}
The Brazilian Supreme Court (\textit{Supremo Tribunal Federal} (STF) in Portuguese) is the highest court of law in Brazil. It is primarily responsible f | or guarding the rights in the Brazilian Constitution.
There are eleven justices, nominated by the President and confirmed by the Senate.
Among its multiple attributions, STF can provide a final judgment on appeals from other courts and a judicial review on some norms created in the country.
In 2004, Brazil had mor... |
{'timestamp': '2022-03-07T02:05:18', 'yymm': '2203', 'arxiv_id': '2203.02043', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02043'} | arxiv | \section{Introduction and main results}\label{Sec:Introworm}
Worm problems have a long history. The earliest known problem of this type was posed by L. Moser in \cite{Moser1966} (cf.\;also \cite{Mose | r1991}) more than 50 years ago:\\
\par
\begingroup
\leftskip=1cm
\noindent \textit{Moser's worm problem: Find a/the (convex) set of least area that contains a congruent copy of each arc in the plane of lenth one.}\\
\par
\endgroup
\noindent Here, the unit arcs are sometimes called worms, while the problem has been ph... |
{'timestamp': '2022-03-07T02:05:15', 'yymm': '2203', 'arxiv_id': '2203.02042', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02042'} | arxiv | \section{Introduction}
Surgical resection is a common procedure in the treatment of pediatric posterior fossa tumors. However, surgical resection is associated with potential serious complications~\ci | te{dubey2009complications}, such as postoperative cerebellar mutism~\cite{van1995transient,gelabert2001mutism,pollack1997posterior,10.1093/neuonc/noaa215.536} and resultant long-term neuropsychological dysfunction~\cite{grill2004critical,levisohn2000neuropsychological}. While brain tissue damage caused by the tumor its... |
{'timestamp': '2022-03-07T02:03:22', 'yymm': '2203', 'arxiv_id': '2203.02014', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02014'} | arxiv | \section{Introduction}\label{section:intro}
\subsection{Overview}
\IEEEPARstart{W}{i-Fi} sensing has recently received extensive research interests~\cite{liu2019wireless,nirmal2021deep}. Wi-Fi is ubiq | uitous as it has been equipped in many consumable electronics including laptops, smartphones, tablets, wearable devices such as Fitbits, and smart home appliances, to name but a few.
Various interesting applications have been inspired, including large-scale movements such as human activity recognition~\cite{wang2014e... |
{'timestamp': '2022-03-07T02:02:05', 'yymm': '2203', 'arxiv_id': '2203.01985', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01985'} | arxiv | \section*{Acknowledgements}
This research was supported by the Energy Storage Materials Initiative (ESMI) at Pacific Northwest National Laboratory (PNNL). PNNL is a multi-program national laboratory | operated for the U.S. Department of Energy (DOE) by Battelle Memorial Institute under Contract No. DE-AC05-76RL01830.
\section{Conclusions}\label{sec:Conclusions}
We have developed a framework, called ePCDNN, for modeling the VRFB system by combining a physics-constrained DNN to learn the parameters of the 0D RFB mo... |
{'timestamp': '2022-03-07T02:00:55', 'yymm': '2203', 'arxiv_id': '2203.01961', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01961'} | arxiv | \section{Introduction}
In the AdS/CFT correspondence, where a precise non-perturbative definition of quantum gravity exists \cite{Maldacena:1997re,Witten:1998qj}, one of the most basic objects is th | e bulk-to-boundary map $V$ in the large $N$ and large t'Hooft coupling limit \cite{Balasubramanian:1998sn,Banks:1998dd,Balasubramanian:1999ri,Hamilton:2006az}. In this limit, the bulk description is well approximated by semi-classical supergravity, and the bulk-to-boundary map $V$ embeds bulk semi-classical states int... |
{'timestamp': '2022-03-07T02:01:10', 'yymm': '2203', 'arxiv_id': '2203.01968', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01968'} | arxiv |
\section{INTRODUCTION}
Finding a time-optimal way to follow a reference path while respecting kinematic joint limits is one of the most prevalent tasks in industrial robotics.
However, just li | ke a race driver needs to know the exact course of the race track to achieve an optimal lap time, time-optimal path parameterization (TOPP) requires the desired reference path to be fully known in advance.
For that reason, existing offline methods for time-optimal path parameterization are not applicable to reactive o... |
{'timestamp': '2022-03-07T02:03:06', 'yymm': '2203', 'arxiv_id': '2203.02006', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02006'} | arxiv | \section{Experimental details on CIFAR10}
\label{sec:app_cifar10}
In this section, we give the experimental details on the CIFAR10-based experiments shown in Figures \ref{fig:teaserplot} and \ref{fi | g:K_plot}. Moreover, we also conduct similar experiments using different neural network architectures. First, we give the full experimental details and then provide the results of the experiments using the different architectures.
