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1,108,101,564,015
arxiv
\section{Introduction} A quantitative prediction of fluid flow, sound propagation, or chemical transport in strongly correlated disordered media, such as sedimentary rock, frequently employs representative microscopic models of the microstructure as input. A large number of microscopic models have been proposed over ...
1,108,101,564,016
arxiv
\section{\texorpdfstring{Introduction.}{Introduction}}\label{sec1} \subsection{\texorpdfstring{Variable, but predictable.}{Variable, but predictable}}\label{sec1.1} The notion of \emph{queues} has been used extensively as a powerful abstraction in studying dynamic resource allocation systems, where one aims to ma...
1,108,101,564,017
arxiv
\section{Introduction} Liquid ammonia is particularly well-known as a solvent which sustains long-lived solvated electrons formed by the dissolution of alkali metals~\cite{Zurek2009/10.1002/anie.200900373}. Recently, we used the flexible combination of refrigerated liquid microjet X-ray photoelectron spectroscopy~\cit...
1,108,101,564,018
arxiv
\section{Acknowledgments} We received funding from the TNO Appl.AI program, the province of North Brabant in the Netherlands and the SmartwayZ.NL program. We also want to thank Taoufik Bakri and Bachtijar Ashari for preparing our mobility datasets. \section{Introduction} Decision support systems based on machine lea...
1,108,101,564,019
arxiv
\section{Introduction} One of the important machine learning tasks is to compare pairs of objects, for example, pairs of images, pairs of data vectors, etc. There are a lot of approaches for solving the task. One of the approaches is based on computing a corresponding pairwise metric function which measures a dis...
1,108,101,564,020
arxiv
\section{Introduction} Intelligent Transportation Systems (ITSs) are envisioned to ameliorate traffic congestion and improve road safety and traffic experience. ITSs have drawn the attention of a large number of stakeholders due to their direct effect on the manufacturing of sensor and wireless-equipped vehicles...
1,108,101,564,021
arxiv
\section{Introduction} Phase field fracture \cite{bourdin_numerical_2000,ambati_review_2015,wu_chapter_2020} is a leading tool for investigating fracture in engineered \cite{roters_damask_2019,bui_review_2021}, geological \cite{wilson_phase-field_2016}, and biological materials \cite{shen_novel_2019}. By considering cr...
1,108,101,564,022
arxiv
\section{\label{sec:Intro}Introduction} Quantum random walks describe a walker, often a particle, that explores some state space using coherent wave-like dynamics. These non-classical dynamics allow the walker to propagate faster in structures with certain symmetries. Quantum walks have been shown to b...
1,108,101,564,023
arxiv
\section{Introduction.} A {\it Poisson structure} on a smooth algebraic variety $X$ is given by a bivector field $\omega\in H^0(X,{\wedge}^2 T_X)$, which satisfies the condition $$ [\omega, \omega]=0, \;\;\;\;\;\;\;\;\;\; (\star ) $$ where $[\; , \; ]$ denotes the Schouten bracket.\\ It is natural to consider the var...
1,108,101,564,024
arxiv
\section{Introduction} \label{intro} The thermodynamics of the confined phase of QCD is commonly modeled with the hadron resonance gas (HRG)~\cite{BraunMunzinger:2003zd,tawfik1,tawfik2,reseqsf,andronic,kapusta,kapusta1,gorenstein}. The equation of state for strongly interacting matter at finite temperature is wel...
1,108,101,564,025
arxiv
\section{Introduction} Recently, filamentary structure in molecular clouds has attracted a great deal of attention in the context of star formation. Thanks to the high sensitivity of Herschel satellite \citep{pilbratt2010} in infrared (IR) and sub-mm ranges, \revII{Herschel} has found many filaments in the thermal d...
1,108,101,564,026
arxiv
\section{introduction} Fundamental studies of unconventional superconductors are currently hindered by the scarcity of direct methods to determine the structure of the superconducting order parameter. Apart from Josephson junction experiments, few spectroscopic probes provide the valuable information about the phase o...
