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2,877,628,090,754
arxiv
\section{Introduction} \label{sec:intro} Full-duplex (FD) radio has recently developed from long-studied theoretical concept to potential candidate solution to increase the performance of future wireless networks. By transmitting and receiving simultaneously on the same frequency band, FD radios can theoretically doubl...
2,877,628,090,755
arxiv
\section{Introduction} The structure, chemistry, and kinematics of the stellar halo of the Galaxy, with its predominantly old and metal-poor populations, collectively preserve a detailed record of our Galaxy's formation in the early universe \citep[e.g.,][]{eggen:62,searle:78}. Thanks to large-area surveys such as the...
2,877,628,090,756
arxiv
\section{Introduction} The magnetorotational instability (MRI), first derived by \citet{VelikhovMRI} and \citet{ChandrasekharMRI}, has been studied extensively as a possible mechanism of enhanced angular momentum transport in accretion disks \citep{BalbusHawley91,BalbusReview}. In an idealized form with no dissipative ...
2,877,628,090,757
arxiv
\section{Introduction} Correctly capturing key patterns and relationships in economic history often requires the measurement of entire distributions of variables. For example, consider human demographics. Stunting, or very low heights owing to impaired growth in childhood, is associated with lower cognitive ability i...
2,877,628,090,758
arxiv
\section{Introduction} \label{sec:introduction} In this paper, we study the online algorithms. Online algorithms get their input one-by-one during their computation unlike their offline counterparts which are given the whole input before their computation. \textit{Competitive analysis} is concerned with how an online a...
2,877,628,090,759
arxiv
\section{Introduction} \label{intro} Among the best understood class of features in Saturn's rings are density waves. These structures are usually tightly wound multi-armed spiral patterns that are generated at mean-motion resonances with either Saturn's moons or structures in the planet's interior. The theory behind ...
2,877,628,090,760
arxiv
\section{Introduction} Blazars are active galactic nuclei (AGNs) with a radio-loud behaviour and a relativistic jet pointing towards the observer \citep{Abdo01, fra}. These sources are divided into two main classes: BL Lacertae objects (BL Lacs) and Flat Spectrum Radio Quasars (FSRQs), which show very different optica...
2,877,628,090,761
arxiv
\section{Introduction} We have acquired large sets of both written and spoken data during the implementation of campaigns aimed at assessing the proficiency, at school, of Italian pupils learning both German and English. Part of the acquired data has been included in a corpus, named "Trentino Language Testing" in scho...
2,877,628,090,762
arxiv
\section{Introduction} Through Hamilton's program \cite{Ham93b}, the study of ancient solutions emerged into the field. Perelman's seminal work \cite{Per02} manifests not only that the understanding of ancient solutions is crucial to the analysis of the singularity formation, but also that ancient solutions are intere...
2,877,628,090,763
arxiv
\section{Introduction} The excellent spatial resolution of $Chandra$ X-ray Observatory has opened a new era to study the large scale jets in powerful extragalactic radio sources. At the time of this writing, more than 40 radio-loud AGNs are known to possess X-ray counterparts of radio jets on kpc to Mpc scales (Harris...
2,877,628,090,764
arxiv
\section{Introduction} In this paper we consider local linear smoothing in an additive model \begin{align}\label{model:add} E[Y_i | X_i ] = m_0+m_1(X_{i1})+\cdots +m_d(X_{id}), \end{align} where $(Y_i,X_i)$ $(i=1,\dots,n)$ are $iid$ observations with values in $\mathbb R \times \mathcal X$ for a bounded connecte...
2,877,628,090,765
arxiv
\section*{Preliminary}Fluid dynamics equations written in terms of vorticity favourably differ from ones covering velocity evolution. So, for both 2D and 3D Navier-Stokes systems the vorticity dynamics involves a fewer number of equations rather than in the velocity-pressure formulation. For barotropic fluid the curl ...
2,877,628,090,766
arxiv
\section{Introduction} \label{intro} This article is concerned with the following discrete-time non-auto\-no\-mous dynamical system on the plane $\mathbb{R}^2$: \begin{align} \label{eq:napdintrotwo} x_{n+1}&=\dfrac{n}{Nrx_n}-\dfrac{1}{r}-x_n-y_n \\ y_{n+1}&=x_n \nonumber, \end{align} where $r$ and $N$ are paramete...
