Results 21 to 30 of about 9,970 (189)
Tsallis Relative Entropy and Anomalous Diffusion [PDF]
Entropy, 2012 In this paper we utilize the Tsallis relative entropy, a generalization of the Kullback–Leibler entropy in the frame work of non-extensive thermodynamics to analyze the properties of anomalous diffusion processes.
Karl Heinz Hoffmann +2 more
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On Cumulative Tsallis Entropies
Acta Applicandae Mathematicae, 2023 We investigate the cumulative Tsallis entropy, an information measure recently introduced as a cumulative version of the classical Tsallis differential entropy, which is itself a generalization of the Boltzmann-Gibbs statistics. This functional is here considered as a perturbation of the expected mean residual life via some power weight function.
Simon, Thomas, Dulac, Guillaume
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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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Symbolic sequences and Tsallis entropy [PDF]
Brazilian Journal of Physics, 2009 We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated $l$ times, with the probability distribution $p(l)\propto 1/ l^ $.
Ribeiro, H. V. +4 more
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Tsallis Entropy for Geometry Simplification [PDF]
Entropy, 2011 This paper presents a study and a comparison of the use of different information-theoretic measures for polygonal mesh simplification. Generalized measures from Information Theory such as Havrda–Charvát–Tsallis entropy and mutual information have been applied. These measures have been used in the error metric of a surfaces implification algorithm.
Castelló, Pascual +4 more
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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 S. Mohamed +3 more
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Tsallis’ entropy maximization procedure revisited [PDF]
Physica A: Statistical Mechanics and its Applications, 2000 The proper way of averaging is an important question with regards to Tsallis' Thermostatistics. Three different procedures have been thus far employed in the pertinent literature. The third one, i.e., the Tsallis-Mendes-Plastino (TMP) normalization procedure, exhibits clear advantages with respect to earlier ones.
Martinez, S. +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, Shogo Kato, Osamu Komori
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Tsallis entropy composition and the Heisenberg group [PDF]
, 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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On a new generalized Tsallis relative operator entropy
Mathematics in Applied Sciences and Engineering, 2023 In this paper, we present a generalization of Tsallis relative operator entropy defined for positive operators and we investigate some related properties.
Lahcen Tarik +2 more
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