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\section{Introduction}
Given their central role in many number theoretic applications, it is no surprise that Weyl sums and their properties have been subject to thorough investigation over the years. For a collection ${\boldsymbol \varphi}} \def\bPhi{{\boldsymbol \Phi}$ of linearly independent polynomials ${\varphi}_... | {
"timestamp": "2020-12-17T02:15:51",
"yymm": "2012",
"arxiv_id": "2012.08877",
"language": "en",
"url": "https://arxiv.org/abs/2012.08877"
} |
\section{INTRODUCTION}
\label{sec:intro}
Many observations and theoretical studies over the years, and more so in the last decade, attribute major roles to jets in shaping planetary nebulae (PNe; e.g.,
\citealt{Morris1987, Soker1990AJ, SahaiTrauger1998, Boffinetal2012, Miszalskietal2013, Tocknelletal2014, Huangetal2... | {
"timestamp": "2021-04-14T02:18:42",
"yymm": "2012",
"arxiv_id": "2012.08917",
"language": "en",
"url": "https://arxiv.org/abs/2012.08917"
} |
\section*{Availability}
\section*{Acknowledgment}
The research is based upon work supported by the Department of Defense (DOD), Naval Information Warfare Systems Command (NAVWAR), via the Department of Energy (DOE) under contract DE-AC05-00OR22725. The views and conclusions contained herein are those of the authors... | {
"timestamp": "2020-12-17T02:20:46",
"yymm": "2012",
"arxiv_id": "2012.09013",
"language": "en",
"url": "https://arxiv.org/abs/2012.09013"
} |
\section{Introduction}
\subsection{Problem Description, Objectives and Context}\label{sec.intro}
We consider the problem of computing the minimum of a set of numbers over a network, and we propose a distributed, iterative solution achieving \emph{global} and \emph{uniform}, albeit \emph{approximate}, asymptotic stabil... | {
"timestamp": "2021-06-28T02:14:18",
"yymm": "2012",
"arxiv_id": "2012.08940",
"language": "en",
"url": "https://arxiv.org/abs/2012.08940"
} |
\section*{Abstract}
We develop a novel Monte Carlo strategy for the simulation of the Boltzmann-BGK model with both low-collisional and high-collisional regimes present. The presented solution to maintain accuracy in low-collisional regimes and remove exploding simulation costs in high-collisional regimes uses hybrid... | {
"timestamp": "2020-12-17T02:19:48",
"yymm": "2012",
"arxiv_id": "2012.08985",
"language": "en",
"url": "https://arxiv.org/abs/2012.08985"
} |
\section{Introduction}
\subsection{Generalized Sampling in Shift-Invariant Spaces}
Since the formulation of Nyquist-Shannon's celebrated sampling theorem \cite{Shannon1949}, the reconstruction of a function from discrete measurements has been extended in many ways \cite{Jerri1977,Unser2000}. In particular, Papoulis ... | {
"timestamp": "2021-06-18T02:26:01",
"yymm": "2012",
"arxiv_id": "2012.08954",
"language": "en",
"url": "https://arxiv.org/abs/2012.08954"
} |
\section{Introduction}
Discovering novel user intents is important to improve the service quality in dialogue systems. By analyzing the discovered new intents, we may find underlying user interests, which could provide business opportunities and guide the improvement direction~\cite{lin-xu-2019-deep}.
Intent dis... | {
"timestamp": "2021-03-23T01:26:00",
"yymm": "2012",
"arxiv_id": "2012.08987",
"language": "en",
"url": "https://arxiv.org/abs/2012.08987"
} |
\section{Introduction}
\label{sec:introduction}
Graph Matching (GM) aims to find node correspondence between two or multiple graphs. As a standing and fundamental problem, GM spans wide applications in different areas including computer vision and pattern recognition. In its general form, GM can be formulated as a com... | {
"timestamp": "2021-08-18T02:14:25",
"yymm": "2012",
"arxiv_id": "2012.08950",
"language": "en",
"url": "https://arxiv.org/abs/2012.08950"
} |
\section{Introduction}
\label{sec:intro}
The scattering of cosmological dark matter (DM) particles with stars has long been used as a tool in the quest to uncover the particle nature of DM. For a wide range of DM masses, collisions between ambient DM and the constituents of a star would result in sufficient energy lo... | {
"timestamp": "2021-09-14T02:08:43",
"yymm": "2012",
"arxiv_id": "2012.08918",
"language": "en",
"url": "https://arxiv.org/abs/2012.08918"
} |
\section{Introduction}
\subsection{Description of the Results}
In this work, we cover two main topics:
\begin{itemize}
\item[(1)] Stable (dg) operads, which are a new class of operads, and which are, in a particular sense, stable analogues of $\mathbb{E}_\infty$ operads.