1,108,101,564,027
arxiv
\section{Introduction} Formally, the notion of pattern avoidance is defined as follows \begin{mydef} An $n$-permutation $\sigma$ {\bf contains} a $k$-permutation $\pi$ iff there exist integers $1 \leq x_1 < x_2 < \cdots x_k \leq n$ such that $$\pi(i)<\pi(j) \Leftrightarrow \sigma(x_i)<\sigma(x_j)$$ for all $i,j$. Ot...
1,108,101,564,028
arxiv
\section{ Introduction} Observations of ultra-luminous X-ray sources and simulations of globular cluster dynamics suggest the existence of intermediate-mass black holes (IMBHs). However, observational evidence for their existence is still under debate, see e.g.~\cite{MillerLISA:2009,MillerIMBH:2004}. Gravitational wa...
1,108,101,564,029
arxiv
\section{Introduction} \label{Sect:Intro} In the past two decades much effort has been made to calculate QCD corrections to weak processes. The indispensable renormalization group improvement of perturbatively calculated Feynman amplitudes requires their factorization into Wilson coefficients and matrix elements, which...
1,108,101,564,030
arxiv
\section{On the Nature of Young Globular Clusters} \label{sec1} When studying the myriads of point-like luminous sources brighter than any individual star on \emph{HST} images of \emph{ongoing} mergers (e.g., NGC 4038/39, NGC 3256), one would like to know which ones---or at least what fraction---will survive as globul...
1,108,101,564,031
arxiv
\section{Introduction} Please follow the steps outlined below when submitting your manuscript to the IEEE Computer Society Press. This style guide now has several important modifications (for example, you are no longer warned against the use of sticky tape to attach your artwork to the paper), so all authors should ...
1,108,101,564,032
arxiv
\section{Introduction} The spin structure of bound states is a topic of considerable interest in recent years \cite{Filippone:2001ux}. The so-called ``proton spin crisis'' was generated from the EMC experiment~\cite{EMC} in which it was found only a small fraction of the total proton spin is carried by the quark spin....
1,108,101,564,033
arxiv
\section{Supplemental Material} \label{sec:appendix} In the supplementary material, we first show the learning process of SHT\ with pseudocode summarized in Algorithm~\ref{alg:learn_alg}. Then, we investigate the influences of different hyperparameter settings, and discuss the impact of three key hyperparameters. Fin...
1,108,101,564,034
arxiv
\section{Introduction} Our Universe consists of 4 fundamental forces. Three of these forces have been consistently described on the quantum level and combined into the Standard Model of particle physics. Only quantum gravity seems to be elusive and has not been fully described in terms of quantum theory. This is not on...
1,108,101,564,035
arxiv
\section{Introduction} It is estimated by the Indian Cancer Society that 55,100 new cases of melanoma are being diagnosed each year in India \cite{india}. Worldwide, it caused more than 60,000 deaths out of the 350,000 cases reported in 2015 and causes one death in every 54 minutes in US ~\cite{report}. Even after be...
1,108,101,564,036
arxiv
\section{Analysis Methodology} \label{analysis} { } \noindent \textbf{Processing of EEG Bands and Metrics:} \label{process neural data} { We collected continuous data of raw EEG signals, the frequency band information of the signals (Alpha, Beta, Gamma, etc.), and Neurosky's post-processed, aggregated EEG metrics (...
1,108,101,564,037
arxiv
\section{INTRODUCTION} Identification of the precise location of the multicritical point is an important theoretical challenge in the physics of spin glasses not only because of its mathematical interest but also for the practical purpose of reliable analyses of numerical data. The method of duality is a standard tool...
1,108,101,564,038
arxiv
\section{Introduction} It is well known that the symmetry play an important role in phyisics. Sometimes we need not solve the problem explicitly, we can obtain much important and interesting information of a physical system or simplify our calculation by analyzing the symmetry of system. In particular, the dege...
1,108,101,564,039
arxiv
\section{Introduction} Dynamic programming (DP) algorithms have been widely used to solve various NP-hard problems in exponential time. Bellman, Held and Karp showed how DP can be used to solve the \textsc{Travelling Salesman Problem} in $\widetilde{O}(2^n)$\footnote{$f(n)=\widetilde{O}(g(n))$ if $f(n) = O(\log^c(g(n...
