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\section{Introduction} \noindent Clustering is an important but very challenging unsupervised task, the goal of which is to partition a set of samples into homogeneous groups \cite{8486482}. Numerous applications can be formulated as a clustering problem, such as recommender systems \cite{song2014online}, community ...
{ "timestamp": "2020-12-17T02:17:25", "yymm": "2012", "arxiv_id": "2012.08916", "language": "en", "url": "https://arxiv.org/abs/2012.08916" }
\section{Introduction} The gap rigidity problem for locally Hermitian symmetric space of noncompact type has been raised by Mok\cite{MR1918134} and Eyssidieux-Mok \cite{MR2127948}. Write a pair of bounded symmetric domains as $i:D\hookrightarrow\Omega$ where $i$ is a geodesic embedding. Write $\Omega=G_0/K$ where $G...
{ "timestamp": "2020-12-17T02:17:45", "yymm": "2012", "arxiv_id": "2012.08926", "language": "en", "url": "https://arxiv.org/abs/2012.08926" }
\section{Acknowledge} This work was supported by the National Key Research and Development Program of China (Grants NO. 2016YFA0302700 and 2017YFA0304100), National Natural Science Foundation of China (Grant NO. 11874343, 11821404, 11774335, 61725504, 61805227, 61805228, 61975195, U19A2075), Anhui Initiative in Quantum...
{ "timestamp": "2020-12-17T02:17:48", "yymm": "2012", "arxiv_id": "2012.08927", "language": "en", "url": "https://arxiv.org/abs/2012.08927" }
\section*{Conflict of interest} \section{Introduction} \label{sec:introduction} Software maintenance has historically been the Achilles' heel of the software life cycle \cite{abreu95b}. Maintenance tasks can be seen as incremental modifications to a software system that aim to add or adjust some functionality or to ...
{ "timestamp": "2020-12-17T02:14:53", "yymm": "2012", "arxiv_id": "2012.08842", "language": "en", "url": "https://arxiv.org/abs/2012.08842" }
\section{Introduction} \label{sec:introduction} Various gravitational, astrophysical and cosmological observations strongly imply the existence of Dark Matter (DM) in the universe. In particular, observations of the cosmological scale structure favour the so-called cold DM (CDM) scenario where the DM was not relativis...
{ "timestamp": "2020-12-17T02:16:59", "yymm": "2012", "arxiv_id": "2012.08901", "language": "en", "url": "https://arxiv.org/abs/2012.08901" }
\section{Introduction} \IEEEPARstart{B}{y enabling} the intelligent reflecting surface (IRS) to the wireless systems, the IRS-aided wireless system recently has attracted significant interest due to its potential to further improve the system capacity and spectral efficiency \cite{Wu2019Beamforming, Zenzo2019Smart}. ...
{ "timestamp": "2020-12-17T02:19:57", "yymm": "2012", "arxiv_id": "2012.08989", "language": "en", "url": "https://arxiv.org/abs/2012.08989" }
\section{Introduction and main results} \subsection{Introduction} Recall that a symplectic manifold is a smooth even-dimensional manifold $M$, equipped with a closed non-degenerate differential 2-form $\omega$. Non-degeneracy of $\omega$ means that its top wedge power, $\omega^n$, is a volume form. Symplect...
{ "timestamp": "2020-12-17T02:18:04", "yymm": "2012", "arxiv_id": "2012.08930", "language": "en", "url": "https://arxiv.org/abs/2012.08930" }
\section{Introduction} Sentence semantic matching is a fundamental \textit{Natural Language Processing~(NLP)} task that tries to infer the most suitable label for a given sentence pair. For example, Natural Language Inference~(NLI) targets at classifying the input sentence pair into one of the three relations~(i.e., \t...
{ "timestamp": "2020-12-17T02:17:34", "yymm": "2012", "arxiv_id": "2012.08920", "language": "en", "url": "https://arxiv.org/abs/2012.08920" }
\section{Introduction} Within the past decades, high-order discontinuous Galerkin (DG) methods~\cite{reed1973,cockburn2000,warburton1999} have become a popular tool to discretize systems of partial differential equations (PDE) in the context of fluid flows. DG methods combine advantages of classical finite volume metho...
{ "timestamp": "2020-12-18T02:18:12", "yymm": "2012", "arxiv_id": "2012.08860", "language": "en", "url": "https://arxiv.org/abs/2012.08860" }
\section{\label{sec:level1}INTRODUCTION} The understanding of physical scale and energy scale is crucial in particle physics, condensed matter research as well as cosmology. For instance, conformal field theory (CFT) is an active research; it leads to AdS/CFT correspondence, which we can study symmetry restoration at...
{ "timestamp": "2021-03-10T02:15:06", "yymm": "2012", "arxiv_id": "2012.09029", "language": "en", "url": "https://arxiv.org/abs/2012.09029" }
\section{Introduction} The numerous examples of application of hybrid perovskites in solar cells,\cite{Park2019} light-emitting diodes,\cite{Xu2019} field-effect transistors,\cite{Wu2019} lasers\cite{Stylianakis2019} and other (opto)electronic devices demonstrate the vast potential of these materials due to their adva...
{ "timestamp": "2020-12-17T02:18:54", "yymm": "2012", "arxiv_id": "2012.08953", "language": "en", "url": "https://arxiv.org/abs/2012.08953" }
\section{Introduction} \label{} This work considers the notion of stability conditions of POD basis interpolation on Grassmann manifolds. This interpolation method is used to adapt Reduced-order models (ROMs) to parameter changes in various scientific fields, among others, design, optimization, control, uncertainty q...
{ "timestamp": "2020-12-17T02:15:01", "yymm": "2012", "arxiv_id": "2012.08851", "language": "en", "url": "https://arxiv.org/abs/2012.08851" }
\section{Introduction} Liouville theorems give conditions under which harmonic functions are constant. For example, the classic Liouville theorem states that all bounded harmonic functions defined on an entire Euclidean space are constant. In this note, we are interested in the case when a harmonic function being squ...
