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\section{Measuring work} \label{Measuring work} Consider a closed system that does not interact with its surroundings, so that no heat can be added to the system, described by the Hilbert space $\mathcal{H}_S$. In accordance with the first law, the work done on the system by a time-dependent Hamiltonian $H_S(t)$ betwe...
{ "timestamp": "2021-12-01T02:26:30", "yymm": "2111", "arxiv_id": "2111.15470", "language": "en", "url": "https://arxiv.org/abs/2111.15470" }
\section{Introduction} Image registration (IR) is required in a large variety of medical imaging studies involving tasks such as inter-subject comparison \cite{Ardekani2005}, patient follow-up \cite{Brock2006}, modality fusion \cite{Heinrich2013}, atlas generation \cite{Lorenzen2006}, or more recently cross-modality i...
{ "timestamp": "2021-12-01T02:27:49", "yymm": "2111", "arxiv_id": "2111.15509", "language": "en", "url": "https://arxiv.org/abs/2111.15509" }
\section{Introduction} \IEEEPARstart{I}{n} recent years, convolutional neural networks have achieved great success in image classification \cite{10.1145/3065386}, semantic segmentation \cite{7298965}, face recognition \cite{electronics9081188}, target tracking \cite{7780834} and target detection \cite{ZAFEIRIOU20151}. ...
{ "timestamp": "2021-12-01T02:25:37", "yymm": "2111", "arxiv_id": "2111.15449", "language": "en", "url": "https://arxiv.org/abs/2111.15449" }
\section{Introduction} \label{Intro} Drought is one of the most widespread and frequent natural disasters in the world, with profound economic, social, and environmental impacts~\citep{keyantash2002quantification}. Unlike other natural hazards, droughts are a gradual process, often have a long duration, cumulative imp...
{ "timestamp": "2021-12-01T02:25:38", "yymm": "2111", "arxiv_id": "2111.15452", "language": "en", "url": "https://arxiv.org/abs/2111.15452" }
\section{} \label{} \section{} \label{} \section{Introduction} \file{elsarticle.cls} is a thoroughly re-written document class for formatting \LaTeX{} submissions to Elsevier journals. The class uses the environments and commands defined in \LaTeX{} kernel without any change in the signature so that clas...
{ "timestamp": "2021-12-01T02:27:11", "yymm": "2111", "arxiv_id": "2111.15496", "language": "en", "url": "https://arxiv.org/abs/2111.15496" }
\section{Background and Considerations} \label{sec:background} In this section, we revise several considerations made in this paper and the concepts behind each one. \subsection{Video Analytics Systems} Video analytics applications can be divided into \textit{online} and \textit{offline} video analytics, depending on...
{ "timestamp": "2021-12-01T02:25:38", "yymm": "2111", "arxiv_id": "2111.15451", "language": "en", "url": "https://arxiv.org/abs/2111.15451" }
\section{Introduction} \noindent As a decentralized and distributed public ledger, blockchain technology~\cite{2017The} has enjoyed great success in various fields, \emph{e.g.}, finance, technology, and culture~\cite{2017The}. Cryptocurrency~\cite{wood2014ethereum,yuan2018blockchain}, undoubtedly, is one of the most pr...
{ "timestamp": "2021-12-01T02:25:34", "yymm": "2111", "arxiv_id": "2111.15446", "language": "en", "url": "https://arxiv.org/abs/2111.15446" }
\section{Introduction} Over the last few decades, control of the discretisation error generated by the numerical approximation of partial differential equations (PDEs) has witnessed significant advances due to contributions in \textit{a posteriori} errror analysis and the use of adaptive mesh refinement techniques. Suc...
{ "timestamp": "2021-12-01T02:27:36", "yymm": "2111", "arxiv_id": "2111.15504", "language": "en", "url": "https://arxiv.org/abs/2111.15504" }
\section{Introduction} Modern explorations of possible mission scenarios to the Ice Giants Uranus and Neptune \cite{Fletcher2020, Hofstadter2019, Simon2020, Masters2014} have motivated a revision of what we know about these planets and their planetary systems. Recent reviews explore their atmospheric dynamics \cite{H...
{ "timestamp": "2021-12-01T02:27:07", "yymm": "2111", "arxiv_id": "2111.15494", "language": "en", "url": "https://arxiv.org/abs/2111.15494" }
\section{Introduction} Rational extended thermodynamics (RET) is a theory applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by an hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchie...
{ "timestamp": "2021-12-01T02:27:02", "yymm": "2111", "arxiv_id": "2111.15492", "language": "en", "url": "https://arxiv.org/abs/2111.15492" }
\section{Introduction} Since the advent of scientific communities, there has been a high demand in the area of collaboration recommendations. Due to the complex nature of interconnections between researchers, this domain has not reached a successful automation for a long time. According to the underlying graph struct...
{ "timestamp": "2021-12-01T02:26:28", "yymm": "2111", "arxiv_id": "2111.15466", "language": "en", "url": "https://arxiv.org/abs/2111.15466" }
\section{Introduction} The cars people are driving at present are complicated cyber-physical systems involving tight interaction between rapidly evolving car technologies and their human users, the drivers. To meet the needs and preferences of (at least) drivers, the infotainment system is more and more integrated wit...
{ "timestamp": "2021-12-01T02:26:28", "yymm": "2111", "arxiv_id": "2111.15467", "language": "en", "url": "https://arxiv.org/abs/2111.15467" }
\section{Introduction} In this paper, we consider the three-dimensional incompressible Navier-Stokes equations \begin{equation}\label{NSintro} \partial_{t}v-\Delta v+v\cdot\nabla v+\nabla p=0,\,\,\,\nabla\cdot v=0,\,\,\,v(\cdot,0)=v_{0}(x)\,\,\,\textrm{in}\,\,\,\mathbb{R}^3\times (0,T). \end{equation} Here, $T\in (0,\i...