2,877,628,090,767
arxiv
\section{Conclusion} In this work, we propose \textit{Se}gment representation learning for long documents \textit{D}ense \textit{R}etrieval (SeDR) to tackle the long document issues in DR models. Concretely, we propose Segment-Interaction Transformer that encodes document into document-aware and segment-sensitive repre...
2,877,628,090,768
arxiv
\section{Introduction} The numerical study of the dynamics of core-collapse supernovae allowed in the recent decades to identify specific hydrodynamics mechanisms which control the evolution of the shock wave. Among these dynamics, one that is expected to produce signatures both in the neutrino luminosity and the grav...
2,877,628,090,769
arxiv
\section{Introduction}\label{Sec 1} \subsection{Mathematical setup and statement of the main results} In this paper, we are concerned with inverse problems for semilinear parabolic equations. Depending on the form of the nonlinear term, there are two setups for our study, which shall be discussed separately in what f...
2,877,628,090,770
arxiv
\section*{References}
2,877,628,090,771
arxiv
\section{Introduction} \label{sec:int} Experimental neutrino physics has regained great interest in the latest years, with many new experiments presently taking data or in preparation for the near future. This is justified because although the Standard Model has been vigorously tested experimentally and seems to b...
2,877,628,090,772
arxiv
\section{Introduction} Organic charge-transfer salts show a wide variety of quantum phases and represent prominent examples to study correlation effects in low-dimensional systems. The most celebrated case is given by the TTF-TCNQ salt that has been primarily regarded as a prototype for testing theories of one-dimens...
2,877,628,090,773
arxiv
\section{Introduction} An interesting topic in recent years both in the general relativity community and in the String theory community is that the BH area (or entropy) product formula of all horizons independent of the ADM (Arnowitt-Deser-Misner) mass of the background space-time \cite{ah09,cgp11,castro12,chen1...
2,877,628,090,774
arxiv
\section{Introduction and data} The Space Telescope Imaging Spectrograph (STIS) instrument on the Hubble Space Telescope (HST) offers new opportunities for QSO host galaxy studies. The instrument may be used to obtain direct images with the CCD which are deeper and less noisy than WFCP2, and UV images with the MA...
2,877,628,090,775
arxiv
\section{Introduction}\label{SIntro} In \cite{KL1,KL2}, Khovanov and Lauda have introduced a new family of graded algebras whose representation theory is related to categorification of quantum groups. Similar algebras have been defined by Rouquier \cite{Ro}. In this note we give an explicit construction of the irr...
2,877,628,090,776
arxiv
\section{INTRODUCTION} Radiation resistance of graphite has been one of the major concerns of the nuclear industry.\cite{Simmons65,Telling03} Nowadays, radiation treatment by high-energy electrons or ions is also viewed as a versatile tool for the design of new materials. The formation of irradiation-induced defect...
2,877,628,090,777
arxiv
\section{Introduction} Solving a generic family of quantum many-body problems and ultimately predicting their phase diagram is a challenging task~\cite{Vojta2003,Sachdev2011}. The exponential growth of the Hilbert space with the system size, especially for high dimensional systems, makes most realistic models intracta...
2,877,628,090,778
arxiv
\section{Introduction} \label{sec:intro} Machine translation is shifting to an end-to-end approach based on deep neural networks. Recent studies in neural machine translation (NMT) such as \cite{Vaswani:2017, Bahdanau:2014, Wu:2016,Gehring:2017} have produced impressive advancements over phrase-based systems while eli...
2,877,628,090,779
arxiv
\section{Introduction} Many years ago, superconductivity was discovered in heavy-fermion compounds \cite{steglich, ott, stewart}. It was suggested \cite{cmv1} that the superconductivity was due to collective electronic fluctuations and not due to electron-phonon interactions. Transport properties in the superconducti...
