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\section{Introduction} Quantum theory (QT) is one of the most fundamental, and accurate, mathematical descriptions of our physical world. It dates back to the 1920s, and in spite of nearly one century passed by since its inception, we do not have a clear understanding of such a theory yet. In particular, we cannot ...
{ "timestamp": "2019-02-12T02:13:15", "yymm": "1902", "arxiv_id": "1902.03513", "language": "en", "url": "https://arxiv.org/abs/1902.03513" }
\section{Introduction} \label{s:intro} All graphs in this paper are assumed to be simple, unless stated otherwise. A (simple) graph is {\bf $k$-connected} if it has $k$ pairwise internally node disjoint paths between every pair of its nodes; in this case the graph has at least $k+1$ nodes. A subset $S$ of node...
{ "timestamp": "2019-02-12T02:15:43", "yymm": "1902", "arxiv_id": "1902.03548", "language": "en", "url": "https://arxiv.org/abs/1902.03548" }
\part{Modules of Solutions to Differential Equations} Let $\mathscr{R}$ denote the ring of real polynomials on $\mathbb{R}^{n}$. Fix $m\geq 0$, and let $A_{1},\cdots ,A_{M}\in \mathscr{R}$. The \underline{$% C^{m}$-closure} of $\left( A_{1},\cdots ,A_{M}\right) $, denoted here by $% \left[ A_{1},\cdots ,A_{M};C^{m}\r...
{ "timestamp": "2019-02-12T02:21:50", "yymm": "1902", "arxiv_id": "1902.03692", "language": "en", "url": "https://arxiv.org/abs/1902.03692" }
\section{Introduction} Control sets are geometric objects reflecting the structural properties of the family of all reachable sets of a given control system \cite{Coloniusbook}. They also happen to be a very helpful geometric tool for investigating the stability properties of linear switched systems. For a lin...
{ "timestamp": "2019-02-12T02:23:52", "yymm": "1902", "arxiv_id": "1902.03757", "language": "en", "url": "https://arxiv.org/abs/1902.03757" }
\section{Introduction} A celebrated result of Beniamino Segre \cite[n. 91]{Segre:1965aa} is that if there exists a nonempty proper subset $S$ of the point set $\calP$ of the elliptic quadric $\mathsf{Q}^-(5,q)$, $q$ odd, such that every generator meets $S$ in a constant number $m$ of points, then $m=(q+1)/2$. Such a s...
{ "timestamp": "2019-02-12T02:21:55", "yymm": "1902", "arxiv_id": "1902.03695", "language": "en", "url": "https://arxiv.org/abs/1902.03695" }
\section{Introduction} Advances in nano-electromechanical systems~\cite{ekinci_nanoelectromechanical_2005}, optomechanics~\cite{aspelmeyer_cavity_2014} and quantum computation~\cite{ladd_quantum_2010} have fuelled a resurgence in the field of phononic circuits. The field is motivated by the prospect to generate, route...
{ "timestamp": "2019-02-12T02:23:41", "yymm": "1902", "arxiv_id": "1902.03750", "language": "en", "url": "https://arxiv.org/abs/1902.03750" }
\section{Introduction} \label{sec:intro} The definition of planet habitability has been based in the last decades on the orbital distance \citep[or habitable zone, hereafter HZ,][]{Kasting.etal:93} at which the steady stellar irradiation allows for a temperature consistent with the presence of liquid water on the plan...
{ "timestamp": "2019-02-12T02:22:57", "yymm": "1902", "arxiv_id": "1902.03732", "language": "en", "url": "https://arxiv.org/abs/1902.03732" }
\section{Introduction } We consider Quantum Electrodynamics in $2+1$ dimensions (QED$_3$) which is described by the Lagrangian: \begin{equation} L = \overline \Psi ( i \hat \partial - e \hat A ) \Psi - \frac{1}{4} F_{ \mu \nu}^2\, , \label{L-QED3} \end{equation} where $ \Psi$ is taken to be a four component complex sp...
{ "timestamp": "2019-03-13T01:13:17", "yymm": "1902", "arxiv_id": "1902.03790", "language": "en", "url": "https://arxiv.org/abs/1902.03790" }
\section{Assembling Variables' Internal Candidates}\label{sec:Advancing} In this section, we present another optimization technique: assembling variables' internal candidates. This technique is based on using the internal candidates of all variables in each site to filter out some false positives. Existing RDF datab...
{ "timestamp": "2019-02-18T02:14:53", "yymm": "1902", "arxiv_id": "1902.03700", "language": "en", "url": "https://arxiv.org/abs/1902.03700" }
\section{Introduction} One of the oldest and most classical theorems in number theory is perhaps the infinitude of \emph{primitive Pythagorean triples}, that is, positive integer triples $(x, y, z)$ without common factor satisfying $x^2 + y^2 = z^2$. Less known is the fact that the set of all such triples can be equi...
{ "timestamp": "2019-02-12T02:16:24", "yymm": "1902", "arxiv_id": "1902.03571", "language": "en", "url": "https://arxiv.org/abs/1902.03571" }
\section{Introduction}\vspace{-0.3pt} Colorectal cancer (CRC), also known as bowel cancer or colon cancer, is the development of cancer from the colon or rectum and accounts for about 10\% of all cancer cases worldwide \cite{Kuip2015}. Precise diagnosis and prognosis are very important in the choice of the most approp...
{ "timestamp": "2019-03-12T01:12:05", "yymm": "1902", "arxiv_id": "1902.03582", "language": "en", "url": "https://arxiv.org/abs/1902.03582" }
\section{Introduction} The dynamics of Abrikosov vortices in superconductors is usually restricted to vortex velocities $v \backsimeq 1$\,km \cite{Lar75etp,Lar86inb,Bez92pcs,Shk17prb,Mus80etp,Vol92fnt,Xia99prb,Per05prb,Sil12njp,Gri15prb} due to the presence of normal excitations (quasiparticles) in the vortex cores. W...