\item[(2)] Algebraic models of $p$-adic ... | {
"timestamp": "2021-03-25T01:01:41",
"yymm": "2012",
"arxiv_id": "2012.08941",
"language": "en",
"url": "https://arxiv.org/abs/2012.08941"
} |
\section{INTRODUCTION}
\label{sec:intro}
The gamma-ray sky is investigated through satellite and ground-based detectors. While satellite detectors are mainly limited by their small collection area (ex.: FERMI-LAT \cite{fermilat} with 4x4 towers of area 40 $cm^2$ each), Imaging Atmospheric Cherenkov Telescopes (IACTs)... | {
"timestamp": "2020-12-17T02:20:02",
"yymm": "2012",
"arxiv_id": "2012.08995",
"language": "en",
"url": "https://arxiv.org/abs/2012.08995"
} |
\section{Introduction}
Unitarity of scattering amplitudes has long been used to constrain the masses and couplings of thermal relic dark matter (DM) particles \cite{Griest:1989wd,Hedri:2014mua,vonHarling:2014kha,Cahill-Rowley:2015aea,Kahlhoefer:2015bea,Baldes:2017gzw,ElHedri:2017nny,ElHedri:2018atj,Harz:2018csl,Hektor... | {
"timestamp": "2021-07-01T02:17:55",
"yymm": "2012",
"arxiv_id": "2012.09022",
"language": "en",
"url": "https://arxiv.org/abs/2012.09022"
} |
\section{Introduction}
Optimization problems under uncertain constraints are pervasive in engineering applications. In the paradigm of {\it chance-constrained programs} (CCPs), uncertain parameters are treated as random variables and the uncertain constraints are required to be satisfied with a high probability. Howev... | {
"timestamp": "2020-12-17T02:14:59",
"yymm": "2012",
"arxiv_id": "2012.08850",
"language": "en",
"url": "https://arxiv.org/abs/2012.08850"
} |
\section{Introduction}
The primary application areas for copyspace detection includes generation of email banners, hero-pages, and call-to-actions, most often performed manually, with notable advances in generation \cite{vempati2019enabling,luban_2018,Hua_2018}. The process of graphic asset development is time-consumin... | {
"timestamp": "2020-12-17T02:18:21",
"yymm": "2012",
"arxiv_id": "2012.08933",
"language": "en",
"url": "https://arxiv.org/abs/2012.08933"
} |
\section{Introduction}
Efficient collective action to curb the spread of epidemics in general, and of the current Covid-19 pandemic in particular,
requires input from a variety of disciplinary fields, from microscale fluid dynamics (to
understand the propagation of virus or bacteria-laden droplets \cite{mittal2020flo... | {
"timestamp": "2021-11-04T01:14:15",
"yymm": "2012",
"arxiv_id": "2012.08957",
"language": "en",
"url": "https://arxiv.org/abs/2012.08957"
} |
\section{Introduction}
\hspace*{1em} Image segmentation is an important task in image processing, which assigns similar feature region into a same cluster. In computer vision, labeled dataset established by organization for image segmentation such as PASCAL VOC 2012\cite{pascal-voc-2012},BSD\cite{martin2001database}, ... | {
"timestamp": "2020-12-17T02:17:36",
"yymm": "2012",
"arxiv_id": "2012.08922",
"language": "en",
"url": "https://arxiv.org/abs/2012.08922"
} |
\section{Introduction}
Over the last few years the devolvement of high-precision temperature sensing techniques has attracted considerable interest due to the broad and important applications ranging from medicine and biology \cite{Kinkert2009} to quantum information processing and quantum thermodynamics \cite{Mehboud... | {
"timestamp": "2020-12-17T02:17:18",
"yymm": "2012",
"arxiv_id": "2012.08915",
"language": "en",
"url": "https://arxiv.org/abs/2012.08915"
} |
\section{}
NASA's TESS mission \citep{tess} has produced high precision photometry of millions of stars to the community. The majority of TESS observations have a duration of $\approx$27 days, corresponding to a single observation during a TESS sector. A small subset of TESS targets are observed for multiple sectors, w... | {
"timestamp": "2020-12-17T02:19:15",
"yymm": "2012",
"arxiv_id": "2012.08972",
"language": "en",
"url": "https://arxiv.org/abs/2012.08972"
} |
\section{Introduction}
In \cite{FeffermanPhongConf82, Fefferman83} Fefferman and Phong established the inequality, for $p > 1$ :
\begin{equation}\label{eq:feff_phong_ineq}
\int_{\mathbf{R}^n} V(x) \psi(x)^2 \mathop{}\mathrm{d} x \leq C_{n,p} N_p(V) \int_{\mathbf{R}^n} |\nabla \psi(x)|^2 \mathop{}\mathrm{d} x,
\end{e... | {
"timestamp": "2020-12-17T02:14:52",
"yymm": "2012",
"arxiv_id": "2012.08841",
"language": "en",
"url": "https://arxiv.org/abs/2012.08841"
} |
\section{Introduction}
The recent COVID$-19$ pandemic broke down geographical boundaries and led to an \textit{infodemic} of fake news and conspiracy theories \cite{zhou2020recovery}. Evidence based fact verification (English only) has been studied as a weapon against fake news and disinformation \cite{thorne2018fact... | {
"timestamp": "2021-01-21T02:05:32",
"yymm": "2012",
"arxiv_id": "2012.08919",
"language": "en",
"url": "https://arxiv.org/abs/2012.08919"
} |
\section{Introduction}
In many applications, the relevant processes are accurately described by a partial differential equation (PDE) of reaction-advection-diffusion type coupled to a Boltzmann-type kinetic equation that models a distribution of particles in position-velocity space. Examples of such applications incl... | {
"timestamp": "2020-12-17T02:19:26",
"yymm": "2012",
"arxiv_id": "2012.08981",
"language": "en",
"url": "https://arxiv.org/abs/2012.08981"
} |
{
"timestamp": "2020-12-17T02:15:54",
"yymm": "2012",
"arxiv_id": "2012.08881",
"language": "en",
"url": "https://arxiv.org/abs/2012.08881"
} | |
\section{Introduction}
Two-dimensional transition metal dichalcogenites (2D-TMDs) have recently attracted enormous scientific attention for their distinctive optical properties. Like graphene, TMDs materials consist of layers held together only by van der Waals forces. 2D TMDs (\textit{e.g.} MoS$_2$, WS$_2$, MoSe$_2$,... | {
"timestamp": "2021-11-11T02:09:46",
"yymm": "2012",
"arxiv_id": "2012.08900",
"language": "en",
"url": "https://arxiv.org/abs/2012.08900"
} |
\section{ISSUES TO BE ADDRESSED}
\begin{enumerate}
\item The development of elementary particle theory in the period from roughly 1955 to 1980 elucidates the manner in which theoretical physicists chose to follow a given line of research.
\item Elementary particle theory and quantum field theory in this period prov... | {
"timestamp": "2020-12-17T02:16:18",
"yymm": "2012",
"arxiv_id": "2012.08887",
"language": "en",
"url": "https://arxiv.org/abs/2012.08887"
} |
\section{Introduction}
\label{sec:introduction}
Initiatives by companies such as SpaceX, Amazon, and Telesat are building large, low earth orbit (LEO) satellite networks that provide global Internet access without the need for terrestrial fiber.
