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\section{Introduction} Members of our group have been involved in long-term studies of abundances in Galactic halo stars. These studies have been designed to address a number of important issues, including: the synthesis mechanisms of the heavy, specifically, neutron capture ($n$-capture) elements, early in the ...
{'timestamp': '2011-06-07T02:07:30', 'yymm': '1106', 'arxiv_id': '1106.1109', 'language': 'en', 'url': 'https://arxiv.org/abs/1106.1109'}
\section{Introduction} General relativity (GR) is currently the most established theory of gravitation. It correctly describes a number of observations, such as planetary orbits in the Solar System, the motion of masses in the Earth's gravitational field \cite{BETA.Will:2014kxa}, the recently discovered gravitational...
{'timestamp': '2017-09-08T02:10:06', 'yymm': '1708', 'arxiv_id': '1708.07851', 'language': 'en', 'url': 'https://arxiv.org/abs/1708.07851'}
\section{Introduction} Subgraph detection and graph partitioning are fundamental problems in network analysis, each typically framed in terms of identifying a group or groups of vertices of the graph so that the vertices in a shared group are well connected or ``similar'' to each other in their connection patterns w...
{'timestamp': '2022-12-27T02:09:46', 'yymm': '2212', 'arxiv_id': '2212.12839', 'language': 'en', 'url': 'https://arxiv.org/abs/2212.12839'}
\section{Introduction} The theory of Mean Field Games (MFG) was introduced independently by Lasry and Lions \cite{bib:LL1,bib:LL2,bib:LL3} and Huang, Malham\'e and Caines \cite{bib:HCM1,bib:HCM2} to study Nash equilibria for games with a very large number of players. Without entering technical details, let us recall th...
{'timestamp': '2020-04-15T02:12:48', 'yymm': '2004', 'arxiv_id': '2004.06505', 'language': 'en', 'url': 'https://arxiv.org/abs/2004.06505'}
\section{Introduction} Feature matching is a key component in many 3D vision applications such as structure from motion (SfM) or simultaneous localization and mapping (SLAM). Conventional pose estimation is a multi-step process: feature detection finds interest points, for which local descriptors are computed. Based ...
{'timestamp': '2022-05-05T02:00:29', 'yymm': '2205', 'arxiv_id': '2205.01694', 'language': 'en', 'url': 'https://arxiv.org/abs/2205.01694'}
\section{0pt}{12pt plus 4pt minus 2pt}{8pt plus 2pt minus 2pt} \usepackage{amsthm,amsmath} \RequirePackage{hyperref} \usepackage[utf8]{inputenc} \usepackage{nameref} \def{} \def{} \usepackage{graphicx} \graphicspath{{./figures/}} \usepackage{subcaption} \captionsetup{compatibility=false} \usepackage{amsfonts} ...
{'timestamp': '2023-01-10T02:25:22', 'yymm': '2301', 'arxiv_id': '2301.03498', 'language': 'en', 'url': 'https://arxiv.org/abs/2301.03498'}
\section{Introduction} Because of the broadcast nature of wireless communications, multiple receiving nodes may overhear the transmission of a transmitting node in a wireless network. Therefore, a packet can be routed through different routes to its destination node. This ``multiple-route diversity'' can be exploited...
{'timestamp': '2012-07-17T02:00:38', 'yymm': '1109', 'arxiv_id': '1109.2583', 'language': 'en', 'url': 'https://arxiv.org/abs/1109.2583'}
\section{Introduction} In this paper we consider undirected graphs. The node set of a graph $G=(V,E)$ is sometimes also denoted by $V(G)$, and similarly, the edge set is sometimes denoted by $E(G)$. A \textbf{subgraph} of a graph $G=(V,E)$ is a pair $(V', E')$ where $V'\subseteq V$ and $E'\subseteq E\cap (V' \time...
{'timestamp': '2014-07-21T02:08:54', 'yymm': '1407', 'arxiv_id': '1407.4999', 'language': 'en', 'url': 'https://arxiv.org/abs/1407.4999'}
\section{Introduction} \label{sec:intro} We consider a one-dimensional semilinear hyperbolic system of the form \begin{align} \partial_t p(x,t) + \partial_x u(x,t) &= 0, \qquad x \in (0,1), \ t>0, \label{eq:sys1} \\ \partial_t u(x,t) + \partial_x p(x,t) + a(u(x,t)) &= 0, \qquad x \in (0,1), \ t>0, \label{...
{'timestamp': '2016-06-14T02:06:29', 'yymm': '1606', 'arxiv_id': '1606.03580', 'language': 'en', 'url': 'https://arxiv.org/abs/1606.03580'}
\section{Introduction} Extending the well-known result of extremal graph theory by Tur\'an, E. Gy\H ori and A.V. Kostochka \cite{ek} and independently F.R.K Chung \cite{chung} proved the following theorem. For an arbitrary graph $G$, let $p(G)$ denote the minimum of $\sum|V(G_i)|$ over all decompositions of $G$ into e...
{'timestamp': '2015-06-11T02:10:45', 'yymm': '1506', 'arxiv_id': '1506.03306', 'language': 'en', 'url': 'https://arxiv.org/abs/1506.03306'}
\section{Introduction} \setcounter{equation}{0} Quantum field theory lies at the root of modern physics. After the success of the standard model in describing particle physics, one of the most pressing open question is how to derive an extended version of field theory which encompasses the quantization of gravity. T...
{'timestamp': '2008-11-03T16:43:12', 'yymm': '0811', 'arxiv_id': '0811.0186', 'language': 'en', 'url': 'https://arxiv.org/abs/0811.0186'}
\section{Introduction} In this paper, we study aspects of~$(2,0)$ superconformal field theories (SCFTs) in six dimensions, as well as their circle and torus compactifications, which lead to maximally supersymmetric Yang-Mills theories in five and four dimensions. (We will refer to them as~${\mathcal N}=2$ and~${\mathc...
