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\section{Conventional DSR System} \label{sec:conventional_system} \subsection{Acoustic Beamforming} \label{sec:beamforming} Let us assume that a microphone array with $M$ sensors captures a sound wave propagating from a position and denote the frequency-domain snapshot as $\mbox{$\mathbf{X}$} (t,\omega_k) =[X_1 (t,\om...
\section{Introduction} One of the most promising ideas developed in Service Computing is the automatic generation of services' compositions~\cite{Papazoglou03service-orientedcomputing,SOCValery,Bartalos}. Multiple views and problems formulations have been proposed for this purpose~\cite{Rao04asurvey}. As a ...
\section{Introduction} In four-dimensional general relativity, there is a maximum charge and angular momentum that can be added to a black hole of given mass. In Einstein-Maxwell theory, these extremal black holes are characterized by having a degenerate horizon with zero Hawking temperature. In theories that also h...
\section{Introduction} \input{Parts/Introduction11} \section{Data}\label{Data} \input{Parts/Data11} \section{Our Stochastic Block Models}\label{Model} \input{Parts/Model11} \section{Computations}\label{Computation} \input{Parts/Computation11} \section{Results}\label{Results} \input{Parts/Results11} ...
\section*{Abstract} We consider a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon model and a free boson, describing respectively the antisymm...
\section{Introduction} The solar wind expansion from the Sun is highly non-adiabatic, partly noticed by proton temperatures falling off much more slowly than is expected for a freely expanding ideal gas \citep[e.g.,][]{P1958,R1995}. Throughout its radial expansion, the solar wind develops a strongly turbulent regime ...
\section{introduction} Particles with a macroscopic decay length, ranging from a few {centimeters} to several hundred meters and beyond, can be classified as long-lived particles (LLPs) at the large hadron collider (LHC). Such LLPs are endemic in new physics models beyond the standard model (SM); see e.g.\ \c...
\section{The muon gyromagnetic factor and ``anomalous'' moment} As a result of more than three decades of intense efforts to validate every corner of the standard model (SM) of elementary particles and their interactions, and to submit it to a redundant metrology with an always increasing precision, the SM has only...
\section{Introduction} The abstract theory of Banach modules or Banach algebras plays an important role in various branches of Mathematics, for instance, abstract harmonic analysis, representation theory, operator theory; see \cite{Farashahi1,Fe,Fe1,Farabraz} and the references therein. In particular, convolution...
\section{Introduction} \label{sec:Intro} \setcounter{equation}{0} Long-baseline neutrino oscillation experiments aim at studying the phenomenon of neutrino oscillations by taking advantage of the known neutrino oscillation lengths, proportional to (the inverse of) the mass-squared differences $\Delta m^2_{21}\equiv m_...
\section{Details on the Models} \label{app:models} \subsection{The CKM Model and Parameters} \label{app:models:CKM} When evaluating low-energy observables within the \ac{SM}\xspace, the \ac{CKM}\xspace matrix elements are evaluated using the Wolfenstein parametrization~\cite{Wolfenstein:1983yz} expanded to order $\la...
\section{Introduction} The universality of critical exponents is an important and remarkably elegant property of standard second order transitions, which has been explored in great detail through the Renormalization Group Theory (RGT). The universality hypothesis states that for all systems within a universalit...
\section{Introduction} This article will describe a set of physical assumptions which are sufficient for a semiclassical gravitational theory to obey the generalized second law (GSL) of thermodynamics \cite{hawking75}. From these physical assumptions, a proof of the GSL will be given for rapidly evolving matter fie...
\section{Introduction} The coincidence of the kernel with the nucleolus -- that is, the kernel consists of a single point -- is only known for some classes of transferable utility games. In particular, it was established by~\citet{MPSh:72} that for the class of convex games -- introduced by~\citet{Shapley:71} -- the k...
\section{Introduction} The \textit{fractal galaxy distribution hypothesis} is an approach for the description of the large-scale structure of the Universe which assumes that this distribution is formed by a fractal system. This approach characterizes the system by means of its key feature, the \textit{fractal di...
\section{Introduction} Object detection and tracking have become one of the most important tasks in autonomous vehicles (AV). Recent development of deep learning methods has dramatically boosted the performance of object understanding and tracking in autonomous driving applications thanks to the availability of publi...