{ "timestamp": "2021-12-01T02:25:33", "yymm": "2111", "arxiv_id": "2111.15444", "language": "en", "url": "https://arxiv.org/abs/2111.15444" }
\section{introduction} The fractional quantum Hall effect~\cite{Tsui} (FQHE) occurs in two-dimensional electron systems in a strong perpendicular field and is characterized notably by a gap for all charged excitations at some fractional filling $\nu$ of the Landau levels. Such gaps are due to electron-electron Coulomb...
{ "timestamp": "2021-12-01T02:25:38", "yymm": "2111", "arxiv_id": "2111.15453", "language": "en", "url": "https://arxiv.org/abs/2111.15453" }
\section{Introduction} A first principles understanding of bound states of a heavy quark and anti-quark pair (quarkonia) hold the key to probing the existence and properties of the quark gluon plasma (QGP) in heavy-ion collisions (HIC). Lattice QCD has made vital contributions to estimating the properties of quarkonium...
{ "timestamp": "2021-12-01T02:25:14", "yymm": "2111", "arxiv_id": "2111.15437", "language": "en", "url": "https://arxiv.org/abs/2111.15437" }
\section{Preliminaries} \label{sec:preliminaries} In the remainder of the paper, we will assume that $M$ is complete and that the eigenvalues of the Ricci tensor are constants $(\lambda, \lambda, 0)$ with $\lambda = \pm 1$ unless otherwise stated. Since the eigenvalues of the Ricci tensor determine the curvature tens...
{ "timestamp": "2021-12-01T02:27:12", "yymm": "2111", "arxiv_id": "2111.15499", "language": "en", "url": "https://arxiv.org/abs/2111.15499" }
\section{Answers to Referee \#1} \begin{enumerate} \item `` {\it The authors recognized the importance of inverse problems in nano science, and with this work they certainly contribute to expanding knowledge about linking structure and property, in this case resolving the role of the concentration of impurities in ...
{ "timestamp": "2021-12-01T02:25:28", "yymm": "2111", "arxiv_id": "2111.15441", "language": "en", "url": "https://arxiv.org/abs/2111.15441" }
\section{Introduction} In this paper we propose and analyse a novel numerical approximation of the following moving boundary problem. Let $\Omega\subset{\mathbb R}^d$, $d\geq2$, be a domain with a Lipschitz boundary $\partial\Omega$ and outer unit normal $\vec\nu_{\Omega}$. Given the hypersurface $\Gamma(0) \subset \...
{ "timestamp": "2021-12-01T02:24:35", "yymm": "2111", "arxiv_id": "2111.15418", "language": "en", "url": "https://arxiv.org/abs/2111.15418" }
\section{Introduction} The Su-Schrieffer-Heeger (SSH) model~\cite{PhysRevLett.42.1698, PhysRevB.22.2099} is a one-dimensional (1D) tight-binding model of a fermion chain with a certain degree of a dimerization, i.e., with alternating hopping amplitudes. It was applied initially for a description of topological excita...
{ "timestamp": "2021-12-01T02:27:13", "yymm": "2111", "arxiv_id": "2111.15500", "language": "en", "url": "https://arxiv.org/abs/2111.15500" }
\section{Introduction} In real-world settings, it is crucial to robustly perform classification and OoD detection with high levels of confidence. The problem of detecting whether a sample is in-distribution, from the training distribution, or OoD is critical for adversarial attacks. This is crucial nowadays in many ap...
{ "timestamp": "2021-12-01T02:26:45", "yymm": "2111", "arxiv_id": "2111.15487", "language": "en", "url": "https://arxiv.org/abs/2111.15487" }
\section{Introduction} The use of data analytics is growing, as it plays a crucial role in making decisions and identifying social and economical strategies. Not all data, however, are equally useful, and the availability of accurate data is crucial for obtaining high-quality analytics. In line with this trend, ...
{ "timestamp": "2021-12-01T02:24:33", "yymm": "2111", "arxiv_id": "2111.15415", "language": "en", "url": "https://arxiv.org/abs/2111.15415" }
\section{Introduction} \label{intro} Swarm intelligence has shed light to collective behavior of autonomous entities with simple rules, such as ant, boid, and particles. The notion is applied to a collection of robots and swarm robotics has attracted much attention in the past two decades. Each autonomous element...
{ "timestamp": "2021-12-01T02:26:42", "yymm": "2111", "arxiv_id": "2111.15480", "language": "en", "url": "https://arxiv.org/abs/2111.15480" }
\section{Introduction} \label{sec:introduction} Time of Flight (ToF) cameras are devices that are able to capture depth information of a scene by measuring the time the light emitted by the device needs to travel back once intersecting with an object. In practice, timing the reception of a light impulse requires prec...
{ "timestamp": "2021-12-01T02:28:09", "yymm": "2111", "arxiv_id": "2111.15513", "language": "en", "url": "https://arxiv.org/abs/2111.15513" }
\section{Introduction and history} This manuscript was written during the summer of 1997 while the author worked as a research assistant in Prof. Juhani Karhum\"aki's project. The task for the summer was to read and verify in details the proof of undecidability of the equivalence problem for finite substitutions on r...
{ "timestamp": "2021-12-01T02:24:41", "yymm": "2111", "arxiv_id": "2111.15420", "language": "en", "url": "https://arxiv.org/abs/2111.15420" }
\section{Introduction}\label{sec:intro} The IoT loosely refers to any interconnected devices used to monitor and control information in order to deliver services to remote users. Examples of such devices are countless, including for example smart plugs and lights, coffee makers and heating systems. The list is growing...
{ "timestamp": "2021-12-01T02:26:29", "yymm": "2111", "arxiv_id": "2111.15468", "language": "en", "url": "https://arxiv.org/abs/2111.15468" }
\section{Introduction} \label{sec:intro} Semantic segmentation in urban scenes is an important technology for many vision-based applications. Current studies~\cite{fcn,unet,seg1,seg2,seg3,seg4} on semantic segmentation mainly focused on designing complex segmentation networks with higher segmentation capacities on...
