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2,121,713,846,641 | arxiv | \section{Introduction}
\IEEEPARstart
In 2013, the authors published theory \cite{BB13a} showing that if the
arithmetic in a standard processor is modified appropriately, then,
given three provisos detailed below, the processor continues to operate
correctly, but all the states obtained in the processor and memory are
e... |
2,121,713,846,642 | arxiv | \section{General Interval Borders}%
\label{sec:equal-keys}
In Section~\ref{dsts:sec:dsts}, we made two assumptions as to the nature of the intervals' borders:
we did assume a total ordering on the keys of the nodes, i.e., no segment border may appear in two
segments, and we assumed all intervals to be right-open. We n... |
2,121,713,846,643 | arxiv | \section{Introduction}
\label{intro}
Multi-messenger observations of gravitational wave sources provide a wealth of information
about their astrophysical properties and environments. For instance, gravitational wave
and electromagnetic observations of the binary neutron star GW170817~\cite{bnsdet:2017}
provided new... |
2,121,713,846,644 | arxiv | \section{Introduction}
\label{Sec:Introduction}
Quantum coherent effects in electronic transport such as Aharonov-Bohm (AB) conductance oscillations,
weak localization, and universal conductance fluctuations~\cite{Imry_book} originate from interferences
between partially scattered electronic waves. In contras... |
2,121,713,846,645 | arxiv | \section{Introduction}
Recently, the authors have used Vinogradov's method to prove density results about elements of order $16$ in class groups in certain \textit{thin} families of quadratic number fields parametrized by a single prime number, namely the families $\{\mathbb{Q}(\sqrt{-2p})\}_{p\equiv -1\bmod 4}$ and $\... |
2,121,713,846,646 | arxiv | \section{}
\section{Introduction}
The leading candidate for a non-perturbative formulation of M-theory
is expected to be the infinite matrix size limit of a matrix model of
some kind. One such proposal is the BFSS model
\cite{Banks:1996vh,Townsend:1995kk,Susskind:1997cw} which was
conjectured to capture the entire d... |
2,121,713,846,647 | arxiv | \section{Introduction}
This survey draws a broad-stroke, panoramic picture of the State of the Art (SoTA) of the research in generative methods for the analysis of social media data. It fills a void, as the existing survey articles are either much narrower in their scope~\cite{alexandridis2021survey}
or are dated~\ci... |
2,121,713,846,648 | arxiv |
\section{Introduction}
Deep learning based speech recognition has come a long way in the past decade~\cite{6296526}. DL is a subfield of machine learning which imitates the neural network structure of the human brain for pattern matching and classification. The major reason for its popularity is that it does not need ... |
2,121,713,846,649 | arxiv | \section{Introduction}
\label{Introduction}
The discovery of Higgs boson at the Large Hadron Collider (LHC) of CERN with
mass 125.09 $\pm$ 0.21 (stat.) $\pm$ 0.11 (syst.) GeV
\cite{Aad:2012tfa, Chatrchyan:2012xdj} established the Standard Model (SM) of
particle physics as one of the most successful scientific pursuits ... |
2,121,713,846,650 | arxiv | \section{Introduction}
Einstein's theory of General Relativity (GR) has passed successfully through innumerable tests from small scales to large scales~\cite{Will}.
One of its predictions, of the existence of gravitational waves, has recently been confirmed by the advanced Laser
Interferometer Gravitational-Wave ... |
2,121,713,846,651 | arxiv | \section{Introduction}
At present there exists a special interest to the so-called $M$ theory
(see, for example, \cite{M-th1}-\cite{M-th2}).
This theory is ``supermembrane'' analogue of
superstring models \cite{GSW} in $D=11$. The low-energy limit of
$M$-theory after a dimensional reduction leads to models governed b... |
2,121,713,846,652 | arxiv | \section{Introduction}
Let $\mathscr{G}$ denote the category of finite undirected graphs without multiple edges, with graph morphisms being functions on vertices which preserve edges. The class of $\times$-homotopy equivalences in $\mathscr{G}$ defines a class of weak equivalences on the category of graphs, and we den... |
2,121,713,846,653 | arxiv | \section{Introduction}
\label{sec:introduction}
If supersymmetry is realized in nature, it is likely that its breaking scale is much higher than the one currently probed experimentally.