\section{Introduction} Let $(M,g)$ be a Riemannian manifold of real dimension $n$. We use $\nabla$ to denote the Levi-Civita connection. Recently, Chen-He \cite{CH18} introduced the following function space \begin{equation*} \ti{\mathcal{H}} = \{\varphi\in C^{\infty}(M)~|~\Delta\varphi-b|\nabla\varphi|^{2}+a(x)>0\}, \e...
\section{Headline of first appendix section} \end{document} \section{Analysis}\label{sec:analysis} As a starting point of our investigation, in Section~\ref{subsec:level1}, we quantify the overall market share of Bitcoin mining pools by attributing Bitcoin blocks to known mining pools. Next, in Section~\ref{subsec:...
\section{Reduction -- Amortized to worst case} \label{sec:reduction-amortize} We start by providing the amortized to worst case reduction and prove Theorem \ref{thm:main-amortize}. It also serves as a warm up for the worst case to worst case reduction. Our key idea is to re-order current elements in reverse order of d...
\section{Related Work} In this section, we will first review different approaches to action detection. We will then discuss recent works related to our approach, with a focus on \emph{action detection} and \emph{image generation}. \textcolor{black}{Before deep learning, several issues, such as view-independency \cite{R...
\section{INTRODUCTION} The dynamical process of synchronization in coupled chaotic systems has greatly influenced researchers because of the sensitive dependence of chaos on initial conditions \cite{Pecora1990,Pikovsky2003}. The high complexity and unpredictability prevailing in the dynamics of chaotic systems requi...
\section{Introduction} \label{sec:intro} \begin{deluxetable*}{ccccccc}[t!] \tablecaption{Stellar model atmosphere grids available with the first release of ExoTETHyS \label{tab:stellar_grids}} \tablecolumns{6} \tablenum{1} \tablewidth{0pt} \tablehead{ \colhead{Name} & \colhead{Geometry\tablenotemark{a}} & \colhead{Ran...
\section{Introduction}\label{sec:intro} \begin{abstract} \emph{Over-the-air federated edge learning} (Air-FEEL) is a communication-efficient solution for privacy-preserving distributed learning over wireless networks. Air-FEEL allows ``one-shot" over-the-air aggregation of gradient/model-updates by exploiting the wavef...
\section{Introduction} \label{sec:intro} \label{sec1} \subsection{Two non-Hermitian systems: open quantum systems and $\mathcal{PT}$-symmetric systems} In the conventional formulation of quantum mechanics, the Hamiltonian operator $H$ describing a given physical system is generally required to satisfy the Hermitian s...
\section{Introduction} \subsection{Convex Clustering} The previous two decades have witnessed a flurry of activity in statistical machine learning and statistical signal processing, as classical methods have been reinterpreted as convex penalized estimation problems and powerful new theory has extended this methodology...
\section{Introduction} As a powerful learning control paradigm, reinforcement learning is extremely suitable for finding the optimal policy in tasks where the dynamics are either unknown or affected by severe uncertainty \citep{bucsoniu2018reinforcement}. Its combination with the deep neural network has boosted appli...
\section{Introduction} Study of temporal dynamics has greatly advanced our understanding of correlated electron systems for such dynamics may provide information about essential energy scales associated with the elementary excitations and collective modes in these systems.\cite{rev} The newly developed time-resolved an...
\section{Introduction} In recent years, we have witnessed the trend of using larger and larger neural network (NN) models to deliver improved accuracy and generalization in various machine learning tasks~\cite{devlin2018bert, fedus2021switch}. However, training these models requires a considerable amount of on-device ...
\section{Introduction}\label{intro} Recently in connection with the study of some very interesting geometrical and dynamical properties of nilmanifolds, the simply connected nilpotent Lie groups or equivalently their Lie algebras have received the attention of many researchers. Among these nilpotent Lie algebra...
\section{Introduction} Dynamic linear elastic problems appear on many length scales. On the large scales we can find problems relating to earthquakes and other geophysics problems. On the small scales ($\mu$m to mm - scale), we can think of the application of various biomedical treatments with ultrasound or shockwaves...
\section{INTRODUCTION} Pathological diagnosis is used to precisely examine cancer, and the demand for its automation and a Computer Aided Diagnosis (CAD) system has increased in recent years. To meet this demand, many methods have been developed for segmenting the tumor regions or classifying the types of cancer. In su...
