meta stringlengths 97 612 | red_pajama_subset stringclasses 4
values | prompt stringlengths 1 200 | answer stringlengths 0 518k |
|---|---|---|---|
{'timestamp': '2021-06-24T02:03:28', 'yymm': '2012', 'arxiv_id': '2012.08740', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08740'} | arxiv | \section{TRNNGCN}
\begin{algorithm}[!h]
\SetAlgoLined
\SetKwInOut{Input}{Input}
\SetKwInOut{Output}{Output}
\Input{Temporal graph $(A_1,A_2,...,A_T)$,\\ Membership matrix of training data $\Theta | _T^{train}$}
\Output{Membership matrix estimate $\hat{\Theta}_T$}
$\hat{A}=A_0$, $H_0=I_N$\;
\For{\text{iteration} $i=1,...,I$}{
\For{$ t=2,...,T$ }{
$ \hat{A}_t=(1-\hat{\Theta}_{i-1} \Lambda (\hat{\Theta}_{i-1})^T) \circ \hat{A}_{t-1}+\hat{\Theta}_{i-1} \Lambda (\hat{\Theta}_{i-1})^T \circ \hat{A}_t.$}
$H... |
{'timestamp': '2020-12-17T02:06:55', 'yymm': '2012', 'arxiv_id': '2012.08688', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08688'} | arxiv | \section{Introduction}
\subsection{A few auxiliary notions}
\textbf{Complemented subspaces in Banach spaces.}
Let $X$ be a real or complex Banach space.
By a subspace of $X$ we will mean a linear su | bset of $X$.
Let $M$ be a subspace of $X$.
$M$ is said to be complemented in $X$
if there exists a subspace $N$ (a complement) such that
$X$ is the topological direct sum of $M$ and $N$.
This means that the sum operator $S:M\times N\to X$
defined by $S(x,y)=x+y$, $x\in M, y\in N$ is an isomorphism
(of normed linear... |
{'timestamp': '2020-12-17T02:10:35', 'yymm': '2012', 'arxiv_id': '2012.08765', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08765'} | arxiv | \section{Introduction}
Let $G$ be a finite group and ${{\operatorname{Irr}}}(G)$ the set of its ordinary irreducible
characters. Frobenius showed the classical formula
$$\sum_{\chi\in{{\operatorname{ | Irr}}}(G)}\chi(1)^2=|G|$$
for the dimensions of the irreducible complex representations of $G$.
No analogue of this equation is known in the modular setting, that is, for the
set ${{\operatorname{IBr}}}(G)$ of irreducible $p$-Brauer characters of $G$, when $p$ is a prime
dividing $|G|$. In 2005, Willems \cite{Wi05} put... |
{'timestamp': '2021-01-05T02:27:41', 'yymm': '2012', 'arxiv_id': '2012.08750', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08750'} | arxiv | \section{Introduction}
Understanding the orbital magnetization in crystalline solids is among the
most important objectives of orbitronics \cite{Zhang2005,Go2017,Bhowal2020}.
Unlike its spin companio | n, the orbital magnetization of Bloch electrons in the
absence of external perturbations is already hard to access quantum
mechanically, as it does not correspond to a bounded operator. This
nonlocality is finally accounted for by a Berry phase formula
\cite{Xiao2005,Resta2005,Shi2007} that gives significantly distinct... |
{'timestamp': '2020-12-17T02:13:09', 'yymm': '2012', 'arxiv_id': '2012.08811', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08811'} | arxiv | \section{Introduction}
The \ac{iot} provides a number of benefits,
to consumers as well as business organisations.
Flexibility and ease of use,
coupled with low management overhead and cost make it a | desirable concept.
Smart cities,
for example,
can benefit from \ac{iot} solutions~\cite{formisano2015advantages},
as well as cloud applications~\cite{nastic2014provisioning}.
For business organisations,
logistics and asset management can be aided by the \ac{iot}~\cite{ding2013study}.
The \ac{iot} is characterised by it... |
{'timestamp': '2020-12-17T02:08:14', 'yymm': '2012', 'arxiv_id': '2012.08716', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08716'} | arxiv | \section{Introduction}\label{Sec:Intro}
Experimental advances in studying the non-equilibrium dynamics of isolated quantum-many-body systems have in recent years led to the quest for a better theoret | ical understanding of such dynamics.
Systems of interest in this context include ultracold Bose gases \cite{Anderson2001a,Eiermann2004a,Sadler2006a,Weller2008a.PRL101.130401,Weiler2008a,Neely2010a},
semi-conductor exciton–polariton
superfluids \cite{Kasprzak2006a.etal,Lagoudakis2008a,Lagoudakis2009a,Amo2011a,roumpos... |
{'timestamp': '2020-12-17T02:06:49', 'yymm': '2012', 'arxiv_id': '2012.08685', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08685'} | arxiv | \section{Introduction}
Finite dimensional Alexandrov spaces with lower curvature bound
can be viewed as a generalization of Riemannian manifolds with lower sectional curvature bound
(\cite{BGP}). Com | pared to Riemannian manifolds, Alexandrov spaces might have some singularities,
so that some important subsets appear as some kinds of analogues of totally geodesic submanifolds,
such as convex subsets, extremal subsets and quasi-geodesics ([PP1-2]). Recently,
such a kind of subsets named quasi-convex subsets has been... |
{'timestamp': '2020-12-17T02:12:12', 'yymm': '2012', 'arxiv_id': '2012.08792', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08792'} | arxiv | \section{Introduction}
\subsection{Introduction and statement of the main results}
We consider the nonlinear Korteweg-de Vries (KdV) equation in a bounded interval $(0, L)$ equipped with the Dirichle | t boundary condition and the Neumann boundary condition on the right:
\begin{equation}\label{KdV-NL}\left\{
\begin{array}{cl}
u_t (t, x) + u_x (t, x) + u_{xxx} (t, x) + u (t,x) u_x (t, x) = 0 & \mbox{ for } t \in (0, +\infty), \, x \in (0, L), \\[6pt]
u(t, x=0) = u(t, x=L) = u_x(t , x= L)= 0 & \mbox{ for } t \in (0... |
{'timestamp': '2021-12-17T02:18:36', 'yymm': '2012', 'arxiv_id': '2012.08808', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08808'} | arxiv | \section{Introduction and notations}
As this article deals with log-concave random variables and probability density functions, we first recall basic definitions and properties:
\begin{defi}
A densi | ty $f : \mathbb{R} \rightarrow \mathbb{R}_+$ is said to be log-concave if it satisfies the following inequality:
\begin{equation*}
\forall x,y \in \mathbb{R}, \forall \theta \in [0,1], f(\theta x + (1 - \theta) y) \geq f(x)^{\theta} f(y)^{1 - \theta}.
\end{equation*}
A real-valued random variable $X$ is said to be log... |
{'timestamp': '2020-12-17T02:13:28', 'yymm': '2012', 'arxiv_id': '2012.08822', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08822'} | arxiv | \section{Introduction}
Robots are predicted to increasingly participate in everyday life of humans over the next decade, but so far most research applications deal with interactions between a robot an | d a single human. However, if robots are to perform general tasks such as pick-up and delivery in public spaces, they will need to be able to cope and interact with large crowds. This poses a specific challenge for navigation control, where robots are supposed to move fast and efficient, while not endangering the safet... |
{'timestamp': '2020-12-18T02:11:49', 'yymm': '2012', 'arxiv_id': '2012.08733', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08733'} | arxiv | \section{Introduction}
Person re-identification (ReID) is an important task that matches person images across times/spaces/cameras, which has many applications such as people tracking in smart retail | , image retrieval for finding lost children. Existing approaches achieve remarkable performance when the training and testing data are from the same dataset/domain. But they usually fail to generalize well to other datasets where there are domain gaps~\cite{ge2020mutual}. To address this practical problem, unsupervised... |
{'timestamp': '2020-12-17T02:13:12', 'yymm': '2012', 'arxiv_id': '2012.08816', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08816'} | arxiv | \section{Introduction}
One of the prominent fields in robotics is the development of artificial or prosthetic limbs. The most advanced devices are controlled via electromagnetic sensors that measure | sEMG signals either from muscles \cite{fajardo2015} or the central nervous system \cite{Li2017}.
