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\section{Introduction}\label{Sec_Setting}
Random fields under local maps are defined and analyzed in different fields of probability and statistics. In these studies a random field is typically a stochastic process whose variables take values in a subset of the real numbers, and which has a geometric index ... | {
"timestamp": "2021-09-30T02:02:30",
"yymm": "2109",
"arxiv_id": "2109.13997",
"language": "en",
"url": "https://arxiv.org/abs/2109.13997"
} |
\section{Introduction}\label{intro}
This paper is part of a series~\cite{MMS,MSMS,Bxu} aiming to obtain an asymptotic enumeration of finite Cayley graphs. However, the main players in this paper are not finite Cayley graphs, but finite transitive groups. Our results on finite transitive groups can then be used to make ... | {
"timestamp": "2021-09-29T02:25:36",
"yymm": "2109",
"arxiv_id": "2109.13882",
"language": "en",
"url": "https://arxiv.org/abs/2109.13882"
} |
\section{Introduction}
The scattering between kinks has become a very popular research topic in recent decades because of its astonishing properties \cite{Manton2004, Shnir2018, Kevrekidis2019}. The study of the collisions between kinks and antikinks in the $\phi^4$ model was initially addressed in the seminal refere... | {
"timestamp": "2021-10-05T02:09:37",
"yymm": "2109",
"arxiv_id": "2109.13904",
"language": "en",
"url": "https://arxiv.org/abs/2109.13904"
} |
\section{Introduction and Context}
\subsection{Historical Context}
Circuit complexity is a branch of Computational Complexity theory in which Boolean functions are classified according to the size or depth of the Boolean Circuits that compute them. Where the \textit{circuit-size complexity} of a Boolean function $f$ i... | {
"timestamp": "2021-09-30T02:00:12",
"yymm": "2109",
"arxiv_id": "2109.13917",
"language": "en",
"url": "https://arxiv.org/abs/2109.13917"
} |
\section{Introduction}
We study the bit complexity of finding approximate solutions to the following problems, where the input is assumed to be given {exactly} as a rational matrix, collection of matrices, or polynomial.
\begin{enumerate}
\item {\bf Jordan Normal Form.} Given a complex matrix $A$, find a similarity $V... | {
"timestamp": "2021-09-30T02:00:42",
"yymm": "2109",
"arxiv_id": "2109.13956",
"language": "en",
"url": "https://arxiv.org/abs/2109.13956"
} |
\section{Introduction}
The most generic family of regular, stationary, asymptotically flat, electrovacuum solutions in Einstein-Maxwell theory is the Kerr-Newman (KN) family of black holes (BHs)~\cite{1965JMP.....6..918N, Mazur_1982}.
This solution extends the Kerr metric~\cite{Kerr:1963ud} and is uniquely characteris... | {
"timestamp": "2022-04-12T02:42:24",
"yymm": "2109",
"arxiv_id": "2109.13961",
"language": "en",
"url": "https://arxiv.org/abs/2109.13961"
} |
\section{Introduction}
Biological imaging which precisely labels microscopic structures offers a range of insights, from Single Molecule Localization Microscopy (SMLM) \cite{storm_09} visualizing the microarchitecture of the cellular cytoskeleton; to single-molecule Fluorescence \emph{in situ} Hybridization \cite{smfis... | {
"timestamp": "2021-09-30T02:03:48",
"yymm": "2109",
"arxiv_id": "2109.14025",
"language": "en",
"url": "https://arxiv.org/abs/2109.14025"
} |
\section{Introduction} \label{sec:intro}
Characterizing young planetary systems is key to improving our understanding of their formation and evolution. Young transiting systems in particular offer a means to directly probe the radii, and together with masses from precise radial-velocity (RV) measurements, the bulk de... | {
"timestamp": "2021-09-30T02:02:26",
"yymm": "2109",
"arxiv_id": "2109.13996",
"language": "en",
"url": "https://arxiv.org/abs/2109.13996"
} |
\section{Introduction}\label{intro}
During the last years, a large number of young and intermediate-age stellar clusters (with ages up to around two billion years) have been discovered in the Magellanic
Clouds (MCs) exhibiting extended main-sequence turnoffs \citep[eMSTOs,][]{Mackey07,Milone09,Li17,Milone18}. Among t... | {
"timestamp": "2021-09-30T02:00:47",
"yymm": "2109",
"arxiv_id": "2109.13959",
"language": "en",
"url": "https://arxiv.org/abs/2109.13959"
} |
\section{Introduction}
\label{sec:introduction}
The so-called \textit{cooling function} $\Lambda$ describes the energy loss of a gas cloud per unit volume and time and is an important consideration in cosmological simulations (e.g.\ \cite{draine:2011}).
Besides density and temperature, $\Lambda$ depends on many additi... | {
"timestamp": "2022-03-30T02:28:37",
"yymm": "2109",
"arxiv_id": "2109.13926",
"language": "en",
"url": "https://arxiv.org/abs/2109.13926"
} |
\section{GALAXY MASS THRESHOLD}\label{gal_mass_threshold}
In this study, we considered only galaxies with stellar mass $M_{\rm gal} \ge \SI{3e10}{\text{M}_{\odot}}$. The motivation behind this choice is two-fold. On one hand, the vast majority of stars - and compact remnants - in the Universe is hosted in galaxies a... | {
"timestamp": "2022-02-11T02:00:49",
"yymm": "2109",
"arxiv_id": "2109.13934",
"language": "en",
"url": "https://arxiv.org/abs/2109.13934"
} |
\section{Introduction}
The fourth-order nonlinear Schr\"odinger (4NLS) equation or biharmonic cubic nonlinear \linebreak Schr\"odinger equation
\begin{equation}
\label{fourtha}
i\partial_tu +\partial_x^2u-\partial_x^4u=\lambda |u|^2u,
\end{equation}
have been introduced by Karpman \cite{Karpman} and Karpman and Shagalo... | {
"timestamp": "2021-09-29T02:25:28",
"yymm": "2109",
"arxiv_id": "2109.13878",
"language": "en",
"url": "https://arxiv.org/abs/2109.13878"
} |
\section*{Appendix}
This appendix is segmented into three key parts.
