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\section{Introduction}
Conformal field theory (CFT) is ubiquitous in theoretical physics. It is not a surprise that there exists a vast amount of introductory books and notes aimed to anyone approaching the subject for the first time. A comprehensive introduction is provided by the book of Di Francesco et al. \cite{DiF... | proofpile-arXiv_065-100 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{SYK $t-J$ model}
Doped Mott insulators are central to understanding the unusual normal state of high-temperature superconductors, particularly the cuprates. The low hole doping pseudogap phase of the cuprates is characterised by collinear antiferromagnetic order, low carrier concentration with poor metallic co... | proofpile-arXiv_065-101 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Given an undirected graph $G=(V,E)$, where $V$ is the set of
vertices and $E$ the set of edges, and an integer $k$, we ask for
a subset $S \subseteq V$ of $k$ vertices whose deletion maximizes
the number of connected components in the induced subgraph $G[V
\setminus S]$. Note that $G[V
\setminus... | proofpile-arXiv_065-102 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Over the past decades, skin cancer has emerged as a pressing challenge in public health, accountable for 5.4 million new cases in the United States~\cite{rogers2015incidence,sarker2018slsdeep}.
Melanoma, the most serious type of skin cancer, holds a mortality rate of 75\%~\cite{li2018dense}.
Du... | proofpile-arXiv_065-103 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Acknowledgements}
\section{Appendix}
\section{Conclusion}
A versatile framework capable of simulating \ac{ISAC} systems using realistic scenarios due to the virtue of Blender was introduced. The required workflow of such a sensing framework to incorporate all necessary propagation attributes was demonst... | proofpile-arXiv_065-104 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In noble liquid detectors for dark matter searches \cite{Chepel13} and low-energy neutrino experiments \cite{Majumdar21}, the scattered particle produces two types of signals: that of primary scintillation, produced in the liquid and recorded promptly ("S1"), and that of primary ionization, pr... | proofpile-arXiv_065-105 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The existence of non-Abelian anyons in two-dimensional condensed matter systems has been attracting growing attention due to their remarkable features and potential quantum-mechanical applications ~\cite{lei77,wil82m,wil82q,nay08}. When non-Abelian anyons are exchanged by braiding them along the... | proofpile-arXiv_065-106 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We are at the cusp of an unprecedented revolution led by thousands of low earth orbit (LEO) satellites (SATs) in space. SpaceX has already launched more than 1,500 Starlink LEO SATs \cite{SAT_Survey1, SAT_UCL_1, Starlink} covering 12 countries in 3 different continents \cite{SAT_Industry_Compari... | proofpile-arXiv_065-107 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Object detection is a heavily-investigated topic in the computer vision community, because it is fundamental and the prerequisite for many other vision tasks, such as instance segmentation \cite{Mask_RCNN_2017, ins_seg_2016} and high-level object-based reasoning \cite{NIPS2017}.
\begin{figure}... | proofpile-arXiv_065-108 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:introduction}
We live in exciting times for healthcare, standing on the edge of a fourth industrial revolution. Yet, in many ways, we are mired in the past, crippled by technical burden and antiquated ways of using technology.
The advent of embedded computers in medical practice, and ... | proofpile-arXiv_065-109 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The numerical analysis of elastic shells is a
vast field with important applications in physics and engineering. In most
cases, it is carried out via the finite element method. In the physics and computer
graphics literature, there have been suggestions to use simpler methods based
on discrete... | proofpile-arXiv_065-110 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:Intro}
This paper is a further exploration in our research on Gauss quadrature for the classical orthogonal polynomials; earlier publications are \cite{Gil:2018:FGH}, \cite{Gil:2018:GHL}, \cite{Gil:2018:AJP}, \cite{Gil:2019:NIG}. Other recent relevant papers on this topic are \cite{Bo... | proofpile-arXiv_065-111 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Ultrashort light pulses with a duration of only a few attoseconds provide direct access to the quantum dynamics of electrons in atoms, molecules, and bulk systems \cite{pazourek2015,calegari2016,nisoli2017,biswas2020}.
