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\section{Introduction} Unsupervised representation learning is the area of research that aims to extract units from unlabelled speech that are consistent with the phonemic transcription \cite{clsp,zs15,zs17}. As opposed to text, speech is subject to large variability. Two speech sequences with the same transcription ...
{ "timestamp": "2020-11-09T02:13:46", "yymm": "2007", "arxiv_id": "2007.13542", "language": "en", "url": "https://arxiv.org/abs/2007.13542" }
\section{Introduction} We have previously written about the scale-invariance paradox and shown how it may be resolved by the introduction of filtered-partitioned forms of the transfer spectra \cite{McComb08}, \cite{McComb14a}. In the present paper we carry on this work to show how the underlying symmetries of the tria...
{ "timestamp": "2020-07-28T02:41:53", "yymm": "2007", "arxiv_id": "2007.13622", "language": "en", "url": "https://arxiv.org/abs/2007.13622" }
\section{Introduction} \label{sec:intro} \input{src/sections/introduction} \section{State-of-the-Art on \ac{ML}-based for RF Signal Classification} \label{sec:related} \input{src/sections/related} \section{\ac{RAT} Characterisation} \label{sec:classifier} \input{src/sections/classifier.tex} \section{Dataset Generati...
{ "timestamp": "2020-07-28T02:39:59", "yymm": "2007", "arxiv_id": "2007.13561", "language": "en", "url": "https://arxiv.org/abs/2007.13561" }
\section{Introduction} Data Compression and the associated techniques coming from Information Theory, has a long and very influential history for the storage and mining of biological data \cite{giancarloCompression09}. In recent years, it has received increasing attention via the proposal of novel specialized compres...
{ "timestamp": "2020-07-28T02:44:01", "yymm": "2007", "arxiv_id": "2007.13673", "language": "en", "url": "https://arxiv.org/abs/2007.13673" }
\section{Introduction} In recent years, coarse-graining renormalization group methods for the tensor network have become the essential numerical tools to study classical and quantum lattice models. One advantage is the ability to study systems in the thermodynamic limit. However, it can be tricky to extract the criti...
{ "timestamp": "2020-07-28T02:41:22", "yymm": "2007", "arxiv_id": "2007.13607", "language": "en", "url": "https://arxiv.org/abs/2007.13607" }
\subsection{Data sets} As mentioned, we considered data sets from the UCI and LibSVM repositories \citep{UCI,libsvm}, as well as \dataset{Fashion-MNIST} from Zalando Research\footnote{\url{https://research.zalando.com/welcome/mission/research-projects/fashion-mnist/}}. We used data sets with size $3000 \leq N \leq 7000...
{ "timestamp": "2020-12-18T02:19:57", "yymm": "2007", "arxiv_id": "2007.13532", "language": "en", "url": "https://arxiv.org/abs/2007.13532" }
\section{Introduction} Analysis of an outcome response to a counterfactual shift in the covariate distribution is of interest in policy studies. Such a counterfactual analysis requires accounting for the Oaxaca-Blinder decomposition of heterogeneous outcome distributions into structural heterogeneity ($F_{Y|X}$) and di...
{ "timestamp": "2022-02-25T02:21:03", "yymm": "2007", "arxiv_id": "2007.13659", "language": "en", "url": "https://arxiv.org/abs/2007.13659" }
\section{Introduction} Consider the problem of explaining sequential decision-making on the basis of demonstrated behavior. In healthcare, an important goal lies in being able to obtain an interpretable parameterization of the experts' behavior (e.g in terms of how they assign treatments) such that we can quantify and...
{ "timestamp": "2021-03-31T02:37:21", "yymm": "2007", "arxiv_id": "2007.13531", "language": "en", "url": "https://arxiv.org/abs/2007.13531" }
\section{Introduction} The condensation of water vapor onto solid surfaces is integral to many natural processes including dew formation\cite{Beysens1995} and fog harvesting by animals, like the Namib Desert Beetle\cite{Parker2001,Park2016} and Litoria caerulea-, a green tree frog in Australia,\cite{Tracy2011} and plan...
{ "timestamp": "2020-07-28T02:40:44", "yymm": "2007", "arxiv_id": "2007.13586", "language": "en", "url": "https://arxiv.org/abs/2007.13586" }
\section{Introduction} The so-called neutral component of the interstellar medium, despite being shielded from EUV (13.6 to 124 eV) stellar photons able to ionize hydrogen, retains a small ionization fraction ($x(\mathrm{e}^-)=n(\mathrm{e}^-)/n_\mathrm{H}$). The ionization mechanism depends on the type of region: FUV...
{ "timestamp": "2020-07-28T02:40:58", "yymm": "2007", "arxiv_id": "2007.13593", "language": "en", "url": "https://arxiv.org/abs/2007.13593" }
\section{Introduction} Important properties of real crystals such as plasticity, melting, growth, etc., are mainly defined by defects of the crystalline structure which are called dislocations. Moreover, many bodies posses a spin structure. For example, ferromagnets are also characterized by the distribution of mag...
{ "timestamp": "2020-07-28T02:37:42", "yymm": "2007", "arxiv_id": "2007.13490", "language": "en", "url": "https://arxiv.org/abs/2007.13490" }
\chapter{Abbreviations} \fancyhf{} \renewcommand{\headrulewidth}{2pt} \fancyhead[LE,RO]{\thepage} \fancyhead[RE]{\textit{ \nouppercase{Abbreviations}} } \fancyhead[RE]{\textit{ \nouppercase{Abbreviations}} } \fancyhead[LO]{\textit{ \nouppercase{\rightmark}} } \renewcommand{\footrulewidth}{0.1pt} \fancyfoot[CE,CO]{\noup...
