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\section{Introduction}
A fundamental principle of the quantum theory is that, while the underlying
wave function may be complex, eigenvalues of energy and other physically
relevant quantities must be real, which is provided by the condition that
the respective Hamiltonian is self-conjugate (Hermitian) \cite{qm}. On th... | {
"timestamp": "2018-02-27T02:03:22",
"yymm": "1802",
"arxiv_id": "1802.08783",
"language": "en",
"url": "https://arxiv.org/abs/1802.08783"
} |
\section*{Introduction}
Bound quiver algebras of finite connected quivers
strongly influence research on representation theory of Artin algebras.
Gabriel found
a correspondence between
finite dimensional algebras
and
linear representations of bound quivers
(\cite{G}, \cite[II]{ASS}),
so
it follows that s... | {
"timestamp": "2018-02-27T02:05:33",
"yymm": "1802",
"arxiv_id": "1802.08836",
"language": "en",
"url": "https://arxiv.org/abs/1802.08836"
} |
\section{Introduction}
The spectrum of triply-ionized tin (Sn$^{3+}$) was first observed by Rao nearly a century ago \cite{Rao1926}. Accurate estimations of transition lines of Sn IV have astrophysical interest since their detection in the stellar medium \cite{O'Toole2004, Chayer2005}. Using the Hubble's Space
Telescop... | {
"timestamp": "2018-02-27T02:07:35",
"yymm": "1802",
"arxiv_id": "1802.08893",
"language": "en",
"url": "https://arxiv.org/abs/1802.08893"
} |
\section{Background}
\label{sec:background}
When it comes to malware detection, anti-virus software has long been the first line of defense. However, for almost as long as AV engines have been around, they have been recognized to be far from perfect, in terms of their false negative rates~\cite{tenable, gashi2009expe... | {
"timestamp": "2018-08-10T02:04:49",
"yymm": "1802",
"arxiv_id": "1802.08915",
"language": "en",
"url": "https://arxiv.org/abs/1802.08915"
} |
\section{Introduction}
\label{sec:intro}
The goal of DARPA's Low Resource Languages for Emergent Incidents program (LORELEI) is the rapid development of human language technologies for low-resource languages, specifically in support of situational awareness for emergent missions such as humanitarian assistance, disast... | {
"timestamp": "2018-06-20T02:01:59",
"yymm": "1802",
"arxiv_id": "1802.08731",
"language": "en",
"url": "https://arxiv.org/abs/1802.08731"
} |
\section{Introduction} \label{sec:intro}
Jupiter-family Comet D/1770 L1 (Lexell) was the first known Near-Earth Object (NEO)\footnote{The first observed NEO known to date is Comet 1P/Halley, recorded by Chinese chroniclers in 240~BC \citep[e.g.][]{Stephenson1985}.}. Found by Charles Messier \citep{Messier1776} and nam... | {
"timestamp": "2018-02-28T02:06:07",
"yymm": "1802",
"arxiv_id": "1802.08904",
"language": "en",
"url": "https://arxiv.org/abs/1802.08904"
} |
\section{\@startsection{section}{1}%
\z@{.7\linespacing\@plus\linespacing}{.5\linespacing}%
{\normalfont\scshape\centering}}
\makeatletter
\renewcommand\section{%
\@ifstar{%
\@startsection{section}{1}%
\z@{.7\linespacing\@plus\linespacing}{.5\linespacing}%
{\normalfont\scshape\centering%
}}{%
\... | {
"timestamp": "2018-02-27T02:07:40",
"yymm": "1802",
"arxiv_id": "1802.08900",
"language": "en",
"url": "https://arxiv.org/abs/1802.08900"
} |
\subsection{Experimental Setup}
\label{subsec:setup}
For our experiments we use the \emph{iCubWorld} dataset which was created as a benchmark
for object recognition in robotics \cite{Pasquale2015MLIS}.
A human teacher shows a set of objects to the iCub robot, which uses a tracking routine to follow
them with its ga... | {
"timestamp": "2018-02-27T02:05:31",
"yymm": "1802",
"arxiv_id": "1802.08833",
"language": "en",
"url": "https://arxiv.org/abs/1802.08833"
} |
\section*{Introduction}
The theory of Calabi-Yau algebras and categories have proven to be very important in symplectic topology and the study of topological field theories
\cite{costello}, \cite{ks}, \cite{kv}, \cite{lurie}, \cite{cg}. One of the goals of this paper is to adapt this theory to the setting of spectra ... | {
"timestamp": "2018-02-27T02:08:34",
"yymm": "1802",
"arxiv_id": "1802.08930",
"language": "en",
"url": "https://arxiv.org/abs/1802.08930"
} |
\section{Introduction}
\IEEEPARstart{O}{ptimal} power flow (\textsc{opf}\xspace) problems (or variants thereof) are employed in many power system contexts to ensure stable and economic system operation.
