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Maximum Entropy Principle

2020
The description of a physical system requires the knowledge of some information, for example the prediction of the motion of a point particle in classical mechanics requires the knowledge of its initial position and momentum besides, of course, the system of forces acting upon it. In the case of a great quantity of particles, i.e.
Vito Dario Camiola   +2 more
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Maximum Entropy Principles

1997
The concept of information can be successfully utilized for the adaptation of a probability distribution to empirical data. In order to proceed to the formulation of the corresponding principle, let us first recall the expression for the empirical probability density for the case when all the samples are distinct $$fe\left( x \right) = \frac{1}{N ...
Igor Grabec, Wolfgang Sachse
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The maximum entropy principle in information retrieval

Proceedings of the 9th annual international ACM SIGIR conference on Research and development in information retrieval - SIGIR '86, 1986
Applications, assumptions and properties of the maximum entropy principle are discussed. The maximum entropy principle integrates prior estimates of relevance with the observed distribution of term combinations. The result may be a reordering of the segments of a database, compared to a naive estimate. Numerical examples obtained by solution of the non-
Paul B. Kantor, Jung Jin Lee
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MAXIMUM ENTROPY PRINCIPLE FOR FUZZY VARIABLES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2007
The concept of fuzzy entropy is used to provide a quantitative measure of the uncertainty associated with every fuzzy variable. This paper proposes the maximum entropy principle for fuzzy variables, that is, out of all the membership functions satisfying given constraints, choose the one that has maximum entropy.
Xiang Li 0006, Baoding Liu
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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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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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MAXIMUM ENTROPY PRINCIPLE AND THE LOGISTIC MODEL

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1999
This paper proposes the use of the maximum entropy principle to construct a probability model under constraints for the analysis of dichotomous data using the odds ratio adjusted for covariates. It gives a new understanding of the now famous logistic model.
Raymond Leblanc, Stanley Shapiro
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The Maximum Entropy Principle

1989
In Section 1.1, we alluded to the principle that titles this chapter. The idea of this principle, as we said there, is to assign probabilities in such a way that the resulting distribution contains no more information than is inherent in the data. The first attempt to do this was by Laplace and was called the “Principle of Insufficient Reason.” This ...
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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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The maximum entropy principle: a tool to define new entropies

Reports on Mathematical Physics, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Forte, B., Hughes, W.
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