{ "timestamp": "2021-02-18T02:26:02", "yymm": "2012", "arxiv_id": "2012.08936", "language": "en", "url": "https://arxiv.org/abs/2012.08936" }
\section{Introduction} Intuitively, different image understanding tasks offer complementary information for scene understanding and reasoning~\cite{kim2018visual,van2019disentangled,aditya2019integrating,zador2019critique, wu2017visual, ye2020seeing,chen2019touchdown,sistu2019neurall}. Therefore, networks that can per...
{ "timestamp": "2021-06-21T02:02:44", "yymm": "2012", "arxiv_id": "2012.09030", "language": "en", "url": "https://arxiv.org/abs/2012.09030" }
\section{Introduction} The developments of high-intensity laser technologies have opened the door to laser-driven light sources with photon energies from \SI{e-2}{eV} (THz radiation) to \SI{e7}{eV} (gamma-rays)\cite{mourou2019nobel,Renner2019}. Photons with the energies of $285\sim540$ \si{eV} ($\lambda \approx 2.3\sim...
{ "timestamp": "2020-12-17T02:15:15", "yymm": "2012", "arxiv_id": "2012.08856", "language": "en", "url": "https://arxiv.org/abs/2012.08856" }
\section{Introduction} An \emph{$r$-edge-colouring} of a graph (or hypergraph) is a colouring of its edges with~$r$ colours. A \emph{monochromatic subgraph} of an $r$-edge-coloured graph is one in which all the edges have the same colour. Lehel conjectured that every $2$-edge-colouring of the complete graph on~$n$ ver...
{ "timestamp": "2020-12-17T02:15:46", "yymm": "2012", "arxiv_id": "2012.08875", "language": "en", "url": "https://arxiv.org/abs/2012.08875" }
\section*{Acknowledgment} The authors would like to thank the InfoRE company for the data contribution, the ReML-AI research group\footnote{\url{https://reml.ai}} for the data contribution and financial support, and the twenty three annotators for their hard work to support the shared task. Without their support, the ...
{ "timestamp": "2020-12-17T02:16:47", "yymm": "2012", "arxiv_id": "2012.08895", "language": "en", "url": "https://arxiv.org/abs/2012.08895" }
\section*{Introduction} Let $G$ be a real reductive group and $H\subseteq G$ a reductive subgroup. Then, for any irreducible unitary representation $(\pi,\mathcal{H}_\pi)$ of $G$, its restriction to $H$ decomposes into a direct integral of irreducible unitary representations $(\tau,\mathcal{H}_\tau)$ of $H$, i.e. ther...
{ "timestamp": "2021-11-29T02:30:19", "yymm": "2012", "arxiv_id": "2012.08942", "language": "en", "url": "https://arxiv.org/abs/2012.08942" }
\section{Introduction} The recent development of state-of-the-art imaging modalities has revolutionized the way we perform our everyday activities. For example, in self-driving cars, infrared images from the respective camera sensors positioned at the vehicle help to detect obstacles such as pedestrians at night. R...
{ "timestamp": "2020-12-17T02:18:19", "yymm": "2012", "arxiv_id": "2012.08932", "language": "en", "url": "https://arxiv.org/abs/2012.08932" }
\section{Experimental details} The experimental set-up, as sketched in Fig.~1a in the main text, is comprised of a magnetically trapped BEC of $N_\mathrm{a} = 65\times 10^3$ $^{87}$Rb atoms, dispersively coupled to a narrow-band high-finesse optical cavity. The cavity field has a decay rate of $\kappa=~2\pi \times$4....
{ "timestamp": "2021-07-27T02:31:06", "yymm": "2012", "arxiv_id": "2012.08885", "language": "en", "url": "https://arxiv.org/abs/2012.08885" }
\section{\@startsection{section}{1}% \z@{-1.2\linespacing\@plus-.5\linespacing}{.8\linespacing}% {\normalfont\bfseries\Large}} \def\subsection{\@startsection{subsection}{2}% \z@{-.8\linespacing\@plus-.3\linespacing}{.3\linespacing\@plus.2\linespacing}% {\normalfont\bfseries\large}} \def\subsubsection{\@startsection...
{ "timestamp": "2021-02-03T02:04:53", "yymm": "2012", "arxiv_id": "2012.09000", "language": "en", "url": "https://arxiv.org/abs/2012.09000" }
\section{Introduction} Changing some specific features (such as sentiment, tense, or human face pose) of a given text or image is very important in many applications. These features are usually embedded in the weights of ``black-box'' deep neural networks. Hence, disentangling the latent space of the neural network b...
{ "timestamp": "2021-08-04T02:13:40", "yymm": "2012", "arxiv_id": "2012.08883", "language": "en", "url": "https://arxiv.org/abs/2012.08883" }
\section{Introduction} Research on benchmarking learning algorithms for NLP tasks~\cite{1904.08067,2004.03705,yadav-bethard-2018-survey,guntara-etal-2020-benchmarking} have largely focused on the quality of the models by some accuracy metrics such as the F1 score. The costs which include processing time, memory resour...
{ "timestamp": "2021-04-16T02:06:33", "yymm": "2012", "arxiv_id": "2012.08958", "language": "en", "url": "https://arxiv.org/abs/2012.08958" }
\section*{Introduction} An extended pseudo-metric space, here called an ep-metric space, is a set $X$ together with a function $d:X \times X \to [0,\infty]$ such that the following conditions hold: \begin{itemize} \item[1)] $d(x,x)=0$, \item[2)] $d(x,y) = d(y,x)$, \item[3)] $d(x,z) \leq d(x,y) + d(y,z)$. \en...
{ "timestamp": "2020-12-17T02:21:23", "yymm": "2012", "arxiv_id": "2012.09026", "language": "en", "url": "https://arxiv.org/abs/2012.09026" }
\section{Introduction} Analytical nuclear gradients are the foundation of the quantum chemical elucidation of complex reaction mechanisms via molecular dynamics simulations and minimum-energy and transition-state structure optimization. However, the routine calculation of \textit{ab initio} energies and forces with ...
