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We consider functional inequalities for the Tsallis entropy, a one‐parameter extension of the Boltzmann–Shannon entropy. For the Boltzmann–Shannon entropy, the logarithmic Sobolev inequality is known as an upper bound estimate by the Fisher information ...
Takeshi Suguro
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Threshold selection based on fuzzy Tsallis entropy and differential evolution algorithm
, 2011 Threshold selection based on fuzzy Tsallis entropy and differential evolution ...
Y Guo (82682) +3 more
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Tsallis エントロピー（Tsallis entropy）
Journal of Japan Society for Fuzzy Theory and Intelligent Informatics, 2008 openaire +1 more source
Tsallis relative operator entropy of negative order
In this paper, we discuss the Tsallis relative entropy with negative parameters for positive semidefinite matrices. Moreover, we give a simple proof that the Karcher mean for positive semidefinite matrices is the unique positive semidefinite solution of ...
瀬尾, 祐貴 +5 more
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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. In the present paper, this result is generalized and simplified as follows: {\it Generalization}: The uniqueness theorem for Tsallis relative entropy is shown by ...
S Furuichi
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Tsallis Entropy Based Labelling
2020 19th IEEE International Conference on Machine Learning and Applications (ICMLA), 2020In the field of supervised classification, the quality of training data is an essential aspect of accurate learning, along with the selection of a learning algorithm or parameters optimisation. To improve the quality of training data, it is necessary to reflect an annotator’s idea on to which class any given instance belongs in the form of a label as ...
Kentaro Goto, Masato Uchida
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Some properties of Tsallis and Tsallis–Lin quantum relative entropies
Physica A: Statistical Mechanics and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jelodar, Reza Asgharzadeh +2 more
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The Tsallis Entropy as a Social Entropy
2019 IEEE 1st Sustainable Cities Latin America Conference (SCLA), 2019We analyze social disorder using the Tsallis entropy that is characterized by having the pseudo-additivity property and being this used to feature certain dynamical systems in nature. By taking advantage of this property, we apply this entropy to social systems that are showing chaotic behavior due to the conjugation of one or more anomalies.
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Uniform Estimates on the Tsallis Entropies
Letters in Mathematical Physics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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