Thus, attosecond spectroscopy promises unprecedented possibilities ... | proofpile-arXiv_065-112 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{\label{sec:level1}Introduction\protect}
Quantum nonlocality is one of the most important properties in quantum information theory, and the most well-known manifestation of quantum nonlocality is Bell nonlocality [1], which means a quantum state violates Bell-type inequalities [2-5]. Apart from the foundational... | proofpile-arXiv_065-113 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Stefan problems model heat transfer processes that involve a change of phase. They constitute a broad field of study since they appear in a great number of mathematical and industrial significance problems
\cite{AlSo1993}, \cite{Ca1984}, \cite{Gu2003}, \cite{Lu1991}. A large bibliography ... | proofpile-arXiv_065-114 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Let $\mathcal H$ be a real Hilbert space with its inner product denoted by $\langle \cdot, \cdot \rangle$ and the induced norm denoted by $\|\cdot\|$. In this paper we study the asymptotic properties of the simultaneous projection method as applied to a possibly countably infinite number of c... | proofpile-arXiv_065-115 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The LIGO/Virgo Collaboration announced recently the observation of a merger of a black hole with mass $23.2^{+1.1}_{-1.0} {\rm M}_\odot$ with a compact object with mass $2.59^{+0.08}_{-0.09}{\rm M}_\odot$ \cite{2020ApJ...896L..44A}. The mass of the secondary component lies within the so-called l... | proofpile-arXiv_065-116 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Due to the availability of vast amounts
of data and corresponding tremendous advances in
machine learning, computer software is nowadays
an ever
increasing presence in every aspect
our society.
As we rely more and more on machine-learned
software, we become increasingly vulnerable to
prog... | proofpile-arXiv_065-117 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{\textbf{Introduction }}Let us first give some notation. For a Banach space $X$, $B_X$, $S_X$ and $X^*$ will stand for its unit ball, its unit sphere
and its dual space, respectively. All spaces are over the real
field. A slice is a subset of $B_X$ of the form
\begin{align*}
S(x^*,\alpha)=\{x\in B_X: x^... | proofpile-arXiv_065-118 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The crater chronology expresses the crater production rate (number of craters per unit time per surface area)
as a function of time. It encapsulates our understanding of the observed crater record on surfaces of different
bodies. If known, it can be used to estimate the surface age, identify the... | proofpile-arXiv_065-119 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The identity of dark matter is widely regarded as one of the most
central and important questions in science today. A related
question is: what is the phase-space distribution of dark matter
in galactic halos, and particularly what is the phase-space
distribution of dark matter in the halo ... | proofpile-arXiv_065-120 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Panoramic segmentation is an image segmentation task proposed in recent years. The main task is to segment all objects with regular attributes in the image. The panoramic segmentation task needs to segment all the regular objects in the image, so it can be used in the field of industrial vision,a... | proofpile-arXiv_065-121 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Databases or tables of all elliptic curves subject to various constraints have been published since the 1970s, including in the well known Antwerp IV conference proceedings~\cite{BirchKuyk}.
Such tables are useful both in identifying a given curve appearing in nature, or for proving a curve wi... | proofpile-arXiv_065-122 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The problem of seven bridges of K\"onigsberg considered by Leonhard Euler in 1736 \cite{Euler1736} was one of the most notable mathematical
achievements which laid the foundations of graph theory and topology.
In 1936 this seeding idea was used by Linus Pauling in physics \cite{Pauling36}
in o... | proofpile-arXiv_065-123 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We study deletion-correcting codes over the binary alphabet. Specifically, we are interested in codes $C \subset \{0,1\}^n$ such that if a codeword $x \in C$
is corrupted by deleting up to $k$ bits to obtain a subsequence
$y \in \{ 0,1\}^{n-k}$, then one can reconstruct $x$ from
$y$. Crucially... | proofpile-arXiv_065-124 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Tension between the distance anchors}
\label{sec:anchors}
R11 and R16 use the LMC, NGC 4258 and Milky Way (MW) Cepheid parallaxes as the primary distance anchors.
In Sect. \ref{subsec:LMCanchor}, we discuss the LMC and NGC 4258 anchors and show that their geometrical distances are in
tension with the R... | proofpile-arXiv_065-125 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
One of the main goals of scientific research is to contribute to our understanding of the world. The primary way that scientific knowledge gets disseminated in most fields is through academic papers, written by researchers. However, most researchers --- whether professors, students, or employee... | proofpile-arXiv_065-126 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:intro}
Modern robotic agents demand increased flexibility in the way the assigned task is represented and executed. Indeed, autonomous robotic systems need to be capable of dealing with sensing and planning operations at low cost, as well as monitoring actions in a goal-oriented ... | proofpile-arXiv_065-127 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{section:1}
The \emph{balance question} appears as an IQ test as well as a good point from which one begins an introductory lecture on information theory. A simple balance question often involves a fair balance and a set of visually identical coins in which only a counterfeit one has a di... | proofpile-arXiv_065-128 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\begin{figure*}[t!]