\section{Introduction} Fast radio bursts (FRBs) are cosmological radio transients with millisecond duration whose origin is enigmatic \citep{Lorimer2007,Thornton2013}. In the last decade there has been a remarkable increase in our knowledge about FRBs from the observational perspective \citep{Petroff2019,Cordes2019}. ...
\section{Introduction} Plagiarism refers to the unacknowledged use of others' text or ideas. Stopping plagiarism is an important topic in the field of academic publication. Plagiarism detection systems compare a submitted suspicious document against a collection of source documents to find the cases of text re-use. It ...
\section{Introduction} Bayesian inferences require the specification of a prior, which contains a priori knowledge about the parameter(s). If the selected prior, for instance, is flawed, this may yield erroneous inferences. The goal of this paper is to measure the sensitivity of inferences to a chosen prior (known a...
\section{Introduction} \vspace{0.5cm} The tracking of single particles is a powerful tool to probe physical and biological processes at the level of one macromolecule. In particular, the accumulation of experimental data in recent years has allowed to test models of diffusive transport in cells \cite{saxtonannurev,...
\section{Introduction} Recall that a subset $K$ in a metric space ${\spc{U}}$ is called \emph{weakly convex} if any two points $x,y\in K$ can be connected by a minimizing geodesic in $K$. Let ${\spc{U}}$ be a metric space and $K\subset {\spc{U}}$. A distance nonexpanding map $f\:{\spc{U}}\to K$ such that $f(x)=x$ fo...
\section{Introduction} This article is about efficiently lifting algebraic curves over finite fields to characteristic zero, in a genus and gonality preserving way, with an application to $p$-adic point counting. Throughout, our curves are always understood to be geometrically irreducible, but not necessarily non-sing...
\section{Introduction} Given a set $S$ of dominant rational maps on $\mathbb{P}^N$ and an infinite sequence $\gamma=(\theta_1,\theta_2, \dots)$ of elements of $S$, then we are interested in two types of iterated processes attached to $\gamma$. Namely, the \emph{left iterative sequence} of maps, \[\gamma_n^-:=\theta_...
\section{Confinement and DCSB} \label{secConfinement} Most hadron physicists have a notional understanding of confinement; but, in order to consider the concept in depth, it is crucial to have a concrete definition. That problem is canvassed in Sec.\,2.2 of Ref.\cite{Cloet:2013jya}, which explains that the potential...
\section*{Supplementary materials} \setcounter{figure}{0} \makeatletter \renewcommand{\thefigure}{S\@arabic\c@figure} \makeatother \setcounter{table}{0} \makeatletter \renewcommand{\thetable}{S\@arabic\c@table} \makeatother \setcounter{equation}{0} \makeatletter \renewcommand{\thetable}{S\@arabic\c@table} \makeatot...
\section{Introduction} Development of analytic theory of freak (or rogue) waves is one of the most interesting problems of hydrodynamics. In spite of recent progress in this area \cite{PK} many important questions are not answered yet. Apparently, freak waves are the structures well localized in space, see Fig.\ref{SAT...
\section{Introduction} \label{sec:intro} Let $\Gamma$ be a finite set of curves in $\mathbb{R}^2$. The \emph{arrangement} $\mathcal{A}(\Gamma)$ of $\Gamma$ is the planar subdivision induced by $\Gamma$. Its vertices are the intersection points and the endpoints of the curves of $\Gamma$, its edges are the maximal (re...
\section*{SUPPLEMENTAL MATERIAL} \subsection{Calculation of the critical distance} \label{critical} \begin{figure}[b] \begin{center} \includegraphics[scale=0.55,clip=true]{figS1} \caption{Percolation probability $P(\delta)$ for different numbers $N$ of \emph{penetrable} spherocylinders as a function of $\d...
\section{Introduction} \IEEEPARstart{T}{he} rapid cycling synchrotron (RCS) in the Japan Proton Accelerator Research Complex (J-PARC) \cite{TDR} acts as a high intensity proton driver, which delivers high intensity proton beams to the Material and Life Science Experimental Facility (MLF) for generation of neutrons and...
