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3,212,635,539,006
arxiv
\section{Contextuality scenarios} We define a \emph{contextuality scenario} to be a hypergraph $H = (V,E)$ whose vertices $v \in V$ correspond to the events of the scenario, and the hyperedges $e = \{v_1, \cdots, v_k\} \in E$ are subsets of $V$ that should be thought of as the measurements of the scenario. We demand ...
3,212,635,539,007
arxiv
\section{Introduction} A geometric transition between a pair of smooth varieties is the process of deforming the first variety to a singular one and then obtaining the second one by resolving the singularities. The first variety is called a smoothing and the second one a resolution. In \cite{morrison-look}, Morrison c...
3,212,635,539,008
arxiv
\section{introduction} Interest in the electromagnetic production of strangeness from few nucleon targets, such as the proton and the deuteron, dates back to the 1960's \cite{thom,renard,early}, but it is comparatively recently that high quality data, suitable for quantitatively testing theoretical models, has beco...
3,212,635,539,009
arxiv
\section{Introduction} {\it Kepler} observations of short orbital period dwarf novae (below the ``period gap'') have given us for the first time clear evidence for the presence of embedded precursors, or ``failed'' outbursts, at the beginning of superoutbursts of SU UMa systems (Cannizzo et al. ...
3,212,635,539,010
arxiv
\section{Introduction} Let $p$ be a fixed prime number and $q=p^s$ a fixed $p$-power, where $s\geq1$. For a profinite group $G$, let $H^*(G)=\bigoplus_{i=0}^\infty H^i(G,\dbZ/q)$ be the cohomology (graded) ring with the trivial action of $G$ on $\dbZ/q$. We will be mostly interested in the case where $G=G_F$ is th...
3,212,635,539,011
arxiv
\section{Introduction}\label{sec:intro} A detailed understanding of the stellar populations (SPs) that make up the integrated spectral energy distributions (SEDs) of both local and distant galaxies can provide important constraints for models of galaxy formation. However, confronting observations with SP synthesis mo...
3,212,635,539,012
arxiv
\section{Introduction} Chirality - a geometric property in which an object is non-superimposable with its mirror image - is an essential condition for the structural and functional diversity of biomolecules and many chemical compounds, which can exist in right- and left-handed forms known as enantiomers. Their function...
3,212,635,539,013
arxiv
\section{Introduction} The last two decades since the inception of the III-nitride based blue light emitting diodes (LEDs) \cite{Nakamura:1993_APL,Nakamura:1994_JVSTA}, have witnessed the emergence of III-nitrides as prominent material systems in state-of-the-art semiconductor technology \cite{Gutt:2012_APE, Morkoc:...
3,212,635,539,014
arxiv
\section{Introduction} Mrk~231, also known as UGC 08058 and IRAS 12540+5708 at a redshift $z = 0.042$ \citep{1991rc3..book.....D}, is a relatively nearby ultra-luminous infrared galaxy (ULIRG) \citep{1988ApJ...325...74S}. Discovery of strong hydroxyl (OH) megamasers in this galaxy supports an extreme starburst in t...
3,212,635,539,015
arxiv
\section*{Introduction} In many state of the art experiments, a subject, such as a rat or a monkey, performs a behavioral task while the activity of tens to hundreds of neurons in the animal's brain is monitored using electrophysiological or imaging techniques. The common goal of these studies is to relate the externa...
3,212,635,539,016
arxiv
\section{Introduction} Keyword spotting, or in the context of voice assistants such as Alexa, \emph{wakeword detection}, is the act of detecting the presence of a certain phrase in a stream of audio. This is an important problem with applications in a variety of acoustic environments, varying from dedicated devices s...
3,212,635,539,017
arxiv
\section{Introduction} Let $M$ be a compact Riemannian manifold with boundary. For $x,y\in M$, we denote by $d_M(x,y)$ the Riemannian distance between $x$ and $y$, that is the length of a shortest curve connecting $x$ and~$y$. The \textit{boundary distance function}, denoted by $bd_M$, is the restriction of $d_M$ to $...
