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115 395 (0,417s)

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On generalized entropies, Bayesian decisions and statistical diversity

Generalized entropies are introduced as maximal generalized informations achieved by a direct observation of data sources. Prominent examples are the Shannon and quadratic entropies. Their mutual anisotony and rela...

BD - Teorie informace

  • 2007
  • Jx
Result

Generalized Entropies: A Fancy Misconception Or Some New Physical Insight?

of "generalized entropies" in "nonextensive statistical thermodynamics" by Tsallis et al. Our for these"generalized entropies" are incorrect. Consequently, rather than bringing some principally new physical insigh...

BD - Teorie informace

  • 2004
  • D
Result

Generalized statistics: yet another generalization

We provide a unifying axiomatics for Renyi's entropy and non-extensive entropy of Tsallis. It is shown that the resulting entropy coincides with Csiszar's measure of directed divergence known from communication theory....

BE - Teoretická fyzika

  • 2004
  • Jx
Result

On relations between informations, entropies and Bayesian decisions

A class of power entropies is introduced which are concave functions of distributions for positive powers and convex for negative powers. It is shown that the maximal generalized informations are often convex power entropies

BD - Teorie informace

  • 2006
  • D
Result

Fractal Dimension Estimation in Diagnosing Alzheimer's Disase

We used generalized definition of entropy to evaluate Hartley, Shannon, and correlastion entropies. Th general method was used for Alzheimer's diseas recognition....

JD - Využití počítačů, robotika a její aplikace

  • 2013
  • Jx
Result

Entropy of fractal systems

in an E-dimensional space. The Rényi entropy and generalized fractal dimensionThe Kolmogorov entropy is an important measure which describes the degree of the phase point on the attractor. Numerically, the Kolmogorov e...

CF - Fyzikální chemie a teoretická chemie

  • 2012
  • Jx
Result

On the Relation between Generalized Entropy and the Bayes Decision Error

We deal with the relation between generalized entropies (f-entropies and the lower bound for the Bayes error under given entropy. It can be applied to any strictly concave f-entropy and used to evaluate it...

BB - Aplikovaná statistika, operační výzkum

  • 2010
  • Jx
Result

Entropy of fractal systems

in an E-dimensional space. The Rényi entropy and generalized fractal dimensionThe Kolmogorov entropy is an important measure which describes the degree of the phase point on the attractor. Numerically, the Kolmogorov e...

CF - Fyzikální chemie a teoretická chemie

  • 2013
  • Jx
  • Link
Result

Conditional Entropy of DNA

the aim of our paper is make survey of conditional entropy of DNA and compare it to conditional entropy of human languages. We have not been able to prove the hypothesis that conditional entropy of human languages and DNA a...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
  • D
  • Link
Result

DERIVATION OF ENTROPY PRODUCTION IN A FLUID FLOW IN A GENERAL CURVILINEAR COORDINATE SYSTEM

The paper deals with the derivation of the entropy production in the fluid flow performed in a general curvilinear coordinate system. The derivation of the entropy, momentum, and energy. A brief description of the different...

Thermodynamics

  • 2023
  • JSC
  • Link
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