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\section{ Introduction}
The presence of the boundaries brings the new features to the quantum field theory. One of the features is the modification of local quantities such as the heat kernel coefficients
due to the boundary terms that results in the boundary terms in the quantum effective action.
Those terms were stu... | {
"timestamp": "2021-04-09T02:02:25",
"yymm": "2102",
"arxiv_id": "2102.07661",
"language": "en",
"url": "https://arxiv.org/abs/2102.07661"
} |
\section{Introduction} \label{sec:intro}
Consider the following two problems, which on the face of it have nothing to do with each other:
\begin{enumerate}
\item Will the cue ball's trajectory on a billiards table ever end up in a pocket?
\item Given a bipartite graph $G$, and two functions $w$, $w'$ assigning weights ... | {
"timestamp": "2021-02-16T02:40:20",
"yymm": "2102",
"arxiv_id": "2102.07727",
"language": "en",
"url": "https://arxiv.org/abs/2102.07727"
} |
\section*{Acknowlegements}
\section*{Broader Impacts}
As the primary application of study for these experiments lies within the medical space, both positive and negative applications jump to mind. Large, high-resolution datasets both for training and evaluation come at the benefit of those in developed and wealthy ... | {
"timestamp": "2021-02-16T02:38:38",
"yymm": "2102",
"arxiv_id": "2102.07669",
"language": "en",
"url": "https://arxiv.org/abs/2102.07669"
} |
\section{Introduction}
Deep neural networks have been widely adopted in various computer vision tasks, e.g.\ image classification, semantic segmentation, image translation and generation, etc. Due to the high sample-complexity of such models, they require large amounts of training data. However,
collection and annota... | {
"timestamp": "2021-08-19T02:26:40",
"yymm": "2102",
"arxiv_id": "2102.07762",
"language": "en",
"url": "https://arxiv.org/abs/2102.07762"
} |
\subsection{Graph Convolution on Flat Graphs}\label{sub:plaingcn}
Analogous to the one-dimensional Discrete Fourier Transform (Definition \ref{def:dft}), the graph Fourier transform is given by Definition \ref{def:gft}.
Then the spectral graph convolution (Definition \ref{def:graph_conv}) is defined based on one-di... | {
"timestamp": "2021-05-17T02:06:40",
"yymm": "2102",
"arxiv_id": "2102.07736",
"language": "en",
"url": "https://arxiv.org/abs/2102.07736"
} |
\section{Introduction}
\label{sec:intro}
Despite the strong ability of Convolutional Neural Networks (CNNs) in feature representation and image recognition, these cumbersome models often lack explainability, limiting the trust and reliance of the end-users towards the decisions made by them. Explainable AI (XAI) is a ... | {
"timestamp": "2021-02-17T02:01:26",
"yymm": "2102",
"arxiv_id": "2102.07805",
"language": "en",
"url": "https://arxiv.org/abs/2102.07805"
} |
\section{Introduction}
\label{sec:introduction}
The detection of gravitational waves (GWs) from the coalescence of two
compact objects with masses that can be associated to compact stellar
objects has been reported recently by the LIGO-Virgo Scientific
Collaboration~\cite{Abbott2017, Abbott2020, Abbott2020b}. One of th... | {
"timestamp": "2021-09-03T02:00:43",
"yymm": "2102",
"arxiv_id": "2102.07721",
"language": "en",
"url": "https://arxiv.org/abs/2102.07721"
} |
\section{MAJOR HEADINGS}
\documentclass{article}
\usepackage{spconf,amsmath,graphicx}
\usepackage{svg}
\usepackage{amssymb}
\usepackage{multirow}
\usepackage{booktabs}
\usepackage[ruled,vlined]{algorithm2e}
\setlength\heavyrulewidth{0.3ex}
\newcommand{\STAB}[1]{\begin{tabular}{@{}c@{}}#1\end{tabular}}
\Decla... | {
"timestamp": "2021-02-17T02:01:20",
"yymm": "2102",
"arxiv_id": "2102.07799",
"language": "en",
"url": "https://arxiv.org/abs/2102.07799"
} |
\section{Introduction}
\label{sec:introduction}
In online learning, catastrophic forgetting refers to the tendency for artificial neural networks (ANNs) to forget previously learned information when in the presence of new information~\citep[p.~173]{french1991using}. Catastrophic forgetting presents a severe issue for ... | {
"timestamp": "2021-06-10T02:29:40",
"yymm": "2102",
"arxiv_id": "2102.07686",
"language": "en",
"url": "https://arxiv.org/abs/2102.07686"
} |
\section{Introduction}
Recently, Dirac materials have attracted intense research interest following the celebrated discovery of a two-dimensional (2D) hexagonal allotropic atomic carbon, graphene \cite{Novoselov666}, because of its peculiar band structure and its fascinating properties \cite{AlessandroCresti2008,LuisE... | {
"timestamp": "2021-08-10T02:02:46",
"yymm": "2102",
"arxiv_id": "2102.07734",
"language": "en",
"url": "https://arxiv.org/abs/2102.07734"
} |
\section{Introduction}
\noindent
Tensor network states (TNS) have become the tool of choice for many-body quantum systems on the lattice \cite{cirac2009-rev,evenbly2014-rev}. They provide a sparsely parameterized manifold of wavefunctions that is well suited for the approximation of the low energy states of local Hamil... | {
"timestamp": "2021-07-06T02:34:29",
"yymm": "2102",
"arxiv_id": "2102.07741",
"language": "en",
"url": "https://arxiv.org/abs/2102.07741"
} |
\subsection{Main Proof}
\begin{proof}
The regret of C-UCBVI up to episode $K$ is:
\begin{align*}
R_K = \sum_{k=1}^{K}\left(V_1^*(s_{k,1})-V_1^{\pi_k}(s_{k,1})\right).
