An Axiomatic Characterization of Mutual Information

We characterize mutual information as the unique map on ordered pairs of discrete random variables satisfying a set of axioms similar to those of Faddeev’s characterization of the Shannon entropy. There is a new axiom in our characterization, however, which has no analog for Shannon entropy, based o...

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Bibliographic Details
Main Author: James Fullwood
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/4/663