uuid
int64
541B
3,299B
dataset
stringclasses
1 value
text
stringlengths
1
4.29M
1,108,101,565,615
arxiv
\section{Method} \label{sec:method} At every step of active learning, we divide the entire training data by three pools. At first, the \textit{unlabeled pool} ($\mathcal{P}^o$) contains all the samples that are not labeled yet. The \textit{labeled pool} ($\mathcal{P}$) consists of the other sa...
1,108,101,565,616
arxiv
\section{Introduction} Numerous astrophysical observations, such as galaxy rotational curves \cite{1980ApJ...238..471R,1982ApJ...261..439R}, velocity dispersions \citep{1976ApJ...204..668F}, and gravitational lensing \citep{Massey:2010hh} reveal the existence of invisible matter, the so-called dark matter. In combinat...
1,108,101,565,617
arxiv
\section*{Introduction} Semiconductor avalanche photodiodes (APD's) are versatile for weak light detection, with applications from remote ranging\cite{Wehr1999,Schreiber1999}, quantum communication \cite{yuan2018} and fluorescence lifetime imaging\cite{Damalakiene2016} to optical time-domain reflectometry \cite{Healey...
1,108,101,565,618
arxiv
\section{Introduction} Perturbation theory for gauge theories at finite temperature suffers from infrared singularities and gauge dependent results for physical quantities. These problems are avoided by using an effective perturbation theory (Braaten-Pisarski method \cite{ref1}) which is based on the resummation of ha...
1,108,101,565,619
arxiv
\section{Introduction} The discovery of the Higgs boson with a mass of about 125~GeV \cite{Atlas:2012gk,CMS:2012gu} has a strong impact on the parameter range of supersymmetric models. In particular in the Constrained Minimal Supersymmetric Standard Model (CMSSM) large regions of the parameter space are not consistent ...
1,108,101,565,620
arxiv
\section{Introduction}\label{s1} \hskip\parindent John and Nirenberg \cite{jn61} introduced the {\it space ${\mathrm {BMO}\,}(\rn)$}, which is defined to be the space of all $f\in L_{\rm loc}^1(\rn)$ such that $$\|f\|_{\rm BMO\,(\rn)}\ev\sup_{{\rm ball}\ B\st\rn}\frac1{|B|} \int_B|f(x)-f_B|\,dx<\fz,$$ where and...
1,108,101,565,621
arxiv
\section*{Theory of cascaded-mode resonances} The functionality of electromagnetic resonators can be understood from the constructive interference of waves---creating resonant modes. A crucial parameter that determines these modes is the round-trip phase $\Delta \phi$, accumulated by the field after completing one roun...
1,108,101,565,622
arxiv
\section{Introduction}\label{introduction} Let $f = \sum_{j = 0}^d a_j X^j\in \mathbb{R}[X]$ be a univariate polynomial of degree $d \in \mathbb{Z}^+$. It is a classical result due to Newton (see \cite{HLP}, \S2.22 and \S4.3 for two proofs) that whenever all the roots of $f$ are real, then the coefficients of $f$ s...
1,108,101,565,623
arxiv
\section{Introduction} \label{sec:introduction} The COVID-19 pandemic is an ongoing epidemic of the coronavirus disease~\cite{cao2020covid}. The epidemic was declared a public health emergency of international concern by the World Health Organization (WHO) and it is impacting all aspects of life. At the same time, the ...
1,108,101,565,624
arxiv
\section{Preliminaries} The configuration space $\Ga :=\Ga _{\R^d}$ over $\R^d$, $d\in\N$, is defined as the set of all locally finite subsets of $\R^d$, \begin{equation} \Ga :=\left\{ \ga \subset \R^d:\left| \ga_\La\right| <\infty \text{ for every compact }\La\subset \R^d\right\} , \end{equation} where $\left| \cdot \...
1,108,101,565,625
arxiv
\section{Introduction} \input{text/1.introduction} \section{Materials and Methods} \input{text/2.method} \section{Results} \input{text/3.results} \section{Analysis and Discussion} \input{text/4.discussion} \section{Conclusion} \input{text/5.conclusion} \section{Acknowledgements} This study was supported in pa...