3,212,635,539,018
arxiv
\section{Introduction} The powerful radio galaxy 4C\,41.17 at $\rm z=\rm 3.8$ with a far-infrared (FIR) luminosity of $\rm L_{\rm FIR}\sim\rm 10^{13}\ L_{\odot}$ is the site of an enormous starburst event in the distant Universe \citep[\eg][]{eal93,gra94}, an interpretation put forth since its discove...
3,212,635,539,019
arxiv
\section{Comparing with STE} \label{sec:comparing} In this section we compare STE with GSTE. The purpose is to make the relationship between STE and GSTE model checking clear. The following proposition states that if a closure function satisfies an assertion graph, it simply satisfies all STE-assertions in the ass...
3,212,635,539,020
arxiv
\section{Introduction} \label{sec:intro} Astrophysical observations tell us that the baryonic matter only contributes about 5\% of the energy density of the current universe; more than 80\% of the matter content consists of unknown dark matter (DM) particles \cite{Akrami:2018vks}. To investigate the particle n...
3,212,635,539,021
arxiv
\section{Introduction} The molecular Schr\"odinger's equation, which is a many-body eigenvalue problem, is a fundamental problem to solve in quantum chemistry. Because the eigenfunction to be determined is a function of $3N$ spatial variables, where $N$ is the number of electrons in a molecule, a brute force approach ...
3,212,635,539,022
arxiv
\section{Introduction} Quantum field theory (QFT) represents an important tool to study critical phenomena for different physical systems. Critical phenomena is thus offering an indirect experimental test to the validity of QFT. The idea stems from the universal phenomena where a number of different systems can s...
3,212,635,539,023
arxiv
\section{Introduction} The dimensionality of images has been tremendously increased in recent years due to the improvement of hardware. In order to further post-process such large-scale data in a distributed parallel or memory-constrained setting, decomposition methods may be used, which split the original prob...
3,212,635,539,024
arxiv
\section{Introduction} Nowadays, for both companies and persons, time management is something crucial. Community pharmacies are an important pillar of the national health system and are a privileged point of contact with patients. However, this contact is sometimes subject to long queues, especially during periods of...
3,212,635,539,025
arxiv
\section{Introduction} \label{sec:intro} Many extensions of the standard model (SM) predict the existence of neutral, weakly coupled particles with long proper lifetimes. These long-lived particles (LLPs) naturally arise in supersymmetry (SUSY), \eg, in models with gauge-mediated SUSY breaking (GMSB)~\cite{GIUDICE19994...
3,212,635,539,026
arxiv
\section{Introduction} Following pioneering work by \citet[][]{1988ApJ...330..634I}, \citet{1991ApJ...376..404B} and \citet[][]{1997AJ....114..635D}, a number of recent works \citep[e.g.][]{2015ApJ...798L..45V,2015ApJ...807L...2K,2015ApJ...809L..21M,2016A&A...590A..20V}, using deep imaging of nearby clusters, have fo...
3,212,635,539,027
arxiv
\section*{Introduction} The effects of friction on barrier crossing events, with a rich history \cite{Berne1988,Hanggi90RMP}, have also been used to obtain insights into the dynamics and folding of proteins. For example, in a pioneering study, Eaton and co-workers established that accounting for the internal friction ...
3,212,635,539,028
arxiv
\section{Introduction} The classical Perron-Frobenius theory concerns the spectral properties of square nonnegative matrices. In recent decades this theory has been extended to a variety of nonlinear maps that preserve a partial ordering induced by a cone (see \cite{LNBook} and the references therein for an up-to-date...
3,212,635,539,029
arxiv
\section{Introduction} Macroscopic quantum tunneling is a fascinating manifestation of quantum-mechanical behavior in large-scale systems with many degrees of freedom. It is responsible for a finite life time of a metastable state that cannot decay classically by thermal activation at zero temperature. Since 1980-ies, ...
3,212,635,539,030
arxiv
\section{Introduction} \subsection{General Remarks and Motivation} \label{sec.intro} For nearly two decades the study of the quantum Hall effect has been one of the most productive fields of condensed matter physics.\cite{QHrev1,QHrev2,Chak,QHrev3,Das} Recently, quantum Hall systems with additional degrees of freedom...
