Results 81 to 90 of about 488,120 (194)
Non-parametric Estimation of Tsallis Entropy and Residual Tsallis Entropy Under $$\rho $$-Mixing Dependent Data [PDF]
In 1988, Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, and it is non-extensive. In the present work, we propose non-parametric kernel type estimators for the Tsallis entropy and the residual Tsallis ...
Maya, R. +4 more
core +1 more source
Generalized Shannon inequalities based on Tsallis relative operator entropy [PDF]
, 2005 Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Appl.
Furuichi, Shigeru +2 more
core +3 more sources
Entropy, 2011 Over the last couple of decades nonextensive Tsallis entropy has shown remarkable applicability to describe nonequilibrium physical systems with large variability and multifractal structure.
Konstantinos Eftaxias +5 more
doaj +1 more source
Generalization of the partitioning of shannon diversity. [PDF]
PLoS ONE, 2014 Traditional measures of diversity, namely the number of species as well as Simpson's and Shannon's indices, are particular cases of Tsallis entropy. Entropy decomposition, i.e. decomposing gamma entropy into alpha and beta components, has been previously
Eric Marcon +4 more
doaj +1 more source
Fundamental properties of Tsallis relative entropy [PDF]
Journal of Mathematical Physics, 2004 Fundamental properties for the Tsallis relative entropy in both classical and quantum systems are studied. As one of our main results, we give the parametric extension of the trace inequality between the quantum relative entropy and the minus of the trace of the relative operator entropy given by Hiai and Petz.
Furuichi, S., Yanagi, K., Kuriyama, K.
openaire +3 more sources
Channel Capacity of Coding System on Tsallis Entropy and q-Statistics
Entropy, 2017 The field of information science has greatly developed, and applications in various fields have emerged. In this paper, we evaluated the coding system in the theory of Tsallis entropy for transmission of messages and aimed to formulate the channel ...
Tatsuaki Tsuruyama
doaj +1 more source
Growth of perturbations in Tsallis and Barrow cosmology
European Physical Journal C: Particles and Fields, 2022 We report the effects of entropic corrections to the Friedmann equations on the growth of perturbations in the early stages of the universe. We consider two types of corrections to the area law of entropy, known as Tsallis and Barrow entropy. Using these
Ahmad Sheykhi, Bita Farsi
doaj +1 more source
Extension of Yager's negation of a probability distribution based on Tsallis entropy
International Journal of Intelligent Systems, 2019 The negation of probability distribution becomes an important topic since some problems are burdensome to deal with directly. Inspired by Yager's negation of probability distribution, an extension model to measure the negation of a probability ...
J. Zhang +3 more
semanticscholar +1 more source
Generalized Tsallis Entropy Reinforcement Learning and Its Application to Soft Mobile Robots
Robotics: Science and Systems Conference, 2020 —In this paper, we present a new class of entropy-regularized Markov decision processes (MDPs), which will be referred to as Tsallis MDPs. that inherently generalize well-known maximum entropy reinforcement learning (RL) by introducing an additional real-
Kyungjae Lee +7 more
semanticscholar +1 more source
Preservers for the Tsallis Entropy of Convex Combinations of Density Operators
Advances in Mathematical Physics, 2018 Let H be a complex separable Hilbert space; we first characterize the unitary equivalence of two density operators by use of Tsallis entropy and then obtain the form of a surjective map on density operators preserving Tsallis entropy of convex ...
Xiaochun Fang, Yihui Lao
doaj +1 more source