1,108,101,565,626
arxiv
\section{Introduction} For time to event outcomes, hazard models are convenient because they allow for straightforward regressions on covariates. Nevertheless, it is well-known that estimates on the hazard scale, e.g.\ hazard ratios (HRs), are hard to interpret causally \citep{robins1989probability, greenland1996absenc...
1,108,101,565,627
arxiv
\section{Introduction}\label{s1} \IEEEPARstart{G}raph-based representations have been widely employed to model and analyze data that lies on high-dimensional non-Euclidean domains and that is naturally described in terms of pairwise relationships between its parts~\cite{DBLP:conf/nips/DefferrardBV16,DBLP:journals/tnn/Z...
1,108,101,565,628
arxiv
\section*{Executive Summary} The document at hand describes the physics case, the key experiments proposed and the technical solution for the project ``WASA at COSY'', which concerns the transfer of the WASA pellet-target and detector system from CELSIUS (TSL, Uppsala, Sweden) to COSY (FZJ, J\"ulich, Germany) and its ...
1,108,101,565,629
arxiv
\section{Analytical Insights from $2 \times 2$ MIMO} In this section, we provide detailed insight regarding quantization via the $2 \times 2$ system. By analysis of a limiting noiseless regime, we prove that phase-only quantization cannot yield unique decodability, while amplitude-phase quantization can. \subsection...
1,108,101,565,630
arxiv
\section{Introduction} \label{sec:introduction} Let $\Gr = (\Gr,+)$ be an abelian group. For two sets $A,B\subseteq \Gr$ define the {\it sumset} as $$A+B := \{ x\in \Gr ~:~ x=a+b \,,a\in A\,,b\in B \}$$ and, similarly, the {\it difference} set $$A-B := \{ x\in \Gr ~:~ x=a-b \,,a\in A\,,b\in B \} \,.$$ Also...
1,108,101,565,631
arxiv
\section{Introduction} The classical Ericksen-Leslie theory (\cite {Er}, \cite {Le}) successfully describes the dynamic flow of uniaxial nematic liquid crystals. In \cite{BE94}, Beris-Edwards pointed out that the Ericksen-Leslie flow theory has a limited domain of applications to liquid crystals. Therefore, base...
1,108,101,565,632
arxiv
\section{Introduction} \label{intro} The investigation of the physical mechanisms for the generation of ocean waves by wind has a long history which starts at the beginning of the 20th century~\cite{1925RSPSA.107..189J} and is still ongoing. The problem is highly nonlinear~\cite{JanssenBook} and the feedback at the ...
1,108,101,565,633
arxiv
\section{Case study: Toy bars data} To understand how different training objectives impact both predictive performance and interpretability of topic-word parameters, we consider a version of the toy bars dataset inspired by \cite{griffiths:2004:fst}, but changed so the optimal $\phi$ parameters are distinct for unsupe...
1,108,101,565,634
arxiv
\section{Introduction} Continuing theoretical advances in lattice gauge theory, especially in chiral fermion formulations and fermion simulation algorithms, and increasing computational resources are making systematic continuum extrapolation of many QCD quantities without uncontrolled systematic error a reality. RBC ...
1,108,101,565,635
arxiv
\section*{Acknowledgements} The research leading to these results is supported by the SmartData@PoliTO center for data analysis and Big Data technologies. \biboptions{sort&compress} \small \bibliographystyle{ieeetr} \section{Introduction} \label{sec:intro} Year by year, new services are born as the Internet connec...
1,108,101,565,636
arxiv
\section{Motivation and Examples} If ${\mathbf{C}}$ is a category then a functor $$F : {\mathbf{C}}^{\mathrm{op}} \to {\mathbf{Set}}$$ also called a ``presheaf over ${\mathbf{C}}$'' is most naturally considered as a ``set varying over ${\mathbf{C}}$''. Of course, one may consider also contravariant functors on ${\mat...
1,108,101,565,637
arxiv
\section*{APPENDIX} \bibliographystyle{./IEEEtranBST/IEEEtran} \section{Methods} \label{sec:methods} Our proposed shape estimation method is a learned multi-view shape estimation from grayscale images. First, different views of the desired object are captured by two cameras. Then, unnecessary information in the i...
1,108,101,565,638
arxiv
\subsubsection{The Model} As mentioned earlier, several candidates for pairing of unequal Fermi surfaces have been proposed in the literature. The Sarma phase~\cite{Sarma} and the prior version of the BP phase~\cite{Wilczek1}, are unstable~\cite{Heron1,Heron2,Wilczek3}, and will not be considered. Regarding the LOFF s...