{ "timestamp": "2020-12-17T02:16:53", "yymm": "2012", "arxiv_id": "2012.08899", "language": "en", "url": "https://arxiv.org/abs/2012.08899" }
\section{Introduction and the main result} The concept of chaos is in the core of the dynamical systems theory. The understanding that random behavior can occur from the evolution of deterministic systems, such as in discrete dynamical systems on compact metric spaces, lead many mathematicians to try to formalize th...
{ "timestamp": "2021-12-07T02:16:43", "yymm": "2012", "arxiv_id": "2012.08894", "language": "en", "url": "https://arxiv.org/abs/2012.08894" }
\section{Introduction} The ability to refer to the past is essential for robots for their long-term interaction with humans. The goal of this paper is to validate the benefits of the history-aware robot, especially when it continuously receives the text instructions to perform a series of pick-and-place manipulations...
{ "timestamp": "2020-12-17T02:19:21", "yymm": "2012", "arxiv_id": "2012.08977", "language": "en", "url": "https://arxiv.org/abs/2012.08977" }
\section{Introduction} \label{sec:intro} \noindent It is useful to distinguish between simple and complex cells in the visual cortex, as proposed by \cite{hubel-1962}. The original classification is based on four characteristic properties of simple cells, as follows. Firstly, the receptive field has distinct excita...
{ "timestamp": "2020-12-17T02:21:24", "yymm": "2012", "arxiv_id": "2012.09027", "language": "en", "url": "https://arxiv.org/abs/2012.09027" }
\section{Introduction} This paper is in the line of recent efforts to promote first-order methods as a viable alternative to interior-point methods (IPM) for solving large-scale conic optimization problems, in particular large-scale semidefinite programming (SDP) relaxations of polynomial optimization problems (POPs). ...
{ "timestamp": "2020-12-17T02:15:38", "yymm": "2012", "arxiv_id": "2012.08873", "language": "en", "url": "https://arxiv.org/abs/2012.08873" }
\section{Introduction} Spontaneous Rayleigh-Brillouin (RB) scattering spectra of gaseous/fluidic media contain information on the thermodynamics and the transport properties of the gases/fluids such as thermal diffusivity, speed of sound, relaxation times of various dynamical processes, etc.~\cite{Miles2001,Mcmanus201...
{ "timestamp": "2020-12-17T02:19:27", "yymm": "2012", "arxiv_id": "2012.08982", "language": "en", "url": "https://arxiv.org/abs/2012.08982" }
\section{INTRODUCTION} \label{sec:intro} The Atacama Large Millimeter/submillimeter Array (ALMA) is one of the largest astronomical projects today. In operation since end of 2011 and continuously being updated and extended, ALMA is now in observation Cycle 7. The observatory presently consists of an array of fifty 12-...
{ "timestamp": "2020-12-17T02:19:58", "yymm": "2012", "arxiv_id": "2012.08993", "language": "en", "url": "https://arxiv.org/abs/2012.08993" }
\section*{Acknowledgements} \epigraph{``Perhaps we’ll have some answers, at least, before the end. I always dreamed of dying well-informed."}{---Joe Abercrombie, \textit{Last Argument of Kings}} I would like to express my gratitude to my advisors Prof. \nolinebreak Ron M. Adin and Prof. Yuval Roichm...
{ "timestamp": "2020-12-17T02:20:35", "yymm": "2012", "arxiv_id": "2012.09010", "language": "en", "url": "https://arxiv.org/abs/2012.09010" }
\section{Introduction} In this paper I propose new methods of estimating treatment effects for panel models with heterogenous trends. Two motivational numerical examples are illustrated in Figure \ref{fig:motiv} based on simulated data generated by a model considered by Abadie, Diamond and Hainmueller (2010, ADH), wit...
{ "timestamp": "2020-12-17T02:19:50", "yymm": "2012", "arxiv_id": "2012.08988", "language": "en", "url": "https://arxiv.org/abs/2012.08988" }
\section{Introduction} Object recognition technology has achieved remarkable developments in great quantifies of research fields, \emph{e.g.}, autonomous driving \cite{Behl_2017_ICCV, Li_Peixuan_RTM3D}, intelligent robotics \cite{8593741, ijcai2020-77, chen-etal-2020-bridging}, object clustering \cite{yang2020adversari...
{ "timestamp": "2020-12-17T02:20:52", "yymm": "2012", "arxiv_id": "2012.09014", "language": "en", "url": "https://arxiv.org/abs/2012.09014" }
\section{Introduction} Deep learning models have achieved tremendous success in a wide variety of tasks related to computer vision (CV) and natural language processing (NLP). However, we still do not have a clear understanding regarding the generalization behavior of these models. Generalization is defined as the abili...
{ "timestamp": "2020-12-17T02:15:07", "yymm": "2012", "arxiv_id": "2012.08854", "language": "en", "url": "https://arxiv.org/abs/2012.08854" }
\section{Introduction} A fundamental quantum description of the gravitational field which is valid across arbitrarily short length scales remains unknown. Frequently, a theory of quantum gravity is claimed to necessitate tools which go beyond quantum-field theoretic tools due to the perturbative non-renormalizability o...
{ "timestamp": "2021-04-19T02:06:19", "yymm": "2012", "arxiv_id": "2012.08904", "language": "en", "url": "https://arxiv.org/abs/2012.08904" }
\section{Introduction} This paper provides a new framework to answer questions in quantitative topology using Chen's theory of iterated integrals. In the 1970s Kuo-Tsai Chen built a de Rham complex for the loop space $\Omega X$ of a simply connected smooth manifold. Chen showed that a certain subcomplex of this de Rha...
{ "timestamp": "2020-12-17T02:18:23", "yymm": "2012", "arxiv_id": "2012.08937", "language": "en", "url": "https://arxiv.org/abs/2012.08937" }
\section{Introduction} The paper is devoted to the study of amenability properties in the framework of DF-algebras. These are algebras with jointly continuous multiplication whose underlying topological vector spaces are DF-spaces. The category of DF-spaces contains spaces of distributions, e.g. tempered distribut...
