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\section{Acknowledgment} {\bf\Large{Acknowledgement}} I thank Professor Kirk T. McDonald for bringing this issue to my attention and for sharing his unpublished note \cite{Kirk}, as well as for extensive discussions. \newpage
{ "timestamp": "2018-06-05T02:18:35", "yymm": "1806", "arxiv_id": "1806.01133", "language": "en", "url": "https://arxiv.org/abs/1806.01133" }
\section{Introduction} The extraction of physical laws from experimental data, often in the form of differential and partial differential equations, may be critical to science and engineering applications where governing equations are unknown. Time-series data collected from experiments, or as the macroscopic aggrega...
{ "timestamp": "2018-06-05T02:09:19", "yymm": "1806", "arxiv_id": "1806.00732", "language": "en", "url": "https://arxiv.org/abs/1806.00732" }
\subsection{Fully Connected Neural Networks} \label{subsec:conserved-fully-connected} We first formally define a fully connected feed-forward neural network with $N$ ($N\ge2$) layers. Let $\mathbf{W}^{(h)} \in \mathbb{R}^{n_h \times n_{h-1}}$ be the weight matrix in the $h$-th layer, and define $\vect{w} = ( \mathb...
{ "timestamp": "2018-11-01T01:14:46", "yymm": "1806", "arxiv_id": "1806.00900", "language": "en", "url": "https://arxiv.org/abs/1806.00900" }
\section{Introduction} \label{sec:Introduction} Mean field games were introduced by \cite{LasryLions.06a,LasryLions.06b,LasryLions.07} and \cite{HuangMalhameCaines.07, HuangMalhameCaines.06} to overcome the notorious intractability of $n$-player games. Two key simplifications are made. First, agents interact symmetric...
{ "timestamp": "2019-05-30T02:05:21", "yymm": "1806", "arxiv_id": "1806.00817", "language": "en", "url": "https://arxiv.org/abs/1806.00817" }
\section{Introduction} Behavioral Programming (BP) is a recently developed programming and modeling paradigm~\cite{harel2010programming}. Its inherent concurrent and modular nature offers a dynamic approach for the design and creation of modern software systems. Moreover, when written according to simple guidelines, ...
{ "timestamp": "2018-06-05T02:11:53", "yymm": "1806", "arxiv_id": "1806.00842", "language": "en", "url": "https://arxiv.org/abs/1806.00842" }
\section{Introduction} In the last two decades the chemistry of nitrogen, the fifth most abundant element in the Universe, has raised interest in the context of understanding the formation of interstellar materials and of our own Solar System. In particular, the isotopic ratio $^{14}$N/$^{15}$N seems to represent an ...
{ "timestamp": "2018-06-05T02:17:48", "yymm": "1806", "arxiv_id": "1806.01088", "language": "en", "url": "https://arxiv.org/abs/1806.01088" }
\section{Introduction} A common feature of online social networks (OSNs) is the possibility of individuals to continuously interact among themselves, by sharing contents and expressing opinions or ratings on different topics \cite{Amelkin2017, Tempo2017}. % % % % % We address such a context by considering...
{ "timestamp": "2018-06-05T02:15:19", "yymm": "1806", "arxiv_id": "1806.01003", "language": "en", "url": "https://arxiv.org/abs/1806.01003" }
\section{Mechanical model} Consider an inverted planar pendulum in a gravitational field with its pivot point moving along a horizontal line in the plane of the pendulum. The law of motion $\xi(t)$ of the pivot point is given and the pendulum is moving in the presence of dry friction. Let $l$ be the length of the pendu...
{ "timestamp": "2018-06-05T02:17:38", "yymm": "1806", "arxiv_id": "1806.01075", "language": "en", "url": "https://arxiv.org/abs/1806.01075" }
\subsection{Proof of Theorem \ref{theo:lo_exact}} \begin{theorem*} Let $T$ be the run time of a \oneone Algorithm on $LO_k^f$ to optimize a bit string of length $n$. It then holds that \begin{align*} E(T) = E\left(T^n_k\right) \frac{\left(\frac{n}{n-1}\right)^n-1}{\left(\frac{n}{n-1}\right)^k-1} \in \Thet...
{ "timestamp": "2018-06-05T02:18:28", "yymm": "1806", "arxiv_id": "1806.01128", "language": "en", "url": "https://arxiv.org/abs/1806.01128" }
\section{Introduction} \blfootnote{ \hspace{-0.65cm} * Equal contribution } \blfootnote{ \hspace{-0.65cm} This work is licensed under a Creative Commons Attribution 4.0 International License. License details: \url{http://creativecommons.org/licenses/by/4.0/} } The ...
{ "timestamp": "2019-03-18T01:02:15", "yymm": "1806", "arxiv_id": "1806.00807", "language": "en", "url": "https://arxiv.org/abs/1806.00807" }
\section{Introduction} A highlight in the theory of Drinfeld-Jimbo quantum groups is the construction of canonical bases by Lusztig and Kashiwara; cf. \cite{Lu93}. Let $(\mbf U, {\mbf U}^\imath)$ be a quantum symmetric pair of finite type \cite{Le99} (also cf. \cite{BK15}). A general theory of ($\imath$-)canonica...
{ "timestamp": "2018-06-05T02:12:43", "yymm": "1806", "arxiv_id": "1806.00878", "language": "en", "url": "https://arxiv.org/abs/1806.00878" }
\subsection{Introduction}\label{introduction} In 1972, May\textsuperscript{\protect\hyperlink{ref-May1972}{1}} first demonstrated that randomly assembled systems of sufficient complexity are almost inevitably unstable given infinitesimally small perturbations. Complexity in this case is defined by the size of the syst...
{ "timestamp": "2020-05-05T02:31:42", "yymm": "1806", "arxiv_id": "1806.01029", "language": "en", "url": "https://arxiv.org/abs/1806.01029" }
\section{Introduction} In a recent publication by Fornal \textit{et al.}~\cite{Fornal} a proposal was made to solve the persistent discrepancy between two methods of measuring the neutron life-time. Trapped neutrons in a bottle appear to have a shorter life-time than neutrons in a beam where the decay proton is detecte...