The Starlink constellation is already partly deployed in a test phase~\ci... | {
"timestamp": "2021-03-05T02:42:24",
"yymm": "2012",
"arxiv_id": "2012.08979",
"language": "en",
"url": "https://arxiv.org/abs/2012.08979"
} |
\section*{Introduction}
Entity linking (Entity Normalization) is the task of mapping entity mentions in text documents to standard entities in a given knowledge base. For example, the word ``Paris'' is \emph{ambiguous}: It can refer either to the capital of France or to a hero of Greek mythology. Now given the text ``P... | {
"timestamp": "2021-05-25T02:02:20",
"yymm": "2012",
"arxiv_id": "2012.08844",
"language": "en",
"url": "https://arxiv.org/abs/2012.08844"
} |
\section{Introduction}\label{sect:introduction}
Neural ordinary differential equations (Neural ODEs) \cite{neuralODEs}, which are analogous to a continuous-depth version of deep residual networks \cite{he2016deep}, exhibit considerable computational
efficiency
on time-series modeling tasks. Although Neural ODEs do no... | {
"timestamp": "2020-12-17T02:15:24",
"yymm": "2012",
"arxiv_id": "2012.08863",
"language": "en",
"url": "https://arxiv.org/abs/2012.08863"
} |
\section{Introduction}
\label{intro}
Many investigations have been conducted in the past half century to understand materials that, upon cooling, do not simply transition from an amorphous fluid state to an ordered solid state. These materials instead go through a glass transition wherein they maintain a disordered ar... | {
"timestamp": "2021-03-02T02:32:04",
"yymm": "2012",
"arxiv_id": "2012.09025",
"language": "en",
"url": "https://arxiv.org/abs/2012.09025"
} |
\section{Introduction}
Unmanned aerial vehicles (UAVs) are expected to be widely deployed in future networks to enable various new image acquisition applications such as live broadcast, virtual reality, and so on, by leveraging their advantages of low cost, high mobility, as well as flexible deployment \cite{Zeng1}. To... | {
"timestamp": "2020-12-17T02:15:25",
"yymm": "2012",
"arxiv_id": "2012.08865",
"language": "en",
"url": "https://arxiv.org/abs/2012.08865"
} |
\section{Introduction}\label{sec:intro}
Induction is a fundamental proof method in dependently typed interactive theorem
proving, and so in proof assistants such as Coq and Lean, the induction tactic
is usually among the first tactics a novice encounters. Yet despite this
elevated position, current induction tactics ... | {
"timestamp": "2020-12-17T02:19:57",
"yymm": "2012",
"arxiv_id": "2012.08990",
"language": "en",
"url": "https://arxiv.org/abs/2012.08990"
} |
\section{Introduction}
We investigate an unsuspected connection between non-harmonious
logical connectives, such as Prior's {\it tonk}, and quantum
computing. We argue that non-harmonious connectives model
the information erasure, the non-reversibility, and the
non-determinism that occur, among other places, in ... | {
"timestamp": "2021-07-28T02:19:30",
"yymm": "2012",
"arxiv_id": "2012.08994",
"language": "en",
"url": "https://arxiv.org/abs/2012.08994"
} |
\section{Introduction}
The observation of the phenomenon of dark matter on various length scales in our Universe remains one of the major puzzles of modern physics (see \emph{e.g.}~Ref.~\cite{Bertone:2004pz} for a review). The hypothesis of a new particle -- and possibly an entire new sector of particles beyond the st... | {
"timestamp": "2020-12-17T02:20:59",
"yymm": "2012",
"arxiv_id": "2012.09016",
"language": "en",
"url": "https://arxiv.org/abs/2012.09016"
} |
\section{Introduction}
Magnetic fields play a significant role in various solar activities. To obtain more accurate magnetic field values, infrared Stokes polarimetry has been attempted in recent decades, given the high magnetic sensitivity of lines in the infrared solar spectrum \citep{2014Matthew}. The Cryogenic Inf... | {
"timestamp": "2020-12-17T02:17:10",
"yymm": "2012",
"arxiv_id": "2012.08912",
"language": "en",
"url": "https://arxiv.org/abs/2012.08912"
} |
\section{Introduction}
\label{sec:intro}
Research in autonomous driving continues to advance in terms of improving the perception capabilities of self-driving cars for greater safety. This includes detecting both static and dynamic obstacles such as pedestrians~\cite{dollar2011pedestrian}, tracking and predicting the... | {
"timestamp": "2021-03-26T01:16:17",
"yymm": "2012",
"arxiv_id": "2012.08939",
"language": "en",
"url": "https://arxiv.org/abs/2012.08939"
} |
\section*{Program summary}
\noindent \textit{Program title}: \textsf{SpaceGroupIrep}
\noindent \textit{Developer's respository link}: \url{https://github.com/goodluck1982/SpaceGroupIrep}
\noindent\textit{Licensing provisions}: GNU General Public Licence
3.0
\noindent\textit{Distribution format}: tar.gz
\noindent\t... | {
"timestamp": "2020-12-17T02:15:33",
"yymm": "2012",
"arxiv_id": "2012.08871",
"language": "en",
"url": "https://arxiv.org/abs/2012.08871"
} |
\section*{Introduction}
The construction of lasers with ultra-high frequency stability is a key enabling technology for optical atomic clocks \cite{ludlow_optical_2015} and a large variety of precision measurements \cite{krohn_fiber_2014, ghelfi_fully_2014, derevianko_hunting_2014, hogan_atom-interferometric_2016, canu... | {
"timestamp": "2020-12-17T02:16:52",
"yymm": "2012",
"arxiv_id": "2012.08898",
"language": "en",
"url": "https://arxiv.org/abs/2012.08898"
} |
\section{Introduction}
\subsection{Cubulating groups acting on polygonal complexes}
Recently, a very fruitful route to understanding groups has been to find an action on a $CAT(0)$ cube complex. Indeed, an action without a global fixed point provides an obstruction to Property $(T)$ \cite{Niblo-Reeves97}, while a pro... | {
"timestamp": "2021-01-15T02:19:00",
"yymm": "2012",
"arxiv_id": "2012.09019",
"language": "en",
"url": "https://arxiv.org/abs/2012.09019"
} |
\section{Introduction}
Graphs are an important tool for modeling systems with a set of objects and pairwise relationships between those objects. In many applications, the objects and the relations between them have temporal properties, resulting in dynamically changing graphs where the topology and/or other propertie... | {
"timestamp": "2020-12-17T02:17:08",
"yymm": "2012",
"arxiv_id": "2012.08909",
"language": "en",
"url": "https://arxiv.org/abs/2012.08909"
} |
\subsection{Tensor and Notations} \label{sec:prelim:tensor}
Tensors are defined as multi-dimensional arrays that
generalize the one-dimensional arrays (or vectors) and
two-dimensional arrays (or matrices) to higher dimensions.
