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541,165,882,456
arxiv
\section{Introduction and motivation} \subsection{Problem formulation} Ferson, Ginzburg, Kreinovich, Longpr\'e and Aviles \cite{ferson:2005:ExactBoundsFinitea} studied the pair of optimization problems \begin{align} \min_{x \in \mathbb{R}^n} V(x)\quad\text{s.t.}\quad\underline{x} \leq x \leq \overline{x}, \label{eq:l...
541,165,882,457
arxiv
\section{Introduction} \label{sec:intro} Dwarf galaxies are the most numerous type of galaxies in the present-day Universe. They are thought to be the first galaxies to form and the basic building-blocks of the stellar halos of larger galaxies \citep{Helmi2020ARAA}. They are thus, key astrophysical objects for underst...
541,165,882,458
arxiv
\section{Introduction} \IEEEPARstart{P}{olarimetric} imaging applications take advantage on the polarisation property of light to devise information on the acquired surface. Indeed, reflected light exhibits a polarisation angle that can be directly related to surface material and normal, giving additional information...
541,165,882,459
arxiv
\section{\hyperlink{Methods}{\section{Methods}}} \section{Acknowledgement} The project is supported by European Union Horizon 2020 research and innovation program under the Marie Sk\l{}odowska-Curie Grant No. 722176 (INDEED), Microsoft Quantum and the European Research Council (ERC) under Grant No. 716655 (HEMs-DAM)....
541,165,882,460
arxiv
\section{Introduction} Linguistic modality is frequently used in natural language to express uncertainty with respect to events and states. Downstream NLP tasks that depend on knowing whether an event actually occurred, such as Knowledge Graph construction, Fact-checking, Question Answering and Entailment Graph constr...
541,165,882,461
arxiv
\section{Introduction} One of the greatest mysteries in physics today is the nature of the dark matter that comprises most of the mass of the universe. A possibility that is strongly motivated by elementary particle physics is weakly-interacting massive particles that are relics of a thermal distribution in the...
541,165,882,462
arxiv
\section*{Introduction} The Kalman filter is an iterative real-time state estimation algorithm that combines measurement records with a mathematical description of the system dynamics. At each time step, it provides a state estimate that is conditioned on the knowledge acquired from earlier observations~\cite{kalman19...
541,165,882,463
arxiv
\section{Introduction} One of the most important aim of modern extragalactic astronomy and cosmology is to solve the problem of structure formation. There are many theories used to develop scenarios of structure formations \citep{Peebles69,Zeldovich70,Sunyaew72,Doroshkevich73,Shandarin74,Dekel85,Wesson82,Silk83...
541,165,882,464
arxiv
\subsection{#1}} \begin{document} \font\ninerm = cmr9 \baselineskip 14pt plus .5pt minus .5pt \def\kern-3pt \hrule width \hsize \kern2.6pt{\kern-3pt \hrule width \hsize \kern2.6pt} \hsize=6.0truein \vsize=9.0truein \textheight 8.5truein \textwidth 5.5truein \voffset=-.4in \hoffset=-.4in \pagestyle{empty} \begin{c...
541,165,882,465
arxiv
\section{Introduction and scope of the paper}\label{intro} The manipulation of continuous variable quantum information is by now a well established area of research \cite{martinrev}, that has led to a number of remarkable experimental and technological advances \cite{braunstein05}. So far, the physical system of cho...
541,165,882,466
arxiv
\section{Introduction} Tabling~\cite{Chen-96} is a recognized and powerful implementation technique that overcomes some limitations of traditional Prolog systems in dealing with recursion and redundant sub-computations. In a nutshell, tabling is a refinement of SLD resolution that stems from one simple idea: save inte...
541,165,882,467
arxiv
\section*{Capillarity-like growth of folding nucleus} \textbf{Capillarity picture of folding nuclei.}~% The capillarity approximation of folding nuclei is based on classical nucleation theory of first order phase transition kinetics.~\cite{bryngelson:wolynes:90,wolynes:97}. Within the capillarity approximation, the ...