3,212,635,539,031
arxiv
\section{Introduction} Soft colloids have recently attracted great attention both in fundamental studies and applications thanks to the peculiarity of their particles to be deformable, elastic and potentially interpenetrable, providing a very rich phenomenology \cite{MattssonNature2009, LikosSM2006, BerthierRMP2011, B...
3,212,635,539,032
arxiv
\section{Introduction}\label{sec:intro} Given a set of datapoints $X=\{\ensuremath{\vec{x}}_1,\ensuremath{\vec{x}}_2,\ldots,\ensuremath{\vec{x}}_N\}\subset\mathbb{R}^n$ (the dataset), the sum of squared errors (SSE) problem is to find $K$ centroids $C=\{\ensuremath{\vec{c}}_1,\ldots,\ensuremath{\vec{c}}_K\}\subset \...
3,212,635,539,033
arxiv
\section{Introduction}\label{sec:introduction} The progress of gravitational-wave astronomy~\cite{abbott2016observation,abbott2017gw170817,abbott2019gwtc,abbott2020gwtc,abbott2020gw190814,abbott2020gw190521} together with the imaging of the shadow of the supermassive black-hole M87*~\cite{event2019first,akiyama2019fir...
3,212,635,539,034
arxiv
\section{Background} In this section we present the problem dataset on demand solves (Section~\ref{subsec:user_experience}) and how we evaluate it. We also describe Aurum, on which we build DoD in Section~\ref{subsec:aurum}. The overall architecture of DoD is shown in \mbox{Fig.\hspace{0.25em}}\ref{fig:arch}. \myp...
3,212,635,539,035
arxiv
\section{Introduction} Simulations of the core-collapse supernova (CCSN) mechanism require a challenging array of input physics, including multidimensional magnetohydrodynamics, detailed neutrino transport, involved microphysics, and general relativistic gravity. Over the roughly six-decade history of computational in...
3,212,635,539,036
arxiv
\section{Introduction}\label{sec1} To accumulate the information of the hadron spectrum will help us to deepen the understanding of nonperturbative Quantum Chromodynamics (QCD). Among the whole hadron spectrum, the bottom baryon family, especially the excitations, remain to be explored further. On May 23 2018, the LHC...
3,212,635,539,037
arxiv
\section{Introduction} McNaughton and Papert~\cite{McNaughton1971} showed that {\em first-order logic\/} describes {\em star-free languages}, a class of regular languages whose syntactic monoid is {\em aperiodic\/}~\cite{Schutzenberger65a}. Restricting the number of alternations of quantifiers in formulae in the pren...
3,212,635,539,038
arxiv
\section{Introduction} Black hole (BH) as one prediction of general relativity supplies a splendid platform for both experimental and theoretical physics. Recently, the Event Horizon Telescope (EHT) observations of the shadows of M87*\cite{Akiyama:2019cqa} and Sgr A*\cite{Akiyama:2022} have supported the existence o...
3,212,635,539,039
arxiv
\section{Introduction} The number of upper-limb amputees in the U.S. has been escalating during the past few decades. From a population of 541,000 in the year 2005, the amputee population is expected to exceed 1 million by the year 2050 \cite{2008_ZieglerGraham}. While many upper-limb prostheses with individually moto...
3,212,635,539,040
arxiv
\section{Introduction} Graphic designers have been producing infographics in a variety of fields, such as advertisement, business presentation, and journalism, \textcolor[rgb]{0, 0, 0}{because of their effectiveness in spreading information~\cite{Harrison2015, Wang2018c}.} To inform data context and engage audience...
3,212,635,539,041
arxiv
\section{Introduction} \label{sec:intro} Algorithmic differentiation (AD) is a set of methods for automatic and exact computation of derivatives given a definition, in source code, of a function to be differentiated. It includes automatic differentiation, where derivatives are forward and/or back propagated through t...