Specifically, the dimension of a tensor is referred to as order or way;
the length of each ... | {
"timestamp": "2020-12-17T02:15:14",
"yymm": "2012",
"arxiv_id": "2012.08855",
"language": "en",
"url": "https://arxiv.org/abs/2012.08855"
} |
\section*{Supplementary material: Hopf bifurcation in addition-shattering kinetics}
\subsection{Truncated Models and Dulac function}
\label{sec:truncate}
In aggregation-fragmentation processes \eqref{AF:gen}, never-ending oscillations have not been found analytically. This is not surprising as it requires a solution... | {
"timestamp": "2020-12-17T02:20:26",
"yymm": "2012",
"arxiv_id": "2012.09003",
"language": "en",
"url": "https://arxiv.org/abs/2012.09003"
} |
\section{Introduction}
Forecasting is of utmost importance to the integration of renewable energy into power systems and electricity markets. The attention of energy forecasting has increased tremendously over the years \cite{Hong2020}. For instance, thinking of short-term operational problems, transmission system oper... | {
"timestamp": "2021-05-07T02:14:15",
"yymm": "2012",
"arxiv_id": "2012.08910",
"language": "en",
"url": "https://arxiv.org/abs/2012.08910"
} |
\section{Introduction}
Nowadays, there is an open question about the usefulness of machine learning (MLE) techniques to test significance of group analyses. While classification problems using MLE have been the main target in predictive or decoding analysis in neuroimaging, there is an increasing interest in the infe... | {
"timestamp": "2020-12-17T02:17:03",
"yymm": "2012",
"arxiv_id": "2012.08903",
"language": "en",
"url": "https://arxiv.org/abs/2012.08903"
} |
\section{INTRODUCTION}
\label{sec:introduction}
2D LiDARs provide accurate range measurements with a large field of view, often greater than 200 degrees, at an affordable price, and are a popular sensor choice for many robotic tasks, including person detection.
While early approaches for detecting persons in 2D range... | {
"timestamp": "2021-06-04T02:20:00",
"yymm": "2012",
"arxiv_id": "2012.08890",
"language": "en",
"url": "https://arxiv.org/abs/2012.08890"
} |
\section{Appendix}
\subsection{Network Architectures}
\end{document}
\section{Conclusion}
In this paper, we propose Coarse-to-Fine Flow Warping Network (C2F-FWN) to achieve both spatial and temporal consistency for HVMT, enabling us to preserve exemplary appearances as well as improve video coherence. Specifically, o... | {
"timestamp": "2020-12-17T02:19:21",
"yymm": "2012",
"arxiv_id": "2012.08976",
"language": "en",
"url": "https://arxiv.org/abs/2012.08976"
} |
\section{Introduction}
The origin of energetic particles is a long-standing problem of major importance in astrophysics.
While it is widely assumed that cosmic rays (CRs) with energies up to $\sim10^{15}$~eV are produced at non-relativistic shocks of Galactic supernova remnants, higher-energy particles, in particular ... | {
"timestamp": "2020-12-17T02:19:14",
"yymm": "2012",
"arxiv_id": "2012.08969",
"language": "en",
"url": "https://arxiv.org/abs/2012.08969"
} |
\section{Motivation}
\label{sec:mot}
Uncertainty quantification has gained a great deal of prominence in nuclear theory over the past several years. From \emph{ab initio} methods to macroscopic theories, many groups are tackling the broad challenge of including meaningful uncertainties on their theoretical calculati... | {
"timestamp": "2020-12-17T02:20:45",
"yymm": "2012",
"arxiv_id": "2012.09012",
"language": "en",
"url": "https://arxiv.org/abs/2012.09012"
} |
\section{Introduction}
This paper considers the Robust Distributed Model Predictive Control (RDMPC) of M discrete-time linear dynamical systems with disturbance, which formulate as
\begin{align}
x^i(t+1)&=A^ix^i(t)+B^iu^i(t)+w^i(t)\\
x^i(t)\in \mathcal{X}^i,& u^i(t)\in \mathcal{U}^i, w^i(t)\in \mathcal{W}^i, i=1,\dot... | {
"timestamp": "2020-12-17T02:15:35",
"yymm": "2012",
"arxiv_id": "2012.08872",
"language": "en",
"url": "https://arxiv.org/abs/2012.08872"
} |
\section{Class BDI}
\begin{figure}[b]
\includegraphics[width=\linewidth]{FigS1.jpg}
\caption{
Schematic description of the manifold enclosing a node on which the primary and the secondary topological charges are defined.
A nodal structure (an enclosing manifold) is depicted in red (green).
}
\label{fig:nodeshp&TC}
\end... | {
"timestamp": "2021-06-24T02:11:49",
"yymm": "2012",
"arxiv_id": "2012.08908",
"language": "en",
"url": "https://arxiv.org/abs/2012.08908"
} |
\section{The Voronoi tessellation in a spatial galaxy distribution: first works and basic approach}
\label{sec:1}
The geometrical methods based on the Voronoi diagram deal with a partitioning of space into regions in a specific subset of generators. It was named after Georgy F. Voronoi (April 28, 1868, Zhuravka villa... | {
"timestamp": "2020-12-17T02:19:12",
"yymm": "2012",
"arxiv_id": "2012.08965",
"language": "en",
"url": "https://arxiv.org/abs/2012.08965"
} |
\section{Introduction}
We give an equivariant (jet coordinate free) version of Morse cohomology estimates of J. P. Demailly \cite{D1}, \cite{D2} for invariant k-jet metrics on Demailly-Semple bundles. The result will have the same effect toward the Green-Griffith conjecture on the entire curve locus in projective mani... | {
"timestamp": "2020-12-17T02:21:17",
"yymm": "2012",
"arxiv_id": "2012.09024",
"language": "en",
"url": "https://arxiv.org/abs/2012.09024"
} |
\section{Introduction}
\label{sec:Intro}
In the link prediction (LP) task, we are given a snapshot of a social network, and asked to predict future links that are most likely to emerge between nodes. LP has a wide variety of applications, \eg, recommending friends in Facebook, followers in Twitter, products in Amazon,... | {
"timestamp": "2021-03-30T02:23:37",
"yymm": "2012",
"arxiv_id": "2012.08974",
"language": "en",
"url": "https://arxiv.org/abs/2012.08974"
} |
\section{Introduction}
The estimation of the parameters of a stochastic process on the basis of its random sampling (i.e. the process is observed at random times) received a wide attention in the past. Such a problem is well motivated by practical aspects. Indeed, the measuring instruments (classical or modern, such ... | {
"timestamp": "2020-12-17T02:19:12",
"yymm": "2012",
"arxiv_id": "2012.08966",
"language": "en",
"url": "https://arxiv.org/abs/2012.08966"
} |
\section{Introduction}
PHP remains the most common server-side language on the web, especially among the long tail of medium and small size websites.
