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2,869,038,155,728
arxiv
\section{Weakly complementary and weakly degradable channels}~\label{s:uno} In quantum mechanics, quantum channels describe evolution of an open system $A$ interacting with external degrees of freedom. In the Sch\"{o}dinger picture these transformations are described by completely positive trace preserving (CPT) linea...
2,869,038,155,729
arxiv
\section{Update in 2021} This manuscript was written in January 2014 and once submitted to ICML 2014. Unfortunately, we did not continue this line of research and did not publish this article either. Today, we decide to publish it and expect the idea and empirical results can be helpful to those who would like to unde...
2,869,038,155,730
arxiv
\section{Introduction \& Motivation} The near-ultraviolet (NUV) spectral range ($\lambda=2000-4000$ \AA) in stellar flares is critical for understanding the underlying physics of the impulsive release of magnetic energy in flares, the explosive hydrodynamic response of the stellar atmosphere, and the effects on ozone c...
2,869,038,155,731
arxiv
\section{Introduction} \input{tex/intro} \section{Approach} \input{tex/approach} \vspace{-0.2cm} \section{Experiment} \input{tex/experiment} \vspace{-0.2cm} \vspace{-0.1cm} \section{Conclusion} \input{tex/conclusion} \bibliographystyle{IEEEbib} \subsection{Theoretical Analysis} \vspace{-0.2cm} Given an well-trai...
2,869,038,155,732
arxiv
\section{Introduction} The Beryllium Electron capture in Superconducting Tunnel junctions (BeEST) experiment uses momentum reconstruction of nuclear Electron Capture (EC) decay in $^7$Be to perform a model-independent search for the existence of heavy neutrino mass states \cite{StephanPRL}. For EC decay, the neutrino ...
2,869,038,155,733
arxiv
\section{Introduction} Physical event detection, such as extreme weather events or traffic accidents have long been the domain of static event processors operating on numeric sensor data or human actors manually identifying event types. However, the emergence of big data and associated data processing and analytics too...
2,869,038,155,734
arxiv
\section{Introduction} QED in two dimensions is a useful toy model to gain an understanding of the theory at finite temperature and chemical potential~\cite{Sachs:1993zx,Sachs:1995dm,Sachs:1991en}. In particular, the physics at zero temperature is interesting since one can study a system that can exist in several pha...
2,869,038,155,735
arxiv
\section{Introduction} \label{intro} It has been widely known that giant molecular clouds (GMCs) have complex and hierarchical structures that can be divided into substructures of clouds, clumps, and cores \citep{1999ASIC..540....3B}. The clumps and cores could be gravitationally unstable \citep{1987ApJ...31...
2,869,038,155,736
arxiv
\section{Introduction} In 2006 Mats Boij and Jonas S\"oderberg conjectured a beautiful structure theorem on the cone of Betti tables of graded modules over the polynomial ring $R=k[x_1,\dots,x_n]$ with standard grading $\deg(x_i)=1$. They described the cone in terms of the extremal rays and gave an algorithm to decompo...
2,869,038,155,737
arxiv
\section{Introduction} Control of robotic manipulators have been a fruitful research field for the last three decades. Due to the nonlinear nature and the presence of uncertain terms in its dynamics, the position tracking control problem for robotic devices have attracted numerous researches. The output feedback contr...
2,869,038,155,738
arxiv
\section{Introduction} Intersection types have been originally developed as an extension of simple types, but they can also be used for refining simple types. In this survey we concentrate on the latter option; more precisely, on the use of intersection types for describing quantitative properties of simply typed l...
2,869,038,155,739
arxiv
\section{Introduction} \label{sec:intro} Virtual assistants allow users to interact with devices such as speakers, phones, watches and headphones via voice commands. Typically, voice commands from a user are prefixed with a \emph{trigger phrase}. The presence of the trigger phrase at the beginning of an utterance he...
2,869,038,155,740
arxiv
\section{Introduction}\label{SecIntro} With the growing prevalence of Internet of things (IoT) devices, constantly collecting information about various physical phenomena, and the growth in the number and processing capability of mobile edge devices (phones, tablets, smart watches and activity monitors), there is a gr...
