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541,165,882,856
arxiv
\section{Introduction} The largest filesystems in HPC now reach tens of petabytes\cite{Seq12} and exabyte-sized storage systems will emerge by the end of the decade\cite{Exa}. Operating such filesystems is not only a challenge for data management, it is also a matter of handling metadata. As systems become big...
541,165,882,857
arxiv
\section{Introduction} In addition to the fact that optical coefficients depend on the particle population, the required optical gain plays a key role in electroabsorptive quantum devices. The electrical polarization scheme, which is related to the electrical field of the incident optical wave, leads to the dielectric ...
541,165,882,858
arxiv
\section{Introduction} Isomorphism problems over various mathematical structures have been a source of intriguing problems in complexity theory (see~\cite{AT05}). The most important problem of this domain is the well-known graph isomorphism problem. Though the complexity characterization of the general version of this...
541,165,882,859
arxiv
\section{Introduction} \emph{Introduction.~}A long-standing open question in general relativity is how close the angular momentum $J_{_\text{BH}}$ of a black hole (BH) created in astrophysical scenarios can get to the theoretical maximum, which for an isolated BH is $M_{_\text{ADM}}^2$ (throughout this article we use...
541,165,882,860
arxiv
\section{Introduction} It is a deep rooted desire to explain complicated experimental observations with simple and transparent models, understandable in laymen's terms. This very acceptable ambition inspired a recent publication ~\cite{Bial}, where an attempt was made to explain the relations between the multiplicitie...
541,165,882,861
arxiv
\section{Notations} \section{Introduction} We discuss the asymptotic behaviour of non-constant least energy solutions of the following problem: \begin{align}\label{P1}\left\{\begin{array}{l l} { d(-\Delta)^{s}u+ u= \abs{u}^{p-1}u } \text{ in $\Omega,$ } \\ { \mathcal{N}_{s}u=0 } \text{ in $\mathcal{C} \overlin...
541,165,882,862
arxiv
\section{Introduction} \label{sec:intro} The story of the antimatter search in the Galaxy started probably in 1968 from the attempts initiated by B.P. Konstantinov to search for anti-comets in the Solar System~\cite{konstantinov-1,konstantinov-2}, which were strongly criticised by Ya.B. Zeldovich despite very good pe...
541,165,882,863
arxiv
\section{Introduction} \label{intro} Sleep studies are important to evaluate sleep and sleep-related pathologies. The gold standard test for diagnosing sleep disorders is a polysomnography study (PSG), during which several physiological signals are recorded simultaneously in a specially conditioned sleep medical cente...
541,165,882,864
arxiv
\section{Introduction} \label{S:Intro} Quad meshing is a discipline that has been developed for different purposes by two distinct communities. Computer graphics and engineering analysis communities have indeed produced extensive research in the subject for decades, leading to both unstructured and structured approach...
541,165,882,865
arxiv
\section{Introduction}\label{sec:introduction} \IEEEPARstart{M}{icro}-expressions (MEs) exhibit the insight into true feelings of a person even if he/she is trying to hide the genuine emotions within the manifested emotion (macro expression). Ekman \cite{ekman1969nonverbal} introduced various deceptive expressions (k...
541,165,882,866
arxiv
\section{Conclusion} \label{sec:conclusion} In this paper, we have introduced a new task CTTS setting using context to control expressive speech synthesis, which is more flexible and has better generalization capability than previous settings. The context is represented as text here. To achieve this task, we constru...
541,165,882,867
arxiv
\section{Introduction} {\it Introduction.---} Helicity is a fundamental property of relativistic spinning particles, such as electrons and photons, which can be regarded as the projection of the spin angular momentum onto the linear momentum direction \cite{messiah}. In the case of photons, i.e., electromagnetic fiel...
541,165,882,868
arxiv
\section{Introduction and Motivation} The problem of attribute detection from face images has received much attention from the computer vision community in recent years \cite{JointFaceAndAttribDetect_He_2017} \cite{MOON_Rudd2016} \cite{EmilyNet_AAI_Multitask} \cite{HuHan_DeepMultiTaskHeteroAttrib}. Successful detection...