\begin{enumerate}
\item \textbf{Section \ref{impl}} discusses additional implementation details. In particular, method-specific overheads are discussed in detail and detailed hyper-parameter settings for {IGLU}\xspace and the main baselines repo... | {
"timestamp": "2022-04-05T02:22:24",
"yymm": "2109",
"arxiv_id": "2109.13995",
"language": "en",
"url": "https://arxiv.org/abs/2109.13995"
} |
\section{Introduction}
In this paper, we consider the problem of sampling from a posterior
$$
\pi({\boldsymbol \theta}|D)\propto p(D|{\boldsymbol \theta})p({\boldsymbol \theta}),
$$
where $D$ denotes data and ${\boldsymbol \theta} \in \Theta$ is a vector of unknown parameters, in the case where the likelihood $p(D|{\b... | {
"timestamp": "2021-09-29T02:25:55",
"yymm": "2109",
"arxiv_id": "2109.13891",
"language": "en",
"url": "https://arxiv.org/abs/2109.13891"
} |
\section{Introduction}\label{sec:intro}
Migration is an essential stage of cancer progression \cite{hanahan}. It starts with cells of a growing malignant tumour invading the surrounding tissue matrix. Locally, this eventually leads to malfunctioning of the organ in which the tumour has arisen. An even more life-thre... | {
"timestamp": "2022-03-10T02:19:02",
"yymm": "2109",
"arxiv_id": "2109.14009",
"language": "en",
"url": "https://arxiv.org/abs/2109.14009"
} |
\section{Introduction}\label{sec:intro}
The emergence of quantum computers has brought a new paradigm to the field of computation. The unique features of these devices has garnered attention from various disciplines, including High Energy Physics (HEP), where the computational challenges associated with taking, proces... | {
"timestamp": "2021-09-30T02:01:35",
"yymm": "2109",
"arxiv_id": "2109.13975",
"language": "en",
"url": "https://arxiv.org/abs/2109.13975"
} |
\section{Introduction}
In modern physics, one of the outstanding question is regarding the determination of the mass of neutrinos which has fundamental implications to both particle physics and cosmology. The neutrino oscillation experiments have established that the neutrinos should have a non-zero mass \citep[e.g.][... | {
"timestamp": "2021-09-30T02:00:26",
"yymm": "2109",
"arxiv_id": "2109.13938",
"language": "en",
"url": "https://arxiv.org/abs/2109.13938"
} |
\section{Introduction}
\label{sec:intro}
The large-scale structure (LSS) of the universe has become a powerful tool for research in cosmology, providing information complementary to or inaccessible by the cosmic-microwave background \cite{planck18}. Over the next decade, LSS surveys such as DESI \cite{desi1}, {\it Eu... | {
"timestamp": "2022-01-19T02:44:47",
"yymm": "2109",
"arxiv_id": "2109.13948",
"language": "en",
"url": "https://arxiv.org/abs/2109.13948"
} |
\section{Introduction}
Companies often face the problem of searching through \textcolor{black}{and extracting information that they are interested in,} from their unorganized mix of physical paper and digital documents. This process can be time-consuming and tedious. \textcolor{black}{To automate this process, people s... | {
"timestamp": "2021-09-30T02:00:59",
"yymm": "2109",
"arxiv_id": "2109.13967",
"language": "en",
"url": "https://arxiv.org/abs/2109.13967"
} |
\section{Introduction}
Accretion powered High Mass X-ray Binary (HMXB) pulsars comprise of a highly magnetized neutron star (NS) accreting from a high mass companion. Most of these systems in the Milky Way galaxy are transient sources that usually remain in quiescence for long periods, and occasionally exhibit outburs... | {
"timestamp": "2021-09-30T02:03:47",
"yymm": "2109",
"arxiv_id": "2109.14022",
"language": "en",
"url": "https://arxiv.org/abs/2109.14022"
} |
\section{Introduction}
One of the promises of 5G wireless communication systems is to support large scale machine- type communication (MTC), that is, to provide connectivity to a massive number of devices as in the Internet of Things \cite{Durisi,Tullberg,Larsson}. In massive MTC scenarios, the connection density will ... | {
"timestamp": "2021-09-30T02:02:12",
"yymm": "2109",
"arxiv_id": "2109.13989",
"language": "en",
"url": "https://arxiv.org/abs/2109.13989"
} |
\section{\label{sec:intro} Introduction}
\begin{figure}
\includegraphics[width=\columnwidth]{figs/fig1.png}
\caption{\label{fig:1} Monomer distributions and chain heights in (a) flat, (b) converging, and (c) diverging brushes. The width of each tree-like chain profile is proportional to the number of monomers $\delta ... | {
"timestamp": "2021-09-30T02:01:53",
"yymm": "2109",
"arxiv_id": "2109.13979",
"language": "en",
"url": "https://arxiv.org/abs/2109.13979"
} |
\section{\Large Supplemental Material}\label{sec:Appendix}
\subsection{Coupled pair of PDEs for the KN perturbations}\label{sec:Appendix1}
The uniqueness theorems \cite{Robinson:2004zz,Chrusciel:2012jk} state that the Kerr-Newman (KN) black hole (BH) is the unique, most general family of stationary asymptotically fla... | {
"timestamp": "2021-09-30T02:00:36",
"yymm": "2109",
"arxiv_id": "2109.13949",
"language": "en",
"url": "https://arxiv.org/abs/2109.13949"
} |
\section{Introduction}
Information loss in black hole evolution is one of the longest-running controversies in theoretical physics \cite{h:76,wald:01,rev-0,rev-00,rev-1,rev-12,rev-12marolf,coy:15,info:21,SFA:21,bfm:21}. Its essence is captured by the following scenario: according to distant observers, matter collapsin... | {
"timestamp": "2022-06-22T02:24:42",
"yymm": "2109",
"arxiv_id": "2109.13939",
"language": "en",
"url": "https://arxiv.org/abs/2109.13939"
} |
\section{Introduction}
A material that changes in space, where the wave speed is non--uniform, can act as a lens, mirror, absorber, or invisibility cloak, depending on the type of material and how it is arranged. Such structures can be traced back to ancient investigations of `burning lenses'~\cite{smith2017} and rema... | {
"timestamp": "2021-09-30T02:00:15",
"yymm": "2109",
