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1,941,325,219,488
arxiv
\section{Introduction}\label{introduction} \normalsize{ Level set estimation theory deals with the problem of reconstructing an unknown set $L(\tau)=\{f \geq f_\tau\}$ from a random sample of points $\mathcal{X}_n=\{X_1,...,X_n\}$ of a random variable $X$, where $f$ is the density of $X$, $\tau\in (0,1)$ is a giv...
1,941,325,219,489
arxiv
\section{\@startsection {section}{1}{\zeta@}% {-3.5ex \@plus -1ex \@minus -.2ex}% {2.3ex \@plus.2ex}% {\normalfont\large\bfseries}} \renewcommand\subsection{\@startsection{subsection}{2}{\zeta@}% ...
1,941,325,219,490
arxiv
\subsubsection*{#1}} \pagestyle{headings} \markright{Reference sheet: \texttt{natbib}} \usepackage{shortvrb} \MakeShortVerb{\|} \begin{document} \thispagestyle{plain} \newcommand{\textsc{Bib}\TeX}{\textsc{Bib}\TeX} \newcommand{\texttt{#1}\def\filedate{#2}\def\fileversion{#3}}}{\texttt{#1}\def\filedate{#2}\def\fil...
1,941,325,219,491
arxiv
\section{Keywords:} quantum interference, quantum erasure, entanglement, quantum cryptography, QKD} \end{abstract} \maketitle \section{Introduction} Ideas at the root of quantum erasure were already at play in the famous Bohr-Einstein dialogues in the 1920's. In one such debate, Einstein envisaged a scenario where o...
1,941,325,219,492
arxiv
\section{\textbf{Introduction}} Density-functional theory (DFT) is a commonly used electronic structure method. Its ground state version is mainly used to calculate energies and structures of electronic systems \cite{Barth:review}, while its time-dependent (TD) counterpart TDDFT also allows for the calculation of dynam...
1,941,325,219,493
arxiv
\section{Experiments} \subsection{Input Modalities}\label{sec:input} Any set of sensory data can be used as input to the proposed framework. For demonstration, however, we use two exemplary data types that are easily accessible from the existing benchmark datasets: (i) \textit{LiDAR data} provide 3D scanning of the su...
1,941,325,219,494
arxiv
\section{Introduction} It is understood since the seminal work of Zhedanov \cite{Zhedanov-1991} that the bispectral properties of the families of orthogonal polynomials of the Askey scheme can be encoded into algebras that are generally quadratic. Basically, the generators of these algebras, which bear the names of th...
1,941,325,219,495
arxiv
\section{Introduction} {S}{tatistical} models of transmitters locations aim to provide tools to understand real network deployment. For telecommunication companies, the \textit{a priori} knowledge of the distribution of the antenna locations helps to predict and manage the costs of a network deployment. Such models al...
1,941,325,219,496
arxiv
\section{Introduction} Lipschitz-free spaces form by now a fundamental class of Banach spaces, whose study has been revitalized since the appearance of the seminal paper of Godefroy and Kalton (\cite{godefroy2003lipschitz}). There are two main important properties that both characterize these spaces. Namely, they are f...
1,941,325,219,497
arxiv
\section*{Introduction} Much of the research on human cooperation has focused on the free-rider problem: how to maintain cooperation when individuals' immediate interests are opposed to those actions that would maximize the total benefits to the group. However, in many cases individuals' interests are {\em aligned} rat...
1,941,325,219,498
arxiv
\section{ Introduction} \label{S1} In this Letter we calculate the distribution in recoil momenta for the double photoionization of helium in the high energy nonrelativistic limit. We calculate also the energy distribution in the "back-to-back" configuration of the emitted electrons. Our calculations are in agr...
1,941,325,219,499
arxiv
\section{Contributors} Below is a list of people who have confirmed interest in contributing to the white paper: John Orrell, Noah Kurinsky, Yoni Kahn, Richard Schnee, Rouven Essig, Alexander Kish, Claudio Savarese, Matthew Szydagis, Cristiano Galbiati, Isaac Arnquist, Chris Jackson, Richard Gaitskell, Ald...