Artificial limbs are normally controlled via gesture recognition from the sEMG sensor data. This gesture recognition can be either discrete \cite{Du2017} or continuous \cite{Quivira2018}. In the discrete case, there is a ... |
{'timestamp': '2021-02-11T02:21:46', 'yymm': '2012', 'arxiv_id': '2012.08712', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08712'} | arxiv |
\section{INTRODUCTION}
In the rapidly growing field of quantum science and technologies, the quest for new reliable and effective techniques to manipulate systems at the quantum scale is of paramoun | t importance, and control engineers are actively contributing to this effort (see e.g. \cite{altafini-tutorial} and references therein). Due to the intrinsic nature of quantum systems, one of the central resources of classical control design - {\em feedback} control - is particularly difficult to harness. In the last t... |
{'timestamp': '2020-12-17T02:09:01', 'yymm': '2012', 'arxiv_id': '2012.08732', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08732'} | arxiv | \section{Introduction}
\IEEEPARstart{W}{ith} the rapid development of high-definition displays, the demand for high resolution image/video content has been increasing rapidly. To improve the user-end | visual experience, image Super-Resolution (SR) technique is developed to interpolate High-Resolution (HR) images from their Low-Resolution (LR) references. Examples of these interpolated HR images can be seen in Fig. \ref{fig:SR}. The past two decades have witnessed a booming of image SR algorithms with widespread appl... |
{'timestamp': '2020-12-17T02:13:30', 'yymm': '2012', 'arxiv_id': '2012.08824', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08824'} | arxiv | \section{Introduction}
Replicating human movements and behaviour in humanoid robots is a formidable challenge with many exciting applications, ranging from health care (e.g. artificial limbs \cite{al | shamsi2016}) to space exploration \cite{nasa2015}. Since the manual engineering of controllers for such tasks is extremely difficult, machine learning and specifically reinforcement learning has received much attention in this area. A recent NIPS competition \cite{kidzinski2018learningtorun} focused on the creation of ... |
{'timestamp': '2020-12-17T02:06:59', 'yymm': '2012', 'arxiv_id': '2012.08695', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08695'} | arxiv | \section{Introduction}
Emotion recognition in conversation (ERC) is an emerging task in natural language processing (NLP) that aims to identify the emotion of each utterance in a conversation. It can | be regarded as an extension of traditional emotion detection from text, or an arising problem in dialogue systems that helps generate emotion-aware dialogues \cite{zhou2017emotional}. Empirical evidence shows that the conversational context of an utterance plays an indispensable role in this task \cite{poria2019emotion... |
{'timestamp': '2020-12-17T02:08:14', 'yymm': '2012', 'arxiv_id': '2012.08715', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08715'} | arxiv | \section{Introduction}
\subsection{Background and Motivations}
Recent years have witnessed the rapid development of large-scale distributed machine learning, which well reconciles the massive computat | ion tasks and the limited computation power of a single worker's machine.
Many workers (e.g., using servers, laptops, or even smartphones) can locally conduct model training based on assigned training data, and they feed back the computation results to the platform to complete a larger machine learning task.
Howeve... |
{'timestamp': '2020-12-17T02:07:14', 'yymm': '2012', 'arxiv_id': '2012.08698', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08698'} | arxiv | \section{Introduction}
Graph Neural Networks (GNNs) extends Convolutional Neural Networks (CNNs) to graph-based data. A common problem solved by GNNs is node classification. Given a partially labelle | d graph structure and the data defined on each node, the goal of node classification is to accurately classify the unlabelled nodes. For example, Fig.~\ref{figure:citeseer} shows the graph representation of a node classification dataset before and after the node classification, where the colors represent labels of the ... |
{'timestamp': '2021-06-15T02:24:40', 'yymm': '2012', 'arxiv_id': '2012.08714', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08714'} | arxiv | \section{Introduction}
Device-independent quantum key distribution (DIQKD) is a cryptographic concept based on the observation that if some quantum devices violate a Bell inequality, then it is possi | ble to distill a secret key from the devices' outputs, even when the devices are not fully characterized~\cite{BHK05,PAB+09,Sca12}. This is a stronger form of security than that offered by standard QKD protocols, which assume that the devices are performing measurements within specified tolerances~\cite{SBC+09}.
In re... |
{'timestamp': '2021-05-31T02:19:02', 'yymm': '2012', 'arxiv_id': '2012.08772', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08772'} | arxiv | \section{Introduction}
The paper \cite{grilliette6} developed a categorical perspective of graph theory, slotting familiar graph-theoretic objects and operations into a diagram of categories and func | tors. Thus far, the work has considered the following structures: the category $\cat{Q}$ of quivers (i.e.\ directed multigraphs), the category $\cat{H}$ of set-system hypergraphs, the category $\cat{M}$ of (undirected) multigraphs, and the category $\cat{R}$ of incidence hypergraphs. In other works, set systems have... |
{'timestamp': '2021-02-17T02:22:18', 'yymm': '2012', 'arxiv_id': '2012.08799', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08799'} | arxiv | \section{Introduction}
Topological quantization has captivated a generation of physicists since the discovery of the quantum Hall effect \cite
QHE}. In the more recent years, its standing as a novel | quantum phenomenon was further strengthened by the observation of discretely varying Hall conductances in the quantum anomalous Hall \cite{Haldane_QAHE,liu2016quantum} and quantum spin Hall effects \cite{KM_QSHE1}.
Rigorously established through linear response theory, the link between topological winding numbers and q... |
{'timestamp': '2020-12-17T02:12:22', 'yymm': '2012', 'arxiv_id': '2012.08793', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08793'} | arxiv | \section{Introduction}
Recommender systems can help users in fulfilling their intentions by suggesting the most relevant actions to follow. A wide variety of systems has been developed, while most of | the approaches benefit from modeling of long-term user profiles whether of sequential or static nature. In many real-world applications, long-term user profiles are not available, and therefore, suggestions have to be made solely based on the observed actions during an ongoing session. Typically, session-based recomme... |
{'timestamp': '2020-12-17T02:10:26', 'yymm': '2012', 'arxiv_id': '2012.08760', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08760'} | arxiv |
\section{Fabrication and Device Properties}
\subsection{Material Properties}
Our resonators are fabricated out of a 100-$\rm nm$ silicon nitride film that is deposited on top a 550-$\mu \rm m$-thic | k silicon handle wafer~\cite{Wafer} via low-pressure chemical vapor deposition (LPCVD). The material properties of silicon nitride depend upon the specifics of the LPCVD process. The reported Young's modulus and density values are in the range $250~{\rm GPa} \le E \le 350 ~ {\rm GPa}$ and $2600~ {\rm kg / m^3} \le \... |
{'timestamp': '2022-05-20T02:16:39', 'yymm': '2012', 'arxiv_id': '2012.08736', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08736'} | arxiv | \section{Introduction}
\vspace*{0.4cm}
Structural Ramsey theory originated at the beginning of the 1970's in a series of
papers (see \cite{JN95}). Given structures $\pmb{A}$ and $\pmb{B}$, let | $\big(\mathop{}_{\pmb{A}}^{\pmb{B}}\big)$ denote the set of
all copies of $\pmb{A}$ in $\pmb{B}$.