541,165,882,869
arxiv
\section{Introduction} \label{sec:Intro} This paper is a contribution to the PRB Collection in honor of Emmanuel Rashba. It expands on Rashba's results on spin dynamics, and in particular the possibility of the electric dipole spin resonance where a resonant transition between spin states is excited by the electric fi...
541,165,882,870
arxiv
\section{Introduction} The distribution of the number of goals scored in association football (soccer) matches has been investigated by various authors over the last half century \citep{moroney56,maher82,dixon98,greenhough01,bittner07}. The emphasis has usually been on finding models that describe the distributions ob...
541,165,882,871
arxiv
\subsection{Hamiltonian} The schematics of the double slit interferometer depicted in [Fig. \ref{fig:sch1}(a)]. The electrons are fed from the left by the silicene ribbon of a zigzag edge of 6.5 nm width. The zigzag ribbon supports the spin-polarized edge transport at the Fermi energy $E_F\in(-3, 3)$ meV with resp...
541,165,882,872
arxiv
\section{Introduction} \label{sec:intro} \emph{Personalized PageRank} (\emph{PPR}) is a fundamental operation first proposed by Google \cite{page1999pagerank}, a major search engine. Specifically, given a graph $G$ and a pair of nodes $s, t$ in $G$, the PPR value $\pi(s, t)$ is defined as the probability that a rand...
541,165,882,873
arxiv
\section{Attacks and defenses}\label{sec:attacks} Attacks described in this section, and generally attacks against authentication systems, are characterized as \textit{impersonation attacks}. The goal of the adversary is to impersonate another entity, usually performed via a MITM attack. In this section, we present co...
541,165,882,874
arxiv
\section{Accumulation terms} \label{app:sec:accumulation} \begin{lemma} For an averaging term $\bar s(t)$ satisfying \[ \dot{\bar s}(t) = \beta(t) (s(t) - \bar s(t)), \qquad \bar s(0) = s(0) = 0 \] where $\beta(t) = \frac{c^p}{(c+t)^p}$, then \[ \bar s(t) = \begin{cases} \displaystyle e^{-\alpha(t)}\int_0^t \frac{c^p...
541,165,882,875
arxiv
\section*{Theory} Cavity properties \textendash$\,\,$in particular of high quality cavities, as our WGM resonator \textendash$\,\,$significantly influence the quantum and classical properties of the optical parametric oscillations (OPO) \cite{Aiello}. In the following, we discuss theoretical implications of a triply...
541,165,882,876
arxiv
\section{Introduction \& Related Work} The recent emergence of successful large-scale language representation models (c.f.,~\citet{Devlin2018BERTPO,radford2019language,yang2019xlnet,liu2019roberta,shoeybi2019megatron,keskar2019ctrl}) has led to an explosion of \emph{self-supervised} language representation models trai...
541,165,882,877
arxiv
\section{Introduction} Several studies have attempted to address the problem of the origin of the Galactic bulge, trying to reconstruct its star formation history through the analysis of both stellar ages and chemical abundances \citep[][]{mcwilliam94,zoccali03,fulbright07,rich_origlia07,lecureur07,zoccali08,clarkson0...
541,165,882,878
arxiv
\section{Introduction} The recent MiniBooNE data on muon neutrino charged-current quasielastic (CCQE) scattering~\cite{AguilarArevalo:2010zc} have raised an important debate on the role played by both nuclear and nucleonic ingredients entering in the description of the reaction. Unexpectedly, the cross section turns ...
541,165,882,879
arxiv
\section{Introduction} \label{introsec} One of the fascinating phenomena observed for bright solitons in nonautonomous nonlinear systems is quantum reflection. In such a phenomenon, the soliton that approaches a potential can be reflected even in the absence of a classical turning point \cite{well1,well2}. It portrays ...
541,165,882,880
arxiv
\section{Introduction} The herald of two dimensional (2D) and three dimensional (3D) topological insulators (TI)\cite{PhysRevLett.95.226801,Bernevig1757,PhysRevLett.98.106803,RevModPhys.82.3045, moore2010birth} have paved new areas of research in topological science. These insulating phases of matter have a gapless edg...