{ "timestamp": "2018-06-15T02:04:29", "yymm": "1806", "arxiv_id": "1806.00903", "language": "en", "url": "https://arxiv.org/abs/1806.00903" }
\section{Introduction} Parabolic vector bundles over Riemann surfaces with marked points were introduced by C. Seshadri in \cite{Sesh} and similar to the Narasimhan-Seshadri correspondence, there is an analogous correspondence between stable parabolic bundles and the unitary representations of the fundamental group of...
{ "timestamp": "2020-03-16T01:13:55", "yymm": "1806", "arxiv_id": "1806.00884", "language": "en", "url": "https://arxiv.org/abs/1806.00884" }
\section{Introduction} The fourth paradigm of data-intensive science, coined by Jim Gray \cite{4P}, rapidly became a major conceptual approach for multiple application domains encompassing and generating large-scale scientific drivers such as fusion reactors and light source facilities \cite{DOE1} \cite{DOE2}. Taking i...
{ "timestamp": "2018-06-05T02:18:13", "yymm": "1806", "arxiv_id": "1806.01110", "language": "en", "url": "https://arxiv.org/abs/1806.01110" }
\section{Introduction} It has long been clear that there is something peculiar about long wavelength gravitons on cosmological backgrounds \cite{Lifshitz:1945du}. Unlike photons, which are precluded by conformal invariance from locally perceiving the expansion of the Universe, inflationary expansion leads to the pr...
{ "timestamp": "2018-06-05T02:09:37", "yymm": "1806", "arxiv_id": "1806.00742", "language": "en", "url": "https://arxiv.org/abs/1806.00742" }
\section{Introduction} Calder\'on-Zygmund theory was first developed for the Poisson equation in \cite{CZ}, which related the integrability of the gradient of the solution for the Poisson equation with the associated data. This represented the starting point of obtaining a priori estimates in Sobolev spaces for elli...
{ "timestamp": "2018-06-05T02:14:03", "yymm": "1806", "arxiv_id": "1806.00944", "language": "en", "url": "https://arxiv.org/abs/1806.00944" }
\section{Introduction} \label{sec:Introduction} \IEEEPARstart{C}{}ooperative spectrum sensing is a key component of cognitive radio networks ($\ensuremath {\mathit{CRN}}{\xspace}$s) essential for enabling dynamic and opportunistic spectrum access~\cite{akyildiz2011,guizani2015large,khalfi2015distributed}. It consists ...
{ "timestamp": "2018-06-05T02:13:34", "yymm": "1806", "arxiv_id": "1806.00916", "language": "en", "url": "https://arxiv.org/abs/1806.00916" }
\chapter*{\bibname}\@mkboth{\MakeUppercase\bibname}{\MakeUppercase\bibname}}{\section*{References}}{}{} \makeatother \renewcommand{\theequation}{\arabic{equation}} \setlength{\textwidth}{17 cm} \setlength{\textheight}{23 cm} \setlength{\oddsidemargin}{0.3cm} \setlength{\evensidemargin}{0.3cm} \setlength{\h...
{ "timestamp": "2018-06-05T02:15:09", "yymm": "1806", "arxiv_id": "1806.00997", "language": "en", "url": "https://arxiv.org/abs/1806.00997" }
\section{Introduction} \label{intro} Deep neural networks have shown great success in learning representations from data, but effective training of a deep neural network requires a large number of training examples and many gradient-based optimization steps. This is mainly owing to a lack of prior knowledge when solvin...
{ "timestamp": "2018-06-05T02:12:12", "yymm": "1806", "arxiv_id": "1806.00852", "language": "en", "url": "https://arxiv.org/abs/1806.00852" }
\section{Introduction} For commercial fruit trees, the total light available to the tree and its distribution throughout the canopy is a primary factor leading to the production of quality fruit as explained by \cite{McFadyen2004}, as well as fruit characteristics including dry weight and oil concentration (\cite{conn...
{ "timestamp": "2018-06-05T02:18:21", "yymm": "1806", "arxiv_id": "1806.01118", "language": "en", "url": "https://arxiv.org/abs/1806.01118" }
\section{System Overview} The NECTEC team is a first-time participant in the VBS competition in 2018. We have presented a video retrieval system as an interactive browsing tool with a simple interface. The main system is designed to support two types of retrieval modes which are text-based retrieval and sketch-based r...
{ "timestamp": "2018-06-05T02:17:39", "yymm": "1806", "arxiv_id": "1806.01081", "language": "en", "url": "https://arxiv.org/abs/1806.01081" }
\section{Introduction} Let $M$ be an $n$-dimensional complex manifold endowed with a Hermitian metric $g$. Then, on the space of $(p,q)$-forms on $M$ there are defined several self-adjoint elliptic differential operators of order two, as the {\em Dolbeault Laplacian} $\Delta^g_{\overline{\del}}$ and of order four as ...
{ "timestamp": "2018-06-05T02:14:51", "yymm": "1806", "arxiv_id": "1806.00987", "language": "en", "url": "https://arxiv.org/abs/1806.00987" }
\section{Introduction} Compressive sensing (CS) has provided ways to sample and to compress signals at the same time with relatively long signal reconstruction time~\cite{Candes:2006eq, Donoho:2006ci}. The idea of combining image acquisition and compression immediately drew great attention in the application area...
{ "timestamp": "2018-12-20T02:18:44", "yymm": "1806", "arxiv_id": "1806.00961", "language": "en", "url": "https://arxiv.org/abs/1806.00961" }
\section{Introduction}\label{Sec:intro} Today's data-intensive applications like big data processing, live streaming~\cite{anysee} and graph analytics place heavy demands on memory capacity. DRAM scaling, however, is unable to fit the increasing memory requirement for petabyte-scale big data processing. Emerging byte-...
