Results 61 to 70 of about 586,238 (144)
TSALLIS ENTROPY BASED SEIZURE DETECTION [PDF]
This paper presents EEG signal analysis using Tsallis entropy and then it will make available for comparison with any another method along with KNN classification. Electroencephalogram (EEG) remains the most immediate, easy and rich source of information
MR.S.S.PAWAR +1 more
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Weak chaos from Tsallis entropy
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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Quantum conditional relative entropy and quasi-factorization of the relative entropy [PDF]
The existence of a positive log-Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation.
Pérez García, David +3 more
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Tsallis Entropy from Maximization of Entropy and the Condition of Stability
In a previous note (1), we argued that in the Maxwell-Boltzmann (Shannon) case, one may either maximize Shannon’s entropy: - Sum over i p(ei) ln(p(ei)) subject to the two a priori constraints: Sum over i p(ei)=1 and Sum over i ei p(ei) = Etotal or use reaction balance: e1+e2=e3+e4 and p(e1)p(e2)=p(e3)p(e4).
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Tsallis Entropy from Maximization of Entropy and the Condition of Stability Part 2
In Part I, we argued that F(p(ei/T)) = -ei/T, where p(ei/T) is an unnormalized probability. We suggested that one may find Tsallis entropy from p(ei) power q dF/dp(ei) =1 ((1)), where F= lnq(p(ei)) and Tsallis entropy is: Sum over i p(ei) power q lnq(p(ei)). We argued that this was due to stability considerations.
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Tsallis Entropy from Maximization of Entropy and the Condition of Stability Part 3
In the note, we argue that statistical mechanics, at least with respect to Boltzmann/Shannon entropy and Tsallis entropy, may be formulated strictly through information related to -ei/T considerations. In fact, as argued in Part 2, there is no need for any notion of maximization of entropy subject to constraints or even reaction balance in the case of
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Tsallis Entropy, Escort Probability and the Incomplete Information Theory
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 +3 more
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Is the Tsallis entropy stable?
The question of whether the Tsallis entropy is Lesche-stable is revisited. It is argued that when physical averages are computed with the escort probabilities, the correct application of the concept of Lesche-stability requires use of the escort ...
J. P. Boon +5 more
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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
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Volatility models with innovations from new maximum entropy densities at work [PDF]
Generalized autoregressive conditional heteroskedasticity (GARCH) processes have become very popular as models for financial return data because they are able to capture volatility clustering as well as leptokurtic unconditional distributions which ...
Herrmann, Klaus +2 more
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