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541,165,881,456
arxiv
\section{Definitions and main results} \subsection{The majority process} Consider a graph $\mathcal{G}$ with vertex set $\mathcal{V}$, and edge set $\mathcal{E}$. In the following, we shall denote by $\partial i$ the set of neighbors of $i\in\mathcal{V}$, and assume $|\partial i|<\infty$ (i.e. $\mathcal{G}$ is local...
541,165,881,457
arxiv
\section{Introduction} Conformal invariants and conformally invariant metrics have been some of the key notions of geometric function theory and of quasiconformal mapping theory for several decades. One of the modern trends is to extend this theory to Euclidean spaces of higher dimension or to more general metric...
541,165,881,458
arxiv
\section{\label{sec:intro}Introduction} The study of distances and metrics between quantum states is a topic of permanent interest, which has been lately rekindled on account of problems emerging in quantum information theory (QIT) \cite{Nielsen}. Distances are used as measure of distinguishability between quantum stat...
541,165,881,459
arxiv
\subsection{Experimental Settings} \subsubsection{Datasets} Jure Leskovec \emph{et al.}~\cite{snapnets} collected and categorized a variety of {\it Amazon} products and built several datasets\footnote{http://snap.stanford.edu/data/amazon/productGraph/categoryFiles} including ratings, descriptions, and reviews. We eval...
541,165,881,460
arxiv
\section{Introduction} In the ever growing arena of renewable energy and photo-catalysis, Titanium Dioxide (\ce{TiO2}) is one of the most widely explored metal-oxides owing to its charge transport and oxidation properties along with its abundance, non-toxicity, and corrosion resistance. \ce{TiO2} finds promising applic...
541,165,881,461
arxiv
\section{The two approaches}\label{s:approach} \riccardo{sostituire completamente questa sezione e la prossima con il capitolo 5 della tesi. Il lavoro che ho fatto sulla tesi era mirato ad avere qualcosa da trasportare direttamente nell'articolo. Bisogna solo 1) tagliare approfondimenti inutili, tipo l'esempio di conf...
541,165,881,462
arxiv
\section{Introduction} \label{sec:intro} Modeling the 3D geometry of objects is an open research problem in computer vision. 3D shape reconstruction enables machines to perceive the 3D world. Given 2D RGB inputs, predicting the 3D shape of objects looks natural to humans but quite challenging to machines. The key probl...
541,165,881,463
arxiv
\section{Introduction} This article is concerned with the statistical analysis of nonlinear inverse problems modelled on parameter spaces $\Theta\subset \R^D$ ($D\in \N$). For {\it mildly ill-posed} problems, recent years have seen great progress in establishing theoretical guarantees for estimation and uncertainty qua...
541,165,881,464
arxiv
\section{Introduction} WIMPs captured by the gravitational field of the Sun that are slowed through collisions with solar matter can accumulate in the solar core. There, WIMP annihilation may produce neutrinos with much larger energy than solar neutrinos. The signal would be an excess of high-energy ($>0.5$\,GeV) neut...
541,165,881,465
arxiv
\section{Introduction}\label{sec.intro} The distinctive behavior of deposited nano-systems is, mostly due to their large surface-to-volume ratio, often different from that of their constituent parts and from that of the bulk material.\cite{ferrando} Understanding the diffusion mechanisms and the frictional properties ...
541,165,881,466
arxiv
\section{Introduction} Optical frequency combs \cite{udem2002} with equidistant separation and locked phases between the comb lines which serve as a ruler in the frequency domain, have revolutionized spectroscopy and metrology. A standard method of producing frequency combs is based on mode-locked lasers generating u...
541,165,881,467
arxiv
\section{Introduction} The behaviour of confined nematics is a problem of great fundamental and practical interest. Nematic materials exhibit strong responses to even subtle external or surface fields, which are used in various technological applications. In general, confinement into a narrow planar slit pore...