\end{align*}
Define the value function difference terms at level $h$ in episode $k$ by $\Delta_{k,h}:=V_h^*-V_h^{\pi_k}$ and $\widetilde{\Delta}_{k... | {
"timestamp": "2021-02-16T02:38:23",
"yymm": "2102",
"arxiv_id": "2102.07663",
"language": "en",
"url": "https://arxiv.org/abs/2102.07663"
} |
\section{Introduction}
Let $G$ be a locally compact, second countable, unimodular group that is
nondiscrete and noncompact, endowed with a Haar measure $\lambda$. We think of
$\lambda$ as an inherent parameter of $G$, as all the notions trivally scale
with $\lambda$. Throughout the paper, we will make these assumption... | {
"timestamp": "2022-12-06T02:15:56",
"yymm": "2102",
"arxiv_id": "2102.07710",
"language": "en",
"url": "https://arxiv.org/abs/2102.07710"
} |
\section{Introduction}
\label{sec:intro}
The question of how to quantify the relative importance of variables
has intrigued researchers for years. While it was largely of academic
interest early on, the question has taken on greater urgency in the
last two decades, due to the increasing frequency of large data sets
an... | {
"timestamp": "2021-02-17T02:00:06",
"yymm": "2102",
"arxiv_id": "2102.07765",
"language": "en",
"url": "https://arxiv.org/abs/2102.07765"
} |
\section{Introduction}
It is unavoidable to deal with indeterminate information in practical situations \cite{Deng2020ScienceChina, Seiti2018, MURPHY20001, gao2019uncertaintyIJIS, Wang2018uncertainty}. Lots of researches have been made to seek for truly useful information contained in uncertainty \cite{meng2018fluid, ... | {
"timestamp": "2021-02-16T02:37:47",
"yymm": "2102",
"arxiv_id": "2102.07652",
"language": "en",
"url": "https://arxiv.org/abs/2102.07652"
} |
\section{Introduction}
Measurement incompatibility is a key feature of Quantum theory which distinguishes it from the classical world \cite{Heinosaari_2016}. A pair of observables are incompatible if they are not measurable simultaneously,i.e., their outcomes can not be obtained jointly via a single joint measurement. ... | {
"timestamp": "2021-10-05T02:11:25",
"yymm": "2102",
"arxiv_id": "2102.07732",
"language": "en",
"url": "https://arxiv.org/abs/2102.07732"
} |
\section{Formal Definition of Proximity Measures}
We detail here the difference distance or similarity metrics used in this article.
\begin{itemize}
\item \textbf{Euclidean Distance:} Euclidean distance is one of the most commonly used metrics, measuring the dissimilarity between vectors.
$euclidean(x^p,x^q)=\lVert x... | {
"timestamp": "2021-02-16T02:39:57",
"yymm": "2102",
"arxiv_id": "2102.07713",
"language": "en",
"url": "https://arxiv.org/abs/2102.07713"
} |
\section{Introduction}
The use of energy has been increasing exponentially through the last few years around the world. Specifically, the building sector alone consumes more than 40\% of the global energy produced worldwide \cite{cao2016building,Himeur2020AE}. This consumption is expected to increase by 1.3\% per year... | {
"timestamp": "2021-02-16T02:37:49",
"yymm": "2102",
"arxiv_id": "2102.07654",
"language": "en",
"url": "https://arxiv.org/abs/2102.07654"
} |
\section{Introduction}
Multi Armed Bandits (MAB) algorithms are often used in web services \citep{agarwal2016making, li2010contextual}, sensor networks \citep{tran2012long}, medical trials \citep{badanidiyuru2018bandits,rangi2019unifying}, and crowdsourcing systems \citep{rangi2018multi}. The distributed nat... | {
"timestamp": "2022-05-05T02:04:48",
"yymm": "2102",
"arxiv_id": "2102.07711",
"language": "en",
"url": "https://arxiv.org/abs/2102.07711"
} |
\section{Introduction and Background}
\label{section:Introduction}
Machine-type communication (MTC) is poised to increase sharply over the coming decades~\cite{liu2018sparse,munari2020grant}.
This poses a great challenge to the foundation on which wireless infrastructures are relying,
as MTC often produces sho... | {
"timestamp": "2021-02-16T02:39:45",
"yymm": "2102",
"arxiv_id": "2102.07704",
"language": "en",
"url": "https://arxiv.org/abs/2102.07704"
} |
\section{Conclusion}
\label{sec:conclusion}
We proposed a simple but effective knowledge distillation approach by introducing the novel student-friendly teacher network (SFTN).
Our strategy sheds a light in a new direction to knowledge distillation by focusing on the stage to train teacher networks.
We train teacher n... | {
"timestamp": "2022-01-25T02:22:04",
"yymm": "2102",
"arxiv_id": "2102.07650",
"language": "en",
"url": "https://arxiv.org/abs/2102.07650"
} |
\section{Introduction}
While there are many tools in probability theory for showing that a random variable is concentrated, there are few for proving \emph{anti-concentration} in a general setting. One family of results in this direction is Littlewood--Offord theory \cite{erdos-LwO,halasz,LittlewoodOfford,stanley,rog... | {
"timestamp": "2022-10-10T02:13:08",
"yymm": "2102",
"arxiv_id": "2102.07699",
"language": "en",
"url": "https://arxiv.org/abs/2102.07699"
} |
\section{Introduction}
\label{intro}
The rapidly growing size of deep neural networks (NNs) presents new challenges in their storage, computation, and power consumption for resource-constrained devices \citep{dean2012large,lecun2015deep}. This makes it crucial to compress and efficiently store the NN parameters.
Th... | {
"timestamp": "2021-02-16T02:40:10",
"yymm": "2102",
"arxiv_id": "2102.07725",
"language": "en",
"url": "https://arxiv.org/abs/2102.07725"
} |
\section{Introduction}
In this paper we are concerned with colorings of simple planar digraphs, i.e., orientations of planar graphs.
We consider the following notion of coloring.
\begin{definition}
Let $F$ be a digraph.
\begin{itemize}
\item A digraph is \emph{$F$-free} if it has no induced subdigraph isomorphic to $F... | {
"timestamp": "2022-06-08T02:20:40",
"yymm": "2102",
"arxiv_id": "2102.07705",
"language": "en",
"url": "https://arxiv.org/abs/2102.07705"
} |
\section[Introduction]{Introduction} Let $g\geq3$. It is well-known that a \emph{Prym curve} is a pair $(C,\alpha)$, where $C$ is a smooth genus $g=p_g(C)$ curve and $\alpha$ is a non-zero $2-$torsion point of $\operatorname{Pic}^0(C)$. In the following, we will consider the so called \emph{Prym-canonical map}, that is... | {
"timestamp": "2021-02-16T02:39:36",
"yymm": "2102",
"arxiv_id": "2102.07700",
"language": "en",
"url": "https://arxiv.org/abs/2102.07700"
} |
\section{Introduction} \label{sec:intro}
Consider an $M/M/1$ first-come-first-served queue where customers arrive according to a Poisson process with rate $\lambda$ and the service times for each customer are independently and identically distributed according to an exponential distribution with parameter $\mu$. After... | {
"timestamp": "2022-02-02T02:26:26",
"yymm": "2102",
"arxiv_id": "2102.07644",
"language": "en",
"url": "https://arxiv.org/abs/2102.07644"
} |
\section{Introduction}
\label{sec:intro}
Over the last years, intensive research has been carried out in the field of autonomous driving \cite{Urmson2008,Ziegler2014a,Kunz2015}.