2,877,628,090,780
arxiv
\section{Introduction} Determining the rank of an elliptic curve is a difficult problem, and there is currently no known unconditional algorithm for determining the rank of a given curve. The basic method for rigorously determining the rank of a curve is to find an upper bound for the rank by computing the size o...
2,877,628,090,781
arxiv
\section{Introduction} Since its introduction by Gale and Shapely~\cite{GaleS62}, the Hospital Residents problem, which is also known as the College Admission problem, has attracted a lot of attention. Besides a rich body of theoretical work~\cite{DBLP:books/ws/Manlove13}, also many practical applications hav...
2,877,628,090,782
arxiv
\section{Introduction} The study of symplectic embeddings is at the core of symplectic geometry. One of the most important tools in this study are symplectic capacities. A {\bf symplectic capacity} is a function which assigns to each symplectic manifold $(X,\omega)$ of a fixed dimension $2n$, possibly in some restricte...
2,877,628,090,783
arxiv
\section{Introduction} \label{sec:introduction} The Linked Open Data (LOD) movement implements Tim Berner-Lee's vision of a \emph{Web of Data}. The principles underlying Linked Data enable data providers to model, interlink and publish their data on the Web in a distributed and decentralised way. On the consumer's sid...
2,877,628,090,784
arxiv
\subsection*{Abstract} Symmetries play a major role in physics, in particular since the work by E.~Noether and H.~Weyl in the first half of last century. Herein, we briefly review their role by recalling how symmetry changes allow to conceptually move from classical to relativistic and quantum physics. We then introdu...
2,877,628,090,785
arxiv
\section{Introduction} Pioneered by Batch Normalization (BN)~\cite{BatchNorm}, feature normalization has become ubiquitous in the development of deep learning. Feature normalization consists of two components: \textit{feature standardization} and \textit{channel-wise affine transformation}. The latter is introduced to...
2,877,628,090,786
arxiv
\section*{Introduction} In \cite{WITTEN} Witten pointed out the mathematical inconsistency of an $SU(2)$ gauge theory coupled to only an odd number of Weyl fermions. The inconsistency arises when one consi\-ders the behaviour of the effective action under topologically non-trivial gauge transformations ($\pi_4[SU(2)]...
2,877,628,090,787
arxiv
\section{Introduction} Value-at-Risk (VaR) and Expected Shortfall (ES, also known as TVaR and CVaR) are the most widely used risk measures for regulation in finance and insurance. The former has gained its popularity due to its simplistic approach toward risk as the risk quantile, and the second one is perceived to be ...
2,877,628,090,788
arxiv
\section*{Introduction} Let $K$ be a complete field with respect to a non-trivial non-archimedean absolute value $|\cdot|:=|\cdot|_K$. Mumford built in 1972 some algebraic curves associated to certain subgroups of the linear group $\PGL_2(K)$ analogous to a construction of Schottky over the complex numbers. He restri...
2,877,628,090,789
arxiv
\section{Introduction} We consider the following Mac-Laurin development \begin{equation}\label{x9ed7za} \frac{(1+xz)^\alpha}{(1-z)^\beta}=\sum_{n=0}^\infty{A_n(\alpha,\beta,x)}z^n, \end{equation} where $\alpha>0, \ \beta>0, \ x=e^{i\theta}, \ \theta\in[-\pi,\pi],$ and $z\in{U.}$ It is easily seen, that the...
2,877,628,090,790
arxiv
\chapter*{Acknowledgments} \vspace{-1cm} \noindent\rule[0.5ex]{\linewidth}{2pt} \vspace{0.5cm} \noindent The completion of this thesis would not have been possible without the many people who have supported and encouraged me along the way. I take this opportunity to express my gratitude towards them. First and forem...
2,877,628,090,791
arxiv
\section{Introduction}\label{sec:intro} Mathematical models of epidemics have been studied extensively for over two centuries, providing insight into the process by which infectious diseases and viruses spread across human or other biological populations~\cite{review,hethcote2000mathematics,anderson1991_virusbook}. Mo...
2,877,628,090,792
arxiv
\section{Introduction} This paper is a continuation of the investigations of the problem of restricted words enumeration from the author's previous papers~\cite{ja1,ja2,ja3}, where two functions $f_m$ and $c_m$ were defined as follows. For an initial arithmetic function $f_0$, the function $f_m,(m\geq 1)$ is the $m^...
