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Probabilistic reasoning systems combine different probabilistic rules and probabilistic facts to arrive at the desired probability values of consequences. In this paper we describe the MESA-algorithm (Maximum Entropy by Simulated Annealing)…

人工智能 · 计算机科学 2013-03-25 Gerhard Paaß

The maximum-entropy principle (Max-Ent) is a valuable and extensively used tool in statistical mechanics and quantum information theory. It provides a method for inferring the state of a system by utilizing a reduced set of parameters…

量子物理 · 物理学 2024-03-01 F. T. B. Pérez , J. M. Matera

We propose a method for inferring entropy production (EP) in high-dimensional stochastic systems, including many-body systems and non-Markovian systems with long memory. Standard techniques for estimating EP become intractable in such…

统计力学 · 物理学 2026-02-20 Miguel Aguilera , Sosuke Ito , Artemy Kolchinsky

(Jaynes') Method of (Shannon-Kullback's) Relative Entropy Maximization (REM or MaxEnt) can be - at least in the discrete case - according to the Maximum Probability Theorem (MPT) viewed as an asymptotic instance of the Maximum Probability…

数据分析、统计与概率 · 物理学 2012-08-27 M. Grendar, , M. Grendar

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

计算物理 · 物理学 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo

A method based on Maximum-Entropy (ME) principle to infer photon distribution from on/off measurements performed with few and low values of quantum efficiency is addressed. The method consists of two steps: at first some moments of the…

量子物理 · 物理学 2009-11-11 Andrea R. Rossi , Matteo G. A. Paris

The well known maximum-entropy principle due to Jaynes, which states that given mean parameters, the maximum entropy distribution matching them is in an exponential family, has been very popular in machine learning due to its "Occam's…

机器学习 · 计算机科学 2016-07-13 Yuanzhi Li , Andrej Risteski

Modern deep neural networks achieved remarkable progress in medical image segmentation tasks. However, it has recently been observed that they tend to produce overconfident estimates, even in situations of high uncertainty, leading to…

计算机视觉与模式识别 · 计算机科学 2023-06-05 Agostina Larrazabal , Cesar Martinez , Jose Dolz , Enzo Ferrante

A brief review of the Hadron Gas model with reference to high energy heavy ion collisions is presented. The entropy dependence on temperature and baryonic chemical potential is numerically calculated, together with the entropy distribution…

核理论 · 物理学 2007-05-23 Maciej Andrzej Stankiewicz

Maximum Entropy is an image reconstruction method conceived to image a sparsely occupied field of view and therefore particularly appropriate to achieve super-resolution effects. Although widely used in image deconvolution, this method has…

太阳与恒星天体物理 · 物理学 2020-05-13 Paolo Massa , Richard Schwartz , A Kim Tolbert , Anna Maria Massone , Brian R Dennis , Michele Piana , Federico Benvenuto

Efficient approximation lies at the heart of large-scale machine learning problems. In this paper, we propose a novel, robust maximum entropy algorithm, which is capable of dealing with hundreds of moments and allows for computationally…

机器学习 · 统计学 2019-06-05 Diego Granziol , Binxin Ru , Stefan Zohren , Xiaowen Doing , Michael Osborne , Stephen Roberts

In this thesis we start by providing some detail regarding how we arrived at our present understanding of probabilities and how we manipulate them - the product and addition rules by Cox. We also discuss the modern view of entropy and how…

数据分析、统计与概率 · 物理学 2009-01-21 Adom Giffin

The asymptotic convergence of probability density function (pdf) and convergence of differential entropy are examined for the non-stationary processes that follow the maximum entropy principle (MaxEnt) and maximum entropy production…

信息论 · 计算机科学 2014-01-14 Alexander L. Fradkov , Dmitry S. Shalymov

Recent theoretical results renewed the interest in charged particle multiplicity distributions. The Shannon entropy of such distributions is conjectured to be related to the entanglement or von Neumann entropy of partonic quantum system. In…

高能物理 - 唯象学 · 物理学 2025-07-01 Sándor Lökös

QCD sum rules are analyzed with the help of the Maximum Entropy Method. We develop a new technique based on the Bayesion inference theory, which allows us to directly obtain the spectral function of a given correlator from the results of…

高能物理 - 唯象学 · 物理学 2015-03-17 Philipp Gubler , Makoto Oka

We introduce and analyze the notion of mutual entropy-production (MEP) in autonomous systems. Evaluating MEP rates is in general a difficult task due to non-Markovian effects. For bipartite systems, we provide closed expressions in various…

统计力学 · 物理学 2015-06-16 Giovanni Diana , Massimiliano Esposito

We will discuss the maximum entropy production (MaxEP) principle based on Jaynes' information theoretical arguments, as was done by Dewar (2003, 2005). With the help of a simple mathematical model of a non-equilibrium system, we will show…

统计力学 · 物理学 2009-11-13 Stijn Bruers

Although compartmental dynamical systems are used in many different areas of science, model selection based on the maximum entropy principle (MaxEnt) is challenging because of the lack of methods for quantifying the entropy for this type of…

信息论 · 计算机科学 2023-08-23 Holger Metzler , Carlos A. Sierra

In a recent Letter [Phys. Rev. Lett. 80, 1003 (1998)] Hussein and Pato employed the maximum entropy principle (MEP) in order to derive interpolating ensembles between any pair of universality classes in random matrix theory. They apply…

无序系统与神经网络 · 物理学 2009-10-31 Martin Janssen , Boris Shapiro , Imre Varga

The concept of Relative Divergence of one Grading Function from another is extended from totally ordered chains to power sets of finite event spaces. Shannon Entropy concept is extended to normalized grading functions on such power sets.…

概率论 · 数学 2022-07-15 Alexander Dukhovny