"arxiv_id": "2109.13923",
"language": "en",
"url": "https://arxiv.org/abs/2109.13923"
} |
\section{Introduction}
In a stochastic multi-armed bandits (MAB) problem, an agent is repeatedly faced with the choice of sampling from one of $K$ arms, each providing rewards drawn from an unknown distribution. The agent seeks to find proper balance between exploration and exploitation so as to optimize its objective ... | {
"timestamp": "2021-09-30T02:01:38",
"yymm": "2109",
"arxiv_id": "2109.13977",
"language": "en",
"url": "https://arxiv.org/abs/2109.13977"
} |
\section{Introduction}
The radiative feedback of high-mass stars can have profound impact on the formation of stellar and planetary systems, as well as on the interstellar environment. Ionising radiation has been shown to be able to externally photoevaporate protoplanetary discs \citep{O'dell1994,Scally2001}, to restri... | {
"timestamp": "2021-09-30T02:00:41",
"yymm": "2109",
"arxiv_id": "2109.13953",
"language": "en",
"url": "https://arxiv.org/abs/2109.13953"
} |
\section{Introduction}
\label{introduction}
What tools can enable humans to identify flaws in an AI agent's reasoning, even if the agent functions at a super-human level? One possibility is for the AI to produce explanations that simplify decisions into reasoning steps that a human can check against their domain and c... | {
"timestamp": "2021-09-30T02:01:52",
"yymm": "2109",
"arxiv_id": "2109.13978",
"language": "en",
"url": "https://arxiv.org/abs/2109.13978"
} |
\section{Introduction}~\label{intro}
The Ising model is regarded as the simplest theoretical framework to describe ferromagnetism, and understand phase transitions~\cite{Ising1925}. The 2D Ising model is a mathematical model of atomic spins on a lattice which exhibits a phase transition that can be computed analytical... | {
"timestamp": "2021-12-01T02:12:56",
"yymm": "2109",
"arxiv_id": "2109.13925",
"language": "en",
"url": "https://arxiv.org/abs/2109.13925"
} |
\section{Introduction} \label{sec:introduction}
Upcoming surveys such as the Legacy Survey of Space and Time
\citep[LSST;][]{ivezic19}
that will be conducted at the Vera C. Rubin Observatory, and
the Nancy Grace Roman Space Telescope \citep{spergel15}
will obtain light curves for millions
of astronomical transients. T... | {
"timestamp": "2021-09-30T02:02:38",
"yymm": "2109",
"arxiv_id": "2109.13999",
"language": "en",
"url": "https://arxiv.org/abs/2109.13999"
} |
\section{Introduction and statement of results}}
In this paper, we consider the constant $Q$-curvature-type equation
\begin{equation}\label{n-mfe}
\alpha P_n u+(n-1)!\left(1-\frac{e^{nu}}{\int_{\mathbb{S}^n}e^{nu}dw}\right)=0, \quad \text{on } \mathbb S^n,
\end{equation}
where $\mathbb S^n$ is the $n$... | {
"timestamp": "2021-09-30T02:00:15",
"yymm": "2109",
"arxiv_id": "2109.13924",
"language": "en",
"url": "https://arxiv.org/abs/2109.13924"
} |
\section{Introduction}
To explain the differences in political influence, researchers often refer to the \textit{financial resources} that an organization possesses. Even though there is little empirical research on the causal mechanism, the argument makes intuitively sense. Organizations with high resour... | {
"timestamp": "2021-09-30T02:00:17",
"yymm": "2109",
"arxiv_id": "2109.13928",
"language": "en",
"url": "https://arxiv.org/abs/2109.13928"
} |
\section{Introduction}
Reference sets encompassing accurate experimental and/or theoretical data have always enjoyed a high popularity in the electronic structure community. Indeed, these allow for rapid and fair comparisons between theoretical models for
properties of interest. The pioneering reference sets are like... | {
"timestamp": "2021-09-29T02:26:01",
"yymm": "2109",
"arxiv_id": "2109.13894",
"language": "en",
"url": "https://arxiv.org/abs/2109.13894"
} |
\section{Introduction} \label{sec:intro}
The study of near-Earth asteroids (NEAs) offers the opportunity to look into more detail at the physical properties and composition of their counterparts in the main asteroid belt. NEAs also represent a direct link between
meteorites found on Earth and their parent bodies in t... | {
"timestamp": "2021-09-30T02:00:36",
"yymm": "2109",
"arxiv_id": "2109.13950",
"language": "en",
"url": "https://arxiv.org/abs/2109.13950"
} |
\section{Introduction}
There are many sources of neutrinos in our nature (see, e.g., a review in Ref.~\cite{Vitagliano:2019yzm}). The detection of neutrinos from explosive astrophysical sites such as core-collapse supernovae (CCSNe), and neutron star mergers helps understand the mechanism of their explosive phenomena... | {
"timestamp": "2022-02-25T02:10:37",
"yymm": "2109",
"arxiv_id": "2109.14011",
"language": "en",
"url": "https://arxiv.org/abs/2109.14011"
} |
\section{Tests of Lorentz violation with high-energy astrophysical neutrinos}
Lorentz symmetry is a fundamental symmetry underlying both quantum field theory and general relativity.
Nevertheless, violation of Lorentz symmetry, often known as Lorentz violation (LV), has been searched for since the iconic Michelson-Morl... | {
"timestamp": "2021-12-14T02:19:52",
"yymm": "2109",
"arxiv_id": "2109.13973",
"language": "en",
"url": "https://arxiv.org/abs/2109.13973"
} |
\section{Introduction}
There is great interest in using electronic health record (EHR) data as a cost-effective resource to support biomedical research \citep{coorevits2013, pathak2013, cook2015, cowie2017}. A growing number of studies relying on data extracted from the EHR are appearing in the medical literature. The... | {
"timestamp": "2021-09-30T02:02:39",
"yymm": "2109",
"arxiv_id": "2109.14001",
"language": "en",
"url": "https://arxiv.org/abs/2109.14001"
} |
\section{Introduction}\label{ss:Intro}
Let $X$ be an $m\times n$ matrix with entries being i.i.d. real ($\beta=1$), complex ($\beta=2$), or quaternionic ($\beta=4$) centered normal random variables with $\mathbb{E}(|X_{11}|^2) = \beta$.