{ "timestamp": "2021-12-01T02:26:26", "yymm": "2111", "arxiv_id": "2111.15463", "language": "en", "url": "https://arxiv.org/abs/2111.15463" }
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{G}{raph} representation learning aims to pursue a meaningful vector representation of each node so as to facilitate downstream applications such as node classification, link prediction, \textit{etc}. Traditional methods are developed based on graph stati...
{ "timestamp": "2021-12-01T02:24:45", "yymm": "2111", "arxiv_id": "2111.15422", "language": "en", "url": "https://arxiv.org/abs/2111.15422" }
\section{Introduction} \label{sec:intro} One of the fundamental problems in machine learning is to learn a proper low-dimensional representation efficiently that captures the intrinsic structures of data and facilitates downstream tasks~\cite{bengio2013representation, devlin2018bert, korbar2018cooperative, icml2020sim...
{ "timestamp": "2021-12-01T02:25:40", "yymm": "2111", "arxiv_id": "2111.15454", "language": "en", "url": "https://arxiv.org/abs/2111.15454" }
\section{introduction} The experimental system consists of a layer of liquid helium with a 2D sheet of electrons above its surface. The surface electrons (SEs) and liquid helium are sandwiched between electrodes forming a parallel-plate capacitor (see Fig 1 of main paper). An electric field $E_{\perp}$ is created perp...
{ "timestamp": "2021-12-01T02:26:20", "yymm": "2111", "arxiv_id": "2111.15462", "language": "en", "url": "https://arxiv.org/abs/2111.15462" }
\section{Introduction} Radio frequency (RF) spike noise in magnetic resonance imaging (MRI) typically manifests as bursts of high-amplitude corruptions in the Fourier domain ({$k$-space}) that lead to Moir\'e patterns in the reconstructed image. Spikes originate from brief disruptions in the electromagnetic field nea...
{ "timestamp": "2021-12-01T02:26:32", "yymm": "2111", "arxiv_id": "2111.15471", "language": "en", "url": "https://arxiv.org/abs/2111.15471" }
\section{Introduction} Automatic differentiation (AD) refers to a family of techniques for mechanically computing derivatives of user-defined functions. When applied to straight-line programs built from differentiable primitives (without \texttt{if} statements, loops, and other control flow), AD has a straightforward...
{ "timestamp": "2021-12-01T02:25:53", "yymm": "2111", "arxiv_id": "2111.15456", "language": "en", "url": "https://arxiv.org/abs/2111.15456" }
\section{Introduction and the main theorem} \noindent Let $\mathcal{G}$ be the Lie group $SU(n,\mathbb{C})$ (the group of unitary matrices of determinant 1) and $g$ its Lie algebra $su(n,\mathbb{C})$ (the algebra of trace-free skew hermitian matrices) with Lie bracket $[X,Y] = XY-YX$ (the matrix commutator). For...
{ "timestamp": "2021-12-01T02:27:55", "yymm": "2111", "arxiv_id": "2111.15511", "language": "en", "url": "https://arxiv.org/abs/2111.15511" }
\section{Introduction} Several publications have shown that Face Recognition Systems (FRSs) and humans are vulnerable to \textit{morphing attacks}. A morph is an image that contains identity information from the faces of two different individuals. When such a morphed image is compared to an image of either contributing...
{ "timestamp": "2021-12-01T02:24:34", "yymm": "2111", "arxiv_id": "2111.15416", "language": "en", "url": "https://arxiv.org/abs/2111.15416" }
\section{Introduction} A {\em map M} is an embedding of a graph {\em G} on a surface {\em S} such that the closure of components of $S \setminus G$, called the {\em faces} of $M$, are homeomorphic to $2$-discs. A map $M$ is said to be a {\em polyhedral map} if the intersection of any two distinct faces is either empty...
{ "timestamp": "2021-12-01T02:26:44", "yymm": "2111", "arxiv_id": "2111.15484", "language": "en", "url": "https://arxiv.org/abs/2111.15484" }
\section{Introduction} \label{sec1} On a probability space $(\Omega, \mathcal{F}, \mathbb{P})$, suppose $f_1, f_2, \cdots \,$ are independent measurable functions with the same distribution, and integrable: $\mathbb E ( | f_1|) < \infty\,$. The renowned \textsc{Kolmogorov} strong law of large numbers (\cite{Chu...
{ "timestamp": "2021-12-01T02:26:29", "yymm": "2111", "arxiv_id": "2111.15469", "language": "en", "url": "https://arxiv.org/abs/2111.15469" }
\section{Introduction} \label{sec:introduction} Deep Neural Network (DNN) achieves state-of-the-art results in a wide range of areas and has various applications across industries, including self driving cars \cite{rao2018deep}, virtual assistants \cite{rawassizadeh2019manifestation}, intelligent healthcare \cite{miot...
{ "timestamp": "2021-12-01T02:24:33", "yymm": "2111", "arxiv_id": "2111.15414", "language": "en", "url": "https://arxiv.org/abs/2111.15414" }
\section{History of k-nearest neighbor search, problem statement and overview of results} \label{sec:intro} \begin{figure} \centering \input images/cover-tree.txt \hspace{1.5cm} \input images/explicit_cover_tree.tex \caption{\textbf{Left:} an implicit form of a cover tree defined i...
{ "timestamp": "2021-12-01T02:26:39", "yymm": "2111", "arxiv_id": "2111.15478", "language": "en", "url": "https://arxiv.org/abs/2111.15478" }
\section{Introduction} Named Entity Recognition (NER) is the task of locating and classifying named entities in a given piece of text into pre-defined entity categories such as Person (PER), Location (LOC), Organisation (ORG), etc. NER is considered an essential preprocessing step that can benefit many downstream appl...