{'timestamp': '2015-05-15T02:12:10', 'yymm': '1505', 'arxiv_id': '1505.03850', 'language': 'en', 'url': 'https://arxiv.org/abs/1505.03850'}
\section{Introduction}\label{intro} The interaction between a quantum system and a quantum measurement apparatus, with only unitary evolution, would entangle the two initially uncorrelated systems so that information about the system is recorded in a set of apparatus states \cite{N32}. Because an entangled state exhibi...
{'timestamp': '2014-11-20T02:09:00', 'yymm': '1407', 'arxiv_id': '1407.5007', 'language': 'en', 'url': 'https://arxiv.org/abs/1407.5007'}
\section*{\refname}\small\renewcommand\bibnumfmt[1]{##1.}} \usepackage[T1]{fontenc} \usepackage{enumitem} \usepackage{booktabs} \usepackage{hyperref} \usepackage{tikz} \usetikzlibrary{myautomata} \usetikzlibrary{decorations.pathreplacing,calc} \usepackage{caption} \usepackage{subcaption} \usepackage{multicol} \usepacka...
{'timestamp': '2022-06-22T02:45:21', 'yymm': '2206', 'arxiv_id': '2206.10228', 'language': 'en', 'url': 'https://arxiv.org/abs/2206.10228'}
\section{Introduction} The supersymmetric version of the seesaw mechanism is an attractive candidate for physics beyond the Standard Model. On the one hand, it includes the seesaw mechanism, which postulates the existence of right-handed neutrino fields and has become the most popular framework to account for neutrino...
{'timestamp': '2008-11-04T12:58:28', 'yymm': '0811', 'arxiv_id': '0811.0485', 'language': 'en', 'url': 'https://arxiv.org/abs/0811.0485'}
\section{Introduction}\label{sec1} The anomalous Hall effect (AHE)~\cite{Nagaosa2010} and the magneto-optical effect (MOE)~\cite{Ebert1996,Oppeneer2001,Antonov2004} are fundamental phenomena in condensed matter physics and they have become appealing techniques to detect and measure magnetism by electric and optical ...
{'timestamp': '2019-03-27T01:23:52', 'yymm': '1903', 'arxiv_id': '1903.11038', 'language': 'en', 'url': 'https://arxiv.org/abs/1903.11038'}
\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'}
\section{Introduction} \label{sec:introduction-weight-structures} The aim of this article is to provide and review some foundational results on homotopy categories, weight structures and weight complex functors. Weight structures were independently introduced by M.~Bondarko in \cite{bondarko-weight-str-vs-t-str}, and...
{'timestamp': '2011-07-07T02:03:03', 'yymm': '1107', 'arxiv_id': '1107.1227', 'language': 'en', 'url': 'https://arxiv.org/abs/1107.1227'}
\section{Introduction} Primordial nucleosynthesis is one of the cornerstones of the hot big-bang cosmology. The agreement between the predictions for the abundances of D, $^3$He, $^4$He and $^7$Li and their inferred primordial abundances provides the big-bang cosmology's earliest, and perhaps most, stringent test. Fu...
{'timestamp': '1993-12-28T23:55:46', 'yymm': '9312', 'arxiv_id': 'astro-ph/9312062', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/9312062'}
\section{Introduction} Understanding the structure evolution in amorphous alloys during thermal and mechanical treatments is important for tuning their physical and mechanical properties~\cite{Greer16}. It is well accepted by now that in contrast to crystalline solids where plasticity is governed by topological line...
{'timestamp': '2021-02-11T02:09:40', 'yymm': '2010', 'arxiv_id': '2010.00547', 'language': 'en', 'url': 'https://arxiv.org/abs/2010.00547'}
\section{Phonetics} \label{sec:intro} Phonetic variation in speech is a complex and fascinating phenomenon. The sound of our speech is influenced by the communities and groups we belong to, places we come from, the immediate social context of speech, and many physiological factors. There is acoustic variation in speec...
{'timestamp': '2022-02-01T02:25:23', 'yymm': '2008', 'arxiv_id': '2008.12233', 'language': 'en', 'url': 'https://arxiv.org/abs/2008.12233'}
\section{Introduction} A hypothetical pseudoscalar particle called axion is predicted by the theory related to solving the CP-invariance violation problem in QCD. The most important parameter determining the axion properties is the energy scale $f_a$ of the so-called U(1) Peccei-Quinn symmetry violation. It determines...
{'timestamp': '2015-12-08T02:10:57', 'yymm': '1508', 'arxiv_id': '1508.03836', 'language': 'en', 'url': 'https://arxiv.org/abs/1508.03836'}
\section{Introduction} In this paper, $\Gamma$ is a discrete group, $K$ is a (complex) Hilbert space and $\pi$ is a unitary representation of $\Gamma$ on $K$. We denote by $1_\Gamma$ the one dimensional trivial representation of $\Gamma$, and $K^\pi$ the set of $\pi$-invariant vectors in $K$. Recall that (see \cite{BC...
{'timestamp': '2013-04-29T02:00:44', 'yymm': '1304', 'arxiv_id': '1304.7051', 'language': 'en', 'url': 'https://arxiv.org/abs/1304.7051'}
\section{Introduction} The physics of $F=2$ spinor Bose-Einstein condensates (BECs) started to gain the attention of both theorists and experimentalists during the last decade. The interest was motivated by the structure of $F=2$ condensates: being more complex than that of $F=1$ condensates, it made possible properti...