541,165,881,468
arxiv
\section{Introduction} Interactions between turbulent convection and magnetic field at the photospheric layers play central roles in structuring and driving varied forms of dynamical phenomena in the atmospheric layers above, and hence in the energetics (see, {\it e.g.} \citet{Nordlund2009} and references therei...
541,165,881,469
arxiv
\section{Introduction} Semantic segmentation assigns all pixels in an image to semantic classes; it gives finely-detailed pixel-level information to visual data and can build a valuable module for higher-level applications such as image answering, event detection, and autonomous driving. Conventional semantic segmenta...
541,165,881,470
arxiv
\section{Introduction} Let $S$ be a semigroup and $\alpha$ be a congruence on $S$. Denote \[\alpha ^{(0)}\subseteq \alpha ^{(1)}\subseteq \cdots \subseteq \alpha ^{(n)}\subseteq \cdots\] the sequence of congruences on $S$, where $\alpha ^{(0)}=\alpha$ and, for an arbitrary non-negative integer $n$, $\alpha ^{(n+...
541,165,881,471
arxiv
\section{Introduction} \label{intro} Relativistic viscous hydrodynamics \cite{Jeon:2015dfa} is remarkably successful at describing measurements performed at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). One feature present in heavy ion collisions, yet absent from current hydrodynamic s...
541,165,881,472
arxiv
\section{Introduction} Recently a lot of work has been done to study states with non$-$Gaussian quadrature space distribution, which find numerous applications in quantum information processing. Experiments have been conducted to produce non$-$Gaussian states using techniques like homodyne detection from a single mode...
541,165,881,473
arxiv
\section{Introduction}\label{sec:1} The sixth generation (6G) wireless systems have recently attracted considerable attention from both industry and academia, whose visions are towards ubiquitous 3D coverage (space-air-ground-sea integrated network) \cite{hongzhi22sags}, the intelligent and green networks \cite{bomin22...
541,165,881,474
arxiv
\section{Introduction} In this paper we develop an algebraic approach to data integration by combining techniques from functional programming, category theory, and database theory. By {\it data integration} we mean combining separate but related database schemas and instances to form a coherent, unified schema and in...
541,165,881,475
arxiv
\section{Introduction} \label{sec:intro} Neutron stars (NSs) are one of the possible compact remnants that can be produced as a result of the gravitational collapse of a massive super-giant star. The observations made over the electromagnetic spectrum suggest that NSs are objects with masses between $1$-$2~M_{\odot}$ ...
541,165,881,476
arxiv
\section{Introduction} Due to recent advances in visual capture technology, point clouds have been recognized as a crucial data structure for 3D content. In particular, point clouds are essential for numerous applications such as virtual and mixed reality, sensing for autonomous vehicle navigation, architectu...
541,165,881,477
arxiv
\section{\@startsection {section}{1}{\z@}% {-3.5ex \@plus -1ex \@minus -.2ex}% {2.3ex \@plus.2ex}% {\normalfont\large\bfseries}} \renewcommand\subsection{\@startsection{subsection}{2}{\z@}% ...
541,165,881,478
arxiv
\section{Introduction} Fixed effects models are popular specifications to account for unobserved heterogeneity; for example in labor economics often worker, firm and/or time fixed effects are used, and in trade economics importer-time, exporter-time, and dyadic fixed effects are required to estimate structural grav...
541,165,881,479
arxiv
\section{} \section{Introduction} \label{sec:intro} In recent times, investigation of sessile droplet evaporation has been an interesting area of research owing to its many industrial applications such as inkjet printing, spray cooling, making bioassay etc. To understand heat flow inside an evaporating drop...
541,165,881,480
arxiv
\section{Introduction} The quest for the direct imaging of exoplanets has accelerated in the recent years with the commissioning of extreme adaptive optics systems with coronagraphic capabilities, such as SPHERE \citep{Beuzit2008}, GPI \citep{Macintosh2014} and SCExAO \citep{Jovanovic2015a}. These instruments were de...
