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\section{ Introduction} The counting and construction of primary fields in free scalar field theories was found to have surprisingly simple and elegant geometrical structures in \cite{DRRR17-PRL,DRRR17}. General primary fields in scalar field theory in $d$ dimensions, which are composites of $n$ elementary fields, ...
{ "timestamp": "2018-06-05T02:17:44", "yymm": "1806", "arxiv_id": "1806.01085", "language": "en", "url": "https://arxiv.org/abs/1806.01085" }
\section{Introduction}\label{sec:introd} The set of simple closed geodesics on finitely generated hyperbolic surfaces has many remarkable properties and is related to various aspects of geometric and dynamical properties of moduli spaces and mapping class groups. Among these properties is a result of Birman and Series...
{ "timestamp": "2018-06-05T02:15:14", "yymm": "1806", "arxiv_id": "1806.00998", "language": "en", "url": "https://arxiv.org/abs/1806.00998" }
\section{Introduction} From the finite element practitioners point of view, hexahedral meshes have several advantages over tetrahedral meshes. However, there is no algorithm to generate a hexahedral mesh conformal to a given quadrilateral boundary. The state-of-the-art hexahedral meshing methods fail on small polyhe...
{ "timestamp": "2018-09-24T02:09:45", "yymm": "1806", "arxiv_id": "1806.01022", "language": "en", "url": "https://arxiv.org/abs/1806.01022" }
\section{Introduction} \label{sec:intro} Nowadays, the new advanced remote sensing techniques for earth observation generate increasingly available high-resolution image data obtained from satellites, airplanes and unmanned aerial vehicles. The improvement of image resolution, resulting in more and more ground deta...
{ "timestamp": "2018-06-05T02:13:16", "yymm": "1806", "arxiv_id": "1806.00899", "language": "en", "url": "https://arxiv.org/abs/1806.00899" }
\section{Introduction} The human ability to think in spontaneous analogies motivates the field of unsupervised domain alignment, in which image to image translation is achieved without correspondences between samples in the training set. Unsupervised domain alignment methods typically operate by finding a function for...
{ "timestamp": "2018-09-05T02:27:02", "yymm": "1806", "arxiv_id": "1806.00804", "language": "en", "url": "https://arxiv.org/abs/1806.00804" }
\section{Introduction} The following application of representation theory to quantum integrability was discovered in the 1970's by Kostant \cite{Kos79}. Let $G$ be a simply-connected semisimple complex Lie group with positive and negative maximal unipotent subgroups $N_\pm$ and a maximal torus~$H$. If we fix two holo...
{ "timestamp": "2018-11-20T02:07:44", "yymm": "1806", "arxiv_id": "1806.00747", "language": "en", "url": "https://arxiv.org/abs/1806.00747" }
\section{Introduction} The \emph{phi-function} was introduced by Euler in connection with his generalization of Fermat's Theorem. It occurs without the functional notation in his 1759 paper \emph{Theoremata arithmetica nova methodo demonstrata} \cite{euler271}. In {\S 3} of his 1775 paper \cite{euler564}, Euler deno...
{ "timestamp": "2018-06-05T02:18:55", "yymm": "1806", "arxiv_id": "1806.01149", "language": "en", "url": "https://arxiv.org/abs/1806.01149" }
\section{Introduction}\label{intro} Shortly after the Big Bang, all ordinary matter in the Universe was in the form of hydrogen and helium gas, with only trace amounts of other light elements like Li and Be. The chemical elements required for the existence of life were later forged in stars and dispersed into the inte...
{ "timestamp": "2018-11-29T02:06:49", "yymm": "1806", "arxiv_id": "1806.00932", "language": "en", "url": "https://arxiv.org/abs/1806.00932" }
\section{Introduction} Recently, a number of experimental measurements involving semitauonic decays of the charged current $b\rightarrow c \tau \nu_{\tau}$ transitions have shown interesting deviations from their Standard Model (SM) expectations, though the significance of the excess is low due to the large sta...
{ "timestamp": "2018-08-30T02:13:19", "yymm": "1806", "arxiv_id": "1806.00796", "language": "en", "url": "https://arxiv.org/abs/1806.00796" }
\section{Introduction} \label{SecIntro} Chiral effective--field theories (EFTs) provide a framework for building internucleon interactions that offers several advantages \cite{Bed02,EFTrev2,EFT0,EFT00}: (i) a direct link with QCD, (ii) consistent two--body and three--body forces, (iii) the possibility of systematic imp...
{ "timestamp": "2018-09-26T02:12:36", "yymm": "1806", "arxiv_id": "1806.01084", "language": "en", "url": "https://arxiv.org/abs/1806.01084" }
\section{Introduction} The Gini correlation has been used in a wide range of fields since proposed in 1987 (\cite{Schechtman87}). In the field of economic data analysis, the Gini correlation enables us to test whether an asset increases or decreases the risk of the portfolio (\cite{Schechtman99}), and can be used t...
{ "timestamp": "2018-06-05T02:10:54", "yymm": "1806", "arxiv_id": "1806.00792", "language": "en", "url": "https://arxiv.org/abs/1806.00792" }
\section{Introduction} The alignment between galaxies and the cosmic web is an important factor for comprehensively understanding structure formation in the Universe. Of particular interest is the spin axes of early-type galaxies, because one expects them to exhibit specific patterns in filaments related to the cosm...
{ "timestamp": "2018-06-05T02:12:53", "yymm": "1806", "arxiv_id": "1806.00886", "language": "en", "url": "https://arxiv.org/abs/1806.00886" }
\section{Introduction} Open star clusters are important tools to study Galactic chemical composition and structure, dynamical evolution and star formation processes in the Galaxy. Since their members are formed within a few millions years simultaneously from the same molecular cloud, they are almost at the same age and...