\centering
\includegraphics[width=0.75\textwidth]{introduction_modified.pdf}
\caption{(a) Each angle of illumination, here labelled as angular axis, corresponds to a time step in an analogous temporal axis. (b) The raw intensity diffraction pattern $\mathbf{g}_n,\:... | proofpile-arXiv_065-129 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Acknowledgment}
\section*{Reviews and Summary of Revision}
\noindent Following are the reviews we received from our latest submission to IEEE S\&P 2020, and our summary of changes following the reviews.
\section{Summary of revision}
Following the reviews from IEEE S\&P 2020, we have made the following maj... | proofpile-arXiv_065-130 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\subsection{}
Let $(\bfG,\bfG')$ be a reductive dual pair over a finite field $\bff_q$ of odd characteristic.
Let $G,G'$ denote the groups of rational points of $\bfG,\bfG'$ respectively.
By restricting the Weil character with respect to a non-trivial character $\psi$ of $\bff_q$
to $G\times G... | proofpile-arXiv_065-131 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Appendix}
\subsection*{Proof for Theorem \ref{thm:calibrate1}}
\begin{definition}\label{def:cal} \cite{bartlett2006convexity}
A classification-calibrated loss function $\ell$ is defined as the follows: there exists a non-decreasing convex function $\Psi(\cdot)$ that satisfies:
$
\Psi\left(R(f) - R^*\right) ... | proofpile-arXiv_065-132 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{INTRODUCTION}
The use of Unmanned Aerial Vehicle (UAV) networks is considered
essential in a number of communication scenarios \cite{UAV01,
UAV02,UAV_rev1,UAV_rev2,UAV_rev3}. In wireless communications,
{Flying Ad-Hoc Networks (FANETs) composed by multiple UAVs} may be
adopted to set up a communication networ... | proofpile-arXiv_065-133 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Over the past decade, moving computing, control, and data storage into the cloud has been an important trend in order to utilize much needed abundant computing resources to handle explosive traffic demands. However, this relocation introduces network delays that bring significant challenges relat... | proofpile-arXiv_065-134 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Interactions of cosmic-ray particles with detector materials can produce radioactive isotopes that create backgrounds for experiments searching for rare events such as dark matter interactions and neutrinoless double beta decay. Silicon is a widely used detector material becaus... | proofpile-arXiv_065-135 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The orbital configuration of Saturn'{}s mid-sized moons, Mimas, Enceladus, Tethys, Dione and Rhea from inner to outer orbits, is puzzling:
they are trapped in mean-motion resonances
for every other pairs (Mimas-Tethys 4:2 and Enceladus-Dione 2:1), but not for adjacent pairs.
The observed current... | proofpile-arXiv_065-136 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Materials lacking inversion symmetry may display useful properties such as piezoelectricity and ferroelectricity, which have wide applications in modern industries.
In particular, ferroelectric materials are not only prototypical systems for studying spontaneous symmetry breaking and st... | proofpile-arXiv_065-137 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Advances in photon measurements have stimulated innovation in encrypted communications and information processing, distinguished by a single datum being encoded in a single photon \cite{Tittel:01,chen:06}.
As relevant techniques mature, accuracy in photon generation and detection is growing to co... | proofpile-arXiv_065-138 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We are approaching the close of a century of mathematics, following Hausdorff's seminal work \cite{Hausdorff}, dedicated to a panoply of measure- and dimension-theoretic research regarding the intricate fractal geometry of sets arising from classical Diophantine approximation and its manifold a... | proofpile-arXiv_065-139 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The combination of large public datasets and novel machine learning architectures has provided state of the art predictive power in many diverse fields, such as computer vision and machine translation. These models are largely regarded as opaque \textit{black-box} models. With their prevalence ... | proofpile-arXiv_065-140 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Let $G=(V,E)$ be a nontrivial simple connected graph,
where $V = \{v_1, v_2, \cdots, v_n\}$ and $E$ are the vertex set and edge set of $G$, respectively.