{ "timestamp": "2019-02-12T02:24:02", "yymm": "1902", "arxiv_id": "1902.03761", "language": "en", "url": "https://arxiv.org/abs/1902.03761" }
\section{\bf Introduction} \setcounter{equation}{0} \noindent Mean-square dynamical behavior is one of the important concepts to describe the flows produced by SDEs or random differential equations (RDEs). This is due to the fact that in the case of mean-square setting, the dynamical behavior of SDEs and RDEs a...
{ "timestamp": "2019-02-12T02:21:47", "yymm": "1902", "arxiv_id": "1902.03687", "language": "en", "url": "https://arxiv.org/abs/1902.03687" }
\section{Introduction} \setcounter{equation}{0} Bohmian Mechanics (for an introduction, see \cite{Duerr}) is often presented as an approach to quantum theory that has an ``ontology'', meaning that it is {\em about} particles that are characterized by their positions and is in that sense realistic. The price to pay is ...
{ "timestamp": "2019-02-12T02:23:46", "yymm": "1902", "arxiv_id": "1902.03752", "language": "en", "url": "https://arxiv.org/abs/1902.03752" }
\section{Introduction} Fundametal forces---gravity, electrodynamics, and strong nuclear---exhibit time reversal symmetry. Weak nuclear force however exhibits a small violation of this symmetry. Hence, from the perspectives of fundamental interactions, forward and backward motion of a physical system are indistinguis...
{ "timestamp": "2019-02-12T02:16:21", "yymm": "1902", "arxiv_id": "1902.03567", "language": "en", "url": "https://arxiv.org/abs/1902.03567" }
\section{Introduction} The acceleration of the cosmic expansion and observational data (Supernov\ae $\,$ Type Ia, Cosmic Microwave Background, Baryon Acoustic Oscillations) are fit best by the current concordance model --- the $\Lambda$CDM model which incorporates Dark Energy, modelled by the cosmological constant $...
{ "timestamp": "2019-02-12T02:17:51", "yymm": "1902", "arxiv_id": "1902.03617", "language": "en", "url": "https://arxiv.org/abs/1902.03617" }
\section{Introduction} A crucial step in understanding the formation history of a galaxy is knowing where and when its constituent stellar populations were formed. As a first approximation of this, photometric bulge-disc decompositions have long been used as a way of separating out the central and extended componen...
{ "timestamp": "2019-02-12T02:25:12", "yymm": "1902", "arxiv_id": "1902.03792", "language": "en", "url": "https://arxiv.org/abs/1902.03792" }
\section{INTRODUCTION} \label{INTRODUCTION} \vspace{-0.5em} This paper aims to develop a formal foundation, based on hybrid systems theory, nonlinear control, and quadratic programming (QP), to develop distributed feedback control algorithms that stabilize cooperative locomotion of quadrupedal robots while steering ob...
{ "timestamp": "2019-10-03T02:03:43", "yymm": "1902", "arxiv_id": "1902.03690", "language": "en", "url": "https://arxiv.org/abs/1902.03690" }
\section{Introduction}\label{sec:intro} V582 Aur is an FU Orionis (FUor) type young eruptive star. These systems show decade long optical--infrared outbursts caused by temporary increase in the mass accretion rate from the inner circumstellar disk onto the star \citep{hk96}. While in some cases the initial brightening...
{ "timestamp": "2019-02-12T02:20:57", "yymm": "1902", "arxiv_id": "1902.03673", "language": "en", "url": "https://arxiv.org/abs/1902.03673" }
\section{Introduction} \label{sec:intro} The electromagnetic calorimeter (ECal) is an important component of the Multi-purpose Detector (MPD) at Nuclotron-based Ion Collider fAcility (NICA) in Joint Institute for Nuclear Research (JINR), Dubna. The NICA collider is designed to provide collisions of heavy-ions over a wi...
{ "timestamp": "2019-10-15T02:12:22", "yymm": "1902", "arxiv_id": "1902.03629", "language": "en", "url": "https://arxiv.org/abs/1902.03629" }
\section{INTRODUCTION} \label{Sec:Introduction} Quantum mechanics defines the ultimate capacity limits of optical communication links.\cite{GiovannettiGarciaPatronNPH2014} In recent years, a good deal of effort has been put into devising schemes that would attain this limit in the photon-starved regime, when the propa...
{ "timestamp": "2019-02-12T02:20:09", "yymm": "1902", "arxiv_id": "1902.03654", "language": "en", "url": "https://arxiv.org/abs/1902.03654" }
\section{Introduction} A subset $S$ of $\mathbb{Z}$ is called {\it syndetic\/} if there exists $r\in\mathbb{N}$ such that $\bigcup_{i=1}^{r}(S-i) =\mathbb{Z}$. Again a subset $S$ of $\mathbb{Z}$ is called {\it thick\/} if it contains arbitrarily long intervals. Sets which can be expressed as the intersect...
{ "timestamp": "2019-09-27T02:07:56", "yymm": "1902", "arxiv_id": "1902.03557", "language": "en", "url": "https://arxiv.org/abs/1902.03557" }
\section{Introduction} \vspace{-4pt} In recent years, the computer vision community has made significant advances in increasingly difficult tasks. Deep learning techniques now demonstrate impressive performance in object detection as well as image and instance segmentation. Tracking, on the other hand, remains challeng...
{ "timestamp": "2019-04-09T02:30:43", "yymm": "1902", "arxiv_id": "1902.03604", "language": "en", "url": "https://arxiv.org/abs/1902.03604" }
\section{Introduction} Understanding the mechanism by which a molecular system functions is not only of great scientific interests but also has significant practical implications such as in drug design. For example, in the development of HIV-1 anti-viral drugs, modern drug design has become largely mechanistic-bas...
{ "timestamp": "2019-02-12T02:14:09", "yymm": "1902", "arxiv_id": "1902.03526", "language": "en", "url": "https://arxiv.org/abs/1902.03526" }
\section{Introduction} \label{sec:intro} The empirical correlations between the masses of central black holes and the properties of their host galaxies \citep[e.g.,][]{2000ApJ...539L..13G, 2000ApJ...539L...9F, 2013ARA&A..51..511K} have led to the widely accepted idea that the growth of central black holes must be c...