541,165,882,468
arxiv
\section{Introduction} Recommender systems have a variety of applications today, such as ecommerce, financial services, social networks, news and the like. They find applications in places where there is a necessity to personalize the information to be presented to each user out of a much larger and varied collectio...
541,165,882,469
arxiv
\section{Introduction} The notion of exterior convexity introduced in Bandyopadhyay-Dacorogna-Sil \cite{BDS1} is of fundamental importance in calculus of variations on exterior spaces, playing a role similar to what is played by the usual notions of convexity in classical vectorial calculus of variations. \par However...
541,165,882,470
arxiv
\section{Introduction} \label{sec:int} The astrophysics of core-collapse supernova (CCSN) explosions has achieved a significant degree of sophistication since the pioneering work of \citet{1966ApJ...143..626C}. In that paper, the connection between the neutrino agency of explosion and core mantle heating by the...
541,165,882,471
arxiv
\section{Introduction} Genomes are subject to mutations or \emph{rearrangements} in the course of evolution. A classical problem in comparative genomics is to compute the rearrangement \emph{distance}, that is the minimum number of large-scale rearrangements required to transform a given genome into another given geno...
541,165,882,472
arxiv
\section{Introduction}\label{introduction} Active scalar equations belong to a class of partial differential equations where the evolution in time of a scalar quantity is governed by the motion of the fluid where the velocity itself varies with this scalar quantity. They have been a topic of considerable study in rece...
541,165,882,473
arxiv
\section{Introduction} \begin{table*}[tbh!] \caption{Results of the blind line, narrow band and prior selected sample search in the MUSE data cubes.} \label{tab:blind} \centering \begin{tabular}{ccccccc} \hline\hline ID & RA & DEC & $\Delta v^\ddag$ & FWHM & $S_{\text{Ly}\alpha}...
541,165,882,474
arxiv
\section{Introduction} Among the many forms of physical evidence found at crime scenes, shoeprints are one of the most frequently seen, with a high degree of evidential value attributed to them. Marks and prints formed by the footwear worn by the criminal(s) are frequently found at scenes-of-crime and their study was b...
541,165,882,475
arxiv
\section{Introduction} Suppose that we are given a set of data points $p_1, ... p_n \in \mathbb{R}^d$ and a number of clusters $N$. We would like assort these data points ``optimally'' into $N$ clusters. For each point $p_i$ let $z_i$ denote the center of gravity of the cluster $p_i$ is assigned to. We call the $z_i...
541,165,882,476
arxiv
\section{Introduction} \subsection{Recurrence rate and Lagrange constants} We study recurrence of maps of the unit interval that preserve Lebesgue measure. Let $T\colon [0,1)\to [0,1)$ be a measurable map of the unit interval into itself. The recurrence rate of $T$ at $x\in [0,1)$ is defined as \[ r(T,x) = \liminf_{n \...
541,165,882,477
arxiv
\section{Introduction} The directed power graph of a group $\mathbf G$ is the simple directed graph whose vertex set is $G$, and in which $x\rightarrow y$ if $y$ is a power of $x$. Its underlying simple graph is called the power graph of the group. The directed power graph was introduced by Kelarev and Quinn \cite{pr...
541,165,882,478
arxiv
\section{Introduction} \hspace{\parindent} Identifying the nature of observed enhancements in hadron-hadron scatterings is one of the central goals of hadron spectroscopy~\cite{Olsen2018,Guo2018}. The primary concern is to associate the enhancements with nearby S-matrix poles~\cite{Taylor,Newton,EdenAnalytic,Pc4312,Don...
541,165,882,479
arxiv
\section{Transferability of MetaAugment} According to the updating rules, MetaAugment requires three forward and backward passes of the task network in each iteration, which makes it take $3\times$ training time than a standard training of a task network. However, once trained, the policy network $P(\cdot,\cdot\,;\bm...
541,165,882,480
arxiv
\section{Introduction} \label{sect:Intro} Following two insightful theoretical proposals to realize Majorana zero modes (MZMs) in quantum wires with strong Rashba spin-orbit coupling~\cite{lutchyn2010majorana,oreg2010helical, lutchyn2011search}, several experiments have observed zero-bias conductance peaks which provid...