2,877,628,090,793
arxiv
\section{Introduction} \label{sec:introduction} Evolution has equipped microorganisms with a variety of motility patterns that allow them to explore their environment efficiently for various tasks. For example, bacteria live in soil or larger host organisms where they search their environment for nutrients ...
2,877,628,090,794
arxiv
\section{Introduction} Schreier formula for the rank of a subgroup of finite index of a finitely generated free group $F$ is generalized to an arbitrary (even infinitely generated) subgroup $H$ through the Schreier transversals of $H$ in $F$. The rank formula may also be expressed in terms of the cogrowth of $H$. \\ W...
2,877,628,090,795
arxiv
\section{Introduction} Conceptual graphs (CGs)~\cite{chein_conceptual_2008} refer to a family of formalisms of graph-based knowledge representation, close to existing semantic web languages such as RDF(S)~\cite{manola2004rdf,brickley2014rdf} and OWL~\cite{mcguinness2004owl}. Their advantages include their data modeli...
2,877,628,090,796
arxiv
\section{Introduction} \label{sec_intro} Magnetic fluid hyperthermia (MFH) has gained wide interest in its applicability in medical sciences \cite{biomedical}. Enhancing specific absorption loss (SAR) by core-shell nanostructures, see e.g. \cite{boubeta,lee} or via anisotropy \cite{bertotti, poperechny} are also exten...
2,877,628,090,797
arxiv
\section{Introduction} Computed tomography is widely used in various fields: medicine~\citep{kesminiene2018cancer}, precise measurements~\citep{buratti2018applications}, agriculture~\citep{mairhofer2017x}. In tomography, the mutual trajectories of the sample, detector, and probe radiation source are usually considered...
2,877,628,090,798
arxiv
\section{Introduction} The $(k,d)$-hypersimplex, denoted by $\Delta _{d,k}$, is defined as the convex hull of all ($0,1)$-vectors in $% \mathbb{R} ^{d}$ whose nonzero elements sum to $k$. Hypersimplices are $(d-1)$% -dimensional polytopes that appear in various algebraic and geometric contexts (e.g., see [6]). The pol...
2,877,628,090,799
arxiv
\section{Introduction} \subsection{The microscopic onset of irreversibility} Recently the phenomenon of \emph{probabilistic hysteresis} has been introduced \cite{dimer, trimer, quantum_dimer_I}: A slow, cyclic sweep of an external parameter can lead to a state that is very different from the initial state, even though ...
2,877,628,090,800
arxiv
\section{Reorthogonalization of LIOMs} \label{app1} For clarity, the derivation of the true perturbation, $H^{\perp}_{\Delta}$, has been carried out for the grand canonical averaging, $\langle ... \rangle$, when the occupations of the Anderson states are independent and the products $Q^{(2)}_{\alpha,d}$ are mutually ...
2,877,628,090,801
arxiv
\section{Introduction} During the past decades, two-dimensional (2D) gravitational models continue attracting the attention of theorists for a variety of reasons. First of all, the field equations obtained in many 2D gravity models are simple enough to allow a rigorous analysis of some difficult issues of gravitationa...
2,877,628,090,802
arxiv
\section{Introduction} Given a finite set $\Omega$, a coloring of $\Omega$ is a map $\chi: \Omega\to \{1, -1\}$, and $\chi(A) = \sum_{x\in A}\chi(x).$ For a family $\mathcal{A}$ of subsets of $\Omega$, the discrepancy of $\mathcal{A}$ is defined to be \[\disc(\mathcal{A}): = \min_{\chi} \max_{A \in \mathcal{A}} |...
2,877,628,090,803
arxiv
\section{Introduction} The observation of the Mott-insulator state of a degenerate Bose gas in an optical lattice \cite{Greiner2002a} has opened an exciting new avenue for investigating strongly correlated condensed matter systems. Ensuing experiments (e.g. \cite{Greiner2002b,Mandel2003a,Widera2004a}) have investigated...