{ "timestamp": "2019-04-19T02:14:17", "yymm": "1902", "arxiv_id": "1902.03849", "language": "en", "url": "https://arxiv.org/abs/1902.03849" }
\section{Introduction} The determination of $\pi$ and $K$ electromagnetic form factors over a range of $Q^2$ values is a key set of experiments for the Jefferson Lab upgrade~\cite{jlab}. Since these form factors reflect the internal structure of the meson they test our understanding of the effects of the strong i...
{ "timestamp": "2019-02-12T02:25:38", "yymm": "1902", "arxiv_id": "1902.03808", "language": "en", "url": "https://arxiv.org/abs/1902.03808" }
\section{Introduction} We consider the \emph{set cover} problem (\textsc{SetCover}): given an $n$-vertex bipartite graph $I=(S,U,E)$, where $U$ is the underlying universe set and $S$ represents the set family, find a minimum sized subset $C$ of $S$ such that every vertex of $U$ is adjacent to some vertex of $C$. We ...
{ "timestamp": "2019-04-29T02:12:16", "yymm": "1902", "arxiv_id": "1902.03702", "language": "en", "url": "https://arxiv.org/abs/1902.03702" }
\section{Introduction} Live animation, as a new form of storytelling, opens the possibility of online communication through controlling a digital character. For example, through the usage of Adobe Character Animator \cite{AdobeCharacterAnimator}, users can manipulate the behaviors of a puppet in real-time during onli...
{ "timestamp": "2019-02-22T02:06:34", "yymm": "1902", "arxiv_id": "1902.03529", "language": "en", "url": "https://arxiv.org/abs/1902.03529" }
\section{Introduction} Numerical approach of many -- electron systems is extremely difficult computation. Density functional theory (DFT) is a computational quantum mechanical modeling method used to investigate many -- electron systems, in particular atoms, molecules, and the condensed phases \cite{ref1}. It provides...
{ "timestamp": "2019-02-12T02:16:42", "yymm": "1902", "arxiv_id": "1902.03581", "language": "en", "url": "https://arxiv.org/abs/1902.03581" }
\section*{Introduction} The global Cloud computing market exceeds \$100 billion and research in this area has rapidly matured over the last decade. During this time many buzz words have come and gone. Consequently, traditional concepts and conventional definitions related to the Cloud are almost obsolete~\cite{nextgen...
{ "timestamp": "2019-02-12T02:20:17", "yymm": "1902", "arxiv_id": "1902.03656", "language": "en", "url": "https://arxiv.org/abs/1902.03656" }
\section{Introduction} Let $\mathrm{H}^d_n$ be the space of degree $d$ homogeneous polynomials in $n$ variables with real coefficients. Inspired by Hodge's index theorem for projective varieties, we introduce a class of polynomials with remarkable properties. Let $\mathring{\mathrm{L}}^2_n \subseteq \mathrm{H}^2_n...
{ "timestamp": "2020-06-23T02:13:26", "yymm": "1902", "arxiv_id": "1902.03719", "language": "en", "url": "https://arxiv.org/abs/1902.03719" }
\section{Introduction} During the past decade, machine learning (ML), deep learning (DL) or generally termed artificial intelligence (AI) have gained wide popularity with applications across industries thanks to exponential improvement in computing hardware, availability of big datasets and improved algorithms. Recent ...
{ "timestamp": "2019-02-12T02:18:56", "yymm": "1902", "arxiv_id": "1902.03639", "language": "en", "url": "https://arxiv.org/abs/1902.03639" }
\section{INTRODUCTION} Massive stars ($\rm M \gtrsim 8 M_{\odot}$) play a vital role in the evolution of the universe given their radiative, mechanical and chemical feedback. They dictate the energy budget of the galaxies through powerful radiation, strong winds and supernovae events. Despite this, most aspects of the...
{ "timestamp": "2019-02-13T02:09:15", "yymm": "1902", "arxiv_id": "1902.03724", "language": "en", "url": "https://arxiv.org/abs/1902.03724" }
\section{Introduction} The complexity of learning, as studied in classical learning theory, is mostly concerned about the number of data instances required to solve a given learning task (a.k.a. sample complexity). However, as data becomes increasingly abundant and plentiful, the bottleneck in many tasks has shift...
{ "timestamp": "2019-06-13T02:04:26", "yymm": "1902", "arxiv_id": "1902.03498", "language": "en", "url": "https://arxiv.org/abs/1902.03498" }
\section{Introduction} We consider the problem of representation learning with a general noisy setting, and under the classical statistical setting where the sample size $n$ is larger than the ambient dimension $p$ of variables. The aim of representation learning is usually to estimate the latent variables (i.e., the ...
{ "timestamp": "2019-02-12T02:22:36", "yymm": "1902", "arxiv_id": "1902.03720", "language": "en", "url": "https://arxiv.org/abs/1902.03720" }
\section{Introduction} In the last few years organic electronics has assumed great importance because of its value in many applications~\cite{b1}. For thin protein and peptide films and coatings, it is possible to modulate their physical and functional properties as required in optical and electronic devices, biotechno...
{ "timestamp": "2019-02-12T02:23:40", "yymm": "1902", "arxiv_id": "1902.03749", "language": "en", "url": "https://arxiv.org/abs/1902.03749" }
\section{Introduction} Cybenko proved for every $f\in C([0,1]^n)$, we have that functions of the form $P(x)=\sum_{j=1}^N \alpha_j\sigma(y_j^{T}x+\theta_j)$ approximate $f$ arbitrarily well with $||P-f||_{\infty}<\epsilon$. (1). Such functions are known to be implementable on a feedforward neural network with one hidde...
{ "timestamp": "2019-02-12T02:18:56", "yymm": "1902", "arxiv_id": "1902.03638", "language": "en", "url": "https://arxiv.org/abs/1902.03638" }
\section{Introduction} Here and in \cite{cf-luli-generator}, we study systems of linear equations \begin{equation} \sum_{j=1}^{M}A_{ij}\left( x\right) F_{j}\left( x\right) =f_{i}\left( x\right) \text{ }\left( i=1,\cdots ,N\right) \text{,} \label{intro1} \end{equation}% for unknown functions $F_{1},\cdots ,F_{N}\in C...