\section{Introduction} \noindent Matrix factorizations can be traced back to Dirac's seminal description of the electron taking both quantum theory and relativity into account, cf.~\cite{Dirac} and also \cite{Murfet}. More recently, they have been studied in relation with, for example, Landau-Ginzburg models in homolog...
\section{Introduction} MRIs provide us with the technology to detect tumors or neoplasms at an early stage and provides essential information for early disease detection, i.e., identify abnormal or diseased tissue. A neoplasm is this uncoordinated abnormal and excessive growth of a tissue occurring inside the body \cit...
\section{Introduction} Structured matrices appear in various domains, such as scientific computing, signal processing, \dots They usually express, in a linearize way, a problem which depends on fewer parameters than the number of entries of the corresponding matrix. An important area of research is devoted to the ...
\section{Introduction} We consider the two dimensional defocusing cubic fractional nonlinear Schr\"odinger equations \begin{align}\label{fNLS} \begin{cases} {\textbf{i}} \partial_t u -(-\Delta)^{\alpha} u = |u|^2u, & \alpha \in (0 ,1] \\ u(0,x) = \phi(x) , \end{cases} \end{align} posed on the unit disk $\Theta = ...
\section{Introduction}\label{scIntroduction} Reaching superconductivity at room temperature has {been the} focus of intense research activities in the last few years (see \cite{Pickard2020,Flores2020} for recent surveys). Especially promising results have been {achieved for} superhydrides, such as H$_3$S, with a trans...
\section{Introduction} Heavy-ion collision experiments conducted at particle accelerators allow us to study the properties of fundamental constituents of nature, such as quarks and gluons. Experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) indicate the formation of such a deconfine...
\section{Methodology} \label{sec:theory} Soft-gluon corrections get logarithmically large at the absolute production threshold when $\sqrs$ approaches $M \equiv 4 m_t$, with $m_t$ the mass of the top quark. This corresponds to the limit $\rhohat \to 1$ of the partonic threshold variable, $\rhohat \equiv M^2/\hat s$. ...
\section{Introduction and Notation} Throughout this paper, we let ${\mathbb N}^*$ denote the set of positive integers and $\mathscr{P}$ the set of prime numbers. We let $\card \mathscr{A}$ denote the cardinal of a given finite set $\mathscr{A}$. For a given prime number $p$, we let $\vartheta_p$ denote the usual $p$-a...
\section{Introduction} Since the discovery of the Cosmic Microwave Background radiation (CMB) by Penzias and Wilson(1965), investigations of this radiation has been a central feature in order to get new information about the earliest evolution of the Universe. Due to technical limitations, until recently most of the o...
\section{Introduction} Fractional Gaussian fields have inspired extensive research in spatial statistics. Fractional fields generalize the notion of fractional noise in two or higher dimensions and are particularly important for studying power laws and modeling long-range dependencies. The early mathematical develop...
\section{Introduction} \label{intro} Even though ultrasound sonography is a low-cost, safe, and fast imaging technique that has been widely used around the globe in clinical diagnosis, surgical monitoring, medical robots etc., there are still some major drawbacks in ultrasound imaging. Due to the nature of how ultrasou...
\section{Introduction} Techniques of light microscopy give us a possibility to look inside living cells and have been considered as the standard in living cells observation for decades. However, each of these microscopic techniques suffers from some disadvantages. Unlike transmitted and reflected light microscopy tec...
\section{Introduction} Current deep neural networks require significant quantities of data to train for a new task. When only limited labelled data is available, meta-learning approaches train a network initialisation on other \emph{source} tasks, so it is suitable for fine-tuning to new few-shot \emph{target} tasks~...
\section*{Results} \noindent\textbf{Upper Critical Field $H_{\rm c2}$}. We have measured $H_{\rm c2}$ parallel to the $c$-axis, in a series of high quality single crystal samples of BaFe$_2$(As$_{1-x}$P$_x$)$_2$ spanning the superconducting part of the phase diagram using two different techniques. Close to $T_{\rm c}(...
\section{Introduction} \label{sec:s1} Zinc oxide (ZnO) has been largely investigated in the past years it is a low cost, high electron mobility, it is transparent and can be sinthesized in several nanostructured shapes\,\cite{ZLWang2004}. Doping in ZnO has been widely used to tailor its electronic, magnetic and optic...