\paragraph{Subsampling CIFAR10}
In all our experiments we subsample CIFAR10 to simulate ... |
{'timestamp': '2022-03-07T02:02:48', 'yymm': '2203', 'arxiv_id': '2203.01995', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01995'} | arxiv | \section{Introduction}
Energy calibration is the first and most essential step in a newly installed accelerator facility. There are several experiments performed by different accelerator facilities ac | ross the globe for energy calibration such as $^{7}Li(p,n)$, $^{13}C(p,n)$, $^{27}Al(p,n)$, $^{27}Al(p,\gamma)$, $^{19}F(p,n)$ etc.. Among which neutron emitting reactions are very popular due to their relatively easier detections. Every neutron producing reaction has a particular energy, called neutron threshold energ... |
{'timestamp': '2022-03-07T02:01:39', 'yymm': '2203', 'arxiv_id': '2203.01979', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01979'} | arxiv | \section{Introduction}
Since the discovery of superconducting \cite{cao2018unconventional,yankowitz2019tuning} and insulating \cite{cao2018correlated} behavior in magic angle graphene, twistronics ha | s quickly become one of the most active fields in condensed matter physics. One of the most recent advancements in the field is the discovery of ferroelectric behavior in twisted hetero-bilayers \cite{zheng2020unconventional,yasuda2021stacking}. The discovery was regarded as highly unconventional because it is uncommon... |
{'timestamp': '2022-03-16T01:28:39', 'yymm': '2203', 'arxiv_id': '2203.02030', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02030'} | arxiv | \section{Introduction}
Many complex and significant optimization problems (such as all of Karp's 21 NP-complete problems~\cite{L2014}, the~travelling salesman problem~\cite{KT1985}, the~protein foldi | ng problem~\cite{BW1987}, financial portfolio management~\cite{quantumfinance}) can be mapped into the problem of finding the~ground state of the~Ising spin-glass. Sophisticated and promising new methods for solving Ising instances rely on quantum computation, particularly quantum annealing.
Quantum annealing is a for... |
{'timestamp': '2022-03-07T02:01:40', 'yymm': '2203', 'arxiv_id': '2203.01980', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01980'} | arxiv | \section{Introduction}
\begin{figure}[t]
\begin{center}
\includegraphics[width=7cm]{intro4cycle.eps}
\caption{\label{fig:intro}
Schematic view of chemical enrichment in galaxies.
}
\end{cente | r}
\end{figure}
Explaining the origin of the elements is one of the scientific triumphs linking nuclear physics with astrophysics. As Fred Hoyle predicted, carbon and heavier elements (`metals' in astrophysics) were not produced during the Big Bang but instead created inside stars. So-called $\alpha$ elements (O, N... |
{'timestamp': '2022-03-07T02:05:20', 'yymm': '2203', 'arxiv_id': '2203.02044', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02044'} | arxiv | \section{Method}
We conduct our work according to the methodology used by~\cite{Mentis2014}. The examples presented in this paper
come from the
Champalimaud Foundation in Lisbon, PT~\cite{Zorzal2020} | .
At that site, we
observed laparoscopic surgeries on one of the Foundation's surgical rooms and
talked to surgeons before and after the procedures, who explained
what was about to happen or what took place. Also, during the surgery, nurses
provided insight into the several stages of the surgery, or what was happening ... |
{'timestamp': '2022-03-07T02:03:36', 'yymm': '2203', 'arxiv_id': '2203.02018', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02018'} | arxiv |
\subsection{Heterogeneous graph}
\label{sec:preliminaries:hg}
Heterogeneous graphs are an important abstraction for modeling the relational data of multi-modal systems.
