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\section{Introduction} The nonlinear BSDE theory formulated by Pardoux and Peng \cite{PP1} has many applications in practice and theory, which range from economics (see e.g. El Karoui, Peng and Quenez \cite{KPQ}) to PDEs (see e.g. Pardoux and Peng \cite{PP2}, Peng \cite{Peng1}). Based on BSDE, Peng \cite{Peng2} int...
{ "timestamp": "2018-05-16T02:04:30", "yymm": "1804", "arxiv_id": "1804.05610", "language": "en", "url": "https://arxiv.org/abs/1804.05610" }
\section*{Introduction} We say that a system of equations with variables taking values in a set $S$ is partition regular over $S$ if for every finite partition of $S$ one cell of the partition contains a solution to the system. Many famous results in Ramsey theory (including Schur's theorem and van der Waerden's th...
{ "timestamp": "2018-04-17T02:10:10", "yymm": "1804", "arxiv_id": "1804.05341", "language": "en", "url": "https://arxiv.org/abs/1804.05341" }
\section{Introduction} During the last few decades, several countries across the world have faced the ageing population problem. It is well known that the ageing of the population threatens the sustainability of Pays-As-You-Go pension systems, that is essentially based on a sufficiently high ratio workers to pensioner....
{ "timestamp": "2018-04-17T02:10:22", "yymm": "1804", "arxiv_id": "1804.05354", "language": "en", "url": "https://arxiv.org/abs/1804.05354" }
\section{Introduction} This paper is devoted to the study of differential forms on Lie groupoids with coefficients. While multiplicative differential forms with values in representations of Lie groupoids have been treated in the literature, see e.g. \cite{CSS}, here we consider the broader context of forms with values ...
{ "timestamp": "2018-04-17T02:09:01", "yymm": "1804", "arxiv_id": "1804.05289", "language": "en", "url": "https://arxiv.org/abs/1804.05289" }
\section{Experiments} \label{sec:experiments} \subsection{Experimental Setting} \label{subsec:experiment-setup} \noindent\textbf{Datasets.} We experiment on the ImageNet VID dataset\footnote{\url{http://www.image-net.org/challenges/LSVRC/}}, a large-scale benchmark for video object detection, which contains 3862 tra...
{ "timestamp": "2018-04-17T02:12:53", "yymm": "1804", "arxiv_id": "1804.05472", "language": "en", "url": "https://arxiv.org/abs/1804.05472" }
\section{Introduction and results} The gauge/gravity duality \cite{Maldacena,Witten}, as the most concrete realization of holographic principle, has been of interest to physicist over the years \cite{Dine,Gross,Witten,Shuryak,Mojaza}. The basic idea is that a gravitational theory defined on a $d+1$ dimensional backgrou...
{ "timestamp": "2018-04-17T02:15:48", "yymm": "1804", "arxiv_id": "1804.05604", "language": "en", "url": "https://arxiv.org/abs/1804.05604" }
\subsection{Setup and notation} We set the stage for the proof by introducing some notation and definitions. Let $Y = (V,E)$ be an undirected graph, and let $\vec{E}$ be the set of directed edges associated with $E$, so that \[ \vec{E} = \{(u,v) : \{u,v\} \in E\}, \] and $|\vec{E}| = 2|E|$. To limit confusion, we ...
{ "timestamp": "2018-04-17T02:06:57", "yymm": "1804", "arxiv_id": "1804.05230", "language": "en", "url": "https://arxiv.org/abs/1804.05230" }
\section{Introduction} The task of \emph{cognate detection}, i.e., the search for genetically related words in different languages, has traditionally been regarded as a task that is barely automatable. During the last decades, however, automatic cognate detection approaches since \citet{Covington:96} have been constan...
{ "timestamp": "2018-04-17T02:11:50", "yymm": "1804", "arxiv_id": "1804.05416", "language": "en", "url": "https://arxiv.org/abs/1804.05416" }
\section{Introduction} Learning to translate between two image domains is a common problem in computer vision and graphics, and has many potentially useful applications including colorization \cite{pix2pix}, photo generation from sketches \cite{pix2pix}, inpainting \cite{inpainting}, future frame prediction \cite{frame...
{ "timestamp": "2018-04-17T02:12:46", "yymm": "1804", "arxiv_id": "1804.05470", "language": "en", "url": "https://arxiv.org/abs/1804.05470" }
\section{Introduction} Cataclysmic variables (CVs) are close binary systems in which a white dwarf (WD) primary accretes material from a late-type secondary star, via Roche-lobe overflow (see \citealt{warner95a} for a review). Non-magnetic CVs are classified into 3 main sub-types -- the novae, the dwarf novae and the ...
{ "timestamp": "2018-04-17T02:15:29", "yymm": "1804", "arxiv_id": "1804.05596", "language": "en", "url": "https://arxiv.org/abs/1804.05596" }
\section{Introduction} Recent coreference resolution systems have heavily relied on first order models~\cite{clark:2016b,e2e-coref}, where only pairs of entity mentions are scored by the model. These models are computationally efficient and scalable to long documents. However, because they make independent decisio...
{ "timestamp": "2018-04-17T02:11:28", "yymm": "1804", "arxiv_id": "1804.05392", "language": "en", "url": "https://arxiv.org/abs/1804.05392" }
\section{Introduction} To select a decent model, a physicist has to account for a multitude of experimental data sets registered during different beam conditions and in varying detector set-ups, exhibiting vastly different statistical and systematical errors. For believable testing of theoretical models, the system...
{ "timestamp": "2018-04-17T02:05:43", "yymm": "1804", "arxiv_id": "1804.05201", "language": "en", "url": "https://arxiv.org/abs/1804.05201" }
\section{Introduction} Melting of two-dimensional solids has been heavily discussed since it was proven that long-wavelength thermal fluctuations prevent the long-range positional order in 2D systems~\cite{Strandburg1988,Dash1999,Grasser2009}. A significant attempt to reach the general description of 2D melting was the...