We write $\pmb{C}\longrightarrow (\pmb{B})^{\pmb{A}}_{l,m}$ to denote the following property:
For every finite coloring $c: \big(\mathop{}_{\pmb{A}}^{\pmb{C}}\big)
\longrightarrow l$, there is $\pmb{B}^\prime\in... |
{'timestamp': '2022-01-07T02:21:06', 'yymm': '2012', 'arxiv_id': '2012.08800', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08800'} | arxiv | \section{Introduction}
\label{introduction}
Chiral magnets are special examples of magnetic materials where
the energy functional which describes the system contains a term
with a preferred chiralit | y for the magnetization vector
\cite{NT,YOKPHMNT,MBJPRNGB,RHMBWVKW}.
This chirality preference comes from the parity (inversion) violating
(noncentrosymmetric) interaction called the Dzyaloshinskii-Moriya
(DM) interaction consisting
of an inner product of the magnetization vector $\vec{n}$
with the curl $\nabla \... |
{'timestamp': '2021-05-03T02:07:18', 'yymm': '2012', 'arxiv_id': '2012.08696', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08696'} | arxiv | \section{Introduction}\label{sec1}
In this paper, we are concerned with the Cauchy problem for the following two-component b-family system on $\mathbb{R}$:
\begin{eqnarray}\label{eq1}
\lef | t\{\begin{array}{ll}
m_t=um_x+ k_1u_xm+k_2\rho\rho_x,\\
\rho_t=k_3(u\rho)_x,\\
m=u-u_{xx},\\
u(0, x)=u_0, \rho(0, x)=\rho_0. \end{array}\right.
\end{eqnarray}
which was introduced by Guha in \cite{Guha 2007}. As shown in \cite{Guha 2007}, there are two cases about th... |
{'timestamp': '2020-12-17T02:14:07', 'yymm': '2012', 'arxiv_id': '2012.08832', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08832'} | arxiv |
\section{Introduction}
\vspace{-0.3cm}
One of the main goals in modern heavy-ion physics is the study of QCD matter at extreme conditions of high temperature and/or high net-baryon number density ($\ | epsilon \approx$~1~GeV/fm$^3$). Under these conditions, which can be generated in ultra-relativistic heavy-ion collisions at laboratories using accelerators such as the Large Hadron Collider (LHC) at CERN, a colour-deconfined state of strongly-interacting matter, the quark--gluon plasma (QGP)~\cite{Shuryak:1977ut} is c... |
{'timestamp': '2021-02-11T02:11:31', 'yymm': '2012', 'arxiv_id': '2012.08798', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08798'} | arxiv | \section{Introduction}
Galaxies are usually classified into ellipticals and spirals according to their morphology. Elliptical galaxies, by definition, have regular elliptical shapes of stellar distri | bution. They have very little ongoing star formation, and thus they are red in color and old in stellar age. In contrast, spiral galaxies have disk shapes of stellar distribution,
\Authorfootnote
\noindent
though a significant fraction of them possess bulges at the centers. There is usually ongoing star formation in ... |
{'timestamp': '2022-05-24T02:24:19', 'yymm': '2012', 'arxiv_id': '2012.08735', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08735'} | arxiv | \section{Proof of~\Cref{thm:lower-bound-intro}
In this section, we prove the following theorem:
\begin{theorem}[Tolerant testing of DTs $\Rightarrow$ Proper learning of DTs]
\label{thm:lower-bo | und}
Let $c > 0$ be an absolute constant and $\mathcal{A}$ be an algorithm with the following guarantee. Given query access to $f: \bn \to \bits$ and parameters $s \in \N $ and $\eps \in (0,1)$, the algorithm $\mathcal{A}$:
\begin{itemize}
\item[$\circ$] Accepts w.h.p.~if $f$ is $\eps$-close to a size-... |
{'timestamp': '2021-06-28T02:09:34', 'yymm': '2012', 'arxiv_id': '2012.08825', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08825'} | arxiv |
\section{Contribution from the $e_g$-orbitals}
We quickly discuss the nonnegligible contribution from
the $e_g$-orbitals. In this section, we ignore a spin index
for simplicity. In the basis set f | or the $d$-orbitals with
\begin{equation}
\bm{d}^\dagger = \left(d_{yz}^\dagger, d_{xz}^\dagger, d_{xy}^\dagger, d_{3z^2-r^2}^\dagger, d_{x^2-y^2}^\dagger \right),
\end{equation}
the angular momentum operator $\bm{L}$ can be written as
follows:
\begin{equation}
L^x = \bm{d}^\dagger \begin{pmatrix}
0 & 0 & 0 & -... |
{'timestamp': '2021-03-18T01:03:20', 'yymm': '2012', 'arxiv_id': '2012.08706', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08706'} | arxiv | \section{Introduction}
The $U_A(1)$ subgroup of approximate $U_L(3)\times U_R(3)$ chiral symmetry is anomalously broken in quantum chromodynamics (QCD). QCD is a strongly coupled theory, and as suc | h, most accurate results can be expected to emerge through lattice simulations. These, however, lack the ability to simulate the system at finite density due to the notorius sign problem. To tackle this issue, it is common to build effective models upon chiral symmetry, which are expected to capture essential features ... |
{'timestamp': '2020-12-17T02:09:09', 'yymm': '2012', 'arxiv_id': '2012.08738', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08738'} | arxiv | \section{Introduction}
Many important real-world problems involve optimizing a submodular function. Such problems include maximum coverage, maximum cut \cite{MaxcutSDP}, maximum influence \cite{MaxSpr | eadInfluence}, sensor placement problem \cite{NearSensorPlacement,SubInfoGather}, as well as many problems in the machine learning domain \cite{FeatureSelection,DataSubsetSelection,DocSum,DocSumBudget,EfficientMinDecompSubmodular}. Much work has been done in the area of submodular optimization under static constraints.... |
{'timestamp': '2020-12-17T02:13:12', 'yymm': '2012', 'arxiv_id': '2012.08817', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08817'} | arxiv | \section{Introduction}
In recent years, much attention has been paid to studies of low-dimensional structures
in which new physical phenomena that have no analogues in bulk materials have been
discov | ered. Due to these new functional properties, these materials are considered
as very promising for their use in electronics. Ferroelectric superlattices
(SLs)---quasi-two-dimensional artificial periodic structures whose properties can
be tailored to obtain the necessary functionality---belong to this interesting
class ... |
{'timestamp': '2020-12-17T02:09:31', 'yymm': '2012', 'arxiv_id': '2012.08748', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08748'} | arxiv | \section{Introduction}
Converting heat into useful work, heat engine lies at the core of
thermodynamics, both in classical and quantum regime \citep{Carnoteff,tolman1948irreversible,kosloff2014qua | ntum,Binder2018}.
Absorbing heat from a hot thermal bath with the temperature $T_{\mathrm{h}}$,
the engine outputs work and releases part of the heat to the cold
bath with the temperature $T_{\mathrm{c}}$. The upper limit of the
heat engine working between two heat baths is given by the Carnot
efficiency $\eta_{\m... |
{'timestamp': '2020-12-17T02:12:29', 'yymm': '2012', 'arxiv_id': '2012.08795', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08795'} | arxiv | \section{Introduction}
In recent years, there are more and more big data based deep learning tasks, such as ImageNet classification, natural language processing, and face recognition. The datasets oft | en include tens of millions of images, texts, voices or other data, and the related neural networks (NNs) also contain multiple millions of parameters. For such complex tasks, how to improve the training efficiency has attracted mounting attention. It is natural to use multiple Graphics Processing Unit (GPU) as the par... |
{'timestamp': '2020-12-17T02:13:45', 'yymm': '2012', 'arxiv_id': '2012.08828', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08828'} | arxiv | \section{Introduction}
The phenomenon of information diffusion, dubbed as information cascade, is ubiquitous in our daily lives, \textit{e.g.}, the spread of breaking news or virus. Information diffus | ion prediction is an important and challenging task, which aims at forecasting the future properties or behaviors of an information cascade, such as the eventual size~\cite{deepcas-macro,cascn-macro,macro-coupledGnn} or the next infected user~\cite{NDM,DCE-micro,infVAE-micro}. Current studies of information diffusion p... |
{'timestamp': '2020-12-17T02:12:46', 'yymm': '2012', 'arxiv_id': '2012.08803', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08803'} | arxiv | \section{\uppercase{Introduction}}
\label{sec:introduction}
\begin{figure*}[t!]
\begin{subfigure}{\linewidth}
\centering
\includegraphics[width=\linewidth]{img/tsne.pdf}
\caption{t-SNE visualizati | ons. Upper-Center: Original latent space. Bottom-Left: Latent space according to our approach. Bottom-Right: Latent space according to standard approach\protect\footnotemark. Both bottom spaces represent the classes of the generated images given a latent code. Therefore, they should be as similar as possible to the ori... |
{'timestamp': '2020-12-17T02:12:28', 'yymm': '2012', 'arxiv_id': '2012.08794', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08794'} | arxiv |
\section{Introduction}
The past decade has witnessed a surge of interest in exploiting concepts from topology as a powerful tool to engineer material behavior~\cite{kosterlitz_ordering_1973,haldane_ | model_1988,sanchez_spontaneous_2012,coulais_static_2017}.