\section{Introduction} Let $x = (x_1,x_2,\ldots,x_N)$ be a sequence of symbols over some alphabet $\mathbb{X}$, where each symbol is sampled from one of $k$ sources, with distributions $\mu_1,\ldots,\mu_k$. Given the sequence $x$, consider the problem of inferring the distribution of the sources, and of the classifi...
\section{Introduction} Let $\mathfrak{C}$ be the convex hull of a compact subset $Q$ in the Euclidean space $\R^m$. By Carathéodory's theorem \cite{Handbook}, $\mathfrak{C}$ is the set of all convex combinations of at most $(m+1)$-tuples of points on $Q$. Thus, $\mathfrak{C}$ is a compact convex subset. Any point in $...
\section{Introduction Let $P(z)$ be a polynomial in $\mathbb{C}[z]$ that is not identically zero. We assume to begin with that $P$ has degree $N$, and that $P$ factors into linear factors in $\mathbb{C}[z]$ as \begin{equation}\label{intro1} P(z) = c_0 + c_1z + c_2 z^2 + \cdots + c_N z^N = c_N \prod_{n = 1}^N (z - \al...
\section{Introduction} \label{intro} In principle, the solid theoretical justification of the QCD applicability to heavy-flavor production requires a detailed analysis of the convergence of the perturbative series for corresponding production cross sections. Presently, such analysis is below the horizon because the bas...
\section{Introduction} Thanks to astronomical observations the modern cosmology has elaborated the concept of the standard cosmological model called the cold dark matter model with the cosmological constant ($\Lambda$CDM model). From a methodological point of view cosmology has achieved the similar status as the parti...
\section{Introduction} \label{intro} One of the fundamental aims of high energy physics is to study the properties of matter under extreme conditions i.e. in the domain of high temperature or high density where the hadrons are expected to melt into a plasma of quarks and gluons. Several efforts have been directed for t...
\section*{Acknowledgments} \label{sec:acks} We dedicate this work to Stewart Grant, Sophia Peng, Pere Ubu, Yvonne Li, Richard Terdiman, and Kevin Langowski. While unaffiliated with this work's content, they inspired the clarity and strength required for the project to reach fruition. \section{Dictionary Construction...
\section{\bf Introduction} Heavy quarks are emerging as valuable probes for the study of quark gluon plasma produced in relativistic heavy ion collision. This has its origin in the large mass of heavy quarks which lends them quite a few advantages, viz, they are produced at a time $\approx \frac{1}{2m_Q}$ which i...
\section{Introduction} \label{intro} The origin of $^{19}\mathrm{F}$ is a widely debated issue in astrophysics. Several stellar environments have been proposed as F production sites: core-collapse Supernovae \citep{Woosley1988}, Wolf-Rayet stars \citep{Meynet2000}, and Asymptotic Giant Branch (AGB) stars \citep{Foresti...
\section{Introduction} Cell-free massive multiple-input multiple-output (CF-mMIMO) system is envisioned as a key enabler for 6G communication systems. \cite{Zhang2019:CFMM_paradigm,akyildiz20206g,zhang2020prospective,matthaiou2021road}. CF-mMIMO system contains many access points (APs) that are connected to a centra...
\section{Introduction} Beginning with the identification of the TW Hya Association (TWA; \citealt{Kastner:1997}) several stellar associations with ages $\sim$8--200~Myr have been identified in close proximity to the Earth \citep{ZS04,Torres:2008}. These young moving groups serve as excellent laboratories to explore t...
\section{Introduction} Topological insulators fall in a class of materials known as symmetry protected topological phases. In these systems the gapless Dirac spectrum of the surface states is protected by symmetries such as charge conservation, time reversal and spatial inversion. Breaking of these symmetries leads to...
\section{Introduction} \label{intro} In the last few decades, neutrino oscillation experiments have conclusively shown that neutrinos are massive~\cite{nu}. The minimal version of the Standard Model is thus to be extended to accommodate the neutrino masses. In many possible extension of the Standard Model, neutral he...
\section{Introduction} \noindent The study of the properties of hadronic matter under extreme conditions is perhaps the most challenging task in contemporary nuclear physics. Due to its non-perturbative behavior, quantum chromodynamics (QCD), the fundamental theory of strong interactions, cannot be solved using conv...