3,212,635,539,042
arxiv
\section{Introduction}\label{secintro} Much is known about fast dynamo action: the rapid growth of magnetic fields at high magnetic Reynolds number in fluid flows with chaotic streamlines, but the mechanisms for the dynamical saturation of such fields remain poorly understood. In many cases when the growing field equi...
3,212,635,539,043
arxiv
\section{Introduction} Four-dimensional gauge theories accurately describe forces of nature. Since solving them is hard, we may revert to studying supersymmetric four-dimensional gauge theories, in which the power of holomorphy lends a helping hand. Twenty years ago, we realised how to solve for the low-energy effect...
3,212,635,539,044
arxiv
\section{Introduction} Robotics has been an area which has seen a lot of growth and development in last 15 years \cite{balasubramanian2009object}. Today, a big part of resources i.e. man power or money etc., allocated for research have been utilized for development in the said discipline as it holds a lot of applicatio...
3,212,635,539,045
arxiv
\section{Introduction} When a galaxy acts as a gravitational lens, its mass can be probed independently via analyses of lensing properties and stellar kinematics. This combination has proved a powerful way of breaking both the mass-sheet degeneracy in lensing and the mass-anisotropy degeneracy in dynamics. It was firs...
3,212,635,539,046
arxiv
\section{Complete Experimental Results} \label{sec:results} Complete experimental results on the impact of error bounds on error interval sizes as introduced in \autoref{subsec:error:bounds} are shown in \autoref{fig:appendix:error:median-interval}. Complete experimental results on the impact of error bounds and sear...
3,212,635,539,047
arxiv
\section{Introduction} \subsection{Setting of the problem} We consider the following gKdV equations: \begin{equation}\label{CP}\begin{cases} \partial_t u +(u_{xx}+u|u|^{p-1})_x=0, \quad (t,x)\in[0,T)\times\mathbb{R},\\ u(0,x)=u_0(x)\in H^1(\mathbb{R}), \end{cases} \end{equation} with $1\leq p<+\infty$. From the resul...
3,212,635,539,048
arxiv
\section{Introduction} Abel-tranform's philosophy was introduced by Abel in its pionneer article on integrals of rational forms on algebraic curves. He considered sums of such integrals depending on $0$-cycles given by the intersection of the given curve $V$ with a rational family of algebraic curves $(C_a)_{a\in A}$ a...
3,212,635,539,049
arxiv
\section{Introduction} Radiative transitions between the valence band (VB) and the conduction band (CB) in semiconductor quantum wells, wires and dots have been thoroughly investigated over the last decades because of their potential for optical and opto-electronic applications.\cite{Nolte1999,Panfil2018,Tartakovskii2...
3,212,635,539,050
arxiv
\section{Introduction} \large Quantum chromodynamics predicts [1]a phase transition from a deconfined to a confined matter of hadrons during the early stages of the universe. Just in the beginning of the universe it was considered to be in the form of deconfined matter of quarks and gluons and subsequent process of...
3,212,635,539,051
arxiv
\section{Introduction} Ultra-relativistic nucleus-nucleus collisions exhibit large collective phenomena, such as transverse flow. In the discussion of the dynamical origin of this collectivity, relativistic hydrodynamics plays a central role. This is so, since the densities attained in nucleus-nucleus collisions imp...
3,212,635,539,052
arxiv
\section{Introduction} \label{Introduction} Our current understanding of physics is based on four fundamental forces: the strong and weak nuclear forces, electromagnetism, and gravity. These must ultimately be different aspects of the same unified fundamental interaction. However, the long-sought unification with grav...
3,212,635,539,053
arxiv
\section{Introduction} The term "adversarial example" first came into literature in 2013 in Szegedy's work \cite{szegedy2013}, which stated that small perturbations to neural networks' inputs would change networks' predictions. In such a case, a perturbed image of dog may be misclassified as a cat by the target network...
3,212,635,539,054
arxiv
\section{INTRODUCTION} \par Saliency detection aims to extract a mask map, termed "saliency map", that gives the probability of most attractive part from a given image. Such a saliency map can be utilized for multiple applications, such as image thumbnailing \cite{b1} and content-aware image resizing \cite{b2}. By redu...