{ "timestamp": "2020-12-17T02:18:55", "yymm": "2012", "arxiv_id": "2012.08956", "language": "en", "url": "https://arxiv.org/abs/2012.08956" }
\section{Introduction} In 2008 the US government released its first-ever evidence-based guidance on PA, which acknowledged very strong evidence that physically active people have higher levels of health-related fitness, a lower risk profile for developing cardiovascular diseases, and lower rates of various chronic dise...
{ "timestamp": "2020-12-17T02:19:18", "yymm": "2012", "arxiv_id": "2012.08975", "language": "en", "url": "https://arxiv.org/abs/2012.08975" }
\section{Introduction} Approaches for Session-based Recommendation (SR) aim to dynamically recommend items to a user based on the sequence of ongoing interactions (e.g. item clicks) in a session. Several existing deep learning (DL) approaches for SR are designed to maximize the immediate (short-term) reward for recomm...
{ "timestamp": "2020-12-17T02:19:35", "yymm": "2012", "arxiv_id": "2012.08984", "language": "en", "url": "https://arxiv.org/abs/2012.08984" }
\section{Introduction}\label{sec:intro} \subsection{Results} Scalar curvature is a microscopic concept. The scalar curvature at a point~$p$ of a Riemannian manifold~$M$ can be read off from the volumes of balls around~$p$ whose radii approach zero. A lower scalar curvature bound for~$M$ corresponds to an upper bound o...
{ "timestamp": "2021-11-09T02:10:42", "yymm": "2012", "arxiv_id": "2012.08999", "language": "en", "url": "https://arxiv.org/abs/2012.08999" }
\section[Introduction]{Introduction} \label{sec:intro} Outflows in the form of winds are commonly associated with various astrophysical sources like AGNs, X-ray binaries, YSOs etc. In radio quiet AGNs, blue-shifted iron lines are frequently reported. This blue shift is believed to be generated from resonance absorptio...
{ "timestamp": "2020-12-21T02:08:32", "yymm": "2012", "arxiv_id": "2012.08886", "language": "en", "url": "https://arxiv.org/abs/2012.08886" }
\section{\label{sec:level1}Introduction} The emergence of 4\textsuperscript{th} generation synchrotron sources based on low-emittance rings \cite{MAXIV18} and of spatially coherent X-ray Free Electron Lasers (XFELs) \cite{EUXFEL20,LCLS10}, open a new era in the study of high coherence materials, such as perfect crysta...
{ "timestamp": "2021-10-12T02:31:29", "yymm": "2012", "arxiv_id": "2012.08893", "language": "en", "url": "https://arxiv.org/abs/2012.08893" }
\section{Introduction} The reproduction number, $R_t \equiv R$, gives the average number of new infections caused by a single infected person throughout the infectious period. In contrast to the basic reproduction number $R_0$, which describes the reproduction of the virus in a na\"ive, unmitigated population, $R$...
{ "timestamp": "2021-03-16T01:34:13", "yymm": "2012", "arxiv_id": "2012.08843", "language": "en", "url": "https://arxiv.org/abs/2012.08843" }
\section{Introduction} \IEEEPARstart{C}loud computing demands high-portability. Containerisation ensures compatibility of applications and their environment by encapsulating applications with their libraries and configuration files \cite{8360359}, thus enables users to move and deploy programs easily among clusters. C...
{ "timestamp": "2021-01-14T02:19:37", "yymm": "2012", "arxiv_id": "2012.08866", "language": "en", "url": "https://arxiv.org/abs/2012.08866" }
\section{Introduction} Although deep neural networks have recently been contributing to state-of-the-art advances in various areas \cite{Krizhevsky:2012:ICD:2999134.2999257, hinton2012deep, DBLP:journals/corr/SutskeverVL14}, such black-box models may not be deemed reliable in situations where safety needs to be guarant...
{ "timestamp": "2020-12-21T02:12:16", "yymm": "2012", "arxiv_id": "2012.08884", "language": "en", "url": "https://arxiv.org/abs/2012.08884" }
\section{Introduction and main results} \label{sec:introduction} \subsection*{Harmonic functions for the standard Laplacian} Let us first briefly recall some facts around the continuous Laplacian in $\mathbb R^2$ \begin{equation} \label{eq:continuous_Laplacian} \Delta=\sigma_1\frac{\partial^2}{\partial x^2}+2\sigm...
{ "timestamp": "2020-12-17T02:18:35", "yymm": "2012", "arxiv_id": "2012.08947", "language": "en", "url": "https://arxiv.org/abs/2012.08947" }
\section{Introduction} \label{sec:intro} A \ac{GW} signal contains enough information to determine the luminosity distance to the binary \citep{1986Natur.323..310S}. Distance distribution of multiple observations can be combined to infer the redshift evolution of the merger rate \citep{2018ApJ...863L..41F, 2019ApJ...88...
{ "timestamp": "2020-12-17T02:14:41", "yymm": "2012", "arxiv_id": "2012.08839", "language": "en", "url": "https://arxiv.org/abs/2012.08839" }
\section{Introduction and statement of results}\label{sec1}} \setcounter{equation}{0} \par In this paper, we study the existence and concentration behavior of positive ground state solutions for the following critical Schr\"{o}dinger--Poisson system: \begin{equation}\label{11} \begin{cases} -\varepsilon^...
{ "timestamp": "2020-12-17T02:19:22", "yymm": "2012", "arxiv_id": "2012.08978", "language": "en", "url": "https://arxiv.org/abs/2012.08978" }
\section{Introduction} Molecular outflows are a commonly observed feature of the star-formation process detected toward protostars that will ultimately form stars covering a wide range of main sequence masses up to spectral type B ($M_*\sim10$\solmass) and beyond. The driving force responsible for such bipolar molecula...
{ "timestamp": "2020-12-17T02:18:38", "yymm": "2012", "arxiv_id": "2012.08948", "language": "en", "url": "https://arxiv.org/abs/2012.08948" }
\section{Introduction} Black hole binaries (BHBs) are the best candidates to study the connection between accretion and ejection mechanisms due to their high variability and high X-ray flux. The timescale of variability is comparable to human timescales and hence the whole cycle of accretion and ejection can be studied...