{ "timestamp": "2021-12-01T02:25:13", "yymm": "2111", "arxiv_id": "2111.15436", "language": "en", "url": "https://arxiv.org/abs/2111.15436" }
\section*{Abstract} {\bf The sensitivity of particle-level fiducial cross section measurements from ATLAS, CMS and LHCb to a leptophobic top-colour model is studied. The model has previously been the subject of resonance searches. Here we compare it directly to state-of-the-art predictions for Standard Model top quark ...
{ "timestamp": "2021-12-01T02:24:07", "yymm": "2111", "arxiv_id": "2111.15406", "language": "en", "url": "https://arxiv.org/abs/2111.15406" }
\section{Introduction: extending the domain of the Fourier transform} Fourier transform (FT) and generalized functions (GF) are naturally interwoven, since the former naturally leads to suitable spaces of the latter. This already occurs even in trivial cases, such as transforming a simple sound wave $f(t)=A\sin(2\pi\o...
{ "timestamp": "2021-12-01T02:24:15", "yymm": "2111", "arxiv_id": "2111.15408", "language": "en", "url": "https://arxiv.org/abs/2111.15408" }
\section{Introduction} The extraction of vector representations of building polygons from aerial and satellite imagery has been growing in importance in many remote sensing applications, such as cartography, city modelling and reconstruction, as well as map generation. Most building extraction and polygonization metho...
{ "timestamp": "2021-12-01T02:26:53", "yymm": "2111", "arxiv_id": "2111.15491", "language": "en", "url": "https://arxiv.org/abs/2111.15491" }
\section*{Results} As a proof-of-concept, we provide a parallelized BHt-SNE, namely pt-SNE, where we apply the chunk\&mix protocol and a simplified parametric setup (see subsection~\nameref{sec:parametric_configuration} in Methods). Nevertheless, we want to highlight the generality of the concept, possibly suitable al...
{ "timestamp": "2021-12-03T02:25:47", "yymm": "2111", "arxiv_id": "2111.15506", "language": "en", "url": "https://arxiv.org/abs/2111.15506" }
\section{Introduction} \label{s:introduction} Cosmic rays are one of the major ingredients in the interstellar medium (ISM), their energy density being comparable to that of the gaseous phases. Hence, cosmic rays play a major role in shaping the formation and evolution of galaxies in the Universe. The physics of cosm...
{ "timestamp": "2021-12-01T02:25:19", "yymm": "2111", "arxiv_id": "2111.15439", "language": "en", "url": "https://arxiv.org/abs/2111.15439" }
\section*{Appendix \thesection\protect\indent \parbox[t]{11.15cm}{#1}} \addcontentsline{toc}{section}{Appendix \thesection\ \ \ #1}} \newcommand{\appwithlabel}[2]{\addtocounter{section}{1}\setcounter{equation}{0} \renewcommand{\thesection}{\Alph{section}} \section*{Appendix \thesection\protect\indent \parbox[t]{11.15cm...
{ "timestamp": "2021-12-01T02:24:05", "yymm": "2111", "arxiv_id": "2111.15405", "language": "en", "url": "https://arxiv.org/abs/2111.15405" }
\section{Introduction} Star formation is observed to occur in giant molecular clouds where the stars form in embedded groups \citep{lada_embedded_2003}. These embedded groups are often part of star-forming regions that have a range of different morphologies (i.e. smooth centrally concentrated spherical distributions or...
{ "timestamp": "2021-12-01T02:25:11", "yymm": "2111", "arxiv_id": "2111.15435", "language": "en", "url": "https://arxiv.org/abs/2111.15435" }
\section{Introduction} \label{sec:IntroductionSection} Image degradation by motion blur generally occurs due to movement during the capture process from the camera or capturing using lightweight devices such as mobile phones and low intensity during camera exposure. Blur in the images degrades the perceptual quality. F...
{ "timestamp": "2021-12-01T02:25:14", "yymm": "2111", "arxiv_id": "2111.15438", "language": "en", "url": "https://arxiv.org/abs/2111.15438" }
\section{Introduction} \label{sec:Introduction} \input{Latexfiles/Introduction.tex} \section{Model description} \label{sec:Model} \input{Latexfiles/Model.tex} \section{Initial concentrations} \label{sec:InitialConcentrations} \input{Latexfiles/InitialConcentrations.tex} \section{Results...
{ "timestamp": "2021-12-01T02:24:47", "yymm": "2111", "arxiv_id": "2111.15424", "language": "en", "url": "https://arxiv.org/abs/2111.15424" }
\section{Introduction} \label{intro} The Universal Dependencies (UD) resources have steadily grown over the years, and now treebanks for over 100 languages are available. The UD community has made a tremendous effort in providing a rich toolset for utilizing the treebanks for downstream applications, including pre-trai...
{ "timestamp": "2021-12-01T02:24:32", "yymm": "2111", "arxiv_id": "2111.15413", "language": "en", "url": "https://arxiv.org/abs/2111.15413" }
\section{Introduction} $(\alpha,n)$ reactions are a common feature of thermonuclear environments with a neutron excess. Temperatures near or above tens of megakelvin are sufficient for $\alpha$-particles to overcome the coulomb barrier and, for the neutron-rich nuclides in these environments, the $Q$-value for the neu...
{ "timestamp": "2021-12-01T02:26:34", "yymm": "2111", "arxiv_id": "2111.15472", "language": "en", "url": "https://arxiv.org/abs/2111.15472" }
\section{Introduction} Galaxy clusters are located at the peaks of the (dark) matter density field and, as they evolve, they accrete galaxies, galaxy groups, and other clusters from the cosmic web. Some of those merging events are among the most energetic and violent events in the Universe, releasing energies up ...
{ "timestamp": "2021-12-01T02:25:33", "yymm": "2111", "arxiv_id": "2111.15443", "language": "en", "url": "https://arxiv.org/abs/2111.15443" }
\section{Introduction} Channel modeling plays an important role in communication system design. For the traditional channel modeling process, channel measurement is an important approach to obtain data for channel characterization. However, the measurement-based channel modeling is facing various problems, especially ...