3,212,635,539,055
arxiv
\chapter{Introduction} One of the predictions of General Theory of Relativity, unveiled eighty years ago, is the existence, in a linear approximation, of a gravitational analog of the magnetic field, known as the gravitomagnetic (GM) or prorotational field. In the form of the Lens-Thirring Effect, this aspect of the g...
3,212,635,539,056
arxiv
\section{Introduction} \label{sec:intro} The accurate calculation of excited-state properties constitutes one of the major challenges in modern computational materials science. For charged excitations, namely the ionization potentials and electron affinities as measured by photoelectron spectroscopy, the $GW$ approxi...
3,212,635,539,057
arxiv
\section{Introduction} Let $X$ be a smooth projective variety defined over $\mathbb{C}$, and let $K_X$ be the canonical divisor. Then the graded ring $$R(X,K_X)=\bigoplus_{m\ge 0} H^0(X,mK_X)$$ is called the \emph{canonical ring}. It is a birational invariant and Birkar-Cascini-Hacon-McKernan proved in \cite{BCHM} tha...
3,212,635,539,058
arxiv
\section{Introduction} Recent advances on information technologies facilitate real-time message exchanges and decision-making among geographically dispersed strategic entities. This has boosted the emergence of new generation of networked systems; e.g., the smart grid and intelligent transportation systems. These netw...
3,212,635,539,059
arxiv
\section{Introduction} Let us start by describing the most important example which has motivated our study of control cost estimates for the heat equation. Consider the inhomogeneous heat equation with heat generation term $ - V$ on suitable domains $\Omega \subset \RR^d$ (in particular, $\Omega = \RR^d$ is allowed a...
3,212,635,539,060
arxiv
\section{Introduction} During the past few decades the investigation of the radial chemical abundance gradients of spiral galaxies has provided critical constraints for our understanding of their evolutionary histories. The overall picture that emerges from a large body of observational work on the oxygen abundance...
3,212,635,539,061
arxiv
\section{Introduction} Covert channels are essentially inter-process communication mechanisms designed to evade security systems that may otherwise monitor or prevent communication between the endpoint processes. Network covert channels have existed for decades \cite{Girling87}, and have increased in complexity, dive...
3,212,635,539,062
arxiv
\section{Introduction} To date, more than 4000 exoplanets have been discovered and characterised\footnote{\url{https://exoplanetarchive.ipac.caltech.edu/}}, but their properties have not always been those we observe today. Indeed, the exoplanets we observe were born with different properties: in their early life, plan...
3,212,635,539,063
arxiv
\section{Introduction} Fifth generation (5G) communication systems promise to serve not only high-throughput applications, known as extended mobile broadband (eMBB), but also two main instances of machine-type communication (MTC): massive MTC (mMTC) and ultra-reliable low-latency communications (URLLC) \cite{towards_ma...
3,212,635,539,064
arxiv
\section{Introduction} \noindent Imaging deep inside biological tissues at high resolution is a long sought-after goal in biomedical research. Light scattering due to inhomogeneities in the refractive index makes this task extremely challenging as scattering prevents the formation of a sharp focus and therefore deterio...
3,212,635,539,065
arxiv
\section{Introduction} Spintronics and graphene are exciting, vigorous, and rather new areas of research with a rapid pace of new discoveries. Books and a multitude of review articles are available for those that want to learn about one of these fields [\onlinecite{Wolf2001,Awschalom,Zutic2004,CastroNeto2009,Katsnelson...
3,212,635,539,066
arxiv
\section{Introduction}\label{sec_intro} For public safety, it is critical to have an option to provide and keep up communications amid and after a calamity or crisis \cite{fema}. In the case of an emergency or natural catastrophe, the telecommunications structure are likely to be damaged. Thus, wireless communications...
3,212,635,539,067
arxiv
\section{Introduction} Quantum dots are {\it artificial atoms} which have been a subject of intense theoretical and experimental research in recent years\cite{j95}. A very recent development is the study of vertically coupled quantum dots\cite{pal95} or {\it artificial molecules}. In Ref.~% \onlinecite{ima96} a doubl...