{ "timestamp": "2020-12-17T02:21:17", "yymm": "2012", "arxiv_id": "2012.09023", "language": "en", "url": "https://arxiv.org/abs/2012.09023" }
\section{experiments/accuracy-predictor-portability} The accuracy-predictor used in DONA~can be reused for search spaces different from the one it has been trained for, as long as the quality metrics for blocks in the new search space overlaps with those the predictor has been generated for. This is a major advanta...
{ "timestamp": "2021-08-30T02:17:32", "yymm": "2012", "arxiv_id": "2012.08859", "language": "en", "url": "https://arxiv.org/abs/2012.08859" }
\section{Code Generation} \section{Specifications}\label{app:specs} The specifications used for the experimental evaluation can be found here. \Cref{fig:networkspec} contains the network specification~\cite{fpgalola}. The specification monitors the network traffic of a server based on the source and destination I...
{ "timestamp": "2020-12-17T02:19:07", "yymm": "2012", "arxiv_id": "2012.08961", "language": "en", "url": "https://arxiv.org/abs/2012.08961" }
\subsection{Online Representation}\label{sec:measuerments-oov} \textbf{Word Embedding for Logs.} Logs are designed to facilitate user readability. Consequently, the constant parts of logs are defined in human readable manner by developers. Many methods (\textit{e.g.,} word2vec~\cite{mikolov2013exploiting}) thus us...
{ "timestamp": "2020-12-17T02:18:25", "yymm": "2012", "arxiv_id": "2012.08938", "language": "en", "url": "https://arxiv.org/abs/2012.08938" }
\section{Introduction} \label{sec:intro} In 2004, Li \cite{Li/2004} has proposed holographic dark energy principle to search the dark energy scenario and the authors of Refs. \cite{Nojiri/2006,Li/2009,Gong/2005} have investigated that this concept of holographic dark energy can be utilize in quantum gravity. In Wang an...
{ "timestamp": "2021-06-03T02:13:11", "yymm": "2012", "arxiv_id": "2012.08971", "language": "en", "url": "https://arxiv.org/abs/2012.08971" }
\section{Introduction} \label{sec:intro} ColorShapeLinks is an artificial intelligence (AI) competition framework for the Simplexity board game \citep{simplexitybgg} with arbitrary dimensions. It is a similar game to Connect-4, with pieces defined not only by color, but also by shape. The ColorShapeLinks development ...
{ "timestamp": "2021-03-01T02:22:58", "yymm": "2012", "arxiv_id": "2012.09015", "language": "en", "url": "https://arxiv.org/abs/2012.09015" }
\section{Introduction} \label{sec:intro} Giant radio sources (GRSs) are objects with extremely large projected linear sizes ($>$ 0.7 Mpc; assuming H$_0$=71 km $\rm s^{-1} Mpc^{-1}$, $\Omega_M$=0.27, $\Omega_{\Lambda}$=0.73; \citealt{spergel2003}). It is believed that such large radio size structures are relatively rar...
{ "timestamp": "2020-12-17T02:15:16", "yymm": "2012", "arxiv_id": "2012.08857", "language": "en", "url": "https://arxiv.org/abs/2012.08857" }
\section{Introduction} \label{sec:intro} \ac{AEC} is an essential part of any full-duplex hands-free acoustic communication \commentTHd{application, e.g., teleconferencing or human-machine dialogue systems} \cite{enzner_acoustic_2014}. Research on \ac{AEC} algorithms has evolved from simple time-domain \commentTHb{\ac...
{ "timestamp": "2021-03-02T02:44:59", "yymm": "2012", "arxiv_id": "2012.08867", "language": "en", "url": "https://arxiv.org/abs/2012.08867" }
\section{Notation} \subsection{About String} Let $\Sigma$ be a finite alphabet, then $\Sigma^\star$ denotes the free monoid over $\Sigma$. For a linear string $w = a_1\ldots a_n$ over the alphabet $\Sigma$, $|w| = n$ is the \emph{length} of $w$, $w[i] = a_i$ is the $i^{th}$ \emph{character} of $w$, $w[i:j] = a_i \ldo...
{ "timestamp": "2021-11-18T02:17:37", "yymm": "2012", "arxiv_id": "2012.08878", "language": "en", "url": "https://arxiv.org/abs/2012.08878" }
\chapter{} \pagenumbering{arabic} \section{} \section{} \chapter{The path ahead} \pagenumbering{arabic} \section{Discussion of the state of the art.} \section{What directions we can go} \section{Conclusion} \chapter{Conclusion} \pagenumbering{arabic} In this thesis, we have examined the Higgsplosion me...
{ "timestamp": "2020-12-17T02:21:29", "yymm": "2012", "arxiv_id": "2012.09028", "language": "en", "url": "https://arxiv.org/abs/2012.09028" }
\section{Introduction} \label{intro} Mass loss from massive stars impacts their evolution \citep[e.g.,][]{2012ARA&A..50..107L} as well as the evolution and dynamics of the surrounding interstellar medium \citep[ISM;][]{1975ApJ...200L.107C}. One of the most visible manifestations of stellar mass loss, a bow shock, for...
{ "timestamp": "2018-03-16T01:01:01", "yymm": "1712", "arxiv_id": "1712.04958", "language": "en", "url": "https://arxiv.org/abs/1712.04958" }
\section{Introduction} \noindent In the beginning af the 1950s the stellar triple-$\alpha$ process was proposed as the production mechanism for $^{12}\mathrm{C}$~\cite{Opik1951,Salpeter1952}. A main role in this process is played by the first excited $0^+$ state in $^{12}\mathrm{C}$, also known as the Hoyle state~\cite...
{ "timestamp": "2018-02-19T02:05:04", "yymm": "1712", "arxiv_id": "1712.05251", "language": "en", "url": "https://arxiv.org/abs/1712.05251" }
\section{Introduction} \label{sec:Introduction} The prospect of pileup induced backgrounds at the High Luminosity LHC (HL-LHC) has stimulated interest in developing technology for charged particle timing at high rates~\cite{White:2013taa}. Since the hermetic timing approach (where a large fraction of tracks are used to...