541,165,882,881
arxiv
\section{Introduction} The two dimensional monolayer honeycomb structures have exceptional properties and thus attracted a growing interest with theirs promising applications in nanotechnology. Recent studies in nanoscale physics have aimed the discovering new monolayer materials and revealing their properties und...
541,165,882,882
arxiv
\section{Introduction} Nearly 400 extrasolar planets have now been discovered using the radial velocity (RV) method. RV surveys currently have good statistical completeness only for planets with periods of less than ten years \citep{cumming,butlercat}, due to the limited temporal baseline of the observations, and ...
541,165,882,883
arxiv
\section{Introduction} Several methods of regular approximation of context-free languages have been proposed in the literature. For some, the regular language is a superset of the context-free language, and for others it is a subset. We have implemented a large number of methods, and where needed we refined them wit...
541,165,882,884
arxiv
\section{Introduction and Preliminaries} Let $K$ be a nonempty subset of a Banach space $X$. The map $F : K \rightarrow K$ is non expansive if $\parallel Fw - Fz \parallel \leq \parallel w - z \parallel$ for all $w,z \in K$. In 1967, Browder \cite{e1} constructed the iterative process to fixed points of non expansive...
541,165,882,885
arxiv
\section{Introduction} In the Color Glass Condensate (CGC) framework deep inelastic scattering (DIS) proceeds as follows at leading order accuracy (LO). First, the incoming lepton can be factorized out and one is left with a virtual photon scattering from the color field of the proton. The virtual photon fluctuates in...
541,165,882,886
arxiv
\section{Introduction} Nowadays the Lattice Boltzmann (LB) approach \cite{2015Succi_epl, 2016Succi_aip, 2018succi} is supposed to be an useful tool in modeling of non-equilibrium rarefied flows \cite{2005toschi, 2006zhang, 2007ansumali,2007niu,2008kim,2008tang, 2008Yudistiawan, 2009verhaege, 2010Yudistiawan,2011men...
541,165,882,887
arxiv
\section{Introduction} As social media become a bigger part of our daily lives, their influence over the way people think and make decisions increases. Inevitably, this has offered opportunities for fake content to arise and to spread faster than ever, e.g., recent research has shown that fake news spreads six time fa...
541,165,882,888
arxiv
\section{Introduction} Solar Orbiter is a solar and heliospheric mission led by the European Space Agency (ESA) in partnership with NASA. The scientific payload of Solar Orbiter includes four in situ and six remote sensing instruments, including the Spectrometer/Telescope for Imaging X-rays (STIX). STIX is a hard X-ray...
541,165,882,889
arxiv
\section{Introduction} The development of effective autonomous defenses requires sophisticated attacks to train against. Penetration Testing (PT) has been used extensively to evaluate the security of ICT systems. This is a time-consuming process and requires in-depth knowledge for the establishment of a strategy that r...
541,165,882,890
arxiv
\section{Introduction} During the last decade Bi-doped bulk glasses and optical fibers have attracted a lot of interest due to their characteristic broadband IR luminescence in the 1--1.7~\textmu{}m{} range which has a potential for new broadband fiber amplifiers and lasers \cite{Dianov13}. Despite a successful demonst...
541,165,882,891
arxiv
\section{Introduction}\label{sec1} A put option on a stock can be interpreted as a contract between a holder and a writer which allows the former to claim from the latter at an exercise time $t$ the amount $(K-S_t)^+$ where $K$ is a fixed amount called the option's strike, $S_t$ is the stock price at time $t$ an...
541,165,882,892
arxiv
\section{Introduction} \IEEEPARstart{T}{he} hypervolume indicator is a popular performance indicator in the field of evolutionary multi-objective optimization (EMO). Informally, the hypervolume of a solution set is the volume of the objective space dominated by the solution set and dominating a reference point. A well ...
541,165,882,893
arxiv
\section{Introduction} In recent years the importance of taking advantage of the structure of convex optimization problems has become a topic of intense research in the machine learning community. This is particularly true of techniques for non-smooth optimization, where taking advantage of the structure of non-smooth...