$A(G)=(a_{ij})_{n \times n}$ is the adjacency matrix of $G$,
where $a_{ij} =1$ if $v_i v_j \in E$, and $a_{ij} =0$ otherwise.
Let $d_i$ be... | proofpile-arXiv_065-141 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
To estimate a regression when the
errors have a non-identity covariance matrix, we
usually turn first to generalized least squares (GLS). Somewhat
surprisingly, GLS proves to be computationally challenging
in the very simple setting of the unbalanced crossed random
effects models that we study h... | proofpile-arXiv_065-142 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
A fundamental goal in computer vision is to build representations of visual data that can be used towards tasks such as object classification, detection, segmentation, tracking, and action recognition \cite{ImageNet,pascalch06,soomro2012ucf101,hmdb51}.
In the past decades, a lot... | proofpile-arXiv_065-143 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\subsection*{Acknowledgments}
We acknowledge the contributions of the processor development and fabrication teams at D-Wave Systems, without whom this work would not be possible. The work of ALB, EDD and CN was carried out under the auspices of the U.S.~DoE through the Los Alamos National Laboratory, operated by Tri... | proofpile-arXiv_065-144 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
High throughput phenotyping (HTP), the is a limiting factor facing modern agriculture. Due to labor intensive tasks, phenotyping crops to identify color, stand count, leaf count, plant height, etc. is severely limited. This ``phenotying bottleneck'' restricts our capability to examine how pheno... | proofpile-arXiv_065-145 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The sensitivity of geographical analyses to the spatial structure of data is well known since the Modifiable Areal Unit Problem was put forward by \cite{openshaw1984modifiable}. This type of issue has been generalized to various aspects since, including temporal granularity \citep{cheng2014modi... | proofpile-arXiv_065-146 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Related Work}\label{sec:related-work}
\paragraph*{Global Termination}
\emph{Global} termination detection (GTD) is used to determine when
\emph{all} processes have terminated
\cite{matternAlgorithmsDistributedTermination1987,matochaTaxonomyDistributedTermination1998}.
For GTD, it suffices to obtain global m... | proofpile-arXiv_065-147 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{sec:intro}
The potential field source surface (PFSS) model, established in the 1960s \citep{schatten1969,altschuler1969}, remains the baseline against which more sophisticated coronal magnetic field models are compared, holding its own as a first approximation for the heliospheric magneti... | proofpile-arXiv_065-148 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The study of the coherent dynamics of spin ensembles in solids has a long history.\cite{NMR} More recent advances allow the study of single-spins in mesocopic and nanoscale devices.\cite{Awschalom99,Sarma04}
Physical confinement to low-dimensions enhances interaction effects and leads to novel ... | proofpile-arXiv_065-149 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
One of the most significant incentives for recent research on movement assessment, is the availability of affordable 3D skeleton recognition devices, such as Kinect, which redefine the target audience of applications that are based on user pose and movement. Addressing this problem is considered ... | proofpile-arXiv_065-150 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\subsection{Model complexity}
\paragraph{Number of parameters.} As shown below, using multiple modalities does not impact the number of parameters significantly. Interestingly, majority of the parameters correspond to the BERT caption encoding module. We also note that the difference in the video encoder comes from t... | proofpile-arXiv_065-151 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The bent-core liquid crystals (BLCs) are a novel class of liquid crystal (LC) mesogens that manifest various unique and exciting properties such as chirality, ferroelectricity and biaxiality \cite{Photinos_biaxial_JMC,Takezoe_BLC_JJAP,Jakli_BLC_LCR,Francescangeli_cybo_SM,Punjani_Golam,Keith_NBLC... | proofpile-arXiv_065-152 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Proofs of the main results}
\label{App:Proofs}
This Appendix provides the proofs of the technical results.
In the following proofs, without loss of generality, we proceed as if the sample proportions $ n_{k}/n $ do not depend on $ n $ and equal their limits $ \rho_{k} $.