In presence of line congestions for example, \textsc{opf}\xspace problems are used to determine/re-dispatch generato... | {
"timestamp": "2018-08-24T02:08:20",
"yymm": "1802",
"arxiv_id": "1802.08603",
"language": "en",
"url": "https://arxiv.org/abs/1802.08603"
} |
\section{Introduction}
With applications to fields such as agriculture~\cite{dale2013}, ecology~\cite{wang2010}, mining~\cite{van2012}, forestry~\cite{ghiyamat2010}, urban planning~\cite{wentz2014}, defense~\cite{yuen2010}, and space exploration~\cite{pilorget2014}, hyperspectral imaging is a powerful remote sensing mo... | {
"timestamp": "2018-02-27T02:00:37",
"yymm": "1802",
"arxiv_id": "1802.08701",
"language": "en",
"url": "https://arxiv.org/abs/1802.08701"
} |
\section{Introduction}
Conifold transition is an important topic in the study of Calabi-Yau geometries and string theory. By the discoveries of \cite{Reid,GH,Wang}, the moduli spaces of three-dimensional CY complete intersections in a product of projective spaces are connected by conifold transitions. It was found b... | {
"timestamp": "2018-03-13T01:10:35",
"yymm": "1802",
"arxiv_id": "1802.08891",
"language": "en",
"url": "https://arxiv.org/abs/1802.08891"
} |
\section{Introduction}
Chemical and topographic high-throughput patterning of surfaces by lithographic stamping is key to the preparation of a broad range of functional materials and components\cite{CL_Nie2008}. Nanoimprint lithography\cite{CL_Traub2016,CL_Guo2007} involves embossing of plastically deformable surfaces ... | {
"timestamp": "2018-02-27T02:02:08",
"yymm": "1802",
"arxiv_id": "1802.08754",
"language": "en",
"url": "https://arxiv.org/abs/1802.08754"
} |
\section{Introduction}
All strong and electromagnetic decays of the $\eta$ meson are either
suppressed or forbidden to first order. The $\eta$ meson is, in addition,
a $C$ and $P$ eigenstate of strong and electromagnetic interaction. This makes it
well suited for the study of rare processes and the search for forbidden... | {
"timestamp": "2018-02-26T02:11:55",
"yymm": "1802",
"arxiv_id": "1802.08642",
"language": "en",
"url": "https://arxiv.org/abs/1802.08642"
} |
\section{Iterative refinement}
\label{sec:alg}
We now present an iterative
refinement strategy that, when given a
lifted abstract transition system, generates the commutativity and the non-commutativity
conditions. We then discuss
soundness and relative completeness and, in Secs.~\ref{sec:impl} and~\ref{sec:eval},
ch... | {
"timestamp": "2018-02-27T02:01:55",
"yymm": "1802",
"arxiv_id": "1802.08748",
"language": "en",
"url": "https://arxiv.org/abs/1802.08748"
} |
\section*{Abstract}
The main purpose of this paper is to analyse the earliest work of L\'eon Rosenfeld, one of the pioneers in the search of Quantum Gravity, the supposed theory unifying quantum theory and general relativity. We describe how and why Rosenfeld tried to face this problem in 1927, analysing the role of h... | {
"timestamp": "2018-02-27T02:06:52",
"yymm": "1802",
"arxiv_id": "1802.08878",
"language": "en",
"url": "https://arxiv.org/abs/1802.08878"
} |
\section{Introduction}
\IEEEPARstart{T}{racking} for autonomous vehicles involves accurately identifying and localizing dynamic objects in the environment surrounding the vehicle. Tracking of surround vehicles is essential for many tasks crucial to truly autonomous driving, such as \textit{obstacle avoidance}, \textit... | {
"timestamp": "2018-09-12T02:02:01",
"yymm": "1802",
"arxiv_id": "1802.08755",
"language": "en",
"url": "https://arxiv.org/abs/1802.08755"
} |
\section{Abstract}
Fewer than 20 transiting Kepler planets have periods longer than one year. Our early search of the Kepler light curves revealed one such system, Kepler-1654 b (originally KIC~8410697b), which shows exactly two transit events and whose second transit occurred only 5 days before the failure of th... | {
"timestamp": "2018-02-27T02:08:56",
"yymm": "1802",
"arxiv_id": "1802.08945",
"language": "en",
"url": "https://arxiv.org/abs/1802.08945"
} |
\section{Introduction}
Consider the following question: a learner receives an $iid$ training set $S$ drawn from a distribution parametrized by $\theta^*$.
There is a teacher who knows $\theta^*$.
Can the teacher select a subset from $S$ so the learner estimates $\theta^*$ better from the subset than from $S$?
This qu... | {
"timestamp": "2018-02-27T02:08:56",
"yymm": "1802",
"arxiv_id": "1802.08946",
"language": "en",
"url": "https://arxiv.org/abs/1802.08946"
} |
\section{Introduction }
Classifications of abstract regular polytopes have been a subject of interest for several decades.
One path has been to fix (families of) groups of automorphisms and determine the abstract regular polytopes having these groups as full automorphism groups.
Some striking results have been obtain... | {
"timestamp": "2019-01-23T02:28:42",
"yymm": "1802",
"arxiv_id": "1802.08947",
"language": "en",
"url": "https://arxiv.org/abs/1802.08947"
} |
\section{Introduction}
\label{sec:intro}
At LHC energies, the effect of electroweak (EW) corrections on the cross section can be significant ($\sim 10$\%). These are dominated by EW Sudakov double logarithms,
\begin{align}
\sigma = \sigma_0\, \sum_{m \leq 2n} c_{nm}\, \alpha_w^n \ln^m \frac{Q}{M}
\,,\end{align}
wh... | {
"timestamp": "2018-09-12T02:07:45",
"yymm": "1802",
"arxiv_id": "1802.08687",
"language": "en",
"url": "https://arxiv.org/abs/1802.08687"
} |
\section{Notation and Preliminaries}
The following definitions follow the notation in~\cite{Powley2009}. A {\it cellular automaton} (CA) is a tuple $\langle S, (\mathbb{L}, +), T, f \rangle$ with a set $S$ of states, a lattice $\mathbb{L}$ with a binary operation $+$, a neighbourhood template $T$, and a local rule $f... | {
"timestamp": "2018-02-27T02:02:48",
"yymm": "1802",
"arxiv_id": "1802.08769",
"language": "en",
"url": "https://arxiv.org/abs/1802.08769"
} |
\section{Introduction}
Sampling problems are ubiquitous in a wide range of scientific and engineering disciplines and have received significant attention in Machine Learning and Statistics.
In a typical sampling problem, one wants to generate samples from a given target distribution $\pi(x) \propto e^{-U(x)}$, where... | {
"timestamp": "2018-08-13T02:00:57",
"yymm": "1802",
"arxiv_id": "1802.08898",
"language": "en",
"url": "https://arxiv.org/abs/1802.08898"
} |
\section{Introduction}
Asymptotically-free gauge theories show various phases depending on the matter contents, the (global) structure of the gauge groups, spacetime dimensions, temperature and so on. It is usually difficult to exactly analyze the low-energy dynamics since it is strongly-coupled. In order to extract so... | {
"timestamp": "2018-02-27T02:00:58",
"yymm": "1802",
"arxiv_id": "1802.08716",
"language": "en",
"url": "https://arxiv.org/abs/1802.08716"
} |
\section{Introduction}
Ever since its discovery, the adiabatic technique of
electromagnetically induced transparency (EIT)
\cite{harris1997electromagnetically,*boller1991observation} has been the
crux for light storage and manipulation. The interaction of a $\Lambda$
atomic system with a control field opens a tran... | {
"timestamp": "2018-02-27T02:07:38",
"yymm": "1802",
"arxiv_id": "1802.08896",
"language": "en",
"url": "https://arxiv.org/abs/1802.08896"
} |
\section{Introduction}
Quantum entanglement is a very important physical resource in quantum information \cite{RH09}, recently, it has been shown that the quantum discord \cite{HO01,LH01}, as another kind of quantum correlation, can depict the quantumness of quantum state more deeply than the quantum entanglement in so... | {
"timestamp": "2018-02-27T02:08:54",
"yymm": "1802",
"arxiv_id": "1802.08942",
"language": "en",
"url": "https://arxiv.org/abs/1802.08942"
} |
\section{Introduction}
Cancer is a complex disease arising from molecular alterations that interact with and obstruct normal biological processes and produce phenotypic changes.
