meta stringlengths 97 612 | red_pajama_subset stringclasses 4
values | prompt stringlengths 1 200 | answer stringlengths 0 518k |
|---|---|---|---|
{'timestamp': '2022-09-30T02:06:33', 'yymm': '2209', 'arxiv_id': '2209.14516', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14516'} | arxiv |
\section*{Acknowledgments}
We are grateful to Yuni Iwamasa and Taihei Oki for initial discussions on the problem.
The work was supported by the Lend\"ulet Programme of the Hungarian Academy of Scien | ces -- grant number LP2021-1/2021 and by the Hungarian National Research, Development and Innovation Office -- NKFIH, grant numbers FK128673 and TKP2020-NKA-06.
Yutaro Yamaguchi was supported by JSPS KAKENHI Grant Numbers 20K19743 and 20H00605, and by Overseas Research Program in Graduate School of Information Science ... |
{'timestamp': '2022-09-30T02:09:29', 'yymm': '2209', 'arxiv_id': '2209.14612', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14612'} | arxiv | \section{Introduction }
\label{intro}
Everywhere irregular signals are ubiquitous in nature: Classical examples are supplied by natural phenomena (hydrodynamic turbulence \cite{H18}, geophysics, na | tural textures \cite{Johnson2014}), physiological data (medical imaging \cite{Arneodo2003a}, heartbeat intervals \cite{ABRY:2010:A}, E.E.G \cite{EMBC19_Brain}); they are also present in human activity and technology (finance \cite{Bacry2010b}, internet traffic \cite{MandMemor}, repartition of population \cite{frankha... |
{'timestamp': '2022-09-30T02:07:15', 'yymm': '2209', 'arxiv_id': '2209.14539', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14539'} | arxiv | \section{Introduction}\label{Section1}
With the rapid development of the Internet of Things (IoT) and $5$th Generation Mobile Communication ($5$G) technologies, the power supply and high-rate communic | ation for electronic devices (e.g., sensors, cameras) have become well-known issues \cite{wu2014cognitive, sun2019cooperative}. Recently, to support novel applications in the IoT and 5G wireless networks, some studies have been conducted to implement self-sustainable communication systems with energy harvesting (EH) te... |
{'timestamp': '2022-10-04T02:04:47', 'yymm': '2209', 'arxiv_id': '2209.14552', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14552'} | arxiv | \subsection{#1}}
\setlength{\textfloatsep}{3pt}
\algdef{SE}[SUBALG]{Indent}{EndIndent}{}{\algorithmicend\ }%
\algtext*{Indent}
\algtext*{EndIndent}
\title{\LARGE \bf
Centralized and Decentraliz | ed Techniques for Analysis and Synthesis of Non-Linear Networked Systems
\vspace{-15pt}
}
\author{Shirantha Welikala, Hai Lin and Panos J. Antsaklis
\thanks{The support of the National Science Foundation (Grant No. IIS-1724070, CNS-1830335, IIS-2007949) is gratefully acknowledged.}
\thanks{The authors are with the Dep... |
{'timestamp': '2022-09-30T02:08:42', 'yymm': '2209', 'arxiv_id': '2209.14591', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14591'} | arxiv | \section{Introduction}
\label{sec:intro}
About $13$ million people in Bangladesh are suffering from different degrees of hearing loss, of which $3$ million have hearing disability~\cite{alauddin2004de | afness}.
There are around $1$ million using Bangladeshi Sign Language (BdSL) in their everyday life\cite{c2}. While communicating with a signer
, there are two major tasks for a non-signer: \textit{(i)} understanding the signs and \textit{(ii)} expressing the signs. Researchers made impressive contributions to task~\te... |
{'timestamp': '2022-09-30T02:07:19', 'yymm': '2209', 'arxiv_id': '2209.14543', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14543'} | arxiv | \section{Introduction}
The aim of this paper is to highlight the combinatorial structure of a problem coming from symplectic geometry, that is, finding almost-complex structures on a given symplectic | manifold satisfying a geometric and differential property. We will restrict to a particular class of symplectic manifolds that are called \emph{adjoint orbits}, that are diffeomorphic to a quotient $G/V$ where $G$ is a semisimple Lie group and $V$ a compact subgroup. On these manifolds one can choose a symplectic stru... |
{'timestamp': '2022-09-30T02:09:31', 'yymm': '2209', 'arxiv_id': '2209.14613', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14613'} | arxiv | \section{Appendix}
\label{s:App}
In this section, we include additional comparisons to related work, additional definitions, proofs to the theorems in the main text, and additional experimental detail | s.
The code to reproduce the figures and experiments is available here: \url{https://github.com/cavalab/proportional-multicalibration}.
\subsection{Related Work}
\label{s:App:related}
\paragraph{Definitions of Fairness}
There are myriad ways to measure fairness that are covered in more detail in other works~\citep{... |
{'timestamp': '2022-10-06T02:08:16', 'yymm': '2209', 'arxiv_id': '2209.14558', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14558'} | arxiv | \section{Introduction}
The fundamental goal of machine learning algorithms is to identify the conditional distribution given any input and its label. In the training phase, it’s conventional to assume | that the underlying classifier or function belongs to a certain class of functions. Therefore presuming that the approximation error is insignificant would be a necessary practice. This practice allows the training to emphasize on what is more practical to reduce the estimation error, which is the major error a classi... |
{'timestamp': '2022-09-30T02:07:43', 'yymm': '2209', 'arxiv_id': '2209.14556', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14556'} | arxiv | \section{SUPPLEMENTAL MATERIAL}
\subsection{Section 1: Photoelectron emission angle dependence of core-level spectra}
Figure 6 shows a comparison of core-level spectra measured at different photoelect | ron emission angles $\theta = 90^\circ$ and $60^\circ$ [see Fig. 6(a) for the definition of $\theta$].
Because of the finite escape depth of photoelectrons ($\lambda$) in the sample, the photoemission spectrum taken at a smaller $\theta$ is more surface sensitive; an effective escape depth $\lambda_{\rm eff}=\lambda\si... |
{'timestamp': '2022-10-05T02:11:17', 'yymm': '2209', 'arxiv_id': '2209.14497', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14497'} | arxiv | \section{Introduction}
Particle-laden turbulent flows are multiphase systems where a carrier fluid interacts with a dispersed phase made by a number of solid objects, e.g., spheres or fibers. Such fl | ows concern an important class of problems with numerous applications related to both natural and industrial processes~\citep{delillo2014turbulent,breard2016coupling,sengupta2017phytoplankton, falkinhoff2020preferential, rosti2020fluid}.
In the analysis and modelling of such problems, a crucial distinction can be made ... |
{'timestamp': '2022-09-30T02:08:01', 'yymm': '2209', 'arxiv_id': '2209.14565', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14565'} | arxiv | \section{introduction}
Following the success of the use of neural networks across different fields of science~\cite{ching2018opportunities,topol2019high,hannun2019cardiologist,mehta2019high} for detec | ting patterns in data, proposals have been set forth in the quantum regime~\cite{fujii2017harnessing,qrpreview}.
