vix.ing · top · new · best · stats · spec

An algebraic approach to information theory

2010/06/02 by Manas K. Patra, Manas K Patra, Samuel L. Braunstein +3
Computer Science · Mathematics · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1006.0355

5 pages, to be presented at Int. Symp. Inf. Th. (ISIT), 2010

arxiv created 2010/06/02 · openalex publication_date 2010/06/02 · arxiv updated 2010/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work proposes an algebraic model for classical information theory. We first give an algebraic model of probability theory. Information theoretic constructs are based on this model. In addition to theoretical insights provided by our model one obtains new computational and analytical tools. Several important theorems of classical probability and information theory are presented in the algebraic framework.

Related