Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model [PDF]
Applied Mathematics Letters, 2021 In this study we apply the maximum entropy principle to derive the properly scaled velocity distribution function of Boltzmann equations for mixtures, which leads to a non-isothermal Maxwell-Stefan diffusion model. We also analyze the entropy balance law
B. Anwasia, Srboljub Simi'c
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The maximum entropy principle and volumetric properties of Orlicz balls [PDF]
, 2020 We study the precise asymptotic volume of balls in Orlicz spaces and show that the volume of the intersection of two Orlicz balls undergoes a phase transition when the dimension of the ambient space tends to infinity.
Z. Kabluchko, J. Prochno
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Maximum Entropy Principle in Statistical Inference: Case for Non-Shannonian Entropies. [PDF]
Physical Review Letters, 2018 In this Letter, we show that the Shore-Johnson axioms for the maximum entropy principle in statistical estimation theory account for a considerably wider class of entropic functional than previously thought.
P. Jizba, J. Korbel
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Dynamic metabolic resource allocation based on the maximum entropy principle [PDF]
Journal of Mathematical Biology, 2019 Organisms have evolved a variety of mechanisms to cope with the unpredictability of environmental conditions, and yet mainstream models of metabolic regulation are typically based on strict optimality principles that do not account for uncertainty.
David S. Tourigny
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Maximum entropy principle in recurrence plot analysis on stochastic and chaotic systems.
Chaos, 2020 The recurrence analysis of dynamic systems has been studied since Poincaré's seminal work. Since then, several approaches have been developed to study recurrence properties in nonlinear dynamical systems.
T. L. Prado +7 more
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Maximum Entropy Principle in Image Restoration
Advances in Electrical and Computer Engineering, 2018 Many imaging systems are faced with the problem of estimating a true image from a degraded dataset. In such systems, the image degradation is translated into a convolution with a Point Spread Function (PSF) and addition of noise.
PETROVICI, M.-A., DAMIAN, C., COLTUC, D.
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Maximum entropy production principle in forest dynamics modelling [PDF]
BIO Web of ConferencesForest ecosystems are vivid representatives of open non-equilibrium systems. The existence of extreme principles in “ecological thermodynamics” is a subject of discussion in the works of many physicists, ecologists and researchers dealing with non ...
Lisitsyn Viktor +3 more
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Three faces of entropy for complex systems: Information, thermodynamics, and the maximum entropy principle. [PDF]
Physical Review E, 2017 There are at least three distinct ways to conceptualize entropy: entropy as an extensive thermodynamic quantity of physical systems (Clausius, Boltzmann, Gibbs), entropy as a measure for information production of ergodic sources (Shannon), and entropy as
S. Thurner +2 more
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Lagrangian submanifolds generated by the Maximum Entropy principle
Entropy, 2005 We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints.
Marco Favretti
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The Maximum Entropy principle and the nature of fractals [PDF]
, 1998 We apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content of information in those patterns.
J Wagensberg +4 more
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