{ "timestamp": "2019-05-29T02:09:02", "yymm": "1804", "arxiv_id": "1804.05582", "language": "en", "url": "https://arxiv.org/abs/1804.05582" }
\section{Introduction} With machine learning algorithms increasingly being deployed in real world settings, it is crucial that we understand how the algorithms can interact, and the dynamics that can arise from their interactions. In recent years, there has been a resurgence in research efforts on multi-agent learnin...
{ "timestamp": "2020-02-21T02:18:19", "yymm": "1804", "arxiv_id": "1804.05464", "language": "en", "url": "https://arxiv.org/abs/1804.05464" }
\section{INTRODUCTION} The development of device, sensing and communication technologies enables wide range of applications of wireless sensor networks. After the pioneering work on event-based sensor data scheduling proposed in~\cite{astrom2002comparison}, a variety of studies has been done to balance the estimation ...
{ "timestamp": "2020-01-10T02:10:02", "yymm": "1804", "arxiv_id": "1804.05618", "language": "en", "url": "https://arxiv.org/abs/1804.05618" }
\section{Introduction} When people listen to music, they can determine many features, such as genre and composer. The genre of music is easy to determine without previous knowledge, but not the composer, even if you have some knowledge. The difficulty depends on what should be estimated. There are some existing s...
{ "timestamp": "2018-04-17T02:13:05", "yymm": "1804", "arxiv_id": "1804.05486", "language": "en", "url": "https://arxiv.org/abs/1804.05486" }
\section{Introduction} The ZX-calculus \cite{CD1,CD2} is a universal graphical language for qubit theory, which comes equipped with simple rewriting rules that enable one to transform diagrams representing one quantum process into another quantum process. More broadly, it is part of categorical quantum mechanics wh...
{ "timestamp": "2018-06-13T02:13:26", "yymm": "1804", "arxiv_id": "1804.05356", "language": "en", "url": "https://arxiv.org/abs/1804.05356" }
\section{Introduction} Online retail is growing exponentially in recent years, among which the clothing shopping occupies a large proportion. Driven by the huge profit potential, intelligent clothing item retrieval is receiving a great deal of attention in the multimedia and computer vision literature. Meanwhile, onlin...
{ "timestamp": "2018-12-05T02:18:40", "yymm": "1804", "arxiv_id": "1804.05287", "language": "en", "url": "https://arxiv.org/abs/1804.05287" }
\section{Introduction} Mirror symmetry has made powerful and striking predictions in enumerative geometry. It has led to groundbreaking results in algebraic and differential geometry, number theory, gauge theory and other branches of mathematics. Strominger-Yau-Zaslow \cite{SYZ} proposed that mirror symmetry ...
{ "timestamp": "2019-09-04T02:30:44", "yymm": "1804", "arxiv_id": "1804.05506", "language": "en", "url": "https://arxiv.org/abs/1804.05506" }
\section{Introduction} With the advent of social media, irony and sarcasm detection has become an active area of research in Natural Language Processing (NLP) \cite{joshi2016automatic,riloff,joshi2015,ghosh2017role}. Most computational studies have focused on building state-of-the-art models to detect whether an utter...
{ "timestamp": "2018-04-17T02:07:47", "yymm": "1804", "arxiv_id": "1804.05253", "language": "en", "url": "https://arxiv.org/abs/1804.05253" }
\section{Introduction}Over the past two decades, there has been an explosion of interest in the properties of one-dimensional (1D) quantum gases with short-range interactions modelled by a Dirac $\delta$-potential. With the emergence of new technologies and experimental techniques, the properties of these systems, suc...
{ "timestamp": "2018-06-15T02:06:55", "yymm": "1804", "arxiv_id": "1804.05585", "language": "en", "url": "https://arxiv.org/abs/1804.05585" }
\section{Introduction and main results} \subsection{Introduction} The Beals criterion \cite{B} naturally characterizes pseudo-differential operators by their commutation properties with fundamental objects like multiplication and differentiation operators; the basics of Weyl pseudo-differential calculus can be fou...
{ "timestamp": "2018-07-03T02:05:30", "yymm": "1804", "arxiv_id": "1804.05220", "language": "en", "url": "https://arxiv.org/abs/1804.05220" }
\section{Introduction} Magnetism, ferroelectricity and superconductivity are some of the quantum phenomena that is manifested at the macroscopic scale and we experience in our real life. In strongly correlated electron systems, these properties arise because of the intricate coupling among the charge, spin, orbital and...
{ "timestamp": "2018-04-17T02:15:27", "yymm": "1804", "arxiv_id": "1804.05594", "language": "en", "url": "https://arxiv.org/abs/1804.05594" }
\section{Introduction} Fuzzy set theory, which was first initiated by Zadeh \cite{zadeh} in 1965, has become a very important tool to solve many complicated problems arising in the fields of economics, social sciences, engineering, medical sciences and so forth, involving uncertainties and provides an appropriate fram...
{ "timestamp": "2018-04-17T02:10:15", "yymm": "1804", "arxiv_id": "1804.05346", "language": "en", "url": "https://arxiv.org/abs/1804.05346" }
\section*{Introduction} The network of neurons in cerebral cortex displays rich and complex dynamics even when not engaged by any particular sensory or motor interaction with the external world \cite{fox2007, arieli1996}. From one point of view, such ongoing internal dynamics are thought to mediate memory consolida...
{ "timestamp": "2018-04-17T02:08:12", "yymm": "1804", "arxiv_id": "1804.05266", "language": "en", "url": "https://arxiv.org/abs/1804.05266" }
\section*{Introduction} \subsection{The GKZ hypergeometric system} Let $$A=\left(\begin{array}{ccc} w_{11}&\cdots&w_{1N}\\ \vdots&&\vdots\\ w_{n1}&\cdots&w_{nN}\end{array} \right)$$ be an $(n\times N)$-matrix of rank $n$ with integer entries. Denote the column vectors of $A$ by ${\mathbf w}_1,\ldots, {\mathbf w}_N\in ...
{ "timestamp": "2018-04-17T02:09:21", "yymm": "1804", "arxiv_id": "1804.05297", "language": "en", "url": "https://arxiv.org/abs/1804.05297" }
\section{Boltzmann's H-functional and (classical) entropy} Let $\Gamma$ be a phase space associated with a system. We fix a reference measure $\lambda$ on $\Gamma$, usually it will be the Lebesgue measure. A function $f$ such that $f \in \{ g; g \in L^1(\Gamma, d\lambda), g\geq 0, \int_{\Gamma} g d\lambda = 1 \}\equi...