Then we say that the $(m+n)\times(m+n)$ Hermitian matrix
\begin{equation}\l... | {
"timestamp": "2021-09-30T02:01:57",
"yymm": "2109",
"arxiv_id": "2109.13982",
"language": "en",
"url": "https://arxiv.org/abs/2109.13982"
} |
\section{ParaLiNGAM}
\label{sec:alg}
In this section, we present the ParaLiNGAM algorithm for accelerating computationally-intensive part of DirectLiNGAM without changing its accuracy.
As mentioned before, DirectLiNGAM discovers causal order in $p$ iterations. Moreover, these iterations are consecutive, i.e., an iter... | {
"timestamp": "2021-09-30T02:02:20",
"yymm": "2109",
"arxiv_id": "2109.13993",
"language": "en",
"url": "https://arxiv.org/abs/2109.13993"
} |
\section{Introduction}
We study the maximum diameter of connected graphs in terms of other graph parameters such as order, minimum degree, etc.
Several papers \cite{Amar, EPPT, Gold, Moon} have shown that:
\begin{theorem}\label{th:ori}
For a fixed minimum degree $\delta \geq 2$, every connected graph $G$ of order ... | {
"timestamp": "2021-09-29T02:25:51",
"yymm": "2109",
"arxiv_id": "2109.13887",
"language": "en",
"url": "https://arxiv.org/abs/2109.13887"
} |
\section{Introduction} \label{sec:intro}
The physical properties of galaxies are almost entirely derived from observations of their light. At distances too large for resolving galaxies into individual stars, stellar population synthesis modeling of the spectral energy distribution may be used to infer integrated prope... | {
"timestamp": "2021-09-30T02:00:33",
"yymm": "2109",
"arxiv_id": "2109.13943",
"language": "en",
"url": "https://arxiv.org/abs/2109.13943"
} |
\section{Introduction}
Inspired by a prediction for a categorification of the Witten-Reshitikhin-Turaev invariant of a closed oriented 3-manifold~\cite{W, RT1} in \cite{GPPV, GPV}, a two variable series invariant $F_K(x,q)$ for a complement $M^{3}_K$ of a knot $K$ was introduced in \cite{GM}. Although its rigorous de... | {
"timestamp": "2021-09-30T02:03:46",
"yymm": "2109",
"arxiv_id": "2109.14021",
"language": "en",
"url": "https://arxiv.org/abs/2109.14021"
} |
\section{Introduction}
Symbolic regression is a task that we can solve with
genetic programming (GP) and a common example where GP is
particularly effective in practical applications. Symbolic
regression is a machine learning task whereby we try to find a
mathematical model represented as a closed-form expression
tha... | {
"timestamp": "2021-09-29T02:26:01",
"yymm": "2109",
"arxiv_id": "2109.13895",
"language": "en",
"url": "https://arxiv.org/abs/2109.13895"
} |
\section{Introduction}
Within a dispersionless band of a crystalline solid, electrons have diverging effective mass and localized wavefunctions can remain localized, notably in the absence of disorder.
The inclusion of Coulomb repulsion then gives rise to strongly interacting many-body systems, which have been predic... | {
"timestamp": "2021-10-18T02:22:15",
"yymm": "2109",
"arxiv_id": "2109.13940",
"language": "en",
"url": "https://arxiv.org/abs/2109.13940"
} |
\section{Introduction and review}
In \cite{Arkani-Hamed:2019plo, Arkani-Hamed:2020tuz} {\it cluster configuration spaces} have been introduced, which generalize the moduli space ${\cal M}_{0,n}$ (corresponding to the type-$A_{n-3}$ space) to cases corresponding to other finite-type cluster algebras. The idea behind th... | {
"timestamp": "2021-09-29T02:26:14",
"yymm": "2109",
"arxiv_id": "2109.13900",
"language": "en",
"url": "https://arxiv.org/abs/2109.13900"
} |
\section{Scientific motivation}
\label{sec:fundlimits}
Direct imaging of exoplanets and circumstellar disks is key their detailed characterization, but is challenging due to the small angular separation between objects of interets and the much brighter host stars.
A high contrast imaging (HCI) system, as depicted i... | {
"timestamp": "2021-10-05T02:41:01",
"yymm": "2109",
"arxiv_id": "2109.13958",
"language": "en",
"url": "https://arxiv.org/abs/2109.13958"
} |
\section{Introduction}\label{intro}}
Finding correspondences between pairs of images is a fundamental computer vision problem with numerous applications, including image alignment~\cite{BrownL07, GLAMpoint, shrivastava-sa11}, video analysis~\cite{SimonyanZ14}, image manipulation~\cite{HaCohenSGL11, LiuYT11}, Structure... | {
"timestamp": "2021-09-30T02:10:48",
"yymm": "2109",
"arxiv_id": "2109.13912",
"language": "en",
"url": "https://arxiv.org/abs/2109.13912"
} |
\section{Introduction}
Angular dispersion (AD) has remained a ubiquitous optical effect since its inception by Newton in the course of his prism experiments \cite{Sabra81Book}. By AD we refer to the wavelength-dependence of the propagation angle in polychromatic fields, which is introduced by diffractive or dispersive... | {
"timestamp": "2021-09-30T02:02:05",
"yymm": "2109",
"arxiv_id": "2109.13987",
"language": "en",
"url": "https://arxiv.org/abs/2109.13987"
} |
\section{Introduction}
Two-sample tests are one of the most frequently used methods for statistical inference. Across disciplines, we encounter the same setup: two samples $\bm{X}$ and $\bm{Y}$ correspond to two different conditions, and we want to decide if the condition affects the data in some way. Does a drug impr... | {
"timestamp": "2021-10-12T02:04:01",
"yymm": "2109",
"arxiv_id": "2109.14013",
"language": "en",
"url": "https://arxiv.org/abs/2109.14013"
} |
\section{Introduction}
Tidal disruption events (TDEs), caused when a star is torn apart by tidal forces around a supermassive black hole \citep{Rees1988}, can generate observable flares. Such events are rare \citep[e.g.][]{Wang2004,Stone2016}, but they are unique tools for learning about the population of otherwise qu... | {
"timestamp": "2021-12-17T02:13:05",
"yymm": "2109",
"arxiv_id": "2109.13945",
"language": "en",
"url": "https://arxiv.org/abs/2109.13945"
} |
\section{Introduction}
| {
"timestamp": "2021-09-30T02:00:35",
"yymm": "2109",
"arxiv_id": "2109.13947",
"language": "zh",
"url": "https://arxiv.org/abs/2109.13947"
} |
\section{Introduction}
\label{section:introduction}
A sequence of groups $\{G_n\}_{n=1}^{\infty}$ exhibits {\em homological stability}
if for each $k \geq 0$, the
value $\HH_k(G_n)$ is independent of $n$ for $n \gg k$. There is a vast
literature on this, starting with early work of Nakaoka on symmetric groups \cite{N... | {