1,108,101,564,040
arxiv
\section{Experiment: attraction versus repulsion} Here, the inverted Cheerios effect is observed with sub-millimeter drops of ethylene glycol on a PDMS gel. The gel is a reticulated polymer formed by polymerizing small multifunctional prepolymers --~contrary to hydrogels, there is no liquid phase trapped inside. The l...
1,108,101,564,041
arxiv
\section{Introduction} Knowledge graphs (KGs) aim at semantically representing the world's truth in the form of machine-readable graphs composed of triple facts. Knowledge graph embedding encodes each element (entities and relations) in knowledge graph into a continuous low-dimensional vector space. The lear...
1,108,101,564,042
arxiv
\section{Introduction} Camera pose estimation is the task of determining the position and orientation of a camera in 3D space and it has many applications in computer vision, cartography, and related fields. Augmented reality, robot localization, navigation, or 3D reconstruction are just a few of them. To estimate the...
1,108,101,564,043
arxiv
\section{Introduction} The recent discovery of a number of remarkable tails of gas and stars stripped from galaxies found in clusters has been an exciting area of study in the field of cluster galaxy evolution e.g. \citet{Gavazzi+95, Kenney+99, Gavazzi+01, Yoshida+02, Yoshida+04, Sun+05, Oosterloo+05, Cortese+06, Chun...
1,108,101,564,044
arxiv
\section{Introduction} Anisotropic magnetic resonance (MR) images are those acquired with high in-plane resolution and low through-plane resolution. Such anisotropic volumes are common-place and are acquired to reduce scan time and the burden on the patient, while preserving SNR. To improve through-plane resolution, su...
1,108,101,564,045
arxiv
\section{INTRODUCTION} With the discovery of more than 300 extrasolar planets, considerable interest is now focused on finding and characterizing terrestrial mass planets in habitable zones around their host stars. Such planets are extremely difficult to detect around F, G and K stars, requiring either extremely high r...
1,108,101,564,046
arxiv
\section{Introduction} Over the past ten years, Artificial Neural Networks (ANNs) have become the model of choice for machine learning tasks in many modern applications. Although not completely understood today, the beliefs of the reasons for their success are mathematical, statistical and computational. From the ...
1,108,101,564,047
arxiv
\section{Introduction \label{sec1}} \input{section1} \section{Machine Concepts \label{sec2}} \input{section2} \section{Beam properties \label{sec3}} \input{section3} \section{Neutrino Oscillation Physics Reach of a Neutrino Factory and Beta Beam \label{sec4}} \input{section4} \section{Progress on Neutrino Facto...
1,108,101,564,048
arxiv
\section{Introduction} Planets form in disks of dust and gas that surround young stars. In recent years the spatial resolution and sensitivity achieved by instruments such as the Atacama Large Millimeter/submillimeter Array (ALMA) has allowed us to characterize these objects in detail. A key feature that we can only n...
1,108,101,564,049
arxiv
\section{Introduction} Given the social and ethical impact that some affective computing systems may have~\cite{hupont2022landscape}, it becomes of the utmost importance to clearly identify and document their context of use, envisaged operational scenario or intended purpose. Undertaking such use case documentation ...
1,108,101,564,050
arxiv
\section{Introduction} Extremal graph theory is becoming one of the significant branches of discrete mathematics nowadays, and it has experienced an impressive growth during the last few decades. With the rapid development of combinatorial number theory and combinatorial geometry, extremal graph theory has...
1,108,101,564,051
arxiv
\section{Introduction} As the scale of cyber attacks and volume of network data increases exponentially, organizations must continually adapt against the dynamic nature of evolving cyber threat actors. With more security tools and sensors being deployed in modern enterprise networks, the number of security events be...
1,108,101,564,052
arxiv
\section{Introduction} Disease progression refers to the temporal evolution of a disease over time. Modeling the temporal characteristics of a disease may be useful for various purposes including scientific discovery (e.g., understanding how a disease manifests itself by discovering the stages the patients typically go...