{ "timestamp": "2018-08-28T02:11:02", "yymm": "1804", "arxiv_id": "1804.05579", "language": "en", "url": "https://arxiv.org/abs/1804.05579" }
\subsection{Please Capitalize the First Letter of Each Notional Word in Subsection Title} \section{Introduction} \label{sect:intro} The regions where high-mass stars and stellar clusters are born are highly turbulent and inhomogeneous (e.g., Tan et al. \cite{tan14}). An extent of turbulence is ...
{ "timestamp": "2018-04-17T02:15:36", "yymm": "1804", "arxiv_id": "1804.05600", "language": "en", "url": "https://arxiv.org/abs/1804.05600" }
\subsection{Accuracy results for context fixed- and floating-point} As shown in Table \ref{table:results_context}, the proposed $context$-$fixed[6,6]$ format completely introduces no degradation in accuracy; surprisingly, the $context$-$float[4,7]$ with stochastic rounding, with just 12 bits of representation, surpas...
{ "timestamp": "2018-04-17T02:08:13", "yymm": "1804", "arxiv_id": "1804.05267", "language": "en", "url": "https://arxiv.org/abs/1804.05267" }
\section{Introduction} The notion of {\sl non-tangential} limit is very important in geometric function theory. A sequence $\{z_n\}\subset \mathbb D:=\{z\in \mathbb C: |z|<1\}$ converges non-tangentially to a point $\sigma\in \partial \mathbb D$ if it converges to $\sigma$ and it is eventually contained in a Stolz re...
{ "timestamp": "2019-08-27T02:07:03", "yymm": "1804", "arxiv_id": "1804.05553", "language": "en", "url": "https://arxiv.org/abs/1804.05553" }
\section{Introduction} Let $\Omega\subset \mathbb{R}^N$ be a bounded domain with smooth boundary. An elementary result from the theory of ODEs establishes that if a smooth function $G:\overline\Omega\to \mathbb{R}^N$ is inwardly pointing over $\partial\Omega$, that is \begin{equation} \label{hart-weak} \langle G(x...
{ "timestamp": "2018-04-17T02:16:03", "yymm": "1804", "arxiv_id": "1804.05616", "language": "en", "url": "https://arxiv.org/abs/1804.05616" }
\section{\newpage\stdsection} \usepackage{soul} \usepackage{xcolor} \definecolor{Light}{gray}{.95} \sethlcolor{Light} \let\OldTexttt\texttt \renewcommand{\texttt}[1]{\OldTexttt{\hl{#1}}} \algdef{SE}[DOWHILE]{Do}{doWhile}{\algorithmicdo}[1]{\algorithmicwhile\ #1}% \begin{document} \maketitle \newpage \textbf{Ackn...
{ "timestamp": "2018-04-17T02:15:25", "yymm": "1804", "arxiv_id": "1804.05589", "language": "en", "url": "https://arxiv.org/abs/1804.05589" }
\section{Introduction} \label{sec:intro} While the photon structure and it properties in the high energy regime are investigated mainly using the data from man-made accelerators, one should remain aware of the scientific potential of astrophysical studies: gamma-ray astronomy and ultra-high energy cosmic ray (UHECR) ...
{ "timestamp": "2018-04-17T02:16:02", "yymm": "1804", "arxiv_id": "1804.05614", "language": "en", "url": "https://arxiv.org/abs/1804.05614" }
\section{Introduction} Our Universe overwhelms us with richness of structure and complexity. In order to grasp its governing processes, one has to focus on one single aspect. Unfortunately most observations are sensitive to a large variety of phenomena. Their accurate separation into distinct components is critical, as...
{ "timestamp": "2018-08-07T02:19:42", "yymm": "1804", "arxiv_id": "1804.05591", "language": "en", "url": "https://arxiv.org/abs/1804.05591" }
\section{Introduction} Weil gave the relation between the value of Eisenstein series and integral of theta function in the paper \cite{Weil2}, which is called the Siegel-Weil formula. It plays a very important role in number theory and arithmetic geometry. In this paper, we mainly study the arithmetic and geome...
{ "timestamp": "2018-05-18T02:04:12", "yymm": "1804", "arxiv_id": "1804.05247", "language": "en", "url": "https://arxiv.org/abs/1804.05247" }
\section{Introduction} The cosmic rays with energy around the Greisen-Zatsepin-Kuzmin (GZK) cutoff ($\sim 50~{\rm EeV}$) would be strongly suppressed due to the interactions with the cosmic microwave background \cite{Greisen:1966jv, Zatsepin:1966jv}, i.e., $p+\gamma_{\rm CMB} \rightarrow p~({\rm or}~n)+{\rm \bf n} \pi$...
{ "timestamp": "2018-04-17T02:10:38", "yymm": "1804", "arxiv_id": "1804.05362", "language": "en", "url": "https://arxiv.org/abs/1804.05362" }
\section{Introduction} To define a summoning task\cite{kent2013no,kent2012quantum}, we consider two parties, Alice and Bob, who each have networks of collaborating agents occupying non-overlapping secure sites throughout space-time. At some point $P$, Bob's local agent gives Alice's local agent a state $\ket{\psi}$. ...
{ "timestamp": "2019-05-27T02:16:42", "yymm": "1804", "arxiv_id": "1804.05246", "language": "en", "url": "https://arxiv.org/abs/1804.05246" }
\section{I Introduction} Quasiparticle approach is part of the efforts to understand the physics of the quark-hadron transition characterized by a dramatic change in the number of degrees of freedom where nonperturbative effects are dominant. The model provides a reasonable, as well as phenomenological, description...
{ "timestamp": "2019-07-24T02:03:35", "yymm": "1804", "arxiv_id": "1804.05376", "language": "en", "url": "https://arxiv.org/abs/1804.05376" }
\section{Introduction}\label{Intro} Unmanned aerial vehicles (UAVs) will be ubiquitous and will play a vital role in various sectors ranging from medical and agricultural to surveillance and public safety. Providing connectivity to UAVs is crucial for data collection and dissemination in such applications. Unlike curre...