{'timestamp': '2012-05-21T02:01:37', 'yymm': '1202', 'arxiv_id': '1202.3658', 'language': 'en', 'url': 'https://arxiv.org/abs/1202.3658'}
\section{Introduction} A large part of the visible matter in our universe is made up of protons and neutrons, collectively called hadrons. Hadrons are made up of more fundamental particles called quarks and gluons. The quantum theory for these particles is Quantum Chromodynamics(QCD). QCD is a strongly interacting...
{'timestamp': '2014-03-11T01:08:50', 'yymm': '1403', 'arxiv_id': '1403.2102', 'language': 'en', 'url': 'https://arxiv.org/abs/1403.2102'}
\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'}
\section{Introduction} We are motivated by the classical question of irregularities of distribution \cite{MR903025} and recent results which give new lower bounds on the star-Discrepancy in all dimensions $ d\ge 3$ \cites{MR2409170,MR2414745}. We recall these results. Given integer $ N$, and selection $ \mathca...
{'timestamp': '2010-01-30T15:06:07', 'yymm': '0909', 'arxiv_id': '0909.5158', 'language': 'en', 'url': 'https://arxiv.org/abs/0909.5158'}
\section{Introduction} \label{sec:intro} Solar jets are one type of pervasive and explosive phenomena on the Sun, usually appearing as a footpoint brightening followed by a nearly collimated plasma ejection \citep[e.g.,][]{2016SSRv..201....1R,2021RSPSA.47700217S,2018ApJ...861..108Z}. Coronal jets are often observed...
{'timestamp': '2021-08-23T02:13:45', 'yymm': '2108', 'arxiv_id': '2108.08718', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.08718'}
\section{Introduction}\label{INTRODUCTION} Ann decides to go to her local Italian restaurant for dinner. Ann whittles down her choice to either the spaghetti or the risotto. The spaghetti is always the same and always pretty good - a safe choice. The risotto is risky, sometimes it is excellent but on occasion it has b...
{'timestamp': '2021-09-24T02:01:28', 'yymm': '2109', 'arxiv_id': '2109.10968', 'language': 'en', 'url': 'https://arxiv.org/abs/2109.10968'}
\section{Architecture} \begin{figure}[htb] \includegraphics[width=\columnwidth] {framework.png} \caption{\label{fig:framework} Illusion of the system of DCAF. \textit{Request Value Online Estimation} module will score each request conditioned on action $j$ through online features of which estimator is trained offline. ...
{'timestamp': '2020-06-18T02:09:47', 'yymm': '2006', 'arxiv_id': '2006.09684', 'language': 'en', 'url': 'https://arxiv.org/abs/2006.09684'}
\section{Introduction} Formation of relativistic jets in active galactic nuclei (AGN) is one of the biggest challenges in astrophysics. The radio galaxy M87 is one of the closest examples of this phenomena, and its jet has been investigated across the entire electromagnetic spectrum over years~\citep[e.g.,][]{owen1989...
{'timestamp': '2013-08-08T02:00:26', 'yymm': '1308', 'arxiv_id': '1308.1411', 'language': 'en', 'url': 'https://arxiv.org/abs/1308.1411'}
\section{Introduction} In quantum systems with purely unitary evolutions, the total energy is a conserved quantity, since the corresponding Hamiltonian always commutes with itself. However, this argument does not apply to systems with Hamiltonians which are self-adjoint but not Hermitian \cite{Kurcz_NJP} and to open ...
{'timestamp': '2010-06-04T02:01:31', 'yymm': '0909', 'arxiv_id': '0909.5337', 'language': 'en', 'url': 'https://arxiv.org/abs/0909.5337'}
\section{Introduction.} \label{section:intro} Since being introduced by W. Hoeffding \cite{hoeffding1948class}, U-statistics have become an active topic of research. Many classical results in estimation and testing are related to U-statistics; detailed treatment of the subject can be found in excellent monographs \ci...
{'timestamp': '2019-10-22T02:09:19', 'yymm': '1801', 'arxiv_id': '1801.05921', 'language': 'en', 'url': 'https://arxiv.org/abs/1801.05921'}
\section{Introduction} In a circuit of capacitively coupled metallic islands, static screening describes the redistribution of polarization charges on the capacitive plates of the islands in response to a static offset charge on one of the islands. The resulting voltages are determined by a (screened) Poisson equation...
{'timestamp': '2016-06-22T02:00:31', 'yymm': '1606', 'arxiv_id': '1606.06300', 'language': 'en', 'url': 'https://arxiv.org/abs/1606.06300'}
\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'}
\section{Acknowledgement} The authors like to thank Vitaly Feldman and Jalaj Upadhyay for helpful discussions in the process of preparing this paper and Daniel Levy for comments on an earlier draft. Part of this work was done while HA and AF were interning at Apple. \section{Proofs of Section~\ref{sec:LB} (Lower bound...
{'timestamp': '2021-06-28T02:23:19', 'yymm': '2106', 'arxiv_id': '2106.13756', 'language': 'en', 'url': 'https://arxiv.org/abs/2106.13756'}
\section{Introduction: Cardy's Conjecture} Except in the rare cases(e.g. \cite{2}) of integrable or otherwise solvable models, it is generally impossible to derive by hand the spectrum of a quantum theory from only the Hamiltonian. Perturbation theory is therefore a standard technique for the professional theorist, bu...
{'timestamp': '2021-04-12T02:02:18', 'yymm': '2005', 'arxiv_id': '2005.07209', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.07209'}
\section{Long-range correlated disorder and self-consistent Born approximation} \subsection{Long-range interacting impurity} On a square lattice, at each site $\bm{R}$, we introduce an impurity whose strength $W(\bm{R})$ independently takes a random value from a uniform distribution $[-W/2,W/2]$. These impurities are ...