{ "timestamp": "2021-12-02T02:18:39", "yymm": "2111", "arxiv_id": "2111.15476", "language": "en", "url": "https://arxiv.org/abs/2111.15476" }
\section{Introduction} We are concerned with a mathematically novel and somewhat unusual combination of PDEs aiming to describe the dynamic interplay of magnetization structures and (collision-free) electric currents, which is essential for various spintronic applications. Magnetization structures are given in terms o...
{ "timestamp": "2021-12-01T02:26:43", "yymm": "2111", "arxiv_id": "2111.15482", "language": "en", "url": "https://arxiv.org/abs/2111.15482" }
\section{Introduction} We consider the following optimisation problem of servicing timed requests on the line. For a given integer $k \ge 1$ and a set of $n$ timed requests $\{(x_i,t_i,w_i), 1 \le i \le n\}$, where $x_i\in (-\infty, + \infty)$, $t_i \ge 0$ and $w_i \ge 0$ are the location (on the line), the time a...
{ "timestamp": "2021-12-01T02:25:09", "yymm": "2111", "arxiv_id": "2111.15434", "language": "en", "url": "https://arxiv.org/abs/2111.15434" }
\section{Introduction} Abstractive summarization has made significant strides since the introduction of the transformer based model in NLP~\cite{vaswani2017attention}. However, the quadratic computational and memory complexities of large transformers have limited their scalability for long document summarization as the...
{ "timestamp": "2021-12-01T02:26:34", "yymm": "2111", "arxiv_id": "2111.15473", "language": "en", "url": "https://arxiv.org/abs/2111.15473" }
\section{Introduction\label{sec:intro}} The standard cosmological model predicts that galaxies grow through a hierarchical process. The Milky Way is no exception and has been shown to have accreted a number of dwarf galaxies. There is indeed evidence for the ongoing accretion in the form of stellar streams from the S...
{ "timestamp": "2021-12-01T02:24:46", "yymm": "2111", "arxiv_id": "2111.15423", "language": "en", "url": "https://arxiv.org/abs/2111.15423" }
\section{Introduction} The meta-surfaces has been considered as one of key auxiliary devices in the future sixth generation (6G) wireless networks due to its substantial benefits, such as low-cost and low power consumption, communication coverage extension, and communication quality improvement \cite{2019arXiv190308925...
{ "timestamp": "2021-12-01T02:26:27", "yymm": "2111", "arxiv_id": "2111.15464", "language": "en", "url": "https://arxiv.org/abs/2111.15464" }
\section{Introduction} In the theory of semigroups on the Hilbert space $L^2$ generated by bilinear forms, there exists a well-known characterisation -- in terms of the gene\-rating forms -- of the situation when one semigroup dominates another one. It is a consequence of another characterisation, namely of the situat...
{ "timestamp": "2021-12-01T02:26:48", "yymm": "2111", "arxiv_id": "2111.15489", "language": "en", "url": "https://arxiv.org/abs/2111.15489" }
\section{Introduction} Developing powerful language representations technique has been a key area of research in Natural Language Processing (NLP). The employment of effective representational models has also been an essential contributor in improving the performance of many NLP systems. Word vectors or embeddings are ...
{ "timestamp": "2021-12-01T02:24:35", "yymm": "2111", "arxiv_id": "2111.15417", "language": "en", "url": "https://arxiv.org/abs/2111.15417" }
\section{Introduction} \input{introduction} \section{Isolation Forest Algorithm and Testing Datasets}\label{sec:isolation_forest} \input{isolationforest} \subsection{Real world datasets}\label{sec:datasets} \input{datasets} \section{Analysis of the \emph{standard} Isolation Forest algorithm}\label{sec:analysis} \i...
{ "timestamp": "2021-12-01T02:25:04", "yymm": "2111", "arxiv_id": "2111.15432", "language": "en", "url": "https://arxiv.org/abs/2111.15432" }
\section{Introduction and Summary} \label{sec:introduction} Wilson loops are universal gauge-invariant operators which were originally devised to characterize the vacuum of the given gauge theory \cite{Wilson:1974sk}. With the advent of AdS/CFT and localization, supersymmetric extensions of Wilson loops came to the ...
{ "timestamp": "2021-12-01T02:27:06", "yymm": "2111", "arxiv_id": "2111.15493", "language": "en", "url": "https://arxiv.org/abs/2111.15493" }
\section{Introduction}\label{sec:1} \noindent In this paper we always assume that $(M,\omega)$ are connected and tame symplectic manifolds (see~\cite{ALP}). Such manifolds include closed symplectic manifolds, open manifolds which are symplectically convex at infinity as well as products of such. Denote by $\mathcal{...
{ "timestamp": "2021-12-01T02:25:31", "yymm": "2111", "arxiv_id": "2111.15442", "language": "en", "url": "https://arxiv.org/abs/2111.15442" }
\section{Introduction} \label{introduction} \begin{figure}[t] \vspace{-1.0cm} \subfigure[Conceptual LED setup]{\includegraphics[width=0.49\textwidth]{pictures/setup_image.png}} \subfigure[Color space according to the \textbf{C}ommission \textbf{i}nternationale de l’\textbf{é}clairage (CIE-color space adopted from Ding ...
{ "timestamp": "2021-12-01T02:26:45", "yymm": "2111", "arxiv_id": "2111.15486", "language": "en", "url": "https://arxiv.org/abs/2111.15486" }
\subsubsection{#1}\indent\par} \section{\texorpdfstring{\sectionpadding{1.5 em}}{ } Literature: a rapid survey} \label{App:Literature} The present Appendix contains an outline of some literature related in various ways to the theory of homogeneous structures and some natural generalizations.\footnote{With relativel...
{ "timestamp": "2021-12-01T02:25:01", "yymm": "2111", "arxiv_id": "2111.15429", "language": "en", "url": "https://arxiv.org/abs/2111.15429" }
\section{Introduction} \label{sec:intro} The privacy paradox \cite{Barnes_2006} shows that humans can be on one side quite concerned about security and privacy in general but when it comes to their own behaviour they seem to ignore any caution and freely spread their private data into public cloud based social ne...