Imaging modalities, such as microscopic imaging of hematoxylin-and-eosin (H\&E) stained slides
and high-throughput genomics provide complement... | {
"timestamp": "2018-02-27T02:07:51",
"yymm": "1802",
"arxiv_id": "1802.08910",
"language": "en",
"url": "https://arxiv.org/abs/1802.08910"
} |
\section{Computational Algorithm} \label{section:algo}
\vspace{-0.1in}
Our proposed algorithm contains three nested loops: (1) homotopy optimization scheme, (2) active set strategy, and (3) minimization within active coordinates.
\vspace{0.05in}
\noindent\textbf{(I) Outer Loop}: The homotopy optimization scheme adop... | {
"timestamp": "2018-02-27T02:08:53",
"yymm": "1802",
"arxiv_id": "1802.08941",
"language": "en",
"url": "https://arxiv.org/abs/1802.08941"
} |
\section*{Methods}
TaAs has 12 pairs of Weyl nodes which are divided into 4 pairs of W1 and 8 pairs of W2.
The $E_F$ of the as-grown single-crystalline TaAs is close to the two types of Weyl nodes which are separated 13 meV in energy space, therefore its Fermi surface consist pairs of Weyl electron pockets (see Fig. ... | {
"timestamp": "2018-02-27T02:04:12",
"yymm": "1802",
"arxiv_id": "1802.08801",
"language": "en",
"url": "https://arxiv.org/abs/1802.08801"
} |
\section{Introduction}
An old result due to Lov\'asz \cite{lov67} states a graph $G$ can
be characterized by counting homomorphisms from all graphs $F$ to
$G$. That is, two graphs $G$ and $H$ are isomorphic if and only if, for all
$F$, the number $\hom(F,G)$ of homomorphisms from $F$ to $G$ equals
the number $\hom(F,H... | {
"timestamp": "2018-05-23T02:10:08",
"yymm": "1802",
"arxiv_id": "1802.08876",
"language": "en",
"url": "https://arxiv.org/abs/1802.08876"
} |
\section*{}
\vspace{-1cm}
\footnotetext{\textit{$^{a}$~Department of Chemistry and Biochemistry, University of California San Diego, La Jolla, California 92093, United States. E-mail: jyuenzhou@ucsd.edu}}
\section{Introduction}
Light plays a fundamental role in chemistry. It is an essential ingredient in many bi... | {
"timestamp": "2018-02-26T02:12:41",
"yymm": "1802",
"arxiv_id": "1802.08681",
"language": "en",
"url": "https://arxiv.org/abs/1802.08681"
} |
\section{Introduction}
\label{S:intro}
Let $\Gamma(S_n)$ be the Cayley graph of the symmetric group $S_n$ with generators given by the adjacent transpositions $\pi_i = (i, i + 1)$ for $i = 1, \mathellipsis, n -1$. A {\bf sorting network} is a shortest path from the identity permutation $\text{id}_n = 12 \cdots n$ to ... | {
"timestamp": "2018-03-20T01:13:07",
"yymm": "1802",
"arxiv_id": "1802.08934",
"language": "en",
"url": "https://arxiv.org/abs/1802.08934"
} |
\section{Introduction}
Let $\X_1 \ldot \X_m$ be independent random vectors with a continuous distribution function (df) $F$. We shall assume without loss of generality that the marginal df's of $F$ are the uniform df on $[0,1]$. Define the empirical df $F_m$ of $F$ by
\BQNY
F_m(\vk{x}):=\frac{1}{m}\sum_{i=1}^m \indi... | {
"timestamp": "2018-02-27T02:07:17",
"yymm": "1802",
"arxiv_id": "1802.08883",
"language": "en",
"url": "https://arxiv.org/abs/1802.08883"
} |
\section{Abstract}
We build upon previous work out of UC Berkeley's energy, controls, and applications laboratory (eCal) that developed a model for price prediction of the energy day-ahead market (DAM) and a stochastic load scheduling for distributed energy resources (DER) with DAM based objective\cite{Travacca}. In si... | {
"timestamp": "2018-05-17T02:03:33",
"yymm": "1802",
"arxiv_id": "1802.08929",
"language": "en",
"url": "https://arxiv.org/abs/1802.08929"
} |
\section{Introduction}
The International Linear Collider, ILC~\cite{Behnke:2013xla}, is an accelerator based particle physics project
which will provide collisions of polarized beams made up of $e^{+}e^{-}$ with center-of-mass energies ($c.m.e$) of 250 GeV - 1 TeV.
These collisions will be studied by two multipurpose ... | {
"timestamp": "2018-02-27T02:04:21",
"yymm": "1802",
"arxiv_id": "1802.08806",
"language": "en",
"url": "https://arxiv.org/abs/1802.08806"
} |
\section{A Block-wise, Asynchronous, and Distributed ADMM Algorithm}
\label{sec:algorithm}
In this section, we present our proposed \emph{block-wise}, \emph{asynchronous} and \emph{distributed} ADMM algorithm (a.k.a, AsyBADMM) for the general consensus problem. For ease of presentation, we first describe a synchrono... | {
"timestamp": "2018-02-27T02:07:03",
"yymm": "1802",
"arxiv_id": "1802.08882",
"language": "en",
"url": "https://arxiv.org/abs/1802.08882"
} |
\subsubsection*{Acknowledgments}
JRG, GP, and KQW are supported in part by grants from the National Science Foundation (III-1525919, IIS-1550179, IIS-1618134, S\&AS 1724282,
and CCF-1740822), the Office of Naval Research DOD (N00014-17-1-2175), and the Bill and Melinda Gates Foundation.
AGW is supported by NSF IIS-156... | {
"timestamp": "2018-02-27T02:07:43",
"yymm": "1802",
"arxiv_id": "1802.08903",
"language": "en",
"url": "https://arxiv.org/abs/1802.08903"
} |
\section{Introduction}
We consider the problem of constrained image generation of a porous medium with given properties.