541,165,881,481
arxiv
\section{Introduction} In the minimal supersymmetric extension of the standard model~(MSSM), the scale of electroweak symmetry breaking is determined by and is on the order of the scale of soft supersymmetry breaking~\cite{Martin:1997ns}. Similarly, the effective amount of supersymmetry breaking in other sectors of ...
541,165,881,482
arxiv
\section{Introduction} M dwarf stars are the largest stellar group in the solar neighborhood. Also, because of their small masses, the lifetimes of M dwarfs are longer than the age of the Universe, and M dwarfs are composed of the samples of all the populations including very old ones. Unfortunately our understan...
541,165,881,483
arxiv
\subsection{#1} \renewcommand{\thesubsection}{\arabic{section}.\arabic{subsection}} } \setlength{\textwidth}{6.0in} \setlength{\oddsidemargin}{0.25in} \setlength{\evensidemargin}{0.25in} \newenvironment{negpar}{ \begin{list}{}{ \setlength{\leftmargin}{.5in} \setlength{\itemindent}{...
541,165,881,484
arxiv
\section*{ToDo} \begin{enumerate} \item \sout{Spell out the equivariance including gauge group action.} \item \sout{Connected sum formula} \item \sout{General Seifert (in terms of $\bar{\mu}$) $\to$ written in \cref{theo:Seifert cal most general}} Done! \item \sout{Extension of group action (...
541,165,881,485
arxiv
\section{Introduction} Unmanned aerial vehicles (UAVs) communications have attracted significant attention in both military and civilian applications, such as search and rescue, cargo delivery, aerial filming and inspection~\cite{Zeng2016Wireless}. Different from the traditional terrestrial wireless communications, UA...
541,165,881,486
arxiv
\section{Introduction} Strong deformations of thin elastic sheets under the influence of some external force have been a topic of considerable interest in the physics and engineering community over the last decades. These ``post-buckling'' phenomena are relevant on many length scales, e.g., for structural failure, for...
541,165,881,487
arxiv
\section{Simulation of two-site driving scheme} \label{driving_appendix} In the following we describe how the two-site driving protocol for inducing a nonequilibrium NESS in a disordered lattice is implemented, and present details of its numerical simulation. \subsection{Defining target states for energy and spin dri...
541,165,881,488
arxiv
\section{Introduction} The Yang-Baxter equation occurs naturally in the context of statistical mechanics. It is also a natural equation in the context of braid groups where it is a simple identity of two different compositions of braid patterns. The equation in the matrix form has been studied by many authors recently....
541,165,881,489
arxiv
\section{Introduction} Neutral atomic hydrogen (\ion{H}{1}{}) is the dominant component of cool gas in the interstellar medium (ISM) for low-redshift galaxies \citep[e.g.,][]{Saintonge+17}. Although neutral gas is crucial for understanding how galaxies evolve and grow over cosmic timescales, \ion{H}{1}{} is difficult...
541,165,881,490
arxiv
\section{Introduction} \label{sec:intro} The importance of space weather forecast has increased with the growth of our society's dependence on space technology. Currently, in-situ observations at 1~AU from the the Advanced Composition Explorer \cite[ ACE,][]{ACE98}, and global imaging of the Sun by, e.g., the Solar ...
541,165,881,491
arxiv
\section{Introduction} The fundamental algorithm of learning large predictive models is the mini-batch Stochastic Gradient Descent (SGD) \cite{robbins1951stochastic, NIPS2007_0d3180d6} with momentum \cite{polyak1964some}: \begin{align}\label{eq:sgd} \mathbf w_{t+1}=\mathbf w_{t}+\mathbf v_{t+1},\quad \mathbf v_...
541,165,881,492
arxiv
\section{Introduction} The phenomenological advantages of G.U.T. models with quark-lepton unification are well known. For example, the proton decay rate may be suppressed. Also, the existence of a right handed neutrino may account for the missing mass problem in cosmology and provide a mechanism for a light mass left h...