{ "timestamp": "2018-06-05T02:14:07", "yymm": "1806", "arxiv_id": "1806.00947", "language": "en", "url": "https://arxiv.org/abs/1806.00947" }
\section{Introduction} \label{intro} Any complete theory of star formation must account not only for the properties and dynamics of individual stellar systems, but also for the distributions of stellar properties and the behaviour of these systems as part of larger ensembles. Although the stellar initial mass function ...
{ "timestamp": "2018-06-05T02:16:18", "yymm": "1806", "arxiv_id": "1806.01033", "language": "en", "url": "https://arxiv.org/abs/1806.01033" }
\section{Introduction} The description of nuclei far from the valley of stability is a challenge in nuclear physics. These nuclei exhibit unusual properties such as halo densities and weak bindings. The coupling to the continuum is needed for the theoretical description of these exotic nuclei. The Gamow shell model \...
{ "timestamp": "2018-06-05T02:15:48", "yymm": "1806", "arxiv_id": "1806.01014", "language": "en", "url": "https://arxiv.org/abs/1806.01014" }
\section{Introduction} Recently, there has been an increasing interest in distributed applications which require processing continuously flowing data from geographically distributed sources to achieve timely responses to complex queries, such as data stream processing (DSP) systems~\cite{abadi2005design,abadi2003aurora...
{ "timestamp": "2018-06-05T02:18:13", "yymm": "1806", "arxiv_id": "1806.01109", "language": "en", "url": "https://arxiv.org/abs/1806.01109" }
\section{The symmetries of the Cayley tree, the graph Laplacian and eigenvalues} A graph is a set of nodes, which may be pairwise connected by edges. In this paper we will only be concerned with undirected edges, and only one edge, if any, is permitted between each pair of nodes. A tree is a graph whose edges do not...
{ "timestamp": "2018-06-05T02:15:32", "yymm": "1806", "arxiv_id": "1806.01006", "language": "en", "url": "https://arxiv.org/abs/1806.01006" }
\section{Introduction} \label{sec_introduction} The 3D die-stacking DRAM provides high bandwidth, low latency and large capacity, mitigating memory wall. Due to its gigascale capacity, the 3D die-stacking DRAM could not replace off-chip DRAM and has been proposed to be architected as the last level cache, referred t...
{ "timestamp": "2018-06-05T02:10:44", "yymm": "1806", "arxiv_id": "1806.00779", "language": "en", "url": "https://arxiv.org/abs/1806.00779" }
\section{Introduction} \label{intro} Reproducibility is at the core of the scientific process. A basic aspect of science is the ability to establish reproducible effects. Karl Popper's notion of falsifiability depends on reproducibility: a theory is falsified when {\it reproducible} effects refute it \cite{popper1959}....
{ "timestamp": "2018-06-05T02:17:38", "yymm": "1806", "arxiv_id": "1806.01078", "language": "en", "url": "https://arxiv.org/abs/1806.01078" }
\section{Introduction} Phonon-mediated conventional superconductors possess $s$-wave pairing symmetry, while unconventional ones prefer $d$-wave, $p$-wave or $s$$_\pm$-wave and their pairing glues are likely not phonon \cite{C0}. Unconventional superconductivity usually resides in quasi-two-dimensional (quasi-2D) comp...
{ "timestamp": "2018-06-05T02:18:45", "yymm": "1806", "arxiv_id": "1806.01141", "language": "en", "url": "https://arxiv.org/abs/1806.01141" }
\section{Introduction} The authors in joint work (cf. \cite{mr, mr2, mrasympt, mr5}) and the second author in his thesis (\cite{rasthesis}) investigated the distribution of cotangent sums $$c_0\left(\frac{r}{b}\right):=\sum_{m=1}^{b-1}\frac{m}{b}\cot\left(\frac{\pi m r}{b}\right)\:,$$ as $r$ ranges over the set $$\{r\:...
{ "timestamp": "2018-06-05T02:10:35", "yymm": "1806", "arxiv_id": "1806.00772", "language": "en", "url": "https://arxiv.org/abs/1806.00772" }
\section{Introduction} \label{section:secIntro} \vspace{5pt} Video streaming service, such as YouTube, Netflix, and Hulu, depend heavily on the video recommendation system to help its user discover videos they would enjoy (see Figure~\ref{figure:hulu} for personalized recommendation cases in Hulu). Most existing recom...
{ "timestamp": "2018-06-05T02:09:25", "yymm": "1806", "arxiv_id": "1806.00737", "language": "en", "url": "https://arxiv.org/abs/1806.00737" }
\section{Introduction} \label{sec:intro} The implementation of complex designs is challenging even for experts. This complexity often leads to bugs in the implementation. Therefore, complex pieces of software or hardware are usually extensive tested and/or verified. This, however, is complicated by the fact that mos...
{ "timestamp": "2018-06-05T02:14:47", "yymm": "1806", "arxiv_id": "1806.00981", "language": "en", "url": "https://arxiv.org/abs/1806.00981" }
\section{Introduction} \IEEEPARstart{B}{andwidth} shortage is a major challenge for current wireless networks. Most of the available spectrum at microwave frequencies is occupied while there is a pressing need for higher throughputs and larger bandwidths \cite{Rapp_BW}. During the past few years, millimeter wave (mmWa...
{ "timestamp": "2019-01-29T02:29:05", "yymm": "1806", "arxiv_id": "1806.00985", "language": "en", "url": "https://arxiv.org/abs/1806.00985" }
\section*{Introduction} When planar structures are extended to 3D by changing their curvature, the magnetic behavior of the corresponding surface can change significantly, leading for example to the appearance of new magnetic configurations that are not energetically favorable in the planar case \cite{Fernandez-Pachec...
{ "timestamp": "2018-06-05T02:16:38", "yymm": "1806", "arxiv_id": "1806.01040", "language": "en", "url": "https://arxiv.org/abs/1806.01040" }
\section{Introduction} The superinsulating state, having infinite resistance at finite temperatures\,\cite{Diamantini1996,Doniach1998,vinokur2008superinsulator,vinokurAnnals,cbkt} is the state dual to superconductivity, endowed with a finite temperature infinite conductance. Originally\,\cite{Diamantini1996,Doniach...