{ "timestamp": "2021-12-01T02:24:47", "yymm": "2111", "arxiv_id": "2111.15425", "language": "en", "url": "https://arxiv.org/abs/2111.15425" }
\section{Introduction} Let $p$ be a prime number and $k$ be an algebraically closed filed of characteristic $p$. A finite group $G$ is said to be a \textit{quasi} $p$-\textit{group} if $G$ is generated by all its Sylow $p$-subgroups. In \cite{Abh_57}, Abhyankar posed a conjecture stating that the quasi $p$-groups are p...
{ "timestamp": "2021-12-01T02:27:07", "yymm": "2111", "arxiv_id": "2111.15495", "language": "en", "url": "https://arxiv.org/abs/2111.15495" }
\section{Introduction} Recently, researchers have been using the weak gravity conjecture to study the inflation models as well as other cosmological implications. The weak gravity conjecture in the theories coupled with gravity actually describes an important issue that gravity should be the weakest force. In fact...
{ "timestamp": "2021-12-01T02:26:39", "yymm": "2111", "arxiv_id": "2111.15477", "language": "en", "url": "https://arxiv.org/abs/2111.15477" }
\section{Introduction} \label{sec:intro} At the epoch of recombination, matter and radiation separate, allowing radiation to stream freely in the Universe. This free-streaming radiation permeating the Universe, which we observe as the \textup{cosmic microwave background} (CMB) radiation, encodes a treasure trove of in...
{ "timestamp": "2021-12-01T02:24:55", "yymm": "2111", "arxiv_id": "2111.15427", "language": "en", "url": "https://arxiv.org/abs/2111.15427" }
\section{Introduction} \subsection{Main results} In classical Diophantine approximation, one wants to approximate an irrational number $\alpha$ by rationals $p/q$ for $p,q \in \mathbb{Z}$. Dirichlet theorem says that for every $N \in \mathbb{N}$, there exist $p,q \in \mathbb{Z}$ with $0<q<N$, such that $$|q\alpha-p|...
{ "timestamp": "2021-12-01T02:24:27", "yymm": "2111", "arxiv_id": "2111.15410", "language": "en", "url": "https://arxiv.org/abs/2111.15410" }
\section{Introduction} Video frame interpolation (VFI) has been extensively employed to deliver an improved user experience across a wide range of important applications. VFI increases the temporal resolution (frame rate) of a video through synthesizing intermediate frames between every two consecutive original frames...
{ "timestamp": "2021-12-01T02:26:44", "yymm": "2111", "arxiv_id": "2111.15483", "language": "en", "url": "https://arxiv.org/abs/2111.15483" }
\section{Introduction} The evasive nature of theorised dark matter particles has fuelled an almost century long search \citep{Zwicky_1937}, with a present goal of verifying the particle nature via direct detection experiments. These experiments conventionally assume that the local dark matter distribution can be chara...
{ "timestamp": "2021-12-01T02:25:23", "yymm": "2111", "arxiv_id": "2111.15440", "language": "en", "url": "https://arxiv.org/abs/2111.15440" }
\section{Introduction} Passivity is the backbone of linear circuit theory. As a system theoretic concept, it provides a fundamental bridge between physics and computation, well beyond electrical circuits. Passive linear systems are those that can be realized as port interconnections of passive elements \autocite{Bott1...
{ "timestamp": "2021-12-01T02:24:08", "yymm": "2111", "arxiv_id": "2111.15407", "language": "en", "url": "https://arxiv.org/abs/2111.15407" }
\subsubsection*{\bibname}} \usepackage{graphicx} \usepackage[pdftex, plainpages=false]{hyperref} \usepackage{amsmath, amssymb} \usepackage{float} \usepackage{xcolor} \usepackage{tikz} \newcommand{\antti}[1]{{{\color{blue} [Antti: #1]}}} \newcommand{\vitoria}[1]{{{\color{violet} [Vitoria: #1]}}} \newcommand{\aapo}[1...
{ "timestamp": "2021-12-01T02:25:04", "yymm": "2111", "arxiv_id": "2111.15431", "language": "en", "url": "https://arxiv.org/abs/2111.15431" }
\section{Introduction} The new generation of extragalactic imaging surveys of galaxies, such as Euclid \citep{euclid_survey} or LSST \citep{lsst}, will deliver an unprecedented volume of data. These new surveys also imply more demanding scientific requirements which are translated into new challenges from the data anal...
{ "timestamp": "2021-12-01T02:25:52", "yymm": "2111", "arxiv_id": "2111.15455", "language": "en", "url": "https://arxiv.org/abs/2111.15455" }
\section{} The twistor space of a hypercomplex or a hyperk\"ahler manifold $M$ is a complex manifold $Z$ equipped with a holomorphic submersion $\pi:Z\to \oP^1$ and an antiholomorphic involution $\sigma$ covering the antipodal map. The manifold $M$ is then recovered as (a component of) the Kodaira moduli space of $\...
{ "timestamp": "2021-12-01T02:25:53", "yymm": "2111", "arxiv_id": "2111.15457", "language": "en", "url": "https://arxiv.org/abs/2111.15457" }
\section{Introduction} We will use the following hypotheses and notations throughout the paper: \[\mathbb{N} \triangleq \left\{ {1, 2, \ldots, m, \ldots } \right\},~\mathbb{Z} \triangleq \left\{ {0, \pm 1, \ldots, \pm m, \ldots } \right\},\] \[\mathbb{R} \triangleq \left( { - \infty ,\infty } \right),~\left( {{a_1}, {...
{ "timestamp": "2021-12-03T02:14:14", "yymm": "2111", "arxiv_id": "2111.15465", "language": "en", "url": "https://arxiv.org/abs/2111.15465" }
\section{introduction} Particles with a macroscopic decay length, ranging from a few {centimeters} to several hundred meters and beyond, can be classified as long-lived particles (LLPs) at the large hadron collider (LHC). Such LLPs are endemic in new physics models beyond the standard model (SM); see e.g.\ \c...