1,108,101,565,639
arxiv
\section{Introduction} \PARstart{S}{hape} decomposition is a fundamental problem in geometry processing where an arbitrary object is regarded as an arrangement of simple primitives \cite{Kaick2015ShapeAnalysis, Zhou2015GeneralizedDecomposition} or semantic components \cite{Au2008SkeletonContraction, Berretti20093DGraph...
1,108,101,565,640
arxiv
\section{Introduction} In a 1990 paper \cite{Knuth90} Knuth introduced the class of nested CNF formulas and showed that their satisfiability can be decided in polynomial time. A CNF formula is \emph{nested} if its variables can be linearly ordered such that there is no pair of clauses that \emph{straddle} each other;...
1,108,101,565,641
arxiv
\section{Introduction} \label{sec:1} The self-gravitating collisionless fluid dynamics (SG-CFD) is the study of motion of collisionless matter under the influence of its own gravity. A typical example is the large-scale gravitational collapse of collisionless system \citep{Lukic:2007-The-halo-mass-function--High-r}. Th...
1,108,101,565,642
arxiv
\section{Introduction} The electromagnetic signature of core-collapse supernovae has been exploited comprehensively and thoroughly by countless observations during the past decades, providing only indirect information about the explosion mechanism, however. The up to now only recorded neutrino signal of a core-collaps...
1,108,101,565,643
arxiv
\section{\label{intr}Introduction} Recently, a new Eddington-inspired theory of gravity with a Born-Infeld like structure \cite{Born:1934gh} has been proposed by Banados and Ferreira \cite{Banados:2010ix} (see also \cite{Deser:1998rj,Vollick:2003qp,Wohlfarth:2003ss,Nieto:2004qj,Comelli:2005tn,Vollick:2005gc,Zinoviev:2...
1,108,101,565,644
arxiv
\section{Introduction} Frustrated magnetic systems are characterized by competing magnetic interactions, which allow for a number of different, yet energetically nearly degenerate, magnetic states. As a result, already a subtle perturbation, e.g., a weak additional interaction or anisotropy, can completely change the ...
1,108,101,565,645
arxiv
\section{\bf Introduction} \label{sec:intro-jja} The physics of Josephson junctions arrays (JJA) has been a subject of significant interest in the last ten years \cite{mooij-schon}. A large number of studies, both experimental \cite{mooij_van-wees_geerligs_peters_fazio_schon,van-der-zant_geerling_mooij-92,tighe-tuom...
1,108,101,565,646
arxiv
\section{Introduction} The ability to focus, trap, and guide the propagation of waves on subwavelength scales is of fundamental importance in physics. Systems of subwavelength resonators have, in particular, been shown to have desirable and sometimes remarkable properties thanks to their tendency to interact very str...
1,108,101,565,647
arxiv
\section{Centralised Sparse Representation}\label{sec:csr} \vsp A different approach to take into account self similarities in sparse models is the CSR approach of \cite{dong2012nonlocally}. This approach is easier to turn into a differentiable algorithm than the LSSC method, but we have empirically observed that it ...
1,108,101,565,648
arxiv
\section*{Introduction} \ssec{} Let $G$ be a simple complex algebraic group and $B$ its Borel subgroup. Consider the category $\on{D}(G/B)\mod$ of left D-modules on the flag variety $G/B$. The Lie algebra $\fg$ of $G$, and hence its universal enveloping algebra $U(\fg)$, acts on the space $\Gamma(G/B,{\mc F})$ of glob...
1,108,101,565,649
arxiv
\section{Introduction} Masses of thin actinide samples, often a mix of several isotopes, are routinely inferred by counting spontaneously emitted $\alpha$-particles with silicon detectors or gas-based 2$\pi$ or 4$\pi$ counters \cite{Pomme2007}. Traditionally, when measurements of actinide sample mass have been used to...
1,108,101,565,650
arxiv
\section{Introduction} \label{intro} Formation and evolutionary processes of stellar and planetary systems are expected to leave their imprint on the present-day systems. One such imprint is the stellar obliquity, the angle between the stellar spin axis and the orbital angular momentum axis, also referred to as the sp...