1,941,325,219,500
arxiv
\section{Introduction} A lot of research has shown that the models based on the heavy-tailed distributions are suitable for describing {various} kinds of phenomena where the assumption about the Gaussian distribution is not reasonable, see \cite{mit,fin2,phy2,Gardes2010,Kysely2010,valueatrisk,earthquake,infinite11,pa...
1,941,325,219,501
arxiv
\section{Introduction} Polynomial system solving can be performed by doing several eliminations. If the variables are $x_1,..,x_n$, after eliminating $x_1,...,x_{n-1}$, one has to solve one (large degree) univariate polynomial, and then one finds other unknowns by back substitution, gcd computations and univariate poly...
1,941,325,219,502
arxiv
\section{Introduction} This is a final paper of the series (\cite{cheng1,cheng2,dog08}; Dogiel et al. 2009abc) on energetic processes in the Galactic center (GC). In these papers we presented our interpretation of X-ray and gamma-ray emission from the Galactic center. We supposed that all these phenomena had common ...
1,941,325,219,503
arxiv
\section{Introduction} Critical behavior of complex systems in the continuum is one of the central problems in statistical physics. For systems in $\R^d$, $d>1$, consisting of particles of the same type there is, up to our knowledge, only one rigorous mathematical analysis of this problem, the so-called LMP (Lebowitz-...
1,941,325,219,504
arxiv
\section{The \bighess\ Telescope System} The \hess\ detector for observation of $>100\;\rm GeV$ \gr s has been operating since June, 2002 in the Khomas highlands of Namibia (23\dg S, 15\dg E, $1.8\;\rm km$ a.s.l.). It captures the Cherenkov light emitted by cascades of particles in the atmosphere initiated by a \gr\ ...
1,941,325,219,505
arxiv
\section{Introduction} Attempts to detect the radio K-band lines of ammonia (NH$_3$) were made during the recent apparitions of four comets with the 100-m Effelsberg Radio Telescope of the Max-Planck-Institut f\"ur Radioastronomie (MPIfR). Observations were performed on Comets C/2001 A2 (LINEAR), 153P/Ikeya-Zhang, C/...
1,941,325,219,506
arxiv
\section{Introduction} Searching and exploration are fundamental problems in the areas of robotics and autonomous mobile agents. The objective for searching is to find a target placed at an unknown location in the domain in a provably optimal manner. In the \textit{linear search} problem, the target is placed at ...
1,941,325,219,507
arxiv
\section{Deferred Proofs}\label{app:appendix} The proof below contains the calculations for Example~\ref{ex:regularity comparisons}. \begin{proof} We first show that the constant elasticity distribution with cumulative density $F(v) = 1 - (v/a)^{1/\epsilon}$ is DMR. Recall that DMR is equivalent to concavity of the re...
1,941,325,219,508
arxiv
\section{Introduction, general context and the standard scenario} Chemically peculiar (CP) stars is a well know group of anomalous stars on the upper main sequence (see e.g. Romanyuk 2007, Wahlgren 2004 for the most recent reviews). It is generally accepted that the slow rotation of these stars is the primordial cause...
1,941,325,219,509
arxiv
\section{Introduction} \label{sec:intro} Graph sparsification is the problem of, given a graph $G = (V,E)$ with quadratically many (in $|V|$) edges, finding a sparse subgraph $G_\varepsilon = (V,E_\varepsilon\subseteq E)$ such that important properties of $G$ are preserved in $G_\varepsilon$. Sparse in this context u...
1,941,325,219,510
arxiv
\section{Introduction} The Ricci flow deforms a metric $g$ on a Riemannian manifold $(M^n,g)$ according to the equation \begin{align*} \frac{\partial}{\partial t}g(t)=-2\text{\rm Ric}_{g(t)}. \end{align*} Since its introduction by Hamilton \cite{Hamilton-1982}, the Ricci flow has been used in a wide variety of set...
1,941,325,219,511
arxiv
\section{Introduction}\label{sec-intro} Since \cite{Harsanyi1967-68}, games with incomplete information have been widely studied and found applications in many fields. Various kinds of hypotheses are proposed on the formulation of such games to guarantee the existence of pure strategy equilibria.\footnote{The increa...