2,869,038,155,741
arxiv
\section{Introduction} Besides conventional hadrons, QCD suggests the existence of states containing gluonic excitations, such as glueballs and hybrid hadrons. Although conventional hadrons are reasonably well described by the constituent quark model, states with excited glue are still poorly understood. As experiment...
2,869,038,155,742
arxiv
\section{Introduction} One of the fascinating realizations in the interplay of gravitational scattering amplitudes and dynamics of compact binary systems, is the equivalence of minimally coupled spinning particle and rotating black holes. In the analysis of three-point amplitudes of particles with general spin, a un...
2,869,038,155,743
arxiv
\section{Introduction \label{sec:intro}} Precision electroweak measurements suggest that the mass of the Higgs boson in the standard model (SM) should be of ${\cal O}(100)$ GeV. However, this leads to a serious problem, the so-called hierarchy problem, because the Higgs boson mass generally suffers from quadratic div...
2,869,038,155,744
arxiv
\section{Introduction} When quantum particles interact, they can team up to form new particles with fractional charge or spin as observed in two-dimensional electron gases or low-dimensional spin lattices. A particularly fruitful model system to study emerging new particles and their interactions has been the antiferr...
2,869,038,155,745
arxiv
\section{Introduction: statement of the problem} Dual superconductivity of the vacuum was advocated long ago as the mechanism for confinement of colour\cite{1,2,3}. Dual means that the role of electric and magnetic fields and charges are interchanged with respect to ordinary superconductors. The basic idea is that the...
2,869,038,155,746
arxiv
\section{Introduction} One of the most dynamic subjects of differential equations has been the stability theory of Ulam-Hyers. The theme came in 1940 by Ulam in a lecture on unresolved issues at the University of Wisconsin \cite{16,17}. The issue raised by Ulam was partially answered the following year by Hyers in the...
2,869,038,155,747
arxiv
\section{Projections of two-dimensional fits\label{app:suppMat}} \input{supplemental_material} } \cleardoublepage \section{The CMS Collaboration \label{app:collab}}\begin{sloppypar}\hyphenpenalty=5000\widowpenalty=500\clubpenalty=5000\input{BPH-17-005-authorlist.tex}\end{sloppypar} \end{document}
2,869,038,155,748
arxiv
\section{} \textbf{Summary}. - The paper is structured as follows. Sect.\textbf{1}. contains some passages of a recent report by Weisberg and Taylor (see $[1g)]$ regarding thirty years of observations of binary radiopulsar B PSR1913+16. Sect.\textbf{2}.: a straightforward criticism of the relativistic approach which is...
2,869,038,155,749
arxiv
\section{Introduction} A major theme in quantum computation is the idea of {\it analog quantum simulation}. This is the task of simulating one Hamiltonian $H$ by another Hamiltonian $\tilde{H}$, which might be more readily or easily implemented. In fact, this goal was identified as a main motivation for realizing quan...
2,869,038,155,750
arxiv
\section{Properties of the support and uniqueness of the solution} Let $X$ be a complex manifold of complex dimension $n$ and $T$ be a $\ol\partial$-exact $(0,1)$-current on $X$. We will describe some relations between the support of the current $T$ and the support of the solution $S$ of the Cauchy-Riemann equatio...
2,869,038,155,751
arxiv
\section{Introduction}\label{introduction} In the study of Edgeworth type expansions for the limiting distribution of the rightmost eigenvalue from Gaussian Random Matrix Ensembles, we run into finding large $n$ expansions of many key functions. For the Tracy-Widom distribution derivation, one needs the large $n$ ...
2,869,038,155,752
arxiv
\section{Introduction} Let $K$ be a field that is algebraically closed and complete with respect to a non-archimedean non-trivial absolute value. Given a closed subvariety $X$ of a toric variety $Y$ over $K$, one can associate a so-called tropical variety $\Trop(X)$ which is a polyhedral complex. Note however...
