On computation of information via variation and inequalities for the entropy function

On computation of information via variation and inequalities for the entropy function This paper supplements the author’s paper [1]. We obtain an explicit formula which in a special case allows us to calculate the maximum of mutual information of several random variables via the variational distance between the joint distribution of these random variables and the product of their marginal distributions. We establish two new inequalities for the binary entropy function, which are related to the problem considered here. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On computation of information via variation and inequalities for the entropy function

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Publisher
Springer Journals
Copyright
Copyright © 2010 by Pleiades Publishing, Ltd.
Subject
Engineering; Systems Theory, Control; Information Storage and Retrieval; Electrical Engineering; Communications Engineering, Networks
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S003294601002002X
Publisher site
See Article on Publisher Site

Abstract

This paper supplements the author’s paper [1]. We obtain an explicit formula which in a special case allows us to calculate the maximum of mutual information of several random variables via the variational distance between the joint distribution of these random variables and the product of their marginal distributions. We establish two new inequalities for the binary entropy function, which are related to the problem considered here.

Journal

Problems of Information TransmissionSpringer Journals

Published: Jul 23, 2010

References

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