541,165,881,493
arxiv
\section{General setups } We are interested in large systems of points with Coulomb-type interactions, described through an energy of the form \begin{equation} \label{nrj1} \mathcal{H}_N (x_1, \dots, x_N)=\frac{1}{2} \sum_{i\neq j} \mathsf{g}(x_i-x_j) + N \sum_{i=1}^N V(x_i). \end{equation} Here the points $x_i$...
541,165,881,494
arxiv
\section{Introduction} A new generation of wide-field cosmological galaxy surveys will soon map the spatial distribution of hundreds of millions of galaxies over a wide range of redshifts. With these, it will be possible to characterise the expansion history of the Universe and the growth of structures with exquisite ...
541,165,881,495
arxiv
\section{Introduction} A lattice $\mathcal{L} = \mathcal{L}(\vect{b}_1, \ldots, \vect{b}_n) := \{\sum_{i=1}^n z_i \vect{b}_i : z_i \in \mathbb{Z}\}$ is the set of all integer linear combinations of linearly independent vectors $\vect{b}_1,\dots,\vect{b}_n \in \mathbb{R}^m$. We call $n$ the rank of the lattice, $m$ t...
541,165,881,496
arxiv
\section{Introduction} In a recent paper \cite{KLRU}, we introduce Discrete Bidding Combinatorial Games that generalize alternating normal play. All essential structure problems regarding outcomes were resolved. In this paper we study the same families of games, by generalizing standard game comparison techniques from...
541,165,881,497
arxiv
\section*{Introduction} Beilinson, Bernstein and Deligne~\cite{BBD} showed how a triangulated category $\mathcal{D}$ may be equipped with additional structure - a $t$-structure - that gives rise to a subcategory $\mathcal{H}_t$ of $\mathcal{D}$ - the heart of the $t$-structure - on which the triangulated structure ...
541,165,881,498
arxiv
\section{Introduction} More than ten years ago, under the supervision of Duco van Straten in Mainz, I wrote my doctoral thesis, which finally made it into book form [0]. Shortly afterwards, I left academia for rocket science\footnote{That's how they describe what mathematicians are doing at banks.}\textsuperscript{,...
541,165,881,499
arxiv
\section{\textbf{Introducci\'{o}n }} Some time ago was extended the standard geometric framework of Einstein gravity by gauging the Maxwell algebra \cite{azcarr}, \cite{azcarr1} which led to a generalized cosmological term that includes a contribution from the six four-vector fields $k_{\mu }^{ab}$ which introduc...
541,165,881,500
arxiv
\section{Introduction} Wear is a phenomenon occurring at a wide range of length scales. It manifests itself at sliding geological faults\cite{scholzWearGougeFormation1987,rechesGougeFormationDynamic2005}, creating a third-body layer (also called gouge) which directly influences the frictional properties of the inter...
541,165,881,501
arxiv
\section{Introduction} The classical lattice gas model (equivalent with the $S=1/2$ Ising model) is useful effective model for description of adsorbed particles on crystalline substrates (cf. pioneering works on the triangular lattice~\cite{HoutappelPhys1950A,HoutappelPhys1950B,CampbellPRA1972,KaburagiJJAP1974,Metcal...
541,165,881,502
arxiv
\section{Motivation} In perturbative QCD (pQCD), the running coupling $a(Q^2) \equiv \alpha_s(Q^2)/\pi$ as a function of $Q^2 \equiv - q^2$ has Landau singularities, i.e., singularities outside the negative semiaxis in the complex $Q^2$-plane, in most renormalization schemes, including $\overline{\rm MS}$ and related s...
541,165,881,503
arxiv
\section{Introduction} Online advertisement (AD) is the main source of revenue for Internet business. After years of evolution, the mechanism of AD has changed from the pre-allocated style to keyword-based matching of \textit{Sponsored (or paid) search}. Sponsored search such as Google AdWords and Bing's Paid Search, i...
541,165,881,504
arxiv
\section{Acknowledgements} We thank CERN for the very successful operation of the LHC, as well as the support staff from our institutions without whom ATLAS could not be operated efficiently. We acknowledge the support of ANPCyT, Argentina; YerPhI, Armenia; ARC, Australia; BMWF, Austria; ANAS, Azerbaijan; SSTC, Bel...