{ "timestamp": "2020-07-28T02:44:06", "yymm": "2007", "arxiv_id": "2007.13676", "language": "en", "url": "https://arxiv.org/abs/2007.13676" }
\section{#1} \setcounter{equation}{0}} \def\textup{div}{\textup{div}} \def\mathcal{D}{\mathcal{D}} \def\mathcal{C}{\mathcal{C}} \def\mathbb{R}{\mathbb{R}} \def\mathbb{I}{\mathbb{I}} \def\mathcal{L}{\mathcal{L}} \def\mathcal{M}{\mathcal{M}} \def\mathcal{N}{\mathcal{N}} \def\mathcal{F}{\mathcal{F}} \def\mathcal{K}{\m...
{ "timestamp": "2020-10-02T02:20:45", "yymm": "2007", "arxiv_id": "2007.13692", "language": "en", "url": "https://arxiv.org/abs/2007.13692" }
\section{Introduction}\label{sec:i} Challenging problems is what drives AI research. What pushes the field and its applications forward. A prime example of that is the ImageNet dataset, together with the corresponding ILSVRC challenge \citep{russakovsky2015imagenet}. The popularization of this competition revitaliz...
{ "timestamp": "2021-05-21T02:15:53", "yymm": "2007", "arxiv_id": "2007.13693", "language": "en", "url": "https://arxiv.org/abs/2007.13693" }
\section{1. Introduction} Since the origin of quantum field theory there have been proposals to add a new scale of length to the theory in order to solve the problems connected to ultraviolet divergences. Later, the necessity of introducing a fundamental length scale has also arisen in several attempts to build a theor...
{ "timestamp": "2020-12-01T02:14:17", "yymm": "2007", "arxiv_id": "2007.13498", "language": "en", "url": "https://arxiv.org/abs/2007.13498" }
\section{Introduction} The next generation Internet of Things (IoT) is envisioned to support various important applications, including smart home, intelligent transportation, wireless health-care, environment monitoring, etc \cite{ngiot}. The key step to implement the IoT is to ensure that a massive number of...
{ "timestamp": "2020-07-28T02:43:30", "yymm": "2007", "arxiv_id": "2007.13665", "language": "en", "url": "https://arxiv.org/abs/2007.13665" }
\section{Introduction} In recent years, neural networks have increased dramatically in size: \cite{amodei2018ai} estimate a 300,000x growth in compute since 2012, with a doubling period of 3.4 months. Since the ``bitter lesson'' \citep{sutton2019bitter} of machine learning seems for now to be true, and performance on ...
{ "timestamp": "2020-07-28T02:38:16", "yymm": "2007", "arxiv_id": "2007.13512", "language": "en", "url": "https://arxiv.org/abs/2007.13512" }
\section{Introduction} Special functions, with its diverse sub-branches, are very wide field of study and are used not only in various fields of mathematics but also in the solutions of important problems in many disciplines of science such as physics, chemistry and biology. This subject is powerful to make sense of u...
{ "timestamp": "2020-07-28T02:43:00", "yymm": "2007", "arxiv_id": "2007.13643", "language": "en", "url": "https://arxiv.org/abs/2007.13643" }
\section{Introduction} \label{sec:intro} The Bethe-Salpeter equation (BSE) formalism \cite{Salpeter_1951,Strinati_1988} is to the $GW$ approximation \cite{Hedin_1965,Golze_2019} of many-body perturbation theory (MBPT) \cite{Onida_2002,Martin_2016} what time-dependent density-functional theory (TD-DFT) \cite{Runge_1984,...
{ "timestamp": "2020-09-04T02:11:15", "yymm": "2007", "arxiv_id": "2007.13501", "language": "en", "url": "https://arxiv.org/abs/2007.13501" }
\section{Introduction} \label{sec:intro} Particle physics focuses on understanding fundamental laws of nature by observing elementary particles, either in controlled environments (collider physics) or in nature (astro-particle). The standard model of particle physics is a theory of the strong, weak and electromagnetic ...
{ "timestamp": "2020-10-22T02:15:20", "yymm": "2007", "arxiv_id": "2007.13681", "language": "en", "url": "https://arxiv.org/abs/2007.13681" }
\section{Introduction} \label{Introduction} The simultaneous determination of multiple physical quantities can be very advantageous in many sensor applications, for example, when an in-situ or a remote acquisition is required. If the physical effect on which the measurement method is based presents cross-interference...
{ "timestamp": "2020-07-28T02:43:28", "yymm": "2007", "arxiv_id": "2007.13663", "language": "en", "url": "https://arxiv.org/abs/2007.13663" }
\section{Introduction} The seminal developments of Shor's and Grover's algorithm, that showed a provable exponential and polynomial speedup with respect to their classical counterparts respectively, sparked the decades-long run to build a quantum computer. First quantum computing devices with tens of noisy qubits, so c...
{ "timestamp": "2020-07-28T02:39:59", "yymm": "2007", "arxiv_id": "2007.13563", "language": "en", "url": "https://arxiv.org/abs/2007.13563" }
\section{Introduction} Dirac semimetals(DSMs) are currently drawing intense interest in condensed matter and materials physics~\cite{wang2012dirac,liu2014discovery,liu2014stable,liang2015ultrahigh,borisenko2014experimental,chang2017type,huang2017black,milicevic2018tilted,young2012dirac,gibson2015three,young2015dirac...
{ "timestamp": "2021-12-21T02:12:56", "yymm": "2007", "arxiv_id": "2007.13548", "language": "en", "url": "https://arxiv.org/abs/2007.13548" }
\section{\bf 1. Introduction} In earlier works, [\putref{dowgjmsren}], I discussed the construction of the (one loop) effective actions for higher derivative scalars and spinors using the spherical product forms of the GJMS--type propagation operators (kinetic operators) for all even sphere dimensions. Working in eve...
{ "timestamp": "2020-08-12T02:14:24", "yymm": "2007", "arxiv_id": "2007.13670", "language": "en", "url": "https://arxiv.org/abs/2007.13670" }
\section{Introduction}\label{sec:introduction} The nucleon-nucleon ($NN$) interaction is one of the most important inputs in nuclear physics and nuclear astrophysics. Since the seminal work of Yukawa~\cite{ Yukawa:1935xg}, a variety of formulations of $NN$ {interaction} have been proposed and thoroughly studied. Nowada...
