Results 11 to 20 of about 11,294 (222)
On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy [PDF]
IEEE Transactions on Information Theory, 2005 The uniqueness theorem for Tsallis entropy was presented in {\it H.Suyari, IEEE Trans. Inform. Theory, Vol.50, pp.1783-1787 (2004)} by introducing the generalized Shannon-Khinchin's axiom.
Furuichi, Shigeru
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Weak chaos from Tsallis entropy [PDF]
QScience Connect, 2012 We present a geometric, model-independent, argument that aims to explain why the Tsallis entropy describes systems exhibiting “weak chaos”, namely systems whose underlying dynamics has vanishing largest Lyapunov exponent.
Nikos Kalogeropoulos
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On the Exact Variance of Tsallis Entanglement Entropy in a Random Pure State
Entropy, 2019 The Tsallis entropy is a useful one-parameter generalization to the standard von Neumann entropy in quantum information theory. In this work, we study the variance of the Tsallis entropy of bipartite quantum systems in a random pure state.
Lu Wei
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Generalized entropies and corresponding holographic dark energy models
European Physical Journal C: Particles and Fields, 2020 Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of black holes is achieved, a result in full agreement with a recent study (Mejrhit and Ennadifi in Phys Lett B 794:24, 2019). In addition, employing Kaniadakis
H. Moradpour +2 more
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Tsallis Entropy and Generalized Shannon Additivity [PDF]
Axioms, 2017 The Tsallis entropy given for a positive parameter α can be considered as a generalization of the classical Shannon entropy. For the latter, corresponding to α = 1 , there exist many axiomatic characterizations. One of them based on the well-
Sonja Jäckle, Karsten Keller
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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
Amir Hossein Darooneh, Ali Mehri
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Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings
Mathematics, 2022 The Tsallis entropy is an extension of the Shannon entropy and is used extensively in physics. The cumulative residual Tsallis entropy, which is a generalization of the Tsallis entropy, plays an important role in the measurement uncertainty of random ...
Mohamed Said Mohamed +2 more
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A Quantitative Comparison between Shannon and Tsallis–Havrda–Charvat Entropies Applied to Cancer Outcome Prediction [PDF]
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 +11 more
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Special Issue: Tsallis Entropy [PDF]
Entropy, 2012 One of the crucial properties of the Boltzmann-Gibbs entropy in the context of classical thermodynamics is extensivity, namely proportionality with the number of elements of the system.
Anastasios Anastasiadis
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Tsallis entropy composition and the Heisenberg group [PDF]
International Journal of Geometric Methods in Modern Physics, 2013 We present an embedding of the Tsallis entropy into the 3-dimensional Heisenberg group, in order to understand the meaning of generalized independence as encoded in the Tsallis entropy composition property.
Kalogeropoulos, Nikos
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