Thereby, motion planning is a crucial requirement and one of the most challenging aspects for automated vehicles.
As early as 2007, impressi... | {
"timestamp": "2021-02-17T02:01:45",
"yymm": "2102",
"arxiv_id": "2102.07812",
"language": "en",
"url": "https://arxiv.org/abs/2102.07812"
} |
\section{Competitive Coevolution}
\label{sec:approach}
Figure~\ref{fig:coevolution} describes the OPAM algorithm for finding optimal priority assignments, which employs multi-objective, two-population competitive coevolution. The algorithm first randomly initializes two populations $\mathbf{A}$ and $\mathbf{P}$ for... | {
"timestamp": "2022-03-22T01:44:59",
"yymm": "2102",
"arxiv_id": "2102.07694",
"language": "en",
"url": "https://arxiv.org/abs/2102.07694"
} |
\section{Introduction}
The COVID-19 pandemic is an ongoing pandemic caused by the novel coronavirus (SARS-CoV-2)\cite{cov19wiki}. The symptoms are highly variable, and the virus, which spreads through the air and contaminated surfaces, is highly contagious. As of January 2021, there has yet to be a small molecule drug ... | {
"timestamp": "2021-02-16T02:37:13",
"yymm": "2102",
"arxiv_id": "2102.07640",
"language": "en",
"url": "https://arxiv.org/abs/2102.07640"
} |
\section*{Acknowledgments}
\begin{sloppypar}
The successful installation, commissioning, and operation of the Pierre
Auger Observatory would not have been possible without the strong
commitment and effort from the technical and administrative staff in
Malarg\"ue. We are very grateful to the following agencies and
orga... | {
"timestamp": "2021-04-28T02:26:19",
"yymm": "2102",
"arxiv_id": "2102.07797",
"language": "en",
"url": "https://arxiv.org/abs/2102.07797"
} |
\section{Introduction}
The axion \cite{Weinberg:1977ma,Wilczek:1977pj} is a hypothetical pseudoscalar particle predicted in the Peccei-Quinn (PQ) mechanism \cite{Peccei:1977hh,Peccei:1977ur}. The PQ mechanism extends the Standard Model (SM) of particle physics to solve the so-called strong-CP problem of Quantum Chromod... | {
"timestamp": "2021-05-28T02:22:48",
"yymm": "2102",
"arxiv_id": "2102.07723",
"language": "en",
"url": "https://arxiv.org/abs/2102.07723"
} |
\section{Introduction}
Topology optimization (TO) seeks the optimum material distribution given an objective function, a design domain, and a set of boundary conditions. Each optimization is an iterative process, often requiring hundreds of iterations. From a computational standpoint, running a 3D TO requires the inve... | {
"timestamp": "2021-02-16T02:37:58",
"yymm": "2102",
"arxiv_id": "2102.07657",
"language": "en",
"url": "https://arxiv.org/abs/2102.07657"
} |
\section{Context-Responsive Labeling Management}
\label{sec:method}
Our approach positions labels in AR space, followed by a context-responsive computation. Here we introduce occlusion removal, perform level-of-detail strategies, and enforce coherent label placement. In this section, we will detail the proposed tech... | {
"timestamp": "2021-02-16T02:40:37",
"yymm": "2102",
"arxiv_id": "2102.07735",
"language": "en",
"url": "https://arxiv.org/abs/2102.07735"
} |
\subsection{Data Collection}
We collected the dataset from an online platform, \textit{Codeforces}~\cite{codeforces}, that organizes programming contests regularly. Each contest consists of a set of problems to which users submit their solutions. The online judge system automatically evaluates each solution for corr... | {
"timestamp": "2021-04-23T02:08:27",
"yymm": "2102",
"arxiv_id": "2102.07660",
"language": "en",
"url": "https://arxiv.org/abs/2102.07660"
} |
\section{Introduction}
\label{sec:intro}
We consider level sets percolation for the Gaussian free field on the cable system of transient weighted graphs. This model often undergoes a phase transition at level zero, which was first proved in \cite{MR3502602} on $\mathbb{Z}^d,$ $d\geq3,$ then on trees in \cite{MR3492939... | {
"timestamp": "2021-02-16T02:41:05",
"yymm": "2102",
"arxiv_id": "2102.07763",
"language": "en",
"url": "https://arxiv.org/abs/2102.07763"
} |
\section{Introduction}
\label{sec1}
While it is often difficult to determine the symmetry property of Cooper pairs (called pairing symmetry in this work)~\cite{Ishida:1998aa,Luke:1998aa,PhysRevLett.110.077003,PhysRevB.90.220502,PhysRevX.7.011032,PhysRevB.96.180507,doi:10.7566/JPSJ.87.093703,Pustogow:2019aa,PhysRevB.100... | {
"timestamp": "2021-08-25T02:26:04",
"yymm": "2102",
"arxiv_id": "2102.07676",
"language": "en",
"url": "https://arxiv.org/abs/2102.07676"
} |
\section{INTRODUCTION}
The three millimeter window has recently been exploited to search for high-redshift dusty star-forming galaxies (DSFGs) through the detection of their dust continuum emission (e.g. \citealt{Zavala2018c,Zavala2021a,Gonzalez-Lopez2019a}). Thanks to the negative $K$-correction at this wavelength, ... | {
"timestamp": "2021-02-17T02:00:13",
"yymm": "2102",
"arxiv_id": "2102.07772",