{'timestamp': '2022-05-03T02:00:21', 'yymm': '2205', 'arxiv_id': '2205.00015', 'language': 'en', 'url': 'https://arxiv.org/abs/2205.00015'}
\section{Introduction} Methods of modern spectroscopy make it possible to measure hyperfine splittings in electronic states of atoms and molecules with high accuracy, resulting in a large amount of data for the analysis and interpretation \cite{barzakh2013changes, barzakh2017changes, beiersdorfer2001hyperfine,schmidt20...
{'timestamp': '2019-03-08T02:22:31', 'yymm': '1903', 'arxiv_id': '1903.03093', 'language': 'en', 'url': 'https://arxiv.org/abs/1903.03093'}
\section{Introduction} \label{sec:intro} Keyword detection is like searching for a needle in a haystack: the detector must listen to continuously streaming audio, ignoring nearly all of it, yet still triggering correctly and instantly. In the last few years, with the advent of voice assistants, keyword spotting has be...
{'timestamp': '2019-02-19T02:22:49', 'yymm': '1812', 'arxiv_id': '1812.02802', 'language': 'en', 'url': 'https://arxiv.org/abs/1812.02802'}
\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'}
\section{Introduction} The AdS/CFT correspondence \cite{Maldacena:1997re,Gubser:1998bc,Witten:1998qj} provides a controlled environment to study the physics of a strongly-coupled conformal field theory (CFT) on the boundary by dealing with a weakly-coupled gravitational system in the Anti-de Sitter (AdS) bulk. In...
{'timestamp': '2021-06-28T02:23:24', 'yymm': '2106', 'arxiv_id': '2106.13757', 'language': 'en', 'url': 'https://arxiv.org/abs/2106.13757'}
\section{Introduction} \label{sec:intro} Narrow-Line Seyfert 1 (NLS1) Galaxies are a relatively peculiar subclass of active galactic nuclei (AGNs), which are characterized by their optical spectra with narrow permitted lines (FWHM (H$\beta$) $<$ 2000 km s$^{-1}$), the ratio of [O III]$\lambda$5007$/$H$\beta$ $<$ 3, and...
{'timestamp': '2013-02-25T02:00:59', 'yymm': '1302', 'arxiv_id': '1302.5500', 'language': 'en', 'url': 'https://arxiv.org/abs/1302.5500'}
\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'}
\section{Introduction} For the last few decades, we have seen tremendous developments on knot theory, a subject where diverse areas in mathematics and physics interact in beautiful ways. The interplay between mathematics and physics involving knot theory was triggered by the seminal paper of Witten \cite{Witten:1988h...
{'timestamp': '2013-07-23T02:11:31', 'yymm': '1302', 'arxiv_id': '1302.5144', 'language': 'en', 'url': 'https://arxiv.org/abs/1302.5144'}
\section{0pt}{14pt plus 2pt minus 2pt}{5pt plus 2pt minus 2pt} \titlespacing*\subsection{0pt}{4pt plus 1pt minus 1pt}{5pt plus 2pt minus 2pt } \titlespacing*\subsubsection{0pt}{4pt plus 1pt minus 1pt}{5pt plus 2pt minus 2pt} \renewcommand\bibsection{% \section*{References}% \markboth{\MakeUppercase{\refname}}...
{'timestamp': '2021-06-14T02:25:10', 'yymm': '2106', 'arxiv_id': '2106.06421', 'language': 'en', 'url': 'https://arxiv.org/abs/2106.06421'}
\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'}
\section{Introduction} Pandemics have caused death and destruction several times throughout human history, and have caused large and lasting impacts on society: for example the Black Death in 14\textsuperscript{th} century Europe \citep{herlihy_black_1997}, the Spanish flu in 1918-1920 \citep{johnson_updating_2002}, ...
{'timestamp': '2020-06-16T02:29:17', 'yymm': '2005', 'arxiv_id': '2005.13722', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.13722'}
\section{Introduction} \label{intr} One of many achievements of the Density Functional Theory \cite{pr_136_B864,pr_140_A1133} (DFT) is its ability to provide accurate total energy of an interacting many-electron system as a function of external fields such as an electrostatic field generated by nuclei in a solid. Natu...
{'timestamp': '2020-12-23T02:02:02', 'yymm': '2012', 'arxiv_id': '2012.11671', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.11671'}
\section{Introduction} Deep Neural Networks (DNNs) have shown remarkable success in many computer vision tasks. Despite the high performance in server-based DNNs powered by cutting-edge parallel computing hardware, most state-of-the-art architectures are not yet ready to be deployed on mobile devices due to the limi...
{'timestamp': '2020-05-01T02:07:41', 'yymm': '2004', 'arxiv_id': '2004.14566', 'language': 'en', 'url': 'https://arxiv.org/abs/2004.14566'}
\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'}
\section{Introduction} \label{intro} Feedback from high-mass stars (i.e. OB stars with M$_{\star}$ $\geq$ 8 M$_{\sun}$) is fundamental to the shaping of the visible Universe. From the moment star formation begins, stellar feedback commences, injecting energy and momentum into the natal environment. This feedback can b...
{'timestamp': '2018-05-03T02:00:17', 'yymm': '1805', 'arxiv_id': '1805.00479', 'language': 'en', 'url': 'https://arxiv.org/abs/1805.00479'}
\section{Introduction} As photons from a distant light source travel through the Universe, their paths are perturbed by the gravitational influence of the large-scale structure. Weak gravitational lensing concerns the small distortions in the images of distant galaxies due to the influence of the intervening mass alo...