\section{Introduction} In the presence of spatial inversion or time-reversal symmetry (TRS), Weyl fermions can appear in condensed matter as topologically protected electronic band crossings close to the Fermi level with quantized Chern numbers. First theoretically predicted~\cite{PhysRevB.83.205101,PhysRevX.5.011029...
\subsection{Proof of \texorpdfstring{\Cref{MainThm1d}}{Theorem 1}} Let $\delta \in (0, 1)$. Define the sequence $t(n)$ by setting \begin{align}\label{t_n} t(n) = \frac{3.4 \sigma}{\alpha}\sqrt{\frac{\ln \ln 2n + 0.72\ln (\nicefrac{10.4}{\delta})}{n}} \end{align} for any integer $n \geq 1$ and define $n_0=n_...
\section{Introduction} X-ray Computed Tomography (CT) is one of the most powerful clinical imaging imaging tools, delivering high-quality images in a fast and cost effective manner. However, the X-ray is harmful to the human body, so many studies has been conducted to develop methods that reduce the X-ray dose. Specif...
\section{Introduction} \setcounter{footnote}{0} The past decade has been witness to a highly productive back-and-forth relationship between X-ray and radio studies of supernova remnants (SNRs). Their nonthermal radio emissions, serving as tracers of particle acceleration, have motivated follow-up X-ray observations, ...
\section{Introduction} The falling dynamics of an oscillating drop is essential to many natural phenomena and industrial applications, such as rain drops \cite{Feng_1991a} and inkjet printing \cite{Basaran_2013a}. For drops that are formed by a nozzle, the drop characteristics can be controlled through the inflow rate...
\section{Introduction} Scene graph generation (SGG) is a structured prediction task aiming to explicitly model objects and their relationships in an image by constructing a corresponding visually-grounded scene graph. Its uses can be found in computer vision tasks such as image captioning [1-3] and visual question ans...
\section{Introduction} \label{sec:intro} High Mass X-ray binary (HMXB) systems, in which a compact object accretes matter from a more massive companion, often exhibit variability on multiple timescales ranging from less than a second to several months. For most HMXBs, accretion onto the compact object is fed by the ste...
\section{Introduction} From the spread of pathogens \cite{flu,manore14,stanley1} through places such as airports, schools \cite{children1} and hospitals \cite{onnela}, to the spread of online popularity \cite{boyle,havlin} and rumors through Internet chatrooms \cite{finance,neil} or bulletin boards \cite{sornette1,rile...
\section{Extra plots}\label{sec:appendix} \input{figures/3dplots.tex} \input{figures/other_accuracy_results.tex} \subsection{Abstraction}\label{subsec:abstraction} What is abstraction? In fact, there are several closely related notions of abstraction. First there is the philosophical notion of abstraction; Locke defi...
\section{Introduction} With the advent of the era of social media, graph theory has become an increasingly important tool for studying user behavior in such fields as social networks, academic citation, online retails, web analysis, etc. Various graph algorithms have been proposed to attack the problems people encount...
\section{Introduction}\label{s1} The one-dimensional minimax bin-packing problem with bin size constraints (MINIMAX\_BSC) is a special case of the bin-packing problem that appears in the area of psychology \cite{VanderLinden2005}. The MINIMAX\_BSC case can be formally defined as follows: There are $T$ sets ($1\leq ...
\section{Introduction} Let $\Gamma$ be an undirected graph and let $G$ be a subgroup of the automorphism group $\mathop{\mathrm{Aut}}(\Gamma)$ of $\Gamma$. For each vertex $v$ of $\Gamma$, we let $\Gamma(v)$ denote the set of vertices adjacent to $v$ in $\Gamma$ and $G_v^{\Gamma(v)}$ the permutation group induced on $\...
\section{Conclusion} We presented GhostLink, an unsupervised generative model to extract the underlying influence graph in online communities dealing with items of fine taste like movies, food and beer without requiring any explicit user-user links or ratings. Given only timestamped reviews of users, we leverage opini...
\section{Introduction} \label{sec:intro} It is commonly accepted that every active galaxy harbors a super-massive black hole (BH) in its center \citep{ferra96,larkin16,kormendy13}. A likely mechanism for powering their relativistic jets is the release of the rotational energy of the BHs \citep{bla77}, which is referre...
