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\section{Introduction}
With the explosive growth of Internet of Things (IoT) devices, wireless communication networks (WCNs) are increasingly facing the challenge of allocating finite transmit power and bandwidth for system utility maximization~\cite{xu2021survey}. Accordingly, one needs to design advanced radio resou... | proofpile-arXiv_065-0 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Vector Quantised Variational AutoEncoder (VQ-VAE) ~\cite{van2017neural} is a popular method developed to compress images into discrete representations for the generation. Typically, after the compression and discretization representation by the convolutional network, an autoregressive model i... | proofpile-arXiv_065-1 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Blazars are the most extreme subclass of active galactic nuclei (AGN) with a relativistic jet closely aligned to the observer's line of sight \citep{1984RvMP...56..255B, 1995PASP..107..803U}. Blazars are divided into flat-spectrum radio quasars (FSRQs) and BL~Lacertae objects (BL~Lacs) based on ... | proofpile-arXiv_065-2 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{intro}
The astrophysical plasmas characterized by high Lundquist number
$S\equiv Lv_A/\eta$ ($L\equiv$ length scale of the magnetic field
\textbf{B} variability, $v_A\equiv$ Alfv\'en speed, and $\eta\equiv$
magnetic diffusivity) satisfy the Alfv\'en's flux-freezing theorem in presence of l... | proofpile-arXiv_065-3 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:intro}
Space provides a useful vantage point for monitoring large-scale trends on the surface of the Earth~\cite{manfreda2018use,albert2017using,yeh2020using}. Accordingly, numerous EO satellite missions have been launched or are being planned. Many EO satellites carry multispectral o... | proofpile-arXiv_065-4 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Limitations and Conclusion}
\label{sec:conclusion}
A major limitation of NeRF-SR{} is that it does not enjoy the nice arbitrary-scale property. It also introduces extra computation efficiency, albeit it consumes no more time than training a HR NeRF.
In conclusion, we presented NeRF-SR{} the first pipeline of... | proofpile-arXiv_065-5 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Machine Learning (ML) applications recently demonstrated widespread adoption in many critical missions, as a way to deal with large-scale and noisy datasets efficiently, in which human expertise cannot be used due to practical reasons. Although ML-based approaches have achieved impressive result... | proofpile-arXiv_065-6 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Surface codes are an important class of error correcting codes in fault tolerant quantum computation. In literature, rigorous constructions of them are always done in cases of $\mathbb{Z}_2$ -vector spaces, which is reasonable because theories about qubit quantum computation are highly successful... | proofpile-arXiv_065-7 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
There are numerous links between probabilistic cellular automata (PCA) \cite{Louis18} and percolation (see \cref{subsec:models} for the definitions of our models of interest) \cite{Grimmett99}. In the case of additive PCA this link is very apparent, since they may be viewed as o... | proofpile-arXiv_065-8 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction} \label{intro}}
\IEEEPARstart{F}{ace} detection, one of the most popular, fundamental and practical tasks in computer vision, is to detect human faces from images and return the spatial locations of faces via bounding boxes~\cite{pascalvoc}, as shown in Fig.~\ref{fig:fd_intro}. Starting with the ... | proofpile-arXiv_065-9 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Radar detector design has been a problem of long-standing interest in the radar literature \cite{Meyer1973}.
Optimal target detection is achieved by a test derived from the Newman-Pearson (NP) criterion, which guarantees the highest probability of detection for a given probability of false ala... | proofpile-arXiv_065-10 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Binary prediction or classification is a fundamental problem in statistics and machine learning with applications in many scientific disciplines including economics. The predictive ability of statistical models used for binary classification is frequently evaluated through the receiver operating... | proofpile-arXiv_065-11 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{s1}
A {\it mixed graph} is a graph in which directed and undirected edges between two distinct vertices may exist at most once. To distinguish, we refer an {\it arc} to as a directed edge in a mixed graph. An {\it undirected graph} is a mixed graph without arcs. For a mixed graph $G$ of... | proofpile-arXiv_065-12 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The noninteracting nature of photons makes them efficient for long distance communication but nonefficient for information processing. The interaction
among photons is the corner stone for their physical implementation in
quantum information processing and quantum logic gates \cite{OBrien200... | proofpile-arXiv_065-13 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction
For a classical Hamiltonian system with $n$ degrees of freedom, the existence of $n$ integrals of motion in involution is required to make it integrable in the
Liouville sense. These integrals must be well-defined functions in the phase space and functionally independent. On the other hand, a supe... | proofpile-arXiv_065-14 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Datasets form the backbone of machine learning research (MLR). They are deeply integrated into work practices of machine learning researchers, serving as resources for training and testing machine learning models. Datasets also play a central role in the organization of MLR as a scientific field... | proofpile-arXiv_065-15 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Introduction}
Layered transition metal dichalcogenides (TMDs) are among the most studied two-dimensional (2D) materials in the last decade. Their atomically-thin structure and physical properties have attracted attention not only because of their interesting fundamental physics but also due to their potenti... | proofpile-arXiv_065-16 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{introduction}
The interaction between light and matter is an important subject in the field of quantum optics.