Porus media occur, e.g., in lithium-ion batteries and composed
materials~\cite{7962936,Ilenia11}; the problem of generating porus media with a given
set of properties is relevant in practical app... | {
"timestamp": "2018-02-27T02:03:59",
"yymm": "1802",
"arxiv_id": "1802.08795",
"language": "en",
"url": "https://arxiv.org/abs/1802.08795"
} |
\section{Introduction}\label{sec:Introduction}
Android is one of the most popular operating system in for smart devices and are connected through the internet accessing billions of online websites. The exponential increase in android apps is basically due to the open source, third party distribution, free rich SDK and... | {
"timestamp": "2018-02-26T02:10:33",
"yymm": "1802",
"arxiv_id": "1802.08611",
"language": "en",
"url": "https://arxiv.org/abs/1802.08611"
} |
\section{Introduction}
Given an edge-colored graph $G$, a \textit{rainbow spanning tree} of $G$ is a spanning tree in which each edge receives a different color. One question that has attracted a lot of attention in recent years is: how many edge-disjoint rainbow spanning trees can we find in any properly edge-colored... | {
"timestamp": "2018-02-27T02:07:58",
"yymm": "1802",
"arxiv_id": "1802.08918",
"language": "en",
"url": "https://arxiv.org/abs/1802.08918"
} |
\section{Introduction}
Within this paper we look to explain an English Premier League team's
style of attacking play; determining the number of chances a team
creates, along with identifying the players involved and from where on
the pitch the chance took place.
The Premier League is an annual soccer league estab... | {
"timestamp": "2018-02-26T02:12:18",
"yymm": "1802",
"arxiv_id": "1802.08664",
"language": "en",
"url": "https://arxiv.org/abs/1802.08664"
} |
\section{Introduction}\label{sec:intro}
Co-training/multiview learning is a problem that asks to aggregate two views of data into a prediction for the latent label, and was first proposed by \citet{blum1998combining}. Although co-training is an important learning problem, it lacks a unified and rigorous approach to... | {
"timestamp": "2018-05-24T02:02:59",
"yymm": "1802",
"arxiv_id": "1802.08887",
"language": "en",
"url": "https://arxiv.org/abs/1802.08887"
} |
\section{Introduction}
\label{section_1}
\IEEEPARstart{M}{any-objective} optimization problems (MaOPs) concern solving $M$ conflicting objectives simultaneously where $M$ is greater than three~\cite{farina2002optimal}. Generally, an MaOP has the following formulation described by Equation~(\ref{equation_mops})
\labe... | {
"timestamp": "2018-02-27T02:03:41",
"yymm": "1802",
"arxiv_id": "1802.08788",
"language": "en",
"url": "https://arxiv.org/abs/1802.08788"
} |
\section{INTRODUCTION}
The ARCADE 2 (Absolute Radiometer for Cosmology, Astrophysics and Diffuse Emission) observations of the radio sky show an excess in addition to the Cosmic Microwave Background (CMB) temperature of $T_\mathrm{CMB}=2.725\pm0.001\,\mathrm{K}$ (Fixsen et al. 2011). The existence of this excess rad... | {
"timestamp": "2018-02-27T02:08:50",
"yymm": "1802",
"arxiv_id": "1802.08939",
"language": "en",
"url": "https://arxiv.org/abs/1802.08939"
} |
\section{Introduction}
The distribution of the interstellar gas is a key ingredient to any
self-consistent model describing propagation of cosmic rays (CRs) and
generation of non-thermal interstellar emissions.
Propagation of CR species in the Galaxy and their interactions with
the interstellar gas and radiation field... | {
"timestamp": "2018-02-26T02:12:03",
"yymm": "1802",
"arxiv_id": "1802.08646",
"language": "en",
"url": "https://arxiv.org/abs/1802.08646"
} |
\section{Introduction} \label{sec:intro}
Theory and observations both suggest that there are fewer baryons detected in the local universe than predicted. Observations of the cosmic microwave background \citep[i.e.][]{planck2015}
and Big Bang nucleosynthesis (BBN) models \citep{kaplinghat} predict that baryons compris... | {
"timestamp": "2018-02-27T02:00:14",
"yymm": "1802",
"arxiv_id": "1802.08688",
"language": "en",
"url": "https://arxiv.org/abs/1802.08688"
} |
\section{Introduction}
\label{sec:intro}
\lettrine[lines=2]{T}{o} perceive and understand more complex scenes, researchers attempt to capture more information, e.g. multispectral and light field, of scenes. Traditional cameras take pictures by using 2D sensors with Bayer filter arrays. The captured trichromatic images... | {
"timestamp": "2018-02-27T02:04:20",
"yymm": "1802",
"arxiv_id": "1802.08805",
"language": "en",
"url": "https://arxiv.org/abs/1802.08805"
} |
\section*{Introduction}
\label{sec_intro-prelim}
An operator space, more precisely a concrete operator space is a (closed) subspace of a C$^*$-algebra. We refer to \cite{Ef_Ru_B} and \cite{Pis_B} for basic knowledge on operator spaces and operator space tensor products.
Let $\mathcal{B}(\mathcal{H})$ denote the C$^*$-... | {
"timestamp": "2018-02-27T02:06:15",
"yymm": "1802",
"arxiv_id": "1802.08852",
"language": "en",
"url": "https://arxiv.org/abs/1802.08852"
} |
\section{Introduction and Scope}
Realizing the physics programs of the planned and/or upgraded high-energy physics (HEP) experiments over the next 10 years will require the HEP community to address a number of
challenges in the area of software and computing. For this reason, the HEP software community has engaged in... | {
"timestamp": "2018-02-26T02:11:47",
"yymm": "1802",
"arxiv_id": "1802.08638",
"language": "en",
"url": "https://arxiv.org/abs/1802.08638"
} |
\section{Introduction}
The main idea of this paper is to present an $n$-ary ($n>2$) generalization of the results achieved by the first author on the decomposition of linear spaces induced by bilinear maps on a linear space \cite{Yo4}.