{ "timestamp": "2020-11-13T02:19:34", "yymm": "2007", "arxiv_id": "2007.13675", "language": "en", "url": "https://arxiv.org/abs/2007.13675" }
\section{Introduction} As the demand for processing of big data accelerates, new architectures and computing paradigms are receiving heightened attention. Many of the most challenging computational problems fall into the category of NP-Hard and NP-Complete, where no exact polynomial time solution exists. For this reas...
{ "timestamp": "2020-10-15T02:28:02", "yymm": "2007", "arxiv_id": "2007.13489", "language": "en", "url": "https://arxiv.org/abs/2007.13489" }
\section{Introduction} \begin{figure}[ht] \centering \includegraphics[width=0.98\linewidth]{figs/sec_1.pdf} \setlength{\abovecaptionskip}{3pt} \caption{We propose debiasing method that uses adversarial attacks to balance the data distribution.} \label{fig1} \end{figure} The last few years have witnessed hu...
{ "timestamp": "2020-08-14T02:10:18", "yymm": "2007", "arxiv_id": "2007.13632", "language": "en", "url": "https://arxiv.org/abs/2007.13632" }
\section{\label{intro} Introductory Comment} The energy exchange between an impinging light beam and virus particles is a cornerstone in several biophotonic operations with important applications in Microbiology, Pharmacology, Medical Physics and Biochemistry. The study of this interaction between virions and electrom...
{ "timestamp": "2020-07-28T02:41:07", "yymm": "2007", "arxiv_id": "2007.13598", "language": "en", "url": "https://arxiv.org/abs/2007.13598" }
\section{Introduction}\label{sec:introduction} ``Quasimodular forms'' as a notion were introduced by M.~Kaneko and D.~Zagier in \cite{Kaneko_Zagier1995:generalized_jacobi_theta}. They have found applications in various areas of mathematics and are of interest on their own. For excellent introductions to the subject we ...
{ "timestamp": "2020-11-16T02:15:29", "yymm": "2007", "arxiv_id": "2007.13569", "language": "en", "url": "https://arxiv.org/abs/2007.13569" }
\section{Introduction} In condensed matter physics, fluctuations, whether thermal or quantum, usually suppress order. However, this is not a rigorous rule. Some systems undergo an ``Order-by-Disorder'' (ObD) transition in which the fluctuations restore order in an otherwise disordered ground state~\cite{villain198...
{ "timestamp": "2020-07-28T02:39:44", "yymm": "2007", "arxiv_id": "2007.13556", "language": "en", "url": "https://arxiv.org/abs/2007.13556" }
\section{Introduction} \label{S1} The Gelfand-Shilov spaces of type $S$ provide a natural framework for studying infinite order pseudodifferential operators whose symbols have faster than polynomial growth at infinity. Various classes of pseudodifferential operators of this kind were investigated in recent p...
{ "timestamp": "2020-08-18T02:34:58", "yymm": "2007", "arxiv_id": "2007.13627", "language": "en", "url": "https://arxiv.org/abs/2007.13627" }
\section{Acknowledgements} We would like to thank H. Yoon and M. Han for fruitful discuss of ML process. This work was supported by the Ministry of Science through NRF-2018R1D1A1B07048139 (Hunpyo Lee), and Ministry of Education, Science and Technology NRF-2020R1I1A1A01071535 and POSTECH (Taegeun Song). RV acknowlegde...
{ "timestamp": "2020-07-28T02:41:28", "yymm": "2007", "arxiv_id": "2007.13610", "language": "en", "url": "https://arxiv.org/abs/2007.13610" }
\section{Introduction} \label{sec:introduction} \IEEEPARstart{I}{mage} registration is the task of finding the correspondences across two or more images. This is often used to tackle problems in the field of medical imaging, remote sensing, etc. For instance, when we want to analyze how the anatomy of a patient's body ...
{ "timestamp": "2020-07-28T02:44:13", "yymm": "2007", "arxiv_id": "2007.13683", "language": "en", "url": "https://arxiv.org/abs/2007.13683" }
\section{Introduction} The present work proposes an extension of the Mixed Virtual Element meth\-od for meshes with elements having curved edges, for bi-dimensional elliptic problems in mixed form. The method allows to handle domains with curved boundaries, or domains with embedded curved interfaces, or even with mes...
{ "timestamp": "2020-07-28T02:38:22", "yymm": "2007", "arxiv_id": "2007.13513", "language": "en", "url": "https://arxiv.org/abs/2007.13513" }
\section*{Results} \subsubsection*{Diffraction data collection} Data was collected at the SPB/SFX (single particles, biomolecules and clusters/serial femtosecond crystallography) instrument~\cite{Mancuso:2019} of the European XFEL using \SI{6}{\kilo\electronvolt} photons focused into a $3\times$\SI{3}{\micro\meter\squa...
{ "timestamp": "2020-07-28T02:41:07", "yymm": "2007", "arxiv_id": "2007.13597", "language": "en", "url": "https://arxiv.org/abs/2007.13597" }
\section{Introduction} Infectious disease pandemics have had a major impact on the evolution of mankind and have played a critical role in the course of history. Over the ages, pandemics made countless victims, decimating entire nations and civilizations. As medicine and technology have made remarkable progress in th...
{ "timestamp": "2020-08-07T02:03:11", "yymm": "2007", "arxiv_id": "2007.13494", "language": "en", "url": "https://arxiv.org/abs/2007.13494" }
\section{Introduction} The search for boson and fermion-boson stars is a subject of current interest in modern Astrophysics \cite{jetzer,liddle1,liddle2,liddle3,urena}. The interest in the theme is intensified the circumstances related with the search for purely boson stars. As it is known, the Einstein-Klein-Gor...
{ "timestamp": "2020-07-28T02:43:51", "yymm": "2007", "arxiv_id": "2007.13671", "language": "en", "url": "https://arxiv.org/abs/2007.13671" }
\section{Introduction} The symmetrized poly-Bernoulli numbers were introduced by Kaneko-Sakurai-Tsumura \cite{KST} in order to generalize the dual formula of poly-Bernoulli numbers. The poly-Bernoulli polynomials $B_n^{(k)}(x)$ of index $k\in \Z$ are defined by the generating function \begin{align*} \sum_{n=0}^{\i...
