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Adaptive Applications of Maximum Entropy Principle

2020
The probability distribution of a system can be adaptively derived using the maximum entropy principle subject to its information set in terms of probabilistic moments. The obtained probability distribution characterizes the wide range of exponential family of distributions when one maximizes Shannon entropy.
Amit Kumar Singh   +3 more
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The principle of the maximum entropy method

High Pressure Research, 1996
Abstract The theoretical background of the maximum entropy method (MEM) when it is applied to restore the electron or nuclear densities from diffraction data is described. In MEM, the concept of “entropy” is introduced to deal with any incompleteness in an observation in a proper way.
Makoto Sakata, Masaki Takata
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Principle of Maximum Entropy and Reduced Dynamics

Journal of Statistical Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimum uncertainty products from the principle of maximum entropy

Physical Review A, 1989
Generalisation du principe d'entropie maximum pour obtenir plusieurs extrema possibles du produit d'incertitude correspondant aux produits generalises d'incertitude minimum discutes recemment par Lahiri et Menon. Ces travaux s'appliquent a des etats mixtes et conduisent a un nouveau algorithme de recuit pour obtenir les extrema de la fonctionnelle d ...
, Rajagopal, , Teitler
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Entropy and Principle of Maximum Entropy

1998
Clausius coined the term ‘entropy’ from the Greek meaning transformation. Thus, entropy originated in physics and occupies an exceptional position among physical quantities. It does not appear in the fundamental equations of motion. Its nature is, rather, a statistical or probabilistic one, for it can be interpreted as a measure of the amount of chaos ...
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Research on Principle and Application of Maximum Entropy

2020 Chinese Control And Decision Conference (CCDC), 2020
Entropy is a measure of the degree of chaos in the system which comes from physics. Then scientists proposed information entropy form a mathematical perspective. Later, it discovered the relationship between entropy and information entropy. This broke down the barriers between disciplines and derived many related conceptual principles.
Boya Wu, Junyan Yi, Qiaoling Yong
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The relevance of maximum entropy production principle and maximum information entropy principle in biology

2013
Prigogine and Wiame noticed correctly that biological processes are irreversible and as such should be described within irreversible thermodynamics. They took the entropy production as the basic quantity for the description of biological processes. In contrast to Prigogine.
Juretić, Davor, Županović, Paško
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Structural fragility and principle of maximum entropy

Structural Safety, 1985
Abstract The concept of structural fragility with application to seismic probabilistic risk assessment is considered. Different formats of structural fragility representation are discussed. The principle of maximum entropy for a fragility distribution is formulated.
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Duality of the Principle of the Entropy Maximum

2019 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2019
The compositional distribution law of a random variable is obtained, which ensures a minimum of dispersion at a given entropy, as well as the condition that the distribution density at the boundaries of the interval of existence is zero. It is shown that this law complies with the known composition, which provides the maximum entropy with restrictions ...
V. Kopp, A. Balakin, N Balakina
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Numerical taxonomy and the principle of maximum entropy

Journal of Classification, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gyllenberg, Mats, Koski, Timo
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