{'timestamp': '2021-05-31T02:07:34', 'yymm': '2105', 'arxiv_id': '2105.13542', 'language': 'en', 'url': 'https://arxiv.org/abs/2105.13542'}
\section*{Acknowledgements} AA is at the d\'epartement d'informatique de l'ENS, \'Ecole normale sup\'erieure, UMR CNRS 8548, PSL Research University, 75005 Paris, France, and INRIA Sierra project-team. The authors would like to acknowledge support from the \textit{data science} joint research initiative with the \tex...
{'timestamp': '2018-07-20T02:01:18', 'yymm': '1807', 'arxiv_id': '1807.07122', 'language': 'en', 'url': 'https://arxiv.org/abs/1807.07122'}
\section{Introduction} \label{sec:intro} With the detection of the first gravitational wave (GW) signals GW150914~\cite{Abbott:2016blz} and GW151226~\cite{Abbott:2016nmj} the era of GW astronomy has begun. Beside black hole binaries, binary neutron stars (BNS) are one of the expected sources for future detections ...
{'timestamp': '2016-11-23T02:06:46', 'yymm': '1611', 'arxiv_id': '1611.07367', 'language': 'en', 'url': 'https://arxiv.org/abs/1611.07367'}
\section{Introduction to Sparsity} One of the core features of Hawking radiation \cite{HawkingEffect1,HawkingEffect2} is the similarity of its emission spectrum to that of a grey body, hence that of a black body. While educational and edifying, this comparison omits one very important feature: This radiation is \emph{...
{'timestamp': '2019-10-17T02:11:08', 'yymm': '1910', 'arxiv_id': '1910.07256', 'language': 'en', 'url': 'https://arxiv.org/abs/1910.07256'}
\section{Introduction} Over the last decades, many wavelet procedures have been developed in various statistical frameworks. Yet, in multivariate settings, most of them are based on isotropic wavelet bases. These indeed have the advantage of being as easily tractable as their univariate counterparts since each isotro...
{'timestamp': '2016-11-28T02:05:11', 'yymm': '1611', 'arxiv_id': '1611.07237', 'language': 'en', 'url': 'https://arxiv.org/abs/1611.07237'}
\section{Introduction} Derivate is one of the most important topics not only in mathematics, but also in physics, chemistry, economics and engineering. Every standard Calculus course provides a variety of exercises for the students to learn how to apply the concept of derivative. The types of problems range from findi...
{'timestamp': '2018-05-02T02:09:26', 'yymm': '1805', 'arxiv_id': '1805.00343', 'language': 'en', 'url': 'https://arxiv.org/abs/1805.00343'}
\section{Introduction} \label{sec:Introduction} Binary black holes (BBH) are among the most important sources of gravitational waves for upcoming gravitational-wave detectors like Advanced LIGO~\cite{TheLIGOScientific:2014jea} and Virgo~\cite{Accadia:2011zzc}. Accurate predictions of the gravitational waveforms emit...
{'timestamp': '2015-02-09T02:01:15', 'yymm': '1502', 'arxiv_id': '1502.01747', 'language': 'en', 'url': 'https://arxiv.org/abs/1502.01747'}
\section{Introduction} As natural language understanding of sentences and short documents continues to improve, there has been growing interest in tackling longer-form documents such as academic papers \citep{Ren2014,Bhagavatula2018}, novels \citep{Iyyer2016} and screenplays \citep{Gorinski2018}. Analyses of such docu...
{'timestamp': '2020-05-01T02:06:30', 'yymm': '2004', 'arxiv_id': '2004.14532', 'language': 'en', 'url': 'https://arxiv.org/abs/2004.14532'}
\section{Introduction}\label{sec.introduction} In a world in which technology has been incorporated, both in business and homes, communications have become essential. Due to the centralization of information and storage of data in the cloud, a failure in communications (especially in the business environment) can cause...
{'timestamp': '2022-09-27T02:03:24', 'yymm': '2209', 'arxiv_id': '2209.11861', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.11861'}
\section{\label{}} \section{EXTRA-SPECTRAL COMPONENTS} Most of the prompt emission spectra of gamma-ray bursts (GRBs) can be described by the well-known Band function \citep{ban93}; the photon number spectrum $\propto \varepsilon^{\alpha}$ below $\varepsilon_{\rm p}$, and $\propto \varepsilon^{\beta}$ above it. The s...
{'timestamp': '2011-11-02T01:01:33', 'yymm': '1111', 'arxiv_id': '1111.0127', 'language': 'en', 'url': 'https://arxiv.org/abs/1111.0127'}
\subsection{Datasets} \begin{table}[t] \centering \begin{tabular}{@{}C{1.6cm}C{1.9cm}C{1.9cm}C{1.9cm}@{}} \toprule[0.015in] Dataset & No augmentation & SpecAugment~\cite{park2019specaugment} & SapAugment \\ \midrule \multicolumn{4}{l}{\hspace{-0.1in}LibriSpeech 100h}\\\hline ~~test-clean & $12.0\pm0.30$...
{'timestamp': '2021-02-16T02:39:51', 'yymm': '2011', 'arxiv_id': '2011.01156', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.01156'}
\section{Introduction} \label{sec:intro} Medical image diagnosis with convolutional neural networks (CNNs) is still challenging due to the semantic ambiguity of pathologies \cite{liang2020atlas}. For example, lung nodules and non-nodules can share instinctive similarity, which can lead to high false-positive rates fr...
{'timestamp': '2021-02-09T02:20:38', 'yymm': '2012', 'arxiv_id': '2012.12880', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.12880'}
\section{Introduction} \label{intro} With smartphones, mobile applications and expanded connectivity, people are consuming more video content than ever. That increase in mobile video consumption is taking a toll on the internet, which has seen data traffic increase many-fold in a few years. However, the high temporal v...