{ "timestamp": "2019-02-14T02:03:58", "yymm": "1902", "arxiv_id": "1902.03691", "language": "en", "url": "https://arxiv.org/abs/1902.03691" }
\section{Introduction} In this paper, we report studies of the properties of density functional theory (DFT) energy minimizers within the context of the hydrogen molecule, (\ce{H_2}). The (DFT) minimizers discussed are related to those of the Kohn-Sham spin density functional method. The exchange correlation functi...
{ "timestamp": "2019-02-12T02:12:10", "yymm": "1902", "arxiv_id": "1902.03497", "language": "en", "url": "https://arxiv.org/abs/1902.03497" }
\section{Introduction} \label{sec:info} M-type stars are becoming dominant targets for research on the structural evolution and kinematics of the local Milky Way. M giants and M dwarfs have similar spectral features, both with strong molecular characteristics. M giants are red-giant-branch (RGB) stars with low surface ...
{ "timestamp": "2019-02-12T02:12:02", "yymm": "1902", "arxiv_id": "1902.03496", "language": "en", "url": "https://arxiv.org/abs/1902.03496" }
\section{Introduction} Modern quantitative stellar spectroscopy routinely measures spectral line properties, such as elemental abundances, to a precision of 0.01~dex. However, systematic errors often dominate derived spectral line properties resulting in actual errors that are typically an order of magnitude larger \ci...
{ "timestamp": "2019-05-10T02:19:03", "yymm": "1902", "arxiv_id": "1902.03821", "language": "en", "url": "https://arxiv.org/abs/1902.03821" }
\section{Introduction} ~~~~~ It's well-known that Jacobian Conjecture is first proposed by Keller \cite{kel}. \begin{con}{\bf (Jacobian Conjecture)} Let $ F(x) $ be $ k^n \to k^n $ a polynomial map, where $ k $ is a field of characteristic 0. If the determinant for its jacobian of the polynomial map is a non-zero...
{ "timestamp": "2019-02-12T02:17:45", "yymm": "1902", "arxiv_id": "1902.03615", "language": "en", "url": "https://arxiv.org/abs/1902.03615" }
\section{Introduction}\label{sec:Introduction} Elliptically contoured (EC), or elliptical for short, distributions have become important tools in the analysis of multivariate data. They retain from the multivariate normal (MVN) distribution the feature of elliptical symmetry about a location $\boldsymbol{\mu}$. They e...
{ "timestamp": "2019-02-12T02:18:15", "yymm": "1902", "arxiv_id": "1902.03622", "language": "en", "url": "https://arxiv.org/abs/1902.03622" }
\section{Introduction} Electrical transport in a metal wire network has been an area of keen interest for their fascinating percolation properties~\cite{balberg1984percolation, vzevzelj2012percolating, lebovka2018anisotropy} and extensive range of promising transparent conducting electrode applications.~\cite{ye2014me...
{ "timestamp": "2019-02-12T02:23:28", "yymm": "1902", "arxiv_id": "1902.03746", "language": "en", "url": "https://arxiv.org/abs/1902.03746" }
\section{Motivation and history of the problem} \label{intro} The task for a general and useful classification of probability distributions with respect to the their tails seems to be still open. Embrechts et al. (1997) \cite{EMK} have made a very useful figure about the relations between different subclasses of heavy...
{ "timestamp": "2019-07-23T02:12:49", "yymm": "1902", "arxiv_id": "1902.03810", "language": "en", "url": "https://arxiv.org/abs/1902.03810" }
\section{Introduction} With the explosion of interest in quantum thermodynamics \cite{SV2016,Xuereb,KosloffEntropy}, we may be entering an era whereby energy conversion devices are able to harness non-classical properties like coherence between internal states, entanglement, quantum degeneracy and so on. Thus, it is of...
{ "timestamp": "2019-02-12T02:22:44", "yymm": "1902", "arxiv_id": "1902.03727", "language": "en", "url": "https://arxiv.org/abs/1902.03727" }
\section{Integrated Spectrum of the extended emitters} \label{integrated_spectrum} We used elliptical apertures around the extended emitters to extract the integrated spectrum for each of the sources in our sample, directly from the MaNGA datacube. The integrated spectra are shown in Figure \ref{int_spec_1}-\ref{int_s...
{ "timestamp": "2019-02-12T02:23:49", "yymm": "1902", "arxiv_id": "1902.03754", "language": "en", "url": "https://arxiv.org/abs/1902.03754" }
\section{Introduction} \label{sec:Intro} Elementary quantum mechanics can be roughly summarized to comprise two ingredients as follows. \begin{enumerate} \item Unitary evolution ({\sc UE}): between any two points in time, an undisturbed quantum system evolves according to a unitary transformation. This process cre...
{ "timestamp": "2019-10-08T02:14:55", "yymm": "1902", "arxiv_id": "1902.03607", "language": "en", "url": "https://arxiv.org/abs/1902.03607" }
\section{Introduction} A virtual museum, or digital museum, collects, organizes, and displays digital artifacts online, which is mainly created for educational and entertainment purposes \cite{falk1998effect,vimmdefinition,Schweibenz1998TheM,carrozzino2018comparing}. Compared to a physical museum, a virtual museum ...
{ "timestamp": "2019-02-12T02:14:17", "yymm": "1902", "arxiv_id": "1902.03527", "language": "en", "url": "https://arxiv.org/abs/1902.03527" }
\section{Introduction}\label{S:intro} \cite{Nash} showed that all one-shot games have at least one equilibrium in the mixed strategies. Private randomness is required to implement mixed strategies, and consequently a Nash equilibrium may not exist if insufficient random bits are available to the players (See \cite{Hu...
{ "timestamp": "2019-02-12T02:21:10", "yymm": "1902", "arxiv_id": "1902.03676", "language": "en", "url": "https://arxiv.org/abs/1902.03676" }
\section{Introduction} Increasing demands for higher data rates and the availability of wide bandwidth at higher frequency spectrum makes mmWave communication attractive for next generation wireless systems. MmWave communication is seen as an enabling technology to multi-Gigabit WLANs, wireless display, cable free conn...