541,165,881,505
arxiv
\section{INTRODUCTION} Knowledge on the density dependence of the symmetry energy is crucial to understand the structure of exotic nuclei, dynamics of heavy-ion collisions, and many important issues in nuclear astrophysics such as neutron star cooling and supernova explosive \cite{liba2008,VBaran2005,JM.Lattimer...
541,165,881,506
arxiv
\section{Introduction} The ever-increasing popularity of smart mobile devices and applications has given rise to the substantial growth in wireless traffic \cite{LY15,MYL04}. Researchers in both academia and industry make great efforts to increase the network capacity by employing sophisticated techniques, e.g., en...
541,165,881,507
arxiv
\section{Introduction} Linear transmit precoding has been recognized as an important technique for capacity improvement {and} low implementation complexity. Considering a transmit design for system utility maximization in a single-cell multiuser multiple-input single-output (MISO) wireless system, several works have f...
541,165,881,508
arxiv
\section{Introduction} The fate of a massive star is determined by its initial mass, composition, and mass loss over its life (which is still poorly understood). The explosion mechanism and remnant properties is mainly determined by the helium core mass when the star dies. \citet{kudri2002} suggests that the mass l...
541,165,881,509
arxiv
\section{Introduction}\label{introduction} Human fertility is a complicated, dynamic process that is influenced by a wide range of biological, social and economic factors as diverse as changes in social norms around female education and employment; the availability and cost of childcare; and wider trends in wages, dis...
541,165,881,510
arxiv
\section{Introduction} Cell search is a critical prerequisite to establish an initial connection between a cellular user and the cellular network. Specifically, the users will detect their neighboring BSs and make the cell selection decision during a downlink cell search phase, after which the users can acquire connect...
541,165,881,511
arxiv
\section{Introduction} The effective chiral Lagrangian formalism which has proved successful in explaining the properties of meson-meson interaction at low energies \cite{Ga85,Mei93,Pi95} has also proved to be an idoneous tool to study low energy properties of the meson-baryon interaction \cite{Eck95,Be95}. The s-wave...
541,165,881,512
arxiv
\section{Introduction} It is often the case where understanding and solving a problem means discovering the \textit{combinatorics} at the heart of the problem. Equally time and again it happens that the crucial step towards the economical solution of problems arising in different areas hinges on the efficient constr...
541,165,881,513
arxiv
\section*{\bibname}% \@mkboth{\MakeUppercase\bibname}{\MakeUppercase\bibname}% \list{\@biblabel{\@arabic\c@enumiv}}% {\settowidth\labelwidth{\@biblabel{#1}}% \leftmargin\labelwidth \advance\leftmargin\labelsep \@openbib@code \usecounter{enumiv}% ...
541,165,881,514
arxiv
\section*{Introduction} The formation and rheological properties of glassy materials have been of great interest to the scientific community for many decades~\cite{berthier2011theoretical}. The relation between the viscosity of glass-forming materials and temperature can be divided into two main trends: the so-called ...
541,165,881,515
arxiv
\section{Introduction} \label{sec:intro} We live in a revolutionary time when quantum control of microscopic processes in matter is possible. Our increasing ability to control atoms and molecules is driven by rapid advances of laser light sources and there are currently several frontiers in laser-matter applications. ...
541,165,881,516
arxiv
\section*{Introduction.} This paper is a sequel to \cite{PartI}, where we laid the foundations to a program for studying mirror symmetry using logarithmic geometry. This program can be viewed as an algebro-geometric version of the Strominger-Yau-Zaslow (SYZ) program \cite{SYZ}, and gives a way of passing via affine g...
541,165,881,517
arxiv
\section{Introduction} Achieving full control over quantum many-body systems is of significant importance in both fundamental science and possible applications~\cite{Lukin2014}. Remarkable progress in experiments with atomic and molecular gases in degenerate regimes makes them a perfect playground for revealing novel...