It may also be as high as the string scale.
In a scenario of this type, it is then difficult to find a good use to the phenomenologic... |
2,121,713,846,654 | arxiv | \section{Introduction}
Resonant processes in collisions of highly charged iron ions with electrons are important for astrophysical hot plasmas, such as the solar corona.
Resonant processes are initiated by dielectronic capture, in which the incident electron is captured to the ion while exciting an inner shell electro... |
2,121,713,846,655 | arxiv | \section{Introduction}
Paraproducts first appeared in the work of J.-M. Bony~\cite{Bony} on paradifferential operators.
They are closely related to Carleson measures, see \cite{Carleson:58} and \cite{Carleson:62} for the original formulations, and are fundamental in harmonic analysis, in particular in the study of sin... |
2,121,713,846,656 | arxiv | \section{Introduction}
Storm surges cause coastal inundation due to setup of the water surface resulting from atmospheric pressure, surface winds and breaking waves. They occur during tropical cyclones, also known as typhoons or hurricanes, and are referred as the major geophysical risks associated with coastal areas d... |
2,121,713,846,657 | arxiv | \section{Introduction}
\label{Introd}
Two-dimensional (2D), spin-1/2, Heisenberg antiferromagnets (HAFs)
have been much studied in recent years. The interplay between (either
dynamic or geometric) frustration and quantum fluctuations in
determining the ground-state (gs) phase diagram of such models has
been of particu... |
2,121,713,846,658 | arxiv | \section{Introduction}
A holomorphic foliation $\mathcal F$ on a complex manifold $M$ is
known to produce a ``holomorphic action'', as discovered by P.
Baum and R. Bott in \cite{BB2}, on the virtual bundle $TM/\mathcal F$.
Such a partial holomorphic action provides a holomorphic
connection for the bundle $TM/\mathcal... |
2,121,713,846,659 | arxiv | \section[#1]{\centering #1}}
\usepackage{caption}
\usepackage{amsmath}
\makeatletter
\renewcommand\tagform@[1]{\maketag@@@ {[\ignorespaces #1\unskip \@@italiccorr ]}}
\makeatother
\usepackage{array}
\newcolumntype{P}[1]{>{\centering\arraybackslash}p{#1}}
\hyphenation{op-tical net-works semi-conduc-tor}
\begin{do... |
2,121,713,846,660 | arxiv | \section{Self-consistent superconducting gap}
In Fig.~\ref{fig:PUEg}(a) we show the self-consistent profile of $F_U$ across the QSHI-SC interface for a few representative values of $\mu_{\rm I}$ and $\tilde{t}$. As seen, there is a depletion of Cooper pairs, or inverse proximity effect, on the SC side of the junction w... |
2,121,713,846,661 | arxiv | \section{Introduction}
Supervised learning is one of the machine learning techniques that maps input to output based on given input-output pairs in the training data. The training data for supervised learning consists of a set of labeled samples. Each labeled sample consists an input data and the desired output that ma... |
2,121,713,846,662 | arxiv | \section{Introduction}
The inherent broadcast nature of wireless medium is vulnerable to security breaches, attracting passive or active attacks from potential eavesdroppers \cite{li2021maximizing}.
In contrast to conventional encryption schemes that experience difficulties in key distribution, physical-layer key gener... |
2,121,713,846,663 | arxiv | \section{Introduction}
Large antenna systems as a key technique for the fifth-generation (5G) and future mobile communications, which promise to scale up the performance of conventional communication systems by utilizing the spatial degrees of freedom.
However, owing to the existence of buildings, trees, cars, and eve... |
2,121,713,846,664 | arxiv | \section{Background}\label{sec:background}
We recall below the cut-free fragment of system $\ol$
(a.k.a. LJT), a sequent calculus for intuitionistic implication
by Herbelin \cite{HerbelinCSL94}.