1,941,325,219,512
arxiv
\section{Introduction} A fundamental question in cosmology is the origin of the density perturbation, from which the structure of the universe (galaxies, and galaxy clusters) has grown. Today a popular scenario is inflation, where the perturbation originates as a quantum fluctuation of the inflaton field. Clues to th...
1,941,325,219,513
arxiv
\section{Introduction} More than seventy years after Zwicky's first accounts of dark matter in galaxy clusters \cite{zwicky33}, and thirty five years after Rubin's measurements of rotational velocities of spirals \cite{rubin70}, the case for non-baryonic dark matter remains convincing. Recent precision observations o...
1,941,325,219,514
arxiv
\section{Introduction} The ability to predict the future is paramount to design and verification of a control policy, as modeling the dynamics of a system can enable planning and control approaches that solve tasks using the same model, or can facilitate analyzing the behavior of the closed-loop system. Conventionally ...
1,941,325,219,515
arxiv
\section{Introduction} The study of identified hadron spectra at large transverse momentum ($p_{\mathrm T}$) in $p$+$p$ collisions can be used to test the predictions from perturbative quantum chromodynamics (pQCD)~\cite{pqcd}. In the framework of models based on QCD, the inclusive production of single hadrons is des...
1,941,325,219,516
arxiv
\section{Introduction} \label{sec:intro} The key objective in any kind of data analysis is to find a model which describes the data the best and with the fewest assumptions following Occam's razor. Once such a model has been established there are typically two more questions arising: \begin{enumerate} \item Is the dat...
1,941,325,219,517
arxiv
\section{Introduction} \subsection{Background} The use of angles of external rays to give a combinatorial description of parameter spaces associated with the iteration of various complex analytic functions, most particularly quadratic polynomials, is a standard tool in complex dynamics e.g. \cite{DH, Mil2}. Sester ...
1,941,325,219,518
arxiv
\section{Introduction} The muon detector of the LHCb experiment \cite{jinst,muonpaper,performance} is composed of 5 stations (M1$-$M5) placed along the beam axis. Each station is divided in 4 regions (R1$-$R4), with increasing distance from the beam pipe. Multiwire proportional chambers (MWPC) are used everywhere, exc...
1,941,325,219,519
arxiv
\section{Introduction} \section{Introduction} Gravity waves propagate as perturbations of the stratified atmospheric fluid \citep{Goss:75}, with the buoyancy force being the restoring mechanism giving rise to the waves \citep[cf][for a review]{Frit:03,Alex:10}. While being essentially regional-scale phenomena, ...
1,941,325,219,520
arxiv
\section{Introduction} The goal of this note is to study a function-field analogue of classical problems in analytic number theory, concerning the auto-correlations of divisor functions. First we review the problems over the integers $\mathbb{Z}$ and then we proceed to investigate the same problems over the rati...
1,941,325,219,521
arxiv
\section{Introduction} Graphs in this paper are simple, having no loops and no parallel edges. For a graph $G=(V,E)$, the neighbourhood of $x\in V$ is denoted by $N(x)=N_G(x)$, the degree of $x$ is denoted by $d(x)=d_G(x)$, and the minimum degree of $G$ is denoted by $\delta(G)$. Let $\Pi=\Pi(G)$ be the...
1,941,325,219,522
arxiv
\section{\uppercase{Introduction}} \label{sec:introduction} Existing research reveals two major classes of state-of-the-art approaches to depth super-resolution (SR): data-driven methods based on deep neural networks~\cite{pdn,msgnet,voynov} and variational optimization-based approaches~\cite{srfs2,srfs1}. Among thes...
1,941,325,219,523
arxiv
\section{Introduction} \label{section:introduction} Noise is omnipresent in all natural systems and plays a beneficial role in the dynamics of nonlinear systems yielding interesting results~\cite{lopes,lindner}. There are many studies which have revealed that noise can play a constructive role like noise induced or...
1,941,325,219,524
arxiv
\section{Introduction}\label{sec:intro} The dynamics and evolution of protoplanetary disks is key to understanding formation occurring in the disks. Like in many astrophysical systems, magnetic field is thought to play an important role in the gas dynamics in the disks. However, because the interior of protoplanetar...