1,108,101,564,053
arxiv
\section{Introduction}\label{sec:introduction} The fundamental theory of the strong interactions is nowadays taken to be quantum chromodynamics (QCD); see, e.g., Refs.~\cite{ChengLi1985,Marshak1993} and other references therein. In the framework of this theory, there is evidence for the existence of a gluon condensat...
1,108,101,564,054
arxiv
\section{Introduction} Modern eye tracking sensors offer a suitable alternative to conventional input devices (i.e. keyboard and mouse) for users for whom manual interaction might be difficult or impossible. However, gaze-based interaction has well-known challenges the most important of which are (1) \textit{Midas to...
1,108,101,564,055
arxiv
\section{\label{sec:intro}Introduction} The top quark is the heaviest known fundamental particle and was discovered in 1995~\cite{cdftopobs,d0topobs} at the Tevatron proton-antiproton collider at Fermilab. The dominant top quark production mode at the Tevatron is $p\bar{p} \rightarrow t\bar{t}X$. Since the time o...
1,108,101,564,056
arxiv
\section{Introduction} Let $\gf$ be the field of order $2$, and let $\gf^n$ be the $n$-dimensional vector space over $\gf$. For $n\in \mathbb{N}$, we let $[n]=\{1,\ldots ,n \}$. A Boolean function $f\colon \gf^n \rightarrow \gf^m$ is said to be linear if there exists a Boolean $m\times n$ matrix $A$ such that $f(\...
1,108,101,564,057
arxiv
\section{Introduction} Construction of a novel advanced calculation methodology for high accuracy is always one of the most important themes in theoretical materials science. One of the most successful theories in this context must be the density-functional theory (DFT) \cite{HK,KS}. The DFT has been applied to a wide ...
1,108,101,564,058
arxiv
\section{Introduction} Blockchain has enabled computer systems to be more secure using a distributed network.~\cite{zhang2022sok,zhang2022,zhang2022BNS,ao2022} However, the current blockchain design suffers from fairness issues in transaction ordering.~\cite{kelkar2022order} Miner extractable value (MEV), first coined...
1,108,101,564,059
arxiv
\section{Introduction} The analysis of jet production in various high energy processes has become a major field for testing perturbative QCD. Recently jet production in $\gamma\gamma$ processes, where the two photons of very small virtuality are produced in the collision of electrons and positrons, ha...
1,108,101,564,060
arxiv
\section{Introduction} Let $\rho$ denote the density operator, acting on the finite-dimensional Hilbert space $H=H_A\otimes H_B$, which describes the state of two quantum systems $A$ and $B$. The state is said to be separable if $\rho$ can be written as a convex combination of product vectors \cite{Wer}, i.e. \begin{e...
1,108,101,564,061
arxiv
\section{Introduction} Divisors are fundamental objects of study within algebraic geometry and commutative algebra. In this package for \emph{Macaulay2} \cite{M2} we provide a wrapper object for studying Weil and Cartier divisors. We include tools for studying divisors on both affine and projective varieties. In th...
1,108,101,564,062
arxiv
\section{Introduction} While there is a substantial rise in implementing STEM \cite{stem12} applications into science education on the high school level \cite{stem15}, there still remains an inadequacy in the percentage of real-life applications in the science curriculum, especially in countries like Turkey. From a br...
1,108,101,564,063
arxiv
\section{Introduction}\label{SecI} Two-dimensional (2D) atomic crystals have extraordinary electronic and photonic properties which hold great promise in the application of photonics and optoelectronics~\cite{Novoselov2004,Novoselov2005,Bonaccorso2010}. A fundamental understanding of the light-matter interaction in t...
1,108,101,564,064
arxiv
\section{Introduction and related results} All graphs in this paper are finite, simple and undirected graphs. By clique number of a graph $G$ we mean the largest order of a complete subgraph in $G$ and denote it by $\omega(G)$. Also $\alpha(G)$ stands for the largest number of independent vertices in $G$. For other not...
1,108,101,564,065
arxiv
\section{Introduction} Large samples of galaxies with multi-wavelength photometric data and spectroscopic data \citep[e.g.][]{york00,gia04,scoville07} have allowed galaxy evolution studies to shift from luminosity and colour to the more physical plane of stellar mass and star formation rate (SFR), and to examine other...