"language": "en",
"url": "https://arxiv.org/abs/2102.07772"
} |
\section*{Introduction}
Given an abelian variety $A$ defined over a number field $\mathcal K$, its global root number $w(A/\mathcal K)$ is the sign appearing in the conjectural functional equation of its completed $L$-function. Granting the general Birch--Swinnerton-Dyer conjecture, ${w(A/\mathcal K)=-1}$ exactly when... | {
"timestamp": "2021-10-06T02:21:32",
"yymm": "2102",
"arxiv_id": "2102.07745",
"language": "en",
"url": "https://arxiv.org/abs/2102.07745"
} |
\section{Introduction and main result}
\label{sec:1}
We study the time evolution of an incompressible non viscous fluid in the whole space $\bb R^3$, with an axial symmetry without swirl when the vorticity is sharply concentrated on $N$ annuli of radii $r_i\approx r_0$ and thickness $\varepsilon$. In particular, we co... | {
"timestamp": "2022-02-08T02:14:03",
"yymm": "2102",
"arxiv_id": "2102.07807",
"language": "en",
"url": "https://arxiv.org/abs/2102.07807"
} |
\section{Introduction}
For all the successes of modern physics over the last century-and-a-half, it has left us with three apparently incompatible branches - the nonlinear and deterministic General Relativity, the linear but indeterministic Quantum Theory, and the non-linear and deterministic, but uncomputable, Chaos T... | {
"timestamp": "2021-02-17T02:00:58",
"yymm": "2102",
"arxiv_id": "2102.07795",
"language": "en",
"url": "https://arxiv.org/abs/2102.07795"
} |
\section{Introduction}
All graphs considered in the sequel are finite and simple (without loops and multiple edges). A \emph{bisection} of a cubic graph $G$ is a partition of its vertex set into two disjoint subsets $\mathcal{B}$ and $\mathcal{W}$ such that $|\mathcal{B}|=|\mathcal{W}|$. For simplicity, we shall ident... | {
"timestamp": "2022-04-20T02:20:21",
"yymm": "2102",
"arxiv_id": "2102.07667",
"language": "en",
"url": "https://arxiv.org/abs/2102.07667"
} |
\section{Introduction}
In this note we will study stationary measures for certain types of iterated
function schemes. We begin with an important example.
\subsection{Bernoulli convolutions}
The study of the properties of Bernoulli convolutions was greatly advanced by
two influential papers of Paul Erd\"os from 19... | {
"timestamp": "2022-01-19T02:39:35",
"yymm": "2102",
"arxiv_id": "2102.07714",
"language": "en",
"url": "https://arxiv.org/abs/2102.07714"
} |
\section{The simple harmonic oscillator}\label{sec:SHO}
The discussion in this section, which partially follows {Ref.~\cite{Baumann}}, gives a short review of the standard discussion on the simple harmonic oscillator (SHO). Of particular interest is the result obtained in Eq.~\eqref{ModeSolution}, which is referred to ... | {
"timestamp": "2021-09-02T02:14:45",
"yymm": "2102",
"arxiv_id": "2102.07688",
"language": "en",
"url": "https://arxiv.org/abs/2102.07688"
} |
\section{Introduction}
\label{sec:org3daeb50}
Today, supercomputers with 100,000~cores and more are common, and several
machines beyond the 1,000,000~cores mark are already in
production. These compute resources are interconnected through
complex non-uniform memory hierarchies and network infrastructures.
This complexi... | {
"timestamp": "2022-01-10T02:08:46",
"yymm": "2102",
"arxiv_id": "2102.07674",
"language": "en",
"url": "https://arxiv.org/abs/2102.07674"
} |
\section{Introduction}\label{sec:introduction}
Egocentric spatial memory is central to our understanding of spatial reasoning in biology \citep{klatzky1998allocentric, burgess2006spatial}, where an embodied agent constantly carries with it a local map of its surrounding geometry. Such representations have particular... | {
"timestamp": "2021-02-18T02:26:50",
"yymm": "2102",
"arxiv_id": "2102.07764",
"language": "en",
"url": "https://arxiv.org/abs/2102.07764"
} |
\section{Introduction} \label{sec:introduction}
Feedback mechanisms from active galactic nuclei (AGN) are widely considered to play a key role in galaxy formation and evolution (\citeads{1998A&A...331L...1S, 2010MNRAS.402.1516K, 2012ARA&A..50..455F, 2015ARA&A..53..115K}). AGN feedback is indeed included in all theo... | {
"timestamp": "2021-03-03T02:07:04",
"yymm": "2102",
"arxiv_id": "2102.07789",
"language": "en",
"url": "https://arxiv.org/abs/2102.07789"
} |
\section{Introduction}
Much of condensed matter research is currently focused on a search for an experimental realization of a quantum spin liquid (QSL) state. This is a magnetic state, where spins do not order despite strong interactions, but nevertheless their behavior is determined by strong non-local correlations~... | {
"timestamp": "2021-07-28T02:00:38",
"yymm": "2102",
"arxiv_id": "2102.07808",
"language": "en",
"url": "https://arxiv.org/abs/2102.07808"
} |
\section{Introduction}
A pair $(N,M)$ of commuting von Neumann algebras is called \emph{split} if there is a Type I factor $F$ such that $N \subset F \subset M'$~\cite{DoplicherL}.