{ "timestamp": "2018-03-15T01:09:54", "yymm": "1712", "arxiv_id": "1712.05256", "language": "en", "url": "https://arxiv.org/abs/1712.05256" }
\section{Introduction} Spintronics is about generation, detection and manipulation of spin degree of freedom of particles. Most early studies focused on the electron spins \cite{DasSarma}. However, an electric current normally accompanies an electron spin current and consumes much energy, leading to a Joule heatin...
{ "timestamp": "2017-12-15T02:01:58", "yymm": "1712", "arxiv_id": "1712.05027", "language": "en", "url": "https://arxiv.org/abs/1712.05027" }
\section{} \citet{ros64,ros73} and \citet{ros89} conducted a multi-decade (1955 -- 1986) imaging survey for novae in M31 using the 1.22m reflector at the Asiago observatory, supplemented from 1973 onwards with observations from the 1.82m telescope at Mount Ekar. During the course of the survey, Rosino discovered a to...
{ "timestamp": "2017-12-15T02:01:55", "yymm": "1712", "arxiv_id": "1712.05023", "language": "en", "url": "https://arxiv.org/abs/1712.05023" }
\section{Introduction} The ubiquitous deployment of nanocrystals (NCs) in photonics stems from the impressive tunability of their physical and chemical properties, combined with the nano-positioning opportunities offered by support-free colloids and from the possibility of mass-production at low costs \cite{Kovalenko20...
{ "timestamp": "2017-12-18T02:05:42", "yymm": "1712", "arxiv_id": "1712.05178", "language": "en", "url": "https://arxiv.org/abs/1712.05178" }
\section{Introduction} \label{sec:intro} The discovery of a quantized conductivity in the Quantum Hall Effect (QHE)~\cite{Klitzing1980} and its subsequent interpretation in terms of a topological invariant, the TKNN invariant~\cite{Thouless1982}, was (retrospectively) one of the first examples of topological phases o...
{ "timestamp": "2018-02-23T02:03:29", "yymm": "1712", "arxiv_id": "1712.05069", "language": "en", "url": "https://arxiv.org/abs/1712.05069" }
\section{Applications}\label{sec:ApplicationsGlueing} \subsection{Rational tangle detection} \begin{observation}\label{obs:AlexGradingOfCFTdLoops} The Alexander grading on $\CFTd(T,M)$ implies that for a tangle $T$, each loop in $L_T$ lies in the kernel of \[\pi_1(\partial M\smallsetminus \partial T)\rightarr...
{ "timestamp": "2019-07-10T02:01:45", "yymm": "1712", "arxiv_id": "1712.05050", "language": "en", "url": "https://arxiv.org/abs/1712.05050" }
\section{Introduction} This paper deals with the generalized Kadomtsev-Petviashvili (GKP) equation in $\mathbb{R}^N$ \begin{equation} \label{eq1*} u_t + u_{xxx}+(h(u))_x = D^{-1}_{x}\Delta_y u, \end{equation} where $ (t,x,y)\times \R^{+}\times\R \times\R^{N-1},$ $ N \geq 2,$ $\displaystyle D^{-1}_{x} f(x,y)=\...
{ "timestamp": "2019-02-07T02:17:37", "yymm": "1712", "arxiv_id": "1712.05221", "language": "en", "url": "https://arxiv.org/abs/1712.05221" }
\section{Introduction} \subsection{Stationary problems} The most popular implicit finite difference schemes, which approximate classic PDEs of mathematical physics, use three point stencils (for 1D problems) and have the second order of approximation. To improve the order, we can develop the stencil up to five point...
{ "timestamp": "2018-05-31T02:10:06", "yymm": "1712", "arxiv_id": "1712.05214", "language": "en", "url": "https://arxiv.org/abs/1712.05214" }
\section{Introduction} \label{intro} Active galactic nuclei (AGN) have been found to be variable (in flux and/or spectrum) at all wavebands, from radio to X-rays, and even $\gamma$-rays, with variability amplitude being as large as a factor of $\sim 100$ \citep{Ulrich1997, Peterson2001, Netzer2008}. Moreover, the AGN ...
{ "timestamp": "2018-01-03T02:12:23", "yymm": "1712", "arxiv_id": "1712.05272", "language": "en", "url": "https://arxiv.org/abs/1712.05272" }
\subsection{Related Work} \label{sec:related} Resource allocation, utility maximization and opportunistic scheduling for downlink wireless systems have been intensely studied in the last two decades, and have had a major impact on cellular standards. We refer to \cite{sriyin14,GeoNeeTas06} for a survey of the key r...
{ "timestamp": "2018-08-28T02:08:50", "yymm": "1712", "arxiv_id": "1712.05344", "language": "en", "url": "https://arxiv.org/abs/1712.05344" }
\section{Introduction} Let $\hat M^m(c)$ be the compact complex Grassmannian $SU_{m+2}/S(U_2U_m)$ of rank two (resp. noncompact complex Grassmannian $SU_{2,m}/S(U_2U_m)$ of rank two) for $c>0$ (resp. $c<0$), where $c=\max||K||/8$ is a scaling factor for the Riemannian metric $g$ and $K$ is the sectional curvatur...
{ "timestamp": "2017-12-15T02:04:15", "yymm": "1712", "arxiv_id": "1712.05108", "language": "en", "url": "https://arxiv.org/abs/1712.05108" }
\section{Introduction\label{sec:1}} The knowledge of how to find inverse multivector (MV) in the Clifford algebra in a symbolic and coordinate-free form is very important both from practical computational and purely theoretical point of views. A universal formula for inverse MV would allow to write down a fast and gen...
{ "timestamp": "2018-03-15T01:07:06", "yymm": "1712", "arxiv_id": "1712.05204", "language": "en", "url": "https://arxiv.org/abs/1712.05204" }
\section*{Supplemental Material} \setcounter{figure}{0} \setcounter{equation}{0} \setcounter{table}{0} \renewcommand\theequation{S\arabic{equation}} \renewcommand\thesection{S\arabic{section}} \renewcommand\thefigure{S\arabic{figure}} \renewcommand\thetable{S\Roman{table}} \section{overlap between the displaced Fock st...