Formally, a heterogeneous g | raph is defined as $\mathcal{G} = (\mathcal{V}, \mathcal{E}, \mathcal{T}, \mathcal{R})$ where
the node set $\mathcal{V}: = \{1,\ldots,|\mathcal{V}|\}$;
the edge set $\mathcal{E}$ consisting of ordered tuples $e_{ij}:=(i, j)$ with $i, j\in\mathcal{V}$, where $e_{ij}\in\mathcal{E}$ iff an edge exists from $i$ to $j$;
t... |
{'timestamp': '2022-03-08T02:37:59', 'yymm': '2203', 'arxiv_id': '2203.01969', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01969'} | arxiv |
\section{Introduction}
Neuroimaging with MRI is of paramount importance in the understanding of the morphology and connectivity of the human brain. \textit{In vivo} MR imaging has been widely adopte | d in research, where studies rely most often on prospective datasets of high-quality brain scans. Meanwhile, clinical MRI datasets remain largely unexplored in neuroimaging studies, despite their much higher abundance (e.g., 10 million brain scans were acquired in the US in 2019~\cite{oren_curbing_2019}). Analysing suc... |
{'timestamp': '2022-03-07T02:03:42', 'yymm': '2203', 'arxiv_id': '2203.02023', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02023'} | arxiv | \section{General Bids} \label{sec:general-bids}
It is natural to consider negative values and bids in a matching market.
Negative values model \emph{costs} incurred for a match, such as in a job mar | ket.
When a worker is matched as an employee to a company, she experiences some cost for which she must be compensated.
The goal of the matching market is to find an efficient price for her labor.
However, negative costs complicate matters because they also introduce negative bids.
A participant can make it difficult f... |
{'timestamp': '2022-03-10T02:27:21', 'yymm': '2203', 'arxiv_id': '2203.02029', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02029'} | arxiv | \section{0pt}{12pt plus 4pt minus 2pt}{0pt plus 2pt minus 2pt}
\titlespacing\subsection{0pt}{12pt plus 4pt minus 2pt}{0pt plus 2pt minus 2pt}
\renewcommand*{\paragraph}[2]{\textbf{#2}}
\newcommand{ | }{}
\newcommand{\mycaption}[2][]{\renewcommand{}{#2}%
\caption[#1]{{\footnotesize #2}}}
\makeatletter
\renewcommand{\fnum@table}{\textbf{\tablename~\thetable}}
\renewcommand{\fnum@figure}{\textbf{\figurename~\thefigure}}
\makeatother
\makeatletter
\AtBeginDocument{\let\LS@rot\@undefined}
\makeatother
\newcomma... |
{'timestamp': '2022-03-07T02:03:00', 'yymm': '2203', 'arxiv_id': '2203.02004', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02004'} | arxiv | \section{Introduction}
Promoting a field theory Lagrangian from a Lorentz-invariant one to a generally-covariant one necessarily leads to an interaction between the fields of the theory and the gravi | tational field.
In the case of a scalar field, $S$, the natural generalization of this minimal interaction scenario is to introduce a non-minimal coupling term of the form
\begin{equation}
\label{eq:gen_nonmin_int}
\propto \xi_S S^2R \;.
\end{equation}
Here $R$ is the Ricci scalar and $\xi_S$ is a non-minimal cou... |
{'timestamp': '2022-03-07T02:02:56', 'yymm': '2203', 'arxiv_id': '2203.02000', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02000'} | arxiv | \section{Introduction}
\label{sec:intro}
Let~$g\geq 1$ be an integer, and let~$\mathcal{H}_g$ be the Siegel upper
half space of degree~$g$, which consists of all symmetric $g\times g$
complex matric | es with positive definite imaginary
part. Let~$a,b\in\{0,1\}^g$. Then the \emph{theta function} of
genus~$g$ and characteristic~$(a,b)$ is defined
on~$\mathbb{C}^g\times \mathcal{H}_g$ by the following exponential series:
\begin{equation}
\label{eq:theta-function}
\theta_{a,b}(z, \tau) = \sum_{m\in \mathbb{Z}^g}
... |
{'timestamp': '2022-03-07T02:05:12', 'yymm': '2203', 'arxiv_id': '2203.02040', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02040'} | arxiv | \section{Introduction}
Let $G=(V,E)$ be a graph with maximum degree $\Delta$ and minimum degree $\delta>0$. Consider an edge $C$-colouring $c$ of $G$, i.e. an assignment of elements from a set $C$ of | potential colours to the edges of $G$, which does not need to be proper. Let $E_G(v)$ denote the set of edges incident to a vertex $v$ in $G$ and set $E_G[uv]:=E_G(u)\cup E_G(v)$ for every edge $uv\in E$. Let further $P_c(uv)$, $P_c(v)$ be the \emph{palettes} of colours of $uv$ and $v$, i.e. the multisets of colours i... |
{'timestamp': '2022-04-05T02:01:07', 'yymm': '2203', 'arxiv_id': '2203.02032', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02032'} | arxiv | \section[Introduction]{Introduction}