{ "timestamp": "2018-06-05T02:10:40", "yymm": "1806", "arxiv_id": "1806.00776", "language": "en", "url": "https://arxiv.org/abs/1806.00776" }
\section{Algorithm} \label{sec:algorithm} \vspace{-5pt} Learning in conservative interleaving bandits is non-trivial. For instance, one cannot simply construct exploratory sets $\rnd{D}_t$ using a non-conservative matroid bandit algorithm \citep{kveton2014matroid, talebi2016optimal}, and then take actions $\rnd{A}_t$ c...
{ "timestamp": "2018-06-05T02:13:04", "yymm": "1806", "arxiv_id": "1806.00892", "language": "en", "url": "https://arxiv.org/abs/1806.00892" }
\section{Introduction}\label{sec:intro} In the standard Maxwell theory of vacuum electrodynamics, the field strength tensor $F_{ab}$ (which comprises the vector fields $\vec{E}$ and $\vec{B}$ ) is related to the excitation tensor (which comprises the vector fields $\vec{D}$ and $\vec{H}$) by a linear constituti...
{ "timestamp": "2018-11-27T02:04:55", "yymm": "1806", "arxiv_id": "1806.00891", "language": "en", "url": "https://arxiv.org/abs/1806.00891" }
\section{Introduction} A major theme in set theory is the question of how much compactness can consistently exist in the universe. We regard an object as satisfying a {\it compactness principle} if whenever a property holds for all strictly smaller substructures of the object, then this property holds for the object...
{ "timestamp": "2018-06-05T02:11:32", "yymm": "1806", "arxiv_id": "1806.00820", "language": "en", "url": "https://arxiv.org/abs/1806.00820" }
\section{1. Introduction} \noindent As studying social media has become a major cross-disciplinary endeavor in the past decade, scholars have grappled with the numerous ethical and methodological questions that Internet researchers inevitably face on a daily basis. In the significant body of work about online research...
{ "timestamp": "2018-06-05T02:11:37", "yymm": "1806", "arxiv_id": "1806.00830", "language": "en", "url": "https://arxiv.org/abs/1806.00830" }
\section{Introduction} \label{sec:intro} The production of circularly polarized light from either an unpolarized or a partially polarized source involves the removal of either the left-circularly polarized or the right-circularly polarized component. One way of accomplishing this removal is by inserting a rotat...
{ "timestamp": "2018-06-05T02:14:49", "yymm": "1806", "arxiv_id": "1806.00986", "language": "en", "url": "https://arxiv.org/abs/1806.00986" }
\section{Introduction} Let $p$ and $q$ denote prime numbers. The binary (or strong) Goldbach conjecture asserts that any even $n > 2$ is of the form $p+q$. There is both strong heuristic evidence that this is true for sufficiently large $n$ and enormous numerical evidence that this is true for $n > 2$. The same he...
{ "timestamp": "2018-06-05T02:14:05", "yymm": "1806", "arxiv_id": "1806.00946", "language": "en", "url": "https://arxiv.org/abs/1806.00946" }
\section{Semantic Facts}\label{sec:analysis} In this section, we present the automated inference of control- and data-flow dependencies that \textsc{Securify}\xspace employs. The facts inferred in this process are called {\em semantic facts} and are later used for checking security properties. We begin with the backg...
{ "timestamp": "2018-08-27T02:09:09", "yymm": "1806", "arxiv_id": "1806.01143", "language": "en", "url": "https://arxiv.org/abs/1806.01143" }
\section{Introduction} Private learning concerns the design of learning algorithms for problems in which the input sample contains sensitive data that needs to be protected. Such problems arise in various contexts, including those involving social network data, financial records, medical records, etc. The notion of d...
{ "timestamp": "2019-03-11T01:15:32", "yymm": "1806", "arxiv_id": "1806.00949", "language": "en", "url": "https://arxiv.org/abs/1806.00949" }
\section{Introduction} The Internet of Things (IoT) has been connecting extraordinarily large number of smart devices to the Internet and driving the digital transformation of industry. Unfortunately, existing cloud-centric IoT systems have a number of significant disadvantages such as high system maintenance costs, sl...
{ "timestamp": "2018-06-05T02:14:08", "yymm": "1806", "arxiv_id": "1806.00951", "language": "en", "url": "https://arxiv.org/abs/1806.00951" }
\section{Introduction} Crowdsourcing platforms such as Mechanical Turk (MTurk), provide a new avenue for scalable, low-cost collection of relevance judgments for constructing Information Retrieval (IR) test collections \cite{alonso2009can}. However, quality of crowd judgments appears more variable than the traditional...
{ "timestamp": "2018-06-12T02:04:59", "yymm": "1806", "arxiv_id": "1806.00755", "language": "en", "url": "https://arxiv.org/abs/1806.00755" }
\section{ [Supplemental Material] } \end{document}
{ "timestamp": "2018-06-05T02:18:32", "yymm": "1806", "arxiv_id": "1806.01132", "language": "en", "url": "https://arxiv.org/abs/1806.01132" }
\section{Introduction} Fake news is written in an intentional and unverifiable language to mislead readers. It has a long history since the 19th century. In 1835, New York Sun published a series of articles about ``the discovery of life on the moon". Soon the fake stories were printed in newspapers in Europe. Similarly...
{ "timestamp": "2018-06-05T02:09:47", "yymm": "1806", "arxiv_id": "1806.00749", "language": "en", "url": "https://arxiv.org/abs/1806.00749" }
\section{Introduction } \IEEEPARstart{M}{assive} mutliple-input multiple-output (MIMO) is the term used to describe the practice of deploying a large number of antennas at the base station (BS), which is considered as a key technology for 5G \cite{5g2017_JSAC}. Although the benefits of massive MIMO are by now well und...
{ "timestamp": "2018-12-11T02:21:51", "yymm": "1806", "arxiv_id": "1806.00815", "language": "en", "url": "https://arxiv.org/abs/1806.00815" }
\section{Introduction} The sheer amount of data conveyed over the wireless medium requires novel concepts to be integrated into 5G (and beyond) transmission standards. A promising technique for more efficient spectrum utilization is RF (radio frequency) in-band full-duplex communication, where transmission and receptio...