In particular, an important realization was that collections of a material's normal modes are not merely independent; instead, phase relationships between modes -- quantified, for example, by Berry curvature -- can have physical implications.
This realization ... |
{'timestamp': '2020-12-17T02:06:58', 'yymm': '2012', 'arxiv_id': '2012.08693', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08693'} | arxiv | \section{Introduction} \label{s:intro} Let $G$ be a finite group. An elementary abelian subgroup $E$ of
$G$ is a called a broad subgroup if every involution of $G$ is conjugate to an element of $E$ | . This definition is motivated in part
by the fact that (using a Theorem of R.Kn\"orr \cite{K}) an irreducible character which vanishes identically on non-identity elements of $E$ lies
in a $2$-block of defect zero. This in turn allows us to prove that when $G$ contains a broad subgroup, the number of irreducible char... |
{'timestamp': '2020-12-17T02:12:57', 'yymm': '2012', 'arxiv_id': '2012.08807', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08807'} | arxiv | \section{Introduction}
Over the past few years, there has been a soaring interest for the study of multi-agent collective behavior models.
Indeed, they can be applied in many different areas: biolog | y with the study of collective flocks and swarms \cite{MR2310046,MR2205679,MR2064375,1582249}, aviation \cite{MR1617559}, and social dynamics \cite{HK} (among many others).
In this article, we will take a particular interest in models for opinion dynamics.
The first ones were introduced in the 50's \cite{social,socia... |
{'timestamp': '2022-01-25T02:33:42', 'yymm': '2012', 'arxiv_id': '2012.08784', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08784'} | arxiv | \section{Introduction}
The problem of recovering an unknown low-rank tensor from a small
fraction of its entries is known as the tensor completion problem,
and comes up in a wide range of applicatio | ns,
e.g., image processing \cite{imbiriba2018low, ng2017adaptive, zhang2021low},
computer vision \cite{liu2013, zhang2019corrected},
and machine learning \cite{romera2013multilinear, signoretto2014learning}.
The goal of low-rank tensor
completion is to recover a tensor with the lowest rank
based on observable entries o... |
{'timestamp': '2020-12-17T02:09:16', 'yymm': '2012', 'arxiv_id': '2012.08741', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08741'} | arxiv | \section{Introduction}
The Schur functions $s_\lambda$ are an important family of symmetric functions.
They form a linear basis of the space of symmetric functions and have
connections to different | areas of mathematics including combinatorics and
representation theory. Schur functions have been extensively studied and there
are numerous generalizations and variations of them in the literature. In
particular, Macdonald \cite{Macdonald_Schur} introduced nine variations of Schur
functions. Macdonald's 9th variation... |
{'timestamp': '2020-12-17T02:08:18', 'yymm': '2012', 'arxiv_id': '2012.08719', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08719'} | arxiv | \section{Introduction}
The use of neural networks (NNs) as universal approximators has recently attracted great attention in various problems in physical sciences.
Despite the recent enthusiasm, ther | e are limited studies of interpretable NN methods, which have led to the characterization of neural networks as ``black-boxes" which do not provide feedback from a modeling strategy.
A decisive reason for this is the specification of modeling tasks from the deterministic regression point-of-view: $L_2$ norms are well-... |
{'timestamp': '2020-12-17T02:11:11', 'yymm': '2012', 'arxiv_id': '2012.08774', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08774'} | arxiv | \section{Dark Stars}
The Nobel prize this year has been awarded for research that
demonstrated that black holes can form in realistic astrophysical
situations, and observational evidence for a superm | assive compact
object at the centre of our Galaxy.
Black holes are exotic objects.
These have been in popular imagination and these have also been used
in movies.
Black holes are thought of as objects from where nothing can escape.
The first speculation about such objects, then named as {\sl dark
stars} was the resu... |
{'timestamp': '2020-12-17T02:08:32', 'yymm': '2012', 'arxiv_id': '2012.08724', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08724'} | arxiv | \section{}
\begin{abstract}
Online experimentation, also known as A/B testing, is the gold standard for measuring product impacts and making business decisions in the tech industry. The validity and | utility of experiments, however, hinge on unbiasedness and sufficient power. In two-sided online marketplaces, both requirements are called into question. The Bernoulli randomized experiments are biased because treatment units interfere with control units through market competition and violates the “stable unit treatm... |
{'timestamp': '2020-12-17T02:11:38', 'yymm': '2012', 'arxiv_id': '2012.08781', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08781'} | arxiv | \section{\label{sec:introduction}Introduction}
The exactly solvable Kitaev honeycomb model \cite{Kitaev06} has evoked considerable research interest in recent years, as it offers a distinct route to | quantum spin liquids (QSLs). Realizing the model in real materials requires specific crystal structures and magnetic interactions \cite{Takagi19}. Former studies showed that bond-dependent Ising interactions, also known as Kitaev interactions, can arise from spin-orbit entangled pseudospin-1/2 degrees of freedom of $d^... |
{'timestamp': '2020-12-17T02:11:54', 'yymm': '2012', 'arxiv_id': '2012.08787', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08787'} | arxiv | \section{Introduction}
In the IR traditional setting, a user expresses his information needs with the help of a query. Yet, it is sometimes difficult to match the query with the documents, for instan | ce because of the query vocabulary may differ from the documents. Especially when the query is short, the performance of the system is usually poor, as it is difficult to detect the precise focus of the information need, and the relative importance of the query terms.
Query expansion aims at tackling these problems b... |
{'timestamp': '2021-01-11T02:12:47', 'yymm': '2012', 'arxiv_id': '2012.08814', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08814'} | arxiv | \section{Introduction}
Algebraic cobordism is supposed to be the universal oriented cohomology theory in algebraic geometry. While still largely hypothetical, it promises to be a valuable invariant i | n algebraic geometry: Voevodsky's original approach to proving Milnor conjecture was based on the algebraic cobordism spectrum $MGL$, Levine and Pandharipande used in \cite{levine-pandharipande} the classification of varieties up to cobordism over a field of characteristic 0 in their proof of degree 0 Donaldson--Thomas... |
{'timestamp': '2021-04-20T02:33:37', 'yymm': '2012', 'arxiv_id': '2012.08788', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08788'} | arxiv | \section{Introduction} \label{sec:intro}
The present work proposes a novel smoothed particle hydrodynamics (SPH) formulation for general thermo-capillary phase change problems involving solid, liquid | and gaseous phases. A special focus lies on the mesoscale melt pool modeling in metal powder bed fusion additive manufacturing (PBFAM) processes, e.g. selective laser melting (SLM) or electron beam melting (EBM), requiring some additional model constituents that are specific for this application. Since the governing p... |
{'timestamp': '2021-08-17T02:19:08', 'yymm': '2012', 'arxiv_id': '2012.08786', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08786'} | arxiv | \section{Introduction}\label{S:Introduction}
Let $G=(V,E)$ be a simple connected graph. The {\it Wiener index} of a graph $G$ is defined as the sum of distances between all pairs of vertices of $G$ | :
$$W(G)=\frac{1}{2}\sum_{v,u\in V, v\neq u}{d_G(u,v)},$$
where $d_G(x,y)$ is a usual graph distance, i.e. the length of a shortest path from $x$ to $y$ in $G$.