2,877,628,090,804
arxiv
\section{Introduction} The transfer of quantum information between harmonic oscillators coupled by linear interactions has a variety of applications, including communication in linear networks~\cite{Chudzicki10}, cooling of mechanical resonators~\cite{Wang11, Machnes12}, and frequency conversion~\cite{Tian10, Stannige...
2,877,628,090,805
arxiv
\section{Introduction} \label{sec:introduction} The ANTARES neutrino telescope is located at a depth of 2475 m in the Mediterranean Sea, roughly \mbox{40 km} offshore from Toulon in France. Its main objective is the observation of extraterrestrial neutrinos. Relativistic charged leptons produced by neutrino inter...
2,877,628,090,806
arxiv
\section{Introduction} Potentials define a specific concept in physics. They predict the evolution of a system from a variational principle. Such principles span many scientific fields from mechanics, electromagnetism and optics to control theory, thermodynamics and statistical physics. A variational principle elegant...
2,877,628,090,807
arxiv
\section{Introduction} The binary erasure channel (BEC) is a very well known channel of \emph{communication} which was introduced by Elias in 1955 \cite{Elias1955}. Due to its simplicity, it has been a starting point to design new coding schemes and analyze the properties of codes \cite{Arikan2009, Di2002}. In a...
2,877,628,090,808
arxiv
\section{Introduction} The role of the gas in the formation and evolution process of early-type galaxies is still not fully understood. For example, recent studies have shown a large complexity in the gas structures in these systems (e.g. Morganti et al. 2006, Sarzi et al. 2006, Combes et al 2007) despite their often ...
2,877,628,090,809
arxiv
\section{Conclusion} We showed a design for a quantization guided JPEG artifact correction network. Our single network is able to acheive state-of-the-art results, beating methods which train a different network for each quality level. Our network relies only on information that is available at inference time, an...
2,877,628,090,810
arxiv
\section{Introduction} The recent discovery of a short gamma-ray burst (GRB) associated with a gravitational-wave event from a binary neutron star merger (e.g., \citealp{abbott2017}) has sparked renewed interest in these fascinating phenomena. GRBs have been studied for decades and great progress has been made in un...
2,877,628,090,811
arxiv
\section{\label{sec:intro}Introduction} Bisphosphonates (BPs) are widely used as the most powerful drug for protecting bone and treating bone disease such as osteoporosis and other metabolic bone disorders~\cite{Ebetino,Bartl,Coxon,Russell08,Russell11}. From the 1960s onward, a great number of extensive studies on BPs...
2,877,628,090,812
arxiv
\section{Introduction} The field-antifield BV formalism \cite{BV} is a Lagrangian path integral method to quantize general gauge theories (important early contributions are \cite{ZJ}-\cite{WH}). It has been shown to work for an ever increasing number of models. In the BV formalism one introduces antifields with op...
2,877,628,090,813
arxiv
\section{Supplementary material for "Vaporization dynamics of a dissipative quantum liquid"} \setcounter{equation}{0} \renewcommand{\theequation}{S\arabic{equation}} \setcounter{figure}{0} \renewcommand{\thefigure}{S\arabic{figure}} \section{The current operator} The physical fermion field is de...
2,877,628,090,814
arxiv
\section*{Introduction} The first demonstration of the stable 3D optical trapping of micron-scale particles was in the 1980s \cite{Ashkin1986}, and since then there has been an explosion of research using ``optical tweezers'', to the point that they are an off-the-shelf tool for physical and biological scientists. Usi...
2,877,628,090,815
arxiv
\section{Introduction} \label{sec:intro} Fast radio bursts (FRBs) are bright transients that last roughly a millisecond \citep{Lorimer2007, Thornton2013}. Based on their large dispersion measures and the observed redshifts of several of their host galaxies, most of the detected FRBs are believed to originate at extrag...
2,877,628,090,816
arxiv
\section{Introduction} Chinese calligraphy is a very unique visual art and an important manifestation of Chinese ancient culture which is popular with many people in the world. Writing a pleasing calligraphy work is so difficult that it always takes the writer many years to learn from the famous calligraphers' facsimi...