{ "timestamp": "2018-06-05T02:15:23", "yymm": "1806", "arxiv_id": "1806.01004", "language": "en", "url": "https://arxiv.org/abs/1806.01004" }
\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\bfseries\scshape\centering}} \def\subsection{\@startsection{subsection}{2}% \z@{.5\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\bfseries\scshape}} \def\subsubsection{\@startsection{subsubse...
{ "timestamp": "2018-06-05T02:14:33", "yymm": "1806", "arxiv_id": "1806.00968", "language": "en", "url": "https://arxiv.org/abs/1806.00968" }
\section{Introduction} \label{sec:introduction} Our universe can be divided into two sectors: the visible and the dark. The visible sector of the universe is comprised of the standard model (SM) particles, whose constituents were all identified with the last discovery of the Higgs boson in 2012 \cite{Aad:2012tfa,Chatrc...
{ "timestamp": "2018-12-18T02:14:16", "yymm": "1806", "arxiv_id": "1806.00757", "language": "en", "url": "https://arxiv.org/abs/1806.00757" }
\section{Introduction} Consider two natural images, picture of a bird and picture of a cat for example, \textit{can we continuously transform the bird into the cat without ever generating a picture that is not neither bird nor cat?} In other words, \textit{is there a continuous transformation between the two that never...
{ "timestamp": "2019-01-14T02:05:26", "yymm": "1806", "arxiv_id": "1806.00880", "language": "en", "url": "https://arxiv.org/abs/1806.00880" }
\section{Introduction} Modeling textual relevance between document query pairs lives at the heart of information retrieval (IR) research. Intuitively, this enables a wide assortment of real life applications, ranging from standard web search to automated chatbots. The key idea is that these systems learn a scoring func...
{ "timestamp": "2018-06-05T02:10:42", "yymm": "1806", "arxiv_id": "1806.00778", "language": "en", "url": "https://arxiv.org/abs/1806.00778" }
\section{Introduction \label{sec:Introduction} Eigenvalue computations are at the core of simulations in various application areas, including quantum physics and electronic structure computations. Being able to best utilize the capabilities of current and emerging high-end computing systems is essential for f...
{ "timestamp": "2018-06-05T02:16:27", "yymm": "1806", "arxiv_id": "1806.01036", "language": "en", "url": "https://arxiv.org/abs/1806.01036" }
\section*{Introduction} The Yang--Baxter equation was first introduced in the field of statistical mechanics. It depends on the idea that in some scattering situations particles may preserve their momentum while changing their quantum internal states. The equation states that a matrix $R$ satisfies \[ (R\otime...
{ "timestamp": "2018-09-25T02:12:54", "yymm": "1806", "arxiv_id": "1806.01127", "language": "en", "url": "https://arxiv.org/abs/1806.01127" }
\section{Introduction} Green peas (GPs) are a local population of compact ($<3$\,kpc), low-mass ($10^{8-10}M_\odot$) galaxies with strong optical emission lines \citep{Cardamone09,Izotov11} found at redshifts $z<0.5$. Their popular name was coined by the citizen science {\em Galaxy Zoo} project \citep{Lintott08},...
{ "timestamp": "2018-06-05T02:16:03", "yymm": "1806", "arxiv_id": "1806.01027", "language": "en", "url": "https://arxiv.org/abs/1806.01027" }
\section{Introduction} \label{section:Introduction} The Galactic Center is a very active region. It is filled with stars, dust, gas at different temperatures and different ionization states, and an accreting super massive black hole (SMBH) at the very center of the region, i.e. Sagittarius A* (SgrA*, for an overview s...
{ "timestamp": "2018-06-05T02:17:59", "yymm": "1806", "arxiv_id": "1806.01096", "language": "en", "url": "https://arxiv.org/abs/1806.01096" }
\section{Introduction} In recent times $B$ physics is going through a challenging phase, several anomalies at the level of $(3-4) \sigma$ \cite{RK-exp, RDstar-LHCb, RKstar-exp, phi-decayrate, Kstar-decayrate, P5p, isospin-kstar} have been observed by the LHCb Collaboration in the rare flavour changing neutral curren...
{ "timestamp": "2018-06-05T02:16:49", "yymm": "1806", "arxiv_id": "1806.01048", "language": "en", "url": "https://arxiv.org/abs/1806.01048" }
\section{Modified quadrupole formula} The IDG equations of motion for a perturbation $h_{\mu\nu}$ around a flat background $\eta_{\mu\nu}$ are given by \cite{Biswas:2011ar} \begin{widetext} \begin{eqnarray} -\kappa T_{\mu\nu} = \frac{1}{2} \bigg[a(\Box)\left(\Box h_{\mu\nu} -\partial_\sigma \l...
{ "timestamp": "2018-08-21T02:09:01", "yymm": "1806", "arxiv_id": "1806.00845", "language": "en", "url": "https://arxiv.org/abs/1806.00845" }
\section{Introduction} Although deep neural networks have achieved tremendous success in many domains (e.g., computer vision~\cite{Alexnet12,vggnet15,fastrcnn15}, speech recognition~\cite{hinton2012deep,dahl2012context}, natural language processing~\cite{dahl2012context,collobert2011natural}, games~\cite{silver2017mast...
{ "timestamp": "2018-06-05T02:12:11", "yymm": "1806", "arxiv_id": "1806.00851", "language": "en", "url": "https://arxiv.org/abs/1806.00851" }
\section{} \section{acknowledgements}I thank Andrew MacPherson and Benjamin Hennion for numerous useful conversations. Further I thank Ian Grojnowski for shaping my entire outlook on Algebraic Geometry. Finally I thank MPIM Bonn for wonderful working conditions. \section{INTRODUCTION} If $M$ is, say, a manifold, then ...