In applications to physics typically $N$ and $M$ are generated by local observables located in two disjoint (or, in relativistic theories, ... | {
"timestamp": "2021-11-18T02:02:55",
"yymm": "2102",
"arxiv_id": "2102.07707",
"language": "en",
"url": "https://arxiv.org/abs/2102.07707"
} |
\section{Introduction}\label{introduction}
Configuration \cite{felfernighotzbagleytiihonen2014,Stumptner1997} is one of the most successful applications of Artificial Intelligence technologies applied in domains such as telecommunication switches, financial services, furniture, and software components. In many cases, c... | {
"timestamp": "2021-02-16T02:37:27",
"yymm": "2102",
"arxiv_id": "2102.07643",
"language": "en",
"url": "https://arxiv.org/abs/2102.07643"
} |
\section{Introduction}
Exciting materials by light is one of the most fundamental ways to study their physical properties. With light we can prepare distinct excited electronic states and follow their evolution over time. An electromagnetic transition occurs if the superposition between the charge distribution of the... | {
"timestamp": "2021-02-16T02:37:43",
"yymm": "2102",
"arxiv_id": "2102.07649",
"language": "en",
"url": "https://arxiv.org/abs/2102.07649"
} |
\section{Introduction}
The sixth generation (6G) of wireless cellular systems must cater to radically new services, such as immersive remote presence, holographic teleportation, \ac{CRAS}, \ac{XR}, and digital twins. These bandwidth-intensive applications require the delivery of $1000\times$ capacity increase \cite{saa... | {
"timestamp": "2021-09-28T02:07:41",
"yymm": "2102",
"arxiv_id": "2102.07668",
"language": "en",
"url": "https://arxiv.org/abs/2102.07668"
} |
\section{Introduction}
The intrinsic properties of coherent states can enable efficient and practical classical \cite{giovannetti04,li09,ip08,kikuchi08} and quantum \cite{arrazola14,ghorai19,pirandola17,gisin02,gisin07} communications. When utilizing the phase of coherent states combined with their intensity to encode... | {
"timestamp": "2021-02-16T02:38:26",
"yymm": "2102",
"arxiv_id": "2102.07665",
"language": "en",
"url": "https://arxiv.org/abs/2102.07665"
} |
\section{Supplementary Materials for Online hyper-parameter optimization by real-time recurrent learning}
\iffalse
\begin{figure*}[H]
\centering
\begin{minipage}{0.49\textwidth}
\begin{minipage}{0.32\textwidth}
\includegraphics[width=\linewidth]{figs/mlp_dPdLr_wrt_lr_curve_comp_sgd_mlr0.000050.pdf} ... | {
"timestamp": "2021-04-09T02:24:11",
"yymm": "2102",
"arxiv_id": "2102.07813",
"language": "en",
"url": "https://arxiv.org/abs/2102.07813"
} |
\section{Introduction}
\label{Intro}
Complex behavioral systems are ubiquitous in many areas of science, including biology, neuroscience, engineering, as well as in social sciences and operations research in general.
The development of more realistic complex behavioral models offers many challenging questions to scien... | {
"timestamp": "2021-06-01T02:40:58",
"yymm": "2102",
"arxiv_id": "2102.07766",
"language": "en",
"url": "https://arxiv.org/abs/2102.07766"
} |
\section{Introduction}
\label{sec:intro}
\vspace{-1mm}
In recent years, speech synthesis technology has rapidly improved with the introduction of deep neural networks.
In particular, WaveNet~\cite{oord-2016-wavenet}, which has an autoregressive (AR) structure, directly models the distributions of waveform samples and h... | {
"timestamp": "2021-02-17T02:00:25",
"yymm": "2102",
"arxiv_id": "2102.07786",
"language": "en",
"url": "https://arxiv.org/abs/2102.07786"
} |
\section{Introduction}
\label{sec:intro}
Black hole X-ray binaries (BHXRBs) are ideal laboratories for studying in detail the evolution of the accretion flow as a function of the accretion state during an outburst \citep[e.g.][]{Done2007}.
During the soft state, thermal emission with a peak temperature of $\sim$ 1 ke... | {
"timestamp": "2021-08-10T02:03:02",
"yymm": "2102",
"arxiv_id": "2102.07811",
"language": "en",
"url": "https://arxiv.org/abs/2102.07811"
} |
\section{Introduction}
\label{sec:intro}
One of the main objectives of Run 3 of the Large Hadron Collider (LHC) will be the further investigation of the Higgs sector.
Most studies directly targeting the Higgs boson will focus on its onshell production and subsequent decay.
Indeed, one might naively expect that the ... | {
"timestamp": "2021-02-17T02:00:24",
"yymm": "2102",
"arxiv_id": "2102.07783",
"language": "en",
"url": "https://arxiv.org/abs/2102.07783"
} |
\section{Introduction}
\label{sec:Intro}
\subsection{The problem} \label{subsec:equation}
In this paper, we study a linear collisional kinetic equation in a bounded domain with general Maxwell boundary condition. More precisely, we consider a smooth enough bounded domain $\Omega \subseteq \mathbf R^d$, $d \geqslant ... | {
"timestamp": "2021-02-16T02:39:48",
"yymm": "2102",
"arxiv_id": "2102.07709",
"language": "en",
"url": "https://arxiv.org/abs/2102.07709"
} |
\section{Introduction}
It is one of the fundamental properties of quantum mechanics that the evolution of quantum states is described by linear maps which are completely positive and trace preserving (CPTP), stemming from the unitary dynamics enforced on a larger Hilbert space~\cite{nielsen_2011}. However, in several... | {
"timestamp": "2021-08-06T02:22:08",
"yymm": "2102",
"arxiv_id": "2102.07773",
"language": "en",
"url": "https://arxiv.org/abs/2102.07773"
} |
\section{Introduction}
\label{sec:intro}
Deep learning methods, where a computational model learns an intricate representation of a large-scale dataset, yielded dramatic performance improvements in speech recognition and computer vision~\citep{lecun2015deep}. When we have seen such improvements, a common factor is t... | {
"timestamp": "2021-02-16T02:38:19",
"yymm": "2102",
"arxiv_id": "2102.07662",
"language": "en",
"url": "https://arxiv.org/abs/2102.07662"
} |
\section{Introduction}
Magnetic resonance imaging (MRI) is a non-invasive, radiation-free medical imaging modality technique that provides excellent soft tissue contrast for diagnostic purposes. However, lengthy acquisition times in MRI remain a limitation. Accelerated MRI techniques acquire fewer measurements at a sub... | {
"timestamp": "2021-03-29T02:25:22",
"yymm": "2102",
"arxiv_id": "2102.07737",
"language": "en",
"url": "https://arxiv.org/abs/2102.07737"
} |
\subsection*{Table of contents entry}
in functional oxides are promising for applications},
but their fabrication and use, essentially limited to SrTiO$_3$-based heterostructures,
are hampered by the need of growing complex oxide over-layers
thicker than 2~nm using evolved techniques.
This work shows that thermal d... | {
"timestamp": "2021-02-16T02:40:47",
"yymm": "2102",
"arxiv_id": "2102.07748",
"language": "en",
"url": "https://arxiv.org/abs/2102.07748"
} |
\section{Introduction}
Let $Oct$ denote the Octahedron. We only consider simple graphs in this article. Let $G$ and $H$ be two graphs. $H$ is called a minor of $G$ denoted by $H \leq_{m} G$ if it can be generated by deleting or contracting edges from $G$. If $G$ has no minor isomorphic to $H$, $G$ is $H$-free. Assum... | {
"timestamp": "2021-02-16T02:39:47",
"yymm": "2102",
"arxiv_id": "2102.07706",
"language": "en",
"url": "https://arxiv.org/abs/2102.07706"
} |
\section{A. Proof for Theorem $1$}
In addition to the ones in the main text, we first give more notations and definitions to formulate the problem.
