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Entropy of the Mixture of Sources and Entropy Dimension

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2012Embargo end date: 01 Jan 2011Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 58, pages 2,719-2,728 (issn: 0018-9448, eissn: 1557-9654, Copyright policy )
Authors: Śmieja, Marek; Tabor, Jacek;

doi: 10.1109/tit.2011.2181820 , 10.48550/arxiv.1110.6027

arXiv: 1110.6027

Entropy of the Mixture of Sources and Entropy Dimension

Abstract

We investigate the problem of the entropy of the mixture of sources. There is given an estimation of the entropy and entropy dimension of convex combination of measures. The proof is based on our alternative definition of the entropy based on measures instead of partitions.

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Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT)

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
Green
bronze