541,165,882,481
arxiv
\section{Introduction} \label{sec:intro} Silicon PhotoMultipliers (SiPMs) are nowadays the photon detectors more widely used for applications with scintillators (solid or liquid) or imaging, with important industrial impacts. Their high detection efficiency (w.r.t. standard PhotoMultipliers), insensitivity to magne...
541,165,882,482
arxiv
\section{Introduction} \label{intro} Recent trends in income and wealth inequality have drawn much attention from both academic researchers and the general public. The detailed empirical work of \citet{Atkinson/Piketty/Saez:2011}, \citet{Davies/Sandstrom/Shorrocks/Wolff:2011}, and \citet{Piketty:2014}, among others, d...
541,165,882,483
arxiv
\section{Introduction} \revcorr{Novel head-mounted devices offer new and exciting ways of interacting with physical and virtual content. At the same time, these devices pose new challenges regarding human-computer interaction and content creation methods. For example, the use of standard interaction tools such as a co...
541,165,882,484
arxiv
\section{Introduction} In this work we describe recent progress in lattice gauge theory (LGT) computations in a model dual to pure Yang-Mills theory. The dual model we consider is based upon the character expansion of the amplitude at each fundamental plaquette, a procedure that has been known since the early days of ...
541,165,882,485
arxiv
\section{Introduction} It is well known the meaning of methods of the functional differentiation and functional integration for the problems of mathematical physics \cite{V,BSh} and applications \cite{DE}, in particular with regard to many-particle systems of statistical mechanics or quantum field theory. As far a...
541,165,882,486
arxiv
\section{Introduction} \label{sec:introduction} World Health Organization (WHO) recommends to managing the provides Particulate Matter (PM) level with providing their guideline as shown in Table~\ref{table:pm-guideline} because it can infiltrate into the deeper site of humans via respiratory organ \cite{who2006aqg}. F...
541,165,882,487
arxiv
\section{Introduction}\label{sec:Intro} It is widely accepted that every massive galaxy hosts a supermassive black hole (SMBH; $>10^6M_\odot$) in its centre \citep{MagorrianDemographyMassiveDark1998,FilippenkoLowMassCentralBlack2003,KormendySecularEvolutionFormation2004,BarthPOX52Dwarf2004,GreeneActiveGalacticNuclei200...
541,165,882,488
arxiv
\section{Introduction} \label{sec:intro} Docker containers~\cite{Merkel-Docker-2014} have popularized the use of lightweight virtualization technologies such as LXC~\cite{www-infoworld}. Some large companies report running all of their services in containers (e.g.~\cite{clark-everything-in-container}), and Container a...
541,165,882,489
arxiv
\section{Introduction} Observing and characterising the three-dimensional atmospheric structure of exoplanets is a continuing endeavour for the exoplanetary community. A keystone tool for investigating exoplanet atmospheres in forward and retrieval efforts is radiative-transfer modelling, examining how radiation inter...
541,165,882,490
arxiv
\section{Introduction} \begin{wrapfigure}{l}{0.45\textwidth} \centering \includegraphics[width=\linewidth]{fancy} \caption{Sample localization outputs for \textit{grid}, \textit{capsule} and \textit{transistor} categories from MVTec AD: From left to right, columns show test image, ground truth mask and pre...
541,165,882,491
arxiv
\section{Introduction} \label{sec:intro} Automatic music transcription (AMT) is a fundamental task in audio signal processing and music information retrieval (MIR) \cite{emiya2010multipitch,benetos2013automatic,su2015escaping,su15taslp,hawthorne2018enabling,benetos2018automatic,thickstun2018invariances,omnizart}. Am...
541,165,882,492
arxiv
\section{Introduction} The two Solar TErrestrial RElations Observatory \citep[STEREO,][]{Kaiser-etal-2008} spacecraft were launched in October 2006 in the declining phase of solar cycle 23. During the first years of the mission the observed particle enhancements were mainly dominated by recurrent energetic particle eve...
