An algebraic framework for information theory: classical information

Manas Kumar Patra; Sam Braunstein

doi:10.1093/imamci/dns016

An algebraic framework for information theory: classical information

Manas Kumar Patra, Sam Braunstein

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

This work proposes a complete algebraic model for classical information theory. As a precursor the essential probabilistic concepts have been defined and analysed in the algebraic setting. Examples from probability and information theory demonstrate that in addition to theoretical insights provided by the algebraic model one obtains new computational and analytical tools. Several important theorems of classical probability and information theory are formulated and proved in the algebraic framework.

Original language	English
Pages (from-to)	205-238
Number of pages	34
Journal	IMA Journal of Mathematical Control and Information
Volume	30
Issue number	2
DOIs	https://doi.org/10.1093/imamci/dns016
Publication status	Published - Jun 2013

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10.1093/imamci/dns016

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AB - This work proposes a complete algebraic model for classical information theory. As a precursor the essential probabilistic concepts have been defined and analysed in the algebraic setting. Examples from probability and information theory demonstrate that in addition to theoretical insights provided by the algebraic model one obtains new computational and analytical tools. Several important theorems of classical probability and information theory are formulated and proved in the algebraic framework.

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