541,165,881,518
arxiv
\section{\label{Sec:Introduction} Introduction} \section{Introduction} Molecular magnets (MM) are molecular structures with a large effective spin ($S$), e.g. for the prototypical MM $Mn_{12}$ acetates \cite{1j} $S=10$. MM show a number of interesting phenomena that have been in the focus of theoretical and ...
541,165,881,519
arxiv
\section*{Introduction} \noindent Given a chain complex, it is natural to ask whether it has a ``smallest'' subcomplex of the same homotopy type, as such a subcomplex would carry all pertinent information of the ambient complex without homotopic redundancy. Initiated by Eilenberg and Zilber \cite{SElJAZ50} in the cont...
541,165,881,520
arxiv
\section*{\centering #1}} \printbibliography \endgroup \end{document} \section{Conclusion} In this paper, we propose a novel method Ada-SiT for learning predictive models for diverse tasks with insufficient data. Ada-SiT has a new task similarity measurement method and a new knowledge-sharing schema, where the shared ...
541,165,881,521
arxiv
\section{Introduction} \label{intro} The question on whether a formally Hermitian operator is or it is not self adjoint has been completely solved by mathematicians decades ago. A very interesting presentation of this question from the physicists point of view is given in a paper by Bonneau, Faraut and Valent \cite{BF...
541,165,881,522
arxiv
\section{Introduction} Pre-trained Language Models (PLMs) learn effective context representations with self-supervised tasks, spotlighting in various NLP tasks \citep{DBLP:conf/aaai/WangKMYTACFMMW19,DBLP:conf/acl/NanGSL20, DBLP:conf/acl/LiuGFYCJLD20}. In addition, Knowledge-Enhanced PLMs (KEPLMs) \citep{DBLP:conf/acl/Z...
541,165,881,523
arxiv
\section{Introduction} The layered cobaltates Na$_x$CoO$_2$ are well known for their ionic mobility\cite{Molenda}. Recently, their electronic properties have attracted much interest due to the discovery of superconductivity when water is intercalated\cite{Takada}. The Co ions form a triangular lattice in the CoO$_2$ p...
541,165,881,524
arxiv
\section{Introduction}\setcounter{equation}{0} The AdS/CFT correspondence continues to provide novel perspectives on a wide range of physical problems. Here we just mention two developments, which are of relevance for the present paper. First, there have been interesting proposals to give a non-perturbative definition...
541,165,881,525
arxiv
\section{Flavor of flavor models} Certain features of the leptonic mixing can be considered as an evidence of discrete symmetry. Many different realizations exist \cite{reviews}. However, in spite of a various interesting developments, no convincing model based on discrete symmetries has been proposed so far. The...
541,165,881,526
arxiv
\section{Introduction} \label{sec::intro} Nearly every galaxy is thought to host a supermassive black hole at its centre, which accretes gas and liberates a large fraction of its binding energy in the form of radiation and outflows. Black hole accretion discs in active galactic nuclei often have luminosities close to ...
541,165,881,527
arxiv
\section*{References} \providecommand{\newblock}{}
541,165,881,528
arxiv
\section{Introduction} Quantum confinement in semiconductor nanostructures is currently explored in order to achieve specific functions in the field of nanophotonics, nanoelectronics, nanomagnetism, quantum information, communication and sensing. A prerequisite is to be able to address a single object, for instance to ...
541,165,881,529
arxiv
\section{Introduction}\label{sec:Introduction} What do reported uncertainties actually tell us about the accuracy of scientific measurements and the likelihood that different measurements will disagree? No scientist expects different research studies to always agree, but the frequent failure of published research to be...
541,165,881,530
arxiv
\section{Introduction} Music is classified into genres that share the same style, melody, and culture. Genre is a conceptual tool to classify music and other forms of art \cite{lena2008classification}. According to \newcite{norowi2005factors}, automated music genre classification or music genre recognition (MGR) is to ...