541,165,882,493
arxiv
\section{Introduction} In recent years, the optimal portfolios and minimal investment risks in the quenched disordered systems of portfolio optimization problems such as the mean-variance model and the absolute-deviation model have been investigated actively using {analysis methods} represented by replica analysis, th...
541,165,882,494
arxiv
\section{Introduction}\label{intro} The goal of this paper is to provide a discrete-time finite-population construction of the two-parameter Poisson--Dirichlet diffusion, extending an analogous construction for the well-known infinitely-many-neutral-alleles diffusion model provided in \cite{EK81}. Introduced by \cite...
541,165,882,495
arxiv
\section{Acquisition Pipeline Details} This is somewhat involved and difficult, but primarily an engineering, not research task. It is documented here to answer technical questions. \noindent {\bf Finding Videos.} YouTube provides, as an undocumented feature, four thumbnails. We download these and extract Alexnet {\...
541,165,882,496
arxiv
\section{Appendix A: The non-Gaussian statistics } \bigskip
541,165,882,497
arxiv
\section{Introduction} From Wikipedia: ``\emph{LaserTank (also known as Laser Tank) is a computer puzzle game requiring logical thinking to solve a variety of levels}''. It was first released on the Windows platform in 1995, and a similar game was released in 1998 for the graphing calculator Texas Instruments Ti...
541,165,882,498
arxiv
\section{Introduction} Shadows play an important role in many different branches of mathematics such as differential geometry, convex analysis, geometric combinatorics, and functional analysis \cite{Gh, Cho, Bl, GS, Mar, Be, Ki, Arn}. Our aim in this paper is to show that they also naturally appear in a free boundary ...
541,165,882,499
arxiv
\section{INTRODUCTION} Energetics of ``nanoporous medium--nonwetting liquid'' systems is one of the new directions in basic and applied research (see e.g. \cite{1,2,3,4,5,6,7,8,9,10,11,12}). In the simple model of a porous medium in the form of cylindrical channels, threshold pressure is described by the Laplace-Washb...
541,165,882,500
arxiv
\section{Introduction} Centrality metrics, such as closeness or betweenness, quantify how central a node is in a network. They have been successfully used to carry analysis for various purposes such as structural analysis of knowledge networks~\cite{Pham10,Shi10}, power grid contingency analysis~\cite{Jin10}, quantify...
541,165,882,501
arxiv
\section{Introduction} \par Bio-inspired soft robots are robotic systems made of materials that have the similar moduli order of natural organisms ($10^4 - 10^9 \text{Pa}$) \cite{rus2015design}. Different from the conventional rigid-link robotic systems with impedance control \cite{part1985impedance} or stiffness modul...
541,165,882,502
arxiv
\section{Introduction} \label{sec:introduction} \begin{figure}[htbp] \center \includegraphics[width=\textwidth]{demo1.pdf} \caption{A glance of some examples from the proposed APT-36K dataset. The five columns of images show single animal instance, complex movements, and multiple animal instances, respecti...
541,165,882,503
arxiv
\section{Introduction} \label{sec:intro} The typical massive star-forming galaxies at the peak epoch of galaxy formation, in the redshift range $z\!\sim\!1\!-\!3$, are dominated by extended rotating and turbulent gas-rich discs \citep{genzel06,forster06,genzel08,tacconi10,genzel11,tacconi13,genzel14_rings, forster1...
541,165,882,504
arxiv
\section{Introduction} Atrial fibrillation (AF) is a poorly understood arrhythmia where multiple activation wavefronts are observed to propagate continuously in the atrial muscle tissue in an apparently random manner \cite{Konings1994}. The activation wavefronts meander, divide and collide with mutual extinction and r...
541,165,882,505
arxiv
\section{Introduction\label{sec:Intro}} \textbf{Two-Level-Systems in amorphous materials - } The properties of amorphous or glassy material are dominated by the observation that they have short range atomic order without long-range order. Even though they have been studied for decades, there is still a surprisingly l...
541,165,882,506
arxiv
\section{INTRODUCTION}\label{sec:introduction} The COVID-19 outbreak is changing the world as never seen before. The lockdowns and quarantines implemented worldwide can be noticed even from space. Spatial agencies such as the US National Aeronautics and Space Administration (NASA) and the European Space Agency (ESA) ob...