In the mentioned paper, given a linear space $\mathbb V$ of arbitray dimension and... | {
"timestamp": "2018-02-27T02:07:32",
"yymm": "1802",
"arxiv_id": "1802.08892",
"language": "en",
"url": "https://arxiv.org/abs/1802.08892"
} |
\section{Introduction and results}
In the study of partial differential equations
mathematical models describing the natural phenomena,
e.g., the heat equation, the Fisher--KPP equation and so on,
are one of the important topics in the mathematical analysis,
and studied by many mathematicians.
Recently, there have... | {
"timestamp": "2018-02-27T02:04:22",
"yymm": "1802",
"arxiv_id": "1802.08807",
"language": "en",
"url": "https://arxiv.org/abs/1802.08807"
} |
\section*{}
A quantum network, or entangled graph state of qubits \cite{ref:raussendorf2001aow,ref:benjamin2006bgs,ref:benjamin2009pmb, ref:santori2010nqo}, is a valuable resource for both universal quantum computation and quantum communication. Optically heralded entanglement \cite{ref:barrett2005ehf} can be utilized... | {
"timestamp": "2018-02-27T02:02:15",
"yymm": "1802",
"arxiv_id": "1802.08758",
"language": "en",
"url": "https://arxiv.org/abs/1802.08758"
} |
\section{Background and Motivation} \label{sec:introduction}
\indent Understanding the relationship between various macroscopic parameters for the different species of a gas is critical for understanding the evolution and dynamics of said gas. A gas in thermodynamic equilibrium exhibits equal temperatures between a... | {
"timestamp": "2018-02-26T02:10:07",
"yymm": "1802",
"arxiv_id": "1802.08585",
"language": "en",
"url": "https://arxiv.org/abs/1802.08585"
} |
\section{Introduction}
The last decade has witnessed huge success of deep neural networks in
various domains. Examples include computer vision, speech recognition, and natural language processing~\citep{lecun2015deep}.
However, their
huge size
often hinders deployment to small computing devices such as cell phones an... | {
"timestamp": "2018-05-11T02:07:23",
"yymm": "1802",
"arxiv_id": "1802.08635",
"language": "en",
"url": "https://arxiv.org/abs/1802.08635"
} |
\section{Introduction}
Product information is essential for markets to function well. Without accurate knowledge of what they are buying, consumers cannot be expected to maximize personal welfare over the set of product choices. Of course, product characteristics that affect a consumer's ability to optimize in ... | {
"timestamp": "2018-02-27T02:03:17",
"yymm": "1802",
"arxiv_id": "1802.08778",
"language": "en",
"url": "https://arxiv.org/abs/1802.08778"
} |
\section{#1}}
\usepackage{times}
\usepackage[normalem]{ulem}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,positioning}
\usetikzlibrary{decorations.markings}
\tikzstyle arrowstyle=[scale=1]
\tikzstyle directed=[postaction={decorate,decoration={markings,
mark=at position .65 with {\arrow[arrowstyle]{stealth}... | {
"timestamp": "2018-05-02T02:12:35",
"yymm": "1802",
"arxiv_id": "1802.08830",
"language": "en",
"url": "https://arxiv.org/abs/1802.08830"
} |
\subsection*{Author Summary}
Determining how mutations impact protein stability and function is
instrumental in understanding how proteins carry out their biological
tasks, how they evolve, and how to engineer novel proteins. However
measuring differences in function between mutated variants does not
distinguish wheth... | {
"timestamp": "2018-04-03T02:03:43",
"yymm": "1802",
"arxiv_id": "1802.08744",
"language": "en",
"url": "https://arxiv.org/abs/1802.08744"
} |
\section{Extended Abstract}
Each submitted abstract should be submitted on white A4 paper. The fully
justified text should be formatted in two parallel columns, each 8.25 cm wide,
and separated by a space of 0.63 cm. Left, right, and bottom margins should be
1.9 cm and the top margin 2.5 cm. The font for the main bod... | {
"timestamp": "2018-04-11T02:07:50",
"yymm": "1802",
"arxiv_id": "1802.08599",
"language": "en",
"url": "https://arxiv.org/abs/1802.08599"
} |
\section{introduction}
\subsection{Presentation of the problem}
In this paper, we consider the incompressible inviscid flow in 3-D elastodynamics:
\begin{equation}\label{elso}
\left\{
\begin{array}{l}
\pa_t \rho + \vu\cdot\nabla\rho=0,\\
\pa_t (\rho\vu) + \vu\cdot\nabla(\rho\vu)+ \nabla p= \mbox{div}(\rho\vF\vF^\... | {
"timestamp": "2018-02-27T02:05:04",
"yymm": "1802",
"arxiv_id": "1802.08819",
"language": "en",
"url": "https://arxiv.org/abs/1802.08819"
} |
\section{Introduction}
The TM model applied to double-well atomic Bose-Einstein
condensates has been extensively studied in the recent years
\cite{smerzi97,ragh99,anan06,jia08,albiez05,mele11,abad11,doublewell_a,
doublewell_b,doublewell_c,doublewell_d,doublewell_e}. Such a model
assumes that the condensate order pa... | {
"timestamp": "2018-02-27T02:01:34",
"yymm": "1802",
"arxiv_id": "1802.08739",
"language": "en",
"url": "https://arxiv.org/abs/1802.08739"
} |
\section{Introduction}
\label{section:intro}
This paper is a contribution to the study of truth constants in {\L}ukasiewicz logic.
Previous works on the subject, often in a wider context of other t-norm based logics,
include \cite{Pavelka:Fuzzy,Hajek:1998,Hajek-Paris-Shepherdson:Pavelka,Esteva-GGN:AddingTruthConstan... | {
"timestamp": "2018-02-26T02:10:10",
"yymm": "1802",
"arxiv_id": "1802.08588",
"language": "en",
"url": "https://arxiv.org/abs/1802.08588"
} |
\section{Introduction}
Backward Raman amplifiers (BRA) provide a promising path to the next generation of short pulse high-intensity lasers that may circumvent the damage limit of conventional materials.