In this direction, a particular quantum neural network architecture has emerged -- termed \emph{quantum reservoir processing}, in analogy to classical reservoir computing~\cite{montavon2012neural}. In such a... |
{'timestamp': '2022-09-30T02:06:59', 'yymm': '2209', 'arxiv_id': '2209.14527', 'language': 'zh', 'url': 'https://arxiv.org/abs/2209.14527'} | arxiv | \section{Introduction}
\label{introduction} | |
{'timestamp': '2022-09-30T02:08:39', 'yymm': '2209', 'arxiv_id': '2209.14587', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14587'} | arxiv | \section{Introduction}
\label{sec:introduction}
The Weibull distribution is one of the most important probability distributions in analysis of lifetime data. The probability density function and cumul | ative density function of a Weibull random variable $T$ with shape parameter $k>0$ and scale parameter $\lambda>0$ are
\begin{align}
\label{eqn:y:complete}
p_T(t|k, \lambda) = \left(\frac{k}{\lambda^k}\right) t^{k-1} \exp\left(-\left(\frac{t}{\lambda}\right)^k\right), \quad F_T(t | k, \lambda) = 1 - \exp\left(-\left(... |
{'timestamp': '2022-09-30T02:09:07', 'yymm': '2209', 'arxiv_id': '2209.14602', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14602'} | arxiv |
\section{Introduction}
Dense prediction refers to the process of predicting the label for each point in a point cloud. It is widely known that dense prediction plays a pivotal role in 3D robotic p | erception and autonomy, enabling an array of tasks such as semantic segmentation, depth completion, and scene flow estimation.
\begin{figure}[htbp]
\centering
\includegraphics[width=3.3in]{./figures/qua_scannet.pdf}
\caption{In a dense prediction task, i.e., 3D semantic segmentation, we note
the ... |
{'timestamp': '2022-09-30T02:06:30', 'yymm': '2209', 'arxiv_id': '2209.14513', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14513'} | arxiv | \section{Introduction}
Distributional reinforcement learning~\citep{bellemare2017distributional, dabney2017distributional, dabney2018implicit, yang2019fully, zhou2020non, nguyen2020distributional,luo | 2021distributional, sun2022distributional} characterizes the intrinsic randomness of returns within the framework of Reinforcement Learning~(RL). When the agent interacts with the environment, the intrinsic uncertainty of the environment seeps in the the stochasticity of rewards the agent receives and the inherently ch... |
{'timestamp': '2022-09-30T02:05:34', 'yymm': '2209', 'arxiv_id': '2209.14485', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14485'} | arxiv | \section{Introduction}
Galactic scale flows (both inflowing and outflowing) are an essential ingredient in models of galaxy formation. In particular, flows are responsible for regulating the baryon | cycle and are necessary to reproduce observations on both galactic and cosmic scales. A simple, but useful explanation is that flows work in equilibrium. For example, supernovae or AGN driven feedback is necessary to expel matter from the interstellar medium (ISM) to enrich the circumgalactic medium (CGM, \citealt{Tu... |
{'timestamp': '2022-09-30T02:05:50', 'yymm': '2209', 'arxiv_id': '2209.14496', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14496'} | arxiv | \section*{Introduction}
Gentle algebras arose as generalizations of iterated tilted algebras of type $A$ in \cite{assem1981generalized} and \cite{assem1987iterated}. In representation theory, gentle a | lgebras have been of interest mainly due to the fact that they form a rich, but sufficiently well-behaved class of algebras. However, gentle algebras appear naturally in many other areas of mathematics as well, a preeminent example being the field of homological mirror symmetry (for example, see \cite{haiden2014flat}).... |
{'timestamp': '2022-10-03T02:05:31', 'yymm': '2209', 'arxiv_id': '2209.14520', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14520'} | arxiv | \section{Introduction}
\label{Introduction}
Recently, Federated Learning (FL) is known as a novel distributed learning methodology for enhancing communication efficiency and ensuring privacy in tradit | ional centralized one \cite{2017-FL-FederatedLearning}. However, the most challenge of this method for client models is non-independent and identically distributed (non-IID) data, which leads to divergence into unknown directions. Inspired by this, various works on handling non-IID were proposed in
\cite{2020-FL-FedPr... |
{'timestamp': '2022-09-30T02:07:15', 'yymm': '2209', 'arxiv_id': '2209.14538', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14538'} | arxiv | \section{Introduction}
Let $q$ be a positive integer and $a\in(\mathbb{Z}/q\mathbb{Z})^*$. We define $p(q,a)$ as the least prime occurring in the arithmetic progression $\{qn+a, n\in\mathbb{N} | \}$. Under the Riemann Hypothesis for the $L$-Dirichlet series of characters $\chi$ mod $q$, it can be proved that
\vspace{-2mm}
$$p(q,a)\ll(\phi(q)\log q)^2,$$
\vspace{2mm}
\noindent
where $\phi$ denotes the Euler totient function. Unconditionally, using the Siegel-Walfisz Theorem, one can show that
\vspace{-2mm... |
{'timestamp': '2022-09-30T02:05:26', 'yymm': '2209', 'arxiv_id': '2209.14480', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14480'} | arxiv | \subsection*{Du~Bois property}{\ }
\noindent
Let $M$ be a compact K\"ahler manifold. One of the useful consequences of the Hodge
decomposition is the surjectivity of the natural map
\[
H^i(M, \c)\o | nto H^i(M, \o_M).
\]
Roughly speaking, projective varieties with Du~Bois singularities form the largest
class that is stable under natural operations (small deformations, products, general
hyperplane sections) where the above surjectivity still holds.
For our curent purposes the Du~Bois property can be handled as a... |
{'timestamp': '2022-09-30T02:05:47', 'yymm': '2209', 'arxiv_id': '2209.14494', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14494'} | arxiv | \section{Introduction}
Legal information retrieval is a specialized task in natural language processing (NLP) that involve retrieving relevant legal documents \footnote{In this paper, "text" and "docu | ment" are used interchangeably} given a query. Compared with traditional text retrieval, legal text retrieval is more difficult since legal documents are often long and complicated. On the other hand, questions are often highly complex and need a person with good expertise to give the correct answer.
Legal informatio... |
{'timestamp': '2022-09-30T02:06:59', 'yymm': '2209', 'arxiv_id': '2209.14528', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14528'} | arxiv | \section{Introduction}
Quantum interference is one of the most vivid illustrations of the wave nature of quantum mechanical systems. It shows up whenever multiple paths of different phases or multip | le energy levels are present, from double slit experiments and weak localization to Landau-Zener interference. Quantum interference also underlies many important applications, whether it is atomic clocks \cite{Degen2017} or Shor's factorization algorithm \cite{Shor1994, Ekert1996, Shor1997}, and would conceivably be a... |
{'timestamp': '2022-10-03T02:07:19', 'yymm': '2209', 'arxiv_id': '2209.14603', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14603'} | arxiv | \section{Introduction}
The sharing of medical datasets is essential in enabling the cross-hospital flow of medical information and improving the quality of medical services~\cite{kumar2021integration} | .
However, sharing healthcare datasets between different hospitals faces several thorny issues.
Firstly, privacy protection has been a severe issue hindering the process when sharing medical image datasets from different hospitals~\cite{kaissis2020secure}.
Second, sharing large-scale high-resolution medical image datas... |
{'timestamp': '2022-09-30T02:08:00', 'yymm': '2209', 'arxiv_id': '2209.14563', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14563'} | arxiv | \section*{Introduction}
The Earth's temperate climate has been maintained through the geochemical carbon cycle in which weathering plays a key role \cite{Walker+1981}.
On the present-day Earth, weath | ering takes place efficiently on land.
Lands exist on the Earth because the planet has a moderate amount of seawater accounting for 0.023\% of the planet's total mass.
On planets having tens of times more seawater than the Earth, weathering could not work efficiently enough to maintain temperate climates (e.g., refs.... |
{'timestamp': '2022-09-30T02:08:08', 'yymm': '2209', 'arxiv_id': '2209.14573', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14573'} | arxiv | \section{Introduction}
Let $k\geq 2$ be a~fixed integer. We recall that $d(n) := \sum_{d\mid n}1$ is the number of divisors of $n$, and $\omega (
n) :=\sum_{p\mid n}1$ is the number of distinct prime | divisors
of $n$. We define the function $D_{k,\omega}(n) $ by
\begin{equation}
D_{k,\omega}(n) :=\frac{d(n)}{k^{\omega
(n)}}.
\end{equation}
Notice that for every fixed integer $k\geq 2$, the function $D_{k,\omega}(n) $ is multiplicative and for every prime number $p$ and
every integer $m$ the relation
\begin{equation}... |
{'timestamp': '2022-09-30T02:06:12', 'yymm': '2209', 'arxiv_id': '2209.14509', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14509'} | arxiv | \section{Introduction}
Supermassive black holes (SMBHs) universally exist in galaxy centers.