{ "timestamp": "2018-06-05T02:11:33", "yymm": "1806", "arxiv_id": "1806.00823", "language": "en", "url": "https://arxiv.org/abs/1806.00823" }
\section{Introduction} Quantum computing promises a rapid enhancement of the available computational power for selected algorithms while transistor scaling is slowing down. Not long ago, it has been proposed that quantum bits (``qubits") can be implemented in the electron spins in silicon~\cite{pla} and in conformity w...
{ "timestamp": "2018-06-05T02:18:45", "yymm": "1806", "arxiv_id": "1806.01142", "language": "en", "url": "https://arxiv.org/abs/1806.01142" }
\section{Introduction} \label{sec:introduction} There is a new breed of technologies that are becoming mainstream in current Information Technology (IT) infrastructures. Fog computing aims to partially move services from core cloud data centres into the edge of the network~\cite{Vaquero2014}. Thus, edge devices are inc...
{ "timestamp": "2018-06-08T02:09:22", "yymm": "1806", "arxiv_id": "1806.00764", "language": "en", "url": "https://arxiv.org/abs/1806.00764" }
\section{Discussion} Sample complexity. Discounted. Communicating MDP. \section{Extensions and Future Work} It is worth extending the approach developed in this paper to the case of structured discounted RL problems (although for such problems, there is no ideal way of defining the regret of an algorithm). The...
{ "timestamp": "2018-11-30T02:16:55", "yymm": "1806", "arxiv_id": "1806.00775", "language": "en", "url": "https://arxiv.org/abs/1806.00775" }
\section{Introduction} The advent of quantum information theory has brought with it the idea that there is a limited sense in which physical systems -- not necessarily human or conscious -- might be said to perform observations. For instance, the reduction in visibility of quantum interference phenomena traditionally ...
{ "timestamp": "2020-01-13T02:05:52", "yymm": "1806", "arxiv_id": "1806.00895", "language": "en", "url": "https://arxiv.org/abs/1806.00895" }
\section{Introduction} Let $\Omega$ be a smooth bounded mean-convex domain in $\mathbb R^{n+1}.$ The level set equation on $\Omega$ is a degenerate elliptic boundary value problem asking for a function $t\colon \Omega \to\mathbb R$ with $t = 0$ on the boundary $\partial\Omega$ and \begin{align} |\nabla t| \div{\le...
{ "timestamp": "2018-06-05T02:13:52", "yymm": "1806", "arxiv_id": "1806.00930", "language": "en", "url": "https://arxiv.org/abs/1806.00930" }
\section*{Setup of the calculation and results} For concreteness, we assume that the solute-containing complex is a dimer. The coordinate-dependent concentrations of the solute (``the monomer'') and the complex (``the dimer'') are denoted with $n_1$ and $n_2$, respectively. The corresponding reaction-diffusion sc...
{ "timestamp": "2018-06-05T02:18:35", "yymm": "1806", "arxiv_id": "1806.01134", "language": "en", "url": "https://arxiv.org/abs/1806.01134" }
\section{Introduction} \label{sec_intro} The scattering process of an incident nucleon off a target nucleus is a widespread experimental tool for investigating, with specific nuclear reactions, the different properties of a nuclear system. Elastic scattering is probably the main event occurring in the nucleon-nucleus...
{ "timestamp": "2018-06-05T02:16:28", "yymm": "1806", "arxiv_id": "1806.01037", "language": "en", "url": "https://arxiv.org/abs/1806.01037" }
\section{\label{sec:level1}Introduction} The features of the metal-hydrogen interaction have been extensively studied over many years \cite{mueller2013metal, sakintuna2007metal, fukai2006metal}. The addition of hydrogen in metals leads to the change in its mechanical, transport, magnetic and other properties caused by...
{ "timestamp": "2019-05-30T02:08:49", "yymm": "1806", "arxiv_id": "1806.00847", "language": "en", "url": "https://arxiv.org/abs/1806.00847" }
\section{Introduction} Topological systems~\cite{Hasan10} are one of the most active current research areas in condensed matter physics. A crucial advance in this field was the Haldane model~\cite{Haldane88} (HM), a hexagonal model in which time-reversal symmetry and inversion symmetry are simultaneously broken. The...
{ "timestamp": "2018-06-05T02:18:18", "yymm": "1806", "arxiv_id": "1806.01111", "language": "en", "url": "https://arxiv.org/abs/1806.01111" }
\section{Introduction}\label{S1} Semiprimitive groups have been the topic of several recent papers, driven by their connection to the Weiss Conjecture in graph theory \cites{OGRPG, CSPGGR, LSGTW}, the structure of collapsing monoids \cite{BM}, and the fact that they naturally generalise the important classes of \textit...
{ "timestamp": "2018-06-05T02:13:59", "yymm": "1806", "arxiv_id": "1806.00941", "language": "en", "url": "https://arxiv.org/abs/1806.00941" }
\section{Introduction} This article introduces the \pkg{pammtools} package (\href{https://adibender.github.io/pammtools/}{https://adibender.github.io/pammtools/}), which provides functions to facilitate the estimation and interpretation of a class of models for time-to-event data analysis, which we call \emph{P}iece-wi...
{ "timestamp": "2018-06-05T02:16:43", "yymm": "1806", "arxiv_id": "1806.01042", "language": "en", "url": "https://arxiv.org/abs/1806.01042" }
\section{Introduction} Unmixing process is pivotal to accurate object identification and land cover mapping \cite{richards1999remote} from remotely sensed hyperspectral images. Hyperspectral images capture reflectance pattern of a large number of spectral bands in the electromagnetic range from visible to infra-red re...
{ "timestamp": "2018-06-05T02:12:21", "yymm": "1806", "arxiv_id": "1806.00864", "language": "en", "url": "https://arxiv.org/abs/1806.00864" }
\section{Background} \label{sect:background} Requirements regarding security, fault-tolerance, and real-time performance can only be met if the lowest layer in the software stack, the operating system kernel, provides proper support. One long-standing quarrel on this issue is whether monolithic kernels can be adequate...
