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We define the relevant information in a signal $x\in X$ as being the information that this signal provides about another signal $y\in \Y$. Examples include the information that face images provide about the names of the people portrayed, or…

数据分析、统计与概率 · 物理学 2007-05-23 Naftali Tishby , Fernando C. Pereira , William Bialek

Given additional distributional information in the form of moment restrictions, kernel density and distribution function estimators with implied generalised empirical likelihood probabilities as weights achieve a reduction in variance due…

统计方法学 · 统计学 2019-10-08 Vitaliy Oryshchenko , Richard J. Smith

Aging is a universal consequence of life, yet researchers have identified no universal theme. This manuscript considers aging from the perspective of entropy, wherein things fall apart. We first examine biological information change as a…

种群与进化 · 定量生物学 2026-04-13 Stephan Baehr , Hans Baehr

Using analytical and numerical methods, it is shown that the momentum distribution of a matter wave packet launched in a random potential exhibits a pronounced coherent backscattering (CBS) peak. By analyzing the momentum distribution, key…

无序系统与神经网络 · 物理学 2012-02-06 Nicolas Cherroret , Tomasz Karpiuk , Cord A. Müller , Benoît Grémaud , Christian Miniatura

The idea behind the recently introduced "age of information" performance measure of a networked message processing system is that it indicates our knowledge regarding the "freshness" of the most recent piece of information that can be used…

性能 · 计算机科学 2020-03-10 George Kesidis , Takis Konstantopoulos , Michael Zazanis

The aim of the present study is to detect abrupt trend changes in the mean of a multidimensional sequential signal. Directly inspired by papers of Fernhead and Liu ([4] and [5]), this work describes the signal in a hierarchical manner : the…

机器学习 · 计算机科学 2021-06-11 Olivier Sorba , C Geissler

An important challenge in big data is identification of important variables. In this paper, we propose methods of discovering variables with non-standard univariate marginal distributions. The conventional moments-based summary statistics…

统计方法学 · 统计学 2019-08-30 Hyowon An , Kai Zhang , Hannu Oja , J. S. Marron

Bivariate partial information decompositions (PIDs) characterize how the information in a "message" random variable is decomposed between two "constituent" random variables in terms of unique, redundant and synergistic information…

信息论 · 计算机科学 2023-07-21 Praveen Venkatesh , Gabriel Schamberg

The decay of a parent particle into two or more daughter particles results in an entangled quantum state as a consequence of conservation laws in the decay process. Recent experiments at Belle and BaBar take advantage of quantum…

高能物理 - 理论 · 物理学 2013-11-25 Louis Lello , Daniel Boyanovsky , Richard Holman

Descriptive statistics for parametric models are currently highly sensative to departures, gross errors, and/or random errors. Here, leveraging the structures of parametric distributions and their central moment kernel distributions, a…

统计理论 · 数学 2024-09-11 Li Tuobang

Brownian motion in one or more dimensions is extensively used as a stochastic process to model natural and engineering signals, as well as financial data. Most works dealing with multidimensional Brownian motion consider the different…

The angular distribution of the flavor-changing neutral current decay B$^+$ $\to$ K$^+\mu^+\mu^-$ is studied in proton-proton collisions at a center-of-mass energy of 8 TeV. The analysis is based on data collected with the CMS detector at…

高能物理 - 实验 · 物理学 2018-12-26 CMS Collaboration

Mutual information is fundamentally important for measuring statistical dependence between variables and for quantifying information transfer by signaling and communication mechanisms. It can, however, be challenging to evaluate for…

信息论 · 计算机科学 2014-07-29 Clive G. Bowsher , Margaritis Voliotis

The uncertainty or the variability of the data may be treated by considering, rather than a single value for each data, the interval of values in which it may fall. This paper studies the derivation of basic description statistics for…

统计计算 · 统计学 2008-12-18 Marie Chavent , Jérôme Saracco

Numerical methods for the description of nonequilibrium many-particle quantum systems such as equation of motion techniques often cannot compute the full statistics of observables but only moments of it, such as mean, variance and…

统计力学 · 物理学 2018-12-05 Boris Gulyak , Boris Melcher , Jan Wiersig

We introduce a model for information spreading among a population of N agents diffusing on a square LxL lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative…

统计力学 · 物理学 2009-11-11 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

Masses and decay constants of mesons containing a single $c$ or $b$ quark are described within the framework of heavy-quark symmetry. The $B_s^* - B_s$ and $\bar B^{*0} - \bar B^0$ mass splittings are found equal to within a fraction of an…

高能物理 - 唯象学 · 物理学 2007-05-23 Jonathan L. Rosner

We show that there exist informationally incomplete phase space observables such that the Cartesian margins are informationally equivalent with position and momentum. This shows that it is possible to reconstruct the position and momentum…

量子物理 · 物理学 2015-06-04 Jussi Schultz

Two measurable characteristics of microwave one-mode photon states are discussed: a rotated quadrature distribution (tomogram) and normally/antinormally ordered moments of photon creation and annihilation operators. Extraction of these…

量子物理 · 物理学 2011-09-16 Sergey N. Filippov , Vladimir I. Man'ko

The lifetime measurement of molecular excited state has been the subject of many papers and experiments. Very often the experimental data are fitted by single or bi exponential decays which in many case is the best fit that can be done…

原子与分子团簇 · 物理学 2016-08-16 Christophe Jouvet , Gilles Grégoire , Claude Dedonder Lardeux