ArticleEntropy (Basel, Switzerland)2021
On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius.
Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Beyond Entropy: Organization as the Preservation of Structural Identity.Entropy (Basel, Switzerland) · 2026Article
- Reconsideration of Information-Theoretic Principles-Perspective from the Dual Probability Distribution.Entropy (Basel, Switzerland) · 2026Article
- Safety evaluation of Balanced Health Care Dan-A medicinal formulation containing traditional edible ingredients in lung tumor-loaded mice.Food science & nutrition · 2023Article
- Revisiting Chernoff Information with Likelihood Ratio Exponential Families.Entropy (Basel, Switzerland) · 2022Article
- The unique second wave phenomenon in contrast enhanced ultrasound imaging with nanobubbles.Scientific reports · 2022Article
- Analysis on Optimal Error Exponents of Binary Classification for Source with Multiple Subclasses.Entropy (Basel, Switzerland) · 2022Article
- Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences.Entropy (Basel, Switzerland) · 2022Article
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Abstract
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 define a Jensen-Shannon symmetrization of distances. When the variational optimization is further constrained to belong to prescribed families of probability measures, we get relative Jensen-Shannon divergences and their equivalent Jensen-Shannon symmetrizations of distances that generalize the concept of information projections. Finally, we touch upon applications of these variational Jensen-Shannon divergences and diversity indices to clustering and quantization tasks of probability measures, including statistical mixtures.
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