\textit{Definition A$1$.} For $\mathcal{H}'\subseteq\mathcal{H}$, we define the \textit{concentration function} as $\alpha(\epsilon)=1-\inf\{\mu(\mathcal{H}'_\epsilon)|\... | {
"timestamp": "2021-02-17T02:00:26",
"yymm": "2102",
"arxiv_id": "2102.07788",
"language": "en",
"url": "https://arxiv.org/abs/2102.07788"
} |
\section{Introduction}
Topological string theory bridges research in mathematics and physics and has been a rich source of insights for both areas. It provides a quantitative handle on physical dualities as well as exact computations, see e.~g.~\cite{Neitzke:2004ni}. Within the context of mirror symmetry, topological ... | {
"timestamp": "2021-04-19T02:18:16",
"yymm": "2102",
"arxiv_id": "2102.07776",
"language": "en",
"url": "https://arxiv.org/abs/2102.07776"
} |
\section{Introduction}
Cantor expansions of real numbers were originally introduced by Cantor in 1869~\cite{Cantor:1869}. A real number $x\in[0,1)$ is represented via a base sequence $(b_n)_{n\in\mathbb N}$ of integers greater than or equal to $2$ as follows:
\begin{equation}
\label{eq:CantorSeries}
x=\sum_{n=0}^{+\in... | {
"timestamp": "2021-02-16T02:40:08",
"yymm": "2102",
"arxiv_id": "2102.07722",
"language": "en",
"url": "https://arxiv.org/abs/2102.07722"
} |
\subsection{Introduction}
{\it Introduction. }
The quantum-classical correspondence has been a fundamental problem
since the foundation of quantum mechanics \cite{qc_correspondence}.
The problem of how to deduce the classical mechanics from the quantum theory
has been discussed in various ways, for instance,
t... | {
"timestamp": "2018-11-09T02:04:17",
"yymm": "1811",
"arxiv_id": "1811.03186",
"language": "en",
"url": "https://arxiv.org/abs/1811.03186"
} |
\section*{Acknowledgments}
\vspace{-0.1in}
\noindent We especially thank E. Bellini and S. Melville for numerous discussions and shared insights. We also acknowledge several useful discussions with T. Brinckmann, C. de Rham, P. Ferreira, A. Refregier, A. Tolley and E. Trincherini.
JN acknowledges support from Dr. Max ... | {
"timestamp": "2018-11-08T02:18:55",
"yymm": "1811",
"arxiv_id": "1811.03082",
"language": "en",
"url": "https://arxiv.org/abs/1811.03082"
} |
\section{Introduction}
In the zero-shot learning task, a classifier is trained with datapoints from seen classes and applied to recognize previously unseen dataponts belonging to unseen classes. The main objective is to leverage knowledge from label embeddings, \emph{e.g.}~attributes, word embedding or class hierarch... | {
"timestamp": "2018-11-09T02:07:28",
"yymm": "1811",
"arxiv_id": "1811.03252",
"language": "en",
"url": "https://arxiv.org/abs/1811.03252"
} |
\section{Introduction and background}
Damage and failure are central to many fields, from civil to aerospace engineering, from nano- to Earth-scales. Yet, they remain difficult to anticipate: Stress enhancement at defects makes the behavior observed at the macroscopic scale extremely dependent on the presence of mater... | {
"timestamp": "2018-11-08T02:18:36",
"yymm": "1811",
"arxiv_id": "1811.03072",
"language": "en",
"url": "https://arxiv.org/abs/1811.03072"
} |
\section{Introduction}
\label{sect_intro}
The ionised gas in the solar atmosphere could be highly structured by the magnetic field,
forming a variety of loop features therein.
These loop features, namely magnetic loops, are one of the fundamental building block of the solar atmosphere.
These loops are normally brighter... | {
"timestamp": "2018-11-09T02:05:50",
"yymm": "1811",
"arxiv_id": "1811.03219",
"language": "en",
"url": "https://arxiv.org/abs/1811.03219"
} |
\section{Introduction}
Generative models such as Generative Adversarial Networks (GANs) \citep{goodfellow2014generative, li2015generative, arjovsky2017wasserstein, dziugaite2015training} have recently stood out as an important unsupervised method for learning and efficient sampling from a complex, multi-modal target d... | {
"timestamp": "2019-06-05T02:25:49",
"yymm": "1811",
"arxiv_id": "1811.03179",
"language": "en",
"url": "https://arxiv.org/abs/1811.03179"
} |
\section{Introduction}\label{Sec:Introduction}
Argumentation is a form of reasoning that makes explicit the reasons for the
conclusions that are drawn, and how conflicts between reasons are resolved. Recent years
have witnessed intensive study of both logic-based and human orientated models of argumentation and the... | {
"timestamp": "2018-11-09T02:12:17",
"yymm": "1811",
"arxiv_id": "1811.03355",
"language": "en",
"url": "https://arxiv.org/abs/1811.03355"
} |
\section{Introduction}
In this paper we study submodular maximization under matroid constraints in the adaptive complexity model. The adaptive complexity model was recently introduced in the context of submodular optimization in~\cite{BS18a} to quantify the information theoretic complexity of black-box optimization in... | {
"timestamp": "2018-11-09T02:00:12",
"yymm": "1811",
"arxiv_id": "1811.03093",
"language": "en",
"url": "https://arxiv.org/abs/1811.03093"
} |
\section{Introduction}
\label{sec:intro}
\begin{figure*}[!ht]
\centering
\begin{tabular}{ccc}
\includegraphics[width = 0.27\linewidth]{img/ill1} &
\includegraphics[width = 0.27\linewidth]{img/ill2} &
\includegraphics[width = 0.27\linewidth]{img/ill3} \\
{\small (a)} & {\small (b)}... | {
"timestamp": "2019-09-04T02:39:54",
"yymm": "1811",
"arxiv_id": "1811.03264",
"language": "en",
"url": "https://arxiv.org/abs/1811.03264"
} |
\section{Introduction}
\label{sec:introduction}
The Drell-Yan (D-Y) process~\cite{drell} is one of the important
experimental approaches to explore the partonic structure of
hadrons~\cite{peng14}. It is a unique tool for accessing the
structures of unstable hadrons such as pions and
kaons~\cite{falciano86,conway,dutta... | {
"timestamp": "2019-01-28T02:06:17",
"yymm": "1811",
"arxiv_id": "1811.03256",
"language": "en",
"url": "https://arxiv.org/abs/1811.03256"
} |
\section{Introduction}
Many studies have been done on the black hole physics. The black attribute in the black hole is because it captures all the light that passes through its event horizon, from which the black hole behaves like a black body in thermodynamics \cite{01}, hence they have
blackbody radiation, which yiel... | {
"timestamp": "2018-11-09T02:02:47",
"yymm": "1811",