1,108,101,564,066
arxiv
\section{Introduction} The LIGO and Virgo gravitational wave observatories recently completed their final joint science run until advanced detectors come online. The observation was LIGO's sixth science run and Virgo's second and third science runs. LIGO operated two instruments, the four kilometer Hanford detector (H...
1,108,101,564,067
arxiv
\section{Introduction} Synthetic aperture radar (SAR) is capable of acquiring data in all kinds of weather and lighting conditions. As a coherent imaging radar system, it is often mounted on an airplane or satellite platform, where it transmits a frequency modulated signal to a scene on the ground and records the measu...
1,108,101,564,068
arxiv
\section{Introduction} Une lame supraconductrice de type II, plong\'ee dans un champ magn\'etique ext\'erieur $\boldsymbol{B}_0$, est travers\'ee par un r\'eseau r\'egulier de lignes de vortex, sauf dans l'\'etat Meissner en champ parall\`ele faible ($B_0<B_{c1}$, le premier champ critique); c'est l'\'etat dit mix...
1,108,101,564,069
arxiv
\section{Logic of the program} The complex scalars in ${\mathcal N}=2$ gauge theories in four dimensions generically admit continuous vacuum expectation values which are not lifted by quantum corrections. This space of vacuum solutions is called the moduli spaces of vacua, ${\mathcal M}$. Depending on the properties o...
1,108,101,564,070
arxiv
\section{} Fully 3D magnetohydrodynamic (MHD) simulations of astrophysical phenomena represent a challenge in standard data visualization for scientific purposes, for the amount of processed data and the wealth of scientific information they contain. Recently, the potential of virtual reality (VR) hardware and softwa...
1,108,101,564,071
arxiv
\section{Introduction} Let $A$ be an associative unital algebra projective over a commutative ring $k$. The Hochschild cohomology $k$-modules of $A$ with coefficients in an $A$-bimodule $M$, \[ H^\bullet(A,M)=\bigoplus_{n\geq0} H^n(A,M) \] have been introduced by Hochschild \cite{Hochschild} and extensively studied si...
1,108,101,564,072
arxiv
\section{Introduction} \begin{figure}[t] \centering \includegraphics[width=\linewidth]{poc_v3.png} \caption{Illustration of the steerable anatomy parsing concept. (a) Input 3D CT scan. (b) Target rib identified by query. (c) Target vertebra identified by query. (d) Identifying pancreas and spleen simultaneously. Best ...
1,108,101,564,073
arxiv
\section{Introduction} \label{sec:intro} There are two types of motivations to study the role of sub-stellar objects (planets and brown dwarfs) in shaping planetary nebulae (PNe), i.e., shaping the outflow from asymptotic giant branch (AGB) progenitors of PNe. We include in this study also rare cases of PNe that red ...
1,108,101,564,074
arxiv
\section{Introduction} \subsection{Context and Motivation} Design of radar waveforms and detectors has been a topic of great interest to the radar community (see e.g. \cite{Kay1998}-\cite{Kay 2007}). For best performance, radar waveforms and detectors should be designed jointly \cite{Richards 2010}, \cite{MU}. Trad...
1,108,101,564,075
arxiv
\section{Introduction} One striking observation in high-energy nucleus-nucleus (A+A) collisions is the large anisotropy of particle production in the azimuthal angle $\phi$~\cite{Ackermann:2000tr,ALICE:2011ab}. This anisotropy is often studied via a two-particle correlation of particle pairs in relative pseudorapidity...
1,108,101,564,076
arxiv
\section{Introduction} All the graphs considered are undirected, simple, finite and \underline{connected}. The vertex set and edge set of a graph $G$ are denoted by $V(G)$ and $E(G)$. Let $v$ be a vertex of $G$. The \emph{open neighborhood} of $v$ is $\displaystyle N_G(v)=\{w \in V:vw \in E\}$, and the \emph{clo...
1,108,101,564,077
arxiv
\section{Introduction} Studies on the problem of optimally arranging points on a sphere can date back to over one hundred years ago, when Thomson attempted to explain the periodic table in terms of the ``plum pudding'' model of the atom. Since then, several varied problems were proposed, and some of such problems are s...