Due to the amount of economic activity taking place online, PHP web applications remain a tempting target for malicious actors looking to exploit security vulnerabilitie... | {
"timestamp": "2020-12-17T02:14:11",
"yymm": "2012",
"arxiv_id": "2012.08835",
"language": "en",
"url": "https://arxiv.org/abs/2012.08835"
} |
\section{#1}}
\renewcommand{\thesection.\arabic{equation}}}{\thesection.\arabic{equation}}
\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
\else \newpage \fi \thispagestyle{empty}\cdot@page\z@
\def\arabic{footnote}{\fnsymbol{footnote}} }
\def\endtitlepage{\if@restonecol\twocolumn \else \f... | {
"timestamp": "2020-12-17T02:16:59",
"yymm": "2012",
"arxiv_id": "2012.08902",
"language": "en",
"url": "https://arxiv.org/abs/2012.08902"
} |
\section{Introduction}
The pencil sketch is one kind of drawing with a highly realistic style. It is not only a popular form of art creation but also the essential basic of other art forms such as oil painting. To draw a pencil sketch, artists should have accurate contour configuration ability and superb shading drawin... | {
"timestamp": "2020-12-17T02:20:29",
"yymm": "2012",
"arxiv_id": "2012.09004",
"language": "en",
"url": "https://arxiv.org/abs/2012.09004"
} |
\section{Introduction}
Little is known about the complemented subspace structure of Lorentz sequence spaces $d(\textbf{w},p)$. Until recently, the only nontrivial complemented subspace discussed in the literature was $\ell_p$ (\cite{ACL73}). Then, in \cite{Wa20} it was shown that for certain weights $\textbf{w}$ (se... | {
"timestamp": "2020-12-17T02:18:23",
"yymm": "2012",
"arxiv_id": "2012.08935",
"language": "en",
"url": "https://arxiv.org/abs/2012.08935"
} |
\section{Introduction}
This document is a template for \LaTeXe. If you are reading a paper or
PDF version of this document, please download the electronic file
\texttt{ifacconf.tex}. You will also need the class file
\texttt{ifacconf.cls}. Both files are available on the IFAC web site.
Please stick to the format defin... | {
"timestamp": "2020-12-17T02:14:09",
"yymm": "2012",
"arxiv_id": "2012.08834",
"language": "en",
"url": "https://arxiv.org/abs/2012.08834"
} |
\section{Introduction}
\label{sec:intro}
In order to explain the observed baryon asymmetry of the universe \cite{Canetti2012}, a new source of charge-parity (CP) violation beyond the single complex phase in the Standard Model (SM) Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix is needed \cite{Sakharov1991a}. At ... | {
"timestamp": "2021-06-29T02:31:14",
"yymm": "2012",
"arxiv_id": "2012.08846",
"language": "en",
"url": "https://arxiv.org/abs/2012.08846"
} |
\section{Introduction}
Networks are usually seen as a parsimonious model to describe the backbone architecture of complex systems \cite{latora}. Accordingly, comparing different systems boils down to compare their architecture, leading to the notion of network similarity measure \cite{distance0,distance1,distance2,dist... | {
"timestamp": "2020-12-17T02:20:30",
"yymm": "2012",
"arxiv_id": "2012.09006",
"language": "en",
"url": "https://arxiv.org/abs/2012.09006"
} |
\section{Introduction}}\label{sec:introduction}
3D depth-sensing devices have become ubiquitous in the last decades, finding applications ranging from robotics, 3D scanning, autonomous driving, drones, and agriculture, biology, geology, atmosphere, to military uses, law enforcement, and even gaming. The LIDAR technol... | {
"timestamp": "2020-12-17T02:18:44",
"yymm": "2012",
"arxiv_id": "2012.08951",
"language": "en",
"url": "https://arxiv.org/abs/2012.08951"
} |
\chapter*{Abstract}
\rfoot[e1]{\thepage}
\fancypagestyle{plain}{
\fancyfoot[R]{\thepage}
}
\pagestyle{fancy}
\pagestyle{fancy}
The relevance of hidden symmetries is explored at the level of classical and quantum mechanics in a variety of physical systems related to conformal and superconformal invariance. Hidden s... | {
"timestamp": "2020-12-17T02:19:09",
"yymm": "2012",
"arxiv_id": "2012.08963",
"language": "en",
"url": "https://arxiv.org/abs/2012.08963"
} |
\section{}
\section{Introduction}
Transverse single-spin asymmetries (TSSAs) have been puzzling physicists more than three decades.
They are among the most intriguing observables in hadronic physics since first FermiLab measurements for $p+\mathrm{Be} \to \Lambda^{\uparrow}+X$ reaction\cite{Bunce:1976yb}.