The main idea is to couple a short seed and a long counter-propagating pump through an electron plasma wave (EPW) i... | {
"timestamp": "2018-02-27T02:07:47",
"yymm": "1802",
"arxiv_id": "1802.08906",
"language": "en",
"url": "https://arxiv.org/abs/1802.08906"
} |
\section{Introduction}
There are several systems with more than one Lagrangian for given equations of motion, but when quantised
lead to inequivalent quantum systems \cite{Book_1}. They do not differ by total derivatives of functions. We call
these Lagrangians as {\em weakly} inequivalent Lagrangians. Simple example... | {
"timestamp": "2018-04-24T02:09:35",
"yymm": "1802",
"arxiv_id": "1802.08624",
"language": "en",
"url": "https://arxiv.org/abs/1802.08624"
} |
\section{Introduction}
Let $X$ be a nonsingular toric variety over $\mathbb C$ under the action of the algebraic torus $T$. A vector bundle $\pi : \mathcal{E} \rightarrow X$ is said to be a toric vector bundle on $X$ if it has an equivariant $T$-structure, i.e. an action of the torus on $\mathcal{E}$ which is linear o... | {
"timestamp": "2018-02-27T02:04:13",
"yymm": "1802",
"arxiv_id": "1802.08803",
"language": "en",
"url": "https://arxiv.org/abs/1802.08803"
} |
\section{Introduction}
\medskip
There are several relatively recent works on comparison theorems on K\"ahler manifolds. In \cite{LW}, for a K\"ahler manifold $(M^m, g)$, Li and Wang introduced the condition ``bisectional curvature bounded from below by a constant $\lambda$" defined as
\begin{equation}\... | {
"timestamp": "2018-05-10T02:09:26",
"yymm": "1802",
"arxiv_id": "1802.08732",
"language": "en",
"url": "https://arxiv.org/abs/1802.08732"
} |
\section{Introduction}
\label{s1}
Given a real (presumably irrational!) number $\gamma$, how can one prove that it is irrational?
In certain cases (like for square roots of rationals) this is an easy task.
A more general strategy proceeds by the construction of a sequence of rational approximations $r_n=q_n\gamma... | {
"timestamp": "2018-08-07T02:14:00",
"yymm": "1802",
"arxiv_id": "1802.08856",
"language": "en",
"url": "https://arxiv.org/abs/1802.08856"
} |
\section{Introduction}
\label{s:intro}
\noindent
Let $G$ be a group given by a free presentation $G=F/R$. Then the {\it Schur multiplier} of $G$ can be defined via Hopf's formula as
$\M (G)=([F,F]\cap R)/[F,R]$. It is known that if $G$ is a finite group, then $\M (G)\cong \HH_2(G,\mathbb{Z})\cong \HH^2(G,\mathbb{Q}/\ma... | {
"timestamp": "2018-02-27T02:06:52",
"yymm": "1802",
"arxiv_id": "1802.08877",
"language": "en",
"url": "https://arxiv.org/abs/1802.08877"
} |
\section{Introduction}
The problem of determining the orbits closures, or the irreducible components of varieties of algebras, have been studied for many structures: Lie algebras (\cite{B1}, \cite{B2}, \cite{BS}, \cite{Ch}, \cite{GO'H}, \cite{KN}, \cite{L}, \cite{NP}, \cite{S}, \cite{W}), Jordan algebras (\cite{ACGS... | {
"timestamp": "2018-02-27T02:00:43",
"yymm": "1802",
"arxiv_id": "1802.08707",
"language": "en",
"url": "https://arxiv.org/abs/1802.08707"
} |
\section{Introduction}
The symmetry rank of a Riemannian manifold is the rank of its isometry group, that is, the dimension of a maximal torus in $\mathrm{Iso}(M)$. It was proved by K.~Grove and C.~Searle in \cite{grove} that a closed Riemannian manifold with positive sectional curvature and maximal symmetry rank is... | {
"timestamp": "2018-06-11T02:18:02",
"yymm": "1802",
"arxiv_id": "1802.08922",
"language": "en",
"url": "https://arxiv.org/abs/1802.08922"
} |
\section{Introduction}
\label{sec:introduction}
\textit{Multiobjective optimization} is the study of algorithms for optimization
problems associated with two or more objective functions. Such problems arise
naturally in prescriptive decision making, where decision makers often face
conflicting criteria that balance t... | {
"timestamp": "2018-09-06T02:05:36",
"yymm": "1802",
"arxiv_id": "1802.08637",
"language": "en",
"url": "https://arxiv.org/abs/1802.08637"
} |
\section{Introduction}
\IEEEPARstart{S}tate-of-the-art computing platforms are widely based on the von-Neumann architecture \cite{von2012computer}. The von-Nuemann architecture is characterized by distinct spatial units for \textit{computing} and \textit{storage}. Such physically separated memory and compute units res... | {
"timestamp": "2018-10-18T02:01:44",
"yymm": "1802",
"arxiv_id": "1802.08601",
"language": "en",
"url": "https://arxiv.org/abs/1802.08601"
} |
\section{Introduction}
\label{introduction}
The question of whether modern video prediction models can correctly represent important sources of variability within a video, such as the motion parameters of cameras or objects, has not been addressed in sufficient detail. Moreover, the manner in which existing video pred... | {
"timestamp": "2018-03-23T01:04:04",
"yymm": "1802",
"arxiv_id": "1802.08936",
"language": "en",
"url": "https://arxiv.org/abs/1802.08936"
} |
\section{Introduction}
\label{section:introduction}
Generative Adversarial Networks (or GANs) are a promising techique for
building flexible generative models \cite{GANS}.
There have been many successful efforts to scale them up to large datasets and
new applications \cite{LAPGAN,DCGAN,ACGAN,STACKGAN,PROGRESSIVEGAN,PR... | {
"timestamp": "2018-06-20T02:04:59",
"yymm": "1802",
"arxiv_id": "1802.08768",
"language": "en",
"url": "https://arxiv.org/abs/1802.08768"
} |
\section{Introduction}
Modeling the diffusion of innovation, which can be technological or cultural, has an extensive history, over decades and across disciplines (see, e.g., Coleman \textit{et al.} (1966); Rogers (2003); Mahajan and Peterson (1985)). One process absent from all innovation diffusion models is suppres... | {
"timestamp": "2018-02-27T02:08:54",
"yymm": "1802",
"arxiv_id": "1802.08943",
"language": "en",
"url": "https://arxiv.org/abs/1802.08943"
} |
\section{Introduction} \label{sec:intro}
We consider the problem of detecting a sparse mixture. A simple variant of the problem can be formulated as follows. Let $F$ be a continuous distribution function on the real line, and $\varepsilon \in (0,1/2]$ and $\mu > 0$.
