Entropy minimization within the maximum entropy approach

A procedure of the minimization of the maximum entropy with respect to an external driving force μ, is proposed. In application to coupled dynamic-stochastic systems such an approach allows one to reduce the uncertainty in estimating the dynamic counterpart (a probe or a model) parameters. In its tu...

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Bibliographic Details
Published in:Journal of physics. Conference series 2015-04, Vol.604 (1), p.12017
Main Authors: Vakarin, E V, Badiali, J P
Format: Article
Language:English
Subjects:
Entropy
Maximum entropy
Optimization
Physics
Stochastic systems
Uncertainty
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Summary:A procedure of the minimization of the maximum entropy with respect to an external driving force μ, is proposed. In application to coupled dynamic-stochastic systems such an approach allows one to reduce the uncertainty in estimating the dynamic counterpart (a probe or a model) parameters. In its turn this permits to estimate an optimal driving path giving a maximal information on the probability distribution f(x|μ) of the stochastic counterpart with a given probe model θ(μ|x). It is found that the functional form of the model should be similar to the observed measured one θ(μ), while the minimum uncertainty is reached when the distribution becomes independent of the driving μ.
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/604/1/012017