{ "timestamp": "2018-05-08T02:14:15", "yymm": "1712", "arxiv_id": "1712.05039", "language": "en", "url": "https://arxiv.org/abs/1712.05039" }
\section{Introduction} The out-of-time-order (OTO) four-point function $F(\hat{u}) = \langle V(\hat{u}) W(0) V(\hat{u}) W(0) \rangle/(\langle VV \rangle \langle WW \rangle)$ in a thermal state serves as a diagnostic of quantum chaos \cite{Larkin:1969aa,Shenker:2013pqa,Shenker:2013yza,Leichenauer:2014nxa,Maldacena:20...
{ "timestamp": "2017-12-22T02:10:30", "yymm": "1712", "arxiv_id": "1712.04963", "language": "en", "url": "https://arxiv.org/abs/1712.04963" }
\section*{Abstract } \noindent \textbf{Motivation: }Automatically testing changes to code is an essential feature of continuous integration. For open-source code, without licensed dependencies, a variety of continuous integration services exist. The COnstraint-Based Reconstruction and Analysis (COBRA) Toolbox is a sui...
{ "timestamp": "2017-12-15T02:08:15", "yymm": "1712", "arxiv_id": "1712.05236", "language": "en", "url": "https://arxiv.org/abs/1712.05236" }
\section{Introduction} The Dark Matter Particle Explorer (DAMPE) experiment recently published the energy spectrum of electrons and positions from about $10\ensuremath{\,\text{GeV}}$ to about $4\ensuremath{\,\text{TeV}}$\cite{Ambrosi:2017wek}. The spectrum, by eye, contained two interesting features: a break at about ...
{ "timestamp": "2017-12-15T02:03:30", "yymm": "1712", "arxiv_id": "1712.05089", "language": "en", "url": "https://arxiv.org/abs/1712.05089" }
\section{Introduction}\label{sec:intro} The activated random walk model (ARW) is a system of interacting particles on a graph $G=(V,E)$. Together with Abelian and Stochastic Sandpiles, it belongs to a class of systems which have been introduced in order to study a physical phenomenon known as self-organized criticali...
{ "timestamp": "2018-11-20T02:18:27", "yymm": "1712", "arxiv_id": "1712.05292", "language": "en", "url": "https://arxiv.org/abs/1712.05292" }
\section{Introduction} \label{sec:Intro} \kevin{Kevin: please add any further appropriate references either to your own or other people's work - thanks!} Over a period of some years, a framework has been developed for gauge theory which allows continuum computations without fixing the gauge. This is achieved by utili...
{ "timestamp": "2017-12-15T02:01:36", "yymm": "1712", "arxiv_id": "1712.05011", "language": "en", "url": "https://arxiv.org/abs/1712.05011" }
\section{Introduction} Entanglement is one of the most significant features of quantum physics, and plays an important role in understanding quantum many-body physics, quantum field theory, quantum information as well as quantum gravity. In quantum field theory, the entanglement entropy (EE) measures the entanglement ...
{ "timestamp": "2018-04-30T02:04:53", "yymm": "1712", "arxiv_id": "1712.05131", "language": "en", "url": "https://arxiv.org/abs/1712.05131" }
\section{\uppercase{Introduction}} \label{sec:Intro} \PARstart{M}{obile} network operators are experiencing a significant traffic demand increase because of the emergence of bandwidth-consuming applications, such as video streaming over new-generation mobile devices \cite{CiscoWhitePaper}. \emph{Long Term Evolution - A...
{ "timestamp": "2017-12-15T02:06:13", "yymm": "1712", "arxiv_id": "1712.05156", "language": "en", "url": "https://arxiv.org/abs/1712.05156" }
\section{Introduction}In this short note we discuss compactness results for K\"ahler metrics in a fixed K\"ahler class, under geometric assumptions. Convergence and compactness of K\"ahler metrics has many special properties compared with the convergence of Riemannian metrics in general. We fix a compact K\"ahler ma...
{ "timestamp": "2017-12-15T02:03:50", "yymm": "1712", "arxiv_id": "1712.05095", "language": "en", "url": "https://arxiv.org/abs/1712.05095" }
\section{Introduction} In 2008 A. Premet and H. Strade~\cite{PrStr-VI} completed the classification of finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $\neq 2,3$. As a result, the Block--Wilson--Premet--Strade classification theorem~\cite{Strade-bookII} establishes that...
{ "timestamp": "2018-10-02T02:25:41", "yymm": "1712", "arxiv_id": "1712.05288", "language": "en", "url": "https://arxiv.org/abs/1712.05288" }
\section{Introduction} \label{sec:intro} We consider the evolution of a scalar quantity $u: \mathbb{R}\times (0,\infty) \to U\subset\mathbb{R}$, $(x,t) \mapsto u(x,t)$, which is governed by the Cauchy problem \begin{align} \sdiff{u}{t} + \sdiff{}{x} f(u) &= \RieszFeller u &&\text{for } (x,t)\in\mathbb...
{ "timestamp": "2017-12-15T02:07:09", "yymm": "1712", "arxiv_id": "1712.05199", "language": "en", "url": "https://arxiv.org/abs/1712.05199" }
\section{Introduction}\label{Intro} Be stars as a group are among the most rapidly rotating stars, both in terms of their spin angular velocity rate ($\Omega_{\rm eq}/\Omega_{\rm crit}$) and their equatorial velocity ($V_{\rm eq}$). The defining observed characteristics of these main-sequence (MS), intermediate-mass ...
{ "timestamp": "2017-12-15T02:07:26", "yymm": "1712", "arxiv_id": "1712.05209", "language": "en", "url": "https://arxiv.org/abs/1712.05209" }
\section{Introduction} There is a wide variety of quantum fluids with internal degrees of freedom, such as superfluid $^3$He~\cite{Vollhardt}, $p$-wave and $d$-wave superconductors~\cite{Norman}, possible superfluids in neutron stars~\cite{Hoffberg,Tama}, and spinor Bose-Einstein condensates (BECs) of atomic gas...