541,165,882,894
arxiv
\section{Introduction} \label{sec:intro} Traditionally, both non-relativistic quantum mechanics (QM) and relativistic Quantum field theory (QFT) have been formulated in terms of states in Hilbert space, upon which operators representing measurements of physical quantities are supposed to act. However the last few d...
541,165,882,895
arxiv
\section{Introduction} In this paper, we address the problem of stable coordinated motion in multi-robot systems with limited fields of view (FOVs). These problems arise naturally for multi-robot systems that interact based on sensing, such as our case study of multiple unmanned aerial vehicles (UAVs) each equipped wi...
541,165,882,896
arxiv
\section{Introduction} After the recent discovery of the top quark \cite{CDFD0}, the detailed study of the properties of this particle will be a major subject of experiments at the (upgraded) Tevatron and at future colliders. An intriguing feature of the top quark is that due to its heaviness it decays on average be...
541,165,882,897
arxiv
\section{Introduction} Binomial $D$-modules have been introduced by A. Dickenstein, L.F. Matusevich and E. Miller in \cite{DMM}. These objects generalize both GKZ hypergeometric $D$-modules \cite{GGZ87, GZK89} and (binomial) Horn systems, as treated in \cite{DMM} and \cite{Sadikov2002}. Here $D$ stands for the ...
541,165,882,898
arxiv
\section{Introduction} The origins of the conceptual development of quantum biology can be traced back to the early days of quantum mechanics \cite{schrodinger1992life}. However, it is only in the recent decades, studies in chemistry, biology, and physics have theoretically proposed and experimentally indicated that sp...
541,165,882,899
arxiv
\section{Introduction} \label{se:introduction} It is well known that the geometrical optics approximation of the wave equation is related to the asymptotic form of the integral representation of the field (if such exists), which is an exact solution of the wave problem. Suppose, for instance, that the field in a unifor...
541,165,882,900
arxiv
\section{What is interesting in electric conductivity in polyacetylene?} In this talk we want to describe our recent works on thermodynamics of the Gross-Neveu model with chemical potential.\cite{CM1,CM2} The physical motivation for these works comes from condensed matter physics; electric conductivity properties of...
541,165,882,901
arxiv
\section{Introduction} We consider large-scale regularized nonsmooth convex empirical risk minimization (ERM) of linear predictors in machine learning. Let ${\bm{b}}_i\in{\mathbb{R}}^d$, $i=1,2,\dotsc,n,$ be sample vectors with $n$ typically large; $g_i:{\mathbb{R}}\rightarrow {\mathbb{R}}$, $i=1,2,\dotsc,n,$ be possi...
541,165,882,902
arxiv
\section{\MakeUppercase{Introduction}} \label{intro} The $^{12}$C+$^{12}$C\ fusion plays an important role in the whole chain of nucleosynthesis processes during stellar evolution, as the main nuclear reaction governing the carbon burning process in the young massive stars that generates the heavier elements or the ...
541,165,882,903
arxiv
\section{Supplemental Material for ``Geometrical Phase Shift in Friedel Oscillations''} \subsection{Friedel oscillations for $N=2$} This SM section details the derivations of the Friedel oscillations induced in the local density of states, as introduced in Eq.\,(1) and Eq.\,(4) in the main text. \subsubsection{Retard...
541,165,882,904
arxiv
\section{Introduction} Since the advent of Global Navigation Satellite Systems (GNSS) in the 1960s, GNSS-based positioning has become ubiquitous in the areas of navigation, guidance and control. However, in a growing number of situations GNSS is either unavailable, e.g. in underwater environments~\citep{wang2017locatio...
541,165,882,905
arxiv
\section{Introduction} The finite-state dimension of a sequence $S$ over a finite alphabet $\Sigma$ is an asymptotic measure of the density of information in $S$ as perceived by finite-state automata. This quantity, denoted $\dimfs(S)$, is a finite-state effectivization of classical Hausdorff dimension \cite{Haus19,F...
541,165,882,906
arxiv
\section{Introduction}\label{sec:intro} \subsection{} In \cite{WZ}, the authors initiated the modular representation theory of Lie superalgebras over an algebraically closed field $K$ of characteristic $p>2$, by formulating a general superalgebra analogue of the Kac-Weisfeiler (KW) conjecture and establishing it fo...