{ "timestamp": "2018-06-05T02:12:16", "yymm": "1806", "arxiv_id": "1806.00859", "language": "en", "url": "https://arxiv.org/abs/1806.00859" }
\section{Introduction} Indoor space is likely to be the main workplace for service robots in the near future. In order to work well in an indoor space, the robots should possesses the ability of visual scene understanding. To do so, the semantic segmentation in indoor scene is becoming one of the most popular tasks in...
{ "timestamp": "2018-08-07T02:22:27", "yymm": "1806", "arxiv_id": "1806.01054", "language": "en", "url": "https://arxiv.org/abs/1806.01054" }
\section{Experiments} \begin{table}[t] \begin{center} \begin{tabular}{cccc} \toprule[1.5pt] KWDLC & \# snt & \# of dep & \# of zero \\ \midrule Train & 11,558 & 9,227 & 8,216 \\ Dev. & 1,585 & 1,253 & 821 \\ Test & 2,195 & 1,780 & 1,669 \\ \bottomrule[1.5...
{ "timestamp": "2018-06-06T02:05:13", "yymm": "1806", "arxiv_id": "1806.00971", "language": "en", "url": "https://arxiv.org/abs/1806.00971" }
\section{Introduction} \label{sec:1} Let $k$ be a perfect field of characteristic $p > 2$, and let $W(k)$ be its ring of Witt vectors. Let $K$ be a finite totally ramified extension over $W(k)[\frac{1}{p}]$, and denote by $\mathcal{O}_K$ its ring of integers. Let $R_0$ be an unramified relative base ring over $W(k)\la...
{ "timestamp": "2018-10-16T02:09:28", "yymm": "1806", "arxiv_id": "1806.00867", "language": "en", "url": "https://arxiv.org/abs/1806.00867" }
\section{Introduction}\label{sec:introduction} An \emph{axiomatic theory} (\emph{theory} for short) is a set of axioms that specifies a set of mathematical structures. For example, the usual axioms for a group specify the mathematical structures that contain an associative binary function with an identity element an...
{ "timestamp": "2018-12-04T02:09:53", "yymm": "1806", "arxiv_id": "1806.00810", "language": "en", "url": "https://arxiv.org/abs/1806.00810" }
\section{Introduction} Measuring the magnitude of quantum chaos is an important fundamental problem which has several applications \cite{qsr_FrischNature2000,qsr_PokharelSciRep2018,qsr_ChenarXiv2018}. It is well known that certain quantum mechanical systems are dynamically equivalent to black holes in quantum gravity ...
{ "timestamp": "2018-07-09T02:09:43", "yymm": "1806", "arxiv_id": "1806.00781", "language": "en", "url": "https://arxiv.org/abs/1806.00781" }
\section{Introduction} In general, the superconducting order parameter is a function of two coordinates and two spin indices $\Delta_{\alpha,\beta}({\bf r}, {\bf r}')$. Conventional low-$T_c$ superconductors have a singlet order parameter with $s$-wave symmetry which can be described by a complex field $\Delta_{s} ({...
{ "timestamp": "2018-09-11T02:22:36", "yymm": "1806", "arxiv_id": "1806.00912", "language": "en", "url": "https://arxiv.org/abs/1806.00912" }
\section{Introduction} Hundreds of thousands of studies, case reports, or patient records, capture observations in human neuroscience, basic or clinical. Statistical analysis of this large amount of data could provide new insights. Unfortunately, most of the spatial information that these data contain is difficult to ...
{ "timestamp": "2018-06-29T02:07:20", "yymm": "1806", "arxiv_id": "1806.01139", "language": "en", "url": "https://arxiv.org/abs/1806.01139" }
\section{Introduction} \label{sec:introduction} The quest for modules inside a network is a well-known and deeply studied problem in network analysis, with several application in different fields, like computational biology or social network analysis. A highly investigated problem is that of finding cohesive subgroup...
{ "timestamp": "2018-06-05T02:18:22", "yymm": "1806", "arxiv_id": "1806.01119", "language": "en", "url": "https://arxiv.org/abs/1806.01119" }
\section{Introduction} The problem of classifying constant scalar curvature compact hypersurfaces in Euclidean space was proposed by Yau in the problem section of \cite{yau}. One would like to know, for example, if Alexandrov's theorem \cite{aleksandrov}, which states that spheres are the only compact constant mean ...
{ "timestamp": "2018-06-05T02:18:22", "yymm": "1806", "arxiv_id": "1806.01120", "language": "en", "url": "https://arxiv.org/abs/1806.01120" }
\section{Introduction.} The purpose of the present paper is to explore the norm attainment set and the minimum norm attainment set of a bounded linear operator between Hilbert (Banach) spaces. We would like to remark that such a study was initiated by Carvajal and Neves \cite{C,Ca}, for bounded linear operators betwe...
{ "timestamp": "2018-06-05T02:16:57", "yymm": "1806", "arxiv_id": "1806.01051", "language": "en", "url": "https://arxiv.org/abs/1806.01051" }
\section{Introduction and main results}\label{intro} \subsection{The Bessel operator} Let $N\in \mathbb{N}} \newcommand{\Nn}{\mathbf{N}} \newcommand{\nn}{\mathcal{N}$ and $\a = (\a_1, ... , \a_N)$, where $\a_j > -1$ for $j=1,...,N$. Consider the space $X= (0,\infty)^N$ equipped with the Euclidean metric and the measu...
{ "timestamp": "2020-05-19T02:08:52", "yymm": "1806", "arxiv_id": "1806.01060", "language": "en", "url": "https://arxiv.org/abs/1806.01060" }
\section{Introduction} Over the past few years, generating text from images and videos has gained a lot of attention in the Computer Vision and Natural Language Processing communities and several related tasks have been proposed, such as image labeling, image and video description and visual question answering. In par...
{ "timestamp": "2018-06-05T02:09:27", "yymm": "1806", "arxiv_id": "1806.00738", "language": "en", "url": "https://arxiv.org/abs/1806.00738" }
\section{Introduction} Massive amounts of medical knowledge are encapsulated in the form of noisy, unstructured text in sources such as social media and clinical notes. As the volume of electronically available unstructured text continues to surge, the knowledge contained within these resources is becoming increasingl...