541,165,882,507
arxiv
\section{Introduction} \label{intro} In the absence of a proof, there is still no general consensus on the mechanism of quark confinement. Is it monopoles, dyons, center vortices, the Gribov-Zwanziger scenario, or something else? In my own opinion, the weight of evidence favors center vortices (although connec...
541,165,882,508
arxiv
\section{Introduction} \label{introduction} Planets orbiting close enough to their host M dwarf stars to be tidally-locked have their day-sides continuously subjected to the enormous UV stellar irradiation. The first habitable zone (HZ) exoplanets to have their atmospheres characterized will likely be such tidally-lock...
541,165,882,509
arxiv
\section*{Acknowledgments} We thank the staff at RRCAT Indore for providing beam-time; Dr.~S.~Banik for her help with the transport logistics; Prof.~S.~Mazumdar, Prof.~R.~Mallik and their students for helping with incubating the samples; Mr.~N.~A.~Kulkarni, Mr.~V.~J.~Mhatre, Mr.~M.~S.~Pose and Mr.~K.~V.~Divekar for he...
541,165,882,510
arxiv
\section{Introduction} Quantum Chromodynamics (QCD), the fundamental theory which describes the strong interaction among quarks and gluons, can be solved non-perturbatively by numerical simulation of the theory defined on a 4-dimensional Euclidean lattice. Parton distribution functions (PDFs) encode important informa...
541,165,882,511
arxiv
\section{For every submission} \subsection{Did you discuss the \textit{limitations} of your work?} If you answer {\bf Yes}, provide the section number; if you answer {\bf No}, provide a justification. \\[0.3cm] \begin{Form} \begin{tabular}{l} \cm{mainClaims}{Yes,No,N/A}{Yes}\\[0.2cm] \tf[0.85]{mainClaimsJusti...
541,165,882,512
arxiv
\section{Introduction} \label{sec:introduction} Word embeddings have recently become a central topic in natural language processing. Several unsupervised methods have been proposed to efficiently train dense vector representations of words \cite{mikolov2013distributed,pennington2014glove,bojanowski2017enriching} and s...
541,165,882,513
arxiv
\section{Introduction} Non equilibrium phenomena are on the agenda in modern statistical physics, soft condensed matter and biophysics. Open systems driven far from equilibrium are ubiquitous. A classical case is driven Navier Stokes turbulence, other cases are driven lattice gases, growing interfaces, growing fractals...
541,165,882,514
arxiv
\section{Introduction\label{intro}} The confirmed existence of a milli-parsec-separation supermassive black hole (SMBH) binary would be an important discovery. SMBH binaries may be present in nature as a consequence of hierarchical mergers of dark matter halos, so the incidence of binary AGN provides a potentially i...
541,165,882,515
arxiv
\section*{Abstract} We present a novel Deep Learning-based algorithm to accelerate -- through the use of Artificial Neural Networks (ANNs) -- the convergence of Algebraic Multigrid (AMG) methods for the iterative solution of the linear systems of equations stemming from Finite Element discretizations of Partial ...
541,165,882,516
arxiv
\section{Introduction} Let $\mathbb B_d \subset \mathbb C^d$ be the open Euclidean unit ball and let \begin{displaymath} k\colon\mathbb{D}\to\mathbb{C},\thickspace k(z)=\sum_{n=0}^{\infty}a_{n}z^{n} \end{displaymath} be an analytic function without zeros on the unit disc $\mathbb D$ in $\mathbb C$ such that \(a_{0}=...
541,165,882,517
arxiv
\section{Introduction} \label{} The idea of analyzing the differential equations by applying the transformation groups implied a new theory: the symmetry group theory, also called Lie group analysis. This method was originated at the end of nineteenth century from the pioneering work of Sophus Lie \cite{Lie}. Since th...
541,165,882,518
arxiv
\section{Introduction} \setlength{\parskip}{0\baselineskip} \par Reversible data hiding (RDH) in the plaintext domain is a technique to modify the original cover image to hide secret information (secret data) \cite{Tsai2009Reversible,Chen2013Reversible,Zhang2013Reversible,Li2015Efficient}. It can completely restore the...