541,165,882,907
arxiv
\section{Introduction} \label{intro} Fast radio bursts (FRBs) are a new class of astrophysical phenomenon characterized by bright broadband radio emission lasting only a few milliseconds. Since the first FRB discovered in 2007 in archival data from the Parkes Radio Telescope \citep{Lorimer777}, more than 20 FRBs have ...
541,165,882,908
arxiv
\section{Introduction} \label{sec1} Since the introduction by Bargmann in \cite{BA} and Segal in \cite{SEG} in the early 1960's of a certain Hilbert space of holomorphic functions and an associated integral kernel transform, there has been much research on various deformations and generalizations of what could be call...
541,165,882,909
arxiv
\section{Introduction} This paper is a continuation of the quantum de Finetti-based approach to the mean-field limit of anyonic grounds states of \cite{LunRou} with the motivation to extend its results in two different ways. The first extension concerns the physical situation. Indeed we take into account an external ...
541,165,882,910
arxiv
\section{Absence of negative sign problem } Here we use the Majorana representation to demonstrate, using the results of Ref.~\cite{Li16}, the absence of negative sign problem for all values of $N_{\sigma}$. Both models have $SU(N_{\sigma})$ symmetry. Since the Ising spins couple symmetrically to the fermion spins, $...
541,165,882,911
arxiv
\section{Introduction} Let $\mathbf{S}$ be the set of all finite or infinite increasing sequences of positive integers. For a sequence $S=\{s(n)\}, n\geq1,$ from $\mathbf{S},$ let us call a positive number $N$ an exponentially $S$-number $(N\in E(S)),$ if all exponents in its prime power factorization are in $S.$ ...
541,165,882,912
arxiv
\section{Introduction and motivation} Quantum solids, where the zero point motion of the atoms is greater than roughly 10\% of their separation, form a fascinating class of materials. A principal question with these materials is to what extent they are quantum coherent, and under what conditions they can be supersolid...
541,165,882,913
arxiv
\section{Introduction} In this short note, we introduce an elliptic regularization of the equations for isometric immersion of a surface in $\mathbb R^{3}$ (or more generally any ambient 3-manifold). Thus we exhibit a smooth curve ${\mathcal D}_{\varepsilon}$, $\varepsilon \geq 0$, of differential operators which...
541,165,882,914
arxiv
\section{Introduction} One of the main results of this note is the following \begin{proposition}\label{omega(1)} Suppose that $X\subset\PP^n$ is a smooth $4$-dimensional projective variety over~\C such that $H^0(X,\omega_X(1))\ne 0$, where $\omega_X$ is the canonical sheaf. Then a general singular hyperplane s...
541,165,882,915
arxiv
\section{Introduction} Recently, in a series of publications\cite{neuberger,hasenfratz,hasenfratz2,hasenfratz3, luscher,chandra}, it has become clear that, if one would modify the chiral transformation laws away from their canonical form in the continuum, chiral symmetries can be preserved on the lattice without the ...
541,165,882,916
arxiv
\section{Introduction} \subsection{Background} Let $A(t)$, $t\in{\mathbb R}$, be a family of self-adjoint operators in a separable Hilbert space $\H$ such that the limits \begin{equation} A^\pm=\lim_{t\to\pm\infty} A(t) \label{a1} \end{equation} exist in an appropriate sense. In the Hilbert space $L^2({\mathbb R};\...
541,165,882,917
arxiv
\section{Introduction} Galaxies are fascinating objects in their own right as basic building blocks of the universe, but they also provide crucial laboratories for cosmology and fundamental physics. A main goal of cosmology is to understand how galaxies form and evolve \citep{Mo10} and observed stellar kinematics in g...
541,165,882,918
arxiv
\section*{Appendix: Hack3D Competitions} Hack3D is a series of competitions organized by Center for Cybersecurity at New York University~\cite{hack3d}. It focuses on the security of additive manufacturing. We introduce details on the challenges and representative solutions submitted by the challenge participants as fo...