2,869,038,155,753
arxiv
\section{Introduction} Let $\gamma_n$ denote the standard Gaussian measure on $\mathbb{R}^n$, and let $K \subset \mathbb{R}^n$ denote a convex body, that is a convex compact set with non-empty interior. For simplicity, we assume that $K$ is origin-symmetric, $K = -K$, and denote by $\norm{\cdot}_K$ the associated norm...
2,869,038,155,754
arxiv
\section{Introduction} Network coding is an exciting new technique promising to improve the limits of transferring information in wireless networks. The basic idea is to combine packets that travel along similar paths in order to achieve the multicast capacity of networks. The network coding scheme called \texti...
2,869,038,155,755
arxiv
\section{Introduction} \begin{figure*}[!t] \centering \includegraphics[width=0.9\linewidth]{Figure1.pdf} \caption{The coarse-grained annotation is generated to achieve salient instance results by the proposed framework. (b) shows the combination of bounding box and salient region annotations. (c) exhibits the coarse-g...
2,869,038,155,756
arxiv
\section{Introduction} \label{sec:introduction} We study certain numerical approximations of the eigenspace associated to a cluster of eigenvalues of a reaction-diffusion operator, namely the unbounded operator $ A=-\Delta -\nu$ in $L^2(\varOmega),$ whose domain is $H^1_0(\Omega)$. Here $ \nu\in L^\infty(\Omega)...
2,869,038,155,757
arxiv
\section{Introduction} Face recognition is an extensively studied topic in computer vision. Among the existing technologies of human biometrics, face recognition is the most widely used in real-world applications, such as the authentication and surveillance systems. According to the modality of data, face recognitio...
2,869,038,155,758
arxiv
\section{Introduction} The transport and stirring of reactive scalars is a problem that naturally arises in many environmental and geophysical situations as well as in engineering applications. Important examples of reactive scalars may be found in oceanic ecosystems e.g. interacting nutrient and plankton populations...
2,869,038,155,759
arxiv
\subsection*{Our results and techniques} We begin our investigation with the revenue objective and give an exact characterization of the optimal mechanism for a single agent with a public budget. While in the absence of budgets the optimal mechanism is a fixed sale price and therefore deterministic, with budgets the...
2,869,038,155,760
arxiv
\section{Introduction and Statement of Results} A level $p$ modular function $f(\tau)$ is a holomorphic function on the complex upper half-plane which satisfies \[ f\left(\frac{a\tau+b}{c\tau+d}\right)=f(\tau)\text{ for all }\left(\begin{smallmatrix}a & b\\ c & d\end{smallmatrix}\right)\in\Gamma_{0}(p)\] and is merom...
2,869,038,155,761
arxiv
\section{Introduction} \label{sec:1} One important way in which non-centrosymmetric superconductors differ from conventional superconductors is in the response to magnetic fields. In particular, the removal of inversion symmetry leads to new terms in the free energy that give rise to magneto-electric effects. These eff...
2,869,038,155,762
arxiv
\section{Introduction} The Google Landmark Dataset v2 (GLDv2) has become a popular dataset for evaluating performance of architectures and methods used for solving large-scale instance-level recognition tasks \cite{weyand2020google}. The original dataset consists of over five million images with over 200,000 classes,...
2,869,038,155,763
arxiv
\section{Introduction} Circumstellar material holds clues about the mass-loss history of massive stars. Indeed, as the winds interact with the interstellar medium (wind-blown bubbles, bow shocks), they leave a characteristic signature that depends on the wind properties. Moreover, the material ejected during short eru...
2,869,038,155,764
arxiv
\section{Introduction} \label{sec:intro} Transferring the knowledge that machine learning models learn from a source domain to a target domain, which is known as transfer learning (Figure \ref{fig:transfer}) \cite{10.1007/978-3-030-01424-7_27, zhuang2020comprehensive}, has shown tremendous success in Natural Language ...
2,869,038,155,765
arxiv
\section{Introduction} Protoplanetary disks are expected to undergo dramatic morphological changes concurrent with the processes of planet formation. Transition disks have been suggested to be observational signatures of this evolution, with their heavily depleted inner dust cavities possibly cleared by nascent gas...