1,108,101,564,078
arxiv
\section{Introduction} Relativistic jets are considered in various contexts in high-energy astrophysics, such as active galactic nuclei (AGNs) \citep{up95,ferrari98}, microquasars \citep{mirabel99}, and potentially gamma-ray bursts (GRBs) \citep{piran05,mes06}. The interaction between fast moving jets (the relevant L...
1,108,101,564,079
arxiv
\section{ 1.\hspace{0.5cm}Introduction} It is known that a charged particle in a uniform magnetic field exhibits circular motion with specified frequency of revolution, called cyclotron frequency, and specified radius which depends on the charge and mass of particle and magnitude magnetic field [1]. Quantum mechani...
1,108,101,564,080
arxiv
\section{Introduction} \IEEEPARstart{I}{n} the wake of the rapid growth of multiple modalities data (e.g., image, text, and video) on social media and the internet, cross-modal information retrieval have obtained much attention for storing and searching items in the large-scale data environment. Hashing based methods \...
1,108,101,564,081
arxiv
\section{Introduction} In this article we construct (in a rigorous mathematical way) interacting quantum field theories over a $p$-adic spacetime in an arbitrary dimension. We provide a large family of energy functionals $E(\varphi,J)$ admitting natural discretizations in finite-dimensional vector spaces such tha...
1,108,101,564,082
arxiv
\section*{Introduction} In recent years, the growing demand of fast electronics promoted the thrive of applications based on Josephson vortices, i.e., solitons~\cite{And10,Lik12,Wus18}. Nonetheless, the effective interplay between thermal transport and soliton dynamics is far from being fully explored. Indeed, the inf...
1,108,101,564,083
arxiv
\section{Introduction} The discovery of the Higgs boson by the ATLAS and CMS collaborations of the LHC gives big impacts on particle physics~\cite{Aad:2012tfa,Chatrchyan:2012ufa}. All the elementary particles of the Standard Model (SM) with gauge symmetry $\text{SU}(3) \times \text{SU}(2) \times \text{U}(1)$ are expe...
1,108,101,564,084
arxiv
\section{Introduction} \label{sec:introduction} Maximum likelihood estimation in Gaussian graphical models can be carried out via generic optimization algorithms, Newton--Raphson iteration, iterative proportional scaling, other alternating algorithms \citep{speed:kiiveri:86}, or the graphical lasso with zero pena...
1,108,101,564,085
arxiv
\section{Introduction} \label{sec:intro} Socially assistive robots (SARs), which assist humans mentally and physically via social interaction with them, have proven to be very successful in boosting the outcomes of therapeutic and educational assistance for humans \citep{Feil-Seifer2005,Tapus2008,Ros2019a,Scassell...
1,108,101,564,086
arxiv
\section{Introduction} The Generalized Riemann Hypothesis asserts that the nontrivial zeros of an $L$-function lie on the critical line $\Re(s)=\frac12$. Thus, the zeros can be listed as $\frac12+i \gamma_n$ where $\cdots\le \gamma_{-2}\le \gamma_{-1}<0\le \gamma_1\le \gamma_2\le \cdots$, with zeros repeated accordin...
1,108,101,564,087
arxiv
\section{Introduction} The literature on tracking of isolated or multiple objects in uncluttered and cluttered environments is broad and varied, with methodological approaches ranging from variational techniques to an extensive variety of Kalman filters, particles filters, and other sequential Bayesian filters~\cite{An...
1,108,101,564,088
arxiv
\section{Introduction} Classical Cepheids (Cepheids hereafter) are an incredibly useful class of pulsating yellow supergiants. Since the discovery of the Cepheid Period-Luminosity law (the \textit{Leavitt Law} -- \citealt{lea08}) over a century ago, they have become a cornerstone of the Cosmic Distance Scale and a pow...
1,108,101,564,089
arxiv
\section{Introduction} \label{sec:intro} Forecast verification has been recognized as one of the most important topics in terrestrial weather forecast research. In the field of space weather forecast, however, forecast verification is still in the early stages. Recently, some Regional Warning Centers (RWCs), belongin...