We show that linear chaos in the space $c(\N)$ ($\N:=\left\{1,2,3,\dots\right\}$ is the set of \textit{natural numbers}) of convergent sequences cannot be arriv | ed at by merely extending the weighted backward shifts in the space $c_0(\N)$ of vanishing sequences, \textit{bounded}
\[
c_0\ni x:=\left(x_k\right)_{k\in \N}\mapsto A_wx:=w\left(x_{k+1}\right)_{k\in \N}\in c_0
\quad (|w|>1),
\]
introduced in \cite{Rolewicz} (see also \cite{Godefroy-Shapiro1991}), as well as \text... |
{'timestamp': '2022-03-30T02:03:36', 'yymm': '2203', 'arxiv_id': '2203.02037', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02037'} | arxiv |
\section{Introduction}
\label{sec:intro}
Goldman \cite{MR846929} and Turaev \cite{MR1142906} defined a Lie bialgebra structure on the $\mathbb Z$-module generated by
the free homotopy classes of | loops of an oriented surface $M$ (i.e. the conjugacy classes of $\pi_1(M)$). The
bracket is defined by
\begin{equation}\label{goldman}
[X ,Y ]_{\pi_1(M)}=\sum_{p\in \alpha\cap \beta}\epsilon(p; \alpha, \beta) \{\alpha_p \beta_p\}
\end{equation}
where $\alpha$ and $\beta$ are representatives of $X$ and $Y$
respecti... |
{'timestamp': '2022-03-07T02:00:45', 'yymm': '2203', 'arxiv_id': '2203.01948', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01948'} | arxiv | \section{Introduction}\label{sec:intro}
Time-dependent manipulation of few and many-particle quantum systems is important across all implementations of quantum computing and simulation. In such proce | sses, decoherence and undesired transitions reducing the state fidelity are relatively ubiquitous. One important example is given by the undesired transitions that can occur between instantaneous eigenstates of the dynamical Hamiltonian upon the application of an external drive. This is why many driving protocols rely ... |
{'timestamp': '2022-03-07T02:02:47', 'yymm': '2203', 'arxiv_id': '2203.01993', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01993'} | arxiv |
\section{Introduction}
\label{sec:intro}
Deep Generative Networks (DGNs) have emerged as the go-to framework for generative modeling of high-dimensional dataset, such as natural images. Wi | thin the realm of DGNs, different frameworks can be used to produce an approximation of the data distribution e.g. Generative Adversarial Networks (GANs) \cite{goodfellow2020generative}, Variational AutoEncoders (VAEs) \cite{kingma2013auto} or flow-based models \cite{prenger2019waveglow}. But despite the different trai... |
{'timestamp': '2022-03-15T01:05:11', 'yymm': '2203', 'arxiv_id': '2203.01967', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01967'} | arxiv | \section{Introduction}
The quasi-geostrophic shallow-water (QGSW) equation \cite{CaCr13} is a transport equation in two space dimensions for an active scalar $q(t, \mathbf{x})$, $\mathbf{x} = (x, y | )$,
\begin{equation}
\left\{
\begin{aligned}
\label{QGSW}
\begin{split}
& q_t + \u \cdot \nabla q = 0,\\
&\u=\nabla^\perp \Psi,\\
&-\Delta\Psi+F\Psi= q,
\end{split}
\end{aligned}\right.
\end{equation}
where $q$ is the potential vorticity, $\u$ is the velocity, $\Psi$ is the stream function, and $F$ is a positive consta... |
{'timestamp': '2022-03-07T02:05:11', 'yymm': '2203', 'arxiv_id': '2203.02038', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02038'} | arxiv | \section{Introduction \& Related Work}
There is a substantial gap between how many users dream of interacting with intelligent robots and how those robots are programmed in reality. The dream is for | the human user to instruct their robot in something not too far from natural language, e.g. ``please visit both the gas station and the grocery store, and make sure you get back here within 30 minutes'', or ``land at one of three landing pads, but stay clear of other aircraft''. Unfortunately, robots today usually expe... |
{'timestamp': '2022-03-25T01:07:56', 'yymm': '2203', 'arxiv_id': '2203.01973', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01973'} | arxiv | \section{\@startsection{section}{2}%
{\z@}{.5\linespacing\@plus.7\linespacing}{.5em}%
{\normalfont\bfseries\centering}}
\def\@secnumfont{\bfseries}
\makeatother
\theoremstyle{definition}
\ne | wtheorem{example}[theorem]{\indent Example}
\newtheorem{definition}[theorem]{\indent Definition}
\theoremstyle{remark}
\newtheorem{remark}[theorem]{\indent Remark}
\newtheorem{notation}[theorem]{\indent Notations}
\title[Kleinian sphere packings, reflection groups, and arithmeticity]{Kleinian sphere packings, reflec... |
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