1,108,101,565,651
arxiv
\section{introduction} The exploration of the connection between statistical mechanics and quantum information has been extensive in recent years since the work \cite{preskill}. Especially the research of entanglement in many-body systems has contributed to the comprehensive crossover between the two hot areas \cite{af...
1,108,101,565,652
arxiv
\section{Introduction} The most well-known theory for describing the mechanism behind superconductivity from microscopic perspective is the BCS theory proposed by Bardeen, Cooper and Schrieffer. According to BCS theory, the condensation of Cooper pairs into a boson-like state, at low temperature, is responsible for in...
1,108,101,565,653
arxiv
\section{Introduction} Liouville type theorems for several kinds of nonlinear elliptic equations in half space have already been extensively studied. For the semilinear elliptic equation $-\Delta u=|u|^{p-2}u$ in $\mathbf R_+^n$ with zero-Dirichlet boundary condition when $n\geq3$ and $2<p<2n/(n-2),$ Gidas and Spruck ...
1,108,101,565,654
arxiv
\section{Introduction} Hypergeometric series with noncommutative parameters and argument, in the special case involving square matrices, have been the subject of recent study, see e.g.\ the papers by Duval and Ovsienko~\cite{DO}, Gr\"unbaum~\cite{G}, Tirao~\cite{T}, and some of the references mentioned therein. Of cou...
1,108,101,565,655
arxiv
\section{Conclusion} In this paper, we proposed $\mu$-cuDNN, a wrapper library for cuDNN , which divides the mini-batch to utilize high-performance convolution algorithms with limited amount of memory for workspace. We have shown that $\mu$-cuDNN \ works well even with recent CNNs, which are composed of many convolutio...
1,108,101,565,656
arxiv
\section{Introduction} \label{sec:intro} The flavor changing processes in the ${s}-{b}$ sector are sensitive probe of new physics (NP) beyond the standard model (SM) because they are experimentally the least constrained. In the minimal supersymmetric standard model (MSSM), however, the flavor mixing in the chirality f...
1,108,101,565,657
arxiv
\section{Introduction} The mass metallicity relationship (MZR) is an important galaxy scaling relation that describes the coevolution of galaxies and their metal content~\citep[e.g.][]{Tremonti2004}. Over the past several years, observational results have begun to indicate that the scatter in the MZR may be correlated ...
1,108,101,565,658
arxiv
\section{Introduction} \label{sec:intro} Rapid shifts in technology and business models have led to a mismatch between the skills needed by employers and the skills possessed by the labor force. It has been estimated that this mismatch will seriously hinder progress on climate change and reduce manufacturing output by...
1,108,101,565,659
arxiv
\section{Introduction}\label{sec:intro} Classification of phases of matter has been one of the most fundamental problems in the physics of many-body systems. Different phases of matter have been classified by their symmetries, which led to the theory of spontaneously symmetry breaking~\cite{landau1937theory, ginzbur...
1,108,101,565,660
arxiv
\section*{1 Introduction} Problems associated with large order behaviour of perturbation series coefficients were examined in many papers. It was F.Dyson \cite{D} who argued in 1952 that perturbation series in quantum field theory diverges. Asymptotics of coefficients at high orders which is useful, for example, for ...
1,108,101,565,661
arxiv
\section{Introduction} \IEEEPARstart{I}{n} recent years, we can observe an increase in the global facial recognition market size, mainly due to the growth of importance of the surveillance industry, investment by the government and defense sector and increasing technological advancement across industry verticals~\cite...
1,108,101,565,662
arxiv
\section{Introduction} The 6.4 keV Fe K$\alpha$ emission line has long been known to be an important diagnostic of the material accreting onto supermassive black holes. The Compton reflection hump, frequently seen in Seyfert spectra above $\sim$7~keV and peaking near 20--30 keV (Pounds et al.\ 1990), indicates that ...
1,108,101,565,663
arxiv
\section{Introduction} The quest for quantum computer with intrinsic fault tolerance spurs recent interest in searching for exotic fractional quantum Hall (FQH) states that support non-Abelian anyons~\cite{nayak08}. While it is easy to write down a trial wave function with highly nontrivial statistics, the realization...