{ "timestamp": "2018-06-05T02:18:55", "yymm": "1806", "arxiv_id": "1806.01147", "language": "en", "url": "https://arxiv.org/abs/1806.01147" }
\section{Introduction} \label{sec:intro} Scene classification is an important task in the interpretation of remote sensing image. In recent years, with the development of deep convolutional neural networks, deep CNNs have extraordinary performance in image classification tasks\cite{zhou2017places}. Transfer learning is...
{ "timestamp": "2018-06-05T02:11:09", "yymm": "1806", "arxiv_id": "1806.00801", "language": "en", "url": "https://arxiv.org/abs/1806.00801" }
\section{Introduction} In reinforcement learning (RL), the agent learns in a trial and error way. In a real setting, it can lead to undesirable situations which may result in damage or injury of the agent or the environment system. In addition, the agent might waste a significant amount of time exploring irrelevant re...
{ "timestamp": "2022-01-24T02:09:48", "yymm": "2107", "arxiv_id": "2107.09139", "language": "en", "url": "https://arxiv.org/abs/2107.09139" }
\section{\@startsection {section}{1}{\z@} {-30pt \@plus -1ex \@minus -.2ex} {2.3ex \@plus.2ex} {\normalfont\normalsize\bfseries\boldmath}} \renewcommand\subsection{\@startsection{subsection}{2}{\z@} {-3.25ex\@plus -1ex \@minus -.2ex} {1.5ex \@plus .2ex} {\normalfont\normalsize\bfseries\boldmath}} \renewcommand{\@secc...
{ "timestamp": "2021-07-21T02:01:55", "yymm": "2107", "arxiv_id": "2107.09107", "language": "en", "url": "https://arxiv.org/abs/2107.09107" }
\section{Introduction} In this article we investigate the spectrum of Northcott numbers of subrings of the algebraic numbers $\overline{\IQ}$ for the house and the Weil height. The Northcott number with respect to the Weil height was introduced by Vidaux and Videla \cite{ViVi16}, and refines the concept of the Northc...
{ "timestamp": "2022-02-23T02:09:57", "yymm": "2107", "arxiv_id": "2107.09027", "language": "en", "url": "https://arxiv.org/abs/2107.09027" }
\section{Introduction} Axion-like particles (ALPs) are a class of hypothetical bosons beyond the standard model of particle physics (e.g. \cite{2020arXiv201205029C,2020PhR...870....1D}). Axions are pseudo Nambu-Goldstone bosons originally introduced to solve the strong CP problem of quantum chromodynamics \citep{1978Ph...
{ "timestamp": "2021-07-22T02:13:55", "yymm": "2107", "arxiv_id": "2107.09097", "language": "en", "url": "https://arxiv.org/abs/2107.09097" }
\section{Introduction} \label{sec:intro} Mercury-manganese (HgMn) stars correspond to one of the sub-classes of the heterogeneous group of chemically peculiar (CP) stars, found on the upper main sequence. These objects are generally characterised by a significant deviation of their surface chemical composition from th...
{ "timestamp": "2021-07-21T02:01:10", "yymm": "2107", "arxiv_id": "2107.09096", "language": "en", "url": "https://arxiv.org/abs/2107.09096" }
\section{Introduction} The existence of topological edge states protected by some symmetry is perhaps the most striking feature characterizing topological insulators and superconductors. Evidence of the conducting channels in 2D topological insulators and of Dirac surface states in 3D Topological Insulators has bee...
{ "timestamp": "2022-04-15T02:14:27", "yymm": "2107", "arxiv_id": "2107.09012", "language": "en", "url": "https://arxiv.org/abs/2107.09012" }
\section{Introduction} \noindent Let $K$ be a Galois extension of ${\mathbb{Q}}$ of degree $3$. Then we can identify $K \cong \frac{{\mathbb{Q}}[X]}{(X^3-aX+b)}$ for some irreducible polynomial $X^3-aX+b \in {\mathbb{Z}}[X]$ whose discriminant $4a^3-27b^2$ is a perfect square.\\ \noindent {\it The aim of this article...
{ "timestamp": "2021-07-20T02:39:03", "yymm": "2107", "arxiv_id": "2107.09013", "language": "en", "url": "https://arxiv.org/abs/2107.09013" }
\section{INTRODUCTION} Skin cancer is mainly caused due to the unusual growth of skin cells. It often develops when the body is unprotected from the sunlight. Skin cancer detection in the early stages is a problematic even for dermatologists. As with any disease, the early detection of skin cancer could lead to much b...
{ "timestamp": "2021-07-27T02:11:50", "yymm": "2107", "arxiv_id": "2107.09118", "language": "en", "url": "https://arxiv.org/abs/2107.09118" }
\section{Introduction} A graduate student or researcher approaching a new research area may use various approaches to understand the literature, including talking to colleagues, looking for a review paper, or using keyword searches in databases. But these are least likely to work for emerging and understudied areas. A ...
{ "timestamp": "2021-07-20T02:40:04", "yymm": "2107", "arxiv_id": "2107.09038", "language": "en", "url": "https://arxiv.org/abs/2107.09038" }
\section{Introduction} Master equations appear in many different context in chemistry, biology and physics. Examples are biochemical reaction networks, stochastic population dynamics based on deaths and births, and various statistical physics problems. Master equations describe the time evolution of the probabilities...
{ "timestamp": "2021-07-21T02:00:10", "yymm": "2107", "arxiv_id": "2107.09054", "language": "en", "url": "https://arxiv.org/abs/2107.09054" }
\section{Introduction}\label{sec:introduction} \begin{figure*}[t] \centering \includegraphics[width=\textwidth]{figs/mirtl_diagram_v4.png} \caption{Our model is a generic encoder-decoder Transformer architecture where each input position contains a single spectrogram frame and each output position contains...