3,212,635,539,068
arxiv
\section{Introduction}\label{intro} In the past decade, numerous cosmological surveys and advancements in observational techniques have allowed researchers to place percent-level constraints on cosmological parameters, bringing us closer to understanding the nature of our Universe. So far, the $\Lambda$CDM concordance ...
3,212,635,539,069
arxiv
\section{Introduction and main result} Let $\boldsymbol{A}\in{\mathbb R}^{n\times n}$ be a random matrix from the ${\sf GOE}(n)$ ensemble. Namely, $\boldsymbol{A}=\boldsymbol{A}^{{\sf T}}$ and $(A_{ij})_{i\le j\le n}$ is a collection of independent random variables with $A_{ii}\sim{\sf N}(0,2/n)$ and $A_{ij}={\sf N}(0...
3,212,635,539,070
arxiv
\section{Introduction}\label{sec1} The early stages in a drug discovery process are notoriously expensive and time-consuming, usually coupling wet lab with \textit{in-silico} technologies. Virtual Screening (VS) is an important computational technique used to provide a quick and economical method for the discovery of ...
3,212,635,539,071
arxiv
\section{Introduction} Dirichlet's theorem in Diophantine approximation guarantees that for any irrational $\alpha\in\R$ there are infinitely many $m,n\in\Z$ for which \begin{equation*} \left|n\alpha-m\right|\le\frac{1}{|n|}. \end{equation*} The inhomogeneous version of this result, proved by Minkowski (see \cite[...
3,212,635,539,072
arxiv
\section{Introduction} \subsection{Background and motivation} The context category $\VM$ of a von Neumann algebra $\cM$ is the set of commutative von Neumann subalgebras of $\cM$, partially ordered by inclusion. The spectral presheaf $\SigM$ of a von Neumann algebra $\cM$ is a presheaf over $\VM$ and serves as a gene...
3,212,635,539,073
arxiv
\section{Introduction}\label{cap:intro} Among the stochastic processes, the random walk has been of great importance in describing different phenomena in nature, such as the Brownian motion of particles in a fluid. As an important case, the behavior of light propagation in a diffusive regime, when the scattering mea...
3,212,635,539,074
arxiv
\section{Introduction} In this paper, we discuss well-known three- and two-dimensional models with linear confinement, namely the Polyakov compact electrodynamics in 3D and two-dimensional $CP(N-1)$ sigma model, and reveal changes the confining regimes undergo if one adds the axion field. Historically the first was ...
3,212,635,539,075
arxiv
\section{Conclusion and Future Work \label{sec:conclusion}} In this paper, we presented two novel linking algorithms\xspace to reveal the ownership of BTC\xspace addresses that are controlled by LN\xspace nodes using publicly-available data. We also developed four BTC\xspace address clustering algorithms\xspace and ...
3,212,635,539,076
arxiv
\section{Introduction} Online platforms generate an enormous quantity of web information every day. For example, news portals report real-time news; social media broadcast the hot news and generate related topics every moment. Information Extraction (IE) has gained increasing popularity because it helps exploit this po...
3,212,635,539,077
arxiv
\section{Introduction} By studying the relationship between active galactic nuclei (AGNs) and their host galaxies we can learn about the processes that fuel the central activity and the role the AGNs play in galactic evolution. Because high spatial resolution is required for this purpose, the use of nearby samples ...
3,212,635,539,078
arxiv
\section{Introduction} Damped Lyman-alpha Systems (DLAs) are neutral-hydrogen (HI) gas clouds or cloud complexes with total HI column density, ${\rm N(HI) \geq 10^{20.3}}$~cm$^{-2}$. DLAs are fundamentally important because they contain most of the neutral gas in the post-reionization universe \citep[e.g.,][]{2000St...
3,212,635,539,079
arxiv
\section{Introduction} One of the most important scientific achievements of the 21st century is the rise of the Gravitational Waves (GW) and multi-messenger astronomy. After the upgrades to the Advanced LIGO (Laser Interferometer Gravitational-Wave Observatory), the detector reached the sensitivity, which appeared e...