541,165,881,531
arxiv
\section{ $sl_n$-module structure on $U={\bf C}[x_1,\ldots,x_n]$ and $Dif\!f_n(U)$} Endow $U$ by a structure of module over Lie algebra $gl_n=<x_i\partial_j: i,j=1,\ldots,n, i\ne j>.$ Define an action of $gl_n$ on generators of $U$ by $$x_i\partial_j(\partial^{\alpha}(u_s))= -\delta_{i,s}\partial^{\alpha}(u_j)+ \su...
541,165,881,532
arxiv
\section{Introduction} The nucleus $^{193}$Os lies at the neutron-rich side of the stability valley and thus cannot easily be produced in fusion-evaporation reactions with stable beam and target combinations. Spectroscopic information of this nucleus to date comes from neutron capture \cite{ZPhysA.285.405, NuclPhy...
541,165,881,533
arxiv
\section{Introduction} \subsection{Signal Processing on Graph} During the past few years, the emerging field of signal processing on graphs (see \cite{shuman_emerging_2013,sandryhaila_discrete_2013}) has attracted vast research interests from multiple disciplines. Consider an $N$-vertex undirected graph, denoted as $\...
541,165,881,534
arxiv
\section*{Abstract} A mathematical model of Zika virus transmission incorporating human movement between rural areas and nearby forests is presented to investigate the role of human movement in the spread of Zika virus infections in human and mosquito populations. Proportions of both susceptible and infected humans...
541,165,881,535
arxiv
\section{Introduction} Quantum theory is a normative set of rules whose explanatory power finds no counterpart in classical theories~\cite{Bell66,Bell64,JL16}. As a framework adapted to deal with probabilistic descriptions of microscopical phenomena, quantum theory generalises, and includes, the whole set of classical ...
541,165,881,536
arxiv
\subsection{Comparison with an Open-Loop 6D Grasping Baseline} \subsection{Closed-Loop 6D Grasping of Moving Objects in Simulation} In this experiment, we move the target in simulation by continually resetting its pose in the first $12$ environment steps. We perturb the object pose on a table with uniform tran...
541,165,881,537
arxiv
\section{Introduction} A well known result of Solovay~\cite{Sol:SCCG} is that $\square_\alpha$ must fail for all $\alpha$ greater than or equal to a supercompact cardinal $\kappa$. Gregory improved the result, showing that strongly compact $\kappa$ sufficed, and Jensen refined it, showing that if $\kappa$ is merely su...
541,165,881,538
arxiv
\section{Introduction} Registration aims to match two or more sets of image data altered by geometric transforms, taken at different times, or from different sensors. Point set representing image data is commonly employed in computer vision. The associated point-set matching (registration) problem is to establish...
541,165,881,539
arxiv
\section{Introduction} Code Switching (CS) is a phenomenon that occurs when multilingual speakers alternate between more than one language or dialect. This phenomenon can be observed in different linguistic levels of representation for different language pairs: phonological, morphological, lexical, syntactic, semantic...
541,165,881,540
arxiv
\section{Introduction} Though quantum mechanics is extremely successful in making experimental predictions it has proved unusually difficult to understand or interpret, to the extent that the interpretation of quantum mechanics has become a field of research in itself. While an instrumentalist approach evades these pr...
541,165,881,541
arxiv
\section{Conclusion} \label{sec:conc} We presented a new approach for link prediction in undirected graphs that relies on using the distribution of $k$-motifs that a pair of nodes appears in to predict whether a link exists between these two nodes. We use $k \in \{3, 4, 5\}$, which distinguishes our approach from prio...
541,165,881,542
arxiv
\section{Introduction} Nowadays it is widely accepted by the high energy physics community that the search for a unified theory seems to require additional spacetime dimensions. In five dimensions, if one follows the basic principles of General Relativity, the most general theory of gravity leading to second order fie...
541,165,881,543
arxiv
\section{Introduction} There is currently significant interest in MHD waves in the solar atmosphere and whether they transport enough energy to play a significant role in solar atmospheric heating and the acceleration of the solar wind (see, e.g., the following reviews and references within, \citealp{NARULM1996}, \ci...