This index was introduced in $1947$ by Wiener \cite{W1947} for applications in chemistry, where he used similar expression to determine the boiling point of th... |
{'timestamp': '2020-12-21T02:03:07', 'yymm': '2012', 'arxiv_id': '2012.08705', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08705'} | arxiv | \section{Introduction}\label{section:intro}
Let $X$ be a smooth projective genus $g$ curve over a field $k$ of characteristic $p$. The Torelli map associates $X$ with its Jacobian $J_X$, a principall | y polarized abelian variety of dimension $g$. The map embeds the moduli space $\mathcal{M}_g$ of curves of genus $g$ into $\mathcal{A}_g$, the moduli space of principally polarized abelian varieties of dimension $g$ over $k$. In consequence, it allows us to study the stratification of $\mathcal{M}_g$ by looking at the ... |
{'timestamp': '2021-03-31T02:33:51', 'yymm': '2012', 'arxiv_id': '2012.08806', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08806'} | arxiv | \section{Introduction}
Lasers are nowadays well-established as the workhorse of modern telecommunication, metrology, as well as developing quantum technologies. However, as has been already realized b | y Schawlow and Townes \cite{PhysRev.112.1940}, the phase noise of a laser is finite and fundamentally limited. Practically, many more effects, such as thermal \cite{NUMATA2012798} or acoustical \cite{CONFORTI2020126286} noise of laser cavities, contribute to the total phase noise.
Many techniques are employed to reduc... |
{'timestamp': '2021-05-14T02:14:10', 'yymm': '2012', 'arxiv_id': '2012.08812', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08812'} | arxiv | \section{\label{sec:intro}Introduction}
The electron momentum distribution, through its dependence on the ground state wavefunctions, is a powerful quantity for understanding many-body effects in sol | ids \cite{schneider:92}. Compton scattering experiments, which involve measuring the energy distribution of inelastically scattered photons which have impinged on electrons within the sample being studied, are able to measure a projection (integration over two momentum components) of the underlying electron momentum di... |
{'timestamp': '2020-12-17T02:09:09', 'yymm': '2012', 'arxiv_id': '2012.08739', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08739'} | arxiv | \section{Introduction}
To study the knots and links occurring in flows on $S^3$, Birman and Williams \cite{BW1, BW2} introduced the template (they called it the knot holder) as a geometric model. R | oughly speaking, a template is a compact branched surface with an associated semi-flow on it, whose periodic orbits are in bijective correspondence with the periodic orbits of the original $3$-dimensional flow.
As in knot theory, the embedded template is studied by the template diagram with planar moves \cite{KSS}. ... |
{'timestamp': '2020-12-17T02:11:37', 'yymm': '2012', 'arxiv_id': '2012.08780', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08780'} | arxiv | \section{Introduction}\label{sec:introduction}}
\else
\section{Introduction}
\label{sec:introduction}
\fi
\noindent Analysing the direction of influence between participants in dyadic interactions (i | .e., human communication between two people) is of increasing interest in the psychological sciences with applications in psychotherapy \cite{Tschacher2014}, critical political interactions \cite{Renoust2016}, and interpersonal conflict behavior \cite{Reeck2016}, among others. In any interpersonal communication, ... |
{'timestamp': '2021-11-19T02:06:55', 'yymm': '2012', 'arxiv_id': '2012.08744', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08744'} | arxiv | \section{Introduction}
\label{sect:intro}
Exoplanet transit depths in multiple bands in the light curve of a star provide clues into understanding the atmospheric composition of the exoplanet \citep{V | idal2003,sing2011,Berta2012}.
The transmission spectrum leads to the detection of certain atomic and molecular species, as well as haze and clouds in the planet atmosphere
\citep{seager2010}. For instance, the transit spectrum of HD 209458b and XO-1b provides evidence for water and sodium absorption \citep{Deming2013... |
{'timestamp': '2021-04-02T02:13:17', 'yymm': '2012', 'arxiv_id': '2012.08721', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08721'} | arxiv | \section{Introduction}
\label{intro}
The pelvis is an important structure connecting the spine and lower limbs and plays a vital role in maintaining the stability of the body and protecting the intern | al organs of the abdomen. The abnormality of the pelvis, like hip dysplasia~\cite{HipDysplasia} and pelvic fractures~\cite{2018pelvicFracture}, can have a serious impact on our physical health. For example, as the most severe and life-threatening bone injuries, pelvic fractures can wound other organs at the fracture si... |
{'timestamp': '2020-12-17T02:10:42', 'yymm': '2012', 'arxiv_id': '2012.08768', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08768'} | arxiv |
\section{INTRODUCTION}
\label{sec:intro}
Polarimetry is a technique used in many areas of astronomy to study physical characteristics of a wide range of astronomical sources. In a number of researc | hes, polarimetry plays a vital role in deriving interesting inferences which could not be revealed with any other technique. Understanding these advantages of the polarimetric techniques in astronomy, the Astronomy and Astrophysics Division of Physical Research Laboratory (PRL), India, has developed and been using an O... |
{'timestamp': '2021-01-12T02:22:49', 'yymm': '2012', 'arxiv_id': '2012.08687', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08687'} | arxiv | \section{Introduction}
\label{sc:introduction}
The stylish Chinese font generation has attracted rising attention within recent years \cite{Lin2016,Cha2020,Chang2017,Tian2017,Kong2017,Jiang2017,Jian | g2019,Chang2018,chen2019,Wu2020,Gao2020,Zhang2020}, since it has a wide range of applications including but not limited to the automatic generation of artistic Chinese calligraphy \cite{Zhao2020}, art font design \cite{Lin2014} and personalized style generation of Chinese characters \cite{Liu2012}.
The existing Chines... |
{'timestamp': '2020-12-17T02:06:50', 'yymm': '2012', 'arxiv_id': '2012.08686', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08686'} | arxiv | \section{Introduction}
Studying giant spiral galaxies beyond the Local Group determines whether the assembly of the
Milky Way was typical. Having a vantage point outside the system also makes observa | tions of
the stellar halo and circumgalactic medium (CGM) easier. The disk component can be completely separated
from the halo, for example, when such galaxies are viewed edge-on. The edge-on orientation of
the nearby galaxy, \n891, is ideal for studying the interaction between the disk, CGM, and satellite
galaxies... |
{'timestamp': '2022-02-23T02:20:55', 'yymm': '2012', 'arxiv_id': '2012.08796', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08796'} | arxiv | \section{Introduction} \label{sec:intro}
\subsection{Overview}
This article presents a method for using computations with quaternion algebras over totally real fields to determine explicit upper bound | s for the systolic lengths of certain Riemann surfaces, namely the Galois-Belyi curves constructed by Clark and Voight~\cite{CV/19}. These are also referred to as triangular modular curves. The most celebrated members of this family are the congruence Hurwitz curves. We generalize the treatment in~\cite{KKSV/16} of ... |
{'timestamp': '2020-12-17T02:06:41', 'yymm': '2012', 'arxiv_id': '2012.08684', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08684'} | arxiv | \section{Introduction: understanding red giant dynamics}
\label{sec:1}
Amongst key observations of red-giant (RG) interiors that stands out are their interestingly low core rotation rate \citep[e.g.] | []{beck2011, Mosser2012, Gehan2018} that is only about 10 times higher than the surface rate. However, state-of-the-art stellar evolution models predict that the core should rotate about 100 times faster than the stellar surface according to current transport models \citep[e.g.][]{Eggenberger2012b, Ceillier2013, Marque... |
{'timestamp': '2020-12-17T02:13:43', 'yymm': '2012', 'arxiv_id': '2012.08827', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08827'} | arxiv | \section{Primary Hardware Platform and Experimental Settings}
The primary hardware platform on which the majority of experiments have been conducted is a D-Wave 2000Q quantum annealer at Los Alamos N | ational Laboratory, referred to as \texttt{DW\_2000Q\_LANL}. The \texttt{DW\_2000Q\_LANL} QPU chip has a so-called chimera graph structure with $C_{16}$ topology, i.e. it is composed of two dimensional lattice of 16-by-16 unit cells. Each unit cell is composed of 8 qubits connected through a complete bipartite graph st... |
{'timestamp': '2021-07-27T02:17:45', 'yymm': '2012', 'arxiv_id': '2012.08767', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08767'} | arxiv | \section{Introduction}
Gluons are Bosons. Can gluons be stacked in a same quantum state like Bose-Einstein condensate (BEC)?