{ "timestamp": "2021-07-21T02:03:51", "yymm": "2107", "arxiv_id": "2107.09142", "language": "en", "url": "https://arxiv.org/abs/2107.09142" }
\section[#1]{#1${}^\dagger$}% \footnotetext[2]{#2}% \setcounter{footnote}{0}% \renewcommand{\thefootnote}{\arabic{footnote}}% } \mathchardef\mhyphen="2D \newcommand{\vect}[1]{\boldsymbol{#1}} \newcommand{\ensuremath{ {\sim}\,} }{\ensuremath{ {\sim}\,} } \newcommand{\ensuremath{ {>}\,} }{\ensuremath{ {>}\,} } \...
{ "timestamp": "2021-11-02T01:14:22", "yymm": "2107", "arxiv_id": "2107.09080", "language": "en", "url": "https://arxiv.org/abs/2107.09080" }
\section{Discussion and Conclusions} \label{sec:conclusions} In an attempt to hybridize MCMC and VI, we proposed S-SGMCMC: an approach that produces samples from a structured posterior by running SGMCMC on a modified energy function. The resulting chain of parameter iterates becomes asymptotically decoupled acros...
{ "timestamp": "2022-02-01T02:22:07", "yymm": "2107", "arxiv_id": "2107.09028", "language": "en", "url": "https://arxiv.org/abs/2107.09028" }
\section{Introduction} \label{sec:intro} Magnetic resonance imaging (MRI) is a medical imaging technique used to capture volumetric image sequences of internal soft tissues, such as cardiac muscles. In comparison to X-Ray imaging (XR) and Computer Tomography (CT), MRI provides images with improved structural details ...
{ "timestamp": "2021-07-21T02:03:37", "yymm": "2107", "arxiv_id": "2107.09134", "language": "en", "url": "https://arxiv.org/abs/2107.09134" }
\section{Conformal Field Theory} \subsection{Conformal Transformations} How is the structure of space and time related for different individuals living in it if each one of them is equipped with their own measuring sticks and clocks? Galileo would have responded that space is a rigid place and that time is universal,...
{ "timestamp": "2021-07-21T02:00:08", "yymm": "2107", "arxiv_id": "2107.09052", "language": "en", "url": "https://arxiv.org/abs/2107.09052" }
\section{Introduction} Three dimensional $U(1)$ gauge theory coupled to $N_f$ two-component Dirac fermions has fundamental applications in layered condensed matter systems, including high temperature superconductors, topological insulators, etc. The low energy limit of QED$_3$ shows intriguing phenomena reminiscent t...
{ "timestamp": "2022-05-31T02:19:26", "yymm": "2107", "arxiv_id": "2107.09020", "language": "en", "url": "https://arxiv.org/abs/2107.09020" }
\section{Introduction} In this paper $M^n$, $n\geq2$, is an $n$-dimensional simply connected smooth manifold with a geodesically complete Riemannian metric $\langle,\rangle$ of sectional curvatures satisfying $-\kappa_1^2\leq K\leq-\kappa_2^2$, where $0\leq \kappa_2\leq \kappa_1$ are constants. It has been called a pin...
{ "timestamp": "2022-03-22T02:02:49", "yymm": "2107", "arxiv_id": "2107.09135", "language": "en", "url": "https://arxiv.org/abs/2107.09135" }
\section{\label{sec:Introduction}Introduction} Critical events in the financial markets bear, in the age of globalization, ever higher risks for the world's economic system, which then, in a feedback loop, can cause negative impacts on the financial markets. An early warning system is as desirable as in the case of ...
{ "timestamp": "2021-07-20T02:40:37", "yymm": "2107", "arxiv_id": "2107.09048", "language": "en", "url": "https://arxiv.org/abs/2107.09048" }
\section{Introduction} The mechanism which is responsible for the emergence of the information about the black hole microstates and interior in the Hawking radiation is still not well understood in its full generality. Recently significant progress concerning these issues has been made with holographic duality as one o...
{ "timestamp": "2021-07-21T02:00:35", "yymm": "2107", "arxiv_id": "2107.09083", "language": "en", "url": "https://arxiv.org/abs/2107.09083" }
\section{Introduction} \label{Sec_Intro} Since the seminal studies \cite{Lifshitz61,Wagner61} by Lifshitz, Slyozov and Wagner on the Ostwald ripening, and those \cite{Lifshitz62,AllenCahn79} own to Lifshitz, Allen and Cahn on curvature-driven domain growth, investigations of phase ordering continue very al...
{ "timestamp": "2021-08-02T02:19:54", "yymm": "2107", "arxiv_id": "2107.09043", "language": "en", "url": "https://arxiv.org/abs/2107.09043" }
\section{Introduction} \label{Int} The direct detection of gravitational waves (GW)~\cite{Abbott:2016blz,TheLIGOScientific:2017qsa} opened up new avenues for testing the theory of gravity. For instance, a difference between the propagation of gravitational and electromagnetic waves over cosmological distan...
{ "timestamp": "2021-10-29T02:02:23", "yymm": "2107", "arxiv_id": "2107.09143", "language": "en", "url": "https://arxiv.org/abs/2107.09143" }
\section{Introduction} The deployment of small-scale electricity generation and storage assets, such as rooftop solar photovoltaic systems and home batteries, commonly referred to as Distributed Energy Resources (DERs), into distribution networks creates the potential for DER-owning customers to export power into the n...
{ "timestamp": "2021-09-07T02:22:33", "yymm": "2107", "arxiv_id": "2107.09019", "language": "en", "url": "https://arxiv.org/abs/2107.09019" }
\section{Introduction} \label{submission} Face recognition (FR) technology is becoming increasingly common and presents many chances to be abused. Biometric FR systems are now regularly used in smartphones, social media apps, and surveillance systems by millions of people \cite{Owen21}. Recent widespread use of social...
