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On the Entropy and the Maximum Entropy Principle of Uncertain Variables
Entropy, 2023 A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided.
Yujun Liu, Guanzhong Ma
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Remarks on the Maximum Entropy Principle with Application to the Maximum Entropy Theory of Ecology [PDF]
Entropy, 2017 In the first part of the paper we work out the consequences of the fact that Jaynes’ Maximum Entropy Principle, when translated in mathematical terms, is a constrained extremum problem for an entropy function H ( p ) expressing the uncertainty ...
Marco Favretti
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Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle
Entropy, 2021 The maximum entropy principle consists of two steps: The first step is to find the distribution which maximizes entropy under given constraints. The second step is to calculate the corresponding thermodynamic quantities.
Jan Korbel
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Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy [PDF]
IEEE Transactions on Information Theory, 1980 Jaynes's principle of maximum entropy and Kullbacks principle of minimum cross-entropy (minimum directed divergence) are shown to be uniquely correct methods for inductive inference when new information is given in the form of expected values. Previous justifications use intuitive arguments and rely on the properties of entropy and cross-entropy as ...
J Shore
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The restrictions of the maximum entropy production principle [PDF]
Physica A: Statistical Mechanics and Its Applications, 2014 We tried to explain our point of view on this principle and answer a number of critical questions in this comment. It is the first time we have clearly presented all the existing restrictions of MEPP application and briefly explained them; this will help to avoid misunderstandings connected with its use.
Martyushev, L. M., Seleznev, V. D.
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A Comparison of the Maximum Entropy Principle Across Biological Spatial Scales
Entropy, 2019 Despite their differences, biological systems at different spatial scales tend to exhibit common organizational patterns. Unfortunately, these commonalities are often hard to grasp due to the highly specialized nature of modern science and the parcelled ...
Rodrigo Cofré +3 more
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Utility Function from Maximum Entropy Principle [PDF]
Entropy, 2006 Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function.
Amir H. Darooneh
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The Latent Maximum Entropy Principle [PDF]
ACM Transactions on Knowledge Discovery from Data, 2012 We present an extension to Jaynes’ maximum entropy principle that incorporates latent variables. The principle oflatent maximum entropywe propose is different from both Jaynes’ maximum entropy principle and maximum likelihood estimation, but can yield better estimates in the presence of hidden variables and limited training data.
Wang, Shaojun +2 more
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Causal versions of maximum entropy and principle of insufficient reason
Journal of Causal Inference, 2021 The principle of insufficient reason (PIR) assigns equal probabilities to each alternative of a random experiment whenever there is no reason to prefer one over the other.
Janzing Dominik
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Generalization of the maximum entropy principle for curved statistical manifolds
Physical Review Research, 2021 The maximum entropy principle (MEP) is one of the most prominent methods to investigate and model complex systems. Despite its popularity, the standard form of the MEP can only generate Boltzmann-Gibbs distributions, which are ill-suited for many ...
Pablo A. Morales, Fernando E. Rosas
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