2,869,038,155,766
arxiv
\section{Introduction} \label{sec:intro} \textit{Scale variation}, a phenomenon that detection quality varies dramatically from one scale to another, originating from the imbalanced distribution of objects across different scales. It remains an unsolved challenge in object detection. In nature photography, it is imp...
2,869,038,155,767
arxiv
\section{Introduction and Preliminaries} The aim of this paper is to characterize the parameter domain of non-central Wishart distributions (with shape, scale and non-centrality parameters) and that of Wishart processes, a class of positive semi-definite diffusion processes (with drift parameter). Denote by $\mathc...
2,869,038,155,768
arxiv
\section{Introduction.} The possibility of novel groundstates has been motivating the study of two dimensional frustrated quantum antiferromagnets for quite some time now. In classical unfrustrated antiferromagnets, the ground state is the well known Neel state. The SO(3) spin symmetry of the system is broken down to S...
2,869,038,155,769
arxiv
\section{Introduction} Living systems maintain their physiological equilibrium for survival, called homeostasis~\cite{homeo1, homeo2}. It literally means `staying the same', and is also an important concept for controllers such as thermostats~\cite{thermostat} in engineering. Under fluctuating environment with uncertai...
2,869,038,155,770
arxiv
\section{Introduction} A complex projective manifold $X$ is \emph{rationally connected} if any two general points can be joined by a chain of rational curves. On a rationally connected manifold one can find (many) rational curves $C \subseteq X$ such that $T_X \vert_C$ is ample and deduce that $$ H^0\big(X,(\Omega^1...
2,869,038,155,771
arxiv
\section{Introduction} In this paper, we consider a silicene-based superconductor-normal-superconductor Josephson junction with the silicene nanoribbons lies along the $k_{x}$ (zigzag) direction in a two-terminal geometry as shown in Fig.1. The silicene is divided into three parts, the middle part is deposited o...
2,869,038,155,772
arxiv
\section{Introduction} In this article, we study the following form of the Langevin dynamics equations (``kinetic Langevin dynamics") : \begin{equation}\label{eq:underdamped_langevin} \begin{split} dX_{t} &= V_{t}dt,\\ dV_{t} &= -\nabla U(X_t) dt - \gamma V_{t}dt + \sqrt{2\gamma}dW_t, \end{split} \end{equation} where...
2,869,038,155,773
arxiv
\section{Introduction} \label{intro} The exchange of energy between a gas in contact with a surface is often characterized in terms of the energy accommodation coefficient. Although the origins of the concept of an energy accommodation coefficient can be traced to J. C. Maxwell~\cite{max} it is Knudsen who gave i...
2,869,038,155,774
arxiv
\section{Proof of Lemma \ref{lem:partVC}}\label{app:partVC} In an instance of {\sc 3-SAT}, we are given a set of variables $X$, and a formula encoded as a collection of clauses ${\cal C}$. Each clause $C\in{\cal C}$ is a set of exactly three literals, where each literal is either a variable $x\in X$ or the negation o...
2,869,038,155,775
arxiv
\section{Introduction} \label{section:introduction} The theoretical analysis of state-of-the-art variable metric Evolution Strategies (ESs) is a long-standing open problem in evolutionary computation. While simple step-size adaptive ESs without Covariance Matrix Adaptation (CMA) have been analyzed with good success \c...
2,869,038,155,776
arxiv
\section{Introduction} \begin{figure}[t] \begin{center} \includegraphics[width=1\linewidth]{./image/shouye_00.png} \end{center} \caption{ The deblocking results on image '0007' from Flickr1024~\cite{wang2019flickr1024} at quality factor 10. On the left is the ground-truth (GT). The first row on the right is the...
2,869,038,155,777
arxiv
\section{Introduction} Ultraluminous X-ray sources (ULXs) were initially touted as sub-Eddington accreting intermediate-mass black holes (IMBHs) with BH masses $100 \lesssim M_\mathrm{BH} \lesssim 10^{5}$ M$_{\odot}$ because of their location off the center of galaxies and their X-ray luminosities exceeding the Eddingt...