How to observe this gluon condensation (GC) phenomenon? Gluons, confined i | n proton/neutron,
are the fundamental components of the Universe. Previous works concerning the gluon distribution in proton based on QCD have shown the possible existence of
GC [1-3]. The correlations among gluons at very high energy (VHE) may excite chaos in proton, which arises
strong shadowing and antishadowing eff... |
{'timestamp': '2022-05-17T02:07:46', 'yymm': '2012', 'arxiv_id': '2012.08764', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08764'} | arxiv | \section{Introduction}
In the last decades, harmonic interactions have played a crucial role in quantum dynamics to study the behavior of the moving particle subject to the electromagnetic field and s | calar potential. Hence, implementing harmonic oscillators in quantum field theory in flat and curved space-time has been a prevalent scenario. Therefore, to conceive and describe harmonic oscillator in the relativistic regime, Moshinsky and Szczepaniak \cite{re1,re2} presented the well-known coupling model between a r... |
{'timestamp': '2020-12-17T02:09:52', 'yymm': '2012', 'arxiv_id': '2012.08751', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08751'} | arxiv | \section{Introduction}
Recently, it has been very popular to utilize cloud servers to carry out machine learning algorithms instead of using local servers. However, since cloud servers are semi-truste | d, private data, such as personal information and medical records, may be revealed in cloud computing. For the reason, privacy-preserving machine learning has become an urgent challenge\cite{homomorphic1, 2007.08775, sirichotedumrong2019privacy, sirichotedumrong2019pixel, 2006.01342}.
In this paper, we focus on dimensi... |
{'timestamp': '2020-12-17T02:11:02', 'yymm': '2012', 'arxiv_id': '2012.08773', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08773'} | arxiv | \section{1. Introduction}
Deep learning is developing rapidly in many areas of Natural Language Understanding. While the deep learning requires a large amount of data to ensure the generalization of t | he model. For example, in the famous pre-trained language model ''BERT'' \cite{devlin-etal-2019-bert} where Google provides 400 million data to train Bert model, which requires a huge amount of data to guarantee the model performance. However, in many cases we cannot obtain a large amount of data. For example, training... |
{'timestamp': '2021-03-11T02:23:13', 'yymm': '2012', 'arxiv_id': '2012.08727', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08727'} | arxiv | \section{Introduction}
In particle and nuclear physics experiments, large-scale liquid-based detectors have been widely used, particularly in neutrino detectors and in experiments searching for dar | k matter or neutrino-less double-beta decay. For example, the Super-Kamiokande detector used 50,000 tons of ultra-pure water to detect neutrinos\cite{abe2013evidence}. In addition, Sudbury Neutrino Observatory used 1000 tons of heavy water to detect solar neutrinos\cite{adam2015juno}. In the Jiangmen Underground Neutri... |
{'timestamp': '2022-02-28T02:24:12', 'yymm': '2012', 'arxiv_id': '2012.08752', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08752'} | arxiv | \section{Introduction}
Graph, as a complex data structure, consists of nodes (or vertices) and edges (or links). It can be used to model lots of complex systems in real world, e.g. social networks, p | rotein-protein interaction networks,
brain networks, road networks, physical interaction networks and knowledge graph etc. Thus, Analyzing the complex networks becomes an intriguing research frontier.
With the rapid development of deep learning techniques, many scholars employ the deep learning architectures to tackle ... |
{'timestamp': '2020-12-17T02:10:46', 'yymm': '2012', 'arxiv_id': '2012.08770', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08770'} | arxiv | \section{Introduction}
With its high-resolution image and low cost, CT scan is critical in clinical decision and holds the key for making precise medical-care accessible to everyone around the world. |
Recently, deep learning methods have been introduced to detect lesions in CT slices~\cite{3DCE,MSB, Retina, MVP, MULAN}.
Since it is difficult to distinguish lesions within a single axial slice, exploiting sufficient 3D context for accurate detection in volumetric CT data has emerged as a significant research focus... |
{'timestamp': '2020-12-18T02:25:39', 'yymm': '2012', 'arxiv_id': '2012.08821', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08821'} | arxiv | \section{\label{sec:intro}Introduction}
Let $X$ be a finite set, let $\mathcal{F}\subseteq2^{X}$ be a family
of subsets of $X$, and let $b$ be a positive integer. In the $\left(1:b\right)$
\texts | c{Maker}\textendash \textsc{Breaker} game $\left(X,\mathcal{F}\right)$,
two players, called \textsc{Maker} and \textsc{Breaker}, take turns
in claiming previously unclaimed elements of $X$. On \textsc{Maker}'s
move, she claims one element of $X$, and on \textsc{Breaker}'s move,
he claims~$b$ elements (if less than ... |
{'timestamp': '2020-12-17T02:08:33', 'yymm': '2012', 'arxiv_id': '2012.08725', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08725'} | arxiv | \section{Introduction}
The objective of this paper is to discuss research needs and requirements towards the predictive simulation of turbulent reacting flows. While significant progress has been made | on the fundamental understanding of turbulent combustion, the modeling of stationary combustion processes and the qualitative evaluation of combustion dynamics, deficiencies remain in regard to quantitative predictions and reliable simulations of combustion processes, involving complex geometries, unsteady operating ... |
{'timestamp': '2020-12-17T02:07:35', 'yymm': '2012', 'arxiv_id': '2012.08703', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08703'} | arxiv | \section{Introduction}
Grasping is one of the important actions in people's daily life, but the limbs of some disabled people cannot implement the grasping function because of paralysis, amputation, e | tc. Wearable robots including exoskeletons~\cite{dollar2008lower}, prosthetics~\cite{belter2013mechanical}, and supernumerary robotic fingers~\cite{wu2015hold, hussain2016soft, ciullo2018analytical} can serve as alternative actuators.
Recognition of grasping intention is the premise for controlling wearable robots. Th... |
{'timestamp': '2022-02-02T02:26:15', 'yymm': '2012', 'arxiv_id': '2012.08755', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08755'} | arxiv | \section{INTRODUCTION}
Communities around the world are fighting the COVID-19 pandemic. In the United States alone, more than 50 million cases and 800,000 deaths have been recorded \cite{CDCCOVID}. Th | e most reliable way to end transmission of this and other rapidly spreading diseases is to stop any and all contact between individuals in the population; no interaction means no transmission. While this strategy is extreme, many communities (even nations) implemented some version of this plan in the early weeks and mo... |
{'timestamp': '2021-10-01T02:28:00', 'yymm': '2012', 'arxiv_id': '2012.08711', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08711'} | arxiv | \section{Introduction}
Spin is a fundamental quantum mechanical property of electrons and
other particles. The spin states can be used as the basis of quantum
bits in quantum information science (QIS | )\citep{awschalom2018quantum},
in addition to being used in spintronics analogous to electrical charge
in conventional electronics\citep{vzutic2004spintronics}. The key
property for spintronics and spin-based QIS is the lifetime of spin
states. Stable manipulations of spin states in practical applications
require lifet... |
{'timestamp': '2020-06-01T02:03:08', 'yymm': '2005', 'arxiv_id': '2005.14283', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14283'} | arxiv | \section{Introduction}
For a number $h\in \mathbb{N}$, a red-blue coloring of a finite set $A$ is said to be \emph{$h$-balanced} if the numbers of red and blue elements in $A$ differ by at most $h$. | If $h=1$, then we call it \emph{perfectly balanced}. For positive integers $s,k\in \mathbb N$, we denote by $A_{s,k}=\{s,2s,\dots,ks\}$ the homogeneous arithmetic progression of length $k$ and step $s$.