{ "timestamp": "2018-06-05T02:13:27", "yymm": "1806", "arxiv_id": "1806.00910", "language": "en", "url": "https://arxiv.org/abs/1806.00910" }
\section*{Acknowledgements} We thanks Chen Zhang, Zhi-Yuan Xie for helpful discussions, and Hubert Scherrer-Paulus for technical supports on Google Tensorflow and GPU. F. Pollmann acknowledges support from DFG through Research Unit FOR 1807 with grant no.\ PO 1370/2-1 and from the Nanosystems Initiative Munich (NIM) b...
{ "timestamp": "2019-03-19T01:23:04", "yymm": "1806", "arxiv_id": "1806.00829", "language": "en", "url": "https://arxiv.org/abs/1806.00829" }
\section{Introduction} Entanglement is a unique feature of quantum systems, which distinguishes them profoundly from classical ones. In a quantum system a convenient measure of entanglement is the entanglement entropy. In quantum theory one defines the entanglement entropy between two sets of degrees of freedom, say...
{ "timestamp": "2018-06-05T02:17:51", "yymm": "1806", "arxiv_id": "1806.01089", "language": "en", "url": "https://arxiv.org/abs/1806.01089" }
\section{Introduction} Spallation reactions induced by high-energy protons or neutrons are of vital importance for both fundamental research and technical applications. The most important areas of application of these reactions are the spallation neutron sources \cite{Clausen-2003,ESS}, the energy production techniqu...
{ "timestamp": "2018-06-05T02:10:28", "yymm": "1806", "arxiv_id": "1806.00767", "language": "en", "url": "https://arxiv.org/abs/1806.00767" }
\section{\label{sec:level1}Introduction} Recently, antihydrogen ($\bar{\mathrm{H}}$) atoms have been produced \cite{ASACUSA} in a unique cusp trap \cite{MY,YY,DC} developed for the in-flight hyperfine spectroscopy of ground state $\bar{\mathrm{H}}$ atoms \cite{SMI,HFS1,HFS2}. The most recent progress is reported in \ci...
{ "timestamp": "2018-06-07T02:09:43", "yymm": "1806", "arxiv_id": "1806.00959", "language": "en", "url": "https://arxiv.org/abs/1806.00959" }
\section{Introduction} \label{sec:introduction} \makeatletter{}System security continues to be an arms race between intruders and defenders. In this arms race, attackers adapt in response to defense mechanisms and \emph{always} win. Defeating attackers requires rethinking traditional defeat- and exploit-based mitigatio...
{ "timestamp": "2018-06-05T02:13:55", "yymm": "1806", "arxiv_id": "1806.00934", "language": "en", "url": "https://arxiv.org/abs/1806.00934" }
\section*{Proof of Theorem~\ref{theom:markov}} The next two lemmas are useful towards proving Theorem~\ref{theom:markov}. Lemma~\ref{lemma:meanvar} shows how the variance in a Monte Carlo estimator reduces as a function of the number of samples. \begin{lemma} \label{lemma:meanvar} For $Y$ a random variable with mea...
{ "timestamp": "2019-05-03T02:04:49", "yymm": "1806", "arxiv_id": "1806.00917", "language": "en", "url": "https://arxiv.org/abs/1806.00917" }
\section{Primal-dual Distributed Incremental Aggregated Gradient Method}\vspace{-.1cm}\label{sec:iag} We are ready to introduce our algorithm for solving the optimization problem in \eqref{eq:opt_pd}. Since $\prm $ is shared by all the $N$ agents, the agents need to exchange information so as to reach a consensual so...
{ "timestamp": "2019-01-10T02:04:13", "yymm": "1806", "arxiv_id": "1806.00877", "language": "en", "url": "https://arxiv.org/abs/1806.00877" }
\section{Preliminaries} We use the following notation $\partial_j=\partial/\partial x_j$, $\theta_j = x_j\,\partial_j$. For a multiindex $\alpha\in\N_0^d$ we set $\partial^\alpha = \partial_1^{\alpha_1}..\partial_d^{\alpha_d}$, likewise for $\theta^\alpha$. For a polynomial $P(z)=\sum_\alpha c_\alpha z^\alpha$ we cons...
{ "timestamp": "2018-06-05T02:10:13", "yymm": "1806", "arxiv_id": "1806.00763", "language": "en", "url": "https://arxiv.org/abs/1806.00763" }
\section{Introduction} \label{sec:intro} The virtual element method (VEM) was proposed in~\cite{BeiraodaVeiga-Brezzi-Cangiani-Manzini-Marini-Russo:2013} as a variational reformulation of the \emph{nodal} mimetic finite difference (MFD) method~\cite{% BeiraodaVeiga-Manzini-Putti:2015,% BeiraodaVeiga-Lipnikov-Manzin...
{ "timestamp": "2018-06-05T02:12:46", "yymm": "1806", "arxiv_id": "1806.00879", "language": "en", "url": "https://arxiv.org/abs/1806.00879" }
\section{Introduction} Killing vector fields generate the isometries of a manifold and they constitute a Lie algebra structure called the symmetry algebra of the manifold under the Lie bracket of vector fields. A manifold admitting a spin structure is called a spin manifold and the isometries of a spin manifold are ...
{ "timestamp": "2018-06-05T02:17:38", "yymm": "1806", "arxiv_id": "1806.01079", "language": "en", "url": "https://arxiv.org/abs/1806.01079" }
\section{Introduction} \subsection*{Background material and motivations} Let $(x,y,z)$ be a system of coordinates in $\mathbb{R}^3$. The \emph{symmetric contact structure} on $\mathbb{R}^{3}$ is the plane distribution $\xi_{sym}=ker(dz + xdy - ydx)$. A \emph{link} is a smooth embedding of a number of copies of $\mathb...