{'timestamp': '2022-12-27T02:04:55', 'yymm': '2212', 'arxiv_id': '2212.12686', 'language': 'en', 'url': 'https://arxiv.org/abs/2212.12686'}
\section{Introduction} In 1964, H.\ Bass \cite{bass} showed that if $R$ is a ring and $H$ a subgroup of the general linear group $\operatorname{GL}_n(R)$, then \begin{equation*} H\text{ is normalised by }\operatorname{E}_n(R)~\Leftrightarrow~ \exists \text{ ideal }I:~\operatorname{E}_n(R,I)\subseteq H\subseteq \operat...
{'timestamp': '2019-12-10T02:09:24', 'yymm': '1912', 'arxiv_id': '1912.03536', 'language': 'en', 'url': 'https://arxiv.org/abs/1912.03536'}
\section{appendix} \label{app} Here we give details about the static Bogoliubov transformation, the classical model, the Floquet theory and Mathieu functions. \subsection{Static Bogoliubov transformation} For the time-independent case, Hamiltonian (2) in the main text can be expressed as \begin{equation} H_q= v_F q\...
{'timestamp': '2020-12-01T02:53:56', 'yymm': '2011', 'arxiv_id': '2011.15129', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.15129'}
\section{Introduction} The entanglement entropy is an important quantity for quantum field theories. The entanglement entropy is non-vanishing even at zero temperature and it is proportional to the degrees of freedom. Moreover, it can classify the topological phases described by the ground state of the FQHE or the Che...
{'timestamp': '2012-06-08T02:01:02', 'yymm': '1112', 'arxiv_id': '1112.5535', 'language': 'en', 'url': 'https://arxiv.org/abs/1112.5535'}
\section{Introduction} Electroencephalogram (EEG) is a neuroimage technique which register the electromagnetic field created on the cerebral cortex. The sources are the synchronized post-synaptic potentials between interconnected neurons. The activations are caused by large micro-scale masses of neuronal activity. Howe...
{'timestamp': '2021-12-28T02:29:11', 'yymm': '2107', 'arxiv_id': '2107.10325', 'language': 'en', 'url': 'https://arxiv.org/abs/2107.10325'}
\section{Introduction} Gravitational-wave (GW) observations~\cite{LIGOScientific:2016aoc,LIGOScientific:2020ibl, LIGOScientific:2018mvr} have improved our understanding of compact binary systems, their properties, and their formation channels~\cite{LIGOScientific:2018jsj,LIGOScientific:2020kqk}. A crucial component...
{'timestamp': '2021-11-23T02:11:02', 'yymm': '2110', 'arxiv_id': '2110.12813', 'language': 'en', 'url': 'https://arxiv.org/abs/2110.12813'}
\section{Introduction} \subsection{Introduction and main results} Suppose $(M,g)$ is a compact Riemannian manifold of dimension $n$, and let $\triangle_g$ be the Laplace--Beltrami operator. A classical result in analysis, dating back to Minakshisundaram--Pleijel \cite{Minakshisundaram1949} and Seeley \cite{seeley},...
{'timestamp': '2022-08-04T02:00:52', 'yymm': '2108', 'arxiv_id': '2108.07529', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.07529'}
\section*{Introduction} The tragic sinking of the SS El Faro vessel occurred while it was traveling from Florida to Puerto Rico~\cite{elfaro}. The vessel with a crew of 33 sank about 1140 Hrs UTC on Oct. 1, 2015. As part of their investigation into the sinking of the El Faro, the National Transportation Safety Board (...
{'timestamp': '2017-03-24T01:08:00', 'yymm': '1703', 'arxiv_id': '1703.08161', 'language': 'en', 'url': 'https://arxiv.org/abs/1703.08161'}
\section{Hardness Results on the \(\mathit{ManipSA}\) Problem} \label{Sect:MU} We have seen in the last section that the \(\mathit{ManipSA}\) problem is in XP w.r.t. parameters \(n\) and \(\mu(a_1)\) and that it is in FPT for parameter \(\mathtt{rg}^{\max}\). One could hope for more positive results for parameters \...
{'timestamp': '2019-11-27T02:13:20', 'yymm': '1909', 'arxiv_id': '1909.08920', 'language': 'en', 'url': 'https://arxiv.org/abs/1909.08920'}
\section{Introduction} \label{sec:intro} Precipitation initiation is a dynamic process that is influenced by many weather variables, location, and seasons. In general terms, as a parcel of air containing water vapor rises in the atmosphere, it will reach a certain height at which the temperature drops below the dew poi...
{'timestamp': '2018-05-08T02:03:20', 'yymm': '1805', 'arxiv_id': '1805.01950', 'language': 'en', 'url': 'https://arxiv.org/abs/1805.01950'}
\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'}
\section{Introduction} In this paper we define a new algebra of noncommutative differential forms over any Hopf algebra $H$ with an invertible antipode. The resulting differential calculus, denoted here by $\mathcal{K}^*(H)$, is intimately related to the class of anti-Yetter-Drinfeld modules over $H$, herein called A...
{'timestamp': '2005-12-07T02:37:04', 'yymm': '0512', 'arxiv_id': 'math/0512031', 'language': 'en', 'url': 'https://arxiv.org/abs/math/0512031'}
\section{Introduction} Superconducting on-chip filter-bank spectrometers (SFBSs) are a promising technology for a number of scientifically important applications in astronomy and meteorology that require low-noise, spectroscopic measurements at millimetre and sub-millimetre wavelengths. SFBSs are capable of achieving...
{'timestamp': '2020-01-27T02:08:33', 'yymm': '2001', 'arxiv_id': '2001.08947', 'language': 'en', 'url': 'https://arxiv.org/abs/2001.08947'}
\section{Introduction} High temperature QCD is expected to asymptote a weakly coupled Coulomb plasma albeit with still strong infrared divergences. The latters cause its magnetic sector to be non-perturbative at all temperatures. At intermediate temperatures of relevance to heavy-ion collider experiments, the electric...
