Results 41 to 50 of about 11,294 (222)
Tsallis entropy on fractal sets
Journal of Taibah University for Science, 2021 In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy.
Alireza Khalili Golmankhaneh
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Deterministic Annealing Approach to Fuzzy C-Means Clustering Based on Entropy Maximization
Advances in Fuzzy Systems, 2011 This paper is dealing with the fuzzy clustering method which combines the deterministic annealing (DA) approach with an entropy, especially the Shannon entropy and the Tsallis entropy.
Makoto Yasuda
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Characterizations of generalized entropy functions by functional equations [PDF]
, 2010 We shall show that a two-parameter extended entropy function is characterized by a functional equation. As a corollary of this result, we obtain that the Tsallis entropy function is characterized by a functional equation, which is a different form used ...
Furuichi, Shigeru
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Conditional Tsallis Entropy [PDF]
Cybernetics and Information Technologies, 2013 Abstract In this paper, the conditional Tsallis entropy is defined on the basis of the conditional Renyi entropy. Regarding the fact that Renyi entropy is the monotonically increasing function of Tsallis entropy, a relationship has also been presented between the joint Tsallis entropy and conditional Tsallis entropy.
Sanei Tabass Manije +2 more
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A Two-Parameter Fractional Tsallis Decision Tree
Entropy, 2022 Decision trees are decision support data mining tools that create, as the name suggests, a tree-like model. The classical C4.5 decision tree, based on the Shannon entropy, is a simple algorithm to calculate the gain ratio and then split the attributes ...
Jazmín S. De la Cruz-García +2 more
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Tsallis entropy of complex networks
CoRR, 2015 How complex of the complex networks has attracted many researchers to explore it. The entropy is an useful method to describe the degree of the $complex$ of the complex networks. In this paper, a new method which is based on the Tsallis entropy is proposed to describe the $complex$ of the complex networks.
Qi Zhang 0022 +3 more
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Projective Power Entropy and Maximum Tsallis Entropy Distributions [PDF]
Entropy, 2011 We discuss a one-parameter family of generalized cross entropy between two distributions with the power index, called the projective power entropy. The cross entropy is essentially reduced to the Tsallis entropy if two distributions are taken to be equal.
Shinto Eguchi, Osamu Komori, Shogo Kato
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Diffusive mixing and Tsallis entropy
Physical Review E, 2015 Brownian motion, the classical diffusive process, maximizes the Boltzmann-Gibbs entropy. The Tsallis q entropy, which is nonadditive, was developed as an alternative to the classical entropy for systems which are nonergodic. A generalization of Brownian motion is provided that maximizes the Tsallis entropy rather than the Boltzmann-Gibbs entropy.
Daniel, O'Malley +2 more
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Temperature of nonextensive systems: Tsallis entropy as Clausius entropy [PDF]
Physica A: Statistical Mechanics and its Applications, 2006 The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of the Lagrange multiplier, $beta$, associated with the constraint on the internal energy is regarded as the ...
Sumiyoshi Abe
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A Generalized Measure of Cumulative Residual Entropy
Entropy, 2022 In this work, we introduce a generalized measure of cumulative residual entropy and study its properties. We show that several existing measures of entropy, such as cumulative residual entropy, weighted cumulative residual entropy and cumulative residual
Sudheesh Kumar Kattumannil +2 more
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