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A Characterization of Entropy in Terms of Information Loss
Entropy, 2011 There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization.
Tom Leinster, John C. Baez, Tobias Fritz
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Estimating Entropy of Data Streams Using Compressed Counting [PDF]
, 2009 The Shannon entropy is a widely used summary statistic, for example, network traffic measurement, anomaly detection, neural computations, spike trains, etc. This study focuses on estimating Shannon entropy of data streams.
Li, Ping
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Temperature of nonextensive systems: Tsallis entropy as Clausius entropy [PDF]
Physica A: Statistical Mechanics and its Applications, 2006 The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of the Lagrange multiplier, $beta$, associated with the constraint on the internal energy is regarded as the ...
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AIMS MathematicsShannon differential entropy is extensively applied in the literature as a measure of dispersion or uncertainty. Nonetheless, there are other measurements, such as the cumulative residual Tsallis entropy (CRTE), that reveal interesting effects in several
I. A. Husseiny +3 more
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Inflation based on the Tsallis entropy
The European Physical Journal CAbstractWe study the inflationary scenario in the Tsallis entropy-based cosmology. The Friedmann equations in this setup can be derived by using the first law of thermodynamics. To derive the relations of the power spectra of the scalar and tensor perturbations in this setup, we reconstruct an f(R) gravity model which is thermodynamically equivalent to
Teimoori, Zeinab +2 more
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Advances in Fuzzy Systems, 2015 Tsallis entropy is a q-parameter extension of Shannon entropy. By extremizing the Tsallis entropy within the framework of fuzzy c-means clustering (FCM), a membership function similar to the statistical mechanical distribution function is obtained.
Makoto Yasuda
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Source coding with Tsallis entropy
Electronics Letters, 2011 An extension is presented to the source coding theorem traditionally based on the Shannon entropy and later generalised to the Renyi entropy. Another possible generalisation is demonstrated, with a lower bound realised by the Tsallis entropy, when the performance is measured by the generalised average coding length which is exhibited, and with the ...
Chapeau-Blondeau, François +2 more
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Functional background of the Tsallis entropy: 'coarse-grained' systems and 'kappa' distribution functions [PDF]
Nonlinear Processes in Geophysics, 2000 The concept of the generalized entropy is analyzed, with the particular attention to the definition postulated by Tsallis [J. Stat. Phys. 52, 479 (1988)].
A. V. Milovanov, L. M. Zelenyi
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A Simple Model for the Entropy of a System With Interacting Particles
IEEE Access, 2019 We present a simple model to calculate the system entropy of interacting particles where the interaction is modeled by unusual collisions concerning initial and final states.
Benjamin Lopez-Carrera +1 more
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, 2014 Quasi-power law ensembles are discussed from the perspective of nonextensive Tsallis distributions characterized by a nonextensive parameter $q$. A number of possible sources of such distributions are presented in more detail.
Wilk, Grzegorz, Włodarczyk, Zbigniew
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