{ "timestamp": "2020-07-28T02:42:26", "yymm": "2007", "arxiv_id": "2007.13636", "language": "en", "url": "https://arxiv.org/abs/2007.13636" }
\section{Background} We consider the standard Markov Decision Process (MDP) setting~\cite{puterman1994markov}, in which the environment is specified by a tuple $\mathcal{M} = \langle \mathcal{S}, \mathcal{A}, \mathcal{R}, \mathcal{T}, \mu_0, \gamma \rangle$, consisting of a state space $\mathcal{S}$, an action space ...
{ "timestamp": "2020-07-28T02:41:26", "yymm": "2007", "arxiv_id": "2007.13609", "language": "en", "url": "https://arxiv.org/abs/2007.13609" }
\section{Introduction} Thanks to the advancement of distributed computing techniques, numerous large-scale systems have been developed to provide diverse services benefiting people in daily life. The architecture of these distributed systems is complex that consists of a set of heterogeneous subsystems. Particularly, ...
{ "timestamp": "2020-07-28T02:44:17", "yymm": "2007", "arxiv_id": "2007.13685", "language": "en", "url": "https://arxiv.org/abs/2007.13685" }
\section{Introduction} We are concerned with numerical schemes for evolution equations that arise as gradient flow (steepest descent) for an energy $f:H \rightarrow \mathbb{R}$, where $H$ is a Hilbert space with inner product $\langle\cdot,\cdot\rangle$: \begin{equation} \label{eq:de} u'=-\nabla_H E(u). \end{eq...
{ "timestamp": "2020-07-28T02:40:16", "yymm": "2007", "arxiv_id": "2007.13572", "language": "en", "url": "https://arxiv.org/abs/2007.13572" }
\section{Introduction} Phylogenetics is the study of the evolutionary history of biological species. Traditionally such a history is represented by a phylogenetic tree. However, hybridization and horizontal gene transfer, both so-called \emph{reticulation} events, can lead to multiple seemingly conflicting trees repres...
{ "timestamp": "2020-07-28T02:41:36", "yymm": "2007", "arxiv_id": "2007.13615", "language": "en", "url": "https://arxiv.org/abs/2007.13615" }
\section{Introduction} Let $(K,v)$ be a valued field, $\bar{K}$ an algebraic closure of $K$ and $\bar{v}$ an extension of $v$ to $\bar{K}$. Let $X$ be a transcendental element over $K$. With the aim of giving a characterization of residual transcendental extensions of $v$ to $K(X)$ \cite{AZ}, V. Alexandru and A. Zaha...
{ "timestamp": "2020-07-28T02:40:24", "yymm": "2007", "arxiv_id": "2007.13578", "language": "en", "url": "https://arxiv.org/abs/2007.13578" }
\section{introduction \label{Sec_I}} In a seminal paper, Ref. \cite{Efimov_1}, Efimov showed that three bosons that interact attractively in vacuum via short-range interactions form three-body bound states at interaction strengths that are not yet sufficient to support two-body bound states. He also showed that the nu...
{ "timestamp": "2020-08-04T02:36:18", "yymm": "2007", "arxiv_id": "2007.13511", "language": "en", "url": "https://arxiv.org/abs/2007.13511" }
\section{Introduction} This contribution deals with the numerical evaluation of the Cauchy integral operator \begin{equation}\label{eq:int_op} (\mathcal C\varphi)(z):=\frac{1}{2\pi i}\int_\Gamma\frac{\varphi(\zeta)}{\zeta-z}\de \zeta,\quad z\in\C\setminus\Gamma, \end{equation} and related complex contour integrals, w...
{ "timestamp": "2021-03-02T02:12:36", "yymm": "2007", "arxiv_id": "2007.13539", "language": "en", "url": "https://arxiv.org/abs/2007.13539" }
\section{Introduction} Let $A$ be an abelian variety over a number field $K$, and $\ell$ a prime number. If $A$ admits a $K$-rational $\ell$-isogeny, then necessarily, at every prime $\mathfrak{p}$ of good reduction not dividing $\ell$, the reduction $\tilde{A}_\mathfrak{p}$ over $\mathbb{F}_\mathfrak{p}$ also admits ...
{ "timestamp": "2020-09-29T02:21:52", "yymm": "2007", "arxiv_id": "2007.13583", "language": "en", "url": "https://arxiv.org/abs/2007.13583" }
\section{Introduction} \label{sec:intro} \IEEEPARstart{O}{btaining} meaningful insight into the power consumption properties of residential users is a topic of growing importance. Such knowledge allows energy providers to better anticipate future demand, while allowing end users to identify costly appliances within the...
{ "timestamp": "2020-07-28T02:43:02", "yymm": "2007", "arxiv_id": "2007.13645", "language": "en", "url": "https://arxiv.org/abs/2007.13645" }
\section{Introduction} Heavy ion collisions are an important laboratory that provides distinct alternatives to probe fundamental aspects of the strong interactions theory -- the Quantum Chromodynamics (QCD). For central and semi -- central collisions, where the impact parameter $b$ of the collision is smaller than the...
{ "timestamp": "2020-07-28T02:41:56", "yymm": "2007", "arxiv_id": "2007.13625", "language": "en", "url": "https://arxiv.org/abs/2007.13625" }
\section{Introduction} \label{section-1} Recent years, Convolutional Neural Networks (CNNs) have been widely used in computer vision tasks such as image classification \cite{krizhevsky2012imagenet}, object detection \cite{ren2015faster}, face recognition \cite{sun2015deepid3}, and object tracking \cite{bertinetto2016...
{ "timestamp": "2020-07-28T02:41:01", "yymm": "2007", "arxiv_id": "2007.13595", "language": "en", "url": "https://arxiv.org/abs/2007.13595" }
\section{Introduction} \label{s.intro} Machine Learning (ML) models have been extensively investigated and used for regression and classification problems~\cite{Krizhevsky:2012,Kim_2016_CVPR,Levine:2016}. More recently, Convolutional Neural Networks (CNNs) have shown great success in many applications, such as image/t...