1,108,101,565,664
arxiv
\section{Introduction} In this contribution I would like to discuss some of the conceptual and physical issues surrounding the approach to noncommutative geometry coming out of quantum groups and braided groups, in somewhat greater depth than I had time for in my lecture in Goslar. The discussion is intended to be int...
1,108,101,565,665
arxiv
\section*{Acknowledgements} The authors wish to acknowledge the support of the grant DEC-2012/06/A/ST2/00389 from the National Science Centre Poland. \bibliographystyle{unsrt}
1,108,101,565,666
arxiv
\section{Introduction} Figure \ref{fig:teaser} shows a high scoring detection from an object detector with HOG features and a linear SVM classifier trained on a large database of images. \changed{\emph{Why} does this detector think that sea water looks like a car?} \begin{figure} \centering \includegraphics[width=\l...
1,108,101,565,667
arxiv
\section{Introduction}\label{Sec1} We define ${\mathcal Q} _n(w)$ (where $n \ge 1$ and $-1 <w < \frac{1}{n-1}$) as in the Abstract, and let ${\mathcal O} _n := {\mathcal Q} _n(0)$, ${\mathcal P} _n := {\mathcal Q} _n(\frac{1}{n})$. Hadwiger~\cite{Hadw1951} showed in 1951 (see also Hertel~\cite{Hert2003}) that ${\m...
1,108,101,565,668
arxiv
\section{Introduction} This paper is devoted to a study of conservation laws and symmetries for a class of time-dependent generalized Korteweg-de Vries equations \begin{equation}\label{gkdv} u_t +f(t,u)u_x + u_{xxx} =0 \end{equation} with \begin{equation}\label{conds} f|_{u=0}=0, \quad f_{u}\neq 0 . \...
1,108,101,565,669
arxiv
\section{Introduction} The rise of antiferromagnetic spintronics~\cite{Baltz2018} brought about renewed interest in 'old' materials where aspects previously disregarded have now become important. One of the those materials, which has been known~\cite{Bronger1986} to be an antiferromagnet (AFM) since 1980's and has onl...
1,108,101,565,670
arxiv
\section{Method} \label{sec:approach} We propose a novel end-to-end framework for cross-domain label-adaptive stance detection. Our architecture (see Figure~\ref{fig:approach:moe}) is based on input representations from a pre-trained language model, adapted to source domains using Mixture-of-Experts and domain adve...
1,108,101,565,671
arxiv
\section{Introduction} \label{sec:intro} The present 3\% experimental precision on $\mathcal{B}(\pi^0_\text{D})$\footnote{% We use the shorthand notation $\pi_f^0\coloneqq\pi^0\to f$, with $\text{D}\coloneqq e^+e^-\gamma$ and $\text{DD}\coloneqq e^+e^-e^+e^-$. }~\cite{Tanabashi:2018oca} represents a limitation for rar...
1,108,101,565,672
arxiv
\section{introduction} In this work, we consider the problem of Quantitative Group Testing (QGT). Consider a set of $N$ items among which $K$ items are defective. The QGT problem is to identify (all or a sufficiently large fraction of) the defective items, where the result of a test reveals the number of defective item...
1,108,101,565,673
arxiv
\section{Introduction} Magnetism and superconductivity appear nearby in typical phase diagrams of transition-metal and heavy-fermion compounds. Magnetism is related to the Mott insulating state and heavy-fermion formation, which can be described in terms of local correlations. On the other hand, unconventional super...
1,108,101,565,674
arxiv
\section{Introduction} \label{section:introduction} Radio relics appear as diffuse synchrotron radio sources in the peripheral regions of some merging or cool-core clusters, typically showing an elongated morphology with a linear extent and strong polarization up to the 30\% level in integrated linear measurement \cite...
1,108,101,565,675
arxiv
\section{#1}} \newcommand{\sect}[1]{{\bf{#1.} }} \begin{document} \title{Categorization of two-loop Feynman diagrams in the $\mathcal O(\alpha^2)$ correction to $e^+e^- \rightarrow ZH$ \thanks{This work was supported by the National Natural Science Foundation of China under Grant No. 11675185 and 12075251.} } \autho...
1,108,101,565,676
arxiv
\section{Introduction} The following theorem is one of the main results of this paper. Our proof of Theorem \ref{f-thm1.1} uses the framework of the toric Mori theory developed by \cite{reid}, \cite{fujino-notes}, \cite{fujino-equiv}, \cite{fujino-osaka}, \cite{fujino-sato}, and so on. \begin{thm-a}[Theorem \ref...