2,869,038,155,778
arxiv
\section{Introduction:} Among the spin driven multiferroic materials, the orthorhombic (\emph{o}-) perovskite manganites \emph{o}-$\emph{R}$MnO$_{3}$ ($\emph{R}$ = Gd, Tb, and Dy) have been studied extensively \cite{kimura,spaldin,cheong,yamasaki,kimura anual review,tokura}. In GdMnO$_3$, the cycloidal spins that b...
2,869,038,155,779
arxiv
\section{Introduction} \label{sec:intro} Up-to-date observational data suggest that our universe is mainly driven by a pressure-less or cold dark matter (CDM) and a dark energy (DE) fluid where around 96 per cent ($\sim$\; 28 per cent DM $+$ 68 percent DE) of the total energy budget of the universe is occupied by this...
2,869,038,155,780
arxiv
\section{Introduction} \label{sec:intro} Video frame interpolation (VFI) (also known as Video temporal super-resolution) is a significant video enhancement problem which aims to synthesize one or more visually coherent frames between two consecutive frames in a video, i.e., to up-scale the number of video frames. Such...
2,869,038,155,781
arxiv
\section{Introduction} With the proliferation of online social networks, the problem of optimally influencing the opinions of individuals in a population has garnered tremendous attention \cite{Domingos-01, Richardson-01, Kempe-01}. The prevailing paradigm treats marketing as a viral process, whereby the advertiser is...
2,869,038,155,782
arxiv
\section{Introduction} \label{sec:intro} Thus far, end-to-end automatic speech recognition (ASR) models, which use neural networks to transduce audio into word sequences, have demonstrated state-of-the-art results compared to conventional hybrid speech recognizers. Specifically, recurrent neural network transducer (R...
2,869,038,155,783
arxiv
\section{Introduction} In this article we consider a random walk in a balanced uniformly-elliptic time-dependent random environment on $\Z^d, d\ge 2$. For $x,y\in\Z^d$, we write $x\sim y$ if $|x-y|=1$ and $x\not\sim y$ otherwise. Denote by $\mc P$ the set ({\it of nearest-neighbor transition rates on $\Z^d$}) \[ \m...
2,869,038,155,784
arxiv
\section{Introduction} Hadrons with high transverse momentum provide a good probe of the high energy density matter created at RHIC, since the production of high $p_T$ particles is dominated by the initial hard parton-parton scatterings with large momentum transfer $Q^{2}$. After hard-scattering, partons traverse ...
2,869,038,155,785
arxiv
\section{Introduction} A proponderance of evidence indicates that galaxies are embedded in massive, extended dark matter (DM) {\em halos}. Simulations of structure formation in the hierarchical cold dark matter (CDM) paradigm predict that CDM halos are generally triaxial\cite{triaxial,dubinski_carlberg91} that t...
2,869,038,155,786
arxiv
\section{Introduction} BaTiO$_{3}$ is often given as a classic example of a proper ferroelectric where, due to the second-order Jahn-Teller effect, an off-centering of the Ti$^{4+}$ cation from its TiO$_6$ octahedron results in a net polarisation\cite{Bersuker1966}. The resulting ferroelectric properties and high diel...
2,869,038,155,787
arxiv
\section{Introduction} In this paper we are interested in the polynomials $P_n$ that are orthogonal with respect to the weight function $J_{\nu}$ on $[0,\infty)$, where $J_{\nu}$ is the Bessel function of order $\nu \geq 0$. The Bessel function is oscillatory with an amplitude that decays like $\mathcal{O}(x^{-1/2})$ ...
2,869,038,155,788
arxiv
\section{#1}} \newcommand{\renewcommand{\thethm}{\thesection.\arabic{thm}}{\renewcommand{\thethm}{\thesection.\arabic{thm}} \setcounter{thm}{0} } \newcommand{\renewcommand{\thethm}{\thesubsection.\arabic{thm}}{\renewcommand{\thethm}{\thesubsection.\arabic{thm}} ...
2,869,038,155,789
arxiv
\section{Introduction} Consider the assignment problem in which $n$ agents expresses linear orders over $n$ objects and each agent is to be allocated one object~\citep{AbSo99a,ACMM05a,AMXY15a,BoMo01a,Gard73b, Sven94a,Sven99a}. The most famous mechanism for the problem is \emph{random serial dictatorship (RSD)}~\cite...