{ "timestamp": "2020-07-28T02:44:24", "yymm": "2007", "arxiv_id": "2007.13689", "language": "en", "url": "https://arxiv.org/abs/2007.13689" }
\section{Introduction} \label{sec:introduction} \begingroup% \renewcommand{\thefootnote}{}% \footnote{% A preliminary version of this work was presented in \citet{stroh2017sequential}. % The results contained in this article also appear in the PhD thesis of the first author \cite{stroh:thesis}. % } \endgrou...
{ "timestamp": "2021-05-31T02:19:35", "yymm": "2007", "arxiv_id": "2007.13553", "language": "en", "url": "https://arxiv.org/abs/2007.13553" }
\section{Introduction} In predictive modeling, a set of learning examples is used to induce a model that can be used to make accurate predictions for unseen examples. The examples are described with features and are associated with a target variable. The model uses the features to predict the value of the target vari...
{ "timestamp": "2020-11-06T02:11:01", "yymm": "2007", "arxiv_id": "2007.13617", "language": "en", "url": "https://arxiv.org/abs/2007.13617" }
\section{Introduction} Quantum walks are quantum counterparts of classical random walks \cite{Portugal:2013}. Similarly to classical random walks, there are two types of quantum walks: discrete-time quantum walks (DTQW), introduced by Aharonov~{\it et al.}~\cite{Aharonov:1993}, and continuous-time quantum walks (CTQ...
{ "timestamp": "2020-07-28T02:40:01", "yymm": "2007", "arxiv_id": "2007.13564", "language": "en", "url": "https://arxiv.org/abs/2007.13564" }
\section{Introduction and overview}\label{section 1 introduction} Scattering theory has been an important tool in the mathematical and theoretical study of black hole solutions to the Einstein equations, which in vacuum take the form \begin{align}\label{EVE} R_{ab}[g]=0 \end{align} (setting the cosmological constan...
{ "timestamp": "2020-07-28T02:43:27", "yymm": "2007", "arxiv_id": "2007.13658", "language": "en", "url": "https://arxiv.org/abs/2007.13658" }
\section{Introduction and main results} Branching processes considered in this paper are motivated by works of \cite{solomon:1975} and \cite{kesten:kozlov:spitzer:1975}, who analysed a neighbourhood random walk in random environment. This is a random walk $(X_t, t\in\mathbb{Z}^+)$ on $\mathbb{Z}$ defined in the follow...
{ "timestamp": "2020-10-21T02:18:51", "yymm": "2007", "arxiv_id": "2007.13507", "language": "en", "url": "https://arxiv.org/abs/2007.13507" }
\section{Introduction} In order to accurately describe noise-induced phenomenon in spatially-extended systems, it is important to add fluctuations to continuum models that respect some underlying structure like a Hamiltonian and the sampling of the Gibbs/Boltzmann/canonical distribution. Guaranteeing this kind of fl...
{ "timestamp": "2020-07-28T02:41:31", "yymm": "2007", "arxiv_id": "2007.13612", "language": "en", "url": "https://arxiv.org/abs/2007.13612" }
\section{Introduction} \label{sec:nordstr-euler-syst} The purpose of the work presented here is to prove global existence and uniqueness of classical solutions and its asymptotic behavior of a semi-linear wave equation with damping terms. This wave equation arises in the context of the nonlinear Nordström theory of g...
{ "timestamp": "2022-06-28T02:24:51", "yymm": "2007", "arxiv_id": "2007.13603", "language": "en", "url": "https://arxiv.org/abs/2007.13603" }
\section{Introduction} \label{sec:intro} Predicting flow and transport processes in the subsurface is challenging, as the heterogeneous subsurface structure is usually not known. Heterogeneity can cause a broad distribution of transport time scales with short times for advective transport along fast paths and very lon...
{ "timestamp": "2020-07-28T02:41:23", "yymm": "2007", "arxiv_id": "2007.13608", "language": "en", "url": "https://arxiv.org/abs/2007.13608" }
\section{Introduction} Named Entity Recognition (NER) is a vital part of information extraction. It aims to locate and classify the named entities from unstructured text. The different entity categories are usually the person, location and organization names, etc. Kazakh language is an agglutinative language with compl...
{ "timestamp": "2021-10-05T02:33:27", "yymm": "2007", "arxiv_id": "2007.13626", "language": "en", "url": "https://arxiv.org/abs/2007.13626" }
\section{Introduction} The Kardar--Parisi--Zhang (KPZ) universality class of stochastic growth models in one dimension are described by a stochastically growing interface parameterized by a height function. For general initial conditions, the one-point distribution of the large time limit can be written in terms of a v...
{ "timestamp": "2021-03-04T02:26:59", "yymm": "2007", "arxiv_id": "2007.13496", "language": "en", "url": "https://arxiv.org/abs/2007.13496" }
\section{INTRODUCTION} \IEEEPARstart{T}{he} exponential growth of connected devices and emergence of the Internet-of-Everything (IoE), enabling ubiquitous connectivity among billions of people and machines, have been the major driving forces towards the evolution of wireless technologies, aiming to support a plethor...
{ "timestamp": "2020-07-28T02:39:52", "yymm": "2007", "arxiv_id": "2007.13560", "language": "en", "url": "https://arxiv.org/abs/2007.13560" }
\section{Problem Description} \label{Problem Description} Electrolysis is the process of decomposing a chemical product into various byproducts by applying an electrical current \cite{Wendt1999}. It takes place in \emph{electrolyzers}, which are systems composed of multiple \emph{electrochemical cells}. These cells ac...
{ "timestamp": "2020-07-28T02:37:43", "yymm": "2007", "arxiv_id": "2007.13492", "language": "en", "url": "https://arxiv.org/abs/2007.13492" }
\section{Introduction} The problem of group synchronization is critical for various tasks in data science, including structure from motion (SfM), simultaneous localization and mapping (SLAM), Cryo-electron microscopy imaging, sensor network localization, multi-object matching and community detection. Rotation synchron...
