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Decoding ‘Maximum Entropy’ Deconvolution [PDF]
Entropy, 2022 For over five decades, the mathematical procedure termed “maximum entropy” (M-E) has been used to deconvolve structure in spectra, optical and otherwise, although quantitative measures of performance remain unknown.
Long V. Le +3 more
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Maximum Entropy Fundamentals [PDF]
Entropy, 2001 : In its modern formulation, the Maximum Entropy Principle was promoted by E.T. Jaynes, starting in the mid-fifties. The principle dictates that one should look for a distribution, consistent with available information, which maximizes the entropy ...
F. Topsøe, P. Harremoeës
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Dynamic Maximum Entropy Reduction [PDF]
Entropy, 2019 Any physical system can be regarded on different levels of description varying by how detailed the description is. We propose a method called Dynamic MaxEnt (DynMaxEnt) that provides a passage from the more detailed evolution equations to equations for ...
Václav Klika +3 more
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Maximum Entropy and Sufficiency [PDF]
AIP Conference Proceedings, 2016 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.
Harremoës, Peter
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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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Maximum Geometric Quantum Entropy [PDF]
EntropyAny given density matrix can be represented as an infinite number of ensembles of pure states. This leads to the natural question of how to uniquely select one out of the many, apparently equally-suitable, possibilities.
Fabio Anza, James P. Crutchfield
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On the Entropy and the Maximum Entropy Principle of Uncertain Variables [PDF]
Entropy, 2023 A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided.
Yujun Liu, Guanzhong Ma
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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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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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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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