{'timestamp': '2009-10-14T18:27:11', 'yymm': '0910', 'arxiv_id': '0910.2666', 'language': 'en', 'url': 'https://arxiv.org/abs/0910.2666'}
\section{Introduction} Central black holes (BHs) with masses ranging from $\sim 10^6$ to a few $\times 10^9$ $M_\odot$\ are an integral component of most, perhaps all, galaxies with a bulge component (Kormendy 2004), and although rarer, at least some late-type galaxies host nuclear BHs with masses as low as $\sim 10...
{'timestamp': '2008-03-13T19:25:40', 'yymm': '0803', 'arxiv_id': '0803.2023', 'language': 'en', 'url': 'https://arxiv.org/abs/0803.2023'}
\section{Structural changes} The appearance of a maximum in the melting line of hydrogen near 82~GPa has been explained by a softening of intermolecular interactions in the liquid \cite{bonev_nature_2004}, similar to what was observed in the orientationally-ordered phase of the solid (phase III) \cite{moshary_prb_1993...
{'timestamp': '2009-10-09T20:19:59', 'yymm': '0910', 'arxiv_id': '0910.1798', 'language': 'en', 'url': 'https://arxiv.org/abs/0910.1798'}
\section{Introduction} Evolutionary tracks and isochrones are usually computed taking into account a fixed law of helium to metal enrichment $( \Delta Y/\Delta Z )$. In fact most of the available tracks follow a linear $Y(Z)$ relation of the form $Y=Y_P+(\Delta Y/\Delta Z)\,Z$ (e.g. Bertelli et al. 1994 with $Y_{...
{'timestamp': '2008-03-10T18:24:58', 'yymm': '0803', 'arxiv_id': '0803.1460', 'language': 'en', 'url': 'https://arxiv.org/abs/0803.1460'}
\section{Introduction} The problem of vacuum tunneling in de Sitter spacetime has recently acquired renewed relevance. In part, this is due to developments in string theory, which suggest that vacuum tunneling may be of relevance for understanding transitions between the various potential vacua that populate the stri...
{'timestamp': '2005-12-29T03:25:23', 'yymm': '0512', 'arxiv_id': 'hep-th/0512332', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-th/0512332'}
\section{Introduction} Stellar evolution theory predicts that stars initially more massive than 7-8$M_{\odot}$ should explode as Core Collapse Supernovae (CCSNe) at the end of their nuclear burning lives (e.g. Heger et al. 2003; Eldridge \& Tout 2004). The observation of progenitor stars of CCSNe in archival pre-explo...
{'timestamp': '2007-07-27T18:29:02', 'yymm': '0706', 'arxiv_id': '0706.0500', 'language': 'en', 'url': 'https://arxiv.org/abs/0706.0500'}
\section{Introduction} These are working notes, originally written in September-November 2021. Adam \'O Conghaile has proposed in \cite{AOC2021} some very interesting ideas on how to leverage ideas from the sheaf-theoretic approach to contextuality \cite{abramsky2011sheaf,DBLP:conf/csl/AbramskyBKLM15} to obtain cohomol...
{'timestamp': '2022-06-27T02:09:13', 'yymm': '2206', 'arxiv_id': '2206.12156', 'language': 'en', 'url': 'https://arxiv.org/abs/2206.12156'}
\section{Introduction} \label{sect:intro} This paper is motivated by a recent collection of papers \cite{JonCylinder,JonRhombus,BLN,EngWitten,Thapper,JonDiag}, which in turn were motivated by some combinatorial questions in statistical physics, namely the properties of the Witten index in the so-called hard squares mo...
{'timestamp': '2012-04-17T02:04:56', 'yymm': '1202', 'arxiv_id': '1202.1655', 'language': 'en', 'url': 'https://arxiv.org/abs/1202.1655'}
\section{Introduction} In the process of obtaining a sufficiently general version of the Fundamental Theorem of Asset Pricing (FTAP), semimartingales proved crucial in modelling discounted asset-price processes. The powerful tool of stochastic integration with respect to general predictable integrands, that semimartin...
{'timestamp': '2009-11-02T00:19:19', 'yymm': '0803', 'arxiv_id': '0803.1890', 'language': 'en', 'url': 'https://arxiv.org/abs/0803.1890'}
\section{Introduction} In this paper we describe basic concepts of dynamic programming in terms of categories of optics. The class of models we consider are discrete-time Markov decision processes, aka. discrete-time controlled Markov chains. There are classical methods of computing optimal control policies, underlyin...
{'timestamp': '2022-06-10T02:20:31', 'yymm': '2206', 'arxiv_id': '2206.04547', 'language': 'en', 'url': 'https://arxiv.org/abs/2206.04547'}
\section{Introduction} \label{intro} Magnetic multilayers that combine strong spin-orbit interaction with broken inversion symmetry can give rise to the presence of topologically nontrivial spin textures, so-called magnetic skyrmions \cite{Roesler2006, Muhlbauer2009}, at room temperature \cite{Jiang2017}. Several studi...
{'timestamp': '2020-08-18T02:36:47', 'yymm': '2006', 'arxiv_id': '2006.11318', 'language': 'en', 'url': 'https://arxiv.org/abs/2006.11318'}
\section{Introduction} \noindent Type Ia supernovae (SNe Ia) are the calibrated standard candles used in the discovery of the accelerated expansion of the Universe (Riess et al. 1998; Perlmutter et al. 1999) and they remain a powerful tool in exploring the nature of dark energy. Although a lot of progress has been ma...
