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Remarks on the Maximum Entropy Principle with Application to the Maximum Entropy Theory of Ecology [PDF]
Entropy, 2017 In the first part of the paper we work out the consequences of the fact that Jaynes’ Maximum Entropy Principle, when translated in mathematical terms, is a constrained extremum problem for an entropy function H ( p ) expressing the uncertainty ...
Marco Favretti
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The maximum entropy principle for compositional data [PDF]
BMC Bioinformatics, 2022 Background Compositional systems, represented as parts of some whole, are ubiquitous. They encompass the abundances of proteins in a cell, the distribution of organisms in nature, and the stoichiometry of the most basic chemical reactions.
Corey Weistuch +3 more
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Entropy, 2017 The determination of the probability distribution function (PDF) of uncertain input and model parameters in engineering application codes is an issue of importance for uncertainty quantification methods. One of the approaches that can be used for the PDF
José-Luis Muñoz-Cobo +4 more
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Lieb's Theorem and Maximum Entropy Condensates [PDF]
Quantum, 2021 Coherent driving has established itself as a powerful tool for guiding a many-body quantum system into a desirable, coherent non-equilibrium state.
Joseph Tindall +3 more
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The Maximum Entropy of a Metric Space [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractWe define a one-parameter family of entropies, each assigning a real number to any probability measure on a compact metric space (or, more generally, a compact Hausdorff space with a notion of similarity between points). These generalize the Shannon and Rényi entropies of information theory.
Leinster, Tom +1 more
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The Maximum Entropy Production Principle: Its Theoretical Foundations and Applications to the Earth System [PDF]
, 2010 The Maximum Entropy Production (MEP) principle has been remarkably successful in producing accurate predictions for non-equilibrium states. We argue that this is because the MEP principle is an effective inference procedure that produces the best ...
Axel Kleidon +4 more
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Statistical optimization for passive scalar transport: maximum entropy production versus maximum Kolmogorov–Sinai entropy [PDF]
Nonlinear Processes in Geophysics, 2015 We derive rigorous results on the link between the principle of maximum entropy production and the principle of maximum Kolmogorov–Sinai entropy for a Markov model of the passive scalar diffusion called the Zero Range Process.
M. Mihelich +3 more
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Agency Contracts under Maximum-Entropy
Entropy, 2021 This article proposes the application of the maximum-entropy principle (MEP) to agency contracting (where a principal hires an agent to make decisions on their behalf) in situations where the principal and agent only have partial knowledge on the ...
Oscar Gutiérrez, Vicente Salas-Fumás
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Mammographic image restoration using maximum entropy deconvolution [PDF]
, 2004 Bayesian maximum entropy method (MEM) has been applied to a radiological image deconvolution problem, that of reduction of geometric blurring in magnification mammography.
Birch, Ian +5 more
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Maximum entropy and sufficiency [PDF]
AIP Conference Proceedings, 2017 The notion of Bregman divergence and sufficiency will be defined on general convex state spaces. It is demonstrated that only spectral sets can have a Bregman divergence that satisfies a sufficiency condition. Positive elements with trace 1 in a Jordan algebra are examples of spectral sets, and the most important example is the set of density matrices ...
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