3,212,635,539,080
arxiv
\section{Introduction} Magnetic Resonance Imaging (MRI) has been widely used for non-invasive diagnosis due to its high resolution and excellent soft tissue contrast. However, its long acquisition time is a drawback and predisposes to artifacts due to patient movement. Undersampling is an efficient way to shorten the a...
3,212,635,539,081
arxiv
\section{Introduction} The properties of hadrons in a thermal and dense medium are currently widely investigated, both experimentally and theoretically. In this respect, the heavy-ion experiments at RHIC and LHC are producing a huge amount of data. However, from the theoretical point of view, it is still difficult t...
3,212,635,539,082
arxiv
\section{Introduction} The random phase approximation (RPA)\cite{Macke1950, Bohm1953} has found widespread use in quantum chemistry for the calculation of covalent and non-covalent interaction energies.\cite{Furche2001, Furche2008, Hesselmann2011, Eshuis2012a, Ren2012a, Paier2012, Chen2017, Chedid2018, Kreppel2020} The...
3,212,635,539,083
arxiv
3,212,635,539,084
arxiv
\section{Introduction and Summary} While F-theory has proven to be fertile ground for engineering supersymmetric GUTs \cite{Donagi:2008ca,Beasley:2008dc,Beasley:2008kw,Donagi:2008kj}, much of our understanding of the basic tools for model building relies on the duality to Heterotic strings \cite{Morrison:1996na,Morris...
3,212,635,539,085
arxiv
\section{Introduction} Over past decades, head-mounted display (HMD) technologies have taken advantage of innovations from imaging and eye tracking research to improve image quality and utility of user interfaces. To date, several consumer level HMDs have integrated eye trackers, providing opportunity for researchers t...
3,212,635,539,086
arxiv
\section{Introduction} Modern recommender systems (RS) are rapidly evolving with the adoption of sophisticated deep learning models~\cite{zhang2019deep}. However, it is well documented that directly using advanced deep models usually achieves sub-optimal performance due to the existence of various biases in RS~\cite...
3,212,635,539,087
arxiv
\section{Introduction} \ Energy landscape concepts \cite{R1} such as golf-course and funnel are used in proteins \cite{R2,R3,R4} to understand the folding kinetics, in temperature (on $X$-axis) and time (on $Y$-axis) diagram \cite{R5,R6}: (i) rapid folding below a transition temperature and slow folding above it; and (...
3,212,635,539,088
arxiv
\section{Introduction}\label{sec:introduction} The ideas of topological persistence \autocite{edelsbrunner2000topological} and persistent homology \autocite{cz2005} have had a fundamental impact on computational geometry and the newly spawned field of applied topology. The method cleverly modified tools from alg...
3,212,635,539,089
arxiv
\section{Introduction} Field theories in zero spacetime dimensions are in principle nothing but ordinary integrals, yet they are of great interest in physics and combinatorics. Their perturbative expansion in Feynman diagrams requires no integrals over spacetime, hence it reduces to counting certain classes of diagram...
3,212,635,539,090
arxiv
\section{Introduction} Quantum information processing \cite{Nielsen} has become an interdisciplinary research field covering the investigation of fundamental questions in quantum physics \cite{kofler10}, metrology \cite{schmidt05,roos06} as well as the quest for a quantum computer. The Hadamard gate and the Cont...
3,212,635,539,091
arxiv
\section{Introduction} The solar system is the most familiar planetary system and has been studied well for the past decades \citep[e.g.,][]{Hayashi1981,2001Icar..152..205C,Raymond+09,2010Icar..207..517M,2014RSPTA.37230174J,Lichtenberg+21}. However, formation of the solar system is still the most interesting subject. T...
3,212,635,539,092
arxiv
\section{Introduction} In many scientific fields, large amount of data $(x_i,y_i)_{i=1}^m$ arise from sampling unknown functions. Scientists train data and then synthesize a function $f$ such that $f(x)$ is an efficient estimate of the output $y$ when a new input $x$ is given. The training process is usually ...