Observationally there are fundamental relations between the mass of SMBHs and their host galaxy bulge lu | minosity ($M -$bulge) or stellar dispersion ($M-\sigma$)\citep{Dressler1988ApJ,Kormendy1993nag,Magorrian_1998,Ferrarese_2000,Gebhardt_2000,Kormendy:2013dxa}, which indicates the co-evolution between SMBHs and their host galaxies.
It has been argued that the growth of SMBHs is related to the hierarchical mergers with o... |
{'timestamp': '2022-09-30T02:06:03', 'yymm': '2209', 'arxiv_id': '2209.14502', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14502'} | arxiv | \section{Introduction}\label{sec:intro}
Applications of big data analytics have brought many new opportunities to economic research. With the developments of modern quantitative tools, economists | are now able to analyze datasets that contain tens of millions of observations. One motivation of using datasets with ultra-large sample sizes is to deal with econometric models with a large number of parameters within the framework of simple parametric models. Suppose that there are $d$ parameters to estimate with a s... |
{'timestamp': '2022-09-30T02:08:48', 'yymm': '2209', 'arxiv_id': '2209.14595', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14595'} | arxiv | \section{Introduction} \label{sec:1}
Generally, compact stars are the final stage of the stellar evolution, that could be formed because of the radial pressure from core nuclear fusion that is bigger | that gravitational forces. Gravitational compact objects include many various objects, such as white dwarfs, neutron stars, black holes and naked singularities. Moreover, compact star could also include more exotic objects, such as strange stars (made of strange quarks), gravitational condensate stars (non-singular thr... |
{'timestamp': '2022-10-07T02:11:03', 'yymm': '2209', 'arxiv_id': '2209.14529', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14529'} | arxiv | \section{Introduction}
\label{sec:Introduction}
\begin{figure}[t]
\centering
\includegraphics[width=0.9\linewidth]{Figures/Fig1.pdf}
\caption{ Motion transfer results. (a) is generated by tr | aditional motion transfer model trained on source domain videos only and (b) is generated by our proposed MAA model}
\label{fig:figure-1}
\end{figure}
Given a source image and a driving video of the same object, motion transfer~(\textit{a.k.a.} image animation) aims to generate a synthesized video that mimics t... |
{'timestamp': '2022-09-30T02:08:47', 'yymm': '2209', 'arxiv_id': '2209.14593', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14593'} | arxiv | \section{Introduction}
Sampling from a probability distribution given its score function, i.e., the gradient of the log-density, is an active area of research in machine learning. Its applications ra | nge far and wide, from Bayesian learning \citep{welling2011} to learning energy-based models \citep{song2021ebm}, synthesizing new high-quality data \citep{dhariwal2021}, and so on. Typical examples of traditional score-based samplers are Markov chain Monte Carlo (MCMC) methods such as Langevin dynamics \citep{langevin... |
{'timestamp': '2022-09-30T02:08:11', 'yymm': '2209', 'arxiv_id': '2209.14574', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14574'} | arxiv | \section*{METHOD}
In this work, we investigate magnetotransport properties of 4LG encapsulated by hexagonal boron nitride (hBN). The electronic band structure of 4LG can be characterized by a set of | hopping parameters $\gamma_{0}$-$\gamma_{5}$ [Fig.~$1$(a)] and energy imbalance between dimmer and non-dimmer sites $\delta$~\cite{koshino2011landau}. The low energy band structure of 4LG, shown in Fig.~$1$(b), comprises two BLG-like subbands with different effective masses~\cite{koshino2010interlayer,koshino2011landau... |
{'timestamp': '2022-09-30T02:08:07', 'yymm': '2209', 'arxiv_id': '2209.14570', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14570'} | arxiv | \section{Introduction}
Brownian motion of particles was first observed and described in 1827 by Brown. This random, uncontrolled motion of particles in a fluid, driven by the bombardment of ambie | nt fluid molecules, gives rise to the macroscopic phenomenon of diffusion \citep{Einstein1905On} and convincing evidence of atomistic theory of matter. \citep{Perrin1908Les} These seminal works of Einstein and Perrin entail a fundamental understanding of Brownian motions of rigid spherical particles in a Newtonian ... |
{'timestamp': '2022-09-30T02:08:02', 'yymm': '2209', 'arxiv_id': '2209.14566', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14566'} | arxiv | \section{Introduction}
\let\thefootnote\relax\footnotetext{
$^\ast$ Co-first authors
}
In the clinical diagnosis of vascular diseases, vessel segmentation is necessary to analyze the vessel str | uctures and therapy planning. In particular, when diagnosing coronary artery disease, X-ray angiography is taken to enhance vessel visualization by injecting a contrast agent into the blood vessels \citep{cong2015quantitative}. However, it is challenging to extract vessels accurately due to low contrast, motion artifac... |
{'timestamp': '2022-09-30T02:07:40', 'yymm': '2209', 'arxiv_id': '2209.14554', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14554'} | arxiv | \section{Introduction}\label{introduction and main results}
A central topic in differential geometry is how the curvature conditions restrict the topology. In the case of Ricci curvature (abbreviated | by ``Ric") in K\"{a}hler geometry this principle goes back to Bocher, who proved that (\cite{Bo1}, \cite{Bo2}, \cite{YB}) the condition of $\text{Ric}>0$ or $\text{Ric}<0$ on compact K\"{a}hler manifolds or the existence of K\"{a}hler-Einstein metrics impose heavy restrictions on
their holomorphic tensor fields. Thes... |
{'timestamp': '2022-09-30T02:08:41', 'yymm': '2209', 'arxiv_id': '2209.14590', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14590'} | arxiv | \section{Introduction}
Let $X$ be an integral algebraic variety over a field $F$, i.e. a separated scheme and of finite type over $F$.
The $i$-th unramified cohomology group of $X$ denoted by $H_ | {nr}^{i}(F(X)/F,\mathbb{Q/Z}(j))$ (see section \S \ref{sec:pre} ) is defined by a subgroup of $H^{i}(F(X),\mathbb{Q/Z}(j))$,
which were first introduced by Colliot-Thélène and Ojanguren \cite{colliot1989varietes}.
We will write $\bar{H}_{nr}^{i}(F(X)/F,\mathbb{Q/Z}(j))$ as $H_{nr}^{i}(F(X)/F,\mathbb{Q/Z}(j))/H^{i}(F... |
{'timestamp': '2022-09-30T02:08:07', 'yymm': '2209', 'arxiv_id': '2209.14571', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14571'} | arxiv | \section{Introduction}
\section{Minimum message length}
\label{sec:mml}
Introduced in the late 1960s by Wallace and Boulton, the minimum message length (MML) principle~\cite{WallaceBoulton68, Walla | ceFreeman87, WallaceDowe99a, Wallace05} is a framework for inductive inference rooted in information theory. The key idea underlying MML is that both parameter estimation and model selection problems can be interpreted as examples of data compression. It is well known that a random data string is not compressible. Conv... |
{'timestamp': '2022-09-30T02:08:33', 'yymm': '2209', 'arxiv_id': '2209.14584', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14584'} | arxiv | \section{Literature we should mention/cite}
Quantum computation is a disruptive technology that has irrevocably changed the way that computation is envisioned. It holds the potential for ad | dressing a wide range of computational challenges~\cite{Fedorov2022} from factoring~\cite{shor1994algorithms} and database search~\cite{grover1996fast} to finance~\cite{Herman2022} and machine learning~\cite{Cong2019} problems much more efficiently than what can be achieved by classical machines. Yet, current noisy int... |
{'timestamp': '2022-09-30T02:07:18', 'yymm': '2209', 'arxiv_id': '2209.14542', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14542'} | arxiv |
\section{Introduction}
The detection of gravitational waves (GWs) from black hole mergers gave birth to GW astronomy \citep{abbot16PRL}, while the observation of neutron star merger in gravitati | onal and electromagnetic waves is the prime example of the multi-messenger astronomy \citep{abbott17PRL}. One of the most promising multi-messenger sources that are yet to be detected in GWs are core-collapse supernovae (CCSNe).