{ "timestamp": "2020-08-18T02:05:50", "yymm": "2007", "arxiv_id": "2007.13638", "language": "en", "url": "https://arxiv.org/abs/2007.13638" }
\section*{Supplemental Material} \renewcommand{\theequation}{\thesection.\arabic{equation}} \renewcommand{\thefigure}{\thesection.\arabic{figure}} \numberwithin{equation}{section} \section{Collision integral involving $2\leftrightarrow 2$ processes} \label{app-collision} In this section we calculate the collision i...
{ "timestamp": "2021-01-13T02:24:29", "yymm": "2007", "arxiv_id": "2007.13691", "language": "en", "url": "https://arxiv.org/abs/2007.13691" }
\section{Acknowledgments} The authors would like to express gratitude to Prof. Amos Breskin and Dr. Arindam Roy of the Weizmann Institute for fruitful discussions and help. The authors are thankful to the High-Energy group at the Weizmann Institute working on the ATLAS experiment for their help in making parts of th...
{ "timestamp": "2020-12-02T02:24:13", "yymm": "2007", "arxiv_id": "2007.13616", "language": "en", "url": "https://arxiv.org/abs/2007.13616" }
\section{Introduction} The hidden economy is perceived by tax authorities around the world, such as the Australian Taxation Office (ATO), as containing businesses that intentionally hide their income to avoid paying the right amount of taxes primarily by not recording or reporting all cash or electronic transactions; a...
{ "timestamp": "2020-07-28T02:38:30", "yymm": "2007", "arxiv_id": "2007.13525", "language": "en", "url": "https://arxiv.org/abs/2007.13525" }
\section{Introduction}\label{Sec1} \IEEEPARstart{R}apid growth of wireless networks and the emergence of variety of applications, including the Internet of Things (IoT), massive machine-type communication (mMTC), and critical controls, necessitate sophisticated solutions to secure data transmission. Traditionally, the...
{ "timestamp": "2021-10-26T02:26:44", "yymm": "2007", "arxiv_id": "2007.13571", "language": "en", "url": "https://arxiv.org/abs/2007.13571" }
\section{Introduction} \label{sec:introduction} In the age of Big Data, modern-day computational data science heavily relies on generating highly complex data-driven models. However, the consistent increase in data volume is challenging the processing power for data analytics and machine learning (ML) frameworks. The...
{ "timestamp": "2020-11-12T02:12:39", "yymm": "2007", "arxiv_id": "2007.13552", "language": "en", "url": "https://arxiv.org/abs/2007.13552" }
\section{Introduction} \label{sec1} The Hepatitis C Virus (HCV) is a blood-borne virus identified as the main cause of the liver disease [\citenum{JJJ,Prati,Wasley}]. Globally, about three percent of the world population (170 million) are dealing with the HCV and 71 million people have chronic hepatitis C infection [\...
{ "timestamp": "2020-07-28T02:38:29", "yymm": "2007", "arxiv_id": "2007.13522", "language": "en", "url": "https://arxiv.org/abs/2007.13522" }
\section{Introduction} Given a differential system with input of the form $\overset{.}{y}(t)=f(y(t),{\bf u}(t))$ and an initial condition $y(0)=y_0$, the calculation of a control ${\bf u}(\cdot)$ that minimizes a given cost function ({\em optimal control}) rarely has an analytical solution, and numerical methods must ...
{ "timestamp": "2020-07-28T02:43:01", "yymm": "2007", "arxiv_id": "2007.13644", "language": "en", "url": "https://arxiv.org/abs/2007.13644" }
\section{Introduction}\label{INTRO} Since its introduction, Morse Theory has been an active field of research and connections with many different areas of Mathematics have been found. That interaction has led to several adaptations of Morse Theory to different contexts, for example: PL versions by Banchoff \cite{Banc...
{ "timestamp": "2020-07-28T02:40:01", "yymm": "2007", "arxiv_id": "2007.13565", "language": "en", "url": "https://arxiv.org/abs/2007.13565" }
\section{Introduction} \label{sec:intro} Disk-like structures are ubiquitous in the universe, from the galactic disks in spiral galaxies to the accretion disks in active galactic nuclei (AGN) and X-ray binaries, to protoplanetary disks, debris disks, and planetary rings in the formation and evolution process of planet...
{ "timestamp": "2020-07-28T02:41:35", "yymm": "2007", "arxiv_id": "2007.13613", "language": "en", "url": "https://arxiv.org/abs/2007.13613" }
\section{Introduction} \label{sec:intro} Massive wireless device connectivity under limited spectrum resources is considered as cornerstone of the wireless Internet-of-Things (IoT) evolution. As a transformative physical-layer technology, non-orthogonal multiple access (NOMA) \cite{Intro-NOMA-book-vaezi2019multiple...
{ "timestamp": "2020-07-28T02:37:46", "yymm": "2007", "arxiv_id": "2007.13495", "language": "en", "url": "https://arxiv.org/abs/2007.13495" }
\section{\label{sec:intro}INTRODUCTION} The discovery of rare events caused by new physics requires that backgrounds which could mimic the signal be reduced as much as possible. Irreducible backgrounds must be well studied with credible estimates of their uncertainties. Searches for new physics based on the dual-phase...
{ "timestamp": "2020-12-14T02:26:33", "yymm": "2007", "arxiv_id": "2007.13686", "language": "en", "url": "https://arxiv.org/abs/2007.13686" }
\section{Introduction} In this paper we present a method to preserve certain splitting families along finite support iterations. These splitting families are constructed via forcing, using specific uncountable $2$-edge-labeled graphs\footnote{A \emph{$2$-edge-labeled graph} is a simple graph whose edges are labeled b...