{ "timestamp": "2019-09-17T02:14:21", "yymm": "1806", "arxiv_id": "1806.00752", "language": "en", "url": "https://arxiv.org/abs/1806.00752" }
\section*{Unscreened potential} Let the dielectric constant of the environment be $\varepsilon_1$, that of the film be $\varepsilon_2$, and their ratio be denoted as $\varepsilon = \varepsilon_2/\varepsilon_1$. The $z$-axis is normal to the plane of the film (see Fig. 1) and we consider the film to be infinite in the...
{ "timestamp": "2018-06-05T02:14:42", "yymm": "1806", "arxiv_id": "1806.00976", "language": "en", "url": "https://arxiv.org/abs/1806.00976" }
\section{Introduction} Let $L_{\theta}$ be the line through the origin in direction $\theta$, and $Proj_{\theta}$ denotes the orthogonal projection onto $L_{\theta}$. Given two Borel sets $A,B\in \mathbb{R}$, analyzing the set $Proj_{\theta}(A\times B)$ is a crucial topic in geometric measure theory. The classi...
{ "timestamp": "2018-06-13T02:06:21", "yymm": "1806", "arxiv_id": "1806.01080", "language": "en", "url": "https://arxiv.org/abs/1806.01080" }
\chapter{Preliminaries} \label{chapter:Preliminaries} \section{Some Basic Definitions} \label{section:Some Basic Definitions} Let $F$ be a field. An \textbf{algebra} $A$ over $F$ is an $F$-vector space together with a bilinear map $A \times A \rightarrow A, (x,y) \mapsto xy$, which we call the \textbf{multiplication} ...
{ "timestamp": "2018-06-05T02:11:33", "yymm": "1806", "arxiv_id": "1806.00822", "language": "en", "url": "https://arxiv.org/abs/1806.00822" }
\section{Introduction} Collective behavior of motile elements is ubiquitous in wide varieties of living systems ranging from molecular level to cellular level and even in individual animal levels. In these hierarchical systems, each motile element dissipates energy and transduces it into motion \cite{Vicsek2012,Wu2009...
{ "timestamp": "2018-06-05T02:16:50", "yymm": "1806", "arxiv_id": "1806.01049", "language": "en", "url": "https://arxiv.org/abs/1806.01049" }
\section{Introduction} The dynamics of interacting population species can be described macroscopically by cross-diffusion equations. A well-known model example is the deterministic Shigesada-Kawasaki-Teramoto population system \cite{SKT79}. It can be derived formally from a random-walk model on lattices for transition...
{ "timestamp": "2018-06-05T02:18:24", "yymm": "1806", "arxiv_id": "1806.01124", "language": "en", "url": "https://arxiv.org/abs/1806.01124" }
\section{ Introduction} Throughout this paper all algebras and vector spaces will be over the complex field $\mathbb{C}$. Let $A$ be an algebra and $M$ be an $A$-bimodule. Recall that a linear map $D:A\rightarrow M$ is said a \textit{derivation} if $D(ab) = aD(b)+D(a)b $ for all $a, b \in A$. Each map of the form $a \m...
{ "timestamp": "2018-06-05T02:15:55", "yymm": "1806", "arxiv_id": "1806.01019", "language": "en", "url": "https://arxiv.org/abs/1806.01019" }
\section*{Acknowledgments}\label{sec:Acknowledgments} This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement n$\degree$ 740435).}\fi} \section{Introduction} \label{sec:intro} Recommendation systems (RSs here...
{ "timestamp": "2018-10-19T02:11:18", "yymm": "1806", "arxiv_id": "1806.00955", "language": "en", "url": "https://arxiv.org/abs/1806.00955" }
\section{Coherence Time}\label{sec:coh} In the same style that the channel coherence time is defined in~\cite{620535}, we define the \textit{interference coherence time} to be the time lag until the auto-correlation function of the interference becomes small and hence the interference becomes stochastically independe...
{ "timestamp": "2018-06-05T02:17:53", "yymm": "1806", "arxiv_id": "1806.01091", "language": "en", "url": "https://arxiv.org/abs/1806.01091" }
\section{Introduction} Advancements in developing high-performance hardware platforms like GPUs have been a significant enabler for shifting machine learning (ML) models, such as neural networks, from rather theoretical concepts to practical solutions to a wide variety of problems. % % However, computational and s...
{ "timestamp": "2018-06-05T02:12:40", "yymm": "1806", "arxiv_id": "1806.00875", "language": "en", "url": "https://arxiv.org/abs/1806.00875" }
\section{Introduction} We analyze the behavior of an anisotropic one-phase Stefan-type problem with periodic coefficients on an exterior domain in a dimension $n \geq 3$. Our purpose is to investigate the asymptotic behavior of the solution of the problem \eqref{Stefan} below and its free boundary as time $t \to \inft...
{ "timestamp": "2018-06-05T02:11:39", "yymm": "1806", "arxiv_id": "1806.00832", "language": "en", "url": "https://arxiv.org/abs/1806.00832" }
\section{Introduction} In the field of the embedded systems, SoC chips have played an important role in the evolution of this technology area. The most recent SoC chips have several peripherals that increase the range of applications that can be used for. Some of these peripherals are used for digital, analog, mixed-s...
{ "timestamp": "2018-06-05T02:18:10", "yymm": "1806", "arxiv_id": "1806.01106", "language": "en", "url": "https://arxiv.org/abs/1806.01106" }
\section{Introduction} Categorisation, as understood in cognitive psychology, can be described as producing a category label for a given stimulus based on its perceived properties. The same task is known as classification in machine learning, and the method which carries out the task is called a classifier. Computatio...
{ "timestamp": "2018-06-05T02:18:30", "yymm": "1806", "arxiv_id": "1806.01130", "language": "en", "url": "https://arxiv.org/abs/1806.01130" }
\section{Introduction} The analysis of multivariate data is often complicated by high dimensionality and complex inter-dependences between the observed variables. In order to identify patterns in such data it is therefore desirable and often necessary to separate different aspects of the data. In multivariate statist...