The problem is to test
\begin{equation}} % \setcou... | {
"timestamp": "2018-02-27T02:00:56",
"yymm": "1802",
"arxiv_id": "1802.08715",
"language": "en",
"url": "https://arxiv.org/abs/1802.08715"
} |
\section{Introduction}
Many important recent advances in our understanding of the physical
world have been driven by large-scale computational modeling and data
analysis, for example, the 2012 discovery of the Higgs boson, the 2013
Nobel Prize in chemistry for computational modeling of molecules, and
the 2016 discover... | {
"timestamp": "2018-02-27T02:06:44",
"yymm": "1802",
"arxiv_id": "1802.08871",
"language": "en",
"url": "https://arxiv.org/abs/1802.08871"
} |
\section{Introduction}
Aggregating information coming from multiple sources is a
long-standing problem in both knowledge representation and the study
of multi-agent systems (see, e.g., \cite{vanHarmelen2007}). Depending
on the chosen representation for the incoming pieces of knowledge or
information, a number of co... | {
"timestamp": "2018-02-26T02:10:07",
"yymm": "1802",
"arxiv_id": "1802.08586",
"language": "en",
"url": "https://arxiv.org/abs/1802.08586"
} |
\chapter{Motivation}
\input{C1}
\input{C2}
\chapter{Zero Mode Counting via Sheaf Cohomology} \label{chapter:MasslessSpectraAndSheafCohomology}
\input{C3}
\chapter{From F.P. Graded \texorpdfstring{$\mathbf{S}$}{S}-Modules to Zero Mode Counting} \label{chapter:DetailsOnFPGradedSModules}
\input{C4}
\chapter... | {
"timestamp": "2018-02-27T02:06:27",
"yymm": "1802",
"arxiv_id": "1802.08860",
"language": "en",
"url": "https://arxiv.org/abs/1802.08860"
} |
\subsection{Key simulation improvements}
Evaluation of the signal processing relies, in part, on an improved
signal and noise simulation. The signal simulation has two key
improvements compared to prior implementations.
Previous implementations~\cite{larsoft} adopted a simplified
model to consider the induction char... | {
"timestamp": "2018-04-11T02:04:30",
"yymm": "1802",
"arxiv_id": "1802.08709",
"language": "en",
"url": "https://arxiv.org/abs/1802.08709"
} |
\section{Introduction}
\label{sec:intro}
At the onset of a solar flare, magnetic reconnection releases pent up magnetic stress, energizing many thousands of tenuous magnetic flux tubes in the corona. Energy released in the corona is transported to the chromosphere, where a sharp rise in pressure causes plasma to abla... | {
"timestamp": "2018-02-27T02:07:18",
"yymm": "1802",
"arxiv_id": "1802.08884",
"language": "en",
"url": "https://arxiv.org/abs/1802.08884"
} |
\section{Appendix}
\subsection{Interaction Hamiltonian and eigenenergies}
\label{sec:interactionPotential}
Our impurity-bath system can be considered an ultracold mixture experiment with extreme imbalance, where the interaction potentials are well known and impurities rapidly thermalize with the Rb bath, while impurity... | {
"timestamp": "2018-09-03T02:06:11",
"yymm": "1802",
"arxiv_id": "1802.08702",
"language": "en",
"url": "https://arxiv.org/abs/1802.08702"
} |
\section{Introduction}
\label{sec:intro}
The solution of the many-body Schr\"odinger equation describing a system of
interacting baryons is challenging because of the nonperturbative
nature and the strong spin/isospin-dependence of realistic nuclear interactions.
Quantum Monte Carlo (QMC) methods provide a powerful... | {
"timestamp": "2018-02-27T02:08:37",
"yymm": "1802",
"arxiv_id": "1802.08932",
"language": "en",
"url": "https://arxiv.org/abs/1802.08932"
} |
\section{Introduction}\label{s:intro}
Recent progress in low-temperature plasma physics, both, in experiments and
applications \cite{plasma-road-map-17, doe-report-17},
creates an urgent need for accurate simulations of the plasma-solid interface.
Even though there have been remarkable recent advances, both, in pla... | {
"timestamp": "2018-05-29T02:13:37",
"yymm": "1802",
"arxiv_id": "1802.08710",
"language": "en",
"url": "https://arxiv.org/abs/1802.08710"
} |
\section*{Introduction}
Let $G$ be a residually finite group with normal subgroups $G\supset G_1\supset G_2\cdots$ such that $\cap_{n\in\mathbb N}G_n=\{e\}$. Let $X_n=G/G_n$ be the quotient finite group, with the natural action of $G$ denoted by $(g,x)\to gx$, $g\in G$, $x\in X_n$. Let $\nu_n=|X_n|$, where $|A|$ den... | {
"timestamp": "2018-02-28T02:12:41",
"yymm": "1802",
"arxiv_id": "1802.08592",
"language": "en",
"url": "https://arxiv.org/abs/1802.08592"
} |
\section{Preliminary Lemmas and Proof Sketch of Theorem~\ref{thm:expectation_bound_appendix}}
\label{sec:lemmas}
In this section, we outline the proof of Theorem~\ref{thm:expectation_bound}, our upper bound for the case of totally bounded metric spaces. The proof of the more general Theorem~\ref{thm:unbounded_upper_bo... | {
"timestamp": "2018-05-24T02:05:10",
"yymm": "1802",
"arxiv_id": "1802.08855",
"language": "en",
"url": "https://arxiv.org/abs/1802.08855"
} |
\section{Introduction}
Solar activity has a strong influence on the modulation of the
flux of galactic cosmic rays (GCRs) arriving at Earth, whose
transport through the heliosphere is one of the topics of
major interest in space physics, presenting several unresolved
questions. Space weather physics is experiencing... | {
"timestamp": "2018-04-17T02:08:16",
"yymm": "1802",
"arxiv_id": "1802.08867",
"language": "en",
"url": "https://arxiv.org/abs/1802.08867"
} |
\section{Introduction}
Ultrastrong coupling between artificial atoms and electromagnetic
cavity modes is achieved when the coupling strength
$\lambda$ becomes comparable to, or even exceeds
the resonator frequency $\omega$. Such regime, which is
nowadays experimentally addressed in circuit
QED~\cite{bourassa,gross,... | {
"timestamp": "2018-02-27T02:07:38",
"yymm": "1802",
"arxiv_id": "1802.08897",
"language": "en",
"url": "https://arxiv.org/abs/1802.08897"
} |
\section{Introduction}\label{sec::intro}