{ "timestamp": "2020-07-28T02:37:50", "yymm": "2007", "arxiv_id": "2007.13500", "language": "en", "url": "https://arxiv.org/abs/2007.13500" }
\section{Introduction} In the past decade, multi-label learning has attracted lots of attention in the fields of neural network and machine learning \cite{charte2014li-mlc,liu2015on,liu2017an,Li2018A,shen2018multilabel}. In this problem, instances (e.g., images, documents) are assumed to be associated with a set of lab...
{ "timestamp": "2020-07-28T02:39:21", "yymm": "2007", "arxiv_id": "2007.13547", "language": "en", "url": "https://arxiv.org/abs/2007.13547" }
\section{Introduction} Transmission spectroscopy has proven to be a highly successful method for probing the atmospheres of close-in exoplanets, allowing us to infer the chemical composition and physical structure of a planet's atmosphere without needing to spatially resolve the planet and star. During primary transit...
{ "timestamp": "2020-07-28T02:38:11", "yymm": "2007", "arxiv_id": "2007.13510", "language": "en", "url": "https://arxiv.org/abs/2007.13510" }
\section{Introduction} As a white dwarf cools down, the fully ionized plasma that makes up its core eventually becomes so correlated that a first-order phase transition occurs, leading to the formation of a solid core. Predicted more than 50 years ago \citep{vanhorn1968}, the unequivocal observational signature of this...
{ "timestamp": "2020-07-28T02:43:44", "yymm": "2007", "arxiv_id": "2007.13669", "language": "en", "url": "https://arxiv.org/abs/2007.13669" }
\subsection{Dual Loss Functions} To optimize the entire denoising process, we consider {\it dual loss} to measure the quality of both the subsampling and final point cloud reconstruction. That is, we have two loss functions, including 1) a loss function $\mathcal{L}_{\mathrm{sample}}$ to quantify the distance between...
{ "timestamp": "2020-08-11T02:16:37", "yymm": "2007", "arxiv_id": "2007.13551", "language": "en", "url": "https://arxiv.org/abs/2007.13551" }
\section{Introduction} Core-collapse supernova (CCSN) explosions are among the most energetic astrophysical phenomena in which neutrino emission is a major effect~\cite{Janka:2012wk, Burrows:2012ew}. Neutrino flavor evolution in CCSNe is a very rich and nonlinear phenomenon in which neutrinos can experience colle...
{ "timestamp": "2021-02-10T02:01:28", "yymm": "2007", "arxiv_id": "2007.13655", "language": "en", "url": "https://arxiv.org/abs/2007.13655" }
\section{Introduction}\label{section_intro} Active Galactic Nuclei (AGN) are one of the most energetic phenomena in the universe. The supermassive black hole in the galactic center grows by actively accreting gas and dust from their surroundings. The temperature of the accreting mass depends on distance from the black...
{ "timestamp": "2020-07-28T02:39:37", "yymm": "2007", "arxiv_id": "2007.13554", "language": "en", "url": "https://arxiv.org/abs/2007.13554" }
\section{Introduction} \textit{Rheology} is a field of science dedicated to study the deformation and flow of matter, according to the etymological definition of the word coined by Prof. Bingham in 1920 \cite{Barnesycol1993}. \textit{Rheometry} is dedicated to determine experimentally the rheological properties of comp...
{ "timestamp": "2020-07-28T02:41:43", "yymm": "2007", "arxiv_id": "2007.13619", "language": "en", "url": "https://arxiv.org/abs/2007.13619" }
\section{Proof of \pref{lem:kahdisp}} \begin{proof} Let $A$ be the adjacency matrix of $W$. Let $P_{h-1}$ and $P_h(X)$ be the orthogonal projections onto $X_{h-1}$ and onto $X_{h}$, respectively. Let $P_{\leq h-1}$ and $P_{\leq h}(X)$ be the orthogonal projections onto $\textnormal{Ball}_{h-1}(X)$ and $\textnormal{Ba...
{ "timestamp": "2021-02-23T02:06:04", "yymm": "2007", "arxiv_id": "2007.13630", "language": "en", "url": "https://arxiv.org/abs/2007.13630" }
\section{Introduction} Collective synchronization in large ensembles of self-sustained oscillators is a pervasive phenomenon in nature and technology \cite{Win80,PRK01,Izh07}. The first successful attempt to model collective synchronization is due to Winfree \cite{Win67}. Relying on his intuition he devised a model wh...
{ "timestamp": "2020-07-28T02:40:47", "yymm": "2007", "arxiv_id": "2007.13588", "language": "en", "url": "https://arxiv.org/abs/2007.13588" }
\section{Introduction} A variety of wavelengths of the electromagnetic spectrum are typically involved in the fabrication of structures with details ranging from micro- to nano-scale exploiting a plethora of techniques including holography, laser ablation and UV lithography \cite{infusino2012polycryps, sahin2014nanosc...
{ "timestamp": "2020-07-28T02:38:09", "yymm": "2007", "arxiv_id": "2007.13509", "language": "en", "url": "https://arxiv.org/abs/2007.13509" }
\section{Introduction} Surfactants are widely used to control the evaporation behavior of sessile droplets on a flat substrate~\cite{Sempels2013,Alvaro2016,Kwiecinski2019}. The motivation is driven by various applications in inkjet printing, surface coating and patterning~\cite{park2006control,kong2014}, which mainly a...
{ "timestamp": "2020-07-28T02:42:49", "yymm": "2007", "arxiv_id": "2007.13641", "language": "en", "url": "https://arxiv.org/abs/2007.13641" }
\section{Introduction} There is a rich and successful history of describing manifolds with torus actions through discrete objects. Most famously this is illustrated by the bijective correspondence between toric varieties and their fans or more specifically the correspondence between symplectic toric manifolds and Delza...
{ "timestamp": "2020-09-21T02:10:30", "yymm": "2007", "arxiv_id": "2007.13620", "language": "en", "url": "https://arxiv.org/abs/2007.13620" }
\section{Introduction} Recently, the proliferation of Internet of Things (IoT) has triggered a surge in data traffic for future wireless networks. To alleviate such traffic conflicts in existing terrestrial infrastructures as well as provide cloud functionalities on demand, multi-dimensional integrated networking has b...