"arxiv_id": "1811.03152",
"language": "en",
"url": "https://arxiv.org/abs/1811.03152"
} |
\section{Introduction}
A big problem with supervised machine learning is the need for huge amounts of labeled data. At least it's a big problem if you don't have the labeled data and even now, in a world awash with big data, most of us don't. While a few companies have access to enormous quantities of certain kinds of... | {
"timestamp": "2018-11-09T02:02:45",
"yymm": "1811",
"arxiv_id": "1811.03151",
"language": "en",
"url": "https://arxiv.org/abs/1811.03151"
} |
\section{Introduction}
\vspace{-2mm}
As methodology researchers, we often find it challenging to explain intuitively where and how our research advancements in speaker recognition can be used. To demonstrate speaker recognition technology in an appealing way to the public, many challenges need to be resolved. Besides ... | {
"timestamp": "2019-02-12T02:22:24",
"yymm": "1811",
"arxiv_id": "1811.03293",
"language": "en",
"url": "https://arxiv.org/abs/1811.03293"
} |
\section{INTRODUCTION\label{intro}}
Gamma-ray bursts (GRBs) with unusually low gamma-ray luminosities are classified as low-luminosity GRBs (llGRBs) and are thought to comprise a distinct population from their cosmological counterparts.
Although only a handful of nearby events have been known, their volumetric rate ap... | {
"timestamp": "2018-11-09T02:06:53",
"yymm": "1811",
"arxiv_id": "1811.03240",
"language": "en",
"url": "https://arxiv.org/abs/1811.03240"
} |
\section{Introduction}
The elastic distortion energy, $f$, of a uniaxial nematic in terms of the nematic director, $\mathbf{n}(\mathbf{r})$, field was developed by Oseen, Zocher, and Frank (OZF) \cite{oseen,zocher,frank}. Frank critically reformulated the elastic theory as theory of curvature elasticity that deals w... | {
"timestamp": "2018-11-09T02:09:42",
"yymm": "1811",
"arxiv_id": "1811.03300",
"language": "en",
"url": "https://arxiv.org/abs/1811.03300"
} |
\section*{Acknowledgment}
This research was funded by TCS Research Scholarship Program and Young Faculty Research Fellowship (Visvesvaraya Ph.D. scheme) from MeitY, Govt. of India.
\section{The ACP Control Algorithm}
\label{sec:algorithm}
\begin{figure}[!t]
\begin{center}
\includegraphics[width=0.45\... | {
"timestamp": "2019-05-07T02:10:35",
"yymm": "1811",
"arxiv_id": "1811.03353",
"language": "en",
"url": "https://arxiv.org/abs/1811.03353"
} |
\section{Introduction}
\renewcommand{\theequation}{1.\arabic{equation}}\setcounter{equation}{0}
The cosmic inflation has achieved remarkable successes not only in solving several fundamental and conceptual problems (such as the flatness, horizon problem, and exotic relics) of the standard big bang cosmology, but more... | {
"timestamp": "2019-09-18T02:09:30",
"yymm": "1811",
"arxiv_id": "1811.03216",
"language": "en",
"url": "https://arxiv.org/abs/1811.03216"
} |
\section{Introduction\label{sec:introduction}}
The multi--wavelength emission of galaxies from $\gamma$--rays to the radio domain is the outcome of the complex physical interplay between their main baryonic components: stars of all ages and their remnants; molecular, atomic, and ionised gas; dust; and supermassive bla... | {
"timestamp": "2018-11-09T02:00:13",
"yymm": "1811",
"arxiv_id": "1811.03094",
"language": "en",
"url": "https://arxiv.org/abs/1811.03094"
} |
\section{Introduction}
The famous Gallai's theorem states that
\begin{equation*}
\alpha(G)+\beta (G)=n,
\end{equation*}
where $G$ is a graph on $n$ vertices, and $\alpha(G)$ and $\beta(G)$
represent the vertex cover number and the independence number, respectively, of $G$. Its
beauty lies not only in the numbers, but ... | {
"timestamp": "2018-11-09T02:02:49",
"yymm": "1811",
"arxiv_id": "1811.03156",
"language": "en",
"url": "https://arxiv.org/abs/1811.03156"
} |
\section{Introduction}
In the constituent quark model, mesons consist of a pair of quark and antiquark ($q\bar q$)~\cite{2007-Klempt-p1-202, PhysRevD.98.030001}. They can be
characterized by the isospin $I$, the total angular momentum $J$, the parity $P$, and the charge-conjugation parity $C$ (for charge neutral states... | {
"timestamp": "2018-11-13T02:20:13",
"yymm": "1811",
"arxiv_id": "1811.03333",
"language": "en",
"url": "https://arxiv.org/abs/1811.03333"
} |
\section{Introduction}
\subsection{Problem setting and main results}
The aim of the present paper is to make a new link between a number of recent papers on Dirac operators in bounded Euclidean domains with the theory of Dirac operators on manifolds, which is a classical topic in Riemannian geometry. Namely, let ... | {
"timestamp": "2018-11-09T02:11:29",
"yymm": "1811",
"arxiv_id": "1811.03340",
"language": "en",
"url": "https://arxiv.org/abs/1811.03340"
} |
\section{Introduction}
It is generally believed that the white holes, T-symmetrical analogs of the black holes, become unstable when they start interacting with external matter, see the papers by Eardley~\cite{Eardley}, Ori and Poisson~\cite{OriPoisson}, Barceló et al.~\cite{151100633}. The simplest way to this conclu... | {
"timestamp": "2018-11-09T02:12:53",
"yymm": "1811",
"arxiv_id": "1811.03368",
"language": "en",
"url": "https://arxiv.org/abs/1811.03368"
} |
\section{Introduction}\label{SecIntro}
In the young universe, massive metal-free Population III stars (Schwarzschild
\& Spitzer 1953; Larson 1998) may have spawned `intermediate mass black holes'
(IMBHs) with masses greater than $10^2\, M_{\odot}$ (e.g.\ Bond et al.\ 1984;
Carr et al.\ 1984; Madau \& Rees 2001; Schne... | {
"timestamp": "2019-04-16T02:01:45",
"yymm": "1811",
"arxiv_id": "1811.03232",
"language": "en",
"url": "https://arxiv.org/abs/1811.03232"
} |
\section{Introduction}
The abundance and spatial distribution of voids depends on the nature of the initial conditions, the expansion history of the universe, and the nature of gravity \citep{svdw04,ms09}. As is true for halos, predictive models of this dependence have three parts. The first is a description of the ... | {
"timestamp": "2018-11-09T02:01:26",
"yymm": "1811",
"arxiv_id": "1811.03132",
"language": "en",
"url": "https://arxiv.org/abs/1811.03132"
} |
\section{Introduction} Given a function $f$ on a classical phase space $X$, let us first quantize it and then dequantize.
