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On Entropy, Information Inequalities, and Groups

  • Raymond W. Yeung
Chapter
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 712)

Abstract

There has been significant progress in the study of entropy functions and information inequalities in the past 10 years. The set-theoretic structure of Shannon’s information measures has been established, and machineproving of most information inequalities known to date (Shannon-type inequalities) has become possible. Most importantly, the recent discovery of a few so-called non-Shannon-type inequalities reveals the existence of information inequalities which cannot be proved by techniques known during the first 50 years of information theory. In this expository paper, the essence of this fundamental subject is explained, a number of applications of the results are given, and their implications in information theory, probability theory, and group theory are discussed.

Keywords

Mutual Information Conditional Independence Markov Random Field Network Security Entropy Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Raymond W. Yeung
    • 1
  1. 1.Department of Information EngineeringThe Chinese University of Hong KongN. T., Hong KongChina

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