In 1932 Erd\H {o}s \cite{Erdos} asked if there exists a constant $h$ and a red-blue coloring of $\mathbb{N}$ such ... |
{'timestamp': '2020-07-02T02:02:52', 'yymm': '2005', 'arxiv_id': '2005.14417', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14417'} | arxiv |
\section{Introduction}
\label{sec:intro}
\def\arabic{section}.\arabic{equation}{\arabic{section}.\arabic{equation}}
\setcounter{equation}{0}
The effective chiral Lagrangian formalism has become a we | ll-established methodology to study the interactions
of the Goldstone bosons with or without other particle species, like e.g. pions and nucleons, respectively
\cite{ccsc}.
The most significant example is Chiral Perturbation Theory (ChPT) \cite{weinberg.200221.1,leutwyler.200220.1},
which is the low-energy effective... |
{'timestamp': '2021-03-17T01:08:18', 'yymm': '2005', 'arxiv_id': '2005.14392', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14392'} | arxiv | \section*{Introduction}
In the US, the Airline Deregulation Act was established in 1978, which removed the governmental controls over fares, routes, and market entries of new air carriers (carriers | for short)\cite{brown1987politics}. After the establishment of the law, the formerly regional carriers and completely new carriers grew in the market and increased the level of competition among carriers\cite{goetz2009good}. The deregulation also caused the emergence of low cost carriers (LCCs). In contrast to full ser... |
{'timestamp': '2021-02-08T02:08:23', 'yymm': '2005', 'arxiv_id': '2005.14383', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14383'} | arxiv |
\section{Introduction}
\label{Section:Introduction_IFB}
\input{Introduction_IFB.tex}
\section{Problem Formulation}
\label{Section:Problem_IFB}
\input{Problem_IFB.tex}
\section{Statement of | the Main Results}
\label{Section:Main_IFB}
\input{Main_IFB_symmetric.tex}
\section{Proof of Theorem~\ref{THM:Capacity_IFB}: Outer Bounds}
\label{Section:Converse_IFB}
\input{Converse_IFB.tex}
\section{Proof of Theorem~\ref{THM:Ach_IFB}: Transmission Protocol}
\label{Section:Achievability_IFB}
\input{Achievabil... |
{'timestamp': '2020-07-22T02:05:45', 'yymm': '2005', 'arxiv_id': '2005.14516', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14516'} | arxiv | \section{Introduction}
Flamelet models are attractive for modelling some subgrid behavior with reasonable fidelity for large-eddy simulations \cite{Nguyen2018,Nguyen_WAS2018}. Due to prohibitive compu | tational costs, the typical turbulent combustor analysis with its inherently multiscale behavior cannot use direct numerical simulation to describe the flame behavior. While some success has been achieved with flamelet modelling in analyzing experimental combustors, there is need for improvement in the basic model. Cur... |
{'timestamp': '2020-06-01T02:03:22', 'yymm': '2005', 'arxiv_id': '2005.14290', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14290'} | arxiv | \section{Introduction}
\label{secintro}
Supervised machine-learning algorithms allow one to train sophisticated statistical models to associate the different instances of a quantum system to the corre | sponding physical properties~\cite{dunjko2018machine,carleo2019machine,carrasquilla2020machine}.
These algorithms have already been used to boost some of the most important computational tasks in quantum chemistry and in material science, including: molecular dynamics simulations~\cite{blank1995neural,behler2007gene... |
{'timestamp': '2020-11-17T02:23:21', 'yymm': '2005', 'arxiv_id': '2005.14434', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14434'} | arxiv | \section{\label{sec:intro}Introduction}
The flow periodicity due to the vortex shedding from a bluff body exposed to a fluid stream can cause structural vibration if the body is flexible or it is elas | tically mounted, which is referred to as `vortex-induced vibration'. In practical applications, compliant structures usually have degrees of freedom to move both along and across the incident flow. Much of the fundamental research on the problem has dealt with rigid circular cylinders as bluff bodies, constrained elas... |
{'timestamp': '2020-06-01T02:09:46', 'yymm': '2005', 'arxiv_id': '2005.14481', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14481'} | arxiv | \section{Introduction}
Inflation in the early universe (see e.g.~\cite{Sato:2015dga} for a review) practically realizes isotropic universe even if we start from high degree of anisotropy.
This is gu | aranteed by Wald's cosmic no hair theorem of the universe with a positive cosmological constant
which applies under several conditions such as the strong and dominant energy conditions~\cite{Wald:1983ky}.
To realize anisotropic inflation, one must therefore introduce anisotropic matter content breaking
the strong ... |
{'timestamp': '2021-03-29T02:06:27', 'yymm': '2005', 'arxiv_id': '2005.14476', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14476'} | arxiv | \section{Introduction}
The theory containing coupling between the scalar fields and gravity was firstly considered by Fisher who found a static and spherically symmetric solution of the Einstein mass | less scalar field equations \cite{Fisher1948}. Whereafter, variety of theories {emerge} with the introduction of scalar fields, such as dimensional reductions {and} low-energy limit of string theories, various models of supergravity, etc. The low energy limit of the string theory has the Einstein action which is supple... |
{'timestamp': '2020-08-31T02:05:23', 'yymm': '2005', 'arxiv_id': '2005.14351', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14351'} | arxiv | \section{Introduction}
\label{secintro}
A central goal of modern cosmology is to discover whether the dark
energy that appears to fill the Universe is associated with its
matter-energy content, laws | of gravity, or some alternative physics.
A compelling means of distinguishing between these scenarios is to
analyse the different observational signatures that are present in the
clumpy, inhomogeneous Universe, which powerfully complements
measurements of the expansion history of the smooth, homogeneous
Universe
\citep... |
{'timestamp': '2020-06-01T02:06:44', 'yymm': '2005', 'arxiv_id': '2005.14391', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14391'} | arxiv | \section{Introduction}
Evaluating whether a given configuration of a robot manipulator is in a feasible position, such as for motion planning applications, typically involves a collision detector that | produces a binary output: in-collision or collision-free \cite{Das2020}. However, it is often far more useful to know the distance to collision in the workspace, as closer proximities may suggest that the robot is more at risk to colliding with an obstacle. This distance to collision is useful in defining robot contro... |
{'timestamp': '2020-07-02T02:11:59', 'yymm': '2005', 'arxiv_id': '2005.14423', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14423'} | arxiv | \section{Introduction}
The phase behavior of two-dimensional (2D-) ice is the subject of recent experimental and
theoretical interest, which is still controversial~\cite{nat2015,prl,prb,ACS}.
Althoug | h, recently the report on the observation of monolayer, bilayer and trilayer ice using transmission electron microscopy (TEM)~\cite{nat2015} was challenged later~\cite{commentnat2015}, however, several theoretical studies based on both classical force fields and ab-initio simulations revealed the exciting possibility o... |
{'timestamp': '2020-06-01T02:04:02', 'yymm': '2005', 'arxiv_id': '2005.14320', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14320'} | arxiv | \section{Introduction}
The dangerous dynamics of the coronavirus spread throughout the world gives rise to numerous studies in a wide scientific spectrum. Improving known epidemic models and developi | ng new models are complicated tasks because the lack of verified statistics on the infection spread and disease dynamics. Unstable predictability of infection, ambiguity with drugs \cite{Corey:2020}, uncertainty regarding the immunity of disease \cite{Nature:2020}, and other factors (such as a viral mutation) make it d... |
{'timestamp': '2020-09-09T02:04:58', 'yymm': '2005', 'arxiv_id': '2005.14288', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14288'} | arxiv | \section{Introduction}
At least 1.5 million preventable adverse drug events (ADE) occur each year in the U.S.~\cite{IoM2006}.