The study of light toward the perspective of quantum leads to some interesting phenomena different from classical ones.
One of the most famous phenomenon is induced transparency (such as electromagn... | proofpile-arXiv_065-17 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
A number of new and upcoming applications require ultra-high data rates that are beyond the capabilities of mmWave-based 5G communication systems. In order to meet these requirements, higher frequencies such as the THz band (0.1-10 THz) are being investigated because of the availability of consid... | proofpile-arXiv_065-18 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{{\Large\selectfont{Appendix}}}
\input{ethics}
\section{Dataset and Annotations}
\subsection{Data Collection and Preprocessing} \label{app:preprocessing}
The IT and CL cases come from the Supreme Court of India, Bombay and Kolkata High Courts. For CL cases, we use the cases from the tribunals of NCLAT (Na... | proofpile-arXiv_065-19 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
COVID-19 has provided the world with an exceptional challenge. The first relates to the methods that countries use to suppress the spread of the virus and the second is how to re-start economies \cite{chen2020covid}. One of the core methods that could be used to re-start travel within each countr... | proofpile-arXiv_065-20 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Micro-Expressions (MiEs) are transient facial expressions that typically last for $0.04$ to $0.2$ seconds~\cite{matsumoto2008culture,ekman1997face}. Unlike conventional facial expressions (or Macro-Expressions, MaEs) that last for longer than $0.2$ seconds, MiEs are involuntary. They are diffic... | proofpile-arXiv_065-21 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
In dictionary learning, the ultimate goal is to obtain an overcomplete dictionary to represent original samples. Similar to subspace learning, the to-be-learned dictionary can be further utilized to solve different categories of problems, such as image denoising \cite{peng2014de... | proofpile-arXiv_065-22 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We consider the problem of certifying the stability of either continuous-time dynamical systems
\begin{align} \label{def:dyn-sys}
\dot{x} =f(x)
\end{align}
or discrete-time systems
\begin{align} \label{def:dyn-sys}
x^+ =f(x),
\end{align}
where $f:D \rightarrow \mathbb{R}^n$ is a con... | proofpile-arXiv_065-23 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The `cosmic web' is a term used to evoke the structure of the Universe on the very largest of scales. In this model, dense clusters and galaxy groups are connected by diffuse filaments, forming a web like structure, and are interspersed with large, empty voids. Galaxy surveys have provided a str... | proofpile-arXiv_065-24 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In this paper we present and analyze a high-order time discontinuous Galerkin finite element method for the time integration of second order differential problems as those stemming from e.g. elastic wave propagation phenomena.
Classical approaches for the time integration of second order diffe... | proofpile-arXiv_065-25 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
During the last two decades, there has been great progress in the design of quantum devices based on waveguide structures. The latter is comprised of quantum emitters of natural or artificial atoms (qubits) that are coupled with the one--dimensional optical channel. Numerous applications in q... | proofpile-arXiv_065-26 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Scattering experiments, whether real or fictitious, offer a simple way to gain understanding of the physical implications of a theory. The small-deflection limit provides a further simplified testing ground where precise analytical results are usually possible. The study of small-angle scatter... | proofpile-arXiv_065-27 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction and Problem Formulation}\vspace*{-0.05in}
\noindent In this paper we consider a family of sweeping processes with controlled polyhedral moving sets defined on a Hilbert space $\mathcal{H}$. To describe this family, fix some $x_{0}\in \mathcal{H}$ and, for arbitrary control functions $\left(u,b\ri... | proofpile-arXiv_065-28 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{Sec:Intro}
In this paper, we address the classical problem of minimizing the sum
of a smooth function $f$ and a nonsmooth function $\phi$,
also known under the name \emph{composite optimization}.