541,165,882,519
arxiv
\section{Introduction \label{sec:intro}} The expansion of the matter formed in relativistic heavy-ion collisions generates a collective transverse flow. The flow velocity field reflects the gradients in the initial density profile of the fireball. The harmonic coefficients of the azimuthal asymmetry of the spectr...
541,165,882,520
arxiv
\section{Introduction} The purpose of the MAGIC Telescope \cite{MAGIC-commissioning} is the observation of high energy gamma radiation from celestial objects. When the gamma quanta hit the earth atmosphere they initiate a cascade of photons, electrons and positrons. The latter radiate short flashes of Cherenkov li...
541,165,882,521
arxiv
\section{Introduction: why hard helices?} \label{sec:introduction} \noindent Crystallization as an ordering phenomenon is neither restricted to molecular systems, nor to attractive interactions \cite{Whitesides02}. Even in the absence of explicit attractive interactions, systems might be spontaneously forming ordered a...
541,165,882,522
arxiv
\section{Introduction} Having control over electron propagation is a key to derive new functionalities of materials. Under a periodic potential, energy-momentum dispersion relation of electrons shows diverse structures: one may have a forbidden energy range as a band gap, or the effective mass can differ from the one i...
541,165,882,523
arxiv
\section{Introduction} Graphic design has gone through many phases throughout history. Over the last century we have seen (among others) expressionism, avant garde, modernism, and post-modernism, followed by what could be called ``contemporary" design. User interface (UI) design can also be seen as consisting of se...
541,165,882,524
arxiv
\section{Introduction} The understanding of renormalization group (RG) flow between two conformal field theories is a central subject in study of quantum field theory \cite{wilson1974renormalization}. In particular, we would like to know how quantities associated with conformal field theory is changed under RG flow. T...
541,165,882,525
arxiv
\section{Introduction} A (proper) $k$-coloring of a graph $G=(V,E)$ is an assignment $\sigma:V \rightarrow \{1, \ldots, k\}$ such that neighboring vertices have different colors. We consider the problem of sampling (almost) uniformly at random from the space of all $k$-colorings of a graph.\footnote{We define precis...
541,165,882,526
arxiv
\section{Introduction and Statement of Results}\label{intro} The classical Mertens' formula states that \begin{equation}\label{Mertens} \prod_{p\le N}\big(1-\frac1p)^{-1}\sim e^\gamma\log N\approx 1.78\log N,\ \text{as}\ N\to\infty, \end{equation} where the product is over all primes $p$ less than or equal to $N$,...
541,165,882,527
arxiv
\section{Introduction} In the Naghdi shell model, the strain energy is a sum of bending, membrane, and transverse shear strain energies. The three strains are expressed in terms of the model primary variables comprising displacement of the shell mid-surface and rotation of normal fibers, in which derivatives and funct...
541,165,882,528
arxiv
\section{Introduction} We study differential inclusions under which a Sobolev mapping $f \in W^{1,p}_{\textnormal{loc}}(\Omega ; \mathbb{R}^n)$ is invertible, at least locally. Here $\Omega \subset \mathbb{R}^n$ is a connected open set, $n \geqslant 2$. A differential inclusion means that the differential matrix $D...
541,165,882,529
arxiv
\section{Homogeneous Chiral Media} The constitutive relations modelling (in the frequency domain) the electromagnetic response of a homogenous and isotropic non-magnetic chiral medium are \begin{eqnarray} \label{chi_const} {\bf{D}}_\omega &=& \varepsilon _0 \varepsilon {\bf{E}}_\omega - \frac{i}{c}\kappa {\bf{H}...
541,165,882,530
arxiv
\section{Introduction} The polaron model was introduced by Fr\"ohlich \cite{F37} as a model of an electron interacting with the quantized optical modes of a polar crystal. It represents a simple and well-studied model of non-relativistic quantum field theory, and we refer to \cite{AD,FLST,GL,JSM,Spohn} for properties...