{ "timestamp": "2018-12-03T02:04:34", "yymm": "1804", "arxiv_id": "1804.05348", "language": "en", "url": "https://arxiv.org/abs/1804.05348" }
\section{Introduction} In 1776, Euler (\cite{Euler}) considered certain power series, the so-called double zeta values, and showed several relations among them. More than 200 years later, the {\it multiple zeta value} (MZV for short) which is more general series $$\zeta(k_1, \dots, k_r) := \sum_{0<m_1<\cdots<m_r}\f...
{ "timestamp": "2020-02-26T02:13:28", "yymm": "1804", "arxiv_id": "1804.05568", "language": "en", "url": "https://arxiv.org/abs/1804.05568" }
\section{Introduction} Exotic hadrons have been proposed to be important probes in understanding the fundamentals of the strong interaction in hadron physics \cite{Jaffe:1976ig,Jaffe:1976ih}. The excitement in the subject has restarted from the observation of $D_{sJ}(2317)$ \cite{exp1} and $X(3872)$ \cite{exp2}, whose...
{ "timestamp": "2018-04-17T02:10:08", "yymm": "1804", "arxiv_id": "1804.05336", "language": "en", "url": "https://arxiv.org/abs/1804.05336" }
\section*{Abstract} In this work we find that the at the high polar magnetic fields of magnetars, $B \sim 10^{14-15}$ G, the outermost crust ($\rho < 10^7$ gm/cc) of the star can become a transverse insulator and a filamentary crystal along the field direction. Also, the transverse conductivity in the crust goes i...
{ "timestamp": "2019-05-28T02:20:01", "yymm": "1804", "arxiv_id": "1804.05343", "language": "en", "url": "https://arxiv.org/abs/1804.05343" }
\section*{Abstract} Mendelian randomization uses genetic variants to make causal inferences about a modifiable exposure. Subject to a genetic variant satisfying the instrumental variable assumptions, an association between the variant and outcome implies a causal effect of the exposure on the outcome. Complications ari...
{ "timestamp": "2018-04-17T02:14:19", "yymm": "1804", "arxiv_id": "1804.05545", "language": "en", "url": "https://arxiv.org/abs/1804.05545" }
\section{Introduction} Graph eigenvalues play a powerful role in the study of random walks. In particular, eigenvalues are a primary tool for bounding a number of key random walk parameters, such as mixing time. Consequently, bounds on graph eigenvalues are not only of interest in themselves, but also may have immedia...
{ "timestamp": "2018-07-12T02:00:56", "yymm": "1804", "arxiv_id": "1804.05500", "language": "en", "url": "https://arxiv.org/abs/1804.05500" }
\section{Introduction} \label{sec:intro} Short-texts are abundant on the Web and appear in various different formats. For example, in Twitter, users are constrained to a $140$ character upper limit when posting their tweets~\cite{Kwak:WWW:2010}. Even when there are no strict upper limits, users tend to provide brief...
{ "timestamp": "2018-04-17T02:07:59", "yymm": "1804", "arxiv_id": "1804.05260", "language": "en", "url": "https://arxiv.org/abs/1804.05260" }
\section{Introduction} Let $X$ be a smooth projective variety defined over an algebraically closed field $k$ of arbitrary characteristic. In his epoch-making paper (see \cite{mori}), Shigefumi Mori established the following famous cone theorem \[ \overline\NE(X)=\overline\NE(X)_{K_X\geq 0}+\sum R_j, \] where $\ov...
{ "timestamp": "2018-08-20T02:10:48", "yymm": "1804", "arxiv_id": "1804.05302", "language": "en", "url": "https://arxiv.org/abs/1804.05302" }
\section{Introduction} Let $n \geq 2$. The \emph{twin group on $n$ arcs}, denoted by $TW_n$, is generated by a set of $(n-1)$ generators: $\{ \tau_i \ | \ i=1, 2, \ldots, n-1\}$ satisfying the following set of defining relations: \begin{equation}\tau_i^2=1, \ \hbox{ for all } i, \end{equation} \begin{equation}\tau_i ...
{ "timestamp": "2018-05-07T02:05:30", "yymm": "1804", "arxiv_id": "1804.05375", "language": "en", "url": "https://arxiv.org/abs/1804.05375" }
\section{Introduction} The shapes and dynamics of polyampholytes (PAs), which are polymers with monomers that carry both positive and negative charges, have been extensively studied \cite{Edwards80Ferroelectrics,Higgs91JCP,Srivastava96Mac,Barrat07ACP,Borukhov98EPJB,Dobrynin95JPF,Dobrynin04JPS,Lee00JCP}. Polyampholytes ...
{ "timestamp": "2018-06-18T02:03:18", "yymm": "1804", "arxiv_id": "1804.05609", "language": "en", "url": "https://arxiv.org/abs/1804.05609" }
\section{Introduction} On the Internet, each message is split into several packets. We regard the packets which are not correctly received as erased. Hence, the Internet is modeled as a packet erasure channel. The sender cannot retransmit packets in the case of user datagram protocol (UDP). Fountain codes \cite{Fount...
{ "timestamp": "2018-04-17T02:14:17", "yymm": "1804", "arxiv_id": "1804.05543", "language": "en", "url": "https://arxiv.org/abs/1804.05543" }
\section{Introduction} Flow control is one of the central topics in fluid mechanics with an enormous impact on other fields of engineering and applied science. Its wide range of applications includes, just to name a few, reduction of aerodynamic drag on vehicles and aircrafts, mixing enhancement in combustion and chemi...
{ "timestamp": "2018-06-08T02:04:46", "yymm": "1804", "arxiv_id": "1804.05291", "language": "en", "url": "https://arxiv.org/abs/1804.05291" }
\section{Introduction} Molecular communication (MC) systems encode information into the characteristics of signaling molecules. This is very different from conventional electromagnetic- (EM-) based communication systems that embed data into the properties of EM waves \cite{Nakano_Molecular_2013,Farsad_comprehensiv...