\section{Introduction} Image Super-Resolution (SR) involves increasing the resolution of images beyond their native resolution and is a long-standing problem in the field of image processing. Here, we focus on Single Image Super Resolution (SISR) which involves estimating sub-pixel scale values based only on a single c...
\section{Introduction} \label{sec:intro} Nuclear matter produced in heavy ion collisions at RHIC and LHC appears to be well described by relativistic fluid dynamics at the time shortly after the collision, i.e. for $t>\tau_H$, where the ``hydrodynamization'' time $\tau_H$ is of the order of $1 - 2$ fm/c \cite{Teaney:2...
\section{Introduction} \label{sec1} The Naturalistic Teenage Driving Study (NTDS), sponsored by the National Institute of Child Health and Human Development (NICHD), was conducted to evaluate the effects of experience on teen driving performance under various driving conditions. It is the first naturalistic stu...
\section{Introduction} \begin{figure*}[t] \centering \includegraphics[width=0.9\textwidth]{main.png} \caption{Results and Intermediate Visualizations. (a) From left to right: scribble-annotation, ground-truth, and our prediction. (b) From left to right: Neural representation before and after the random walk. (c) Leadi...
\section{Introduction} \label{sec:intro} Machine comprehension and question answering on text have significant progress in the recent years. One of the most representative corpora is the Stanford Question Answering Dataset (SQuAD)~\cite{rajpurkar2016squad}, on which deep neural network- (DNN-) based models are compar...
\section{Introduction} It is well known that a set $\{ \varphi_m \}_{ m = 1 }^M$ of $M\,(\geqslant N)$ unit vectors in $\mathbb{R}^N$ satisfies \begin{equation*} \max_{ m \ne n } | \langle \varphi_m ,\varphi_n \rangle | \geqslant \sqrt{ \frac{ M - N }{ N ( M - 1 ) } }, \end{equation*} and equality is attained if and...
\section{Introduction} \label{introduction} Supernova remnants (SNRs) are the imprints of stars that died in supernova (SN) explosions on the interstellar medium (ISM). SNRs return nucleosynthesis products to the ISM, enriching and mixing it with freshly produced heavy elements. A core-collapse (CC) SN is the explo...
\section{Introduction} \label{sec:intro} Tensors provide compact representations for multi-dimensional, multi-perspective data in many problem domains, including image and video processing \cite{Zhang:2008ey, Liu:2013bh, {Kang:2002iu}}, collaborative filtering \cite{Karatzoglou:2010bm,Chen:2005jn}, statistical modelin...
\section{\textbf{Introduction, Definitions and Notations}} \qquad Let $f$ be an entire function defined in the open complex plane \mathbb{C} .$ The\ maximum modulus function $M_{f}\left( r\right) $ corresponding to $f \ (see \cite{14}) is defined on $\left\vert z\right\vert =r$ as $M_{f}\left( r\right) =\QTATOP{\...
\section{Introduction} This note is inspired by \cite{BF} where Braun and dos Santos Filho proved that every polynomial mapping $(p,q):\Rn^2\to\Rn^2$ with everywhere positive Jacobian determinant and such that $\deg p\leq 3$ is a global diffeomorphism. A pair of polynomials $p,q\in\Rn[x,y]$ such that the mapp...
\section{Introduction} \label{sec:intro} Sometimes, the equatorial plane of a star is grossly misaligned with the orbital plane of at least one of its planets \citep[see, e.g.,][]{WinnFabrycky2015,Triaud2018}. The reasons for these high stellar obliquities are unclear. Most of the available data are for stars with ho...
\section{Introduction} We consider the one dimensional compressible Euler equations in the Lagrangian coordinates: \begin{eqnarray}\label{equ-Euler} \begin{cases} \tau_t - u_x = 0,\\ u_t+p_x=0,\\ \left(e+\frac{u^2}{2}\right)_t + (up)_x = 0, \end{cases} \end{eqnarray} where $x$ is the space variable, $t$ is the time var...
\section{Proof of the First Zonklar Equation} \bibliographystyle{IEEEtran} \section{Introduction} With the proliferation of mobile internet usage, WiFi access point (AP) has become a ubiquitous infrastructure in smart environments, ranging from commercial buildings to domestic settings. By analysing the patterns of ...