1,108,101,565,677
arxiv
\section{#1}} \newcommand{\newsubsection}[1]{\setcounter{equation}{0} \setcounter{dfn}{0} \subsection{#1}} \renewcommand{\theequation}{\thesection.\arabic{equation}} \newtheorem{dfn}{Definition}[section] \newtheorem{thm}[dfn]{Theorem} \newtheorem{lmma}[dfn]{Lemma} \newtheorem{ppsn}[dfn]{Proposition} \newtheorem{crlre...
1,108,101,565,678
arxiv
\section{Introduction} We introduce a random graph $\ensuremath{\mathcal G}$, called \emph{Poisson $h$--generalized Boolean model}, with vertexes in ${\ensuremath{\mathbb R}} ^d$ where $d\geq 2$, whose construction depends on a structural symmetric function $h(\cdot, \cdot)$ with real entries, a parameter $\l>0$...
1,108,101,565,679
arxiv
\section{Introduction} Point processes serve as canonical models for dealing with support estimation. Poisson point processes (PPP) appear in the continuous limit of nonparametric regression models with one-sided or irregular error variables, cf. Meister and Rei\ss\ \cite{Meister13}, and thus form counterparts of the ...
1,108,101,565,680
arxiv
\section{Introduction} In the NLP literature, neural networks generally conduct a fixed number of computations over all words in a sentence, regardless of whether they are easy or difficult. In terms of both efficiency and ease of learning, it is preferable to dynamically vary the numbers of computations according to t...
1,108,101,565,681
arxiv
\section{Introduction} Methods for prediction of instability and transition have evolved considerably during the past several decades. Advances, driven by increases in computer speed and memory, include the availability of high-fidelity DNS and LES solutions for canonical wall-bounded flows \citep{sayadi2013direct}, ...
1,108,101,565,682
arxiv
\section{Discussion} \label{sec:conclusion} In this paper, we propose a novel self-supervised prior with a joint-level spatial-temporal layer for recovering human motions from monocular occluded videos. For better generalization ability, we represent the human motion in 2D maps, and thus we can employ a lot of non-oc...
1,108,101,565,683
arxiv
\subsection{Authentication in Disk Drive} \vspace{-0.15in} \subsection{Disk-level Access-Control} \label{sec:auth_disk} {\textsc{Key-SSD}} implements a disk-level access-control mechanism where unauthorized requests are denied by the disk drive. Access authentication is performed using such computational resources ...
1,108,101,565,684
arxiv
\section{Introduction} \label{SEC:intro} Charles Babbage was an English mathematician, philosopher, inventor, mechanical engineer, and ``irascible genius'' who pioneered computing machines \cite{babbagebio,beyer,grabiner,moseley,mactutor,odonnell}. Although he held the Lucasian Chair of Mathematics at Cambridge Univer...
1,108,101,565,685
arxiv
\section{Security Analysis} \subsection{Outline} We begin our security analysis by describing how we model the honest and dishonest scenarios, i.e.~what assumptions are made on the devices used to execute the protocol. In Section~\ref{sec:fault-tolerant-rbc} we describe a generalized protocol, in which the states emi...
1,108,101,565,686
arxiv
\section{Introduction}\label{Intro} Normal polytopes show up in various contexts, including algebraic geometry (via toric varieties), integer programming (integral Carath\'eodory property), combinatorial commutative algebra (quadratic Gr\"ob\-ner bases of binomial ideals), and geometric combinatorics (Ehr\-hart theory...
1,108,101,565,687
arxiv
\section{Introduction} Ever since Black, Merton, and Scholes introduced their celebrated option valuation formula~\cite{black:scholes:paper,merton:bspaper} a great deal of effort has been dedicated to reproduce that result using more realistic stochastic models for the underlying asset. In the discrete time modeling ...
1,108,101,565,688
arxiv
\section{\qquad Introduction} This work was originally motived by mathematical proofs that a positive frequency field cannot be confined to a finite region of space. According to the Hegerfeldt theorem a positive frequency field localized in a finite region for an instant spreads immediately throughout space \cit...