CCSNe are the powerful explosions of massive stars at the end of their life. The collaps... |
{'timestamp': '2022-09-30T02:09:42', 'yymm': '2209', 'arxiv_id': '2209.14621', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14621'} | arxiv | \section{Introduction}
\label{sec:intro}
We consider the Schr\"odinger equation with a logarithmic nonlinearity,
\begin{equation} \tag{logGP}
i \partial_t u + \Delta u = \lambda u \ln{\@ifstar{\o | ldabs}{\oldabs*}{u}^2}, \quad
u_{\mid t=0} =u_0, \label{logGP}
\end{equation}
where $x \in \mathbb{R}^d$, $d \geq 1$, $\lambda > 0$, and with the
boundary condition at infinity
\begin{equation*}
\@ifstar{\oldabs}{\oldabs*}{u (t, x)} \rightarrow 1 \quad \text{as} \quad \@ifstar{\oldabs}{\oldabs*}{x} \rightarrow ... |
{'timestamp': '2022-10-06T02:13:22', 'yymm': '2209', 'arxiv_id': '2209.14605', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14605'} | arxiv | \section{Introduction}
Leptoquarks (LQs) are hypothetical particles that can convert quarks into leptons and vice versa with great interest in elementary particle physics. From the theoretical aspect, | it has been predicted naturally by the Pati-Salam unification of quarks and leptons \cite{Pati:1973uk,Pati:1974yy} where leptoquark is first raised as well as many other grand unified theories \cite{Senjanovic:1982ex,Buchmuller:1986iq,Frampton:1991ay,Gershtein:1999gp,Fuentes-Martin:2020pww,King:2021jeo,FernandezNavarr... |
{'timestamp': '2022-09-30T02:09:43', 'yymm': '2209', 'arxiv_id': '2209.14622', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14622'} | arxiv |
\section{Introduction}\label{sec:LJKO2intro}
In this paper we are concerned with the construction of second-order in time discretizations for the following system of PDEs,
describing the time evolut | ion of a density $\rhoe: [0,T]\times \Omega \rightarrow \mathbb{R}_+ $ on a convex bounded domain $\Omega$ and over the time interval $[0,T]$:
\begin{equation}\label{eq:model}
\partial_t \rhoe - \mathrm{div} \left(\rhoe \nabla \frac{\delta \mathcal E}{\delta \rho} (\rhoe) \right) = 0 \quad \text{on } (0,T)\times \Ome... |
{'timestamp': '2022-09-30T02:08:29', 'yymm': '2209', 'arxiv_id': '2209.14579', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14579'} | arxiv | \section{Introduction}
In his paper~\cite{For68} from 1968, Forsythe considered the ``asymptotic directions of the $s$-dimensional optimum gradient method'' or, in modern terms, the asymptotic behavio | r of the conjugate gradient (CG) method~\cite{HesSti52} when restarted every~$s$ steps. Based on what he could prove in the simplest case of restart length $s=1$, and what he observed numerically for $s=2$, Forsythe formulated a conjecture about the behavior of the method for general~$s$. In short, the Forsythe conject... |
{'timestamp': '2020-12-17T02:11:36', 'yymm': '2012', 'arxiv_id': '2012.08779', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08779'} | arxiv | \section{Introduction}
Many model-based computational imaging methods assume that data acquisition can be represented as a linear system of equations, such that
\begin{equation}
\mathbf{b} = \mathbf{ | A}\mathbf{f} + \mathbf{n},
\end{equation}
where $\mathbf{b}$ is the length-$M$ vector of measured data samples, $\mathbf{f}$ is the length-$N$ vector of unknown image voxel values, $\mathbf{A}$ is an $M\times N$ matrix modeling the data acquisition operator, and $\mathbf{n}$ is a length-$M$ vector of additive noise per... |
{'timestamp': '2021-09-22T02:11:22', 'yymm': '2012', 'arxiv_id': '2012.08802', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08802'} | arxiv | \section{Introduction}
\label{intro}
Dense and hot plasma structures are a common sight in the solar corona. These structures are mostly linear (in the sense that their lengths are much longer than th | eir transverse scales) and are believed to trace local magnetic field lines. Some of them are closed, meaning both ends of the structure anchored on the Sun (footpoints) are clearly visible while others that are extended to very large distances concealing their connection from one foot point to other, are considered op... |
{'timestamp': '2020-12-17T02:07:14', 'yymm': '2012', 'arxiv_id': '2012.08697', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08697'} | arxiv | \section{Introduction}\label{sec:introduction}}
\IEEEPARstart{I}{ncreasing} availability and sophistication of digital image editing tools cause a major problem of that we even can not believ | e what we see \cite{liu2018image}. Image forgery is becoming a global epidemic which deeply affects our daily life for that some forgers use elaborately forged images to spread fake news or do other unscrupulous businesses \cite{wu2018busternet}. Copy-move forgery is a kind of image forgery in which one or several regi... |
{'timestamp': '2020-12-17T02:08:59', 'yymm': '2012', 'arxiv_id': '2012.08731', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08731'} | arxiv | \section{Introduction}
Let $n \geq 2$ and $m \geq 2$ be two integers, and let $G_n(m)$ denote the group of $n\times n$ upper triangular matrices with entries in $\mathbb{Z}/m \mathbb{Z}$ and ones alon | g the diagonal. We number the rows of each matrix in $G_n(m)$ from top to bottom. We consider the following Markov chain $(X_t)_{t\geq0}$ on $G_{n}(m)$: $X_t$ is derived from $X_{t-1}$ by picking a row $i \in \{2,\ldots, n\}$ uniformly at random and with probability $1/4$ adding it to row $i-1$, with probability $1/4$ ... |
{'timestamp': '2020-12-17T02:08:27', 'yymm': '2012', 'arxiv_id': '2012.08722', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08722'} | arxiv | \section{Introduction}
Quantum spin liquids (QSLs) represent a novel state of matter in which spins are highly entangled, but do not order nor freeze even in the zero-temperature limit~\cite{Anderson | 1973153,nature464_199}. Such a state does not involve any spontaneous symmetry breaking, which is beyond Landau's paradigm for a phase and the associated transition~\cite{imai2016quantum}. They are proposed to host fractional excitations and emergent gauge structures, and thus are promising candidates for quantum compu... |
{'timestamp': '2020-12-17T02:13:11', 'yymm': '2012', 'arxiv_id': '2012.08815', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08815'} | arxiv | \section{Introduction}
Let $G$ be a group, and let $I=\{\mathcal{C}_1,\dots, \mathcal{C}_k\}$ be a set of conjugacy classes of $G$. We say that $I$ \emph{invariably generates} $G$ if $\langle x_1,\d | ots, x_k \rangle=G$ for all $x_1\in\mathcal{C}_1,\dots, x_k\in\mathcal{C}_k$. The set $I$ is a \emph{minimal invariable generating set} (or \emph{MIG-set} for short) if $I$ invariably generates $G$ and no proper subset of $I$ invariably generates $G$. We let $m_I(G)$ denote the largest possible cardinality of a MIG-se... |
{'timestamp': '2020-12-17T02:10:50', 'yymm': '2012', 'arxiv_id': '2012.08771', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08771'} | arxiv | \section{Introduction} \label{sec:intro}
Apollo-type near-Earth asteroid 2012~TC4 was discovered in October 2012 by the Pan-STARRS1 survey, few days before its closest approach to the Earth (having a | geocentric distance of about 95,000\,km). It was observed photometrically and its rotation period of about 12\,min \citep{Pol:13, War:13b, Odd.ea:13, Car:14} and effective diameter of 7-34 m \citep{Pol:13} were determined. Later, \cite{Rya.Rya:17} noticed also a second period in the data and interpreted it as a manife... |
{'timestamp': '2020-12-17T02:06:56', 'yymm': '2012', 'arxiv_id': '2012.08689', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08689'} | arxiv | \section{Introduction}
Object detection, as a hot topic of computer vision, is to find out the objects of interest on the image and to determine their locations and categories.