"timestamp": "2021-09-30T02:03:36",
"yymm": "2109",
"arxiv_id": "2109.14015",
"language": "en",
"url": "https://arxiv.org/abs/2109.14015"
} |
\section{Introduction}\label{sec:intro}
Integrating cold atoms and nanophotonic devices enables to create original light-matter interfaces. This effort has paved the way for cavity-QED platforms with unprecedented atom-field coupling via nanoscale cavities \cite{Lukin2013,Lukin2014} and for new opportunities by coupli... | {
"timestamp": "2022-02-07T02:11:01",
"yymm": "2109",
"arxiv_id": "2109.13954",
"language": "en",
"url": "https://arxiv.org/abs/2109.13954"
} |
\section{Introduction}
\label{Intro}
There is an important fact about the asymptotic AdS geometry: the conformal boundary of a $(d+1)$-dimensional asymptotically locally AdS (AlAdS) spacetime carries not a metric but a conformal class of metrics, i.e.\ the boundary enjoys Weyl symmetry. This is due to the fact that the... | {
"timestamp": "2021-12-23T02:00:49",
"yymm": "2109",
"arxiv_id": "2109.14014",
"language": "en",
"url": "https://arxiv.org/abs/2109.14014"
} |
\section{A linear problem} \label{linear}
For this section, we fix $\lambda,\mu\in \R$ and denote $H_1:=H_{1,\mu}$ and $H_2:=H_{N,\lambda}$. Similarly, $r_1:=r_{1,\mu}$ and $r_2:=r_{N,\lambda}$. We call $w:\R^N\to\R$ \textit{doubly antisymmetric (with respect to $H_{1}$ and $H_{2}$)}, if
\[
w\circ r_i=-w\quad\text{in ... | {
"timestamp": "2021-09-30T02:03:47",
"yymm": "2109",
"arxiv_id": "2109.14024",
"language": "en",
"url": "https://arxiv.org/abs/2109.14024"
} |
\section{Introduction}
\label{sec:intro}
Cosmic Microwave Background (CMB) observations are inevitably contaminated at some level by foregrounds, from galactic dust to a range of extragalactic signals including the cosmic infrared background (CIB), Sunyaev-Zeldovich effect (SZ), and radio point sources. Extragalactic... | {
"timestamp": "2021-09-29T02:26:38",
"yymm": "2109",
"arxiv_id": "2109.13911",
"language": "en",
"url": "https://arxiv.org/abs/2109.13911"
} |
\section{Introduction}
Lithium (Li) is one of the few elements that are produced minutes after the Big Bang during the Big Bang Nucleosynthesis phase \citep[BBN,][]{Coc2014}. Predictions of the production of elements in this theory are only dependent on the baryon-to-photon ratio, a number that has been measured from ... | {
"timestamp": "2021-09-30T02:00:37",
"yymm": "2109",
"arxiv_id": "2109.13951",
"language": "en",
"url": "https://arxiv.org/abs/2109.13951"
} |
\section{Introduction}
The question of identifying which effective field theories (EFTs) have UV completions, subject to general principles of unitarity and causality, has long been intimately tied to our understanding of constraints associated with the consistency of quantum gravity and the the swampland program~\c... | {
"timestamp": "2021-12-02T02:33:45",
"yymm": "2109",
"arxiv_id": "2109.13937",
"language": "en",
"url": "https://arxiv.org/abs/2109.13937"
} |
\section{Introduction}
Given a family of hypergraphs $\mathcal{F}$, the $k$-color Ramsey number for $\mathcal{F}$ is the minimum $n$ such that for any edge coloring of the complete $r$-uniform hypergraph on $n$ vertices with $k$ colors, we have that there exists a monochromatic subgraph $F$ for some $F\in \mathcal{F}$... | {
"timestamp": "2021-09-30T02:01:05",
"yymm": "2109",
"arxiv_id": "2109.13969",
"language": "en",
"url": "https://arxiv.org/abs/2109.13969"
} |
\section*{Appendix}
\onecolumn
\section*{\centering {Appendix}}
\section{Dataset Statistics}
\label{app:stata}
\begin{table*}[h!]
\centering
\begin{tabular}{c|c|c|c|c}
\toprule
\textbf{} & \textbf{Language} & \textbf{NgramShift} & \textbf{ClauseShift} & \textbf{RandomShift} \\
\midrule
\textbf{num. tokens} &
... | {
"timestamp": "2021-09-30T02:03:39",
"yymm": "2109",
"arxiv_id": "2109.14017",
"language": "en",
"url": "https://arxiv.org/abs/2109.14017"
} |
\subsection{Pick-and-place Manipulation for Novel Objects}
Robot manipulation systems for tight packing \cite{shome2019towards} or placement in constrained spaces \cite{haustein2019object} often assume the availability of complete 3d object models. For novel object instances, a majority of recent work focuses on task-a... | {
"timestamp": "2022-05-24T02:27:04",
"yymm": "2109",
"arxiv_id": "2109.13910",
"language": "en",
"url": "https://arxiv.org/abs/2109.13910"
} |
\section*{\emph{Guidelines for the Article}}
\section*{Introduction}
Recently, Graph Neural Networks (GNNs) have become one of the most active research fields in Artificial Intelligence \cite{ZHOU202057}. GNNs are a class of Deep Learning methods introduced to analyze data which display a graph structure. Graphs r... | {
"timestamp": "2021-09-30T02:03:22",
"yymm": "2109",
"arxiv_id": "2109.14012",
"language": "en",
"url": "https://arxiv.org/abs/2109.14012"
} |
\section{Introduction}
A typical visualization of a binary data matrix is a hierarchically-clustered heatmap, with dendrograms in which the higher-level clusters are recursively comprised of smaller clusters, the hierarchy being computed with an agglomeration strategy involving a distance function defined pairwise betw... | {
"timestamp": "2021-10-01T02:04:05",
"yymm": "2109",
"arxiv_id": "2109.13876",
"language": "en",
"url": "https://arxiv.org/abs/2109.13876"
} |
\subsubsection*{Acknowledgments} #1
\fi
\if@preprinttype%
\subsubsection*{Acknowledgments} #1
\fi
}
\if@conferencefinal
\newcommand{\@noticestring}{%
\@conferenceordinal\/ Conference on Robot Learning
(CoRL \@conferenceyear), \@conferencelocation.%
}
\else
\if@preprinttype
\newcommand{\@noticestr... | {
"timestamp": "2021-09-29T02:26:44",
"yymm": "2109",
"arxiv_id": "2109.13913",
"language": "en",
"url": "https://arxiv.org/abs/2109.13913"
} |
\section{Introduction} \label{sec:intro}
The recent emergence of Digital Rock Physics (DRP) has revolutionized the way we study porous media. It is now possible to directly characterize the pore structure of subsurface systems and perform three-dimensional direct numerical simulations of fluid flow in digital models ... | {
"timestamp": "2021-09-29T02:26:22",
"yymm": "2109",
"arxiv_id": "2109.13903",
"language": "en",
"url": "https://arxiv.org/abs/2109.13903"
} |
\section*{Acknowledgements}
Fred Roosta was partially supported by the Australian Research Council through a Discovery Early Career Researcher Award (DE180100923).