With the exponential rise in data-demand far exceeding the capacity of the traditional macro-only cellular network operating in sub-6 GHz bands, network densification using mm-wave base stations (BSs) is becoming a major driving technology for the 5G wireless evolution~\cite{... | {
"timestamp": "2018-11-13T02:09:39",
"yymm": "1802",
"arxiv_id": "1802.08776",
"language": "en",
"url": "https://arxiv.org/abs/1802.08776"
} |
\section{Introduction}
In recent years, research in control theory and robotics has focused on developing efficient controllers for robots that operate in the real world. Controller synthesis techniques such as reinforcement learning, optimal control, and model predictive control have been used to synthesize compl... | {
"timestamp": "2018-02-27T02:16:17",
"yymm": "1802",
"arxiv_id": "1802.08678",
"language": "en",
"url": "https://arxiv.org/abs/1802.08678"
} |
\section{Background}
\label{sec:background}
\input system
\input channel
\input decoder
\section{Speeding Things Up}
\label{sec:optimization}
\subsection{Batch Computation of Receiver Metric}
\label{sec:batchreceiver}
In a naïve implementation, each $\gamma$ computation \eqref{eqn:gamma}
requires the computation of... | {
"timestamp": "2018-02-26T02:10:19",
"yymm": "1802",
"arxiv_id": "1802.08595",
"language": "en",
"url": "https://arxiv.org/abs/1802.08595"
} |
\section{Introduction}
Critical behavior in the gravitational collapse of a massless scalar field was
discovered by Choptuik~\cite{Choptuik:1992jv}, who sought to answer the question
``What happens at the threshold of black hole formation?'' Choptuik considered
a massless scalar field undergoing gravitational collaps... | {
"timestamp": "2018-12-20T02:06:37",
"yymm": "1802",
"arxiv_id": "1802.08682",
"language": "en",
"url": "https://arxiv.org/abs/1802.08682"
} |
\section{Introduction}
Mesh patterns were first introduced by Br\"and\'en and Claesson in \cite{Bra11} as a generalisation
of permutation patterns, and have been studied extensively in recent years, see e.g.,~\cite{CTU15,JKR15}.
A mesh pattern consist of a pair $(\pi,P)$, where $\pi$ is a permutation and $P$ is a set o... | {
"timestamp": "2018-02-26T02:12:28",
"yymm": "1802",
"arxiv_id": "1802.08672",
"language": "en",
"url": "https://arxiv.org/abs/1802.08672"
} |
\section{Introduction}
In this paper, we shed new light on Langevin-based Monte Carlo algorithms by drawing connections to the Wasserstein gradient flow literature and the operator splitting approach to solving PDEs. In a seminal paper, \citet{jordan1998variational} expressed the solution of the Fokker--Planck equatio... | {
"timestamp": "2018-02-26T02:12:27",
"yymm": "1802",
"arxiv_id": "1802.08671",
"language": "en",
"url": "https://arxiv.org/abs/1802.08671"
} |
\section{Introduction}
Uncertainty quantification (UQ) aims to develop numerical methods that can accurately approximate quantities of interest (QoI) of a complex engineering system and facilitate the quantitative validation of the simulation model. One challenge in UQ is in building surrogates for approximation of a p... | {
"timestamp": "2018-02-27T02:05:33",
"yymm": "1802",
"arxiv_id": "1802.08837",
"language": "en",
"url": "https://arxiv.org/abs/1802.08837"
} |
\section{Introduction} Consider a random vector $(Y,X')'$ with distribution $P$ and finite second moments, where the outcome $Y$ takes values in $\Bbb{R}$ and the covariate $X$ taking values $ x \in \mathcal{X}$, a Borel subset of $\Bbb{R}^d$. Denote the conditional expectation function map $x \mapsto {\mathrm{E}}[Y \... | {
"timestamp": "2018-03-20T01:12:37",
"yymm": "1802",
"arxiv_id": "1802.08667",
"language": "en",
"url": "https://arxiv.org/abs/1802.08667"
} |
\section{Introduction}
When exciting a multilevel atom with more than one coherent field, new phenomena can arise. In such a system, interference between different pathways can lead to suppression of excitations, leading to a trapped state. In recent years, quantum coherence in multi-level atoms and solid-state emitte... | {
"timestamp": "2018-03-16T01:03:38",
"yymm": "1802",
"arxiv_id": "1802.08874",
"language": "en",
"url": "https://arxiv.org/abs/1802.08874"
} |
\section{Introduction}
Recently, extracting textual information from natural scene images has become increasingly popular, due to the growing demands of real-world applications (e.g., product search \cite{bai2017integrating}, image retrieval \cite{jaderberg2016reading}, and autonomous driving). Scene text detection,... | {
"timestamp": "2018-02-28T02:05:52",
"yymm": "1802",
"arxiv_id": "1802.08948",
"language": "en",
"url": "https://arxiv.org/abs/1802.08948"
} |
\section{Introduction}\label{sec:intro}
The empirical success of deep learning has thus far eluded interpretation through existing lenses of computational complexity \citep{Blum1988TrainingA3}, numerical optimization \citep{choromanska2015loss, Goodfellow2014QualitativelyCN, Dauphin2014IdentifyingAA} and classical ... | {
"timestamp": "2018-06-20T02:00:45",
"yymm": "1802",
"arxiv_id": "1802.08760",
"language": "en",
"url": "https://arxiv.org/abs/1802.08760"
} |
\section{Introduction}
In this paper we study existence of non-negative solutions of second order semi-linear problem posed on a $n$-dimensional Riemannian manifold $M$. In particular we consider the problem,
\begin{equation}\label{eq:sl-M}
\Delta_M u(x) +b(x)f(u(x))=0,\quad x\in M,\\
\end{equation}
where $\Delta_M$... | {
"timestamp": "2018-03-09T02:03:05",
"yymm": "1802",
"arxiv_id": "1802.08625",
"language": "en",
"url": "https://arxiv.org/abs/1802.08625"
} |
\section{Intruduction}
Phase transitions in two-dimensional systems with a continuous symmetry have long attracted much attentions since the theoretical prediction by Berezinskii, Kosterlitz and Thouless (BKT), providing a topological ordering through the binding of vortex-antivortex pairs \cite{Berezinskii,Kosterlitz... | {
"timestamp": "2018-02-27T02:02:31",
"yymm": "1802",
"arxiv_id": "1802.08763",
"language": "en",
"url": "https://arxiv.org/abs/1802.08763"
} |
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