541,165,882,531
arxiv
\section{Introduction} \label{Introduction} A number of methods have been proposed for ranking the important nodes in a network. One such measure, the betweenness centrality attributes importance to intermediate nodes in a path as these nodes are necessary to retain the flow within the network \cite{brandes2008variant...
541,165,882,532
arxiv
\section{Introduction} The gravitational $N$-body problem refers to the integration of the positions and velocities of a set of $N$ point-particles forward or backward in time using Newton's equations, after specifying their masses and initial phase-space coordinates. The solution of the $N$-body problem can be put t...
541,165,882,533
arxiv
\section{Introduction} \label{sec:1} In this paper we will present a method to compute the inverse Mellin transform of holonomic sequences and related to it we will revisit a method from~\cite{Ablinger:2014} to compute the Mellin transform of holonomic functions. We emphasize that these methods are implemented in the c...
541,165,882,534
arxiv
\section{Introduction} The last decade has seen a massive influx of deep learning-based technologies that have tackled problems which were once thought to be unsolvable. Much of this progress can be attributed to Convolutional Neural Networks (CNNs)~\cite{cnn, cnn_imagenet} which are now deployed in a plethora of appl...
541,165,882,535
arxiv
\section{Introduction} The r-process, or the rapid neutron-capture process, of stellar nucleosynthesis is invoked to explain the production of the stable (and some long-lived radioactive) neutron-rich nuclides heavier than iron that are observed in stars of various metallicities, as well as in the solar system (for ...
541,165,882,536
arxiv
\section{Introduction} The synchrotron spectra observed from shell-type supernova remnants (SNR) are conventionally interpreted as being produced by electrons that have been accelerated at the forward shock and possibly the reverse shock \citep{2008ARA&A..46...89R} through a process known as diffusive shock acceleratio...
541,165,882,537
arxiv
\section{Introduction} \label{intro} Let $n \geq 2$, and write $\|\ \|$ for the Euclidean norm on ${\mathbb R}^n$. Let $L \subset {\mathbb R}^n$ be a lattice of rank $n$, and define its {\it minimum} to be $$|L| := \min \left\{ \|{\boldsymbol x}\| : {\boldsymbol x} \in L \setminus \{ {\boldsymbol 0} \} \right\}.$$ The...
541,165,882,538
arxiv
\section{Multi-Label Classification and Libraries} Multi-Label Classification (MLC), a problem which allows an instance to have more than one label at the same time, becomes popular since the problem fits real applications more than traditional single-label classification. Since combinations of labels must be consi...
541,165,882,539
arxiv
\section{Introduction} Since \textit{BERT} \citep{devlin2018bert} has been introduced, Transformer \citep{vaswani2017attention}-based pretrained language models have dominated the Natural Language Understanding (NLU) field. Transformer models have provided unprecedented accuracy improvement compared to traditional mo...
541,165,882,540
arxiv
\section{Introduction} \label{s:introduction} Theories with supersymmetry (SUSY) have been very attractive to theoretical physicists because they solve the problem of taming the quadratic divergences associated with mass renormalization of scalar fields~\cite{ref:WessBagger92}. This cancellation of mass corrections wh...
541,165,882,541
arxiv
\section{Introduction} We consider the problem of resource allocation in the downlink of a sectorized two-cell OFDMA system with incomplete Channel State Information (CSI) at the Base Station (BS) side. In principle, performing resource allocation for cellular OFDMA systems requires to solve the problem of power and s...
541,165,882,542
arxiv
\section*{\huge Supplementary Information} \vspace{2em} \maketitle \thispagestyle{empty} \setcounter{figure}{0} \setcounter{table}{0} \renewcommand{\thefigure}{S\arabic{figure}} \renewcommand{\thetable}{S\arabic{table}} \section{Data} \subsection{Data collection and curation} \textbf{Drugs and targets.} Dat...
541,165,882,543
arxiv
\section{Acknowledgements} \vspace*{2ex} \noindent{\bf Acknowledgements} \vspace*{2ex} \noindent The authors wish to thank R.~Kellogg and D.~Strom, of the {\tt OPAL} collaboration for several stimulating and fruitful discussions and for having provided the specifications of the {\tt OPAL} reference ES of table \ref{m...