Stephen Wright was partially supported by NSF Awards 1740707 and 2023239; DOE ASCR under Subcontract 8F-30039 from Argonne National Laboratory; Award N66... | {
"timestamp": "2022-04-12T02:29:23",
"yymm": "2109",
"arxiv_id": "2109.14016",
"language": "en",
"url": "https://arxiv.org/abs/2109.14016"
} |
\section{Introduction}\label{Intro}
A regular clique in a finite regular graph is a clique such that every vertex that does not belong to the clique is adjacent to the same positive number of vertices in the clique. A regular clique in a graph can be equivalently viewed as a clique which is a part of an
equitable 2-p... | {
"timestamp": "2022-04-20T02:15:21",
"yymm": "2109",
"arxiv_id": "2109.13884",
"language": "en",
"url": "https://arxiv.org/abs/2109.13884"
} |
\section{Introduction}
\IEEEPARstart{I}{n} robot motion planning, the reference path generation is often performed independently of the feedback control design for path following.
While such a two-stage procedure leads to a suboptimal policy in general, it simplifies the problem to be solved and the resulting perform... | {
"timestamp": "2021-09-30T02:01:38",
"yymm": "2109",
"arxiv_id": "2109.13976",
"language": "en",
"url": "https://arxiv.org/abs/2109.13976"
} |
\section{Introduction}
Heavy duty truck driving performance is details sensitive \cite{lattemann2004predictive, kirches2013mixed, bae2003parameter, vahidi2003simultaneous, druzhinina2002speed, lu2005heavy}. A typical passenger car could achieve a fairly consistent braking distances while the braking distance of a t... | {
"timestamp": "2021-09-30T02:03:45",
"yymm": "2109",
"arxiv_id": "2109.14019",
"language": "en",
"url": "https://arxiv.org/abs/2109.14019"
} |
\section{Introduction}
\subsection{Description of the problem}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\setcounter{equation}{0
In this article, we take into account the model describing inelastic strains in solids, which are subject to the effects of temperature. The mathematical model describing ... | {
"timestamp": "2021-09-30T02:02:35",
"yymm": "2109",
"arxiv_id": "2109.13998",
"language": "en",
"url": "https://arxiv.org/abs/2109.13998"
} |
\section{Introduction}
Anomaly detection represents a challenging problem, where the goal is to distinguish \textit{anomalous} data from data considered to be \textit{normal}\footnote{The term \textit{normal} describes data that conforms to some predefined characteristics and is, in general, application dependent.}~\ci... | {
"timestamp": "2021-09-30T02:03:46",
"yymm": "2109",
"arxiv_id": "2109.14020",
"language": "en",
"url": "https://arxiv.org/abs/2109.14020"
} |
\section{Introduction}
Technological breakthroughs of the past decade have led to
increasingly common human-robot co-working
environments~\cite{cheng2018autonomous}. Navigating among humans is
an imperative task that most cobots, ranging from industrial to
service robots, are expected to perform safely and
efficiently... | {
"timestamp": "2022-03-04T02:05:49",
"yymm": "2109",
"arxiv_id": "2109.14004",
"language": "en",
"url": "https://arxiv.org/abs/2109.14004"
} |
\section{Introduction}
\section{Basic and multi-adjoint logics}
\label{sec:dataset_ml}
\section{Relación entre BL y ML}
\label{sec:explanations}
Una primera comparación entre la lógica BL y la lógica ML se dio en [2], de la que obtuvimos que ML tiene una axiomatización más débil que BL. En concr... | {
"timestamp": "2021-09-29T02:25:58",
"yymm": "2109",
"arxiv_id": "2109.13893",
"language": "en",
"url": "https://arxiv.org/abs/2109.13893"
} |
\section{Introduction}
\textit{Ab initio} simulation methods
are standard practice for predicting the
chemical and physical properties of molecules and materials.