{ "timestamp": "2019-02-12T02:19:51", "yymm": "1902", "arxiv_id": "1902.03649", "language": "en", "url": "https://arxiv.org/abs/1902.03649" }
\section{Introduction} In $1929$, Ambarzumyan \cite{Ambarz} proved that if $\{(n\pi)^{2}: n\in \mathbb{N}\cup \{0\}\}$ is the spectrum of the boundary value problem \begin{equation} \label{1} -y^{\prime\prime}(x)+q(x)y(x)=\lambda y(x),\qquad y^{\prime}(0)=y^{\prime}(1)=0 \end{equation} with real potential $q\in L^{...
{ "timestamp": "2019-02-12T02:27:08", "yymm": "1902", "arxiv_id": "1902.03859", "language": "en", "url": "https://arxiv.org/abs/1902.03859" }
\section{Introduction} Recently, non-orthogonal multiple access (NOMA) has drawn significant attention in both industry and academia as a promising multiple access technique for the fifth-generation (5G) wireless newtworks\cite{Dai2015,Ding2015b,WeiSurvey2016,wong2017key}. The principal of NOMA is to exploit the powe...
{ "timestamp": "2019-02-12T02:14:39", "yymm": "1902", "arxiv_id": "1902.03535", "language": "en", "url": "https://arxiv.org/abs/1902.03535" }
\section{Introduction} \subsection{From credit derivative indices to Hawkes processes} Credit indices are financial instruments comprised of a set of credit securities, mainly used to hedge credit default risk. Each new index series is issued every 6 months and expires after a defined maturity. Though liquid, those ...
{ "timestamp": "2019-02-12T02:22:27", "yymm": "1902", "arxiv_id": "1902.03714", "language": "en", "url": "https://arxiv.org/abs/1902.03714" }
\section{ATMC combined with different adversarial training methods} While we used PGD attack mainly because it is state-of-the-art, ATMC is certainly compatible with different adversarial training methods. We hereby provide results when using WRM with the same hyper-parameter settings in Section~\ref{sec:moreattackers}...
{ "timestamp": "2020-01-01T02:07:09", "yymm": "1902", "arxiv_id": "1902.03538", "language": "en", "url": "https://arxiv.org/abs/1902.03538" }
\section{Introduction} In this paper, we always assume that $\Lambda$ is a finite dimensional basic algebra over an algebraically closed field $K$. $\tau$-tilting theory is introduced by Adachi, Iyama and Reiten \cite{AIR14}. They constructed a class of $\Lambda$-modules named support $\tau$-tilting modules (see Def...
{ "timestamp": "2019-11-05T02:31:11", "yymm": "1902", "arxiv_id": "1902.03737", "language": "en", "url": "https://arxiv.org/abs/1902.03737" }
\section{Introduction} Solid bodies forced to oscillate in a fluid may, as a result, undergo a net motion, provided their shape breaks an appropriate symmetry. Yet, in the absence of inertia (i.e. when the Reynolds number $\mbox{Re}$ is strictly zero), no net motion can arise from time-reciprocal actuation due to the ...
{ "timestamp": "2019-02-12T02:15:59", "yymm": "1902", "arxiv_id": "1902.03556", "language": "en", "url": "https://arxiv.org/abs/1902.03556" }
\section{Introduction and Motivation} \label{sec:intro} \begin{figure*}[t!] \centering \begin{tabular}{c c} \centering \includegraphics[width=0.48\linewidth,height=2.8cm]{wikimedia_collage_sp10.jpg} & \includegraphics[width=0.48\linewidth,height=2.8cm]{wikimedia_collage_b5.jpg} \\ \end{tabular...
{ "timestamp": "2019-06-07T02:10:56", "yymm": "1902", "arxiv_id": "1902.03830", "language": "en", "url": "https://arxiv.org/abs/1902.03830" }
\section{Methods} \begin{figure*} \centering \includegraphics[width=1\textwidth]{example.png} \caption{Left, a hyperkeratotic lesion at the floor of the mouth is shown. BM denotes the basement membrane, LP denotes the lamina propria, E denotes the epithelial layer and HK denotes hyperkeratosis. Right, an invasive...
{ "timestamp": "2019-02-12T02:17:52", "yymm": "1902", "arxiv_id": "1902.03618", "language": "en", "url": "https://arxiv.org/abs/1902.03618" }
\section{Introduction} \label{s:intro} \textit{This is a non-doubly blind version of the article accepted for publication in the XIV Workshop de Vis\~{a}o Computacional\footnote{\url{http://www.wvc2018.com.br/proceedings}}. This version differs from that published only because it has links to download all parts of the...
{ "timestamp": "2019-02-12T02:26:43", "yymm": "1902", "arxiv_id": "1902.03842", "language": "en", "url": "https://arxiv.org/abs/1902.03842" }
\section{Introduction} Concentration (large deviation) inequalities are one of the most important subjects of study in probability theory. A class of distributions for which sharp concentration inequalities have been developed is the class of subGaussian distributions. \begin{definition} A random variable $X \in R$ is...
{ "timestamp": "2019-02-12T02:23:10", "yymm": "1902", "arxiv_id": "1902.03736", "language": "en", "url": "https://arxiv.org/abs/1902.03736" }
\section{Introduction} After the big bang nucleosynthesis (BBN) \cite{alpher1948,pitrou2018}, only light elements are formed with about one quarter of $^{4}$He, three quarters of $^{1}$H, and some trace amounts of $^{2}$H, $^{3}$He, and $^{7}$Li due to the missing links of stable nuclei at mass $A =$ 5 and 8. As it tu...
{ "timestamp": "2020-10-20T02:38:51", "yymm": "1902", "arxiv_id": "1902.03685", "language": "en", "url": "https://arxiv.org/abs/1902.03685" }
\section{Introduction} \label{sec:intro} X-ray-emitting, close binary systems involving an accreting black hole (BH) or neutron star (NS), are among the first objects discovered in the X-ray sky and now recognized to be ubiquitous in the local Universe, thanks in particular to {\it Chandra} observations \citep{Weisskop...