2,877,628,090,817
arxiv
\section{Introduction}\label{s:intro} Type Ia supernovae (SNIa) are the result of the thermonuclear disruption of carbon-oxygen white dwarf (WD) stars, due to their destabilization by a companion star in a binary or a ternary system \citep{2000hil,2011how,2012kaz,2014mao}. The spectra and light curves of SNIa can be r...
2,877,628,090,818
arxiv
\section{Introduction} Product distribution strategy has a significant impact on the supply chain performance. According to \cite{apte2000effective}, 30\% of an item price is incurred in the distribution process. Hence, lots of companies are currently trying to develop new distribution strategies to efficiently manag...
2,877,628,090,819
arxiv
2,877,628,090,820
arxiv
\section{Introduction} It has been demonstrated that one can improve the sensitivity and precision of many classical measurement techniques using various quantum states of light~\cite PhysRevA.44.3266,Ribeiro:97,Hayat:99,Treps940,Giovannetti1330,PhysRevA.77.053807,Plick_2010,Brida:2010lh,nphoton.2012.300,nphoton.2012...
2,877,628,090,821
arxiv
\section{Introduction} The Encke Gap is a 320-km-wide opening in the outer part of Saturn's A ring centered on the orbit of the small moon Pan. In addition to Pan itself, this gap contains several faint ringlets with spectral and photometric properties that indicate they are composed primarily of dust-sized grains les...
2,877,628,090,822
arxiv
\section{Introduction} {\it Dynamical triangulations} (DT) were invented as a nonperturbative regularization of bosonic string theory and thus also of two-dimensional quantum gravity coupled to conformal matter. This program was both a failure -- in showing that even in a nonperturbative setting no bosonic string th...
2,877,628,090,823
arxiv
\section{WHY CLOUD?} The unprecedented growth of the global smartphone market over the last decade has been mirrored by the more recent emergence and rapid expansion of enterprise Cloud Computing Platforms (CCP). CCP provide on-demand computing, storage and software accessible over the internet, allowing for the remote...
2,877,628,090,824
arxiv
\section{#1}\setcounter{equation}{0}} \newcommand{\subsection}{\subsection} \newcommand{\vrule height 8mm width 0pt \displaystyle}{\vrule height 8mm width 0pt \displaystyle} \newcommand{\mbox{\rm I}\!\mbox{\rm R}}{\mbox{\rm I}\!\mbox{\rm R}} \newcommand{{i.e.}}{{i.e.}} \newcommand{{e.g.}}{{e.g.}} \newcommand{\hskip 0pt...
2,877,628,090,825
arxiv
\section{Introduction} Let $x, y \in \mathbb{C}^k$ be $k$-dimensional complex-valued vectors. We denote their inner product as \[ \inner{x}{y} = \sum_{i=1}^k x_i^* y_i \, . \] Now suppose we have a directed graph $G=(V,E)$. Let us associate a vector $x_v \in \mathbb{C}^k$ with each vertex $v$, and consider the prod...
2,877,628,090,826
arxiv
\section*{Abstract} Code initialization---the step of loading code, executing \emph{static} code, filling caches, and forming re-used connections---tends to dominate cold-start time in serverless compute systems such as \aws \awslambda. Post-initialization memory snapshots, cloned and restored on start, have emerged a...
2,877,628,090,827
arxiv
\section{Introduction} \label{sec:intro} Jets, collimated showers of energetic final-state particles, and the physical observable related to jets are not only most closely related to the perturbative QCD (pQCD) dynamics, but also among the most intensively studied objects in high-energy physics~\cite{Salam:2009jx,E...
2,877,628,090,828
arxiv
\section{Introduction} Charting the complex interface of biological membranes is essential in determining how localized interactions contribute to overall cellular function. Containing an elaborate mesh of membrane proteins, assorted lipids and domains of many types, regional lipid orientation within membranes can giv...
2,877,628,090,829
arxiv
\section{Introduction} It is well known that Einstein's theory of General Relativity is not straightforward to quantize. This is easily seen from the fact that GR is not perturbatively renormalizable. Simply put, one can attempt to quantize GR as an ordinary spin-two field in flat Minkowski spacetime, in the following...