{ "timestamp": "2021-12-01T02:27:35", "yymm": "2111", "arxiv_id": "2111.15503", "language": "en", "url": "https://arxiv.org/abs/2111.15503" }
\section{INTRODUCTION} We study systems of linear ordinary differential equations of Schr{\"o}dinger type \begin{equation} \label{eq0} \psi'(t) = -\,\mathrm{i}\,H(t)\,\psi(t)=:A(t)\psi(t)\,, \qquad t \in [t_0, t_{\mathrm{end}}]\,, \qquad \psi(t_0) = \psi_0\; \mbox{ given}\,, \end{equation} with a time-dependent Hermiti...
{ "timestamp": "2021-12-01T02:27:43", "yymm": "2111", "arxiv_id": "2111.15505", "language": "en", "url": "https://arxiv.org/abs/2111.15505" }
\section{Introduction}\label{sec:I} The behavior of charged quantum particles inside a uniform magnetic field in \linebreak \mbox{Minkowski spacetime} displays quantized energy levels ---\,the so-called Landau levels\,--- that were first derived by Rabi based on the relativistic Dirac equation \cite{Rabi} and by Landau...
{ "timestamp": "2021-12-01T02:25:34", "yymm": "2111", "arxiv_id": "2111.15448", "language": "en", "url": "https://arxiv.org/abs/2111.15448" }
\section{Introduction} \label{sec:intro} With the advent of deep neural networks (DNNs), we have witnessed a dramatic performance improvement in a variety of computer vision and NLP tasks, across different applications, such as image classification \cite{krizhevsky2012imagenet} or semantic segmentation \cite{chen2017r...
{ "timestamp": "2021-12-01T02:25:03", "yymm": "2111", "arxiv_id": "2111.15430", "language": "en", "url": "https://arxiv.org/abs/2111.15430" }
\section{Introduction} \label{sec:intro} \input{floats/fig_eyecatch2} Depth estimation plays an important role in many computer vision and robotics applications, such as 3D modeling, augmented reality, navigation, or industrial inspection. Structured light (SL) systems estimate depth by actively projec...
{ "timestamp": "2021-12-01T02:27:52", "yymm": "2111", "arxiv_id": "2111.15510", "language": "en", "url": "https://arxiv.org/abs/2111.15510" }
\section{Introduction} For a field $\mathbf{F}$ and a positive integer $h$, we define linear forms \begin{eqnarray}\label{eq11} \varphi(x_1,\ldots,x_h)=c_1 x_1+\cdots+c_h x_h, \end{eqnarray} where $c_i\in \mathbf{F}$ for all $i\in\{1,\ldots,h\}$. Let $V$ be a vector space over the field $\mathbf{F}$. For every nonempty...
{ "timestamp": "2021-12-01T02:26:44", "yymm": "2111", "arxiv_id": "2111.15485", "language": "en", "url": "https://arxiv.org/abs/2111.15485" }
\section{Introduction} An essential goal of computational physical science is to reliably predict the relevant polymorphs and their relative stability, and consequently the thermodynamic behavior of a substance, with only knowledge of its chemical composition. This challenge largely persists even today after it was n...
{ "timestamp": "2021-12-01T02:24:36", "yymm": "2111", "arxiv_id": "2111.15419", "language": "en", "url": "https://arxiv.org/abs/2111.15419" }
\section{Introduction} \subsection{Modified Bakry-\'Emery Ricci curvatures} \ \ Let $(M,g)$ be an $n$-dimensional smooth complete Riemannian manifold with its volume measure $\mathfrak{m} :=\text{\rm vol}_g$ and $V$ a $C^1$-vector field. Throughout this paper, we assume that the manifold $M$ has no boundary and i...
{ "timestamp": "2021-12-01T02:27:47", "yymm": "2111", "arxiv_id": "2111.15508", "language": "en", "url": "https://arxiv.org/abs/2111.15508" }
\section*{Abstract} Rate-induced tipping, or simply R-tipping, occurs when time-variation of input parameters of a dynamical system interacts with system timescales to give genuine nonautonomous instabilities that cannot, in general, be understood in terms of autonomous bifurcations in the frozen system with a fixed...
{ "timestamp": "2021-12-01T02:27:12", "yymm": "2111", "arxiv_id": "2111.15497", "language": "en", "url": "https://arxiv.org/abs/2111.15497" }
\section{Introduction} Understanding how opinions are formed is as important as ever, as the spread of misinformation becomes more prevalent every day. Assume there is some new innovation being either good or bad that is introduced to a group of people who want to form their (binary) opinion about it. Following a key ...
{ "timestamp": "2021-12-02T02:17:19", "yymm": "2111", "arxiv_id": "2111.15445", "language": "en", "url": "https://arxiv.org/abs/2111.15445" }
\section{Introduction} \label{sec:intro} Photo-realistic image synthesis via Generative Adversarial Networks is an important problem in computer vision and graphics. Specifically, synthesizing high-fidelity and editable portrait images has gained considerable attention in recent years. Two main classes of methods have ...
{ "timestamp": "2021-12-01T02:26:51", "yymm": "2111", "arxiv_id": "2111.15490", "language": "en", "url": "https://arxiv.org/abs/2111.15490" }
\section{Introduction}\label{sec:intro} How old is the universe? How distant are the cosmological objects that we detect with our telescopes? Our answers to these questions depend crucially on how accurately we can measure the current universe's expansion rate, i.e. the Hubble parameter $H_0$, since it sets both, the ...
{ "timestamp": "2021-12-01T02:25:37", "yymm": "2111", "arxiv_id": "2111.15450", "language": "en", "url": "https://arxiv.org/abs/2111.15450" }
\section{Introduction}\label{sec:introduction}} \end{document} \section{Design} \subsection{Problem Definition} \label{sec:problem solution} In this section, we formulate the joint server and data center network power optimization as a constrainted optimization problem using the switch power model and job model define...