Letters $p,q,r$ are used to range over a base set of propositional
variables (which we also call \emph{atoms}). Letters $A... |
2,121,713,846,665 | arxiv | \section{Introduction}
\begin{table*}[!b]
\centering
\caption{Description of Dataset used}
\end{table*}
\begin{figure*}[!b]
\centering
\includegraphics[width=1.0\textwidth]{Description_of_dataset_used.png}
\end{figure*}
\vspace{2mm} E-government - the use of information communication technologies to improve... |
2,121,713,846,666 | arxiv | \section{INTRODUCTION}
Benefitting from the advanced sensors such as the laser radar, camera, millimeter-wave radar and equipments as well as the complex processing algorithms, the autonomous vehicles can accurately perceive the surrounding environment\cite{chen2019autonomous}. Based on perception results, the planning... |
2,121,713,846,667 | arxiv | \section{Introduction}
\label{sec:introduction}
A primary focus in algebraic statistics is the study of
statistical models that can be represented by
polynomials in the model parameters.
This class of algebraic statistical models includes graphical models for
both Gaussian and discrete random variables \cite{DrtonSul... |
2,121,713,846,668 | arxiv | \section{Introduction}
Establishing the precise mechanism of the spontaneous breaking of the
electroweak gauge symmetry is a central focus of the activity in high energy
physics and, certainly, one of the primary undertakings of the Large Hadron
Collider, the LHC, as well as the Tevatron. In the Standard Model (SM... |
2,121,713,846,669 | arxiv | \section{\@startsection {section}{1}{\z@
{-3.5ex \@plus -1ex \@minus -.2ex
{2.3ex \@plus.2ex
{\normalfont\large\bfseries}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@
... |
2,121,713,846,670 | arxiv | \section{Introduction}
\label{sec:intro}
As the world moves towards autonomous systems in every field, there is a need for small embedded
devices that can interact with the environment on its edge rather than offloading computations to
the cloud. These devices often operate on physical-world data such as audio, vide... |
2,121,713,846,671 | arxiv | \section{Introduction}
\input{introduction_sv2.tex}
\section{Preliminary}
\input{Preliminary_sv2.tex}
\section{Budgeted Batch Bayesian Optimization}
\input{Framework4.tex}
\section{Experiments}
\input{Experiment_sv4.tex}
\section{Conclusion}
We have introduced a novel approach for batch Bayesian optimization.
... |
2,121,713,846,672 | arxiv | \section{Introduction}
Quantum communication channels~\cite{kn:nielsen-chuang,kn:benenti-casati-strini}
use quantum systems to transfer
classical or quantum information. In the first case, we can encode
classical bits by means of quantum states. In the latter case, we may
want to transfer an unknown quantum state bet... |
2,121,713,846,673 | arxiv | \section{Introduction}
Our quest on the early phases of galaxy evolution cannot prescind from the study of cold gas.
High--redshift galaxies are indeed more gas--rich than present day objects with gas fractions up to unity, as witnessed by large observing campaigns (e.g. \citealt{2018ApJ...853..179T}).
The rate at whic... |
2,121,713,846,674 | arxiv | \section{Introduction}
Unmeasured confounding is a crucial problem in observational studies. Simpson's (1951) \nocite{simpson1951interpretation} paradox
is an elegant illustration of the type of bias that may arise in causal inference subject to unmeasured confounding.
Sometimes an analyst may have access to one o... |
2,121,713,846,675 | arxiv | \section{Introduction}
\par Multicore processor, a chip with two or more processors, has completely replaced single core processor in personal computers. This development has put forth a challenge in the effective utilization of the processing power of multicore systems. Advancement in hardware technology always throws... |
2,121,713,846,676 | arxiv | \section*{Version fran\c{c}aise abr\'eg\'ee}
\
\selectlanguage{english}
\tableofcontents
\section{Purpose of this work}
\subsection{Coupled wave-Klein-Gordon systems}
Our main motivation in the present work is the global evolution problem for self-gravitating massive matter fields and, especially, the glo... |
2,121,713,846,677 | arxiv | \section{Introduction}
Multiple collaborative agents can form large scale swarms which have wide application in various fields including assisting public safety communications~\cite{merwaday2015uav}, environment mapping and exploration~\cite{rencken1993concurrent, burgard2000collaborative}, and cooperative hunting~\c... |
2,121,713,846,678 | arxiv | \section{Introduction}
Modular forms and their various generalizations are ubiquitous in mathematics. They enjoy diverse and often surprising applications in many areas of mathematics, including number theory, representation theory, discrete geometry \cite{wiles1, wiles2, borcherds, MV,HC} as well as theoretical physic... |
2,121,713,846,679 | arxiv |
\section{Introduction}
\blfootnote{
%
\hspace{-0.65cm} This work is licensed under a Creative Commons
Attribution 4.0 International License.