In the era of deep lea | rning~\cite{NIPS2012_4824}, many deep convolutional neural network (DNN)-based methods~\cite{girshick2015fast,ren2015faster,Redmon_2016_CVPR,Redmon_2017_CVPR,redmon2018yolov3,liu2016ssd} have been proposed to make the detection models with excellent performance in natural image benchmark datasets~\cite{everingham2010pa... |
{'timestamp': '2020-12-17T02:13:37', 'yymm': '2012', 'arxiv_id': '2012.08826', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08826'} | arxiv | \section{Introduction}
XB 1916-053 is a low-mass X-ray binary system (LMXB) showing dips and type I X-ray bursts. The source was the first LMXB in which periodic absorption dips were detected
\cite | p{Walter_82, White_82}, the analysis of which allowed an orbital period
of 50 min and its compact nature to be estimated.
The optical counterpart of the source (a V=21 star) was discovered by
\cite{Grindlay_88}.
\cite{Swank_84} discussed that the companion star (CS) is not hydrogen exhausted by analyzing th... |
{'timestamp': '2020-12-17T02:13:51', 'yymm': '2012', 'arxiv_id': '2012.08831', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08831'} | arxiv | \section*{Introduction}
Materials crystallizing in the perovskite structure attract attention in many fields due to their high tunability and the resulting, broad spectrum of physical and chemica | l properties \cite{hwang2017perovskites,zhu2014perovskite,ha2011adaptive}. Most applications of these materials rely on their surfaces and interfaces. The ternary chemical composition of perovskites allows for many different surface terminations \cite{erdman2003surface, kienzle2011vacant} with dramatically different c... |
{'timestamp': '2021-11-01T01:23:34', 'yymm': '2012', 'arxiv_id': '2012.08730', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08730'} | arxiv |
\section{Experiments}
\label{sec:evaluation}
In this section we evaluate the proposed algorithm.
First, we present the datasets and evaluation metrics used (Section~\ref{sec:experim:datasets}).
Se | cond, we provide both quantitative and qualitative results on several datasets %
and compare against state-of-the-art baselines (Section~\ref{sec:experim:quantitative}).
Third, we justify the choice of parameters (Section~\ref{sec:experim:ablation}).
Finally, we analyze the computational efficiency of our implementatio... |
{'timestamp': '2021-05-07T02:26:17', 'yymm': '2012', 'arxiv_id': '2012.08785', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08785'} | arxiv | \section{Introduction}
Direct detection of gravitational waves and images of black hole shadows ushers in a golden era of black hole astronomy. At present, these extreme stellar objects serve as our b | est candidates for testing fundamental quantum gravity theories, such as loop quantum gravity (LQG). LQG, being a non-perturbative approach to quantum gravity, goes beyond general relativity to resolve classical singularities in cosmological and (non-rotating) black hole spacetimes and, in this work, we extend similar ... |
{'timestamp': '2021-03-30T02:21:28', 'yymm': '2012', 'arxiv_id': '2012.08734', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08734'} | arxiv | \section{Introduction}
GNNs \cite{scarselli2008graph}, especially graph convolutional networks \cite{bruna2013spectral,henaff2015deep} have demonstrated remarkable performance in modeling structured | data in a wide variety of fields, such as social networks \cite{kipf2016semi,hamilton2017inductive, li2019semi} and graph-based representations of molecules \cite{gilmer2017neural,rong2020self}.
The common practice is to recursively update node embeddings by aggregating (or message passing) information from topologica... |
{'timestamp': '2020-12-17T02:11:33', 'yymm': '2012', 'arxiv_id': '2012.08777', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08777'} | arxiv |
\section{Conclusions}
\label{sec:conclusions}
We explored the
To achieve this, a future research direction would be to not just model but also predict cross-device behaviour.
\section{Int | roduction}
\label{sec:introduction}
Information retrieval (\acs{IR}\acused{IR}) technology is at the heart of today's e-commerce platforms, in the form of search engines, recommenders, and conversational assistants that connect users to the products they may be interested in~\citep{rowley2000product}.
To help improve ... |
{'timestamp': '2020-12-17T02:07:57', 'yymm': '2012', 'arxiv_id': '2012.08709', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08709'} | arxiv | \section{Introduction}
Let us consider a vortex sheet $\omega$: a weak solution of the 2D Euler equation concentrated on a simple closed curve $\Gamma:=\left\{ z(\theta,t) \in \R^2 : \theta \in \mat | hbb{T} \right\}$ with vortex-sheet strength $\gamma(\theta,t)$, that is, for all test functions $\varphi \in C^{\infty}_c(\R^2)$, it holds that
\begin{align*}
\int_{\R^2} \varphi(x)d\omega(x,t) = \int_{-\pi}^{\pi} \varphi(z(\theta,t)) \gamma(\theta,t)d\theta.
\end{align*}
Note that the evolution of $z$ and $\gamma... |
{'timestamp': '2020-12-17T02:07:37', 'yymm': '2012', 'arxiv_id': '2012.08704', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08704'} | arxiv |
\section{Detailed Results of Greedy Attack} \label{appendix: greedy}
\begin{figure*}
\centering
\begin{subfigure}{.24\textwidth}
\centering
\includegraphics[width=1\textwidth, height=0.7\textwi | dth]{figures/warning_lights_MIO-10_greedy.png}
\caption{The warning lights.}
\label{fig:MIO-10_warning_greedy}
\end{subfigure}%
\hfill
\begin{subfigure}{.24\textwidth}
\centering
\includegraphics[width=1\textwidth, height=0.7\textwidth]{figures/distance_measurement_MIO-10_greedy.png}
\caption{The manipulat... |
{'timestamp': '2021-05-27T02:19:47', 'yymm': '2012', 'arxiv_id': '2012.08769', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08769'} | arxiv | \section{Introduction}
The diagnostic process of dementia is challenging and takes a substantial period of time after the first clinical symptoms arise: on average 2.8 years in late-onset and 4.4 yea | rs in young-onset dementia \citep{vanvliet2013}. The window of opportunity for advancing the diagnostic process is however much larger than these few years. For Alzheimer's disease (AD), the most common form of dementia, there is increasing evidence that disease processes start 20 years or more ahead of clinical sympto... |
{'timestamp': '2021-04-28T02:05:56', 'yymm': '2012', 'arxiv_id': '2012.08680', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08680'} | arxiv |
\section*{Acknowledgment}
We thank our shepherd Lorenzo Cavallaro and the anonymous reviewers for their constructive and valuable feedback.
This work is sponsored in part by NSF grants CCF-18-45893 | , CCF-18-22965, CCF-16-19123, CNS-18-42456, CNS-18-01426, CNS-16-18771, CNS-16-17670, CNS-15-64055, and CNS-15-63843; ONR grants N00014-17-1-2010, N00014-16-1-2263, and N00014-17-1-2788; an NSF CAREER award; an ARL Young Investigator (YIP) award; a Google Faculty Fellowship; a JP Morgan Faculty Research Award; a DiDi F... |
{'timestamp': '2021-03-03T02:25:39', 'yymm': '2012', 'arxiv_id': '2012.08702', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08702'} | arxiv | \section{Introduction}
Quantum key distribution (QKD) enables two remote network users to exchange provably-secure keys when it is implemented faithfully~\cite{lo2014secure,Diamanti2016,XuRMP2020}. To | ensure implementation security, the research community has been focusing on the security of practical systems in recent years,
developing methods to narrow the gap between the theory and practice of QKD.
