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Minimum uncertainty products from the principle of maximum entropy
Physical Review A, 1989Generalisation 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
1998Clausius 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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Principles of maximum entropy and maximum caliber in statistical physics
Reviews of Modern Physics, 2013The variational principles called maximum entropy (MaxEnt) and maximum caliber (MaxCal) are reviewed. MaxEnt originated in the statistical physics of Boltzmann and Gibbs, as a theoretical tool for predicting the equilibrium states of thermal systems. Later, entropy maximization was also applied to matters of information, signal transmission, and image ...
Steve Pressé +3 more
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Research on Principle and Application of Maximum Entropy
2020 Chinese Control And Decision Conference (CCDC), 2020Entropy 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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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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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, 1985Abstract 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), 2019The 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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Principle of maximum entropy and irreversible processes
Physics Reports, 1980Abstract More than twenty years have passed since E.T. Jaynes pioneered the information-theoretic approach to the foundations of statistical mechanics. In the intervening period numerous applications have been worked out and new insights developed into traditional problems.
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Numerical taxonomy and the principle of maximum entropy
Journal of Classification, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gyllenberg, Mats, Koski, Timo
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Estimation of State Probabilities Using the Maximum Entropy Principle
IBM Journal of Research and Development, 1980A simple method is derived for computing state probabilities of a system when the probabilities of certain aggregate states are known. The method is based on maximizing the system entropy. It is shown that the results obtained by the method satisfy certain assumptions on statistical independence between events.
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