License details:
\url{http://creativecommons.org/licenses/by/4.0/}.
\vspace{2mm}\\
\hspace{-0.65cm}
$^{*}$ Equal... |
2,121,713,846,680 | arxiv | \section{Introduction and statement of result}\label{section0}
\setcounter{equation}{0} \setcounter{dref}{0}
The purpose of this note is to show how the methods of~\cite{BZ1},~\cite{BZ2} apply to estimate the energy
decay rates for the damped wave equation on a class of planar domains, including some ergodic billiards... |
2,121,713,846,681 | arxiv | \section{Introduction}
\label{sec:qs-VcVh_intro}
Bacterial survival is critically dependent on regulatory networks
which monitor and respond to environmental fluctuations. An important
example of such a regulatory network is the pathway responsible for
bacterial ``quorum sensing", commonly defined as the regulation of... |
2,121,713,846,682 | arxiv | \section{Introduction}
Consider an alphabet $A$ of size $d$. A de Bruijn cycle of order $k$
over the alphabet $A$ is a periodic sequence of characters of $A$
such that, within one period, every possible string of size $k$
occurs exactly once as a substring. For example $00110$ and
$0022120110$ are de Bruijn sequences o... |
2,121,713,846,683 | arxiv |
\section{Introduction}
\label{sec:intro}
Local visual descriptors \cite{detone2018superpoint,tian2020hynet,barroso-laguna2019keynet,revaud2019r2d2,tian2019sosnet} are fundamental to a wide range of computer vision applications such as SLAM \cite{mur-artal2016orb-slam,newcombe2011dtam,mei2011rslam,dong2015dis... |
2,121,713,846,684 | arxiv | \section*{References}
|
2,121,713,846,685 | arxiv |
\section{Introduction}
\label{sec:intro}
Mobility data is becoming increasingly important -
for urban planning~\cite{zhou_understanding_2018}, traffic
management~\cite{naboulsi_large-scale_2016}, and smart city
applications~\cite{creutzig_smart_2021}. To tackle challenges posed by the
climate crisis,
... |
2,121,713,846,686 | arxiv | \section{Introduction}\label{sec01}
The calculus of the energy dissipation inside a stiff body is generally done by estimating the dissipation resulting from the action of the primary tidal
force in deforming the planet (Kopal, 1963; Kaula, 1963, 1964; Peale and Cassen, 1978; Segatz et al., 1988; Wisdom, 2008; Shoj... |
2,121,713,846,687 | arxiv | \section{Introduction}
At high redshift, most of the baryons are located in the intergalactic medium \citep[IGM; {\em e.g.}][]{petitjean93}
where they are highly ionized by the UV-background produced by galaxies and QSOs \citep{GunnandPeterson}, at least
since $z\sim 6$ \citep[]{Fan06, Becker07}.
The large absorpti... |
2,121,713,846,688 | arxiv | \section{Introduction}
In this paper we establish a relation between certain collections of lattice paths and vector continued fractions generated by the Jacobi-Perron algorithm, when applied to a vector of resolvent functions of a banded Hessenberg operator. The relation can be viewed as the vector analogue of the wel... |
2,121,713,846,689 | arxiv | \section{Introduction}
Given a filtered probability space $(\Omega,\mathcal{F},(\mathcal{F}_t)_{t\in[0,T]},P)$, Pardoux and Peng \cite{PP} first introduced the following type of nonlinear backward stochastic differential equations (BSDEs for short):
\begin{displaymath}
Y_t=\xi+\int_t^T f(s,Y_s,Z_s)ds-\int_t^T Z_sd... |
2,121,713,846,690 | arxiv | \section{Introduction}
Survival function estimation has long been a major component of survival analysis. Yet estimation of conditional survival functions, i.e., survival functions that depend on covariate values, remains a challenging problem. A common semi-parametric approach combines the Cox proportional hazard mo... |
2,121,713,846,691 | arxiv | \section{Introduction}
The planetary nebula luminosity function (PNLF) has proven remarkably successful as a distance indicator \citep[e.g.,][]{ciardulloetal2002}. This success is based upon the constancy of the peak luminosity as a function of galaxy morphology, which is presumably a proxy for the mean age of the st... |
2,121,713,846,692 | arxiv |
\section{Introduction}
\label{sec:introduction}
A lot of attention has been on creating high-performing classifiers
such as, e.g., support vector machines (SVMs) \citep{cortes:1995:a}
and random forest \citep{breiman:2001:a}, both of which are among the
best-performing classifiers \citep{delgado:2014:a}. However, the
... |
2,121,713,846,693 | arxiv | \section{Introduction}
\renewcommand{\thesection}{\arabic{section}}
In this paper, we establish fine properties of the elliptic measure associated to the solvability of the Dirichlet problem for certain small perturbations of elliptic operators in chord arc domains.