{ "timestamp": "2019-10-31T01:19:23", "yymm": "1806", "arxiv_id": "1806.01094", "language": "en", "url": "https://arxiv.org/abs/1806.01094" }
\section{\label{}} In nature, an inversion of the occupation probabilities of quantum states is clearly quite artificial since the standard thermal situation leads to the opposite - to a Boltzmann distribution over the energy levels where lower levels are populated exponentially larger than higher ones. Typically such...
{ "timestamp": "2018-08-29T02:02:24", "yymm": "1806", "arxiv_id": "1806.01057", "language": "en", "url": "https://arxiv.org/abs/1806.01057" }
\section*{Supplementary Material} \renewcommand{\thesubsection}{\Alph{subsection}} \subsection{Algorithmic Illustration of LCC } \label{app:alg} \begin{algorithm} \caption{LCC Encoding (Precomputation)}\label{euclid} \begin{algorithmic}[1] \Procedure{Encode}{$X_1,X_2,...,X_K,T$}\Comment{Encode inputs variables acc...
{ "timestamp": "2019-04-03T02:01:52", "yymm": "1806", "arxiv_id": "1806.00939", "language": "en", "url": "https://arxiv.org/abs/1806.00939" }
\subsection{{HTM+PM} Basics} Hardware Transactional Memory, or HTM, was introduced in ~\cite{htm} as a new, easy-to-use method for lock-free synchronization supported by hardware. The initial instructions for HTM included load and store transactional instructions in addition to transactional management instructions....
{ "timestamp": "2018-06-05T02:18:12", "yymm": "1806", "arxiv_id": "1806.01108", "language": "en", "url": "https://arxiv.org/abs/1806.01108" }
\section{Introduction} Coronal jets, first discovered in soft X-ray on Yohkoh satellite (Shibata et al. 1992), are transient and collimated plasma flows. Coronal jets represent a group of impulsive events in different scales and develop in different layers of the solar atmosphere, including spicules, H$\alpha$ surges, ...
{ "timestamp": "2018-06-05T02:14:18", "yymm": "1806", "arxiv_id": "1806.00957", "language": "en", "url": "https://arxiv.org/abs/1806.00957" }
\section{Introduction and basics of the Neumann-Poincar\'e operator}\label{sec:introduction} The Neumann-Poincar\'e operator $\mathcal K_{\Gamma}$ and its formal adjoint $\mathcal K_{\Gamma}^*$ are boundary-integral operators associated with the double-layer harmonic potential and the normal derivative of the single-l...
{ "timestamp": "2019-03-05T02:15:09", "yymm": "1806", "arxiv_id": "1806.00950", "language": "en", "url": "https://arxiv.org/abs/1806.00950" }
\section{Introduction} Popular recurrent neural networks in NLP, such as the Gated Recurrent Unit \citep{gru} and Long Short-Term Memory \citep{lstm}, compute sentence representations by reading their words in a sequence. In contrast, the Tree-LSTM architecture \citep{tree_lstm} processes words according to an input p...
{ "timestamp": "2018-06-05T02:11:42", "yymm": "1806", "arxiv_id": "1806.00840", "language": "en", "url": "https://arxiv.org/abs/1806.00840" }
\section{Introduction} { Random walks on a plane, whether simple, biased, or correlated, have a long history of being employed by ecologists to model the movement of animals, micro-organisms, and cells on a small time scale. By the functional Central Limit Theorem, from an appropriate distance any random walk (under s...
{ "timestamp": "2018-06-05T02:12:06", "yymm": "1806", "arxiv_id": "1806.00849", "language": "en", "url": "https://arxiv.org/abs/1806.00849" }
\section{Introduction} We study periodic solutions to the Navier-Stokes equations. Such solutions appear in the laminar regime for the flow around an obstacle but they can also be induced by a periodic forcing. Here we investigate this second case which is easier as the frequency of oscillation is known from the probl...
{ "timestamp": "2019-12-30T02:05:27", "yymm": "1806", "arxiv_id": "1806.00906", "language": "en", "url": "https://arxiv.org/abs/1806.00906" }
\section{Path Probability Importance Weights} \label{sec:ppiw} Given the \textit{Probability Density Function}s (PDFs) $p_a$ of a sampler and the number of samples $n_a$ drawn from this sampler, the \textit{Balance Heuristic} is \begin{equation} w_a = \frac{n_a p_a}{\sum_b n_b p_b} = \frac{1}{1+\sum_{b\neq a} \frac...
{ "timestamp": "2018-09-07T02:06:31", "yymm": "1806", "arxiv_id": "1806.01005", "language": "en", "url": "https://arxiv.org/abs/1806.01005" }
\section{Introduction} The R\'enyi entropy of the probability density $\rho(\vec{r}), \vec{r} = (x_1 , \ldots , x_D),$ which characterizes the quantum state of a $D$-dimensional physical system is defined \cite{renyi1,renyi2} as \begin{equation} \label{eq:renentrop} R_{q}[\rho] = \frac{1}{1-q}\log W_{q}[\rho], \q...
{ "timestamp": "2018-06-05T02:14:47", "yymm": "1806", "arxiv_id": "1806.00982", "language": "en", "url": "https://arxiv.org/abs/1806.00982" }
\section{Introduction} The famous Banach--Mazur game was invented by Mazur in 1935. For the history of game theory and facts about game the reader is referred to the survey \cite{Telgarsky}. Let $X$ be a topological space and $X=A\cup B$ be any given decomposition of $X$ into two disjoint sets. The game $BM(X,A,...
{ "timestamp": "2018-06-05T02:10:51", "yymm": "1806", "arxiv_id": "1806.00785", "language": "en", "url": "https://arxiv.org/abs/1806.00785" }
\section{Conclusions}\label{section:discussion} We propose \emph{iFair}, a generic and versatile, unsupervised framework to perform a probabilistic transformation of data into individually fair representations. Our approach accomodates two important criteria. First, we view fairness from an application-agnostic vie...
{ "timestamp": "2019-02-07T02:17:55", "yymm": "1806", "arxiv_id": "1806.01059", "language": "en", "url": "https://arxiv.org/abs/1806.01059" }