1,941,325,219,525
arxiv
\section{Introduction} \label{sec:intro} The production of hadrons is due to the strong interactions of quarks and gluons. Quantum chromodynamics (QCD), the gauge theory of the strong interactions, provides a quantitative description of the transitions from quarks and gluons to jets of hadrons, which may be tested exp...
1,941,325,219,526
arxiv
\section{Introduction} Over the past decade or so there has been an explosion of research effort aimed at establishing rigorous results about the learnability of various classes of probability distributions. A natural goal in this line of work is to understand how the complexity of learning an unknown high-dimensiona...
1,941,325,219,527
arxiv
\section{Introduction} With the detection of over 4000 exoplanets confirmed so far \citep{Schneider2011}, of increasing importance is the detailed characterisation of these planets. While indirect planet detection methods (such as transit and radial-velocity observations) have revolutionised our understanding of the ub...
1,941,325,219,528
arxiv
\section{Introduction} In the heart of F-theory is an algorithm that assigns to a given elliptic fibration a reductive Lie group $G$ and a representation $\mathbf{R}$ of $G$ \cite{Vafa:1996xn,Morrison:1996na,Morrison:1996pp,Bershadsky:1996nh, Heckman:2018jxk}. An elliptic fibration associated to a group $G$ via th...
1,941,325,219,529
arxiv
\section{Tensile strength of the liquid and its relation with the bubble cavitation} \par The detailed study of cavitation in liquids is of scientific and practical interest since the application of cryogenic liquids grows every year. The cavitation phenomena can have harmful and dangerous outcome, e.g. in liquid hydr...
1,941,325,219,530
arxiv
\section{} Drop coalescence is of major importance in many industrial applications and environmental contexts~\cite{Ashgriz-1990,Hajra_2003, Hu-1995,Pruppacher_2010}. When two liquid drops come into contact, a microscopic liquid bridge forms between them and rapidly expands until the two drops merge into a single big...
1,941,325,219,531
arxiv
\section{Introduction} Effective field theories enable us to understand important physics by extracting relevant ingredients and disregarding the unnecessary remainder. Soft-collinear effective theory (SCET) \cite{Bauer:2000ew,Bauer:2000yr,Bauer:2001yt} is an effective theory for QCD, which is appropriate for high-...
1,941,325,219,532
arxiv
\section{Introduction} To extend our knowledge of the nucleon structure far beyond what we know from parton distribution functions (PDFs) about longitudinal momentum distributions, we need a generalization of PDFs which are known as transverse momentum dependent parton distribution functions (TMDs). These functions con...
1,941,325,219,533
arxiv
\section{Introduction} The transition into an electronically ordered state at 17.5\,K in the heavy fermion compound URu$_2$Si$_2$ has attracted an enormous amount of interest since its discovery about 35 years ago\,\cite{Palstra1985,Schlabitz1986,Maple1986,Oppeneer2010,Mydosh2011,Mydosh2014,Mydosh2020}, and yet, the or...
1,941,325,219,534
arxiv
\section{Introduction} \label{sec:intro} Strategies are well described in the framework of sequential games, aka. games in extensive forms with perfect information. In this paper, we describe rational strategies leading to divergence.\footnote{In this paper we use ``divergence'' instead of ``escalation'' since it...
1,941,325,219,535
arxiv
\section{Introduction and Background} \subsection{Notations and conventions} All the graphs in this paper are undirected, possibly with multiple edges and self-loops. We denote the group of permutations on a set $V$ by $S_V$. A {\em $2$-factor} in a graph $G$ is a spanning subgraph that is the disjoint union of cycles....
1,941,325,219,536
arxiv
\section{Introduction}\label{intro} The study of differential Harnack estimates for parabolic equations originated with the work of Li and Yau \cite{Li-Yau}. They proved a gradient estimate for the heat equation by using the maximal principle. By integrating the gradient estimate along a space-time path, a classical H...
1,941,325,219,537
arxiv
\section{Introduction} Many new technologies (e.g., vehicular networks, sensor networks, IoT applications, etc \ldots) rely on the assumption that the information that a node in a network has about other nodes is as fresh as possible. Timeliness of updates thus emerged as a new research topic in the study of networks...