{ "timestamp": "2019-02-12T02:22:58", "yymm": "1902", "arxiv_id": "1902.03733", "language": "en", "url": "https://arxiv.org/abs/1902.03733" }
\section{Projected Gradient Descent} \label{sec:algorithm} For an integer $t$ we use notation $[t]$ to denote the set $\{1, \dots, t\}$. The weighted $d$-dimensional balanced graph partitioning problem is defined by a collection of $d$ weight functions $\w 1, \dots, \w d$, where $\w j \colon V \to \mathbb R^+$. For ...
{ "timestamp": "2019-02-19T02:03:20", "yymm": "1902", "arxiv_id": "1902.03522", "language": "en", "url": "https://arxiv.org/abs/1902.03522" }
\section{Introduction}\label{sec:intro} This paper focuses on the implementation of the SSEM, previously described in \cite{AG18}, in the setting of Chebyshev polynomials. We begin with a brief overview which serves as a motivation and a description of the general SSEM. \subsection{The SSEM Method}\label{sec:SSEM} We...
{ "timestamp": "2019-02-12T02:22:26", "yymm": "1902", "arxiv_id": "1902.03713", "language": "en", "url": "https://arxiv.org/abs/1902.03713" }
\section{Introduction} \label{intro} Classical splines are piecewise polynomial functions defined on polyhedral complexes that agree up to a smoothness degree at the intersection of faces. They are used in many areas related with industry, computer based animations and geometric design. Classical spline theory is stud...
{ "timestamp": "2020-01-14T02:19:10", "yymm": "1902", "arxiv_id": "1902.03756", "language": "en", "url": "https://arxiv.org/abs/1902.03756" }
\section{Introduction} Pulsars \citep[first discovered by][]{hbp+68} are highly magnetised, rapidly rotating neutron stars, the remnants of massive stars that ended their life in a supernova. Generally it is thought that pulsars emit beams of radiation at their magnetic poles due to magnetospheric effects that are not...
{ "timestamp": "2019-02-18T02:15:13", "yymm": "1902", "arxiv_id": "1902.03814", "language": "en", "url": "https://arxiv.org/abs/1902.03814" }
\section{0pt}{5pt plus 4pt minus 2pt}{0pt plus 2pt minus 2pt} \begin{document} \title{ Low Barrier Magnet Design for \\ Efficient Hardware Binary Stochastic Neurons \author{Orchi Hassan$^1$, Rafatul Faria$^1$, Kerem Y. Camsari$^1$, Jonathan Z. Sun$^2$ and Supriyo Datta$^1$} \thanks{OH, RF, KYC, SD are with the Sch...
{ "timestamp": "2019-04-23T02:10:08", "yymm": "1902", "arxiv_id": "1902.03650", "language": "en", "url": "https://arxiv.org/abs/1902.03650" }
\section{Introduction} The unification problem in a normal modal logic is to determine, given a formula $\varphi$, whether there exists a substitution $\sigma$ such that $\sigma(\varphi)$ is in that logic. In that case, $\sigma$ is a unifier of $\varphi$. We shall say that a set of unifiers of a formula $\varphi$ is co...
{ "timestamp": "2019-02-12T02:24:24", "yymm": "1902", "arxiv_id": "1902.03770", "language": "en", "url": "https://arxiv.org/abs/1902.03770" }
\section{Introduction} \label{sec:intro} Time and again across different scientific and engineering fields, the formulation and creation of the right question, task, and dataset to study a problem has coalesced fields around particular challenges -- driving scientific progress. Likewise, progress on important proble...
{ "timestamp": "2019-02-12T02:16:23", "yymm": "1902", "arxiv_id": "1902.03570", "language": "en", "url": "https://arxiv.org/abs/1902.03570" }
\section{Table of Symbols}\label{sym_table} \vspace{-1em} \begin{table}[h!] \centering \small \begin{tabular}{| c | c |} \hline \textbf{Symbol} & \textbf{Description} \\ \hline $HDS$, $PDS$ & Hospitals \& Patients Data Sharing\\ \hline $\mathcal{G}$, $B$, $p$ & Elliptic curve; base point on $\mathcal{G}$...
{ "timestamp": "2020-02-28T02:16:00", "yymm": "1902", "arxiv_id": "1902.03785", "language": "en", "url": "https://arxiv.org/abs/1902.03785" }
\section{Background} We demonstrate our approach by training an autonomous agent on data obtained from a high-fidelity simulator with a reinforcement learning algorithm. We formulate the problem as a partially observable Markov decision process (POMDP). Below, we will cover the fundamentals of Q-learning. In reinforc...
{ "timestamp": "2019-02-12T02:24:13", "yymm": "1902", "arxiv_id": "1902.03765", "language": "en", "url": "https://arxiv.org/abs/1902.03765" }
\section{``It can only be attributable to human error''} In a not too distant future, a quantum computer engineer will be confronted with the problem of automating the compilation of what a user wishes to execute (quantum algorithm) to instructions which a quantum computer is able to execute. A quantum algorithm is...
{ "timestamp": "2019-02-12T02:22:07", "yymm": "1902", "arxiv_id": "1902.03698", "language": "en", "url": "https://arxiv.org/abs/1902.03698" }
\section{Introduction} Voice conversion (VC) aims to modify the source speaker's voice to sound like that of the target speaker without changing the content information. The challenge is to transform the speaker identity while maintaining the speech quality. Various techniques have been proposed to convert spectral ...
{ "timestamp": "2019-09-18T02:12:00", "yymm": "1902", "arxiv_id": "1902.03705", "language": "en", "url": "https://arxiv.org/abs/1902.03705" }
\section{Introduction} \label{sec:intro} Expression Recognition is a widely studied topic in the domain of Pattern Recognition and Biometrics in the past few decades. In addition to verbal communication there exists some nonverbal communication such as facial expression which reveals true emotional state of a human be...
