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» An Abstract Axiomatization of the Notion of Entropy
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ISMVL
2005
IEEE
114views Hardware» more  ISMVL 2005»
13 years 10 months ago
An Abstract Axiomatization of the Notion of Entropy
Ivo G. Rosenberg, Dan A. Simovici
TIT
2002
96views more  TIT 2002»
13 years 4 months ago
An axiomatization of partition entropy
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
WCE
2007
13 years 6 months ago
A mathematical review of the generalized entropies and their matrix trace inequalities
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
CIE
2011
Springer
12 years 5 months ago
Towards an Axiomatic System for Kolmogorov Complexity
Abstract. In [She82], it is shown that four of its basic functional properties are enough to characterize plain Kolmogorov complexity, hence obtaining an axiomatic characterization...
Antoine Taveneaux
JUCS
2007
99views more  JUCS 2007»
13 years 5 months ago
Metric-Entropy Pairs on Lattices
Abstract: We introduce the notion of ∧- and ∨-pairs of functions on lattices as an abstraction of the notions of metric and its related entropy for probability distributions. T...
Dan A. Simovici