1,941,325,219,538
arxiv
\section{Introduction} \noindent Let $\mathcal{B}(\mathcal{H})$ denote the $\mathbb{C}^*$-algebra of all bounded linear operators defined on a complex Hilbert space $\mathcal{H}$ with inner product $\langle.,.\rangle$. For $T \in \mathcal{B}(\mathcal{H})$, $T^*$ denotes the adjoint of $T$. Also $|T|, |T^*|$ denote...
1,941,325,219,539
arxiv
\section{Introduction} Complexity has been a focus in the recent study of the AdS/CFT correspondence \cite{Maldacena:1997re} and blackhole physics. As firstly pointed out by L. Susskind \cite{Susskind:2014rva}, ``entanglement is not enough" to describe the dynamics of the blackhole, especially the growth of the Ei...
1,941,325,219,540
arxiv
\section{Introduction} The investigation of the structure of superforms is an important step toward understanding the geometry of the underlying superspace. Due to the interplay between the spinors and tensors in such spaces, this structure is non-trivial even in the flat case. In the flat, four-dimensional, $N=1$ supe...
1,941,325,219,541
arxiv
\section{Introduction} \label{sec:intro} Over the last twenty years there has been a lot of work on bounding the topological complexity (measured in terms of their Betti numbers) of several different classes of subsets of ${\mathbb R}^k$ -- most notably semi-algebraic and semi-Pfaffian sets. The usual setting for provi...
1,941,325,219,542
arxiv
\section{INTRODUCTION}\label{sec:intro} The center of our Milky Way galaxy hosts a supermassive black hole (BH) Sgr A* with a mass $M_{\rm BH}=4.3\times10^{6}M_\odot$ located at a distance $d=8.3$~kpc \citep{Ghez2008,Gillessen:2009oo}. The BH is primarily fed by hot stellar winds in the present epoch \citep{Cuadrawin...
1,941,325,219,543
arxiv
\section{Introduction} Simultaneous machine translation (\textsc{SiMT}\xspace) is a setting where the translator needs to incrementally generate the translation while the source utterance is being received. This is a challenging translation scenario as the \textsc{SiMT}\xspace \ model needs to trade off delay...
1,941,325,219,544
arxiv
\section{Introduction} In traditional methods for solving time-dependent partial-differential-equation (PDE) initial-value problems (IVPs), a truncated representation of the function values and some number of their time derivatives, on some number of spatial slices, are stored on a discrete grid. As is well known, the ...
1,941,325,219,545
arxiv
\section{\name}\label{sec:rapidlink} This section describes \name\ in detail. For clarity, we describe the algorithm assuming only the receiver has an antenna array whereas the transmitter has an omni-directional antenna. In~\xref{sec:2sides}, we extend it to the to the case where both transmitter and receiver have an...
1,941,325,219,546
arxiv
\section{Introduction\label{sec:Section-I}} Flows in heated liquid pools with a free surface are of interest in various technical applications, such as metals processing including fusion welding, electron beam evaporation, casting and crystal growth. In these processes, low Prandtl number liquids are subjected to larg...
1,941,325,219,547
arxiv
\section{Conclusions} \label{sec-conclusions} Precision measurements of the jet activity in $\ttbar$ events were performed using proton-proton collisions recorded by the ATLAS detector at the LHC. The $\ttbar$ events were selected in the dilepton decay channel with two identified $b$-jets. Events were subsequently vet...
1,941,325,219,548
arxiv
\section{Introduction} \setcounter{equation}{0} \setcounter{section}{1} \noindent The discovery of the Emparan-Reall singly spinning black ring \cite{EmparanReall} and the Pomeransky-Sen'kov doubly spinning black ring \cite{PomeranskySenkov} have played an important role in the theory of higher dimensional black ...
1,941,325,219,549
arxiv
\section{Introduction} Collective motion of cells is essential to several processes including development of an embryo, tissue morphogenesis, wound healing, homeostasis and cancer metastasis~\cite{Ladoux2017,bruguesForcesDrivingEpithelial2014,friedlClassifyingCollectiveCancer2012}. These biological processes are highl...