3,212,635,539,093
arxiv
\section{Introduction} \label{intro} Quarkonia production in high energy hadron collisions have shown to be an important issue both in QCD and in collider physics. Hadronic production of $J/\psi$ and $\Upsilon$ have received attention since the discovery of charm and beauty quarks. The production of these states have ...
3,212,635,539,094
arxiv
\section{Introduction} \label{sec_intro} Quantifying sparsity and compressibility for random sequences has been a topic of active research largely motivated by the results on sparse signal recovery and compressed sensing (CS) \cite{amini_2011,gribonval_2012,silva_2015,cevher_2008,amini_2014,unser_2014,unser_2014b}....
3,212,635,539,095
arxiv
\section{Introduction}\label{s:intro} We revisit trace anomalies in theories coupled to gravity, an old subject, \cite{capper,deser,bernard,brown,brown-cas,chris,adler,duff1,dowker,tsao,ChD,vilenkin,wald,CD2,Christensen:1978sc,Duff:1982yw,duff2}, brought back to people's attention thanks to the importance acquired rec...
3,212,635,539,096
arxiv
\section{Introduction} If some random jump type noise is taken into account, the time evolution of the velocity and mechanical pressure of an incompressible flow of fluid enclosed in a bounded domain $D$ with smooth boundary $\partial D$ could be described by the following stochastic Navier-Stokes equations \begin{alig...
3,212,635,539,097
arxiv
3,212,635,539,098
arxiv
\section{Introduction. Overview of approach and results} \qquad In \cite{Altsh7}, \cite{Altsh6} radion effective potential compatible with inflation scenario was received in the model of magnetic fluxbrane throat-like solution of the Type IIA supegravity equations. Radion ("inflaton") field is defined in \cite{Alts...
3,212,635,539,099
arxiv
\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\Large\bfseries\scshape\centering}} \def\subsection{\@startsection{subsection}{2}% \z@{.5\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\large\bfseries\scshape}} \def\subsubsection{\@startsecti...
3,212,635,539,100
arxiv
\section{Introduction} \label{sec:intro} The statistical modeling of compositional (or relative abundance) data plays a pivotal role in many areas of science, ranging from the analysis of mineral samples or rock compositions in earth sciences \citep{aitchison1982statistical} to correlated topic modeling in large text...
3,212,635,539,101
arxiv
\section{Introduction} \label{sec-intro} Random graphs can be used to model many different types of networked structures such as communication networks, social networks and biological networks. Many of these real-world networks display similar characteristics. A well-known characteristic of many real-world networks i...
3,212,635,539,102
arxiv
\section{Introduction} Natural language generation (NLG) \cite{reiter1997building,white2004reining} aims to synthesize natural language text given input syntactic, semantic or logical representations. It has been shown useful in various tasks in NLP, including machine translation \cite{P07-1002,zhang-EtAl:2014:EMNLP}, ...
3,212,635,539,103
arxiv
\section{Introduction} Let $X$ be a real Banach space with norm $\|.\|$ and let $C$ be a nonempty subset of $X$. A mapping $T: C \longrightarrow C$ is said to be nonexpansive if $\| Tx - Ty \| \leq \| x - y \|$ for all $x, y \in C$. $T$ is said to be a $(c)$-mapping if there exist $a, c \in [0, 1], c > 0$ and $a + 2c...
3,212,635,539,104
arxiv
\section{Introduction} The characterization of emission lines is a fundamental tool to study the physical processes governing the formation and evolution of galaxies. H$\alpha$ constitutes one of the most reliable estimators of galaxy's star-formation rates (SFRs - e.g., \citealt{moustakas2006, madau2014}) over short...
3,212,635,539,105
arxiv
\section{Introduction} \label{sec:intro} We have witnessed amazing developments in the field of medicine with the aid of technology~\cite{sivapalan2022annet}. With the advent of annotated dataset of medical records, we can now use data mining techniques to identify trends in the dataset. Such analysis has helped the me...