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Tsallis entropy: how unique? [PDF]

Continuum Mechanics and Thermodynamics, 2004
It is shown how, among a class of generalized entropies, the Tsallis entropy can uniquely be identified by the principles of thermodynamics, the concept of stability and the axiomatic foundation.
openaire   +2 more sources

Tsallis Entropy, Escort Probability and the Incomplete Information Theory

Entropy, 2010
Non-extensive statistical mechanics appears as a powerful way to describe complex systems. Tsallis entropy, the main core of this theory has been remained as an unproven assumption. Many people have tried to derive the Tsallis entropy axiomatically. Here
Parvin Sadeghi, Ghassem Naeimi, Ali Mehri, Amir Hossein Darooneh   +3 more
doaj   +1 more source

Some Properties of Fractal Tsallis Entropy

Fractal and Fractional, 2023
We introduce fractal Tsallis entropy and show that it satisfies Shannon–Khinchin axioms. Analogously to Tsallis divergence (or Tsallis relative entropy, according to some authors), fractal Tsallis divergence is defined and some properties of it are ...
Vasile Preda, Răzvan-Cornel Sfetcu
doaj   +1 more source

A Quantitative Comparison between Shannon and Tsallis–Havrda–Charvat Entropies Applied to Cancer Outcome Prediction

Entropy, 2022
In this paper, we propose to quantitatively compare loss functions based on parameterized Tsallis–Havrda–Charvat entropy and classical Shannon entropy for the training of a deep network in the case of small datasets which are usually encountered in ...
Thibaud Brochet, Jérôme Lapuyade-Lahorgue, Alexandre Huat, Sébastien Thureau, David Pasquier, Isabelle Gardin, Romain Modzelewski, David Gibon, Juliette Thariat, Vincent Grégoire, Pierre Vera, Su Ruan   +11 more
doaj   +1 more source

Small Target Detection in Sea Clutter Background Based on Tsallis Entropy of Doppler Spectrum

Leida xuebao, 2019
According to the different concentration levels of Doppler spectrum between sea clutter and target, small target in sea clutter background can be detected using Shannon entropy.
CHEN Shichao, LUO Feng, HU Chong, NIE Xueya   +3 more
doaj   +1 more source

Information theoretical properties of Tsallis entropies [PDF]

, 2006
A chain rule and a subadditivity for the entropy of type $\beta$, which is one of the nonadditive entropies, were derived by Z.Dar\'oczy. In this paper, we study the further relations among Tsallis type entropies which are typical nonadditive entropies ...
Aczél J., Hardy G. H., Havrda J. H., Horibe Y., Rényi A., Rényi A., Shigeru Furuichi, Tsallis C.   +7 more
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Analyzing causal structures using Tsallis entropies [PDF]

Physical Review A, 2019
Understanding cause-effect relationships is a crucial part of the scientific process. As Bell's theorem shows, within a given causal structure, classical and quantum physics impose different constraints on the correlations that are realisable, a fundamental feature that has technological applications.
Vilasini, V, Colbeck, Roger Andrew
openaire   +5 more sources

Estimates for Tsallis relative operator entropy [PDF]

, 2017
We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru, Minculete, Nicuşor, Moradi, Hamid Reza   +2 more
core   +1 more source