1,108,101,564,090
arxiv
\section{Analysis} \label{SECII}\label{sec:analysis} \subsection{Single-sample observation} \label{sec:singleSample} We begin by investigating perhaps the simplest Bayesian coherent data analysis: detecting a signal from a known sky position in a single strain sample from each of $N$ gravitational wave observatorie...
1,108,101,564,091
arxiv
\section{Introduction} Due to their fascinating properties such as aging, memory effects and ergodicity-breaking transitions, as well as industrial applications, structural glasses, supercooled liquids and polymers have received considerable attention recently. In particular, when the temperature is decreased, they u...
1,108,101,564,092
arxiv
\section{Introduction} \label{sec:intro} Most existing dialogue systems are sequence-to-sequence (seq2seq) models~\cite{Luan2016LSTMBC,serban2016building}. Since a dialogue generally lasts for several turns, a dialogue session with multiple utterances can often be modeled as a sequence of ``sequences'' (i.e., utteran...
1,108,101,564,093
arxiv
\section{Introduction} Since the discovery of quasicrystals in nature \cite{Shech}, aperiodic structures have been extensively studied in condensed matter physics (see for e.g. \cite{Vek}--\cite{Macia3}) and also in mathematics (see \cite{Quasicrys, DirMath}). One of the main questions in the theory of one-dimension...
1,108,101,564,094
arxiv
\section*{Introduction} Let $S=K[x_1,\ldots,x_n]$ be a polynomial ring over a field $K$. Any squarefree monomial ideal $I$ in $S$ can be considered both as the Stanley-Reisner ideal of a simplicial complex $\Delta_I=\{\{x_1,\ldots,x_n\}:\ x_1\cdots x_n\notin I\}$ and as a facet ideal of the simplicial complex $\Delt...
1,108,101,564,095
arxiv
\section{Introduction} The intracluster medium (ICM) is a mixture of thermal and non-thermal components and a precise physical description of the ICM also requires adequate knowledge of the role of non-thermal components. The most detailed evidence for non-thermal phenomena comes from the radio observations. A numbe...
1,108,101,564,096
arxiv
\section{Introduction} Exploration through the exact solution of models has a secular tradition in mathematical physics. Empirically, exact solvability is possible in the presence of symmetries, which come in various guises and which are described by a variety of mathematical structures. In many cases, exact solutions...
1,108,101,564,097
arxiv
\section{Introduction} \IEEEPARstart{E}{lectricity} demand forecasting is a crucial task for grid operators. Indeed the production must balance the consumption as storage capacities are still negligible compared to the load. Time series methods have been applied to address that problem, relying on calendar information ...
1,108,101,564,098
arxiv
\section{Introduction} Let $(Z_t)_{t\geq 0}$ be a one-dimensional square integrable L\'evy process. Then for some $a \in {\mathbb{R}}$, some $b \in {\mathbb{R}}_+$, and some measure $\nu$ on ${\mathbb{R}}_*$ satisfying $\int_{{\mathbb{R}}_*} z^2 \nu(dz) <\infty$, \begin{equation}\label{levy} Z_t = at+ b B_t + \displ...
1,108,101,564,099
arxiv
\section{Introduction} Kinetically constrained models (KCMs) are interacting particle systems on $\mathds{Z}^d$, in which each element (or \emph{site}) of $\mathds{Z}^d$ can be in state 0 or 1. Each site tries to update its state to 0 at rate $q$ and to 1 at rate $1-q$, with $q \in [0,1]$ fixed, but an update is acce...
1,108,101,564,100
arxiv
\section{High mass halos} \begin{figure*} \centering \includegraphics[scale=0.6]{figs/predicting_pk_from_obs_h2_v1.pdf} \caption{} \label{fig:predict_h2_v1} \end{figure*} \begin{figure*} \centering \includegraphics[scale=0.6]{figs/predicting_pk_from_obs_h2_v2.pdf} \caption{} \label{fi...
1,108,101,564,101
arxiv
\section*{Acknowledgements} This work was supported by the CNPq-FAPEAL grant of Brazil. The author would like thank Professor A.M. Kamchatnov for invaluable discussion.