{'timestamp': '2018-11-22T02:15:44', 'yymm': '1807', 'arxiv_id': '1807.03593', 'language': 'en', 'url': 'https://arxiv.org/abs/1807.03593'}
\section{Introduction} We interact with computer algorithms throughout the day. Algorithms guide us to our destinations, finish our sentences in emails, automate business processes and decisions in healthcare, and recommend movies and music for us to enjoy. On social media platforms, algorithms select messages for ou...
{'timestamp': '2022-01-19T03:05:34', 'yymm': '2201', 'arxiv_id': '2201.07203', 'language': 'en', 'url': 'https://arxiv.org/abs/2201.07203'}
\section{Introduction} Repeated measurements data consists of observations from several experimental units, subjects, or groups under different conditions. This grouping or clustering of the individual responses into experimental units typically introduces dependencies: the different units are assumed to be indepen...
{'timestamp': '2022-02-04T02:15:07', 'yymm': '2108', 'arxiv_id': '2108.13657', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.13657'}
\section{Magnetic blackbody shift} The total magnetic blackbody shift of a level $\left| a\,m_a \right>$ is given by equation~\eref{eq:deltaE}. For electrons $\vect{\mu} = -\mu_B (\vect{J} + \vect{S})$ if we neglect the anomalous magnetic moment (i.e. $g_s=2$). Then \begin{align} \begin{split} \Delta E_a &= \frac{1}{4...
{'timestamp': '2009-10-12T02:48:12', 'yymm': '0910', 'arxiv_id': '0910.2064', 'language': 'en', 'url': 'https://arxiv.org/abs/0910.2064'}
\section{Introduction} \quad We consider the T-congruence Sylvester equation of the form \begin{equation} \label{T-con} AX+X^{\rm T}B=C, \end{equation} where $A\in \mathbb R^{m\times n}$, $B\in \mathbb R^{n\times m}$ and $C\in \mathbb R^{m\times m}$ are given, and $X\in \mathbb R^{n\times m}$ is to be determined....
{'timestamp': '2015-11-06T02:06:05', 'yymm': '1511', 'arxiv_id': '1511.01597', 'language': 'en', 'url': 'https://arxiv.org/abs/1511.01597'}
\section{Background} The starting point for the development of algebraic invariants in topological data analysis is the classification of finite persistence modules over a field $k$: that any such module decomposes into a direct sum of indecomposable interval modules; moreover, the decomposition is unique up to reorder...
{'timestamp': '2018-06-29T02:11:49', 'yymm': '1803', 'arxiv_id': '1803.08108', 'language': 'en', 'url': 'https://arxiv.org/abs/1803.08108'}
\section{Introduction} We consider the problem of finding a function ${u}\in{V}$ such that \begin{equation}\label{abs-pro} {\mathcal{N}}({u},{v};\boldsymbol{\mu}) = {\mathcal{F}}({v};\boldsymbol{\mu})\quad\forall\, {v}\in{V}, \end{equation} where $\boldsymbol{\mu}\in D$ denotes a point in a parameter domain $D\s...
{'timestamp': '2022-01-03T02:12:14', 'yymm': '2010', 'arxiv_id': '2010.07370', 'language': 'en', 'url': 'https://arxiv.org/abs/2010.07370'}
\section{Introduction}\label{sec:intro} In recent years, the development of cosmic microwave background observations, led by surveys such as the Wilkinson Microwave Anisotropy Probe (WMAP) \citep{2013ApJS..208...19H}, {\it Planck} \citep{2020A&A...641A...1P,2020A&A...641A...6P}, the South Pole Telescope (SPT) \citep{C...
{'timestamp': '2021-06-30T02:32:18', 'yymm': '2106', 'arxiv_id': '2106.15604', 'language': 'en', 'url': 'https://arxiv.org/abs/2106.15604'}
\section{Introduction} \label{sec:Introduction} The discovery of the Higgs particle, announced on 4 July 2012 by the LHC experiments ATLAS \cite{Aad:2012tfa} and CMS \cite{Chatrchyan:2012xdj} marked a milestone for particle physics. It structurally completed the Standard Model (SM) providing us with a theory that re...
{'timestamp': '2019-02-22T02:18:53', 'yymm': '1810', 'arxiv_id': '1810.00768', 'language': 'en', 'url': 'https://arxiv.org/abs/1810.00768'}
\section{Introduction} Stability conditions in derived categories provide a framework for the study of moduli spaces of complexes of sheaves. They have been introduced in \cite{Bri07:stability_conditions}, with inspiration from work in string theory \cite{Dou02:mirror_symmetry}. It turns out that the theory has far fu...
{'timestamp': '2017-03-28T02:13:28', 'yymm': '1607', 'arxiv_id': '1607.01262', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.01262'}
\section{Introduction} \label{sec:intro} The problem of 2D DOA estimation, as an instantiation of multivariate spectral analysis, arises in many applications such as azimuth-elevation angle estimation using 2D arrays and transceiver design in MIMO communications. Despite of the large body of literature \cite{hlv}, e...
{'timestamp': '2018-08-06T02:02:39', 'yymm': '1808', 'arxiv_id': '1808.01035', 'language': 'en', 'url': 'https://arxiv.org/abs/1808.01035'}
\section{Conclusion} To identify the root causes of performance anomalies of kernel IO, \sys provides fine-grained performance profiling of kernel IO stacks. \sys tags each IO request with {\tt request ID} and traces the {\tt request ID} through IO layers, measuring precise latency of each IO layer the IO request trav...
{'timestamp': '2019-06-18T02:34:50', 'yymm': '1906', 'arxiv_id': '1906.07124', 'language': 'en', 'url': 'https://arxiv.org/abs/1906.07124'}