Medication errors related to ADEs can occur while writing or filling pre | scriptions, or even when taking or managing medications~\cite{aronson2009medication}. For example, pharmacists must verify thousands of pills dispensed daily in the pharmacy, a process that is largely manual and prone to error. Chronically-ill and elderly patients often separate pills from their original prescription b... |
{'timestamp': '2020-10-22T02:02:54', 'yymm': '2005', 'arxiv_id': '2005.14444', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14444'} | arxiv | \section{Introduction} \label{introduction}
The chemically peculiar (CP) stars of the upper main sequence (spectral types early B to early F) are traditionally characterised by the presence of certai | n absorption lines of abnormal strength or weakness that indicate peculiar surface abundances \citep{preston74}. For most groups of CP stars, current theories ascribe the observed chemical peculiarities to the interplay between radiative levitation and gravitational settling (atomic diffusion) \citep{michaud70,richer00... |
{'timestamp': '2020-10-28T01:29:00', 'yymm': '2005', 'arxiv_id': '2005.14273', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14273'} | arxiv | \section{Introduction}
Measurements of heavy quark bound states in hadronic collisions provide
unique tools for testing quantum chromodynamics (QCD). Charmonium, the
bound state of a charm and anti | charm quark, is produced predominantly
via gluon fusion at Relativistic Heavy Ion Collider (RHIC) kinematics.
The $J/\psi$ is a colorless neutral meson with spin 1 and decays with
considerable branching ratio into lepton pairs ($\approx 6\%$ each for
dielectrons and dimuons). Various theoretical models have been de... |
{'timestamp': '2020-06-26T02:12:40', 'yymm': '2005', 'arxiv_id': '2005.14310', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14310'} | arxiv |
\section{Introduction}
Human visual attention comes in two forms. One is bottom-up, where prioritization is based solely on processing of the visual input. The other is top-down, where prioritizatio | n is based on a myriad of top-down information sources (the object context of a scene, the semantic relationships between objects, etc.~\cite{wolfe2017five,eckstein2011visual,nakayama2011situating}). When your food arrives at a restaurant, among your very first movements of attention will likely be to the fork and knif... |
{'timestamp': '2020-06-01T02:04:16', 'yymm': '2005', 'arxiv_id': '2005.14330', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14330'} | arxiv | \section{Introduction}
Scoliosis is an abnormal condition characterized by lateral spinal curvature. Early assessment and treatment planning is critical \citep{weinstein2008adolescent}. Conventionall | y, the assessment of scoliosis is performed manually by clinicians through the identification and localization of vertebral structures in spinal X-ray images. However, large inter-patient anatomical variation and poor image quality challenge clinicians to assess the severity of scoliosis accurately and reliably. Automa... |
{'timestamp': '2020-06-01T02:03:58', 'yymm': '2005', 'arxiv_id': '2005.14317', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14317'} | arxiv | \section*{Abstract}
Perceptual illusions based on the spatial correspondence between objects and displayed images have been pursued by artists and scientists since the 15th century, mastering optics t | o create crucial techniques as the linear perspective and devices as the \textit{Magic Lantern}. Contemporary video projection mapping inherits and further extends this drive to produce perceptual illusions in space by incorporating the required real time capabilities for dynamically superposing the imaginary onto phys... |
{'timestamp': '2020-06-01T02:06:26', 'yymm': '2005', 'arxiv_id': '2005.14378', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14378'} | arxiv | \section{Introduction}
Newton and Wigner \cite{Newton1949} defined three physical criteria
that must be satisfied by the point-localized state vectors of a massive
or massless particle. The first is | that a nonzero spatial translation
of a localized state vector must produce another localized state vector
that is orthogonal to the original. Then a rotation of a state vector
localized at the spatial origin at any time, $t,$ must produce another
state vector localized at the origin. Such a state vector can be labelle... |
{'timestamp': '2020-06-01T02:09:10', 'yymm': '2005', 'arxiv_id': '2005.14461', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14461'} | arxiv | \section{Introduction}
\begin{figure}[t]
\centering
\includegraphics*[scale=0.625, viewport=73 83 454 469]{figures/DWT-max_pooling.pdf}
\caption{Comparison of max-pooling, max-unpooling, and wavele | t transforms.
Max-pooling is a common down-sampling operation in the deep networks,
which easily removes the data details (the window boundary in area A) and breaks the object structure (the pole in area B).
Based on the pooling indices, max-unpooling recovers the data resolution, but not the details.
DWT keeps the... |
{'timestamp': '2020-06-01T02:07:45', 'yymm': '2005', 'arxiv_id': '2005.14424', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14424'} | arxiv |
\section{Appendix}
\subsection{Bounding the Error of Monte Carlo Estimation} \label{apx:MC}
As shown in Proposition~\ref{pro:cAcB},
the smoothed model $f^\rs$ is certified robust at an input $\X$ | in the sense of \eqref{equ:certified}
if
\begin{align*}
\Delta_\X
& = {\ell^\rs}(\X, y)
-{\ell^\rs}(\X, y_B)
-2 q_\X \\
& = {\ell^\rs}(\X, y)
- \max_{c\ne y
{\ell^\rs}(\X, c)
-2q_\X > 0,
\end{align*}
where $y$ is the true label of $\X$,
and
$$
{\ell^\rs}(\X, c) := \mathbb{P}_{\Z\sim\Pi_{\X}}\left(f(\Z)=c\r... |
{'timestamp': '2020-06-01T02:08:08', 'yymm': '2005', 'arxiv_id': '2005.14437', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14437'} | arxiv | \section{Introduction}
The aim of this note is to discuss a new variational time-discretization scheme
adapted to the structure of General Equations for Non-Equilibrium
Reversible-Irreversible Coupl | ing (GENERIC). Introduced by Grmela \& \"Ottinger,
this formulation provides a unified frame for describing the time evolution of physical systems out of equilibrium in
presence of reversible and irreversible dynamics \cite{Oettinger}.
Let $y$ denote the {\it state} of a closed, nonequilibrium physical system
and let ... |
{'timestamp': '2020-06-01T02:10:01', 'yymm': '2005', 'arxiv_id': '2005.14492', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14492'} | arxiv | \section{Introduction}\setcounter{theorem}{0}
We saw in Chapter~1 that underlying every inverse semigroup is a groupoid,
but this groupoid is not enough on its own to recover the original inverse s | emigroup multiplication.
This raises the question of what else is needed, and we answer this question in Section~2.
The underlying groupoid of an inverse semigroup combined with the natural partial order lead to a structure called an inductive groupoid
and inverse semigroups and inductive groupoids are two ways of loo... |
{'timestamp': '2021-03-23T01:19:08', 'yymm': '2005', 'arxiv_id': '2005.14482', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.14482'} | arxiv | \section{\label{sec:NewNuclearData}New Nuclear Data}
\section{\label{sec:Introduction}Introduction}
The ${^{22}}$Ne($\alpha$,$n$)${^{25}}$Mg is the main neutron source in evolved massive stars (M$>$1 | 0M$_\odot$) for the weak $s$-process (see Ref. \cite{pignatari:10}), producing most of the s-elements between iron and strontium (60$<$A$<$90). In low-mass AGB stars between 1M$_\odot$ and 4M$_\odot$ \cite{herwig:05} the reaction is activated during He-flash events, leaving its fingerprint in the final abundance of spe... |
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