1,941,325,219,550
arxiv
\section{Introduction} The complex structure of the Milky Way in the Third Galactic Quadrant (TGQ) was noticed time ago with the presence of an unusual velocity field \citep{Brand1993}, and of the warp \citep{May1988,Wouterloot1990,May1997} and corrugations that result in the non coincidence of the \ion{H}{1} (21 cm) l...
1,941,325,219,551
arxiv
\section{Introduction} \label{Sec: Intro} The vast realm of data-driven control methods can be classified into {\em indirect data-driven control} approaches consisting of sequential system identification and model-based control as well as {\em direct data-driven control} approaches seeking an optimal decision compatib...
1,941,325,219,552
arxiv
\section{Introduction} The study of a globular cluster's luminosity function (LF) provides insight into its present dynamical state and the stellar populations of which it is comprised. However, the presence of binary stars can alter the appearance of the luminosity function. A LF constructed from a population conta...
1,941,325,219,553
arxiv
\section{Differential Privacy for Deep Learning} Here we discuss the main privacy concepts used in the paper. \subsection{Differentially Private SGD (DP-SGD)} For $\epsilon \geq 0$, an algorithm $A$ is understood to be Differentially Private \cite{dwork2006our,dwork2006calibrating} if and only if for any pair of da...
1,941,325,219,554
arxiv
\section{Introduction} Complex projective Fano manifolds play an important role in the framework of the Minimal Model Program (MMP) and appear as one of the building blocks in the birational classification of varieties. Fano manifolds are classified up to dimension three – the classification of Fano threefolds was achi...
1,941,325,219,555
arxiv
\section{Introduction} Dense granular materials, when sheared, tend to segregate by particle size, density, shape or friction coefficient, which can be problematic in many industries due to its impact on product quality and uniformity \cite{gray2005theory,meier2007dynamical,fan2011theory,tunuguntla2014mixture,xiao2017c...
1,941,325,219,556
arxiv
\section{Introduction}\label{Intro} Together with quintessence (a scalar field with some potential minimally coupled to gravity) \cite{PR88,W88,Cald,S98} and other physical and geometrical (modified gravity) models of dark energy (see, e.g., the reviews \cite{SS00,SS06} for exact definitions), the generalized Chaplygi...
1,941,325,219,557
arxiv
\section{Introduction} Today, a large number of text and written materials are present in English. However, with roughly around 6,500 languages in the world\footnote{\url{https://blog.busuu.com/most-spoken-languages-in-the-world/}} \citep{chakravarthi2020leveraging,hande2021domain,sarveswaran2021thamizhimorph}, every ...
1,941,325,219,558
arxiv
\section{Introduction} Dimer models are introduced by string theorists to study four-dimensional $N = 1$ superconformal field theories. See e.g. a review by Kennaway \cite{Kennaway_BT} and references therein for a physical background. A dimer model is a bipartite graph on a real two-torus which encodes the information...
1,941,325,219,559
arxiv
\section{Introduction} Approximately 3\% of the general population has a unruptured intracranial aneurysm (UIAs) \cite{Greving2014DevelopmentStudies}. If an UIA ruptures, it leads to subarachnoid haemorrhage with a high mortality and morbidity rate. Neurosurgical or endovascular treatment can prevent UIAs from rupture...
1,941,325,219,560
arxiv
\section{Introduction} The excellent quality of astrometric and photometric data provided by the ESA mission {\it Gaia} has been recently improved by the publication in its third data release (DR3) of nearly 200 million spectra \citep{DeAngeli22}. These spectra, although having a very low resolution (R\,$\approx$\,60)...
1,941,325,219,561
arxiv
\section{Introduction}\label{s1} One of the central problems in nano science and technology~\cite{Feynman} is the realization of high-precision nano manipulation, e.g., pushing, pulling, rotating, rolling, and cutting nano-scale objects. In the widely applied AFM experiments~\cite{Binnig1,Binnig2,Junno,Martin,Guth...
1,941,325,219,562
arxiv
\section{Introduction} ``Bacteria count on probabilistic fingers'', to put it crisply, and count they must when they measure time. In the present paper, we study how such counting/time measurement could possibly look like in the most minimal cases which we believe relevant to simple organisms. \cite{klyubin2007represe...