541,165,881,544
arxiv
\section{Introduction} \label{sec:introduction} \input{sections/1-introduction} \section{Current Regulatory Framework} \label{sec:current_framework} \input{sections/2-regulatoryframework} \section{Common Rule and ML Research} \label{sec:examples} \input{sections/3-nlpexamples} \section{Discussion} \label{sec:discuss...
541,165,881,545
arxiv
\section{Introduction}\label{sec:intro} Learning sequential decision policies from observational off-policy data is an important problem in settings where exploration is limited and simulation is unreliable. A key application is reinforcement learning (RL) for healthcare \citep{gottesman2019guidelines}. In such setti...
541,165,881,546
arxiv
\section{Introduction} \IEEEPARstart{P}{oint} clouds, captured by 3D sensors like LiDAR and Kinect, have become one of the most popular representations for depicting object surfaces and modeling 3D shapes. Its impressive performance has been witnessed in various applications (\textit{e}.\textit{g}., robotics, im...
541,165,881,547
arxiv
\section{Introduction} \indent Since the introduction of the two-parameter Discrete Generalized Beta Distribution (DGBD) (or Beta-like Rank Function or Cocho Rank Function) \cite{mansilla,gustavo}, a wide range of real-life data have been successfully fitted by this function \cite{egghe,campanario,wli-entropy,peterse...
541,165,881,548
arxiv
\section{Introduction} The \emph{real Jacobian conjecture} claims that a polynomial local diffeomorphism $F = (p,q): \mathbb{R}^2 \to \mathbb{R}^2$ must be injective. It was proved false by means of a class of counterexamples, the \emph{Pinchuk maps}, constructed by Pinchuk [4]. A Pinchuk map $F = (p,q)$ is such that ...
541,165,881,549
arxiv
\section{Introduction} We have today considerable independent evidence for an existence of large-scale structures in matter distribution stretching from tens of megaparsecs up to a typical scale $l_{LS}\sim 100-150h^{-1} Mpc$ (unless otherwise stated we assume $H_0=100h\ km/s/Mpc$, $\Omega_0=1$ and $\Lambda=0$, all s...
541,165,881,550
arxiv
\section{Introduction} A projective algebraic variety \(X\) with an ample anti-canonical divisor class \(-K_X\) is called a Fano variety. The Fano index \(i\) is the largest integer such that \(-K_{X}=iD\), for some ample divisor \(D\) on \(X\). Fano varieties are one of the central topics of research in algebraic ...
541,165,881,551
arxiv
\section{Introduction} \label{sec:intro} Drug design is a crucial step in the drug discovery cycle, which is the inventive process of finding new drugs based on a biological target~(usually a protein pocket) \cite{pocket,ShitongLuo,mss}. However, seeking appropriate drugs for a particular target is quite challenging d...
541,165,881,552
arxiv
\section{Introduction} Matter couplings in low energy effective actions of string compactifications generically depend on scalar fields, such as the moduli. An important example of such a scalar field dependence is provided by non-minimal kinetic terms for gauge fields\footnote{We use the non-Abelian field strength $ ...
541,165,881,553
arxiv
\section{Introduction} Solvable models play an important role in our understanding of quantum systems because they often allow us to describe their properties through tools which are simplified but better accessible mathematically. This applies, in particular, to the so-called leaky quantum graphs and similar struct...
541,165,881,554
arxiv
\section{Introduction} Topological order is a new kind of order that cannot be described by Landau's symmetry breaking paradigm. Properties of these exotic phases include a ground state degeneracy that depends on the manifold, anyonic statistics, and long range entanglement.\cite{Kitaev2003,Levin2005,Kitaev2006,Levin20...
541,165,881,555
arxiv
\section{Introduction} Heavy-flavour (HF) hadrons and their decay products (electrons and muons) arising from parent charm and beauty quarks are among the best probes of the medium formed in relativistic heavy-ion collisions. Due to their large mass heavy quarks (HQ's) arise from hard scattering processes occurring ver...