{ "timestamp": "2017-12-15T02:04:17", "yymm": "1712", "arxiv_id": "1712.05111", "language": "en", "url": "https://arxiv.org/abs/1712.05111" }
\section{Introduction} \label{intro} Fragmentation in molecular clouds has been well studied over many years \citep{Larson78,Miyama84,Monaghan91,Rodriguez05,Contreras16,Li17}. Fragmentation is a process that produces "fragments" or structures in a molecular cloud. A hierarchy of nested structures is often created by ...
{ "timestamp": "2017-12-15T02:00:28", "yymm": "1712", "arxiv_id": "1712.04960", "language": "en", "url": "https://arxiv.org/abs/1712.04960" }
\section*{Preliminary outline} \section{Introduction} \label{sec:intro} General relativity (GR) can be considered among the most successful physical theories. It predicts with formidable accuracy the revolution period of binary pulsar systems \cite{WTF81,TaW82,TaW89,WNT10}, and more importantly, it is still getting...
{ "timestamp": "2018-01-09T02:17:03", "yymm": "1712", "arxiv_id": "1712.05062", "language": "en", "url": "https://arxiv.org/abs/1712.05062" }
\section{Introduction}\label{CH1:Introduction} The support for Internet of Things (IoT) plays a major role in the evolution of wireless/cellular systems, including the upcoming 5G communication systems~\cite{Palattella2016JSAC}. There are two general classes of IoT transmission technologies: (1) Low-power wide-area (LP...
{ "timestamp": "2017-12-15T02:05:12", "yymm": "1712", "arxiv_id": "1712.05133", "language": "en", "url": "https://arxiv.org/abs/1712.05133" }
\section{Introduction} \subsection{History} Motivated by arithmetic considerations, there has recently been much work in the setting of functional transcendence, and specifically on generalizations of the famous Ax--Schanuel theorem on the exponential function to the context of hyperbolic uniformizations. Indeed, the...
{ "timestamp": "2017-12-15T02:03:30", "yymm": "1712", "arxiv_id": "1712.05088", "language": "en", "url": "https://arxiv.org/abs/1712.05088" }
\section{Introduction} Despite all the phenomenological success of the Standard Model (SM), certain theoretical and experimental issues like neutrino masses, dark matter, charge quantization, hierarchy problem etc. seem to indicate the need to go beyond its well-established framework. The ultraviolet completions motiv...
{ "timestamp": "2017-12-15T02:08:31", "yymm": "1712", "arxiv_id": "1712.05246", "language": "en", "url": "https://arxiv.org/abs/1712.05246" }
\section{Introduction}\label{introduction} The discussion of apparent paradoxes in physical theories have proven to be powerful means of elucidating key theoretical concepts, and Einstein's relativity is no exception. While there has been significant focus upon the `twin paradox' and `barn-and-pole paradox', both occ...
{ "timestamp": "2017-12-15T02:09:07", "yymm": "1712", "arxiv_id": "1712.05276", "language": "en", "url": "https://arxiv.org/abs/1712.05276" }
\section{Introduction}\label{sec:introduction}} \else \section{Introduction} \label{sec:introduction} \fi \IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file'' for IEEE Computer Society journal papers produced under \LaTeX\ using IEEEtran.cls version 1.8b and later. I wish you the best of succe...
{ "timestamp": "2018-09-03T02:11:24", "yymm": "1712", "arxiv_id": "1712.05277", "language": "en", "url": "https://arxiv.org/abs/1712.05277" }
\section{Introduction} Multiple quantum enhanced algorithms have been proposed to speed up certain machine learning tasks \cite{2017Natur.549..195B} and existing quantum processors have now reached intermediate sizes. The vast majority of quantum enhanced algorithms were developed for fault-tolerant quantum computin...
{ "timestamp": "2019-08-13T02:07:05", "yymm": "1712", "arxiv_id": "1712.05304", "language": "en", "url": "https://arxiv.org/abs/1712.05304" }
\section{Introduction} Markov Chain Monte Carlo (MCMC), based on the Metropolis-Hastings class of algorithms \citep{metropolis_etal53,hastings70}, has enjoyed great success in a wide range of fields from astrophysics and physics \citep[see, e.g.,][for a review]{sharma17} to biology, medicine, and statistics \citep[e....
{ "timestamp": "2017-12-15T02:01:56", "yymm": "1712", "arxiv_id": "1712.05024", "language": "en", "url": "https://arxiv.org/abs/1712.05024" }
\section{Introduction}\label{sec:introduction} Visual object tracking is one of the fundamental problems in computer vision with a variety of real-world applications, such as video surveillance and robotics. Although having achieved substantial progress during past decade, it is still difficult to deal with the challe...
{ "timestamp": "2018-11-08T02:08:58", "yymm": "1712", "arxiv_id": "1712.05231", "language": "en", "url": "https://arxiv.org/abs/1712.05231" }
\section{Introduction}\label{intro} Light propagation in complex and random media is a very general problem in many disciplines of science and engineering, such as radiative heat transfer \cite{tien1987thermal,modest2013radiative}, optics and photonics \cite{wiersma2013disordered,Rotter2017}, astrophysics and remote se...
{ "timestamp": "2017-12-15T02:04:00", "yymm": "1712", "arxiv_id": "1712.05102", "language": "en", "url": "https://arxiv.org/abs/1712.05102" }
\section{Introduction} Recent advances in \ac{ML} have paved the way for implementing systems that compute compact and fixed-size embeddings of music data \cite{hu2014,wang2015,choi2017,lee2017a,lee2017b,park2017}. The design of these systems is usually motivated by the pursuit of automatic inference of music semantic...
{ "timestamp": "2017-12-18T02:08:14", "yymm": "1712", "arxiv_id": "1712.05197", "language": "en", "url": "https://arxiv.org/abs/1712.05197" }
\section{Introduction} \label{sec:intro} \subsection{Motivation} Measuring the dissimilarities of objects is of a particular importance in many areas of mathematics and mathematical physics. From our viewpoint, the most important area with the above property is the field of classical and quantum information theory....
{ "timestamp": "2018-03-09T02:06:41", "yymm": "1712", "arxiv_id": "1712.05324", "language": "en", "url": "https://arxiv.org/abs/1712.05324" }