{ "timestamp": "2018-04-17T02:14:36", "yymm": "1804", "arxiv_id": "1804.05555", "language": "en", "url": "https://arxiv.org/abs/1804.05555" }
\section{Introduction} In many scientific investigations, effect modification discovery is a major goal. For example, in precision medicine research, recommending an appropriate treatment among many existing choices is a central question. Based on patient's characteristics, such recommendation amounts to estimating tr...
{ "timestamp": "2018-04-17T02:11:02", "yymm": "1804", "arxiv_id": "1804.05373", "language": "en", "url": "https://arxiv.org/abs/1804.05373" }
\section{Introduction} \label{sec:intro} So far, photon structure is most efficiently studied with the accelerator instruments, where available energies reach TeV. There is, however, some potential in exploring the cosmogenic photons as well. Despite the cosmic photon fluxes being extremely low in comparison to accel...
{ "timestamp": "2018-05-08T02:15:13", "yymm": "1804", "arxiv_id": "1804.05613", "language": "en", "url": "https://arxiv.org/abs/1804.05613" }
\section{Introduction} Conformal predictors are confidence predictors that result in prediction sets for all confidence levels. Thus, Conformal Prediction (CP) is a framework that complements the predictions of machine learning algorithms with reliable measures of confidence. Transductive Conformal Prediction (TCP) w...
{ "timestamp": "2018-04-17T02:13:22", "yymm": "1804", "arxiv_id": "1804.05494", "language": "en", "url": "https://arxiv.org/abs/1804.05494" }
\section{Introduction} We consider the stochastic convex optimization problem \begin{align}\label{main problem} \min_{x\in \mathbb{R}^n} \ f(x)\triangleq \mathbb{E}[\aj{F(x,\xi(\omega))}], \end{align} where $ \aj{\xi}: \Omega \rightarrow \mathbb{R}^o$, ${F}: \mathbb{R}^n \times \mathbb{R}^o \rightarrow \mathbb{R}$, ...
{ "timestamp": "2019-10-01T02:22:02", "yymm": "1804", "arxiv_id": "1804.05368", "language": "en", "url": "https://arxiv.org/abs/1804.05368" }
\section{Introduction} \label{sec:intro} A statistical test for two composite hypotheses is called minimax optimal if it minimizes the maximum risk over the two corresponding sets of feasible distributions. In the context of robust statistics, these sets are referred to as \emph{uncertainty sets}. In contrast to adapt...
{ "timestamp": "2018-04-17T02:16:22", "yymm": "1804", "arxiv_id": "1804.05632", "language": "en", "url": "https://arxiv.org/abs/1804.05632" }
\section{Introduction} \label{intro} The existence of non-Fourier heat conduction under various conditions is experimentally proved in several different ways. First, the Maxwell-Cattaneo-Vernotte equation (MCV) \cite{Max1867, Cattaneo58, Vernotte58}, \begin{equation} \tau_q \partial_{tt} T + \partial_t T = \alpha \par...
{ "timestamp": "2018-04-17T02:06:39", "yymm": "1804", "arxiv_id": "1804.05225", "language": "en", "url": "https://arxiv.org/abs/1804.05225" }
\section{Introduction} Disc self-gravity (SG) can play a crucial role in the dynamics of accretion discs in AGN discs or early stage protoplanetary (PP) discs; it can allow an outward transfer of angular momentum or result in disc fragmentation, a process which has been linked with the formation of stellar/sub-stellar ...
{ "timestamp": "2018-04-17T02:06:18", "yymm": "1804", "arxiv_id": "1804.05215", "language": "en", "url": "https://arxiv.org/abs/1804.05215" }
\section{Introduction} \label{sec:intro} Top quark pair production is one of the most important processes at the Large Hadron Collider (LHC). The total cross section at $\sqrt{s} = \unit{13}{\TeV}$ is about $\unit{800}{\picobarn}$. Both the ATLAS and the CMS experiments have collected nearly $\unit{100}{\invfb}$ of in...
{ "timestamp": "2018-06-01T02:04:26", "yymm": "1804", "arxiv_id": "1804.05218", "language": "en", "url": "https://arxiv.org/abs/1804.05218" }
\section{Introduction} As part of the proof of his eponymous theorem~\cite{Szemeredi75} on arithmetic progressions in dense sets of integers, Szemer\'edi developed (a variant of what is now known as) the graph {\em regularity lemma}~\cite{Szemeredi78}. The lemma roughly states that the vertex set of every graph can...
{ "timestamp": "2019-07-19T02:09:59", "yymm": "1804", "arxiv_id": "1804.05511", "language": "en", "url": "https://arxiv.org/abs/1804.05511" }
\section{Conclusion} \label{sec:conc} This paper successfully demonstrated the advantages of integrating direct and feature-based methods in VO. By relying on a feature based map when direct tracking fails, the issue of large baselines that is characteristic of direct methods is mitigated, while maintaining the high ac...
{ "timestamp": "2018-04-17T02:11:55", "yymm": "1804", "arxiv_id": "1804.05422", "language": "en", "url": "https://arxiv.org/abs/1804.05422" }
\section{Introduction} A homogeneous ideal $I\subset R=\K[\P^N]$ in the ring of polynomials with coefficients in a field $\K$, decomposes as the direct sum of graded parts $I=\oplus_{t\geq 0}I_t$. For a nontrivial homogeneous ideal $I$ in $\K[\P^N]$, the \emph{initial degree} $\alpha(I)$ of $I$ is t...
{ "timestamp": "2018-04-17T02:11:48", "yymm": "1804", "arxiv_id": "1804.05415", "language": "en", "url": "https://arxiv.org/abs/1804.05415" }
\section{Introduction} Quantum gravity is elusive not mainly because we lack computational tools, but because we do not know {\it what} to compute and so how to define the theory for a generic spacetime. One possible exception and a promising path is the case of asymptotically anti-de Sitter (AdS) spacetimes for which ...
{ "timestamp": "2018-06-14T02:12:04", "yymm": "1804", "arxiv_id": "1804.05602", "language": "en", "url": "https://arxiv.org/abs/1804.05602" }
\section{Introduction}\label{sec:intro} The success of automatic image captioning \cite{farhadi2010every,mitchell2012midge,karpathy2015deep,vinyals2015show} demonstrates compellingly that end-to-end statistical models can align visual information with language. However, high-quality captions are not merely \emph{true}...