{ "timestamp": "2019-04-22T02:07:21", "yymm": "1902", "arxiv_id": "1902.03514", "language": "en", "url": "https://arxiv.org/abs/1902.03514" }
\section{\label{sec:intro}Introduction} Non-equilibrium statistical physics is a rapidly developing field. In contrast to its equilibrium counterpart built upon the probability distribution of states, no such general framework is available for non-equilibrium systems as the required distributions have not been establis...
{ "timestamp": "2019-02-12T02:19:26", "yymm": "1902", "arxiv_id": "1902.03645", "language": "en", "url": "https://arxiv.org/abs/1902.03645" }
\section{Introduction} We consider the Vlasov-Navier-Stokes system in $\mathbb{T}^3 \times \mathbb{R}^3$: \begin{align} \label{eq:vlasov}\partial_t f + v \cdot \nabla_x f + \div_v [f(u-v)] &=0,\\ \label{eq:ns}\partial_t u + (u\cdot \nabla)u - \Delta u + \nabla p &= j_f-\rho_f u, \\ \label{eq:ns2}\div \, u & = 0, \end...
{ "timestamp": "2019-12-18T02:17:17", "yymm": "1902", "arxiv_id": "1902.03864", "language": "en", "url": "https://arxiv.org/abs/1902.03864" }
\section{Introduction} \label{SEC_intro} 50 years and more of study of Globular Clusters (GCs) have not yet reached a full understanding of the variegate description of the morphology of the horizontal branch (HB). It has been easily settled that the `first parameter' governing the HB is the metallicity (iron content...
{ "timestamp": "2019-02-12T02:25:35", "yymm": "1902", "arxiv_id": "1902.03803", "language": "en", "url": "https://arxiv.org/abs/1902.03803" }
\section{Introduction} \label{s1} Ruelle \cite{Ru82}, answering a conjecture of Sullivan, has shown that the Hausdorff dimension of the Julia set of hyperbolic rational functions depends analytically on the map. An alternative approach to this result is contained in the monograph \cite{Zins2000} and, following Bisho...
{ "timestamp": "2021-01-06T02:10:55", "yymm": "1902", "arxiv_id": "1902.03753", "language": "en", "url": "https://arxiv.org/abs/1902.03753" }
\section{Introduction} We consider the adiabatic hydrodynamic evolution of a self-gravitating gaseous star governed by the Euler-Poisson equations \begin{subequations} \begin{align} &\frac{\partial\rho}{\partial t}+\sum_{k=1}^3\frac{\partial}{\partial x^k}(\rho v^k)=0, \label{EPa} \\ &\rho\Big(\frac{\partial v^...
{ "timestamp": "2021-01-27T02:07:39", "yymm": "1902", "arxiv_id": "1902.03675", "language": "en", "url": "https://arxiv.org/abs/1902.03675" }
\section{Introduction} {\it Introduction.---} Maxwell electromagnetism, elasticity, and acoustics describe various classical waves via different types of wave equations \cite{Jackson,Auld,LLFluid}. Analogies between these waves are very fruitful and repeatedly resulted in the mutual export of ideas between optics and ...
{ "timestamp": "2019-07-12T02:21:19", "yymm": "1902", "arxiv_id": "1902.03614", "language": "en", "url": "https://arxiv.org/abs/1902.03614" }
\section{Introduction} In quantum field theory (QFT), the proper description of physical vacuum is an interesting and long-standing question. Probably the most straightforward answer to this question is, ``the vacuum is a no particle state'' \cite{Birrell}. However, since 1970, consistent development of the studies rel...
{ "timestamp": "2019-09-24T02:05:27", "yymm": "1902", "arxiv_id": "1902.03735", "language": "en", "url": "https://arxiv.org/abs/1902.03735" }
\section{INTRODUCTION} \label{sec:intro} There has been a tremendous observational effort to carry out large wide field surveys to better understand our universe in the last years. For cosmological studies, one needs to locate the exact position of the galaxy tracers to unveil the large scale structure of the univer...
{ "timestamp": "2019-03-29T01:21:55", "yymm": "1902", "arxiv_id": "1902.03623", "language": "en", "url": "https://arxiv.org/abs/1902.03623" }
\section{\label{sec:ana}Analysis} \subsection{Why does SDE~work better?} The SDE~framework outperforms the strong sub-sep baseline because it avoids sub-optimal segmentation of the multilingual data. We further inspect the improvements by calculating the word F-measure of the translated target words based on two pro...
{ "timestamp": "2019-02-12T02:12:18", "yymm": "1902", "arxiv_id": "1902.03499", "language": "en", "url": "https://arxiv.org/abs/1902.03499" }
\section{Introduction} \IEEEPARstart{A}{ renewed} interest in the design of iterative coding schemes has been recently triggered by the need of efficient error correction mechanisms for very high throughput applications. Turbo and low-density parity-check (LDPC) codes have been shown to be capable of approaching the ...
{ "timestamp": "2019-09-20T02:13:31", "yymm": "1902", "arxiv_id": "1902.03575", "language": "en", "url": "https://arxiv.org/abs/1902.03575" }
\section{Introduction} Recent results in computational chemistry have raised intriguing questions about the scalability of classical one-level domain decomposition methods. In \cite{Stamm3} the authors combined the COSMO solvation model (see, for instance \cite{Barone,Klamt,Truong}) with the classical one-le...
{ "timestamp": "2019-10-21T02:15:27", "yymm": "1902", "arxiv_id": "1902.03670", "language": "en", "url": "https://arxiv.org/abs/1902.03670" }
\section{Introduction} Mathematical analysis of physiological signals, human movement variability among them, for decades attracted considerable attention of the scientific community, resulting in a large body of available methods (see, references \cite{Akay2000,Stergiou2016book}, which are still not exhaustive). This ...
{ "timestamp": "2019-02-12T02:14:36", "yymm": "1902", "arxiv_id": "1902.03530", "language": "en", "url": "https://arxiv.org/abs/1902.03530" }
\section{Introduction} Electrical double-layer capacitors, or supercapacitors, are an important player on the market of energy storage devices. Supercapacitors store energy by electrosorption of counter-charge into the porous electrodes and provide high power densities and cyclability, but the stored energies are rela...