2,869,038,155,790
arxiv
\section{Introduction} \label{sec:intro} In regularized risk minimization, we consider optimization problems of the form \begin{equation} \label{eq:compfunc} \min_x F(x) \equiv f(x) + g(x), \end{equation} where $f$ is the loss, and $g$ is the regularizer. Typically, $f$ is smooth and convex (e.g., square an...
2,869,038,155,791
arxiv
\section{Introduction} Object detection is one of the fundamental and important issues in the field of computer vision. Remote sensing image object detection is a process of detecting the location of the object of interest from a remote sensing image and identifying its category. Because of the difficulty of feature e...
2,869,038,155,792
arxiv
\section{Introduction}\label{sec:introduction} Algebraic approaches play a fundamental role in mathematics and computing. Algebraic axioms for groups, rings, modules or lattices, for instance, capture certain features of concrete models in an abstract uniform fashion. Fundamental constructions, such as products, quot...
2,869,038,155,793
arxiv
\section{Introduction} \label{sec:intro} In-hand manipulation, understood as the capability to adapt a grasp on an object, facilitates the complex process involved in picking and using an object. Robots, especially those with simple grippers, lack the necessary dexterity to do so, which strains their manipulation cap...
2,869,038,155,794
arxiv
\section{Introduction} \label{s1} \numberwithin{equation}{section} To construct an example of an interacting Quantum Field Theory (QFT) on Minkowski space satisfying the Wightman axioms remains a major challenge of fundamental physics. While a lot of progress has been made in the constructive programme in lower dimen...
2,869,038,155,795
arxiv
\section{Introduction} \label{sec:1} Most young stars form in stellar systems such as stellar clusters and associations \citep{LL03,PCA03}. It is expected that only less than 10\% of young stellar groups will remain gravitationally bound clusters \citep{LL03}, so a significant portion of field stars may originate f...
2,869,038,155,796
arxiv
\section{Introduction} During their red supergiant (RSG) phase of evolution, massive stars (8 $<$ M $<$ 30 M$_\odot$; \citealt{2012A&A...537A.146E}) experience an important mass loss (\tento{-6} - \tento{-4}\msun\,yr$^{-1}$; \citealt{2006ASPC..353..211V}; \citealt{2010A&A...523A..18D}) which strongly impacts their fin...
2,869,038,155,797
arxiv
\section{Introduction} \label{sec:intro} Clustering is a fundamental task with applications in medical imaging, social network analysis, bioinformatics, computer graphics, etc. Applying classical clustering methods directly to high dimensional data may be computational inefficient and suffer from instability. Many rece...
2,869,038,155,798
arxiv
\section{Introduction} One of the most surprising discovery is that black holes behave as thermodynamic objects. Original forms of the first law of black hole thermodynamics do not include a pressure term, while the mass of a black hole is interpreted as the internal energy of spacetime. However, in this case, the Smar...
2,869,038,155,799
arxiv
\section{Introduction} \emph{Weak type estimates} play a fundamental role in harmonic analysis. A prevalent example of a weak type estimate is one satisfied by the Hardy-Littlewood maximal operator $M_{HL}$. Recall that this operator is defined on $L^1(\mathbb{R}^n)$ by $$M_{HL}f(x) = \sup_{x \in B}\frac{1}{|B|}\...
2,869,038,155,800
arxiv
\section{Introduction} \IEEEPARstart{I}{nternet} of things (IoT) devices such as mobile sensors, drones and vehicles, are widely used with emerging applications. Reference \cite{iot_device} mentions that the number of active IoT devices is expected to be over 75 billion by 2025. The massive data generated from these de...
2,869,038,155,801
arxiv
\section{Introduction} \label{intro} Semi-inclusive deep inelastic (SIDIS) processes where a fast meson is detected are an important tool for the knowledge of the internal hadron dynamics. Indeed, the detected meson likely originates from the fragmentation of the quark which absorbed the virtual photon and opens a ...
