Results 41 to 50 of about 9,970 (189)
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
core +3 more sources
Tsallis Entropy Theory for Modeling in Water Engineering: A Review
Entropy, 2017 Water engineering is an amalgam of engineering (e.g., hydraulics, hydrology, irrigation, ecosystems, environment, water resources) and non-engineering (e.g., social, economic, political) aspects that are needed for planning, designing and managing water ...
Vijay P. Singh +2 more
doaj +1 more source
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
openaire +3 more sources
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
doaj +1 more source
Uncertainty quantification based on residual Tsallis entropy of order statistics
AIMS MathematicsIn this study, we focused on investigating the properties of residual Tsallis entropy for order statistics. The reliability of engineering systems is highly influenced by order statistics, for example, when modeling the lifetime of a series system and ...
Mansour Shrahili, Mohamed Kayid
doaj +1 more source
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
doaj +1 more source
, 2010 We give a new proof of the theorems on the maximum entropy principle in Tsallis statistics. That is, we show that the $q$-canonical distribution attains the maximum value of the Tsallis entropy, subject to the constraint on the $q$-expectation value and ...
Johnson O., Shigeru Furuichi, Tsallis C.
core +1 more source
Tsallis entropy and hyperbolicity [PDF]
AIP Conference Proceedings, 2013 5 pages, No figures. Standard LaTeX2e. Contributed talk to ICNAAM 2013, Rhodes, Greece 21-27 September 2013.
openaire +2 more sources
Tsallis and Kaniadakis statistics from a point of view of the holographic equipartition law
, 2018 In this work, we have illustrated the difference between both Tsallis and Kaniadakis entropies through cosmological models obtained from the formalism proposed by Padmanabhan, which is called holographic equipartition law.
Abreu, Everton M. C. +3 more
core +1 more source
Tsallis Mutual Information for Document Classification
Entropy, 2011 Mutual information is one of the mostly used measures for evaluating image similarity. In this paper, we investigate the application of three different Tsallis-based generalizations of mutual information to analyze the similarity between scanned ...
Màrius Vila +3 more
doaj +1 more source