This operation on functions, $f \mapsto {\mathcal{B}} f$, is called {\it the Berezin transform}. As a result of this operation, the function $f$ blurs on the phase space. The intuition behind this i... | {
"timestamp": "2019-02-07T02:01:42",
"yymm": "1811",
"arxiv_id": "1811.03155",
"language": "en",
"url": "https://arxiv.org/abs/1811.03155"
} |
\section{Introduction}
\subsection{Euler's Equation for Rigid Body Dynamics}
The configuration space for the rotational dynamics of a rigid body in $\mathbb{R}^{3}$ about its center of mass is the set of all three-dimensional rotations
\begin{equation*}
\mathsf{SO}(3) \mathrel{\mathop:}= \setdef{ Q \in \mathsf{M}_{3}... | {
"timestamp": "2019-09-16T02:01:16",
"yymm": "1811",
"arxiv_id": "1811.03184",
"language": "en",
"url": "https://arxiv.org/abs/1811.03184"
} |
\section{Wick rotation in gravity}
In Quantum Field Theory (QFT) it is customary
to define functional integrals in imaginary (Euclidean) time,
in order to replace oscillatory integrals
by exponentially damped ones, thereby improving
their convergence.
The rotation of the integration contour over energy or time
is call... | {
"timestamp": "2018-11-09T02:12:54",
"yymm": "1811",
"arxiv_id": "1811.03369",
"language": "en",
"url": "https://arxiv.org/abs/1811.03369"
} |
\section{Introduction} \label{sec:intro}
The advent of new instrumentation for the investigation of solar phenomena---in particular, with regard to the short- and long-term variability of the Sun's magnetic activity, and its impact on the near-Earth environment---has put unprecedented demands on the conception of data... | {
"timestamp": "2018-11-09T02:05:34",
"yymm": "1811",
"arxiv_id": "1811.03211",
"language": "en",
"url": "https://arxiv.org/abs/1811.03211"
} |
\section{Introduction}
State-of-the-art photo realistic image synthesis is based on (quasi-) Monte Carlo simulation of light propagation: Rays
are traced to connect the camera with the light sources. Then, the contribution of all these light
paths is summed up. %
Often, fibers for hair and fur are part of the scenery... | {
"timestamp": "2018-11-09T02:13:15",
"yymm": "1811",
"arxiv_id": "1811.03374",
"language": "en",
"url": "https://arxiv.org/abs/1811.03374"
} |
\section{Introduction}
We denote by $L^2(\mu_m)$ the space of square integrable functions in ${\mathbb C}$ with respect to the measure $d\mu_m(z):= \frac{1}{\pi}e^{-m|z|^2}\, dA(z)$, where $m>0$ and $A$ denotes the Lebesgue area measure in ${\mathbb C}$.
The classical Fock space $\mathcal{F}_{m}$ is given by
$$
\mathca... | {
"timestamp": "2018-11-09T02:01:57",
"yymm": "1811",
"arxiv_id": "1811.03137",
"language": "en",
"url": "https://arxiv.org/abs/1811.03137"
} |
\section{Introduction}\label{section1}
The $q$-Painlev\'e equations \cite{KNY, RGH} are $q$-difference analogs of the Painlev\'e equations, which were introduced as new special functions beyond elliptic functions and the hypergeometric functions more than one hundred years ago \cite{Gambier, P,P+}, and are now consider... | {
"timestamp": "2019-09-24T02:20:13",
"yymm": "1811",
"arxiv_id": "1811.03285",
"language": "en",
"url": "https://arxiv.org/abs/1811.03285"
} |
\section{Introduction}
A promising line of recent literature has examined the nonconvex objective functions that arise when certain matrix optimization problems are solved in factored form, that is, when a low-rank optimization variable $\mtx{X}$ is replaced by a product of two thin matrices $\mtx{U} \mtx{V}^\mathrm{T... | {
"timestamp": "2018-12-27T02:26:37",
"yymm": "1811",
"arxiv_id": "1811.03129",
"language": "en",
"url": "https://arxiv.org/abs/1811.03129"
} |
\section{Introduction} \label{s-intro}
This is the second of two papers using the beta function methodology to produce accurate
analytic solutions from model dark energy potentials in a quintessence cosmology. The
first paper \citep{thm18}, hereinafter paper I, examined solutions for power and inverse power law
po... | {
"timestamp": "2018-11-09T02:03:06",
"yymm": "1811",
"arxiv_id": "1811.03164",
"language": "en",
"url": "https://arxiv.org/abs/1811.03164"
} |
\section{Our Adaptive Algorithm}
In this section we give an adaptive algorithm for both weighted and unweighted graphs that in $1/\epsilon$ rounds finds a $1-\epsilon$ approximation.
The algorithm --- formalized as Algorithm~\ref{alg:adaptive} --- in each round of adaptivity takes $R^\star$ independent random realiza... | {
"timestamp": "2018-11-09T02:06:06",
"yymm": "1811",
"arxiv_id": "1811.03224",
"language": "en",
"url": "https://arxiv.org/abs/1811.03224"
} |
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