1,941,325,219,563
arxiv
\section{Introduction} \noindent Meta-programming (MP) is the generation or manipulation of programs, or parts of programs, by other programs, i.e.~in an algorithmic way. Many programming languages, going back at least as far as Lisp, have explicit MP features. These can be classified in various ways such as: ...
1,941,325,219,564
arxiv
\section{Introduction} The AdS/CFT correspondence provides an important forum for investigating the properties of strongly coupled matter when held at finite chemical potential with respect to a conserved charge. It is of particular interest to examine this issue in the context of ``top-down'' solutions of $D=10,11$ s...
1,941,325,219,565
arxiv
\section{Introduction} Observing the infrared secondary eclipse of transiting tidally locked hot Jupiters allows us to measure their dayside thermal flux \citep[e.g.,][]{Charbonneau2005, Deming2005, Cowan2011b,Cowan2011,Triaud2014b, Schwartz2015, Schwartz2017, Zhang2018,Garhart2020}. The dayside flux is determined by...
1,941,325,219,566
arxiv
\section{Introduction} \label{secIntroduction} Considerable theoretical efforts were directed during the 1980s and 1990s at random polymer rings constrained to a plane, both as a fundamental problem of statistical mechanics \cite{Butler1987,Wiegel1988,Duplantier1989,Duplantier1990,Cardy1994} and as a highly idealized...
1,941,325,219,567
arxiv
\section{QCD on the Light Cone } One of the central problems in particle physics is to determine the structure of hadrons such as the proton and neutron in terms of their fundamental QCD quark and gluon degrees of freedom. The bound state structure of hadrons plays a critical role in virtually every area of particle ...
1,941,325,219,568
arxiv
\section{Introduction} We should recall that the concept of the spectral theorem for a selfadgoint operator is based on the notion of a spectral family or the decomposition of the identical operator. Constructing a spectral family, we can define the selfadjoint operator using the Riemann integral, it is the ver...
1,941,325,219,569
arxiv
\section{Introduction} In all calculable, confining $\mathrm{SU}(N)$ gauge theories in continuum, such as the Polyakov model on $\mathbb{R}^3$ \cite{Polyakov:1975rs, Polyakov:1987ez}, the Seiberg--Witten model on $\mathbb{R}^4$ \cite{Seiberg:1994rs}, and deformed Yang--Mills and adjoint QCD on $\mathbb{R}^3 \time...
1,941,325,219,570
arxiv
\section{Introduction} Humans have evolved to become sensitive to their social interactions. The more they interact, the more they generally learn what to say and what not to say to light up people's mood or to avoid upsetting others. In this paper, we aimed to train a chatbot to emulate these human-like qualities by ...
1,941,325,219,571
arxiv
\section{Introduction} Stochastic composition optimization draws much attention recently and has been successful in addressing many emerging applications of different areas, such as reinforcement learning \cite{dai2016learning,wang2016accelerating}, statistical learning \cite{wang2017stochastic} and risk management...
1,941,325,219,572
arxiv
\section{Introduction} One of the key requirements for the next-generation wireless cellular networks is to provide massive connectivity for machine-type communications (MTC), envisioned to support diverse applications such as environment sensing, event detection, surveillance and control \cite{andrews2014will, We...
1,941,325,219,573
arxiv
\section{Introduction} We will investigate some properties of a particular class of stochastic differential equations (SDE), called Mc Kean-Vlasov stochastic differential equations (MVSDE) or mean-field stochastic differential equations. These are SDEs described by \begin{center} $\left\{ \begin{array} [c]{...
1,941,325,219,574
arxiv
\section{\label{sec:intro} Introduction} Quantum computers have the potential to reveal the electronic structure of molecules that are intractable using conventional methods\cite{Reiher2017elucidating}. Quantum computers are classified into fault-tolerant quantum computers and noisy intermediate-scale quantum (NISQ) ...
1,941,325,219,575
arxiv
\section{Introduction} The so-called ``ridge'', found in hadronic collisions at RHIC and LHC energies, \cite{brodsky,aaridgecms,aaridgealice,aaridgeatlas,starridge,phenixridge,phobosridge,ppridge,paridge1,paridge2,paridge3,paridge4,paridge5}, has been subject to years of intense theoretical and experimental investigat...