{ "timestamp": "2021-07-21T02:02:46", "yymm": "2107", "arxiv_id": "2107.09126", "language": "en", "url": "https://arxiv.org/abs/2107.09126" }
\section{Introduction} A central goal of condensed matter physics is an understanding of which materials are conducting and which are insulating. From the study of the integer quantum Hall effect (IQHE) arose an understanding that there are classes of materials, which in select energy ranges, have robust bulk and bound...
{ "timestamp": "2021-07-21T02:04:10", "yymm": "2107", "arxiv_id": "2107.09146", "language": "en", "url": "https://arxiv.org/abs/2107.09146" }
\section{Introduction} Uncertainty principles have been investigated for more than hundred years in mathematics and physics inspired by the famous Heisenberg uncertainty principle \cite{Hei,Ken, Weyl} with significant applications in information theory \cite{CRT,Don06}. Recently quantum uncertainty principles on subfa...
{ "timestamp": "2021-07-21T02:00:11", "yymm": "2107", "arxiv_id": "2107.09057", "language": "en", "url": "https://arxiv.org/abs/2107.09057" }
\section{Introduction} \label{sec:intro} Most known transiting exoplanets orbit close to their host stars and are therefore highly irradiated, which makes them likely susceptible to atmospheric escape. Population studies of bulk properties, like planet radius and orbital distance, can illuminate how mass-loss changes c...
{ "timestamp": "2021-07-20T02:38:31", "yymm": "2107", "arxiv_id": "2107.08999", "language": "en", "url": "https://arxiv.org/abs/2107.08999" }
\section{Introduction} \label{section:introduction} Let $S_g$ be a closed connected orientable surface of genus $g > 1$, $\Mod(S_g)$ be its mapping class group, and $\C(S_g)$ be its curve complex. Then $\Mod(S_g)$ isometrically acts on $\C(S_g)$, hence the \emph{asymptotic translation length} $\ell_{\C}(f)$ of $f \in ...
{ "timestamp": "2021-07-20T02:39:12", "yymm": "2107", "arxiv_id": "2107.09018", "language": "en", "url": "https://arxiv.org/abs/2107.09018" }
\section{Introduction} \IEEEPARstart{T}{his} document is a template for Microsoft Word versions 6.0 or later. If you are reading a paper or PDF version of this document, please download the electronic file, trans\_jour.docx, from the IEEE Web site at \url{www.ieee.org/authortools} so you can use it to prepare your man...
{ "timestamp": "2021-08-09T02:03:19", "yymm": "2107", "arxiv_id": "2107.09011", "language": "en", "url": "https://arxiv.org/abs/2107.09011" }
\section{High Dimensional Summary Statistics} \label{ap:high_dim} Optimizing the Cram\'er-Rao bound for summary statistics that have a higher dimensionality as the underlying model parameter $d_s > d_\theta$ is not possible with the technique presented in the main paper because the Jacobian is not square and therefo...
{ "timestamp": "2021-12-15T02:14:09", "yymm": "2107", "arxiv_id": "2107.09002", "language": "en", "url": "https://arxiv.org/abs/2107.09002" }
\section{Introduction}\label{sec1} With a general class of kernel functions $\beta$, the nonlocal equation \begin{equation} u_{tt}=\beta \ast (u+g(u))_{xx}, \label{nw} \end{equation}% defines a class of nonlinear wave equations modeling the bi-directional propagation of dispersive waves in a continuous media. H...
{ "timestamp": "2021-07-21T02:01:55", "yymm": "2107", "arxiv_id": "2107.09108", "language": "en", "url": "https://arxiv.org/abs/2107.09108" }
\section{Introduction} Functional brain networks are dynamically evolving to satisfy our ongoing demands, resulting from either external stimuli or internal processes. However, many studies have reported high spatial similarity and relatively low spatial dissimilarity between dynamic functional brain networks under res...
{ "timestamp": "2021-07-21T02:04:42", "yymm": "2107", "arxiv_id": "2107.09160", "language": "en", "url": "https://arxiv.org/abs/2107.09160" }
\section{Introduction and Conclusions} A remarkable proposal in the Swampland Program of quantum gravity constraints on effective field theories \cite{Vafa:2005ui} (see \cite{Brennan:2017rbf,Palti:2019pca,vanBeest:2021lhn} for reviews) is the Cobordism Conjecture \cite{McNamara:2019rup}, that is based on the expected ...
{ "timestamp": "2021-07-30T02:22:15", "yymm": "2107", "arxiv_id": "2107.09098", "language": "en", "url": "https://arxiv.org/abs/2107.09098" }
\section{Introduction} There is strong evidence for the existence of dark matter (DM) in the Universe (see e.g. Ref.~\cite{Bertone2005} for a review), perhaps most notably thanks to the precise CMB measurements of the Planck satellite \cite{PlanckCollaboration2018}. Yet, the very nature of DM remains subject to specula...
{ "timestamp": "2021-12-17T02:00:54", "yymm": "2107", "arxiv_id": "2107.09070", "language": "en", "url": "https://arxiv.org/abs/2107.09070" }
\section{Introduction} \emph{Rational verification} is the problem of determining which temporal logic properties will hold in a multi-agent system, under the assumption that agents in the system act rationally, by choosing strategies/policies for acting which collectively form a game-theoretic equilibrium~\cite{Gutie...
{ "timestamp": "2021-07-27T02:30:45", "yymm": "2107", "arxiv_id": "2107.09119", "language": "en", "url": "https://arxiv.org/abs/2107.09119" }
\section{Introduction} \label{sec:introduction} Reinforcement learning (RL) is a branch of artificial intelligence that considers learning agents interacting with an environment~\citep{Sutton:2018:RLI:3312046}. RL has enjoyed several notable successes in recent years. These include both successes of special prominence...