This setting received much attention throughout
the last years due to its inherent practica... | proofpile-arXiv_065-29 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{intro}
\begin{figure}[tbp]
\includegraphics[width=0.95\columnwidth, clip]{ph_diag_z2_large.eps}
\caption{Sketch of the phase diagram of the 3D ${\mathbb Z}_2$ gauge
Higgs model (\ref{HiggsH}). The dashed line is the self-dual line,
cf. Eq.~(\ref{selfdual}), the thick line correspond... | proofpile-arXiv_065-30 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We gave a characterisation of the $(c)$-regularity in Theorem 2.4 of \cite{bekkakoike}.
In order to show the theorem, we used a statement that
a one-dimensional subspace of $\mathbb{R}^{n+p}$
$$
K_x := (Ker \ d\rho (x) \cap T_x X)^{\bot} \cap T_x X
$$
is orthogonal to $\mathbb{R}^n (:= \mathb... | proofpile-arXiv_065-31 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The properties of particle interactions determine the evolution of a quantum chromodynamical (QCD) system. Thorough understanding of these properties can help answer many fundamental questions in physics, such as the origin of the Universe or the unification of forces. This is one of the importa... | proofpile-arXiv_065-32 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Automatic speech recognition models (ASRs) are widely used in a variety of applications, such as mobile virtual assistants (Siri, Google Assistant), in-vehicle voice navigation and voice smart home appliances like Alexa and Google Home with built-in voice assistants. Figure~\ref... | proofpile-arXiv_065-33 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Let $W$ be a finite Coxeter group.
The Iwahori-Hecke algebra $\Heq$ of $W$ is a deformation of the group algebra of $W$ with nonzero parameter $q$.
Iwahori-Hecke algebras arise in the representation theory of finite groups of Lie type and Knot theory \cite{Geck2000a}.
Setting $q=0$ res... | proofpile-arXiv_065-34 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\IEEEPARstart{I}{mages} captured under low-light conditions often suffer from poor visibility, unexpected noise, and color distortion.
In order to take high-quality images in low-light conditions, several operations including setting long exposures, high ISO, and flash are commonly applied. Howe... | proofpile-arXiv_065-35 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Episodic accretion onto low-mass pre-main sequence (PMS) stars is no longer considered an oddity.
It is now considered as one of the important stages in the grand scheme of evolution of the low-mass PMS
stars, even though it is a poorly understood phenomenon. The short outburst timescales comp... | proofpile-arXiv_065-36 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{introduction}
Let $G_n=GL_n(F)$ be the general linear group of rank $n$ defined over a $p$-adic field $F$. Given a unitary supercuspidal representation $\tau$ of $G_m$ and two positive integers $c,~a$, we can attach a Speh representation $\rho_c(\tau_a)$, and it would be interesting to see when the followin... | proofpile-arXiv_065-37 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Resolution of two point sources is one of the most crucial elements in the science of imaging and sensing. The quality of fine resolution relies on two major factors: resolution capability (how small a separation can be discriminated) and measurement estimation credibility (how much the measure... | proofpile-arXiv_065-38 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Humans have a native capability to manipulate objects without much effort. We use different sensing modalities, e.g., visual, auditory and tactile sensing, to perceive the object properties and manipulate them in space. Among these sensing modalities, tactile sensing is not affected by changes of... | proofpile-arXiv_065-39 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sect1}
In the past decades, magnetic fields in galaxy clusters have been
observed and studied \citep[see review
of][]{han17,ct02,gf04,fgs+08,fgg+12}. The magnetic fields are
crucial for a comprehensive understanding of radio emission from the
diffuse intracluster medium (ICM). The pre... | proofpile-arXiv_065-40 | {
"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}
On 22 September 2017, IceCube reported a neutrino event with energy $\sim 290\ \rm TeV$, which was shown to be associated with the blazar TXS 0506+056 \citep{aartsen1807science}. This opened a window of high energy neutrino astrophysics. The origin of high energy neutrinos is not c... | proofpile-arXiv_065-42 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In the last three decades, the acquisition of data on the shape of small heliocentric bodies, by ground and space-based observations \citep{Hudson1995,Hanuvs2013,Hanuvs2017} and by space-mission explorations -- such as OSIRIS-REx and Hayabusa spacecraft \citep{Yoshikawa2015,Lauretta2017} -- foste... | proofpile-arXiv_065-43 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In our project, we focus on NLP based hybrid recommendation systems. Our data is from Yelp Data. For our hybrid recommendation system, we have two major components: the first part is to embed the reviews with Bert model and word2vec model; the second part is the implementation an item-based colla... | proofpile-arXiv_065-44 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{INTRODUCTION}
The evolution of materials technology in the field of infrared (IR) detection has experienced a rapid turnaround in the late nineties when traditional bulk materials such as HgCdTe, InSb were replaced by quantum-engineered structures as the former exhibited limited applicability due to the non-un... | proofpile-arXiv_065-45 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Few-shot object detection (FSOD) \cite{yan2019meta,wang2020frustratingly,xiao2020few,wu2020multi,zhu2021semantic} aims at detecting objects out of base training set with few support examples per class.