1,941,325,219,576
arxiv
\section{Introduction} \begin{itemize} \item (1p) background \begin{itemize} \item describe speech translation \item conventional method: cascaded approach \item e2e method \begin{itemize} \item description \item benefits compared to cascaded approach ...
1,941,325,219,577
arxiv
\section{Introduction}\label{sec:introduction} Core-collapse supernovae (CCSNe) have been an active topic of research in theoretical and observational astrophysics for many decades. In recent years, hundreds of CCSNe have been discovered every year, mostly in distant galaxies \citep[e.g.,][]{Sako:2007ms,Leaman:2010kb}...
1,941,325,219,578
arxiv
\section{Introduction} Sustainable building design is challenged by multi-objective and multi-variable design tasks \citep{westermann2019surrogate, evins2013review}. Driven by the development of Building Information Modeling (BIM) \citep{eastman2011bim} and parameterization \citep{shiel2018parametric}, building desi...
1,941,325,219,579
arxiv
\section{Introduction} \input{sections/01intro} \section{Related Work} \input{sections/02related} \section{Designing AESER: AI Member in Group Decision Making} \input{sections/03method} \section{Experiment Design} \input{sections/04study} \section{Results} \input{sections/05results} \section{Discussion} \input{sec...
1,941,325,219,580
arxiv
\section{Introduction} The Galactic binary SS 433~ emits two oppositely directed jets with velocities of $v_j \sim$ 0.26c, which precess under an angle of $\theta = 19.8^\circ$ with a period of $P_p = 162.5$ days (Margon 1984). The kinetic energy of the jets is enormous and might well be in excess of $\sim 10^{40}$ e...
1,941,325,219,581
arxiv
\section{Introduction}\label{sec:introduction} \IEEEPARstart{I}{n} response to the COVID-19 pandemic that emerged in Wuhan, China, in December 2019, an unprecedented effort has been made toward developing a vaccine in a ground-breaking record time~\cite{whovaccintracker}. Although the current COVID-19 va...
1,941,325,219,582
arxiv
\section{Preliminaries.} \addtocontents{toc}{\protect\vspace{1ex}} Throughout this paper, the base field for algebraic varieties is ${\bf C}$. Let ${\bf P}^4$ be the $4$--dimensional complex projective space and $G(2,4)$ the Grassmannian of planes in ${\bf P}^4$. We will consider flat families of planes in ${\bf P}^4$...
1,941,325,219,583
arxiv
\section{Introduction} Chemotaxis describes the oriented movement of species stimulated by uneven distribution of a chemical substance in the environment. It is a significant mechanism accounting for abundant biological process/phenomenon, such as aggregation of bacteria \cite{Murray1, TLM2}, slime mould formation \c...
1,941,325,219,584
arxiv
\section{Introduction} \label{sec:introduction} A \emph{Beatty sequence} is a sequence of the form $B_{\alpha}=\seq{\fl{n/\alpha}}$, where $0<\alpha<1$ is a real number\footnote{We are using the notation $\fl{n/\alpha}$ instead of the more common notation $\fl{\alpha n}$ for the $n$th term of a Beatty sequence. Thi...
1,941,325,219,585
arxiv
\section{Introduction} \label{sec:intro} The discovery of a 125 GeV scalar boson~\cite{:2012gk,:2012gu} marks a milestone in our understanding of the mechanism of electroweak (EW) symmetry-breaking. In order to unambiguously decipher the role exactly played by the corresponding scalar field in breaking the EW symmetry,...
1,941,325,219,586
arxiv
\section{Introduction} Learning from label proportions (LLP) is an important weakly supervised classification problem with only the label proportions in grouped data available. Still, training LLP aims to obtain an instance-level classifier for the new-come inputs. Successfully resolving LLP problems greatly contribut...
1,941,325,219,587
arxiv
\section{Introduction} This paper considers a problem of ecological inference. We suppose independent binary variables $Y_{ij}$ follow a logistic regression model in which $p_{ij} := \Pr(Y_{ij}=1\mid \boldsymbol{x}_{ij}) = \sigma(\boldsymbol{x}_{ij}^\mathsf{T}\beta)$ where $\sigma(z) = (1+\exp(-z))^{-1}$. We would li...