{ "timestamp": "2018-05-11T02:10:43", "yymm": "1804", "arxiv_id": "1804.05417", "language": "en", "url": "https://arxiv.org/abs/1804.05417" }
\section{Presentation of the results} Our first result is a multidimensional generalization of the well-known convolution identity $$\sum_{n \leqslant x} \mu(n) \left \lfloor \frac{x}{n} \right \rfloor = 1.$$ \begin{theorem} \label{th:id1} Let $r \in \mathbb{Z}_{\geqslant 2}$. For any real number $x \geqslant 1$ $$\s...
{ "timestamp": "2018-04-18T02:06:37", "yymm": "1804", "arxiv_id": "1804.05332", "language": "en", "url": "https://arxiv.org/abs/1804.05332" }
\section{Introduction} Topologically ordered phases, which appear e.g. in fractional quantum Hall systems~\cite{PhysRevB.40.7387,PhysRevB.41.9377} and in quantum spin liquids~\cite{Kitaev2003a,PhysRevB.71.045110}, are quantum phases in gapped systems which go beyond the conventional paradigm of symmetry-breaking. Syst...
{ "timestamp": "2019-04-26T02:03:52", "yymm": "1804", "arxiv_id": "1804.05457", "language": "en", "url": "https://arxiv.org/abs/1804.05457" }
\section{Introduction} Identifying the covariance of a centred random vector using random data is of central importance in high-dimensional statistics and has been studied extensively in recent years. The hope is that by using a relatively small sample $X_1,...,X_N$ of independent random vectors distributed as $X$, on...
{ "timestamp": "2018-04-17T02:11:34", "yymm": "1804", "arxiv_id": "1804.05402", "language": "en", "url": "https://arxiv.org/abs/1804.05402" }
\section{Introduction} \label{sec:Introduction} Predicting the wear out of components is pivotal in various domains such as the automotive, health and aerospace industries~\cite{allred1998prognostic,ReussSAHH18,DBLP:conf/pkdd/ShekarBSSM17}. Robust and accurate predictions have a great potential for preventing unan...
{ "timestamp": "2018-04-17T02:14:19", "yymm": "1804", "arxiv_id": "1804.05544", "language": "en", "url": "https://arxiv.org/abs/1804.05544" }
\section{Introduction} The study of ensembles of self-sustained (autonomous) oscillators is relevant for many setups in physics (Josephson junction and spin-torque oscillator arrays~\cite{Benz-Burroughs-91,*Pikovsky-13,*Turtle_etal-17}), engineering (stability of pedestrian bridges, coupled electronic oscillators, pow...
{ "timestamp": "2018-05-29T02:15:57", "yymm": "1804", "arxiv_id": "1804.05326", "language": "en", "url": "https://arxiv.org/abs/1804.05326" }
\section{Introduction} Cooperative game theory~\cite{chalkiadakis2011} provides a rich framework for the coordination of the actions of self-interested agents. Despite the maturity of the related literature, it is usually assumed that an agent can be a member of exactly one coalition. Nevertheless, in many real-worl...
{ "timestamp": "2018-04-17T02:07:04", "yymm": "1804", "arxiv_id": "1804.05235", "language": "en", "url": "https://arxiv.org/abs/1804.05235" }
\section{Introduction}\label{sec:introduction} Never-Ending Language Learning (NELL)~\cite{carlson_coupling_2009,mitchell_never-ending_2015} is an autonomous computational system that aims at continually and incrementally learning. NELL has been running for about 7 years in Carnegie Mellon University (US). Currently, ...
{ "timestamp": "2018-04-17T02:16:29", "yymm": "1804", "arxiv_id": "1804.05639", "language": "en", "url": "https://arxiv.org/abs/1804.05639" }
\section{Introduction} North Polar Spur is the second largest structure in the sky that extends from Galactic longitude $l \approx 20^\circ$ to $-30^\circ$ and Galactic latitude $b \approx 10^\circ-70^\circ$ in the form of an arc with a thickness of $\sim 15^\circ$. This is encircled by another structure called the Loo...
{ "timestamp": "2018-10-30T01:26:30", "yymm": "1804", "arxiv_id": "1804.05634", "language": "en", "url": "https://arxiv.org/abs/1804.05634" }
\section{Introduction} We consider a family of Hamiltonians on $\mathcal{H}=L^2(\mathbf{R})$ given as \begin{equation}\label{model} H_0^{\varepsilon}=-\frac{d^2}{dx^2}+\varepsilon x, \quad H^{\varepsilon}=H_0^{\varepsilon}+V, \quad \varepsilon\in[0,\infty), \end{equation} where $V$ is a bounded self-adjoint operator. ...
{ "timestamp": "2018-04-17T02:16:08", "yymm": "1804", "arxiv_id": "1804.05620", "language": "en", "url": "https://arxiv.org/abs/1804.05620" }
\section{Introduction} The low solar atmosphere host numerous small-scale events related to magnetic reconnection \cite{2015ApJ...798L..11Y, 2016NatCo...711837X, 2017ApJ...836...52Z}. These events have been observed by both ground based solar telescopes [e.g. the \emph{Swedish Solar Telescope}(SST), the \emph{New Vacuu...
{ "timestamp": "2018-10-26T02:13:11", "yymm": "1804", "arxiv_id": "1804.05631", "language": "en", "url": "https://arxiv.org/abs/1804.05631" }
\section{Introduction} A remarkable theorem due to Freed, Hopkins and Teleman \cite{FHTI,FHTII,FHTIII} relates the representation theory of the loop group $LG$ of a compact Lie group $G$ to the equivariant twisted K-theory of $G$. In the special case of a connected, simply connected and simple Lie group, the theorem s...
{ "timestamp": "2019-07-03T02:19:41", "yymm": "1804", "arxiv_id": "1804.05213", "language": "en", "url": "https://arxiv.org/abs/1804.05213" }
\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\bfseries\centering}} } \titl {Renewal theory for asymmetric $U$-statistics} \date{14 April, 2018} \author{Svante Janson} \thanks{Partly supported by the Knut and Alice Wallenberg Foundation} \address{Departme...