{ "timestamp": "2022-02-24T02:23:47", "yymm": "2107", "arxiv_id": "2107.09088", "language": "en", "url": "https://arxiv.org/abs/2107.09088" }
\section{Introduction} \label{Introduction} \vspace{0.2in} \noindent {\large \bf Background} \vspace{0.1in} \noindent The theory of commutative $\rC^*$-algebras, i.\ e.\ algebras of continuous functions from compact Hausdorff topological spaces $X$ to $\C$, is one of the most important topics of functional a...
{ "timestamp": "2021-07-20T02:38:42", "yymm": "2107", "arxiv_id": "2107.09004", "language": "en", "url": "https://arxiv.org/abs/2107.09004" }
\section{Introduction}\label{sec:introduction} With the rise of deep learning methods used in \gls*{mir}, also the desire for explaining the decisions made by such models has increased. A plethora of explanation methods (``explainers'') have been originally developed for text or image data and adapted to the audio do...
{ "timestamp": "2021-09-07T02:35:58", "yymm": "2107", "arxiv_id": "2107.09045", "language": "en", "url": "https://arxiv.org/abs/2107.09045" }
\chapter{MATLAB Codes and Design Files} \lstset{language=Matlab,% breaklines=true,% morekeywords={matlab2tikz}, keywordstyle=\color{blue},% morekeywords=[2]{1}, keywordstyle=[2]{\color{black}}, identifierstyle=\color{black},% stringstyle=\color{mylilas}, commentstyle=\color{mygreen},% ...
{ "timestamp": "2021-07-21T02:03:44", "yymm": "2107", "arxiv_id": "2107.09138", "language": "en", "url": "https://arxiv.org/abs/2107.09138" }
\section{Introduction} Over the past few decades, machine learning, especially deep learning, has made dramatic progress \cite{Jordan2015Machine,lecun2015deep} in a wide range of tasks, such as playing the game of Go \cite{silver2016mastering,Silver2017Mastering}, protein structure prediction \cite{senior2020improved...
{ "timestamp": "2022-01-04T02:05:24", "yymm": "2107", "arxiv_id": "2107.09078", "language": "en", "url": "https://arxiv.org/abs/2107.09078" }
\section{Introduction} \label{sec:INT} Kinematic studies using several gas tracers (e.g. CO, HCN) of the interstellar medium (ISM) in galaxies have shown streaming motions from the bar towards the active nuclei associated with spiral structures. These results are commonly interpreted as gas inflows fueling the active ...
{ "timestamp": "2021-10-08T02:21:14", "yymm": "2107", "arxiv_id": "2107.09063", "language": "en", "url": "https://arxiv.org/abs/2107.09063" }
\section{Introduction} In 2001, Lumley and Yaglom published an article `A Century of Turbulence' \cite{Lumley01}. After they had made it clear that neither author had been involved with turbulence for the entire century, their conclusions were bleak. We may quote from their Abstract, as follows: \begin{quote} \emph{`...
{ "timestamp": "2021-07-21T02:02:08", "yymm": "2107", "arxiv_id": "2107.09112", "language": "en", "url": "https://arxiv.org/abs/2107.09112" }
\section{Introduction} A positive integer $n$ is said to be a {\it Jordan-P\'olya number} if it can be written as a product of factorials. Jordan-P\'olya numbers arise naturally in a simple combinatorial problem. Given $k$ groups of $n_1,n_2,\ldots,n_k$ distinct objects, then the number of distinct permutations ...
{ "timestamp": "2021-07-21T02:02:20", "yymm": "2107", "arxiv_id": "2107.09114", "language": "en", "url": "https://arxiv.org/abs/2107.09114" }
\section{Introduction} According to holography, we expect black holes to be fully described by quantum mechanical degrees of freedom with a discrete spectrum and unitary evolution. However, these quantum mechanical features are not manifest in the gravitational description of a black hole, and understanding how they em...
{ "timestamp": "2021-07-21T02:00:15", "yymm": "2107", "arxiv_id": "2107.09062", "language": "en", "url": "https://arxiv.org/abs/2107.09062" }
\section{Introduction} Reduced activation ferritic/martensitic (RAFM) steels are prime candidate materials for structural components of next-generation nuclear fusion and fission reactors \cite{Baluc2004}. They are favoured over austenitic steels for their resistance to irradiation swelling and helium embrittlement, a...
{ "timestamp": "2021-07-20T02:40:14", "yymm": "2107", "arxiv_id": "2107.09040", "language": "en", "url": "https://arxiv.org/abs/2107.09040" }
\chapter{#2}\label{chp:#1}} \newcommand\Section[2]{\section{#2}\label{sec:#1}} \newcommand\Subsection[2]{\subsection{#2}\label{sec:#1}} \newcommand\Subsubsection[2]{\subsubsection{#2}\label{sec:#1}} \newcommand\cv{\ensuremath{\to}} \newcommand\cvL{\ensuremath{\xrightarrow{\mathcal{L}}}} \newcommand\cvd{\ensuremath{\xri...
{ "timestamp": "2021-09-28T02:33:42", "yymm": "2107", "arxiv_id": "2107.09044", "language": "en", "url": "https://arxiv.org/abs/2107.09044" }
{ "timestamp": "2021-07-20T02:38:51", "yymm": "2107", "arxiv_id": "2107.09007", "language": "en", "url": "https://arxiv.org/abs/2107.09007" }
\section{Introduction} We study low energy solutions of the \emph{parabolic Allen-Cahn equation} \begin{equation} \label{PAC} \epsilon \, \partial_t u = \epsilon \Delta_g u - \frac{1}{\epsilon} W'(u).\tag{PAC} \end{equation} in the $3$-sphere in connection with the \emph{mean curvature flow} (MCF). Here $W$ is a nonneg...
{ "timestamp": "2021-07-27T02:12:14", "yymm": "2107", "arxiv_id": "2107.09140", "language": "en", "url": "https://arxiv.org/abs/2107.09140" }
\section{Introduction} Quantum nonlocality plays a fundamental role in flourishing quantum technologies, such as device \cite{MY98,ABGPS07} and semi-device \cite{PB11} independent quantum cryptography, and genuine random number generation \cite{PAM10}, as well in fundamental aspects of quantum physics. In these applic...