Our results are applicable as long ... | proofpile-arXiv_065-153 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Up to half of the baryons in the present-day Universe are unaccounted for. We know how many baryons were present in the early Universe from fluctuations in the cosmic microwave background (CMB), and some 2 billion years later at redshift 3, the majority of the baryon budget of the Universe could... | proofpile-arXiv_065-154 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Recent years witness a rapid development of machine learning and its succeeded applications such as computer vision~\cite{ma2018variational,zhu2019image,ma2019shoe}, natural language processing~\cite{ma2013vector,ma2018short} and cross-modalities learning~\cite{zhu2019image,xu2018cross} with many... | proofpile-arXiv_065-155 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{INTRODUCTION} \label{introduction}
In order to safely and efficiently navigate in crowded public spaces, Unmanned Ground Vehicles (UGVs) need to reason about their static and dynamic surroundings and predict the occupancy of space to reliably perform obstacle avoidance\cite{ess2009moving}.
Generally, static o... | proofpile-arXiv_065-156 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The conditional autoregressive (CAR) model popularized by \citet{bym} (BYM) has become ubiquitous in spatial epidemiology and disease mapping. In addition to being used across a wide range of applications, extensions have been made to spatiotemporal \citep{waller:carlin} and general multivariat... | proofpile-arXiv_065-157 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\medskip
The main objective of the paper consists in studying well-posedness
and probabilistic representation of the Fokker-Planck PDE
with terminal condition
\begin{equation} \label{EDPTerm0}
\left \{
\begin{array}{lll}
\partial_t {\bf u} &=& \frac{1}{2}
\displaystyle{\sum_{i,j=1}^d} \part... | proofpile-arXiv_065-158 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{S1}
The last two decades have witnessed lots of interest in
Anti-de-Sitter (AdS) spacetimes and their thermodynamics as a result
of gauge/gravity dualities\cite{Maldacena1,GKP,Witten1}. These
dualities relate the physics of AdS spacetimes in the bulk at weak
coupling to that of conformal fi... | proofpile-arXiv_065-159 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{SecIntro}
Given the class of metric spaces, consider the following three kinds of morphisms: (1) homeomorphisms --- maps preserving the topological structure ---, (2) coarse equivalences --- maps preserving the large-scale geometry --- and (3) bijective coarse equivalences. In short, coars... | proofpile-arXiv_065-160 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:introduction}}
\IEEEPARstart{T}he recent years have seen increasing research on learning the representation of complex categorical data ('categorical representation' for short) \cite{bengio2013representation,boriah2008similarity,bai2013impact,wang2015coupled,seth2016archetypal}, which ... | proofpile-arXiv_065-161 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
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\de... | proofpile-arXiv_065-162 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Accelerating AI and Its Implication on AI Tax}
\label{sec:accelerate}
There are numerous efforts underway to accelerate AI~\cite{aichip, habana, chen2014diannao, intelncs2, mahajan2016tabla, xilinx2018alveo, nvdla, googlecoral}. But given the significance of the AI tax in end-to-end AI performance and in... | proofpile-arXiv_065-163 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\IEEEPARstart{I}{mage} captioning, i.e., automatically generating descriptive sentences of images, has received increasing attention in the fields of vision and language in recent years. Compared with other image semantic analysis tasks such as object detection\cite{zhu2019attention,chen2016disc... | proofpile-arXiv_065-164 | {
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} |
\section{Introduction}
In his letter \cite{Deligne} to B. Malgrange, P. Deligne
introduced the
notion of a sheaf
with a filtration indexed by
a local system of ordered sets
in order to express the Stokes phenomenon of
a linear differential equation of one complex variable
in a sheaf-theoretic way.
The notion has ... | proofpile-arXiv_065-165 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Acknowledgements}
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no 812997.
\bibliographystyle{splncs04}
\section{Conclusion and Future Work}
In this paper, we have presented our solutions for two t... | proofpile-arXiv_065-166 | {
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} |
\section{Introduction}
Most real-world data comes with a long-tailed nature: a few high-frequency classes (or head classes) contributes to most of the observations, while a large number of low-frequency classes (or tail classes) are under-represented in data. Taking an instance segmentation dataset, LVIS~\citep{gupta20... | proofpile-arXiv_065-167 | {
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\section{#1}}
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\begin{center} \L... | proofpile-arXiv_065-168 | {
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} |
\section{Introduction}\label{sec:introduction}
The dilemma of exploration versus exploitation is common in scenarios involving decision-making
in unknown environments. In these contexts, exploration means learning the environment while exploitation means taking empirically {computed} best actions. When finite time perf... | proofpile-arXiv_065-169 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{\textsc{Melody UI}\xspace}
\label{sec:system}
Based on our design considerations in Section~\ref{sec:requirement} and our \textsc{Melody}\xspace algorithm in Section~\ref{sec:model}, we present \textsc{Melody UI}\xspace, an interactive system for helping users to understand an ML model's decisions on an inpu... | proofpile-arXiv_065-170 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\setcounter{equation}{0}
There are many works that study gapped boundaries in 2+1 d bosonic topological orders that are
characterized by anyon condensation \cite{bais_broken_2002, bais_condensate-induced_2009, bais_theory_2009, hung_ground_2015, lan_gapped_2015, hung_generalized_2015, kapustin_to... | proofpile-arXiv_065-171 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The study of the distribution of the logarithm of the Riemann zeta-function was precipitated by the work of Bohr and Jessen~\cite{BJ} in the early 1930s.
They showed that for a fixed $\frac12 < \sigma \leq 1$ and any rectangle $\mathcal{R}$ in the complex plane with sides parallel to the coord... | proofpile-arXiv_065-172 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Acknowledgement}
SJ and SNK acknowledge IIT-Delhi post-doctoral fellowship.
\section*{Disclosures}
The authors declare no conflicts of interest.
\section*{Acknowledgement}
SJ and SNK acknowledge IIT-Delhi post-doctoral fellowship.
\section*{Disclosures}
The authors declare no conflicts of interest.
| proofpile-arXiv_065-173 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Multi-body hadronic $D^{0(+)}$ decays provide an ideal laboratory to study strong and weak interactions.
Amplitude analyses of these decays offer comprehensive information of quasi-two-body $D^{0(+)}$ decays, which are important to explore $D\bar D^0$ mixing,
charge-parity ($CP$) violation and q... | proofpile-arXiv_065-174 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Ultrashort laser pulses are able to change the magnetic order of materials within pico- or femtoseconds, orders of magnitude faster than conventional spin-based devices operating on nanosecond timescales \cite{Kirilyuk2010,Nemec2018}. Usually, the electromagnetic field components of a laser puls... | proofpile-arXiv_065-175 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Recently there have been many efforts to imbue deep-learning models with the ability to perform causal inference. This has been motivated primarily by the inability of traditional correlative models to make predictions on interventional and counterfactual questions \cite{pcrbook, pearlbook}, as ... | proofpile-arXiv_065-176 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Future Work}
\section{Conclusion}
In this paper, we design this tracing and notification system based on blockchain and smart contract, which provides three types of services: location-based contact tracing, Bluetooth-based contact tracing and health tracing services. Our system can trace the user's travel ... | proofpile-arXiv_065-177 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
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\usetikzlibrary{decorations.path... | proofpile-arXiv_065-178 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec.introduction}
We consider the design of algorithms for solving smooth nonlinear optimization problems with equality constraints. Such problems arise in various important applications throughout science and engineering.
Numerous algorithms have been proposed for solving \emph{determi... | proofpile-arXiv_065-179 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
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"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:introduction}
From the perspective of most computational analysis, music can be defined as sound, its important features yielding to the decomposition of waveforms. However, for the vast majority of history, musical sound could not be separated from its source; to whatever degree it may... | proofpile-arXiv_065-181 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Triangles are the basic substructure of networks and play critical roles in network analysis.
Due to the importance of triangles, triangle counting problem (TC), which counts the number of triangles in a given graph, is essential for analyzing networks and generally considered as the first funda... | proofpile-arXiv_065-182 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Relativistic jets produce a vast range of flaring activity that can last from a few minutes, as in the case of gamma-ray bursts, up to months or years, as in the case of active galactic nuclei. Jets and their flares are most easily studied in blazars, where the jet of the active galaxy points tow... | proofpile-arXiv_065-183 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{sec-introduction}
Emulation of quantum condensed-matter systems using ultracold atoms is an active area in the studies of quantum simulations \cite{Lewenstein2007aip,Georgescu2014rmp,Safronova2018rmp,Schaetz2013njp}.