2,877,628,090,830
arxiv
\section{Introduction} In this paper, our aim is to count the number of rational points of bounded height on the surface $S \subset \mathbb{P}^6$ given by \begin{align} x_{3}^{2} + x_{0} x_{5} + x_{1} x_{6} & = x_{2} x_{3} - x_{0} x_{6} =x_{1} x_{2} + x_{0} x_{3} + x_{0} x_{4}= 0,\nonumber \\ x_{3} x_...
2,877,628,090,831
arxiv
\section{Introduction} Open systems that exchange matter with the environment represent a major challenge for theoreticians and simulators. In fact, the variation of the number of particles during the evolution of the system corresponds to a sudden change of the total amount of microscopic information that one must pro...
2,877,628,090,832
arxiv
\section{Introduction} The Sydney-AAO Multi-object Integral Field Spectrograph (SAMI) is a prototype wide-field system at the Anglo-Australian Telescope (AAT) deploying $13 \times 61$-core imaging fibre bundles (hexabundles) over a 1-degree field of view \citep{2012clb+}. The hexabundles, together with ancillary...
2,877,628,090,833
arxiv
\section{SUPPLEMENTAL MATERIAL} \end{widetext}
2,877,628,090,834
arxiv
\section{Introduction} \label{intro} \textbf{\emph{Scientific motivations.}} When searching for the signals of new particles, or when aiming to detect new astronomical objects, a common difficulty arising in the analysis of the data collected by the detectors is the impossibility of correctly specifying the backg...
2,877,628,090,835
arxiv
\section{Introduction} \label{sec:intro} \subsection{Background} \label{ssec:bgnd} Sometimes constraints are maintained effortlessly, an example being $\nabla\cdot\mathbf{B}=0$ in electrodynamics which if initially true remains true, while alternatively in most cases dynamical equations must be modified to main...
2,877,628,090,836
arxiv
\section{Introduction \& Related Work} \label{sec:intro} Exploration is one of the central problems of RL and has been studied primarily assuming access to an online environment \citep{sutton2018}. Offline RL, the problem of learning a policy from a previously collected experience history, has gained a lot of attentio...
2,877,628,090,837
arxiv
\section*{Introduction} The vision of the semantic web is to build a massive network of distributed, interconnected, machine-readable data \cite{1}\cite{2}. The goal is not only for software programs to be able to access and query the data itself, but also to make automated inferences based on the meaning that is enco...
2,877,628,090,838
arxiv
\section{Background} In 2004 Hegarty \cite{hegarty2004permutations} introduced the notion of permutations that destroy arithmetic progressions in finite cyclic groups. \begin{defn} Given a permutation $\pi:\mathbb Z/n\mathbb Z\to \mathbb Z/n\mathbb Z$, a three term arithmetic progression $(a, a+r, a+2r)$, with not all ...
2,877,628,090,839
arxiv
\section{Introduction} With the development of Internet, tons of videos are continuously generated in video content platforms, like YouTube, Netflix, Bilibili, etc. It shows that video understanding becomes more and more indispensable. Most videos are untrimmed in nature, thus temporal action detection is a fundamental...
2,877,628,090,840
arxiv
\section{Introduction} Supersymmetry (SUSY) is widely viewed as the most likely theory beyond the Standard Model (SM). In SUSY extensions of the SM, the spectrum of sparticle masses is strongly dependent on the mechanism for SUSY breaking. Gauge- and gravity-mediated SUSY breaking ar...
2,877,628,090,841
arxiv
\section{Introduction} With the rapid development of active safety and autonomous functions, modern automotive systems have become complex cyber-physical systems that involve close interactions between the cyber domain (i.e., automotive electronic systems) and the physical domain (i.e., mechanical components and surr...
2,877,628,090,842
arxiv
\section{Introduction} \subsection{Nonparametric Bayesian Shrinkage} Bayesian analysis has long been a major methodological vehicle for implementation of shrinkage ideas in complex scenarios. There are two primary ways in which such shrinkage is implemented. The first is through use of prior distributions whi...