{ "timestamp": "2021-07-21T02:02:34", "yymm": "2107", "arxiv_id": "2107.09120", "language": "en", "url": "https://arxiv.org/abs/2107.09120" }
\section{introduction}\label{sect_intro} Intrinsic alignments refer to shape correlations of galaxies, likely caused by tidal interaction with the cosmic large scale structure \citep[see][for reviews]{joachimi_galaxy_2015, kirk_galaxy_2015,kiessling_galaxy_2015, troxel_intrinsic_2015}. They are considered to be an impo...
{ "timestamp": "2022-03-10T02:23:35", "yymm": "2107", "arxiv_id": "2107.09000", "language": "en", "url": "https://arxiv.org/abs/2107.09000" }
\section{Introduction} Recent advancements in deep learning have led to impressive increases in predictive performance. However, the inability to interpret deep neural networks (DNNs) has led them to be characterized as black boxes. It is often critical that models are inherently interpretable~\cite{rudin2019stop, ru...
{ "timestamp": "2021-08-27T02:22:11", "yymm": "2107", "arxiv_id": "2107.09145", "language": "en", "url": "https://arxiv.org/abs/2107.09145" }
\section{Introduction} The Standard Model (SM) of particle physics has been put on solid grounds by the experiments performed at, e.g., the Large Electron Positron (LEP) or the Large Hadron Collider (LHC)~\cite{ParticleDataGroup:2020ssz}. However, it fails to describe a number of theoretical and experimental issues ...
{ "timestamp": "2021-07-21T02:01:21", "yymm": "2107", "arxiv_id": "2107.09102", "language": "en", "url": "https://arxiv.org/abs/2107.09102" }
\section{Introduction} There has been recent interest from the experimental community in detecting the neutrinos produced by kaon decay at rest (KDAR)~\cite{Spitz:2014hwa,Aguilar-Arevalo:2018ylq}. \textcolor{black}{One application } for these techniques is the search for neutrinos produced when gravitationally-c...
{ "timestamp": "2021-10-28T02:09:02", "yymm": "2107", "arxiv_id": "2107.09109", "language": "en", "url": "https://arxiv.org/abs/2107.09109" }
\section{Introduction} In this paper we provide two new overlapping results. We first characterise the dual space of any given backward shift invariant subspace of the Hardy space $H^1$ intersected with $ z H^1$. We then use our duality result to study the question: when does a bounded truncated Toeplitz operator have...
{ "timestamp": "2021-11-17T02:22:04", "yymm": "2107", "arxiv_id": "2107.09115", "language": "en", "url": "https://arxiv.org/abs/2107.09115" }
\section{Introduction}\lab{intro} Ring microresonators break through the traditional barriers of frequency conversion in terms of the power efficiency, generated bandwidth, and compactness~\cite{al,rev3}. Together with the rise of the microresonator frequency conversion, the Kerr-soliton frequency combs are reaching ...
{ "timestamp": "2021-07-21T02:02:04", "yymm": "2107", "arxiv_id": "2107.09111", "language": "en", "url": "https://arxiv.org/abs/2107.09111" }
\section{Introduction} \label{Sec:intro} The fundamental physical mechanism that powers and defines active galactic nuclei (AGN) is the transfer of energy from the relativistically-deep potential well of a central supermassive black hole (SMBH) in a galaxy \citep[][]{Salpeter64, Zeldovich64, LB69}. The most luminous m...
{ "timestamp": "2021-07-21T02:03:51", "yymm": "2107", "arxiv_id": "2107.09141", "language": "en", "url": "https://arxiv.org/abs/2107.09141" }
\section{Introduction} When humans answer questions, such as in Visual Question Answering (VQA), we first interpret the question, dissecting its content into parts (like concepts, relations, actions, question types), and then we select and execute the \emph{skill} (or plan/program) necessary to produce an answer bas...
{ "timestamp": "2021-07-21T02:01:49", "yymm": "2107", "arxiv_id": "2107.09106", "language": "en", "url": "https://arxiv.org/abs/2107.09106" }
\section{Bernstein polynomials} \label{sec:appA} In this Appendix we discuss the construction of polynomials using Bernstein bases. We first introduce, in~\ref{sec:bernstein}, the Bernstein basis, its main properties, and the construction of univariate polynomials. Afterwards, in~\ref{sec:multi:bernstein}, we discuss i...
{ "timestamp": "2021-07-20T02:39:25", "yymm": "2107", "arxiv_id": "2107.09024", "language": "en", "url": "https://arxiv.org/abs/2107.09024" }
\section{Introduction} {\color{black}Phase-type (PH)} distributions have been employed extensively in applied probability since they often provide exact and explicit solutions to complex stochastic problems. Another attractive property of PH distributions is that they form a dense class in the set of distributions in ...
{ "timestamp": "2021-12-08T02:05:23", "yymm": "2107", "arxiv_id": "2107.09023", "language": "en", "url": "https://arxiv.org/abs/2107.09023" }
\section{Introduction} Distributed systems and microservice-based architectures have evolved significantly over the last decade. They produce numerous telemetry data as well as data coming from containers, servers, and devices. Today, cloud operators which provide services for monitoring these {\it metrics} include Am...
{ "timestamp": "2022-02-04T02:25:29", "yymm": "2107", "arxiv_id": "2107.09110", "language": "en", "url": "https://arxiv.org/abs/2107.09110" }
\section{Introduction} The system BU~CMi is designated in GCVS as an eclipsing variable EA with the period P~=~$2.93^d$ and strongly displaced secondary minimum MinII - MinI = 0.37P, \citet{2017ARep...61...80S}, which means the large eccentricity of the orbit. So, it was included in our program of investigation of the...
{ "timestamp": "2021-07-21T02:02:30", "yymm": "2107", "arxiv_id": "2107.09116", "language": "en", "url": "https://arxiv.org/abs/2107.09116" }