{ "timestamp": "2018-04-17T02:13:49", "yymm": "1804", "arxiv_id": "1804.05509", "language": "en", "url": "https://arxiv.org/abs/1804.05509" }
\section{Introduction} The phenomenon of field reversals occurs commonly in nature, e.g., the polarity of geomagnetic field reverses over a period of several thousand years~\cite{Glatzmaier:NATURE1995}, whereas the large-scale magnetic field in the Sun reverses approximately every 11 years~\cite{Hanasoge:ARFM2016}. Fl...
{ "timestamp": "2018-08-30T02:12:13", "yymm": "1804", "arxiv_id": "1804.05194", "language": "en", "url": "https://arxiv.org/abs/1804.05194" }
\section{Introduction} Let $(V,\gen{\blk,\blk})$ be a complex Hilbert space, $\End V$ the set of bounded linear operators on $V$, and $\End^+V$ the set of all positive invertible elements of $\End V$. Let $\overline{M}$ be a compact Riemann surface with boundary ($\partial M$ is automatically a real analytic manifold b...
{ "timestamp": "2018-04-17T02:08:47", "yymm": "1804", "arxiv_id": "1804.05278", "language": "en", "url": "https://arxiv.org/abs/1804.05278" }
\section{Introduction} \rev{ Consider the quadratic optimization problem with indicator variables \[ \text{(QOI)} \ \ \ \min \bigg \{ a'x + b'y + y'Ay \ : \ (x,y) \in C, \ 0 \le y \le x, \ x \in \{0,1\}^N \bigg \}, \] where $N=\{1,\ldots,n\}$, $a$ and $b$ are $n$-vectors, $A$ is an $n \times n$ symmetric matrix and $C...
{ "timestamp": "2018-04-17T02:08:54", "yymm": "1804", "arxiv_id": "1804.05284", "language": "en", "url": "https://arxiv.org/abs/1804.05284" }
\section{Introduction} Cognitive radio (CR) is an important technology to maximize radio spectrum utilization efficiency\cite{819467}\nocite{4840529}-\cite{1391031}. In CR systems, the secondary network is allowed to share the spectrum allocated to the primary network provided that the interference caused by the secon...
{ "timestamp": "2018-06-29T02:11:44", "yymm": "1804", "arxiv_id": "1804.05257", "language": "en", "url": "https://arxiv.org/abs/1804.05257" }
\section{Conclusion and future work} We have presented a novel method to model flames from multi-view images. Our system can generate physically-based models, it estimates plausible camera exposure, 3D volumetric temperature and density fields from input images. We allow artists to seamlessly insert flames as seen i...
{ "timestamp": "2018-04-17T02:08:00", "yymm": "1804", "arxiv_id": "1804.05261", "language": "en", "url": "https://arxiv.org/abs/1804.05261" }
\section{INTRODUCTION} Let $R$ be a cyclically reduced word which is not a proper power and has length at least two in the free group $F = F(X)$. In \cite{We1}, Weinbaum showed that some cyclic conjugate of $R$ has a decomposition of the form $UV$, where $U$ and $V$ are non-empty cyclic subwords of $R$, each of which...
{ "timestamp": "2018-04-17T02:09:52", "yymm": "1804", "arxiv_id": "1804.05325", "language": "en", "url": "https://arxiv.org/abs/1804.05325" }
\section{Appendix} \begin{table}[!hbt] \centering \caption{Test errors (MAE)} \begin{tabular}{|c|c|c|c|c|c|} \hline Dataset & RF & XGT & DUAL & RETAIN & MV-LSTM \\ \hline PM2.5& $0.433 \pm 0.011$& $0.302 \pm 0.012$& $0.248 \pm 0.003$& $0.943 \pm 0.018$ &$0.227 \pm 0.002$\\ ENERGY& $0.404 \p...
{ "timestamp": "2018-04-17T02:07:46", "yymm": "1804", "arxiv_id": "1804.05251", "language": "en", "url": "https://arxiv.org/abs/1804.05251" }
\section{Introduction} Minimal energy configurations have wide ranging applications in various scientific fields such as cryptography, crystallography, viral morphology, as well as in finite element modeling, radial basis functions, and Quasi-Monte-Carlo methods for graphics applications. For a fixed dimension and car...
{ "timestamp": "2018-04-17T02:07:09", "yymm": "1804", "arxiv_id": "1804.05237", "language": "en", "url": "https://arxiv.org/abs/1804.05237" }
\section{\label{sec:1}Introduction} In a superfluid with internal degrees of freedom such as superfluid helium-$3$ and spinor Bose-Einstein condensates (BECs), supercurrents are accompanied by spatio-temporal variations of spin and nematicity as well as the U($1$) phase~\cite{Salomaa1,Salomaa2}. Here, the rotation of ...
{ "timestamp": "2018-04-17T02:13:56", "yymm": "1804", "arxiv_id": "1804.05518", "language": "en", "url": "https://arxiv.org/abs/1804.05518" }
\section*{Guide to using this template on Overleaf} Please note that whilst this template provides a preview of the typeset manuscript for submission, to help in this preparation, it will not necessarily be the final publication layout. For more detailed information please see the \href{http://www.pnas.org/site/author...
{ "timestamp": "2019-04-16T02:28:44", "yymm": "1804", "arxiv_id": "1804.05400", "language": "en", "url": "https://arxiv.org/abs/1804.05400" }
\section{Introduction} \label{intro} The paper is organized as follows. In the current section we introduce necessary notation and state our main result (Theorem~\ref{Th:irred1}). Its proof is in Section~3. Then, in Section~4, we introduce the notion of the logarithmic contact of irreducible Weierstrass polynomials...
{ "timestamp": "2018-04-17T02:10:55", "yymm": "1804", "arxiv_id": "1804.05366", "language": "en", "url": "https://arxiv.org/abs/1804.05366" }
\section{Introduction} Electrides are a special type of ionic crystals. In these fascinating materials the electrons, trapped in cavity, are the anions. Due to this characteristic feature, many possibly useful properties are realized such as high magnetic susceptibility, low work-function, and strong reducing charac...