On the theoretical side, robust QKD protocols have been proposed, which not only make practical systems more secur... |
{'timestamp': '2021-04-29T02:21:30', 'yymm': '2012', 'arxiv_id': '2012.08708', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08708'} | arxiv | \section{I. Introduction}
Strongly correlated systems with orbital degrees of freedom exhibit interesting phenomena, with the Kondo effect \cite{Kondo1964}, which is the many-body phenomenon arising f | rom an antiferromagnetic interaction between a conduction electron and a localized magnetic moment, as a prominent example. It was originally studied in the context of the enhancement of the resistivity in magnetic alloys at low temperature, and it is now a ubiquitous problem in condensed matter physics. Also, the Kond... |
{'timestamp': '2020-12-17T02:13:09', 'yymm': '2012', 'arxiv_id': '2012.08810', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08810'} | arxiv | \section{INTRODUCTION}
Although interest in topological data analysis has grown sharply in recent years, most of the important developments have appeared outwith the statistical literature. We sugg | est that a consequence is that the potential benefits of adapting some established statistical methods to topological data may not have been fully exploited. In this paper we argue that event history methods are highly suitable for the analysis of data on certain topological features, that the use of such methods can ... |
{'timestamp': '2020-12-17T02:13:02', 'yymm': '2012', 'arxiv_id': '2012.08809', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08809'} | arxiv | \section{\label{Introduction}Introduction}
Although FL is born for high efficient distributed model building, it’s not as efficient enough as we thought. Many existing methods may perform well for II | D data setting, but non-ideal for non-IID data setting. In these methods,thier continuous global model sharing strategy, which makes them over focusing on global data distribution fitting but ignoring local data distribution. In FL, the methodology for this kind of problem is called personalization. To improve the pers... |
{'timestamp': '2020-12-17T02:07:14', 'yymm': '2012', 'arxiv_id': '2012.08699', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08699'} | arxiv | \section{Introduction}
The classical Kida's formula relates the $\la$-invariants of CM-extensions of cyclotomic $\Zp$-extensions of number field (see \cite{Ki}; also see \cite{Iw}). An analogue of | this formula for Selmer groups of elliptic curves was later discovered by Hachimori-Matsuno \cite{HM}. Subsequently, this has been generalized to Selmer groups of ordinary modular forms and more general Galois representations (for instances, see \cite{CDLSS,PW06}). A common phenomenon in deriving such a formula is that... |
{'timestamp': '2022-06-28T02:15:57', 'yymm': '2012', 'arxiv_id': '2012.08766', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08766'} | arxiv | \section{ Introduction }
In the present paper,
we shall begin with introducing one-dimensional weighted Hardy's inequalities with sharp remainders under one-sided boundary condition.
As weights | we shall deal with the so-called non-doubling weights in addition to usual doubling ones.
Then we shall establish $N$-dimensional weighted Hardy's inequalities with non-doubling
weights of the distance $\delta(x):= { \rm dist}(x,\partial\Omega)$ to the boundary $\partial\Omega$, where
$\Omega$ is a $C^... |
{'timestamp': '2021-04-02T02:18:32', 'yymm': '2012', 'arxiv_id': '2012.08761', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08761'} | arxiv | \section{Introduction}
The recent rapid progress of information technologies,
including machine learning,
has led to studies on novel computing concepts and hardware,
such as neuromorphic processing | \cite{Markovic2020,Rabinovich2006,Furber2016,Merolla2014,Feldmann2019,Tait2017},
reservoir computing \cite{Versraeten2007,Jaeger2004,Tanaka2019,Appeltant2011,Brunner2013,Inubushi2020},
and deep learning \cite{LeCun2015,Xu2018,Lin2018,Shen2017}.
In particular, deep learning has become a groundbreaking
tool for data ... |
{'timestamp': '2020-12-17T02:11:21', 'yymm': '2012', 'arxiv_id': '2012.08775', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08775'} | arxiv | \section{Introduction}
Considerable efforts are being made to detect the Warm-Hot Intergalactic Medium (WHIM) in various bands of the electromagnetic spectrum. Detecting radio synchrotron emission fr | om intercluster filaments or bridges could provide a new probe of the WHIM and could also shed light on mechanisms of particle acceleration and magnetic fields in a poorly studied environment \citep{2019A&A...627A...5V}.
The magnetic field in the WHIM is less likely to be affected by a small-scale dynamo or by outflow... |
{'timestamp': '2022-11-22T02:19:55', 'yymm': '2012', 'arxiv_id': '2012.08759', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08759'} | arxiv | \section{Introduction}
Asymptotic freeness in the large dimension limit of independent GUE random matrices is a fundamental phenomenon discovered by Voiculescu
in the nineties \cite{MR1094052}. It | allows us to
understand the spectrum of non-commuting polynomials in independent
random matrices in the limit of large dimensions and under very general assumptions.
Subsequently, Voiculescu proved that independent Haar unitary random matrices are almost surely asymptotically free as the dimension goes to infinity
\... |
{'timestamp': '2020-12-17T02:11:34', 'yymm': '2012', 'arxiv_id': '2012.08778', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08778'} | arxiv |
\section{Introduction}
Consider a compact Riemannian manifold $(M,g)$, an open subset $\omega\subseteq M$ and the \textit{Laplace-Beltrami} operator (or simply the Laplacian) $\Delta$ on $M$ associat | ed to the metric $g$. Since $-\Delta$ is a non-negative self-adjoint operator on $L^2(M)$, it is possible to define the fractional Laplacian $(-\Delta)^{\alpha/2}$ for $\alpha>0$ using the spectral theorem.
In this article we are interested in understanding the validity of various observability estimates associated t... |
{'timestamp': '2020-12-18T02:21:29', 'yymm': '2012', 'arxiv_id': '2012.08818', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08818'} | arxiv | \section*{Abstract}
The Generalised Differential Image Motion Monitor (GDIMM) was proposed a few years ago as a new generation instrument for turbulence monitoring. It measures integrated parameters o | f the optical turbulence, i.e the seeing, isoplanatic angle, scintillation index, coherence time and wavefront coherence outer scale. GDIMM is based on a fully automatic small telescope (28cm diameter), equipped with a 3-holes mask at its entrance pupil. The instrument is installed at the Calern observatory (France) an... |
{'timestamp': '2020-12-17T02:13:26', 'yymm': '2012', 'arxiv_id': '2012.08820', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08820'} | arxiv | \section{Introduction}
Many generations of astronomers
have been seraching for
the possible existence of
exoplanets before the end of twentieth century
(Briot \& Schneider 2018)
with the discovery of | 51 Peg b (Mayor \& Queloz 1995).
Since then, exoplanetary science has witnessed
a boom that has made it
one of the most studied branches of astronomy.
Although the initial success in discovering exoplanets came from
the results of the Doppler method, the transit method has
played the most dominating role in discover... |
{'timestamp': '2021-03-31T02:23:07', 'yymm': '2012', 'arxiv_id': '2012.08728', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08728'} | arxiv | \section{Introduction}
\subsection{Classical story}
Given a negative integer $d$ with $d\equiv 0 \text{ or } 1 \bmod 4$, let $h(d)$ be the proper ideal class number of the imaginary quadratic order $ | \mathcal{O}_d$ with discriminant $d$. Put $w(d):=\#(\mathcal{O}_d^\times)/2$.
The classical Kronecker-Hurwitz class number relation says that for a non-square $n \in {\mathbb N}$,
\begin{eqnarray}\label{eqn: HCNR}
\sum_{\subfrac{t \in {\mathbb Z}}{t^2< 4n}}\left(\sum_{\subfrac{d \in {\mathbb N}}{d^2\mid (t^2-4n)}}\frac... |
{'timestamp': '2020-12-17T02:09:08', 'yymm': '2012', 'arxiv_id': '2012.08737', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08737'} | arxiv |
\section{Dendrogram analysis}
In addition to visual identification of substructures towards the prestellar core G205-M3 (see Fig~\ref{fig2}, panel d),
we also show the identification of the substruc | tures with the dendrogram analysis, which is often employed in identifying and labeling clumpy structures \citep{Rosolowsky2008,Pineda2015}.
We ran the dendrogram algorithm with min\_value =4$\sigma$ (minimum intensity considered in the analysis) and min\_delta= 2$\sigma$(minimum spacing between isocontours).