2,869,038,155,802
arxiv
\section{Introduction}\label{sec:intro} Recently, there have been two novel ideas proposed to exploit coding in order to speed up distributed computing applications. Specifically, a repetitive structure of computation tasks across distributed computing servers was proposed in~\cite{li2016fundamental,LMA_ISIT16,LMA_all}...
2,869,038,155,803
arxiv
\section{Introduction} This paper can be divided into two parts, namely discrete and smooth isoperimetric-type inequalities. In the first part of this paper, we derive a series of sharp higher order discrete Wirtinger inequalities together with their stability results, and use them to obtain sharp bounds for the isop...
2,869,038,155,804
arxiv
\section{Introduction} Ground-based astronomical observations at optical and near-infrared wavelengths suffer from wavelength-dependent absorption by molecules in Earth's atmosphere. These ``telluric'' absorption features, primarily due to H$_2$O, CO$_2$, O$_2$, and CH$_4$, may be particularly problematic for measurem...
2,869,038,155,805
arxiv
\section{Cosmology and ``cosmo-vision''} \label{sec:cosmology} An impressive body of experimental and observational facts, models, conjectures and hypotheses give shape to our current cosmo-vision -- ``Weltanschauung''. This evidence arises from a wide variety of sources including astronomy, physics, chemistry, geolog...
2,869,038,155,806
arxiv
\subsection*{Acknowledgement} The presented work is part of the EU research project TERACOMB (Call identifier FP7-ICT-2011-C, Project No.296500). Additional funding comes from the Swiss National Science Foundation. The funding is gratefully acknowledged. The authors acknowledge the technical support of M.J. S\"uess an...
2,869,038,155,807
arxiv
\section{Introduction} Ordinary differential equations is a natural tool for modeling many phenomena in applied sciences, with a very abundant literature (see e.g. \cite{Arn78,BR89,CL55}) and is rather well understood under many aspects. In a series of recent articles, they have been shown to also correspond to some ...
2,869,038,155,808
arxiv
\section{Introduction} As a high order extension of matrix, the tensor is an important data format for multi-dimensional data applications, such as color image and video processing \cite{sobral2017matrix,Korah2007TIP,Liu2013PAMItensor}, hyperspectral data recovery and fusion \cite{yang2020remote,dian2019hyperspectral,d...
2,869,038,155,809
arxiv
\section{Introduction} \label{sec:intro} Image segmentation with topological correctness is a challenging problem, especially for images with fine-scale structures, e.g., satellite images, neuron images and vessel images. Deep learning methods have delivered strong performance in image segmentation task~\cite{long20...
2,869,038,155,810
arxiv
\section*{Appendices} \section{List of all symbols} \label{sec:listofsymbols} \subsection{Experiments} \begin{tabular*}{\linewidth}{@{\extracolsep{\fill}}l@{\extracolsep{0.5cm}}l@{\extracolsep{\fill}}l@{\extracolsep{0.5cm}}l@{\extracolsep{\fill}}l@{\extracolsep{0.5cm}}l} \texttt{\textbackslash lhcb} & \mbox{LHCb}\x...
2,869,038,155,811
arxiv
\section{I. Phonon calculations}\label{sec:ph} To calculate thermal lattice disorder, we use the ``force constant approach'' \cite{Kresse:epl95s,vanGelderen:prb03s}. In this method, a (quite unrelated) supercell of the material making up the scattering region is constructed, the central atom is displaced by a small amo...
2,869,038,155,812
arxiv
\section{Introduction} Recovering a high dimensional sparse signal by acquiring it through a linear measurement process returning fewer observations than its dimension is a problem often encountered in the digital signal processing literature. The field of research associated with such problems is often known to resear...
2,869,038,155,813
arxiv
\part*{Appendices} \counterwithin{figure}{section} \counterwithin{table}{section} \counterwithin{equation}{section} \section{Additional Results} \subsection{Additional Results from the Paper} \begin{figure}[H] \centering \includegraphics[width=\linewidth]{figures/online_ft_curve.pdf} \vspace{-0.4cm} ...
2,869,038,155,814
arxiv
\section{Introduction} The properties of a variety of astrophysical objects are essentially determined by the high-density equation of state (EOS) of hydrogen \cite{G_05,F_09}. Hydrogen is fully ionized at these high densities independent of the temperature. In this metallic phase, the electrons can be of arbitrary de...