{ "timestamp": "2018-06-12T02:13:01", "yymm": "1804", "arxiv_id": "1804.05244", "language": "en", "url": "https://arxiv.org/abs/1804.05244" }
\section{Introduction} The electric dipole moments (EDMs) of atoms due to violations of time-reversal (T) and parity (P) symmetries are among the leading table-top probes of physics beyond the Standard Model of particle interactions \cite{S.M.Barr, M. Pospelov} and they are sensitive to new physics at the TeV scale \c...
{ "timestamp": "2018-04-17T02:14:23", "yymm": "1804", "arxiv_id": "1804.05547", "language": "en", "url": "https://arxiv.org/abs/1804.05547" }
\section*{Acknowledgments} This research was supported in part by the National Science Foundation award IIS-1723943. We thank Brandon Araki and Kiran Vodrahalli for valuable discussions and helpful suggestions. We would also like to thank Kasper Green Larsen, Alexander Mathiasen, and Allan Gronlund for pointing out a...
{ "timestamp": "2019-05-21T02:05:30", "yymm": "1804", "arxiv_id": "1804.05345", "language": "en", "url": "https://arxiv.org/abs/1804.05345" }
\section{Introduction} Evolutionary algorithms, which employ evaluation of multiple candidate solutions simultaneously and independently, are often seen as a natural choice for solving search and optimization problems in parallel and distributed environments. However, most evolutionary algorithms have two interleavi...
{ "timestamp": "2018-04-17T02:06:09", "yymm": "1804", "arxiv_id": "1804.05208", "language": "en", "url": "https://arxiv.org/abs/1804.05208" }
\section{Topology of $\VV(X)$ and $L(X)$} Following \cite{GM}, the {\em free topological vector space} $\VV(X)$ over a Tychonoff space $X$ is a pair consisting of a topological vector space $\VV(X)$ and a continuous map $i=i_X: X\to \VV(X)$ such that every continuous map $f$ from $X$ to a topological vector space ...
{ "timestamp": "2018-04-17T02:05:38", "yymm": "1804", "arxiv_id": "1804.05199", "language": "en", "url": "https://arxiv.org/abs/1804.05199" }
\section{Introduction} \label{intro} Majorana states in Condensed Matter have been a hot topic for a few years now \cite{Nayak,Qi,Alicea,StanescuREV,Beenakker,Franz,Elliott,Aguado,Lutrev,Lutchyn,Oreg}. Different experiments have been carried out in order to demonstrate the actual existence of such topological states. ...
{ "timestamp": "2018-04-17T02:15:26", "yymm": "1804", "arxiv_id": "1804.05593", "language": "en", "url": "https://arxiv.org/abs/1804.05593" }
\section{Introduction} The classification of observed galaxies into distinct types has a long history \citep{Sandage:1961}. It is much more than an abstract taxonomic exercise with many implications for studies of poorly understood physical phenomena. Two notorious examples are: the relation between supermassive bla...
{ "timestamp": "2018-04-25T02:00:33", "yymm": "1804", "arxiv_id": "1804.05576", "language": "en", "url": "https://arxiv.org/abs/1804.05576" }
\section{Introduction} The reproducing kernel Hilbert space ${\mathcal F}_1$ of entire functions with reproducing kernel $e^{z\overline{w}}$ is associated with the names of Bargmann, Segal and Fock, and will be called in this paper the Fock space (more precisely, it is the symmetric Fock space associated with $\...
{ "timestamp": "2018-05-31T02:04:17", "yymm": "1804", "arxiv_id": "1804.05254", "language": "en", "url": "https://arxiv.org/abs/1804.05254" }
\subsection{Algorithms for Computing and Updating Scores} In this section we give the details of our algorithms for computing initial scores (Algorithm~\ref{algCS}) and for updating these scores values once a blocker vertex $c$ is selected and added to the blocker set $Q$ (Algorithms~\ref{algAnc}-\ref{algAU}). \begi...
{ "timestamp": "2018-04-17T02:12:10", "yymm": "1804", "arxiv_id": "1804.05441", "language": "en", "url": "https://arxiv.org/abs/1804.05441" }
\section{Introduction} This article studies how the sum of scalar independent random variables can deviate from its expected value. It extends previous bounds from Hoeffding \cite{Hoe63} which exploited information about the range of each random variable. It also outperforms previous bounds from Bennett \cite{Be...
{ "timestamp": "2018-04-17T02:12:25", "yymm": "1804", "arxiv_id": "1804.05454", "language": "en", "url": "https://arxiv.org/abs/1804.05454" }
\section{Introduction} The high energy physicists have been looking for physics beyond the standard model (SM) for some decades. This research has recently received a new impulse from the Higgs discovery\cite{cms,atl} and from the data of the semi-leptonic decays $B \to D^{(*)} \tau \nu_{\tau}$[3-8] and $B\to K^*\ell^...
{ "timestamp": "2018-10-05T02:13:25", "yymm": "1804", "arxiv_id": "1804.05592", "language": "en", "url": "https://arxiv.org/abs/1804.05592" }
\subsection{Kruskal Coordinate} We will derive the formula of butterfly velocity in the following anisotropic background: \begin{eqnarray} ds^2&=&-a(r)f(r)dt^2+{dr^2\over b(r)f(r)}+\sum_{S=1}^n h^{(S)}(r)\,\bar g^{(S)}_{ij}(x)\,dx_{(S)}^idx_{(S)}^j \end{eqnarray} The horizon locates at $r=r_H$ then $f(r_H)=0$ while $a(...
{ "timestamp": "2018-08-06T02:04:56", "yymm": "1804", "arxiv_id": "1804.05527", "language": "en", "url": "https://arxiv.org/abs/1804.05527" }
\section{Introduction} \label{introduction} Measurements of vector boson production in association with jets provide fundamental tests of quantum chromodynamics (QCD). The high centre-of-mass energy at the CERN LHC allows the production of an electroweak boson along with a large number of jets with large transverse m...
{ "timestamp": "2018-12-03T02:04:15", "yymm": "1804", "arxiv_id": "1804.05252", "language": "en", "url": "https://arxiv.org/abs/1804.05252" }