On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius

We generalize the Jensen-Shannon divergence and the Jensen-Shannon diversity index by considering a variational definition with respect to a generic mean, thereby extending the notion of Sibson’s information radius. The variational definition applies to any arbitrary distance and yields a new way to...

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Bibliographic Details
Main Author: Frank Nielsen
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/4/464