{ "timestamp": "2020-07-28T02:41:35", "yymm": "2007", "arxiv_id": "2007.13614", "language": "en", "url": "https://arxiv.org/abs/2007.13614" }
\section{Introduction} With the explosive growth of the Internet-of-Things, massive number of users and devices will access wireless networks at the same time~\cite{B_19WireFuture,J_LiuMA18_R2,J_Zhang19prospective}. However, the large amount of data flowing in various wireless propagation channels poses significant ...
{ "timestamp": "2020-07-28T02:44:20", "yymm": "2007", "arxiv_id": "2007.13687", "language": "en", "url": "https://arxiv.org/abs/2007.13687" }
\section{Introduction} During the past decade the dissipative optomechanical coupling introduced into optomechanics by Elste, Girvin, and Clerk \cite{Elste2009} attracted an appreciable attention of theorists~\cite{huang2017,Weiss2013,Weiss2013a,Kilda2016, vyatchanin2016,nazmiev2019,Vostrosablin2014,Tarabrin2013,Xuere...
{ "timestamp": "2020-10-15T02:24:42", "yymm": "2007", "arxiv_id": "2007.13650", "language": "en", "url": "https://arxiv.org/abs/2007.13650" }
\section{INTRODUCTION} Quantum chromodynamics (QCD) is the fundamental theory for describing the strong interaction, and its phase structure is an important subject of great interest in recent decades. The first-principle results from lattice QCD simulation~\cite{lattice1,lattice2} have indicated that with increas...
{ "timestamp": "2021-10-08T02:10:48", "yymm": "2007", "arxiv_id": "2007.13580", "language": "en", "url": "https://arxiv.org/abs/2007.13580" }
\section{Introduction} Entanglement, as characterized by the von Neumann entropy, has recently emerged as an indispensable tool to distinguish phases and phase transitions in many-body quantum systems and reveals highly non-local information \cite{HorHorHorHor2009b,Laf2016,YanChaHamMuc2015}. Many-body localization, wh...
{ "timestamp": "2020-07-28T02:41:19", "yymm": "2007", "arxiv_id": "2007.13604", "language": "en", "url": "https://arxiv.org/abs/2007.13604" }
\section{Introduction} \label{intro} Molecular line emission is one of our primary tools for characterizing the dense interstellar medium. Line observations are uniquely rich in that they carry information not just on the location of gas, but on its physical properties and kinematics. In particular, the velocity info...
{ "timestamp": "2020-07-28T02:37:40", "yymm": "2007", "arxiv_id": "2007.13488", "language": "en", "url": "https://arxiv.org/abs/2007.13488" }
\section*{Background} \label{sec:background} Machine Learning has revolutionized life science research, especially in Neuroimaging and Bioinformatics~\cite{gao2017,serra2018}, such as by modeling interactions between whole brain genomics/imaging~\cite{park2012,medland2014} and identifying Alzheimer's Disease (AD)-relat...
{ "timestamp": "2020-10-13T02:33:04", "yymm": "2007", "arxiv_id": "2007.13559", "language": "en", "url": "https://arxiv.org/abs/2007.13559" }
\section{Introduction} \label{intro} Ulcerative colitis and Crohn's disease represent the two main types of inflammatory bowel disease (IBD). Both are relapsing diseases and may present similar symptoms including long-term inflammation in the digestive system, however they are very different: Ulcerative colitis affect...
{ "timestamp": "2020-07-28T02:40:46", "yymm": "2007", "arxiv_id": "2007.13587", "language": "en", "url": "https://arxiv.org/abs/2007.13587" }
\section{Introduction} The {\em Riemann xi function}, $ \xi(s) := {\textstyle \frac 12} s(s-1)\pi^{-s/2} \G(s/2)\zeta(s), $ is entire of order $1$. It satisfies $\xi(1-s)=\xi(s)$ so that its development about the central point $1/2$ is \begin{equation} \label{xip} \xi(s) = \sum_{n=0}^\infty \frac{\xi^{(2n)}(...
{ "timestamp": "2020-12-11T02:05:16", "yymm": "2007", "arxiv_id": "2007.13582", "language": "en", "url": "https://arxiv.org/abs/2007.13582" }
\section{Introduction} Training neural networks with gradient descent is remarkably effective in a multitude of applications, see e.g. \cite{KrizhevskySutskeverHinton2012,HeZhangRenEtAl2016} for image classification, \cite{SilverHuangMaddisonEtAl2016} for reinforcement learning, \cite{SutskeverVinyalsLe2014,BahdanauCh...
{ "timestamp": "2020-07-28T02:43:29", "yymm": "2007", "arxiv_id": "2007.13664", "language": "en", "url": "https://arxiv.org/abs/2007.13664" }
\section{Introduction} Lightning discharges and thunderclouds have been known as electrical phenomena in the atmosphere since the discovery by Benjamin Franklin in 1752. Thanks to recent observational and theoretical studies, they have been also found to be closely associated with high-energy phenomena comprising high...
{ "timestamp": "2020-07-28T02:41:41", "yymm": "2007", "arxiv_id": "2007.13618", "language": "en", "url": "https://arxiv.org/abs/2007.13618" }
\section{Introduction} In general relativity the Doppler effect can be seen as being produced by the expansion of the universe or by the relative motion as in special relativity. The cosmological effect complies with the general redshift law \cite{SW,H0,H} while the kinetic one is treated separately by using the met...
{ "timestamp": "2020-10-02T02:17:41", "yymm": "2007", "arxiv_id": "2007.13590", "language": "en", "url": "https://arxiv.org/abs/2007.13590" }
\section{Introduction} In the last decades, the theory of optimal transport has made impressive inroads into other disciplines of mathematics, probably most notably with the Lott--Sturm--Villani theory \cite{LV09,Stu06a,Stu06b} of synthetic Ricci curvature bounds for metric measure spaces. More recently, optimal trans...
{ "timestamp": "2021-09-06T02:09:06", "yymm": "2007", "arxiv_id": "2007.13506", "language": "en", "url": "https://arxiv.org/abs/2007.13506" }