1,108,101,565,689
arxiv
\section{ALGORITHM}\label{sec:algo} The key assumption that motivates RNM is a smoothness condition that goes beyond the standard assumptions in the optimization literature, where smoothness would be characterized by a symmetric quadratic with the radius $L$. Instead, Assumption \ref{ass:smooth} below is...
1,108,101,565,690
arxiv
\section{Introduction} Two-player games on finite graphs which admit infinite plays are of fundamental importance in many areas of logic and computer science, especially in the formal analysis of reactive systems, where they model the non-terminating interaction between a system and its environment. In such a game, t...
1,108,101,565,691
arxiv
\section*{Introduction: a new tool for nanotechnology} Although based on physical principles it should be possible to assemble matter atom-by-atom, only few attempts at such manipulation have been successful. The first and so far only methods to truly achieve this goal are scanning probe microscopies (SPM), scanning t...
1,108,101,565,692
arxiv
\section{Introduction} Active galactic nuclei (AGNs) are classified as type-1 or type-2, depending on the presence or absence of broad optical emission lines. The existence of different classes of AGNs can be explained by the unified model \citep{Antonucci1993}, which is based on the orientation of the optically thick ...
1,108,101,565,693
arxiv
\section{Introduction} \label{sec:intro} More and more research institutes and scientists consider attaching camera to Autonomous Underwater Vehicles (AUVs) and Remotely Operated Vehicles (ROVs) in order to perform different underwater tasks, such as marine organism capturing, ecological surveillance and biodiversity...
1,108,101,565,694
arxiv
\section{Introduction} We describe FAR (Forward Abstracted Reachability), an algorithm for fully automatic verification of parameterized software systems. A parameterized system describes a family of programs such as cache coherence protocols where the number of processes involved can change but the algorithm handling ...
1,108,101,565,695
arxiv
\section{Introduction} Parity games are games played on a directed graph without leaves by two players, Even (0) and Odd (1). A node has an owner (a player) and an integer priority. A play is an infinite path in the graph where the owner of a node chooses which outgoing edge to follow. A play and its nodes is won by ...
1,108,101,565,696
arxiv
\section{Introduction} \label{sec:introduction} Trajectory prediction is a fundamental and challenging task, which needs to forecast the future path of the agents in autonomous applications, such as autonomous vehicles, socially compliant robots, agents in simulators, to navigate in a shared environment. With multi...
1,108,101,565,697
arxiv
\section{Introduction} One of the possible ways for building completely integrable quantum systems is the {\it inverse method of separation of variables} based on the use of the so-called {\it multi-parameter spectral equations}. The idea is to interpret these equations as the result of separating variables in ...
1,108,101,565,698
arxiv
\section*{List of Accepted Publications} \begin{itemize} \item {\em Shai Bagon}, {\bf Boundary Driven Interactive Segmentation}. Published in the proceedings of the 3$^{rd}$ International Conference on Information Science and Applications (ICISA), 2012. \item {\em Sebastian Nowozin, Carsten Rother, Shai Bagon, Toby Sh...
1,108,101,565,699
arxiv
\section*{Executive Summary} \section*{Executive Summary} We propose the development of a muon-proton and muon-nucleus collider, referred to as a ``muon-ion collider'' (MuIC), that utilizes the existing hadron accelerator facilities at Brookhaven National Laboratory (BNL), Fermilab, or CERN while seeding, or lev...
1,108,101,565,700
arxiv
\section*{Introduction} \paragraph{} Observational and numerical data (\citet{ros}) stress the dynamical consideration of spiral arms as for stars have been observed to migrate radially through the spiral arms leaving significant distances between their observed positions and birthregions. It is well known that spiral ...
1,108,101,565,701
arxiv
\section{Introduction} \label{sec:intro} Solar filaments/prominences are one of the most common structures in the corona, which may lead to energetic coronal mass ejections (CMEs) and flares when they erupt \citep{che00,for00,lin00,yan13,xue16,yang17}. They appear at the limb as bright features called prominences. In c...
1,108,101,565,702
arxiv
\section{Introduction} Consider the space $\ensuremath{\mathbb{F}}^n_2$ of dimension $n$ over the Galois field $\mathbb{F}_2 = \{0,1\}$. A binary \emph{code} of length $n$ is a subset of $\ensuremath{\mathbb{F}}^n_2$. The \emph{(Hamming) distance} $d({\bf x}, {\bf y})$ between two codewords ${\bf x}$, ${\bf y}$ is the...