The elliptic measure is that which arises naturally ... |
2,121,713,846,694 | arxiv | \section{Introduction}
Let $\Omega \subset R^2$ be a domain with a boundary $
\partial \Omega$.
Define the Dirichlet Laplacian operator $\Delta$. Then the
eigenvalue problem of the Laplacian on the $\Omega$ is
\begin{equation} \label{eq:1}
\left\{ \begin{aligned}
\ \Delta \Psi _n + \lambda _n \Psi _n ... |
2,121,713,846,695 | arxiv |
\section{Derivation of the PF Equation}
\label{app:A}
The drift term $\V{\zeta}(\V{x}^{(k)},\lambda)$ can be determined using the FPE, which is given as
\begin{align}
\frac{\partial f(\V{x}^{(k)};\lambda)}{\partial \lambda} = & -\nabla_{\V{x}}\transp (f(\V{x}^{(k)};\lambda) \V{\zeta}(\V{x}^{(k)},\lambda)) \nonumber... |
2,121,713,846,696 | arxiv | \subsection{Analysis}
The rotation speed of the absorber was increased in steps of (approximately) 0.2 Hz. Various forms of sound absorbing foam were tested with varying yet similar porosity {{(e.g. cellular ethylene propylene diene monomer, EPDM, soundproofing rubber, RS Components, 5\% absorption at 60 Hz)}}. All ca... |
2,121,713,846,697 | arxiv |
\section{Introduction}
\label{sec:introduction}
\paragraph{Context.}
The biological role of proteins is largely determined by their interactions with other proteins and small molecules.
Quantum-chemical methods, such as \emph{Density Functional Theory} (DFT), provide an accurate description of these interactions b... |
2,121,713,846,698 | arxiv | \section{Introduction}
The nature of star formation is one of the great unsolved problems in
astrophysics. The formation of stars is extremely interesting in
itself, but also has implications for galaxy formation and evolution,
and planet formation. In recent years, studies of young
star forming regions have shown tha... |
2,121,713,846,699 | arxiv | \section{Introduction}
A piecewise affine dynamical system is a special type of finite-dimensional, nonlinear input-state-output systems with the distinguishing feature that the functions representing the system of differential equations and output equations are piecewise affine functions. Such systems arise in vari... |
2,121,713,846,700 | arxiv | \section{Introduction}
An infinitesimal time reparametrisation, usually called Sundman transformation \cite{S13}, was introduced when looking for an analytic solution to the three-body problem. Such transformation
is very intriguing, at least from a geometric perspective, but it allowed to find solutions fo... |
2,121,713,846,701 | arxiv | \section{Temporal-Difference Learning} \label{sec:td}
For notational simplicity, we write $\RR^d = \RR^{d_1} \times \RR^{d_2}$, ${\mathcal{X}} = {\mathcal{S}}\times \cA \subseteq \RR^d$, and $x = (s, a) \in {\mathcal{X}}$ for any $s\in {\mathcal{S}}$ and $a\in \cA$.
