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» An axiomatization of partition entropy

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TIT
2002

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An axiomatization of partition entropy

13 years 4 months ago

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Abstract-- The aim of this paper is to present an axiomatization of a generalization of Shannon's entropy starting from partitions of finite sets. The proposed axiomatization ...

Dan A. Simovici, Szymon Jaroszewicz

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ISMVL
2007
IEEE

100views Hardware» more ISMVL 2007»

On the Axiomatization of Generalized Entropic Metrics

13 years 11 months ago

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Starting from an axiomatization of a generalization of Shannon entropy we introduce a set of axioms for a parametric family of distances over sets of partitions of ﬁnite sets. T...

Dan A. Simovici

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WCE
2007

137views Electrical And Computer Engi...» more WCE 2007»

A mathematical review of the generalized entropies and their matrix trace inequalities

13 years 5 months ago

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Abstract– We review the properties of the generalized entropies in our previous papers in the following way. (1)A generalized Fannes’ inequality is shown by the axiomatically c...

Shigeru Furuichi

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ISMVL
2005
IEEE

114views Hardware» more ISMVL 2005»

An Abstract Axiomatization of the Notion of Entropy

13 years 10 months ago

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Ivo G. Rosenberg, Dan A. Simovici

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