At the level of simulating electronic structure the
majority of approaches are either directly based
upon Kohn-Sham density-functional theory~(DFT) or Hartre... | {
"timestamp": "2022-03-02T02:35:09",
"yymm": "2109",
"arxiv_id": "2109.14018",
"language": "en",
"url": "https://arxiv.org/abs/2109.14018"
} |
\section{S.I. AAH Background}\label{measureAAHsi}
The main results of this work generalize to multiple classes of quasiperiodic models, but the Andre-Aubry model (almost-Mathieu operator) is the most well studied. We introduce it and some background on current methods in the study of single-particle quasi-periodic mod... | {
"timestamp": "2021-09-30T02:00:20",
"yymm": "2109",
"arxiv_id": "2109.13933",
"language": "en",
"url": "https://arxiv.org/abs/2109.13933"
} |
\section{Introduction}
Most of today's fast-paced markets are organised as \emph{order-driven} markets, examples being found among the world's largest equity exchanges, such as the NASDAQ, the NYSE, Hong Kong, Shanghai, Shenzhen, London and Toronto Stock Exchange, and the Euronext. The \emph{order flow} is the dynamic... | {
"timestamp": "2021-09-29T02:26:23",
"yymm": "2109",
"arxiv_id": "2109.13905",
"language": "en",
"url": "https://arxiv.org/abs/2109.13905"
} |
\section{Motivation and results}
We are interested in holomorphic Poisson structures on Calabi--Yau threefolds
that contain a contractible rational curve. Here we consider the local situation. Hence,
we study Poisson structures on Calabi--Yau threefolds that are the total space of
a rank 2 vector bundle on $\math... | {
"timestamp": "2021-09-30T02:01:53",
"yymm": "2109",
"arxiv_id": "2109.13981",
"language": "en",
"url": "https://arxiv.org/abs/2109.13981"
} |
\section{Introduction}
Let $\GL_{n+1}$ denote the group of all real invertible
$(n+1) \times (n+1)$ matrices,
$\Up_{n+1} \subset \GL_{n+1}$ the subgroup of upper triangular matrices.
Let $P_\sigma$ be the permutation matrix with entries
$(P_\sigma)_{i,i^{\sigma}} = 1$ and $0$ otherwise.
For a permutation $\sigma$ i... | {
"timestamp": "2021-09-29T02:25:51",
"yymm": "2109",
"arxiv_id": "2109.13888",
"language": "en",
"url": "https://arxiv.org/abs/2109.13888"
} |
\section*{Introduction}
Traditionally, a Hamiltonian action is an action of a Lie group $G$ on a symplectic manifold $(S,\omega)$, equipped with an equivariant momentum map:
\begin{equation*} J:(S,\omega)\to \mathfrak{g}^*,
\end{equation*} taking values in the dual of the Lie algebra of $G$. Throughout the years, vari... | {
"timestamp": "2021-09-29T02:25:22",
"yymm": "2109",
"arxiv_id": "2109.13874",
"language": "en",
"url": "https://arxiv.org/abs/2109.13874"
} |
\section{Introduction} \label{sect:intro}
Lithium (Li) is a particularly important chemical element for astrophysics, with an impact on problems ranging from the early universe to the assembly of planetary systems recently formed around young stars. The $^7$Li isotope is one of the few species created during big bang... | {
"timestamp": "2022-07-05T02:12:13",
"yymm": "2109",
"arxiv_id": "2109.13955",
"language": "en",
"url": "https://arxiv.org/abs/2109.13955"
} |
\section{Introduction}
Deep neural networks (DNNs) provide a powerful framework for approximating complex mappings, possessing universal approximation properties~\cite{Cybenko1989} and flexible architectures composed of simple functions parameterized by weights. Numerous studies have shown that excellent performance c... | {
"timestamp": "2021-09-30T02:02:40",
"yymm": "2109",
"arxiv_id": "2109.14002",
"language": "en",
"url": "https://arxiv.org/abs/2109.14002"
} |
\section{The $np\leftrightarrow d\gamma$ cross section in $\chi$EFT}
\label{sec:npdagmma}
The detailed-balance principle relates the $np\rightarrow d\gamma$ cross section $\sigma_{np}$ to the deuteron photodissociation $d\gamma \rightarrow np$ cross section $\sigma_{\gamma d}$:
\begin{equation}
\sigma_{np} = \fra... | {
"timestamp": "2022-03-24T01:28:58",
"yymm": "2109",
"arxiv_id": "2109.13972",
"language": "en",
"url": "https://arxiv.org/abs/2109.13972"
} |
\section{\label{sec:intro}Introduction}
A number of popular extensions of the Standard
Model (SM) of particle physics predict the existence of doubly charged scalar
particles $X^{\pm\pm}$. These include the Type-II seesaw \cite{Schechter:1980gr,
Magg:1980ut,Cheng:1980qt,Lazarides:1980nt,Mohapatra:1980yp,Lindner:2016b... | {
"timestamp": "2022-07-20T02:00:39",
"yymm": "2109",
"arxiv_id": "2109.13960",
"language": "en",
"url": "https://arxiv.org/abs/2109.13960"
} |
\section{Introduction}
Physics-informed learning (PIL)~\cite{karniadakis2021physics, raissi2017physics,raissi2017physics2,RAISSIdeep,Raissihidden} has been widely used in scientific applications where physical inductive biases are applicable. The integration of domain knowledge into machine learning can not only enhanc... | {
"timestamp": "2021-09-29T02:26:21",
"yymm": "2109",
"arxiv_id": "2109.13901",
"language": "en",
"url": "https://arxiv.org/abs/2109.13901"
} |
\section{Introduction}
In a previous work \cite{dkm}, I considered the possibility of expressing the constraint of Gauss's law
in the perturbative expansion of gauge field theories via a Lagrange multiplier
field, $\lambda$, and argued for the generation
of an effective potential term of the Coleman-Weinberg type \ci... | {
"timestamp": "2022-08-24T02:09:14",
"yymm": "2109",
"arxiv_id": "2109.13990",
"language": "en",
"url": "https://arxiv.org/abs/2109.13990"
} |
\section{Introduction}
Image scaling aims to get the image at a different size preserving the original content as much as possible, with minor loss of quality, in two opposite ways: downscaling and upscaling.
Downscaling is a compression process by which the size of the high-resolution (HR) input image is reduced to ... | {
"timestamp": "2022-07-11T02:14:43",
"yymm": "2109",
"arxiv_id": "2109.13897",
"language": "en",
"url": "https://arxiv.org/abs/2109.13897"
} |
\section{Introduction} \label{sec:introduction}
Recently, several attempts to use machine learning (ML) to deal with combinatorial optimization problems (COPs) have been proposed.