\vskip4pt
\noindent{\bf Parameterization of Q-Func... |
2,121,713,846,702 | arxiv | \subsection{Empirical Results on Running Time}
As we claimed in paper, the algorithm 2 (PRL(G)) is not efficient. In here we attached the execution time for one epoch for three different methods: \highlight{Standard}, \highlight{PRL(G)}, \highlight{PRL(L)}. For fair comparison, we replace all batch normalization module... |
2,121,713,846,703 | arxiv | \section{Introduction}
Strong interactions between nanoconfined photons and molecular systems\cite{Nori19_19,Narang18_1479,Barnes14_013901} can lead to the creation of hybrid light--matter states known as polaritons that may display remarkably different chemical and physical properties than their parent components.\ci... |
2,121,713,846,704 | arxiv | \section{Introduction}
\label{SectionIntroduction}
The Maxwell equations are the basis of electro-magnetic theory and thus one of the fundamental partial
differential equations in physics. In the case of instantaneous nonlinear material laws,
they form a symmetric quasilinear hyperbolic system under natural assu... |
2,121,713,846,705 | arxiv |
\section{Introduction}
Belief revision is an operation of belief change that consists
in modifying minimally old beliefs so that they become consistent
with new beliefs~\cite{agm-85}.
One way to study this issue following a knowledge representation angle
is to consider a formalism and to study some belief revisio... |
2,121,713,846,706 | arxiv | \section{Introduction}
Exact solutions to Einstein's field equations and their supergravity generalizations have been playing,
and continue to play, a crucial role in many important developments in general relativity, black hole
physics, integrable systems, string theory and quantum gravity. Being highly nonlinear, co... |
2,121,713,846,707 | arxiv | \section{Introduction}
Spoken languages make use of the ``{vocal - auditory}" channel, as they are articulated with the mouth and perceived with the ear. All writing systems also derive from, or are representations of, spoken languages. Sign languages (SLs) are different as they make use of the ``{corporal - visual}" c... |
2,121,713,846,708 | arxiv | \section{Introduction}
In the future, robots will be ever-present in our daily lives. We will live with them, work with them, and engage in all kinds of collaborative and potentially competitive interactions with them.
Examples of robot sharing workspace with human can already be found today in the realms of elderly ... |
2,121,713,846,709 | arxiv | \section*{Introduction}
The aim of this paper is to generalize the atomic decomposition theorem from Triebel \cite{Tri92, Tri97} for Besov and Triebel-Lizorkin spaces $B^s_{p,q}(\re) $ and $F^{s}_{p,q}(\re)$ and to present two applications to pointwise multipliers and diffeomorphisms as continuous linear operators in ... |
2,121,713,846,710 | arxiv | \section{Introduction}
How super massive black holes interact with and impact their host galaxies via feedback processes is critical to understanding galaxy evolution (e.g., \citealt{Hopkins2006,Fabian2012,Kormendy2013,Heckman2014}). Active galactic nuclei (AGN) can exert positive or negative feedback via either radi... |
2,121,713,846,711 | arxiv | \section{Introduction}
Object recognition is crucial for most robot vision systems to obtain a semantic-level understanding of the robot's environment. Early deep learning methods achieved extraordinary performance in this task. However, these methods are sensitive to variations in
illumination, background, and object... |
2,121,713,846,712 | arxiv | \section{Introduction}
The nature of the Galactic center source IRS~8 \citep{bec75}, one of the
brightest compact mid-infrared sources in the central infrared cluster,
was unknown until adaptive optics H- and K-band imaging revealed that the
bulk of its infrared emission originates in a classic bowshock
\citep{rig03,g... |
2,121,713,846,713 | arxiv | \section{Introduction}
The low-temperature quasiparticle transport in two-dimensional $d$-wave
superconductors like cuprates is a fascinating issue
due to the presence of four nodes in the energy spectrum of the Bogoliubov
quasiparticles, around which the low-lying excitations have a Dirac-like dispersion.