Two subs... |
{'timestamp': '2021-07-20T02:05:49', 'yymm': '2012', 'arxiv_id': '2012.08691', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08691'} | arxiv | \section*{Author Biographies}
\begingroup
\setlength\intextsep{0pt}
\begin{minipage}[t][6.3cm][t]{1.0\textwidth}
\begin{wrapfigure}{L}{0.25\textwidth}
\includegraphics[width=0.25\textwidt | h]{john_smith.eps}
\end{wrapfigure}
\noindent
{\bfseries John Smith} received his BSc (Mathematics) in 2000 from The University of Maryland. His research interests include lasers and optics.
\end{minipage}
\begin{minipage}{1.0\textwidth}
\begin{wrapfigure}{L}{0.25\textwidth}
\includegraphics[width=0... |
{'timestamp': '2021-07-15T02:24:41', 'yymm': '2012', 'arxiv_id': '2012.08681', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08681'} | arxiv |
\section*{Acknowledgments}
\label{sec:acknowledgments}
The authors thank Justin Owen for his insightful feedback.
This paper describes objective technical results and analysis. Any subjective views | or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government.
Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC, a wholly owned subsi... |
{'timestamp': '2021-10-04T02:07:01', 'yymm': '2012', 'arxiv_id': '2012.08683', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08683'} | arxiv | \section{Introduction
Let $K$ be a global field.
The zeta function of $K$ is an important invariant of $K$, encoding information about the places of $K$.
By classical work of Gassmann, the zeta fu | nction of $K$ alone does not determine $K$; for example, Gassmann produces non-isomorphic number fields with the same zeta function \cite{gassmann}. Similarly, Tate has shown that two function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous \cite{tate}. It is ... |
{'timestamp': '2020-12-17T02:08:18', 'yymm': '2012', 'arxiv_id': '2012.08718', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08718'} | arxiv | \section{Introduction}
\subsection{Mobile Edge Computing}
\label{MEC}
The exponential growth in smart device adoption is accelerating the ubiquitous Internet of Things (IoT) \cite{7488250, 7786106}, | and catalyzing the development of computation-intensive applications, including augmented reality (AR), face recognition, interactive online gaming, and autonomous driving.
However, a computationally tedious task is unlikely to be executed at the local mobile device due to its resource constraint. Instead, such tasks ... |
{'timestamp': '2021-07-13T02:12:32', 'yymm': '2012', 'arxiv_id': '2012.08743', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08743'} | arxiv | \section{Introduction}
Neural Machine Translation (NMT) \cite{Bahdanau2015} has achieved state of the art in various MT systems, including rich and low resource language pairs \cite{Edunov2018, Gu201 | 9, ngo2019}.
However, the quality of low-resource MT is quite unpretentious due to the lack of parallel data while it has achieved better results on systems of the available resource. Therefore, low-resource MT is one of the essential tasks investigated by many previous works \cite{ Ha2016, Lee2016, senrich2019}.
Re... |
{'timestamp': '2021-01-22T02:02:36', 'yymm': '2012', 'arxiv_id': '2012.08782', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08782'} | arxiv | \section{Introduction}
In all areas, such as banks, government applications, the pharmaceutical
sector, military organisations, educational establishments, etc., security issues are growing today. G | overnment institutions set guidelines, pass regulations, and compel organizations and
agencies to conform with these standards, with wide-ranging implications of non-compliance.
In these various and varied industries with a common weak link being passwords, there are many challenges when it comes to security issues. To... |
{'timestamp': '2020-12-17T02:10:08', 'yymm': '2012', 'arxiv_id': '2012.08754', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08754'} | arxiv | \section{Introduction}
At the end of this year, the largest national optical telescope, Big Telescope Azimuthal (BTA), with a 6-meter primary mirror marks its 45th anniversary, counting from the dat | e of signature of the certificate by the interagency acceptance committee on December 30, 1975. Figure~1 shows the copies of the first images that were obtained with the BTA and confirmed the compliance of its parameters with the design characteristics. Until 1993, the BTA had been the largest telescope in the world, n... |
{'timestamp': '2020-12-17T02:09:27', 'yymm': '2012', 'arxiv_id': '2012.08745', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08745'} | arxiv | \section{\label{sec:level1}Introduction}
\begin{figure}
\vspace{-5mm}
\centering
\includegraphics[width=3in]{HOM_cancelling_4.pdf}
\caption{Hong-Ou-Mandel effect. Two identical photons are sent i | nto different beam splitter input ports. There are four possible outcomes, two photons leaving one port, two photons leaving the other port, each photon reflecting to give single photons at each exit, and both transmitting to give single photons at each port. The coincidence terms cancel out since they are identical bu... |
{'timestamp': '2020-12-17T02:11:48', 'yymm': '2012', 'arxiv_id': '2012.08783', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08783'} | arxiv | \section{Introduction}\label{section intro}
The lifting of representations between reductive algebraic groups plays an important role in representation theory.
The endoscopic transfer in Langlands fu | nctionality and the theta correspondence in Howe's reductive dual pairs are primary examples.
Dirac operators are employed for geometric construction of discrete series by Parthasarathy \cite{P}, Atiyah and Schmid \cite{AS}, and tempered representations by Wolf \cite{W}. In the late 1990's, Vogan made a conjecture on... |
{'timestamp': '2020-12-17T02:07:43', 'yymm': '2012', 'arxiv_id': '2012.08707', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08707'} | arxiv | \section{Introduction}\label{sect:intro}
Generally, capturing high-quality images in dim light or back light conditions is challenging, since insufficient lighting can significantly degrade the visibi | lity of images. Especially the lost details and low contrast would not only cause unpleasant subjective perceptions, but also hurt the performance of back-end computer vision systems which are designed for normal-light images. Though modern imaging sensors can automatically set high ISO, long exposure, and flash accord... |
{'timestamp': '2020-12-17T02:08:27', 'yymm': '2012', 'arxiv_id': '2012.08723', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08723'} | arxiv |
\section{Introduction}
Machine learning models are shown to be susceptible to various types of adversarial attacks targeted to degrade the performance of machine learning models. Research in adversar | ial machine learning has mostly focused on targeting accuracy as a measure \cite{chakraborty2018adversarial,li2018security}. However, with the advancement of research in fair machine learning, attention has geared toward fairness measures and their importance. A broad area of research has arisen by proposing different ... |
{'timestamp': '2021-07-15T02:18:44', 'yymm': '2012', 'arxiv_id': '2012.08791', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08791'} | arxiv | \section{Introduction} \label{sec-introduction}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{./fig01.pdf}
\caption{Mean rank of {\textsc{MiniRocket}} in terms of accuracy versus other | SOTA methods over 30 resamples of 109 datasets from the UCR archive.}
\Description[In terms of accuracy, Apricot ranks just ahead of Rocket, but behind both TS-CHIEF and HIVE-COTE/TDE]{In terms of accuracy, Apricot ranks just ahead of Rocket, but behind both TS-CHIEF and HIVE-COTE/TDE. Apricot is in the same clique a... |
{'timestamp': '2021-11-23T02:23:42', 'yymm': '2012', 'arxiv_id': '2012.08713', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08713'} | arxiv | \section{Introduction}
\label{sec:intro}
Criminal activities have become a major social problem due to their adverse effect on human life, economy and safety. The availability of crime data in recent | years has enabled researchers to develop models for crime prediction. The government and responsible authorities can take preventive measures if they know about a crime event in advance. Knowing the insight behind the prediction of a crime occurrence would allow them to plan preventive measures appropriately and keep t... |
{'timestamp': '2020-12-23T02:01:37', 'yymm': '2012', 'arxiv_id': '2012.08682', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08682'} | arxiv | \section{Introduction}\label{sec.Introduction}
Age-of-Information (AoI) is a performance metric that captures the freshness of the information from the perspective of the destination. AoI measures th | e time that elapsed since the generation of the packet that was most recently delivered to the destination. This performance metric has been receiving attention in the literature \cite{Book_AoI_17,Book19,yates2020age} for its application in communication systems that carry time-sensitive data. In this paper, we conside... |
{'timestamp': '2021-12-06T02:26:52', 'yymm': '2012', 'arxiv_id': '2012.08789', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08789'} | arxiv | \section{Introduction}
\label{section:introduction}
Transformer models~\citep{vaswani2017attention} pre-trained by language modeling tasks are very powerful on a wide variety of NLP tasks~\citep{devl | in2018bert, liu2019roberta}.