541,165,882,919
arxiv
\section{Introduction}\label{intropre} In their influential 1977 paper~\cite{FeldmanMooreErEqReII}, Feldman and Moore showed that the collection of pairs $({\mathcal{M}},{\mathcal{D}})$ consisting of a Cartan MASA ${\mathcal{D}}$ in the separably acting von Neumann algebra ${\mathcal{M}}$ is, up to suitable notions o...
541,165,882,920
arxiv
\section{Introduction} \label{sec:intro} The observation of neutrinoless double beta (\bb{0}) decay would imply physics beyond the Standard Model of particle physics because the process manifests lepton number violation. Assuming light neutrino exchange as the dominant process, the experimentally observable half-lif...
541,165,882,921
arxiv
\section{Introduction} In the past decade, there has been a paradigm shift in high-performance programming as Moore's law began to diminish for single core processors. The quest for high performance scalable solutions has compelled developers to make better use of the new class of processors comprising multiple cores....
541,165,882,922
arxiv
\section*{Introduction} The decomposition of univariate polynomials has been widely studied since 1922, see \cite{Ritt}, and efficient algorithms are known, see \cite{Alagar_Thanh, Barton_Zippel, Kozen_Landau, Gathen_tame, Gathen_wild,Giesbrecht,Kluners}. There also exist results and algorithms in the multivariate c...
541,165,882,923
arxiv
\section{Introduction} Within narrow vacuum gap compared with thermal wavelength $\sim \lambda_{th}=\frac{\hbar\,c}{k_{B}T}$ between two bodies, surface modes can drastically augment electromagnetic thermal transfer by orders of magnitude greater than the normal Planckian radiative process\textemdash the so-called ne...
541,165,882,924
arxiv
\section{Introduction} \label{sec:Introduction} Lattice simulations in quantum chromodynamics (QCD) allow for ab initio nonper\-tur\-ba\-tive determinations of operator matrix elements and physical quantities such as quark masses and the strong coupling constant. One starts with a direct computation of the bare quanti...
541,165,882,925
arxiv
\section{Introduction} Since its introduction by Dijkgraaf, Pasquier and Roche \cite{DPR}, the \emph{twisted quantum double} has been a source of inspiration in the related areas of \emph{quasiHopf algebras}, \emph{modular tensor categories} (MTC), and \emph{orbifold models} of holomorphic vertex operator algebras (VOA...
541,165,882,926
arxiv
\section{Introduction} \label{ai1} Let $\Lambda$ be a finite dimensional $\mathbb{C}$-algebra such that it is a representative-finite algebra, i.e., there are finitely many finite dimensional indecomposable $\Lambda$-modules up to isomorphism. Let $\mathcal{I}(\Lambda)=\{X_1,\ldots,X_n\}$ be a set of representatives....
541,165,882,927
arxiv
\section{Introduction} \parskip 0pt Cancer has a significant impact on public health worldwide and is the second leading cause of death in the US \cite{siegel2015cancer}. In 2016, the American Cancer Society \cite{amcstarver2016cancer} predicted that 1,685,210 new cancer cases will be diagnosed, resulting in 595...
541,165,882,928
arxiv
\section{b-sc transition calculus} \label{S:transition} We include here a self-contained summary of the b-sc transition calculus of pseudodifferential operators. This idea is due to Melrose and Sa Barretto, and was used by Guillarmou and Hassell in \cite{guillarmou2008resolvent}. Let $X$ be a compact manifold with bo...
541,165,882,929
arxiv
\section{Introduction} The problem of defining a cohomology theory with good properties for an algebraic variety over a field~\(\resf\) of non-zero characteristic has a long history. In the breakthrough paper~\cite{mw} by Monsky and Washnitzer, such a theory for smooth affine varieties was constructed as follows....
541,165,882,930
arxiv
\section{Introduction} Fluids of elongated particles that interact via a harshly repulsive excluded-volume interaction potential, i.e., hard-rod fluids, have proven immensely useful as a model system for investigating the formation, structure and properties of liquid crystals\cite{deGennes.Prost:1993}. Indeed, hard-r...