Within th... |
2,121,713,846,714 | arxiv | \section{Credits}
This document has been adapted
by Steven Bethard, Ryan Cotterrell and Rui Yan
from the instructions for earlier ACL and NAACL proceedings, including those for
ACL 2019 by Douwe Kiela and Ivan Vuli\'{c},
NAACL 2019 by Stephanie Lukin and Alla Roskovskaya,
ACL 2018 by Shay Cohen, Kevin Gimpel, and We... |
2,121,713,846,715 | arxiv | \section*{introduction}
In recent years, one-dimensional (1D) semiconductor nanostructures have
received increasing attention. The potential technological application
of quantum wires (QWRs), e.g. in laser devices, has fueled a search for
new fabrication techniques and improved sample quality.~\cite{review}
In this ar... |
2,121,713,846,716 | arxiv |
\section{Introduction}
In the imaginary world of simulations, researchers have a well developed picture of the collapse of matter into halos. Over time, small halos are absorbed into larger units. Collapsed regions filled with substructure can be defined by hundreds or thousands of particles. Halos can be identifi... |
2,121,713,846,717 | arxiv |
\section{Conclusions and Future Directions}
We have considered the problem of assessing the adversarial robustness of deep neural network models under both the Markov Chain Monte Carlo (MCMC) and Bayesian Dark Knowledge (BDK) inference approximations. Interestingly, our results show that full MCMC-based inference has ... |
2,121,713,846,718 | arxiv | \section{Introduction}
Let $G$ be a group and $A$ be a commutative ring. The topological Hochschild homology spectrum of the group algebra $A[G]$
is determined by the cyclic bar construction of the group $G$ and the topological Hochschild spectrum of the ring $A.$
More precisely, Hesselholt and Madsen proved \cite... |
2,121,713,846,719 | arxiv | \section{Introduction}
Relaxation dynamics are a paradigm for describing complex
dynamical phenomena spanning condensed matter \cite{datt87}, polymeric
\cite{doi86}, granular \cite{edwa94} and single-molecule
systems \cite{noe11,chen07}, and even cellular regulatory
networks \cite{walc12}. Relaxation
concepts underlie... |
2,121,713,846,720 | arxiv | \section{Introduction}
Currently, $K \to \pi l \nu_l$ ($K_{l3}$) decay provides
the most precise determination
of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $|V_{us}|$
through $\Gamma \propto |V_{us}|^2 |f_+(0)|^2 $, where
$\Gamma$ is the decay rate and $f_+(q^2)$ is the form factor
defined from the $K \to... |
2,121,713,846,721 | arxiv | \section{Introduction}
\noindent The Robot Operating System (ROS) is a popular robotics middleware framework with roots in academic research.
In the last years, it underwent a redesign and reimplementation under the name ROS 2~\cite{ROS2} to address the needs of industry.
It now features QoS-configurable communication ... |
2,121,713,846,722 | arxiv | \section{Introduction}
The cancer of the prostate gland is one of the most frequently diagnosed male illnesses that may lead to the death of individuals older than 50. There are two major causes for the dramatic increase in the number of men diagnosed with prostate cancer every year: i) a straight-forward blood test be... |
2,121,713,846,723 | arxiv | \section*{ABSTRACT}
We study irreversible A-B reaction kinetics at a fixed interface separating two
immiscible bulk phases, A and B. Coupled equations are derived for
the hierarchy of many-body correlation functions. Postulating
physically motivated bounds, closed equations result without the need
for ad hoc decoup... |
2,121,713,846,724 | arxiv | \section{INTRODUCTION}
Over the past two decades, network theory~\cite{NS,Doro_book,Newman_book,jkps,Doro_crit} has provided the pivotal framework for characterizing the interplay between graph structures and dynamics of complex systems.
Recently, multilayer networks~\cite{Bianconi2018multilayer,Buldyrev2010,PhysicsRe... |
2,121,713,846,725 | arxiv | \section{Introduction}
\label{sec:intro}
Swirling flows are ubiquitous in many industrial applications including furnaces, cyclone separators, heat exchangers, and turbines. Yet, efficient numerical prediction with Reynolds-averaged Navier--Stokes (RANS) approximations is challenging and large-eddy simulations (LES... |
2,121,713,846,726 | arxiv | \section{Introduction}
The data traffic in cellular networks has increased exponentially for a long time and is expected to continue this trend, at least for the next five years \cite{Cisco11}. Currently, one of the biggest challenges related to the traffic growth is the increasing energy consumption of the cellular i... |
2,121,713,846,727 | arxiv | \section{INTRODUCTION}
\label{sec:intro}
Core-collapse supernovae (SNe) mark the explosive deaths of massive stars. Several independent lines of evidence including explosion modeling \citep{Nadyozhin03,Maguire12,Jerkstrand13,Takats13}, progenitor star photometry
\citep{Li07,Smartt09MNRAS,Walmswell12}, rate statistic... |
2,121,713,846,728 | arxiv | \section{Introduction}
In his study of zeta-functions of families of algebraic varieties Dwork discovered
a number of remarkable congruences for truncated solutions of Picard--Fuchs equations.