2,877,628,090,843
arxiv
\section{Introduction} \label{sec:intro} Speech-to-text translation (ST) has been traditionally addressed by pipeline approaches involving several components \cite{iwsltprec_2019}. The most important blocks are the speech recognition (ASR), which converts the input audio into its transcript, and the neural machine tran...
2,877,628,090,844
arxiv
\section{Introduction.} The discovery of neutrino oscillations can be considered as one of the greatest triumphs of modern physics. It began with atmospheric neutrino oscillations \cite{SUPERKAMIOKANDE} interpreted as $\nu_{\mu} \rightarrow \nu_{\tau}$ oscillations, as well as $\nu_e$ disappearance in solar neutrino...
2,877,628,090,845
arxiv
\section{Introduction} \begin{document} \title{Quantum Coding Theorems for Arbitrary Sources, Channels and Entanglement Resources} \author{{Garry~Bowen~and~Nilanjana~Datta \thanks{This work was supported by the EPSRC (Research Grant GR/S92816).}% \thanks{G. Bowen is with the Centre for Quantum Computation, Departm...
2,877,628,090,846
arxiv
\section{Introduction}\label{section1} We work over an infinite field $\FF$ of arbitrary characteristic $p=\Char{\FF}\geq0$. All vector spaces, algebras, modules as well as tensor products are over $\FF$ and all algebras are associative with unity unless otherwise stated. All ideals are two-sided. \subsection...
2,877,628,090,847
arxiv
\section{Introduction} Incompressible fluid dynamics underlies the vast majority of natural phenomena. It is described by famous Navier-Stokes equation \begin{equation} \dot{v}_{\alpha} = \nu \partial_{\beta}^2 v_{\alpha} - v_{\beta} \partial_{\beta} v_{\alpha} - \partial_{\alpha} p \\;\; \partial_{\alpha}v_{\alpha} =...
2,877,628,090,848
arxiv
\section{Introduction} In physics, there are relations connecting different thermodynamic quantities in equilibrium, such as $P=(2/3)E$ for both noninteracting fermions~\cite{Walecka} and unitary Fermi gases~\cite{HoPRL04}. Here $P$ is the pressure and $E$ is the energy density, and a unitary Fermi gas consists of two-...
2,877,628,090,849
arxiv
\section*{Introduction} Plain Kolmogorov complexity $\KS(x)$ of a binary string $x$ was defined in~\cite{kolm65} as the minimal length of a program that computes $x$. (See the preliminaries or~\cite{GacsNotes,LiVitanyi,shen00} for the details.) It was clear from the beginning (see, e.g.,~\cite{ZvonkinLevin}) that co...
2,877,628,090,850
arxiv
\section{\label{sec:level1} Introduction} The Cosmological Constant (CC) problem \cite{Zeldovich:1967gd, Zel'dovich:1968zz, Wilczek:1983as, Weinberg:1988cp} is a shadow in modern Physics. Such a discrepancy between predictions and observations has been, in the history of Science, a sign of a paradigmatic change of ...
2,877,628,090,851
arxiv
\section*{INTRODUCTION} The denomination ``sigma term'' stands, in a generic way, for the contribution of the quark masses $m_q$ to the mass $M_h$ of a hadronic state $\vert h(p)>$. According to the Feynman-Hellmann theorem~ \cite{FeynHell}, one has the exact result (the notation does not explicitly take into acco...
2,877,628,090,852
arxiv
\section{Charged hard-core interacting deterministic lattice gas} We consider a deterministic lattice gas of charged particles with three local states $\mathcal{Q} = \{\emptyset, +, -\}$, with the corresponding charges $q \in \{0, +1, -1\}$ (which we identify with the states from $\mathcal{Q}$), moving on a light-cone ...
2,877,628,090,853
arxiv
\section*{A. Generalization of the environmental dynamics to $N$ processes and $M$ jumps} Let us consider a set of $N$ Langevin equations of the form \begin{equation} \label{eqn:langevin_equations} \dv{x_\mu}{t} = - f_\mu(x_\mu) + \sqrt{2D_{i(t)}} \, \xi_\mu(t) \quad\quad \mu = 1 \dots, N \end{equation} where $...