{ "timestamp": "2021-12-01T02:27:29", "yymm": "2111", "arxiv_id": "2111.15502", "language": "en", "url": "https://arxiv.org/abs/2111.15502" }
\section*{Introduction}\label{sec:intro} Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets~\cite{hosmer2013applied}. It is often used in machine learning to identify important predictor variables~\cite{el2020compar...
{ "timestamp": "2021-12-01T02:24:48", "yymm": "2111", "arxiv_id": "2111.15426", "language": "en", "url": "https://arxiv.org/abs/2111.15426" }
\section{Introduction} The topological aspects of QCD play a pivotal role in many theoretical problems. Prominent examples include the explanation of the $\eta'$ meson mass~\cite{Witten:1979vv,Veneziano:1979ec} and (possible) solution to the strong CP problem leading to the prediction of a new particle, the QCD axion~...
{ "timestamp": "2021-12-01T02:24:42", "yymm": "2111", "arxiv_id": "2111.15421", "language": "en", "url": "https://arxiv.org/abs/2111.15421" }
\section{Details on the Models} \label{app:models} \subsection{The CKM Model and Parameters} \label{app:models:CKM} When evaluating low-energy observables within the \ac{SM}\xspace, the \ac{CKM}\xspace matrix elements are evaluated using the Wolfenstein parametrization~\cite{Wolfenstein:1983yz} expanded to order $\la...
{ "timestamp": "2021-12-01T02:24:56", "yymm": "2111", "arxiv_id": "2111.15428", "language": "en", "url": "https://arxiv.org/abs/2111.15428" }
\section{Introduction}\label{sec:intro} Theories of beyond standard model physics allow for the production of ultralight bosons that could constitute a portion or all of dark matter \cite{arvanitaki2015discovering}. If such ultralight bosons exist, they could appear around rotating black holes due to quantum fluctuat...
{ "timestamp": "2021-12-01T02:27:46", "yymm": "2111", "arxiv_id": "2111.15507", "language": "en", "url": "https://arxiv.org/abs/2111.15507" }
\section{Introduction} \label{sec:Intro} \vspace*{1mm} \noindent It is a general observation, that the Feynman parameter integrals for certain classes of topologies can be expressed in terms of higher transcendental functions of the hypergeometric type, cf.~e.g.~\cite{HAMBERG,Davydychev:2003mv, Bierenbaum:2007qe,Ka...
{ "timestamp": "2021-12-01T02:27:15", "yymm": "2111", "arxiv_id": "2111.15501", "language": "en", "url": "https://arxiv.org/abs/2111.15501" }
\section{Introduction} \paragraph{Outcome prediction from clinical notes.} The use of automatic systems in the medical domain is promising due to their potential exposure to large amounts of data from earlier patients. This data can include information that helps doctors make better decisions regarding diagnoses and t...
{ "timestamp": "2021-12-01T02:28:04", "yymm": "2111", "arxiv_id": "2111.15512", "language": "en", "url": "https://arxiv.org/abs/2111.15512" }
\section{Introduction} Pancreatic ductal adenocarcinoma (PDAC) is the most common form of pancreatic cancer, which has the worst prognosis of all cancer diseases worldwide with a 5-year relative survival rate of only 10.8\% \cite{Ryan2014PancreaticAdenocarcinoma, CancerStatFacts-PancreaticCancerAccessed19/11/2021}. ...
{ "timestamp": "2021-12-03T02:26:44", "yymm": "2111", "arxiv_id": "2111.15409", "language": "en", "url": "https://arxiv.org/abs/2111.15409" }
\section{Introduction} Painlev\'e equations may be formulated as Hamiltonian systems. This has led to an important role in the theory of such equations for concepts from classical mechanics and symplectic geometry, such as canonical coordinates, tau-functions, and moduli spaces of solutions with symplectic struc...
{ "timestamp": "2021-12-01T02:26:00", "yymm": "2111", "arxiv_id": "2111.15459", "language": "en", "url": "https://arxiv.org/abs/2111.15459" }
\section{Introduction} Dynamic linear elastic problems appear on many length scales. On the large scales we can find problems relating to earthquakes and other geophysics problems. On the small scales ($\mu$m to mm - scale), we can think of the application of various biomedical treatments with ultrasound or shockwaves...
{ "timestamp": "2021-12-01T02:26:02", "yymm": "2111", "arxiv_id": "2111.15460", "language": "en", "url": "https://arxiv.org/abs/2111.15460" }
\section{Introduction} \label{sec:intro} \noindent The heliosphere is created due to interaction between the solar wind and the magnetized, partly ionized interstellar gas surrounding the Sun. The neutral component, composed mostly of neutral hydrogen and further on referred to as interstellar neutral hydrogen (ISN H)...
{ "timestamp": "2021-12-01T02:24:29", "yymm": "2111", "arxiv_id": "2111.15412", "language": "en", "url": "https://arxiv.org/abs/2111.15412" }
\section{Introduction} Light has become one of the most powerful and versatile tools. It is an important medium for transporting information, either between communicating partners or from an object under investigation to a detector in imaging applications. Light also plays a key role in laser-based manufacturing proce...
{ "timestamp": "2021-12-01T02:26:05", "yymm": "2111", "arxiv_id": "2111.15461", "language": "en", "url": "https://arxiv.org/abs/2111.15461" }
\section{Introduction} The standard approach to determine scattering quantities from Lattice QCD is the Lüscher method~\cite{Luscher:1990ck}, which relates the finite-volume spectrum obtained from the lattice to the infinite-volume scattering amplitude. It has been applied to many physical systems, see Ref.~\cite{B...
{ "timestamp": "2021-12-01T02:25:34", "yymm": "2111", "arxiv_id": "2111.15447", "language": "en", "url": "https://arxiv.org/abs/2111.15447" }