541,165,882,544
arxiv
\section{Introduction} Since the mid-eighties \cite{Candelas:1985en} string compactifications to four space-time dimensions on compact Calabi-Yau (CY) manifolds have been under intense investigation. This has led to not only a better understanding of the space of possible string models, these days called the string ...
541,165,882,545
arxiv
\section{Introduction} Since the discovery of superconductivity in the iron-based pnictides \cite{Kamihara}, extensive experimental and theoretical studies have revealed their unusual properties as well as their similarities and differences with the cuprate superconductors \cite{Rotter,Cruz,Ding,Borisenko,Brouet,Mazin...
541,165,882,546
arxiv
\section*{Abstract} LASSi is a tool aimed at analyzing application usage and contention caused by use of shared resources (filesystem or network) in a HPC system. LASSi was initially developed to support the ARCHER system where there are large variations in application requirements and occasional user complaints rega...
541,165,882,547
arxiv
\section{Introduction} Data generation, that is the task of generating new realistic samples given a set of training data, is a fascinating problem of AI, with many relevant applications in different areas, spanning from computer vision, to natural language processing and medicine. Due to the curse of dimensio...
541,165,882,548
arxiv
\section{Introduction} Dozens of circumstellar disks have been successfully resolved in scattered light using high-contrast imaging techniques on large, ground-based telescopes or the Hubble Space Telescope (HST)\footnote{Examples are collected at http://www.circumstellardisks.org/}. A particular powerful technique is ...
541,165,882,549
arxiv
\section{Comparison to GKKM's PQ-learning}\label{sec:PQcomparison} The ``PQ learning'' binary classification model of GKKM is different than Chow's model of learning with a fixed cost $\alpha$ of abstention. In this section, we point out how our algorithm can be used to achieve PQ learning bounds (in expectation) that ...
541,165,882,550
arxiv
\section{Introduction} Interconnecting everything is envisioned for the Internet of Things (IoT) \cite{a0}. Both the IoT itself and its role as a technological catalyst to stimulate innovation in other industries can better satisfy communication needs from individuals to industries \cite{a1}. However, it also incur...
541,165,882,551
arxiv
\section{Introduction} The Sr$_2$RuO$_4$-Ru eutectic system, in which Ru lamellae are regularly embedded with a stripe pattern in a Sr$_2$RuO$_4$ single crystal, is fascinating because the superconducting transition temperature $T_\mathrm{c}$ is largely enhanced over those of Sr$_2$RuO$_4$ and Ru. Pure Sr$_2$RuO$_4$ e...
541,165,882,552
arxiv
\section{Introduction} Absence of flavour changing neutral currents at the tree level within the standard model (SM) makes them very sensitive to quantum corrections due to heavy particles in the loops. Rare decays, both inclusive and exclusive, of the type $b \to s \gamma$, $b \to s g$ and $b \to s \ell^+\ell^-$ are ...
541,165,882,553
arxiv
\section{\@startsection{section}{1}{\z@}{3.5ex plus 1ex minus .2ex}{2.3ex plus .2ex}{\LARGE\bf}} \def\subsection{\@startsection{subsection}{1}{\z@}{3.5ex plus 1ex minus .2ex}{2.3ex plus .2ex}{\Large\bf}} \def\subsubsection{\@startsection{subsubsection}{1}{\z@}{3.5ex plus 1ex minus .2ex}{2.3ex plus .2ex}{\large...
541,165,882,554
arxiv
\section*{Introduction} Quantum states are usually described in terms of wave functions \cite{schr} (for pure states) or by means of the density matrix \cite{landau}, \cite{vonneuman} (for mixed states). Nonetheless, since the beginning of quantum mechanics there have been attempts of understanding the notion of quant...
541,165,882,555
arxiv
\section{Introduction} \paragraph{} Motor control requires building internal models of the muscles-body system \citep{conant_every_1970,pouget_computational_2000,wolpert_computational_2000,lalazar_neural_2008}. The brain possibly uses random movements during pre-natal \citep{khazipov_early_2004} and post-natal deve...