For example, let
\[
F(z)= \frac1\pi\int_1^\infty \frac{dx}{\sqrt{x(x-1)(x-z)}}=\sum_{k\ge0}\left(\frac{(1/2)_k}{k!}\righ... |
2,121,713,846,729 | arxiv | \section{Introduction}\label{sec:intro}
Finding the optimal tree explaining a given dataset, e.g. a DNA alignment, is one of the biggest challenges in modern phylogenetics. One challenge is that for most optimization criteria finding the best tree is NP-hard (cf. \citep{foulds_graham_1982,roch_2006,chor_tuller_2006}).... |
2,121,713,846,730 | arxiv | \section{Introduction}
\label{sec:intro}
Multiple Object Tracking (MOT) is a complex but significant task in computer vision, which can be applied to different applications ranging from autonomous vehicles to automated video analysis and surveillance. Most MOT methods follow the \textit{tracking by detection} paradigm... |
2,121,713,846,731 | arxiv | \section{Introduction}
A \emph{pattern class} (or simply \emph{class}) is a set of permutations closed downwards under a natural partial order. Therefore, every class is defined by a set of forbidden restrictions, the minimal permutations that do not belong to the class. A central endeavor in the theory of pattern cl... |
2,121,713,846,732 | arxiv |
\section{Introduction}
\IEEEPARstart{G}{}enerating vivid human-like co-speech gestures is of great importance for producing attractive avatars that people are willing to interact with.
There has been a surging demand for generating realistic human motions for given audio clips recently.
However, this problem is v... |
2,121,713,846,733 | arxiv | \section{Introduction}\label{intro}
The third author has recently proposed an improvement of the so-called Multiplicity Conjecture, for the case of codimension three level algebras. The purpose of this note is to prove the first case of this improved conjecture, namely that of codimension three Gorenstein algebras. ... |
2,121,713,846,734 | arxiv | \section{Introduction}
Primordial fluctuations of a vast range of wavelengths are expected to have been generated in the early universe. While their power spectrum on large scales has been well determined \cite{Ade:2015xua}, that on small scales has been constrained only weakly by the null detection of primordial blac... |
2,121,713,846,735 | arxiv | \section{Introduction}
On the one hand, the geometrical structure of neural networks trained on the given dataset will gradually become regular. On the other hand, the Ricci flow is a process of ``surgery" on a manifold, which will make the manifold also become regular. Both of them seem to have the same evolutionary ... |
2,121,713,846,736 | arxiv | \section{Introduction}
The study of string vacua is an important direction in string theory both from the point of view of constructing realistic phenomenology and in the context of ideas such as the `landscape' of string vacua. To that end, it is important to understand how fluxes, especially Ramond-Ramond (RR) fluxes... |
2,121,713,846,737 | arxiv | \section{Abstract}
In 3-d the average projected area of a convex solid is $1/4$ the surface area, as Cauchy showed in the 19th century. In general, the ratio in $n$ dimensions may be obtained from Cauchy's surface area formula, which is in turn a special case of Kubota's theorem. However, while these latter results ar... |
2,121,713,846,738 | arxiv | \section{The adapted smooth metric measure space}
\label{sec:adapted}
While our extension theorems from Section~\ref{sec:extension} provide the means to study fractional GJMS operators $P_{2\gamma}$ by working in the interior of smooth metric measure spaces, they do not immediately suggest how to use assumptions on th... |
2,121,713,846,739 | arxiv | \section{Introduction}
A possibility that our world consists of more than 4-dimensional space-time
has been attracting a good deal of attention for a long time.
After the discovery of the D-brane in string theories \cite{D-brane}, the brane-world scenario
has been intensively studied as new physics beyond the St... |
2,121,713,846,740 | arxiv | \subsubsection*{Acknowledgements}
We'd like to thank Ben Poole, Sergey Ioffe, and Rif A. Saurous for comments on the draft.
\pagebreak[4]
\section{Introduction}
Pierre-Simon Laplace formulated one of the earliest Bayesian models~\citep{laplace1781memoire}. Interested in the relative birth rates of boys and girls,
... |
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