However, the convergence efficiency of language pre-training methods hasn't been improved much~\citep{li2020train, kaplan2020scaling}.
Given finite amount of time and computing resources, language pre-training methods can be very under-trained~\citep{liu2019roberta}. Therefore unlike most... |
{'timestamp': '2021-02-04T02:10:02', 'yymm': '2012', 'arxiv_id': '2012.08710', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08710'} | arxiv | \section{Introduction} \label{sec:int}
As the reconfiguration of magnetic field geometry, magnetic reconnection plays an elemental role in magnetized plasma systems, e.g., the solar and stellar coron | ae and planetary magnetospheres, throughout the university \citep{2000mrmt.conf.....P}. It is used to explain the release of magnetic energy and its conversion to other forms, such as thermal and kinetic energy \citep{2010RvMP...82..603Y}. In solar physics, numerous theoretical studies of magnetic reconnection have bee... |
{'timestamp': '2020-12-17T02:10:20', 'yymm': '2012', 'arxiv_id': '2012.08756', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08756'} | arxiv | \section{Introduction}
Star-forming regions in the Galaxy are distributed in a complex web of filaments that resemble a highly hierarchical network \cite[e.g.][]{2018A&A...610A..77H, 2010A&A...518 | L.100M, 2010A&A...518L.102A}. While open clusters are typically found in the densest parts of the structure, nearly 90\% of newborn stars become gravitationally unbound soon after the birth due to their dynamic interactions. Such loose ensembles of dispersing coeval stars are observed as stellar associations that keep ... |
{'timestamp': '2020-12-17T02:13:45', 'yymm': '2012', 'arxiv_id': '2012.08830', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08830'} | arxiv | \section{Adding nodes and edges through Named-Entity Recognition}
\mysection{Named-Entity Recognition}
\label{sec:entity-extraction}
We enrich our graphs by leveraging Machine Learning (ML) tools for | Information Extraction.
{\em Named entities} (NEs) \cite{nadeau2007ner} are words or phrases which, together, designate certain real-world entities. Named entities include common concepts such as people, organizations, and locations.
The {\em Named-Entity Recognition} (NER) task consists of $(i)$~identifying NEs in ... |
{'timestamp': '2020-12-17T02:12:11', 'yymm': '2012', 'arxiv_id': '2012.08790', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08790'} | arxiv | \section{Acknowledgement}
We would like to thank the anonymous reviewers for their helpful comments. The work was supported by NSF DBI-1565137, DGE-1829071, NIH R35-HL135772, NSF III-1705169, NSF CARE | ER Award 1741634, NSF \#1937599, DARPA HR00112090027, Okawa Foundation Grant, and Amazon Research Award.
{ \small
\section{Related Work}
\subsection{Clinical Temporal Relation Extraction}
\noindent \textbf{Corpora. }
Different from the datasets in the news domain~\cite{pustejovsky2003timebank,AQUAINT}, the corpor... |
{'timestamp': '2020-12-17T02:10:21', 'yymm': '2012', 'arxiv_id': '2012.08758', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08758'} | arxiv | \section{Introduction}
\subsection{Astrophysical background}
Nearly all astrophysical objects, ranging from planets,
accretion disks, stars and galaxies to the intergalactic
medium, host magnetic f | ields coherent over the largest
scales of the system. At the same time, the matter in
which the magnetic fields originate, is in a vigorously
turbulent state, and often the driving scale of the
turbulence is at small or intermediate scales with
respect to the system scale
\citep[see, e.g.,][]{rincon2019}.
Hence, a the... |
{'timestamp': '2021-11-25T02:08:19', 'yymm': '2012', 'arxiv_id': '2012.08729', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08729'} | arxiv | \section{abstract}
This paper argues that data of strategic individuals with heterogeneous privacy valuations in a distributed online social network (e.g., Facebook) will be under-priced, if traded in | a monopoly buyer setting, and will lead to diminishing utilitarian welfare. This result, for a \textit{certain family} of online community data trading problems, is in stark contrast to a popular information economics intuition that increased amounts of end-user data signals in a data market improves its efficiency. O... |
{'timestamp': '2020-12-17T02:09:34', 'yymm': '2012', 'arxiv_id': '2012.08749', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08749'} | arxiv | \section{Proof of Theorem \ref{thm:master_W2}}\label{sec proof thm 1}
\noindent\textbf{Notation.}~For the reader's convenience, we recall some necessary notation from Section \ref{sec main}. We say | that a function $f:\mathbb{R}^m\rightarrow\mathbb{R}$ is pseudo-Lipschitz of order $k$, denoted $f\in\rm{PL}(k)$, if there is a constant $L>0$ such that for all $\vct{x},\vct{y}\in\mathbb{R}^m$,
$
|f(\vct{x}) - f(\vct{y})|\leq L(1+\tn{\vct{x}}^{k-1}+\tn{\vct{y}}^{k-1})\|\vct{x}-\vct{y}\|_2
$
(See also Section \ref{SM ... |
{'timestamp': '2020-12-17T02:09:30', 'yymm': '2012', 'arxiv_id': '2012.08747', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08747'} | arxiv |
\section{Central least square estimation of level set gradients}
\label{sec:central_least_square}
The second term in equation~(\ref{eq:reinit_new}) involves computation
of level set gradient terms.
\ | begin{equation}
\lvert \nabla \psi \rvert_i = \sqrt{\left(\frac{\partial \psi}{\partial
x} \right)_i +
\left(\frac{\partial \psi}{\partial y} \right)_i}
\end{equation}
These terms are evaluated here using central least square approach.
In order to construct cell center derivatives, a stencil consisting of
verte... |
{'timestamp': '2021-03-08T02:31:31', 'yymm': '2012', 'arxiv_id': '2012.08701', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08701'} | arxiv | \section{Introduction} \label{sec;introduction}
Space-time finite element methods are a promising approach for producing highly accurate and efficient solutions to partial differential equations (PDE | s). More specifically, these methods can adaptively redistribute their degrees of freedom in both space and time in order to optimally resolve critical features of the solution. Despite their potential, the application of these methods to real-world engineering problems remains an open area of research. While one may ... |
{'timestamp': '2022-03-21T01:04:35', 'yymm': '2012', 'arxiv_id': '2012.08726', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08726'} | arxiv | \section{Introduction}
\vspace{-8pt}
Over the recent eight years, deep generative models have demonstrated stunning performance in generating photorealistic images, considerably boosted by the revolu | tionary technique of generative adversarial networks (GANs)~\citep{gan14nips,radford2015dcgan,gulrajani2017wgan,miyato2018spectral,brock2018BigGAN,karras2017ProGAN,karras2019StyleGAN,karras2019StyleGAN2}.
However, with the closing margins between real and fake, a flood of strong concerns arise~\citep{harris2018deepfak... |
{'timestamp': '2020-12-17T02:08:17', 'yymm': '2012', 'arxiv_id': '2012.08717', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08717'} | arxiv | \section{Introduction}
Deep neural networks (DNNs) have achieved an outstanding performance for various learning tasks such as speech recognition, image classification, and visual object recognition e | tc.\cite{lecun2015deep}.
It is well known that DNNs can apprioximate almost any nonlinear functions and make end-to-end learning possible \cite{mallat2016understanding, RaghuPKGS17}.
Most recently, there has been a surge of interest in graph neural networks (GNNs) since they can capture the dependency of graphs by acco... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.