Interior Optimality of Jensen–Shannon Divergence Contraction Coefficients for Binary-Input Channels

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Alex B. Shvets
DOI: 10.5281/zenodo.18264720
Cited by: 0

Abstract

For binary-input channels with common support, the JSD contraction coefficient is attained at an interior point b* ∈ (0,1), not at simplex vertices. Proof via exact integral representation of JSD as a mixture of χ²-divergences.

Fields of Study & Subjects

Statistical Mechanics and Entropy Probability and Statistical Research Statistical Methods and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 January 2026
Document type
Preprint