2,869,038,155,815
arxiv
2,869,038,155,816
arxiv
\section{Introduction} \label{sec1} A large amount of work has been devoted in the last few decades to the study of granular matter (materials composed by many mesoscopic particles that collide inelastically). When the granular material is externally excited (rapid flow conditions), the behavior of solid particle...
2,869,038,155,817
arxiv
\section{Introduction} Cooperative control of multi-agent systems has traditionally focused on designing local control laws in order to achieve tasks such as consensus, formation, network connectivity, and collision avoidance (\cite{ren_beard_concensus, olfati_murray_concensus, jadbabaie_morse_coordination, zavlanos_c...
2,869,038,155,818
arxiv
\section{Introduction} The ongoing accelerator based experiments in the search for new physics can solve some of the unanswered problems of the fundamental physics like matter-antimatter asymmetry. A complementary to these high energy experiments is the search for violation in spatial inversion (${\mathcal{P}}$) and ti...
2,869,038,155,819
arxiv
\section*{Introduction} A smooth projective surface \(X\) over an algebraically closed field is said to have \emph{Bounded Negativity} if there exists a positive integer \(b(X)\) such that \(C^2 \geq -b(X)\) for any reduced curve \(C \subset X\). A folklore conjecture, going back to Enriques and discussed in \cite[Conj...
2,869,038,155,820
arxiv
\section{Introduction} At low temperatures three-dimensional Bose gas undergoes Bose-Einstein condensation, characterized by macroscopic occupation of the zero-momentum state. This feature enabled Bogoliubov in 1947 to develop a mean field theory of weakly-interacting Bose gas \cite{bogoliubov47,stringaribook}. In t...
2,869,038,155,821
arxiv
\section{Introduction} Two fundamental structures for understanding the geometrical aspects of quantum states are the quantum metric tensor formulated by Provost and Vallee~\cite{Provost1980,Wootters1981} and the geometric phases, in particular, the phase discovered by Berry~\cite{Berry45}. The quantum metric tensor i...
2,869,038,155,822
arxiv
\section{} 1. \emph{Introduction.} \smallskip Let $S$ be an algebraic space and $X$ an $S$-algebraic space. One says that $X$ is a \emph{non-degenerate} $S$-\emph{abelian fibration} if there is an $S$-abelian algebraic space $A$ such that $X$ is an $A$-torsor on $S$ for the \'{e}tale topology in which case $A$ is the...
2,869,038,155,823
arxiv
\section{Introduction} Friction between sliding surfaces is a common phenomenon which plays an important role in everyday life. Like all transport properties, however, friction is ultimately the result of microscopic interactions between particles. Recent years have witnessed a surge of interest in understanding the mi...
2,869,038,155,824
arxiv
\section{Introduction} \begin{figure*}[htb] \centering \includegraphics[width=2.0\columnwidth]{block_diagram3.png \caption{Our AMC system model with adversarial interference. The shaded blocks correspond to our time and frequency-domain classifiers.} \label{block_diagram} \end{figure*} \IEEEPARstart{T}{he} recent...
2,869,038,155,825
arxiv
\section{Introduction} \label{sect:intro} AdS/CFT correspondence \cite{Maldacena:1997re, Gubser:1998bc, Witten:1998qj} is a powerful tool to solve the strongly coupled physics from the one dimensional higher weakly coupled gravity in some limit, which is also dubbed `holography'. In recent years, the applied holography...
2,869,038,155,826
arxiv
\section{Approach} In this section, we introduce the three shift primitives which we find sufficient for producing fast CNN models. We then fuse these shift primitives together with pointwise group convolution to create two efficient modules and from these we create novel deep neural networks. \subsection{Channel S...
2,869,038,155,827
arxiv
\section{Introduction} \label{sec:org4eee532} Reconstructing surfaces from scanned 3D points has been an important research area for several decades. With the wide proliferation of 3D scanners, the problem of surface reconstruction has received significant attention in the graphics and vision communities. In recent ye...