1,108,101,564,102
arxiv
\section{Introduction} One of the oldest baryonic remnants of the early universe in our Galaxy is the massive black hole in Sgr A*. At redshifts higher than $z\sim 4$, black holes are thought to grow rapidly through radiatively inefficient accretion (Inayoshi et al 2016) and the merger of subsystems harbouring lower ...
1,108,101,564,103
arxiv
\section{Introduction} The classification of gauge symmetries that can arise in the string landscape is an important problem that is comparatively easy to address for vacua with high supersymmetry. A particularly interesting set of vacua of this kind is provided by heterotic strings compactified on $T^d$, realizing mo...
1,108,101,564,104
arxiv
\section{Introduction} This paper aims at implementing an efficient and effective brain-computer interface (BCI) based system with bluetooth based indoor user localization that enables users to control various home appliances without actual physical interaction. For a wide range of people, from those who are almost ...
1,108,101,564,105
arxiv
\section{Introduction} A (pseudo-)Riemannian metric $g_{ab}$ is said to be \textit{Einstein} if its Ricci curvature $R_{ab}$ is a multiple of~$g_{ab}$. The problem of determining whether a given conformal structure (locally) contains an Einstein metric has a rich history, and dates at least to Brinkmann's seminal inve...
1,108,101,564,106
arxiv
\section{\label{sec:level1}First-level heading:\protect\\ The line \section{\label{Intro}Introduction} Despite their apparently separated application areas, general relativity and quantum information are not disjoint research fields. On the contrary, following the pioneering work of Alsing and Milburn \cite{Alsingtele...
1,108,101,564,107
arxiv
\section{Introduction} \begin{figure}[t!] \centering \includegraphics[width=0.4\textwidth]{Figures/regression.pdf} \caption{Illustration of regression errors when upgrading from BERT \citep{devlin-etal-2019-bert} to ELECTRA \citep{Clark2020ELECTRA:} for classification. Red circles and green squares denote examples of ...
1,108,101,564,108
arxiv
\section{Introduction} In an earlier paper \cite{Kos98}, Pekka Koskela wrote about old and new results concerning the quasihyperbolic metric - a metric introduced in \cite{GP76}. Since then this metric has been a key player in much of Pekka's work along with that of many other authors, either as a fundamental geometr...
1,108,101,564,109
arxiv
\section{Introduction} Speech enhancement, usually called speech denoisng, is a task of improving speech quality and intelligibility \cite{ref_se}. It plays a key role in speech, audio and acoustic applications, such as telecom, hands-free telephone, mobile communication, etc. The feeling of voice interaction will degr...
1,108,101,564,110
arxiv
\section{Introduction} Capacity expansion planning (CEP) problems are powerful tools for the design, analysis and implementation of energy system decarbonisation policies. In such frameworks, the accurate spatiotemporal representation of variable renewable energy generation (RES, e.g., wind, solar PV) is paramount fo...
1,108,101,564,111
arxiv
\section{Introduction} Nonlinearity is essential to superconducting circuit implementations of quantum information. It allows for an individually addressable qubit subspace and tunable interactions between qubit circuits. Qubit-qubit interactions in a variety of platforms are mediated by coupler circuits inductively co...
1,108,101,564,112
arxiv
\section{Introduction} \label{sec:introduction} Cybersecurity consists of protecting systems, networks, and programs against cyber-attacks that aim to access, modify or destroy sensitive information, extort money from users, or disrupt normal business processes. Cyber-attacks against networks are rising. Computer and ...
1,108,101,564,113
arxiv
\section{Introduction} \label{ch:intro} \input{tex/1intro} \section{Problem Formulation} \label{ch:formulation} \input{tex/3formulation} \section{Proposed Method} \label{ch:method} \input{tex/3proposed} \section{Results} \label{ch:results} \input{tex/4results} \section{Conclusions} \label{ch:conclusions} \input{t...
1,108,101,564,114
arxiv
\section{Observations} The UVOT utilizes seven broadband filters during the observation of GRBs. The characteristics of the filters --- central wavelength ($\lambda_c$), FWHM, zero points (the magnitudes at which the detector registers $1 {\rm ~count\,s^{-1}}$; $m_z$), and the flux conversion factors ($f_{\lambda}$) --...