{ "timestamp": "2019-02-12T02:17:16", "yymm": "1902", "arxiv_id": "1902.03597", "language": "en", "url": "https://arxiv.org/abs/1902.03597" }
\section{Introduction} \label{sec:typesetting-summary} Large-scale labeled graphs are becoming ubiquitous in several areas, such as computational biology, graph databases, and graph mining. Applications require sophisticated operations on these graphs, and often rely on primitives that locate paths whose nodes have la...
{ "timestamp": "2019-02-12T02:16:09", "yymm": "1902", "arxiv_id": "1902.03560", "language": "en", "url": "https://arxiv.org/abs/1902.03560" }
\section{Introduction} In recent years, the field of \textit{spinorbitronics} has emerged as a new route for spin-currents able to generate spin torques and excite small magnetic elements~\cite{liu2011a,liu2012a,liu2012b,pai2012,ohno2017}, to move domain walls~\cite{miron2011,boulle2013,emori2013,parkinano2015,rojas20...
{ "timestamp": "2020-10-06T02:31:50", "yymm": "1902", "arxiv_id": "1902.03564", "language": "en", "url": "https://arxiv.org/abs/1902.03564" }
\section{Introduction} The group $nV$ was introduced by Brin \cite{Brin1} as an $n$-dimensional generalization of Richard Thompson's group $V$, for any positive integer $n$ (with $\,1V = V$). Brin proved that $2V$ is finitely generated and simple, that $V$ is not isomorphic to $2V$ \cite{Brin1}, that $2V$ is fin...
{ "timestamp": "2020-02-12T02:14:13", "yymm": "1902", "arxiv_id": "1902.03852", "language": "en", "url": "https://arxiv.org/abs/1902.03852" }
\section{introduction} Let $k$ is an algebraically closed field of characteristic $0$. This paper deals with DG polynomial $k$-algebras, which are connected cochain DG algebras whose underlying graded algebras are polynomial algebras generated by degree one elements. In \cite{MGYC}, the differential structures and hom...
{ "timestamp": "2019-04-25T02:17:00", "yymm": "1902", "arxiv_id": "1902.03762", "language": "en", "url": "https://arxiv.org/abs/1902.03762" }
\section{Introduction} The introduction of the term {\itshape idiolect} in sociolingustics appears in the 19th century by Neogramarian Herman Paul \cite{paul1890principles}. The theoretical concept and the existence of idiolect is the foundation of Authorship Attribution \cite{coulthard2004author}. Here, we introduce ...
{ "timestamp": "2019-02-12T02:20:18", "yymm": "1902", "arxiv_id": "1902.03658", "language": "en", "url": "https://arxiv.org/abs/1902.03658" }
\section{Introduction} The assumption of strict stationarity is pivotal in nonlinear time series inference and forecasting. Testing stationarity in the context of linear time series models has been well documented, such as various unit root tests. However, this testing problem may pose considerably more challenges in ...
{ "timestamp": "2019-02-12T02:24:25", "yymm": "1902", "arxiv_id": "1902.03773", "language": "en", "url": "https://arxiv.org/abs/1902.03773" }
\section{Introduction} The $N$-body problem is the problem of solving for the motion in time of $N$-point particles, interacting through pairwise gravitational forces. This problem describes, at 0th order, a wide range of astrophysical dynamics, from the motion of stars in galaxies, to planets orbiting stars \citep{HH...
{ "timestamp": "2019-03-27T01:11:58", "yymm": "1902", "arxiv_id": "1902.03684", "language": "en", "url": "https://arxiv.org/abs/1902.03684" }
\section{Introduction} A singular quadratic matrix which is not the zero matrix has minimum polynomial $x^2-cx$ (where $c$ is some scalar over a field), and is therefore either square-zero, or a scalar multiple of an idempotent matrix. In this article I aim to summarise previous results on products of such matrices in ...
{ "timestamp": "2019-02-12T02:16:52", "yymm": "1902", "arxiv_id": "1902.03584", "language": "en", "url": "https://arxiv.org/abs/1902.03584" }
\section*{Introduction} \noindent In humans, the development of neuronal systems in late gestation determines organisation of specialised neural functions that underpin large-scale functional organisation of the brain \cite{TauGregory2009, GRAYSON201715}. As a measure of large-scale functional organisation of resting-...
{ "timestamp": "2020-09-08T02:06:47", "yymm": "1902", "arxiv_id": "1902.03725", "language": "en", "url": "https://arxiv.org/abs/1902.03725" }
\section{Introduction} \IEEEPARstart{R}{esearch} and development work on autonomous vehicles (AVs) has accelerated in recent years, driven by technological advances in both hardware and software. However, a number of significant challenges must be addressed before widespread adoption of AVs will be possible. These in...
{ "timestamp": "2019-02-12T02:17:18", "yymm": "1902", "arxiv_id": "1902.03601", "language": "en", "url": "https://arxiv.org/abs/1902.03601" }
\section{Introduction} Throughout the paper $(X, \mathsf{d})$ will be a complete metric space and $\mathfrak m$ will be a non-negative Borel measure on $X$, finite on bounded subsets. The triple $(X, \mathsf{d}, \mathfrak m)$ is called \emph{metric measure space}, m.m.s. for short. We denote by $\mathsf{Lip}(X)$ the s...
{ "timestamp": "2020-02-11T02:25:41", "yymm": "1902", "arxiv_id": "1902.03835", "language": "en", "url": "https://arxiv.org/abs/1902.03835" }
\section{High-level Description of Our Algorithm}\label{sec:high-level} Our algorithm for $(r,b)$-fair $k$-median problem in Euclidean space follows the high-level approach of \cite{chierichetti2017fair}: it first computes an approximately optimal $(r,b)$-fairlet decomposition for the input point set $P$ (see Algorithm...
{ "timestamp": "2019-06-12T02:01:22", "yymm": "1902", "arxiv_id": "1902.03519", "language": "en", "url": "https://arxiv.org/abs/1902.03519" }