It has received increasing attention from the robotics community due to it... | proofpile-arXiv_065-46 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:introduction}
The new generation of galaxy surveys are mapping large swaths of the observable Universe using a variety of objects, and with increasing completeness \cite{Abbetal,Amendola:2012ys,Ivezic:2008fe,Benitez:2014ibt}.
These surveys allow us to infer cosmological information fr... | proofpile-arXiv_065-47 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:intro}}
\IEEEPARstart{D}{iscriminative} feature extraction from 3D meshes is fundamentally important for computer graphics \cite{hanocka2019meshcnn,ranjan2018generating} and computer vision \cite{dai2017scannet,scenenn-3dv16,Matterport3D}. Its success is of great value to multiple emerg... | proofpile-arXiv_065-48 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In the context of open-source tools and multi-messenger astronomy, it is essential to provide the community with reliable and accessible analysis tools to reproduce state-of-the-art scientific results and to facilitate the incorporation of those tools in custom analysis chains for future work. W... | proofpile-arXiv_065-49 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Keyword spotting is a task to detect predefined words from continuous speech. It is of importance for human-computer interaction, and is widely used in various smart devices and voice retrieval systems. In recent years, due to the rapid development of artificial intelligence technology, keyword... | proofpile-arXiv_065-50 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The purpose of gesture recognition is to distinguish users' gestures in videos. Gesture recognition is given a video sequence as input, unlike an image in ImageNet \cite{deng2009imagenet}. Thus, simply using spatial features of video frames cannot effectively achieve gesture recognition. Spatiot... | proofpile-arXiv_065-51 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
The studies related to black hole shadows have a long history if we trace their research trajectory. The earliest study was the deflection of light in a strong gravitational field, which was confirmed by the observation of the solar eclipse in 1919 and the subsequent developmen... | proofpile-arXiv_065-52 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Dance and music are intimately related. They share a movement form wherein for dance, movements are articulated visually as body motion whereas for music, movements manifest themselves via an auditory and allegorical nature. These movements, whether visual in dance or auditory in music, evoke emo... | proofpile-arXiv_065-53 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Our main result is the following.
\begin{theorem}\label{thm:general_three_col}
For any planar convex body $C$ there is a positive integer $m=m(C)$ such that any finite point set $P$ in the plane can be three-colored in a way that there is no translate of $C$ containing at least $m$ points of $... | proofpile-arXiv_065-54 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\subsubsection{Video / Text Features}
Eight video features and five text features are used, see \cref{tab:feature_intro}.
\input{table/feature_intro.tex}
\section{Experiments of video description datasets}
\rebuttal{
\subsection{The original performance}
The original performance of the state-of-the-art is reported in \... | proofpile-arXiv_065-55 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Multi-label text classification techniques enable predictions of treatable risk factors in patients, aiding in better life expectancy and quality of life~\cite{aubert2019patterns}. The goal of multi-label learning is to predict a subset of labels for an unseen instance from a given label set whi... | proofpile-arXiv_065-56 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The classical one-sample goodness-of-fit problem is concerned with testing the null hypothesis in which the cumulative distribution function (cdf), $F$, of an independent and identically distributed (iid) random sample $X_1, \ldots, X_n$ equals a certain prescribed cdf $F_0$. The most popular cl... | proofpile-arXiv_065-57 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Discoveries of topological materials, such as topological insulators, Dirac and Weyl semimetals,
have revolutionised contemporary physics~\cite{hasan2010colloquium, armitage2018weyl}.