Indeed, ML promises to support the design of algorithms as well as the resolution process, by decreasing the need for hand-crafted and spec... | {
"timestamp": "2021-09-30T02:01:57",
"yymm": "2109",
"arxiv_id": "2109.13983",
"language": "en",
"url": "https://arxiv.org/abs/2109.13983"
} |
\section{Introduction}
Despite a long history, starting with the 1798 measurement by Henry Cavendish~\cite{cavendish}, our current knowledge
of the universal gravitational constant $G$ is rather poor compared to other fundamental constants. Gravity is the weakest force in nature and it is impossible to shield. Measu... | {
"timestamp": "2021-09-30T02:03:14",
"yymm": "2109",
"arxiv_id": "2109.14008",
"language": "en",
"url": "https://arxiv.org/abs/2109.14008"
} |
\section{Introduction} \label{sec:intro}
It has long been known that potentially all early-type galaxies (ETGs)
contain excess flux at short (vacuum ultraviolet)
wavelengths when compared to expectations from their
old, metal-rich stellar populations extrapolated to
this wavelength regime (e.g., \citealt{Code1979,
Ber... | {
"timestamp": "2021-09-30T02:00:24",
"yymm": "2109",
"arxiv_id": "2109.13935",
"language": "en",
"url": "https://arxiv.org/abs/2109.13935"
} |
\section{Introduction}
The connection between the theory of electrical networks and the Lie theory was discovered in the poineering work \cite{LP}. Later in \cite{L} an embedding $X$ of the space of electrical networks $E_n$ on a planar circular graph with $n$ boundary points to the non-negative part of the Grassmannia... | {
"timestamp": "2021-12-22T02:19:46",
"yymm": "2109",
"arxiv_id": "2109.13952",
"language": "en",
"url": "https://arxiv.org/abs/2109.13952"
} |
\section{Introduction}
In \cite{RSS_Bold1}, we produced a functorial extension of the evaluation map $S^1 \times \mathcal{L} X \to X$ to transfers along finite covers and showed that this induces a natural evaluation map on the Burnside category of finite groups. The homotopy category of classifying spectra of finite g... | {
"timestamp": "2021-09-30T02:02:12",
"yymm": "2109",
"arxiv_id": "2109.13988",
"language": "en",
"url": "https://arxiv.org/abs/2109.13988"
} |
\section{Introduction}
Quantum Chromodynamics (QCD) is the non-abelian gauge theory which describes strongly interacting matter in terms of its fundamental degrees of freedom, namely quark and gluon fields. Despite the great success of QCD at high energy scales, in which it becomes a weakly interacting theory, its non-... | {
"timestamp": "2022-01-25T02:00:58",
"yymm": "2109",
"arxiv_id": "2109.13946",
"language": "en",
"url": "https://arxiv.org/abs/2109.13946"
} |
\section{Introduction}
The $K$-\emph{nearest}-\emph{neighbour} ($K$-NN) \cite{FixHodges:51,FixHodges:52}
classifier is an elegantly simple and surprisingly effective learning
machine. It takes as input a set of training objects and their labels,
and returns for a given test object represented in terms of its \emph{pai... | {
"timestamp": "2021-09-29T02:25:51",
"yymm": "2109",
"arxiv_id": "2109.13889",
"language": "en",
"url": "https://arxiv.org/abs/2109.13889"
} |
\section{Introduction}
The definition of Oral Reading Fluency (ORF) is ``the oral translation of text with speed and accuracy,'' see for example \cite{fuchs2001oral} and \cite{shinn1992curriculum}. Reading fluency is a skill developed during childhood that is needed to understand the meaning of texts and literary pie... | {
"timestamp": "2022-05-16T02:04:36",
"yymm": "2109",
"arxiv_id": "2109.14010",
"language": "en",
"url": "https://arxiv.org/abs/2109.14010"
} |
\section{Alignment}\label{sec:alignment}
\begin{figure}[H]
\vspace{-20pt}
\centering
\includegraphics[width=\textwidth]{figures/alignment.pdf}
\vspace{-15pt}
\caption{Alignment research aims to create and safely optimize ML system objectives.}
\label{fig:alignment}
\vspace{-10pt}
\end{figu... | {
"timestamp": "2022-06-20T02:03:49",
"yymm": "2109",
"arxiv_id": "2109.13916",
"language": "en",
"url": "https://arxiv.org/abs/2109.13916"
} |
\section{Introduction}\label{sec:introduction}
\subsection{Background}\label{subsec:background}
Prediction is a fundamental part of statistical inference.
Prediction intervals are important for assessing the uncertainty of future random variables and have applications in business, engineering, science, and other fiel... | {
"timestamp": "2021-10-14T02:26:11",
"yymm": "2109",
"arxiv_id": "2109.13970",
"language": "en",
"url": "https://arxiv.org/abs/2109.13970"
} |
\section{Introduction}
Quantum Key Distribution (QKD)~\cite{GisinQKD,ScaraniSecurityQKD,DiamantiQKD, pir2019advances} has the potential to allow secure communication between any two points on Earth. In a future continental-scale quantum network (or quantum internet)~\cite{Peev2009,Sasaki2011,Kimble08,Pirandolacomme... | {
"timestamp": "2022-01-14T02:23:46",
"yymm": "2109",
"arxiv_id": "2109.13886",
"language": "en",
"url": "https://arxiv.org/abs/2109.13886"
} |
\section{Introduction}
During the last 90 years, several breakthroughs in the field of particle physics and high energies have been brought about by studying the properties of neutrinos. This historical fact motivates scrutinizing neutrino interaction at all possible energy intervals to look for signs of new non-standa... | {
"timestamp": "2022-02-08T02:10:19",
"yymm": "2109",
"arxiv_id": "2109.13962",
"language": "en",
"url": "https://arxiv.org/abs/2109.13962"
} |
\section{Introduction \label{sec:intro}}
The availability and affordability of whole-genome sequencing technology has made the use of genomic data increasingly common in epidemiological modeling studies \citep{Loman, polonsky2019outbreak}. Sequencing data from bacteriological pathogens provide insight into the spread ... | {
"timestamp": "2022-08-23T02:28:12",
"yymm": "2109",
"arxiv_id": "2109.14003",
"language": "en",
"url": "https://arxiv.org/abs/2109.14003"
} |
\section{Introduction}\label{intro}
3D pose estimation is a fundamental technology that has become very important in recent years for computer vision-based tasks, primarily due to advances in several practical applications such as virtual reality (VR) \citep{alam2022unified}, augmented reality (AR) \citep{makar2014inte... | {
"timestamp": "2022-05-10T02:43:57",
"yymm": "2109",
"arxiv_id": "2109.13879",
"language": "en",
"url": "https://arxiv.org/abs/2109.13879"
} |
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