541,165,882,931
arxiv
\section{Introduction}\label{s:intro} The diffeomorphism classification of symplectic fillings has been previously considered by several authors. For the standard definitions on symplectic structures, contact structures and their symplectic fillings we refer the reader to~\cites{Ge08, McDS98}. The first classificatio...
541,165,882,932
arxiv
\section{Results on in-House Intent Classification Dataset} \label{app-inhouse} We perform an extensive evaluation including other languages for intent classification. We use an in-house dataset covering 7 languages including English with statistics of train/dev/test splits shown in Table ~\ref{inhouse-data}. \ref{in-h...
541,165,882,933
arxiv
\section{Introduction} In the past two decades, we have witnessed a tremendous improvement in the energy and momentum resolution of angle-resolved photoemission spectroscopy (ARPES), which is one of the most powerful experimental tools for investigating strongly correlated materials. In particular, recent ARPES spectr...
541,165,882,934
arxiv
\section{Introduction} \begingroup \allowdisplaybreaks \vspace{-0.1cm} \IEEEPARstart{I}{n} the past several decades, wireless communication systems have been developed towards using higher frequency and broader bandwidth, installing more transceiver antennas, and adopting more efficient resource allocation schemes~\ci...
541,165,882,935
arxiv
\section{Introduction} \label{sec:intro} The role of planetary rotation on habitability has been considered for well over a century. By the late 1800's astronomers were keenly interested in the possibility that Venus could support life, but (erroneous) observations of synchronous rotation led to considerable discussio...
541,165,882,936
arxiv
\section{Introduction}\label{sec:intro} Unusual channel conditions are seen in the recent extra-large scale massive multiple-input multiple-output (XL-MIMO) technology \cite{Tufvesson20a}. By distributing the antenna elements in a wide space, like in the facades of buildings, stadiums, or shopping malls, the distance b...
541,165,882,937
arxiv
\section{Introduction} Estimating a high-dimensional covariance matrix has been an active research area in the recent literature. Many methods are proposed for estimating the covariance matrix and the precision (inverse covariance) matrix, e.g. El Karoui (2008), Bickel and Levina (2008), Rothman et al. (2009), La...
541,165,882,938
arxiv
\section{Introduction} Since the breakthrough in 2012 of AlexNet \cite{alexnet2012} during the ILSVRC-2012 challenge, Convolutional Neural Networks (CNN) gained a lot of attention in the computer vision community. In the following years, they proved to be the SOTA for various compute...
541,165,882,939
arxiv
\section{Introduction} Focused electron beam induced deposition (FEBID) is a direct-write approach for the fabrication of 2D- and 3D-nanostructures \cite{Randolph2006_febid_review, Utke2008_febid_review, Huth2012_febid_review}. Over the last decade FEBID or, more generally, focused electron beam induced processing (FEB...
541,165,882,940
arxiv
\section{Introduction} W.L. Edge began the study of \emph{Humbert's curves} in \cite{Edg51}, such curves are defined as canonical curves in $\mathbb{P}^4$ that are complete intersection of three diagonal quadrics. A natural generalization of Humbert's curve was later introduced by Edge in \cite{Edg77}: irreducible, non...
541,165,882,941
arxiv
\section{Introduction} This paper studies a robust version of the classic surplus extraction problem. In the standard setting, when agents' private information is correlated with their beliefs, a designer can typically extract all or virtually all information rents in a broad range of environments, as shown in the p...
541,165,882,942
arxiv
\section{Introduction} \subsection{Optimal switching problems} Optimal switching problems involve an agent controlling a system by successively switching an operational mode between a discrete set of choices. Time may be either continuous or discrete, and in all cases the latter is useful for numerical work (see for ...
541,165,882,943
arxiv
\section{Introduction} Data selection methods, such as active learning and core-set selection, improve the data efficiency of deep learning on large datasets by identifying the most informative training examples. In particular, active learning assists the learning procedure by prioritizing the selection of valuable unl...
541,165,882,944
arxiv
\section{Introduction} Given a prime power $q$ and a positive integer $g$ it has become an interesting challenge to determine the largest number $N_q(g)$ of rational points possible for a smooth, projective, absolutely irreducible genus $g$ curve over a finite field $\mathbb{F}_q$. Tables are constantly updated at \ci...
541,165,882,945
arxiv
\section{Introduction} Silicon (Si) is an indirect band gap semiconductor with electron energy minima (valleys) displaced from zero momentum in the Brillouin zone along the $\langle 100 \rangle$\ vectors. Figure~\ref{fig:brillouin} shows surfaces of constant energy about these minima in the Brillouin zone, viewed of...
541,165,882,946
arxiv
\section*{Introduction} It is evident that many materials which are being used in emerging technologies, such as spintronics, quantum computing and high temperature superconductivity for example, are characterised by interacting $d$ and $f$-band valence electrons situated at the boundary between being localised and ...
541,165,882,947
arxiv
\section*{Acknowledgements}}{} \setpapersize{A4} \setmarginsrb{1.45cm}{1.45cm}{1.45cm}{1.45cm}{0mm}{0mm}{0mm}{11mm} \setcounter{tocdepth}{2} \usepackage{tikz-qtree} \usepackage{color,pgf,float} \bibliographystyle{copernicus} \usepackage{indentfirst} \hyphenation{MPDATA} \input{formulae_preamble} \use...
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arxiv
\section{#1}} \newcommand{\setcounter{equation}{0} \section*{Appendix}}{\addtocounter{section}{1} \setcounter{equation}{0} \section*{Appendix \Alph{section}}} \renewcommand{\theequation}{\arabic{equation}} \textwidth 175mm \textheight 214mm \newcommand{\operatorname{Tr}}{\operatorname{Tr}} \new...
541,165,882,949
arxiv
\section*{Acknowledgements} \begin{acknowledgements} We thank Vincenzo Grillo for many helpful conversations, ideas, support for multislice simulations and a careful reading of the manuscript. We appreciate careful scrutiny of the manuscript from Fehmi Yasin and Jordan Pierce. Lastly, T.R.H. thanks Jordan Chess for h...
541,165,882,950
arxiv
\section*{Methods} \subsection{Synthesis of films using off-axis RF magnetron sputtering.} Bilayers films of BTO/PTO were grown on 20nm SrRuO$_{3}$/SrTiO$_3$ substrates via off-axis RF magnetron sputtering. The SrRuO$_{3}$ electrodes were grown at a pressure of 0.1 Torr, Ar:O of 16:3 and a growth temperature of 610$...
541,165,882,951
arxiv
\section{Introduction} \subsection{Mathematical setup} Focusing on the mathematics, but not the physics, we first present the mathematical setup of the inverse problem of identifying magnetic anomalies with varying parameters using geomagnetic monitoring. We define the Earth as a core-shell structure with $\Sigma_c$...
541,165,882,952
arxiv
\section{Introduction} \label{section:introduction} \begin{figure}[ht] \begin{tikzpicture} \node[inner sep=0pt] (agent_0) at (0,0) {\includegraphics[width=0.48\columnwidth]{S_J1ZO3bQDwL6wHIh1_agent_0.png}}; \node[inner sep=0pt] (agent_1) at (4.2,0) {\includegraphics[width=0.48\columnwidth]{S_J1ZO3bQDwL6wHIh1_agent...
541,165,882,953
arxiv
\section{Introduction} \label{sec:intro} In recent years, with the observation of observables related to transversity, there has been renewed theoretical attention\cite{Col08,Bacch08,CRS07} to the gauge invariance of QCD operators in the definition of unintegrated, i.e., transverse-momentum dependent (TMD), parton dist...
541,165,882,954
arxiv
\section{Introduction} \label{sec:intro} \par The increasing complexity of mobile communication networks, due to pedestrian mobility, street systems, shadowing and interference, requires new modeling approaches and paradigms to predict and analyze them. Recently, mobile communication networks modeling and analysis has...
541,165,882,955
arxiv
\section{Introduction}\label{sec:intro} Precise theoretical predictions for scattering experiments at particle colliders crucially rely on the availability of higher-order scattering amplitudes. Over the next few years, the large increase in the amount of data collected by the experiments at the Large Hadron Collider...