Moreover, these materials
hold promises for upcoming technologies based on quantum science and electronic... | proofpile-arXiv_065-58 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{introduction}
After being introduced in \citep{sutskever2014sequence, cho2014properties, bahdanau2016neural}, Neural Machine Translation(NMT) rapidly replaced and outperformed the traditional Statistical models for translation tasks. It has since achieved state-of-the-art performances for a... | proofpile-arXiv_065-59 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
In the modern context of machine learning, deep neural networks (DNNs) have enjoyed enormous success by leveraging the rich availability of labeled data for supervised training. Despite this, deep supervised learning is primarily limited in terms of scaling towards unseen samples due to the high ... | proofpile-arXiv_065-60 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Monochromators are often used at X-ray Free-Electron Lasers (XFELs) to reduce the spectral bandwidth of pulses generated by self-amplified spontaneous emission (SASE, bandwidth $\Delta E/E \sim 2\cdot10^{-3}$). This improves the temporal coherence, which is beneficial for several techniques. For ... | proofpile-arXiv_065-61 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Web search engines are used by billions of people every day. Powered by results of decades of information retrieval research, they help find the documents people are looking for or directly answer their questions.
While basic query-document matching according to whether the documents contain a... | proofpile-arXiv_065-62 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\small
In this contribution, we show how deep learning (DL) algorithms like CNNs are incorporated into the analysis workflow of the MAGIC telescopes to perform full-event reconstruction. We also explore the robustness of CNN-based methods, when applying them to real observational data and compare... | proofpile-arXiv_065-63 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The classical precision limit of interfermetric measurements is determined by quantum projection noise. Entangled many-body spin states with { correlated quantum fluctuations} can overcome this limit and may offer significant precision enhancements~\cite{CavesPRD1981,WinelandPRA1992,BollingerPRA1... | proofpile-arXiv_065-64 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
We can explore the topological nature of quantum field theories via topological terms.
Recently, gauge theories with a theta term have been
studied by \textquoteright t Hooft anomaly matching.
In particular,
there is a constraint on the phase structure of the 4D SU(N) pure Yang-Mills theory
by ... | proofpile-arXiv_065-65 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Preface}
\label{s_preface}
This paper primarily serves as a reference for my Ph.D. dissertation, which I am currently writing.
As a consequence, the framework is not under active development.
The presented concepts, problems, and solutions may be interesting regardless, even for other problems than Neural A... | proofpile-arXiv_065-66 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{intro}
Under suitable assumptions, a branching process can be decomposed into a spine and side branches.
Heuristically speaking, the spine has the distribution of the driving process conditioned on non-extinction.
We will prove this claim for the ``Fleming-Viot branching process'' intro... | proofpile-arXiv_065-67 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Introduction}
This supplementary material contains examples of the backward differentiation for PIP bases for a diatomic and triatomic molecule, Mathematica code,\cite{Mathematica}, a brief description of Mathematica programs uses, and training and testing RMS errors for energies and gradients, as well as tim... | proofpile-arXiv_065-68 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
Process mining is a family of techniques that facilitate the discovery and analysis of business processes based on execution data. Process mining techniques use event logs extracted from enterprise information systems to, for instance, discover process models or to check the co... | proofpile-arXiv_065-69 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec.intro}
As classical mathematical problems, some applications in the realms of energy system design \cite{AppEnergy}, image processing \cite{NCZNNCompare}, and robot kinematics \cite{AppRobort}, are abstractly modeled as quadratic minimization (QM) problems. In conclusion, for general QM... | proofpile-arXiv_065-70 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Our model formal equation is the following:
\begin{equation}\tag*{GPME}\label{model_problem}
\partial_t u(t,x) + \Delta\Phi u(t,x) = f(t,x) \quad \mbox{for every } (t,x) \in (a,b)\times X.