1,108,101,565,703
arxiv
\section{Introduction} Each irreducible representation of a simple Lie algebra is defined by a set of weights which, for rank two algebras, can be conveniently arranged in a two-dimensional weight diagram. These weights result from successive applications of the lowering operators $E_{-\alpha}$ corresponding to the ...
1,108,101,565,704
arxiv
\section*{Introduction} \noindent Let $G$ be a simple algebraic group with Lie algebra $\g$, $\EuScript U(\g)$ the enveloping algebra, and $\Phi$ the Killing form on $\g$. If $\h\subset\g$ is a reductive subalgebra, then $\Phi\vert_\h$ is non-degenerate and $\me:=\h^\perp$ is a complementary $\h$-submodule of $\g$, ...
1,108,101,565,705
arxiv
\section{Introduction} Shape coexistence is a unique phenomenon of the atomic core in which the nucleus displays intrinsically different shapes within a small energy range. Manifestation of this behaviour has been observed all across the nuclear chart, but the neutron-deficient Pb region (\textit{Z}$\leq$82, $N$<126) ...
1,108,101,565,706
arxiv
\section{Introduction} The modelling of financial markets and other social systems by means of individual-based simulations has attracted a significant amount of attention in recent years, both in the economics and socio-economics community, as well as among statistical physicists \cite{Axelrod,Gilbert&Troitzsch,LLS, C...
1,108,101,565,707
arxiv
\section{Introduction} \label{secct:intro} Let $X$ be a geometrically integral smooth projective Fano variety over a number field $F$ and let $\mathcal{L} = \mathcal{O}_{X}(L)$ be an adelically metrized big and nef line bundle on $X$. Manin's Conjecture, first formulated in \cite{FMT89} and \cite{BM}, predicts that t...
1,108,101,565,708
arxiv
\section{Introduction} The neutrino flavor eigenstates are linear combination of the mass eigenstates with the unitary matrix, Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix. In the PMNS matrix, the three mixing angles ($\theta_{12}$, $\theta_{23}$, $\theta_{13}$ ) can be measured experimentally. The Daya Bay collabora...
1,108,101,565,709
arxiv
\section{Introduction} Cortical morphology is a useful imaging-based biomarker for a range of applications, including aging and disease. Measures that describe the shape and folding of a brain, such as gyrification and cortical thickness, are being used both over the entire cortex and locally to identify differences i...
1,108,101,565,710
arxiv
\section*{Abstract} It is shown that for any $W$ weakly compact set of a real Banach space $X$, the set $L_{\infty }(\mu ,W)$ is $N$-simultaneously proximinal in $L_{\infty }(\mu ,X)$ for arbitrary monotonous norm $N$ in ${\R}^n$. \section{Introduction} Throughout this paper, $(X,\|\cdot\|)$ is...
1,108,101,565,711
arxiv
\section{Introduction} {The merging galaxy \object{NGC 6240} has a large far-infrared (FIR) luminosity of L$_{\rm FIR}$ = 3.5 $\times$ 10$^{11}$ \mbox{L$_{\sun}$}\,\citep{yun02} and belongs to the category of luminous infrared galaxies (LIRGs; L$_{\rm IR}$ = 10$^{11}$$-$10$^{12}$ \mbox{L$_{\sun}$}) \citep[see][for a ...
1,108,101,565,712
arxiv
\section{Introduction} \label{sec:intro} Mechanism design studies how to achieve a social goal in the presence of decentralized decision making, and one important subfield is Nash implementation.\footnote There are two paradigms in mechanism design: full implementation (e.g., Nash implementation) and partial i...
1,108,101,565,713
arxiv
\section{Introduction} {Recent years have witnessed a spurt of progress in modern machine learning technology, more effective and complex machine learning models can be trained through large-scale distributed training. However, in each iteration of the distributed optimization, information exchange among distributed ...
1,108,101,565,714
arxiv
\section{Introduction}\label{sec: intro} Optical fibre technology based on silica glass has revolutionised application fields as diverse as telecommunications and manufacturing (e.g. laser cutting and welding) by providing a robust and efficient integrated platform for the generation of visible and near-infrared light...