This is because ultracold atoms can provide a versatile platform with a ... | proofpile-arXiv_065-184 | {
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} |
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\title... | proofpile-arXiv_065-185 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
For many decades, quantum phase transitions (QPT) have been the subject of intense studies in several areas of physics~\cite{Sachdev2011}. In a closed system with unitary dynamics, the hallmark of an equilibrium QPT is the non-analytic behavior of an observable upon changing a physical parameter... | proofpile-arXiv_065-186 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Speech is a short-term stationary signal~\citep{quatieri2006discrete} which contains information related to the spoken content, speaker's identity, speaker's emotion, spoken language, etc. The speaker recognition technology recognizes persons from their speech~\citep{kinnunen2010overview1}. The \... | proofpile-arXiv_065-187 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Correlation measurements are a standard tool to investigate quantum systems. To determine whether the quantum system is separable or entangled, correlation measurements have been actively performed alongside of various theoretical investigations. (e.g.,\cite{bell,clauser,aspect,leggett,vedral,gu... | proofpile-arXiv_065-188 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Jammed out-of-equilibrium structures forming from attractive particles are ubiquitous in nature and many consumer products. Being metastable solids, they are mechanically rigid structures that typically form at low particle density due to a space-spanning cluster of aggregated particles.
Importan... | proofpile-arXiv_065-189 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Application to Zero-Loss Payment System}\label{ssec:payment}
\ARPN{Reviewer: before evaluation?}
In this section, we describe how the Longlasting Blockchain\xspace can be used to implement a zero-loss payment system as long as assets are fungible. The payment system requires users to deposit an amount of ass... | proofpile-arXiv_065-190 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
The rapidly growing adoption of Artificial intelligence (AI) has led to the development of supervised machine learning, in particular, deep neural networks, for generating predictions of high accuracy~\cite{corr/abs-1901-04592}. While the advancement has the potential to make s... | proofpile-arXiv_065-191 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The Mean Field Games (MFG in short) theory concerns the study of differential games with a large number of rational, indistinguishable agents and the characterization of the corresponding Nash equilibria.
In the original model introduced in \cite{hcm,ll}, an agent can typically act on its v... | proofpile-arXiv_065-192 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{section:Introduction} Let $X$ be an $n$-dimensional compact complex manifold. According to Sullivan [Sul76], Harvey-Lawson [HL83] and Streets-Tian [ST10, Definition 1.5] (where the name was coined), a Hermitian metric (namely a $C^\infty$ positive definite $(1,\,1)$-form) $\omega$ on $X$ is... | proofpile-arXiv_065-193 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
When can the set of homotopy classes of maps between spaces $X$ and $Y$ be
computed? That is, when can this (possibly infinite) set be furnished with a
finitely describable and computable structure? A reasonable first requirement is
that $X$ and $Y$ should be finite complexes; this ensures tha... | proofpile-arXiv_065-194 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Preliminary}
\label{sec:pre}
We assume that a dataset $D$ consists of samples of the form $({\bm{x}},y)\in \mathcal{X}\times\mathcal{Y}$, where ${\bm{x}}$ is the feature and $y$ is the label. A model $f$ is a mapping from feature space to label, i.e., $f: \mathcal{X}\rightarrow \mathcal{Y}$. We assume that th... | proofpile-arXiv_065-195 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
A program synthesis solver aims to find a program or expression $P$
that reasons about a set of input arguments $x$ and satisfies some logical
specification $\sigma$ for all possible values that those input arguments may take.
That is, synthesis solvers find a solution to formulas of the
foll... | proofpile-arXiv_065-196 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{introduction}
In classical mechanics, the configuration space is a finite dimensional smooth manifold $M$ where the tangent bundle $p_M:TM \to M$ corresponds to the velocity space. This geometrical object plays a relevant role in the Lagrangian formalism between tangent and cotangent bundles (cf. \cite{Kle}). ... | proofpile-arXiv_065-197 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{sec:intro}
Over the last few decades, the impact of globalization has transformed the semiconductor manufacturing and testing industry from vertical to horizontal integration. The continuous trend of device scaling has enabled the designer to incorporate more functionality in a system-on-c... | proofpile-arXiv_065-198 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\noindent Fix a natural number $r$. The moduli space ${\mathcal{M}}^f$ of rank $r$ framed sheaves on the plane is an algebro-geometric incarnation of the instanton moduli space that gives rise to supersymmetric ${\mathcal{N}}=2$ $U(r)$--gauge theory on ${\mathbb{R}}^4$ in the $\Omega$--backgrou... | proofpile-arXiv_065-199 | {
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} |