\end{equation}
This equation is called the \emph{generalized porous medium equation} (GPME) or \emph{fil... | proofpile-arXiv_065-71 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The $L^2$ discrepancy of a finite point set $P \subset [0,1)^2$ in the unit square is defined as
\[ D_2(P) = \left( \int_{[0,1]^2} \left( B(x,y) -|P|xy \right)^2 \, \mathrm{d} x \, \mathrm{d} y \right)^{1/2} , \]
where $B(x,y)=|P \cap ([0,x) \times [0,y))|$ is the number of points of $P$ whi... | proofpile-arXiv_065-72 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Graph coloring has been well-studied in mathematics since the eighteenth century and has widespread applications in day-to-day life, including scheduling problems, register allocation, radio frequency assignments and sudoku solutions \cite{coloring-applications}. Traditionally, the coloring of ... | proofpile-arXiv_065-73 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The free transport equation (or free transport operator) is one of the most important ones in a wide area of mathematics. When we consider a probability density function $f : \mathbb{R}_{+}\times \Omega \times\mathbb{R}^{d}\rightarrow \mathbb{R}_{+}$, the free transport equation is written by
... | proofpile-arXiv_065-74 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Implementation Details}
We provide more implementation details on how each probing experiments is conducted, as well as the software libraries that it depends on.
\paragraph{Software Library} For all the probing experiments, we rely on a NLP toolkit called JIANT \cite{phang2020jiant}. Jiant is a framework tha... | proofpile-arXiv_065-75 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Blazars form a peculiar class of active galactic nuclei (AGNs). They are radio-loud objects pointing their relativistic jets towards an observer and having a non-thermal continuum along the entire electromagnetic spectrum. One of their properties is rapid variability in different energy bands, ... | proofpile-arXiv_065-76 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec1}
Let $\Omega\subseteq \mathbb{R}^{n}~(n\geq 2)$ be a domain and $1<p<\infty$. In the monograph \cite{HKM} by Heinonen, Kilpel\"{a}inen, and Martio, the authors studied a nonlinear potential theory for the second-order quasilinear elliptic operator~$\dive(\mathcal{A}(x,\nabla u))$, whi... | proofpile-arXiv_065-77 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Toy example details}
\label{sec:example_details}
Material herein is adapted from \citep[task 2]{lee2018structural}.
\subsection{Structural equation model}
Generating model for exogenous variables:
\begin{align*}
\{P(U_{Z_t} = 1) = 0.6 &\mid t = 0,\ldots,T \}\\
\{P(U_{X_t} = 1) = 0.11 &\mid... | proofpile-arXiv_065-78 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:intro}
The goal of this paper is to compute the conditional expectation $\mathbb{E}[Y \mid X]$ of a square-integrable
random variable $Y$ given a $d$-dimensional random vector $X$, both
defined on a common probability space $(\Omega, \cF, \p)$. The accurate estimation of
conditiona... | proofpile-arXiv_065-79 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\chapter*{Biography}
\end{frontmatter}
\begin{biography}
\section*{Sir Stanley Davidson (1894--1981)}
One or more blank lines denote the end of a paragraph. The ends of\index{index}
words and sentences are marked by spaces. It doesn't matter how many
spaces you type; one is as good as 100. The end of a lin... | proofpile-arXiv_065-80 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}\label{sec:intro}
In 1935, Erd\H os and Szekeres \cite{es35} proved that any sequence of $n$ distinct real numbers contains a monotone subsequence of length at least $\sqrt{n}$. This is a classical result in combinatorics and its generalizations and extensions have many important consequences in... | proofpile-arXiv_065-81 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Plenty of applications such as power grids, traffic nets can be abstracted into undirected graph. PageRank \cite{page1999pagerank,brin2012reprint} is an essential field of graph including both directed graph and undirected graph. There is little work on computing PageRank of undirected graph. Usu... | proofpile-arXiv_065-82 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Hyperspectral remote sensing technology is a method that organically combines the spectrum of ground objects determined by their unique material composition with the spatial image reflecting the shape, texture and layout of ground objects, to realize the accurate detection, recognition and attri... | proofpile-arXiv_065-83 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Computed Tomography Angiography (CTA) is a commonly used modality in many clinical scenarios including the diagnosis of ischemic strokes. An ischemic stroke is caused by an occluded blood vessel resulting in a lack of oxygen in the affected brain parenchyma. An occlusion in the internal carotid a... | proofpile-arXiv_065-84 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{introduction}
Assembly of galaxies in the early universe is a matter of intense debate in current astrophysics. Among others, the formation of bulges is a key ingredient which brought about the
morphological diversity of the present-day disc galaxies.