Since then,... | {
"timestamp": "2020-12-17T02:15:52",
"yymm": "2012",
"arxiv_id": "2012.08880",
"language": "en",
"url": "https://arxiv.org/abs/2012.08880"
} |
\section{Introduction}
Quantum computing is experiencing the transition from a scientific to an engineering field with the promise to revolutionize an extensive range of applications demanding high-performance computing. The major areas include artificial intelligence, autonomous driving, cryptography, drug developmen... | {
"timestamp": "2020-12-17T02:21:16",
"yymm": "2012",
"arxiv_id": "2012.09021",
"language": "en",
"url": "https://arxiv.org/abs/2012.09021"
} |
\section*{Introduction}
The ground state of the Laplace equation in a regular polygon with Dirichlet boundary conditions at the $n$ sides,
has a natural expression as a Neumann series of Bessel and trigonometric functions,
$$\psi_n (r,\theta) = J_0(\lambda_n r) +2 {\sum}_{k=1}^\infty h_{k,n} J_{kn} (\lambda_n r) \cos(... | {
"timestamp": "2020-12-17T02:18:34",
"yymm": "2012",
"arxiv_id": "2012.08944",
"language": "en",
"url": "https://arxiv.org/abs/2012.08944"
} |
\section{Introduction}\label{sec:intro}
The study of quantitative versions of Helly-type questions was initiated by
B\'ar\'any, Katchalski and Pach in \cite{BKP82}, where the \emphdef{Quantitative
Volume Theorem} is shown, stating the following. \label{page:QVT}
\emph{Assume that the intersection of any $2d$ members... | {
"timestamp": "2021-01-25T02:15:39",
"yymm": "2012",
"arxiv_id": "2012.08964",
"language": "en",
"url": "https://arxiv.org/abs/2012.08964"
} |
\section{Introduction}
It is an understatement to say that, for a century now, Noether's two theorems \cite{Noether,Bessel-Hagen} have played a central role in physics \cite{YKS}. Since both symmetry and variational principles have become so fundamental to the point that they structure modern theories, these theorems... | {
"timestamp": "2020-12-17T02:15:07",
"yymm": "2012",
"arxiv_id": "2012.08853",
"language": "en",
"url": "https://arxiv.org/abs/2012.08853"
} |
\section{Introduction}
\label{sect:Introduction}
Data is considered a key production factor, comparable in importance to labour, capital, and infrastructure. Companies are often in need of data they do not possess, or cannot collect directly. Therefore, general purpose\footnote{See for example DAWEX, Azure Data Catalo... | {
"timestamp": "2020-12-17T02:15:39",
"yymm": "2012",
"arxiv_id": "2012.08874",
"language": "en",
"url": "https://arxiv.org/abs/2012.08874"
} |
\section{Motivations}
Fundamental advances in cryptography were made in secret during the 20th century. One exception was Claude E. Shannon's paper ``Communication Theory of Secrecy Systems'' \cite{shannonsecrecy}. Until 1967, the literature on security was not extensive, but a book \cite{histreview} with a historica... | {
"timestamp": "2020-12-17T02:17:45",
"yymm": "2012",
"arxiv_id": "2012.08924",
"language": "en",
"url": "https://arxiv.org/abs/2012.08924"
} |
\section{Introduction}
\renewcommand{\labelitemi}{$\bullet$}
\label{intro}
Numerous practical applications include two or more sub-problems, many of which can be summarized as a combinatorial optimization problem. The combinatorial optimization problem is one of the most challenging problems. A combinatorial optimizati... | {
"timestamp": "2020-12-17T02:16:27",
"yymm": "2012",
"arxiv_id": "2012.08888",
"language": "en",
"url": "https://arxiv.org/abs/2012.08888"
} |
\section*{Introduction}
Throughout this paper, $R$ denotes a discrete valuation ring with field of fractions $K$ and residue field $k$ of characteristic $p >0$. Let $f: \mathcal{X} \to \Spec(R)$ be a faithfully flat morphism of finite type, and let $f_K: X \to \Spec(K)$ be its generic fiber. Assume that we are give... | {
"timestamp": "2021-11-30T02:33:17",
"yymm": "2012",
"arxiv_id": "2012.08896",
"language": "en",
"url": "https://arxiv.org/abs/2012.08896"
} |
\subsubsection*{Acknowledgments}
\section{Introduction}
Bayesian inference is a popular method for estimating unknown parameters from data,
largely due to its ability to quantify uncertainty in the estimation results~\cite{gelman2014bayesian}.
In the current work we consider a special class of Bayesian inference pro... | {
"timestamp": "2020-12-17T02:14:57",
"yymm": "2012",
"arxiv_id": "2012.08848",
"language": "en",
"url": "https://arxiv.org/abs/2012.08848"
} |
\section{Introduction}
While the method of forcing has ``impressive success in proving independence results for set theory'' \cite[p.81]{bottom}, mathematical logic lacks general methods to prove independence of arithmetical $\Pi_1$-sentences. This lack has been pointed out by
Pudl\'ak in \cite{bottom}
and repea... | {
"timestamp": "2020-12-17T02:20:17",
"yymm": "2012",
"arxiv_id": "2012.08998",
"language": "en",
"url": "https://arxiv.org/abs/2012.08998"
} |
\section{extras}
Let's summarize our main results and conclusions. In this letter, we have investigated, for the first time, the dilepton production in diffractive and exclusive production at forward rapidities considering ultraperipheral $PbPb$ collisions at the LHC. We have derived predictions for the... | {
"timestamp": "2020-12-17T02:17:39",
"yymm": "2012",
"arxiv_id": "2012.08923",
"language": "en",
"url": "https://arxiv.org/abs/2012.08923"
} |
\section{Introduction}
\IEEEPARstart{T}{he} degrees-of-freedom (DoF) characterization for the multiple-input multiple-output (MIMO) X channel with delayed channel state information at the transmitter (CSIT) has attracted lots of interests \cite{71,72,107,64}. In \cite{71}, a non-trivial sum-DoF lower bound was achie... | {
"timestamp": "2021-03-11T02:10:21",
"yymm": "2012",
"arxiv_id": "2012.08980",
"language": "en",
"url": "https://arxiv.org/abs/2012.08980"
} |
\section{Introduction}
For $f \in \mathcal{S}(\mathbb{R}),$ one defines the \emph{Carleson operator} to be
\[
Cf(x) = \sup_{N \in \mathbb{R}} \left| \int_{\mathbb{R}} f(x-t) e^{iNt} \frac{\mathrm{d} t}{t}\right| .
\]
A celebrated result related to this operator is that it is bounded on $L^2(\mathbb{R}).$ This was firs... | {
"timestamp": "2020-12-17T02:17:10",
"yymm": "2012",
"arxiv_id": "2012.08913",
"language": "en",
"url": "https://arxiv.org/abs/2012.08913"
} |
\section{Introduction}
A pioneering research based on the monitoring of H\&K fluxes for 91 main-sequence stars showed that activity variations, including long-term cyclic behaviour similar to the 11-yr cycle of Sun, were also observed in other stars \citep{1978ApJ...226..379W}. Then, by using the Mount Wilson index ($... | {
"timestamp": "2020-12-17T02:19:27",
"yymm": "2012",
"arxiv_id": "2012.08983",
"language": "en",
"url": "https://arxiv.org/abs/2012.08983"
} |
\section{Introduction}\label{Introduction}
Blood vessels, spread throughout the human body, constitute a significant part of the circulatory system.
All body tissues rely on the normal functioning of different vessels such as cerebral arteries, retinal vessels, carotid arteries, pulmonary arteries, and coronaries.
Any ... | {
"timestamp": "2020-12-17T02:18:03",
"yymm": "2012",
"arxiv_id": "2012.08929",
"language": "en",
"url": "https://arxiv.org/abs/2012.08929"
} |
\section{Introduction}
In the Internet era, large global e-commerce portals such as Amazon and AliExpress often serve customers all over the world and contain billions of items.
It is particularly challenging for the recommender systems to meet the enormous needs of users with different preferences.
Personalization t... | {
"timestamp": "2020-12-17T02:18:49",
"yymm": "2012",
"arxiv_id": "2012.08952",
"language": "en",
"url": "https://arxiv.org/abs/2012.08952"
} |
\section{Introduction}
Axion-like particles (ALPs), $s$, are pseudo-scalar singlets of the Standard Model (SM) gauge group,
whose interactions are typically assumed to respect an approximate shift symmetry $s\to
s+\sigma$ with constant $\sigma$. They arise naturally in theories with a spontaneously broken global symmet... | {
"timestamp": "2020-12-17T02:21:01",
"yymm": "2012",
"arxiv_id": "2012.09017",
"language": "en",
"url": "https://arxiv.org/abs/2012.09017"
} |
\section{Introduction}
The purpose of this work is to study high frequency asymptotics of eigenfunctions to the Schr\"odinger operator on the $2$-sphere
\begin{equation}\label{e:sphere}\mathbb{S}^2:=\left\{(x_1,x_2,x_3)\in\mathbb{R}^3:x_1^2+x_2^2+x_3^2=1\right\}.\end{equation}
We endow $\IS^2$ with the Riemannian metr... | {
"timestamp": "2021-06-01T02:31:19",
"yymm": "2012",
"arxiv_id": "2012.08838",
"language": "en",
"url": "https://arxiv.org/abs/2012.08838"
} |
\section{\label{sec:Introduction}Introduction}
MgO is one of the most extensively studied oxides which is used as a
substrate material and in various heterostructures with applications related to
tunneling magnetoresistance \cite{Maruyama,Sofin,Yang}. As a wide band gap insulator with
a measured optical band gap of ... | {
"timestamp": "2021-04-06T02:19:38",
"yymm": "2012",
"arxiv_id": "2012.08960",
"language": "en",
"url": "https://arxiv.org/abs/2012.08960"
} |
\section{Introduction}
Now we briefly present some preliminaries including definitions and notations.
\vspace{0.5 cm}
\textbf{Definition 1.} ([1]) A directed topological space, or a d-space $X = (X,PX)$ is a topological space equipped with a set $PX$ of continuous maps $\gamma : I \to X$ (where $I=[0,1]$ equipped with... | {
"timestamp": "2020-12-17T02:18:35",
"yymm": "2012",
"arxiv_id": "2012.08945",
"language": "en",
"url": "https://arxiv.org/abs/2012.08945"
} |
\section{Introduction}
Horizontal gene transfer (HGT) laterally introduces foreign genetic
material into a genome. The phenomenon is particularly frequent in
prokaryotes \cite{Soucy:15,NelsonSathi:15} but also contributed to shaping
eukaryotic genomes
\cite{Keeling:08,Husnik:18,Acuna:12,Li:14,Moran:10,Schonknecht:13}.... | {
"timestamp": "2021-04-07T02:21:54",
"yymm": "2012",
"arxiv_id": "2012.08897",
"language": "en",
"url": "https://arxiv.org/abs/2012.08897"
} |
\section{\uppercase{Introduction}}
\label{sec:introduction}
In his influential 2017 paper \cite{narrative_econ_paper}, later expanded into the successful 2019 book {\em Narrative Economics: How Stories Go Viral and Drive Major Economic Events} \cite{narrative_econ_book}, Nobel Laureate Robert Shiller introduced the co... | {
"timestamp": "2020-12-17T02:14:52",
"yymm": "2012",
"arxiv_id": "2012.08840",
"language": "en",
"url": "https://arxiv.org/abs/2012.08840"
} |
\section{Introduction}
Quantum optomechanics focuses on the interaction between the electromagnetic radiation and motional degrees of freedom of mechanical oscillators\,\cite{Aspelmeyer,optobook,backaction}. The simplest optomechanical system consists of a single cavity mode interacting with a single mechanical mode... | {
"timestamp": "2020-12-17T02:15:47",
"yymm": "2012",
"arxiv_id": "2012.08876",
"language": "en",
"url": "https://arxiv.org/abs/2012.08876"
} |
\section*{Introduction}
\label{sec:intro}
Measurement and characterization of quantum systems comprise a long-standing problem in quantum information science~\cite{James2001}. However, the exponential scaling of Hilbert space dimension with the number of qubits makes full characterization extremely challenging, inspir... | {
"timestamp": "2020-12-17T02:20:12",
"yymm": "2012",
"arxiv_id": "2012.08997",
"language": "en",
"url": "https://arxiv.org/abs/2012.08997"
} |
\section{Compilation: Generating Monitors}\label{sec:compilation}
While interpretation of specifications enables rapid prototyping, its logic is far more complex than a compiled monitor, at the same time resulting in subpar performance.
This renders compilation preferable.
Additionally, the compiler can inject additi... | {
"timestamp": "2020-12-17T02:18:57",
"yymm": "2012",
"arxiv_id": "2012.08959",
"language": "en",
"url": "https://arxiv.org/abs/2012.08959"
} |
\section{Introduction}
\IEEEPARstart{M}{OBILE} robots have been widely applied in various scenarios, such as family service, logistics, search-and-rescue, and so on. Motion planning is one of the key technologies for mobile robots to achieve full autonomy in these scenarios \cite{latombe1991robot, lavalle2006planning, ... | {
"timestamp": "2021-11-17T02:07:49",
"yymm": "2012",
"arxiv_id": "2012.08892",
"language": "en",
"url": "https://arxiv.org/abs/2012.08892"
} |
\section{\label{sec:Introdution} Introduction}
The Kuramoto model describes synchronization between coupled phase oscillators, and has been studied extensively since it was first introduced \cite{kuramoto1975international}. This representative model has attracted much attention for its wide range of applications in ph... | {
"timestamp": "2021-04-28T02:02:31",
"yymm": "2012",
"arxiv_id": "2012.08882",
"language": "en",
"url": "https://arxiv.org/abs/2012.08882"
} |
\section{Introduction}
Let $\mathcal{X} = L^\infty [0, 1]$ and
consider the following Urysohn integral operator
\begin{align}\label{eq:1.1}
\mathcal{K} (x)(s) = \int_0^1 \kappa \left(s, t, x (t)\right) d t, \;\;\; s \in [0, 1], \; x \in \mathcal{X},
\end{align}
where $\kappa (s, t, u)$ is a real valued con... | {
"timestamp": "2020-12-17T02:15:52",
"yymm": "2012",
"arxiv_id": "2012.08879",
"language": "en",
"url": "https://arxiv.org/abs/2012.08879"
} |
\section{Introduction}
Determination of the structure of the hadron scattering amplitude
is an important task for both theory and experiment.
Perturbative Quantum Chromodynamics cannot be used
in calculation of the real and imaginary
parts of the scattering amplitude in the diffraction range.
A worse ... | {
"timestamp": "2021-05-05T02:14:54",
"yymm": "2012",
"arxiv_id": "2012.08891",
"language": "en",
"url": "https://arxiv.org/abs/2012.08891"
} |
\section{Introduction}
The classical tilting theory was introduced in the context of finite generated modules over artin algebras by Auslander et al. \cite{MA_1979}, Brenner and Butler \cite{SB_1980}, Happel and Ringel \cite{DH_1982} and so on, and since then it has played a central role in the development of the repr... | {
"timestamp": "2020-12-17T02:20:26",
"yymm": "2012",
"arxiv_id": "2012.09002",
"language": "en",
"url": "https://arxiv.org/abs/2012.09002"
} |
\section{Introduction}
Inelasticity at large strain has been the focus of an intense research activity for decades, first from the
engineering community, see, e.g., the monographs
\cite{DunPet05ICP,JirBaz02IAS,Maug92TPF}, and subsequently also from the mathematical point of view (see, e.g., the recent contributions... | {
"timestamp": "2020-12-17T02:17:10",
"yymm": "2012",
"arxiv_id": "2012.08914",
"language": "en",
"url": "https://arxiv.org/abs/2012.08914"
} |
\section{Green's operator of a linear elastic material
}
\label{appendix1}
The auxiliary problem of a homogeneous material with stiffness ${\bf c}^0$
subject to a periodic polarization field ${\bfmit \mathchar"711C}$ plays an important role
in the method which has been proposed. Its solution, which can be found in se... | {
"timestamp": "2020-12-17T02:19:08",
"yymm": "2012",
"arxiv_id": "2012.08962",
"language": "en",
"url": "https://arxiv.org/abs/2012.08962"
} |
\section{Introduction}
In this paper we denote by $\R^n$ the Euclidean $n$-space, and for any $x,y \in \R^n$, the closed segment with endpoints $x,y$ by $[x,y]$. We call a compact, convex set with nonempty interior a \emph{convex body}.
It is well known that for any $o$-symmetric body $K$ there is a unique $n$-dime... | {
"timestamp": "2021-09-24T02:14:10",
"yymm": "2012",
"arxiv_id": "2012.08955",
"language": "en",
"url": "https://arxiv.org/abs/2012.08955"
} |
\section{Introduction}
\label{introduction}
Let $\chi $ be an algebraic curve defined over a finite field $\mathrm{GF}(q)$, and let $D$ be an
$\mathrm{GF}(q)$-rational divisor on $\chi $.
The computation of a basis of the Riemann-Roch space $\mathcal{L}(D)$ associated to $D$ is an essential tool in Coding Theory a... | {
"timestamp": "2020-12-17T02:15:30",
"yymm": "2012",
"arxiv_id": "2012.08870",
"language": "en",
"url": "https://arxiv.org/abs/2012.08870"
} |
\section{Introduction}\label{sec:Introduction}
Knowledge graphs (KGs) are collections of factual information represented in the form of relational triplets. Each relation triplet can be organized as $(h, r, t)$ where $h$ and $t$ represents the head and tail entities and $r$ is the relation between $h$ and $t$. KGs have... | {
"timestamp": "2021-07-27T02:33:35",
"yymm": "2012",
"arxiv_id": "2012.08911",
"language": "en",
"url": "https://arxiv.org/abs/2012.08911"
} |
\section*{Abstract}
{
\bf
Variational Monte Carlo with neural network quantum states has proven to be a promising avenue for evaluating the ground state energy of spin Hamiltonians.
However, despite continuous efforts the performance of the method on frustrated Hamiltonians remains significantly worse than those on s... | {
"timestamp": "2021-08-25T02:24:39",
"yymm": "2012",
"arxiv_id": "2012.08889",
"language": "en",
"url": "https://arxiv.org/abs/2012.08889"
} |
\section*{Introduction}
The past half-decade has seen unprecedented growth in machine learning with deep neural networks (DNNs). Use of DNNs represents the state-of-the-art in many applications, including large-scale computer vision, natural language processing, and data mining tasks \cite{lecun2015deep,silver2017maste... | {
"timestamp": "2021-04-05T02:02:56",
"yymm": "2012",
"arxiv_id": "2012.08906",
"language": "en",
"url": "https://arxiv.org/abs/2012.08906"
} |
\section{Introduction}
After almost a decade of notable advances in AI using data-driven machine learning approaches, there is a growing sense in the field that symbolic knowledge needs to be included in AI systems to get to the next level of machine intelligence. This thought is materialized in the so called \textit... | {
"timestamp": "2020-12-17T02:20:29",
"yymm": "2012",
"arxiv_id": "2012.09005",
"language": "en",
"url": "https://arxiv.org/abs/2012.09005"
} |
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