Despite much effort in clarifying the bulge formation pro... | proofpile-arXiv_065-85 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
This paper aims at broadening the understanding of the link between uncertainty principles and localized controllability of evolution equations. An uncertainty principle is a property which gives some limitations on the simultaneous concentration of a function and its Fourier transform. There exi... | proofpile-arXiv_065-86 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Conclusions}
We present the first comprehensive~study~to~characterize PPs~in~DL systems written~in~\textsc{TensorFLow}~and \textsc{Keras}, and build the first~benchmark of PPs in DL systems to assess existing~approaches in tackling them. Further,~we develop a static checker \textsc{DeepPerf}\xspace to detect... | proofpile-arXiv_065-87 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Elliptic and parabolic problems associated to the degenerate operators
\begin{equation*} \label{defL}
\mathcal L =y^{\alpha_1}\Delta_{x} +y^{\alpha_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right) \quad {\rm and}\quad D_t- \mathcal L
\end{equation*}
in the half-space $\mathbb{R}^{N+1}_+=\... | proofpile-arXiv_065-88 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec:introduction}
\IEEEPARstart{D}{ental} cone-beam computerized tomography (CBCT) and intraoral scan (IOS) are used for virtual implant positioning, maxillofacial surgery simulation, and orthodontic treatment planning. Dental CBCT has been widely used for the three-dimensional (3D) imagi... | proofpile-arXiv_065-89 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Gas-particle two-phase flow is very common in natural phenomena, e.g., sand storms, volcano eruption, and many engineering industries, e.g., petroleum industry, chemical industry, energy industry. Numerical simulation is a powerful tool to study the gas-particle two-phase flow, and many numerical... | proofpile-arXiv_065-90 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Learning a shape space is the task of finding a latent representation to a collection of input training shapes that generalizes well to unseen, test shapes. This is often done within an autoencoder framework, namely an \emph{encoder} $\Phi:X\rightarrow Z$, mapping an input shap... | proofpile-arXiv_065-91 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
DL-based malware detectors have recently gained attention in the field of cybersecurity due to their ability to identify unseen malware variants without manual feature engineering and expensive dynamic analysis of the behavior of malware instances in a sandbox \cite{raff2018malware}. However, DL... | proofpile-arXiv_065-92 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec1}
The quark model is a successful theory, with physicists employing it to explain mesons' and baryons' inner structures and predict the tetraquark and pentaquark. Over the past decade, the multiquark states' exploration has made significant progress both theoretically and experimen... | proofpile-arXiv_065-93 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The physics of the strong interaction is accurately described by a gauge theory based on $SU(3)$, namely quantum chromodynamics (QCD). While QCD has been very successful, some open questions remain. An important example of such an as-of-yet unanswered question is the following: \textit{How do had... | proofpile-arXiv_065-94 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The Cabibbo-Kobayashi-Maskawa (CKM) matrix~\cite{Kobayashi:1973fv} gives the strength of the cross-generational weak couplings between the up and down type quarks, and is currently the only known source of charge-parity violation in the Standard Model (SM), which is required for understanding th... | proofpile-arXiv_065-95 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
Semantic segmentation is a fundamental and challenging problem of computer vision, whose goal is to assign a
semantic category to each pixel of the image. It is critical
for various tasks such as autonomous driving, image editing,
and robot sensing. Recently, with the rapid development of deep ... | proofpile-arXiv_065-96 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\begin{figure}[t]
\begin{subfigure}[t]{\linewidth}
\centering
\includegraphics[width=0.6\linewidth]{figures/sample_467.png}
\caption{Image with human and object detections.}
\label{fig:teaser-sample}
\end{subfigure}
\begin{subfigure}[t]{\linewidth}
\centering
\include... | proofpile-arXiv_065-97 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
With the emergence of convolutional neural networks (CNNs)~\cite{1998Gradient}, a lot of salient object detection (SOD) methods~\cite{2018Detect, 7780449, Wu2019CascadedPD, Zhang2017AmuletAM} based on CNNs have been proposed and broken the records. However, these CNNs-based SOD methods heavily re... | proofpile-arXiv_065-98 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{Supplementary Materials}
\renewcommand{\thefigure}{S\arabic{figure}}
\setcounter{figure}{0}
\renewcommand{\theequation}{S\arabic{equation}}
\setcounter{equation}{0}
\noindent \textbf{PDF file includes:}
Supplementary Text
Figs. S1 to S2
Table S1
References (1 to 7)
\clearpage
\paragraph*{Frequency co... | proofpile-arXiv_065-99 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |