Binary Worst-Case Theorem for the Jensen–Shannon Chain-Rule Ratio

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

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Authors: Alex B. Shvets
DOI: 10.5281/zenodo.18478103
Cited by: 0

Abstract

A complete proof that the worst-case Jensen–Shannon chain-rule ratio over binary triples is a universal constant. Method. Martingale decomposition, Dinkelbach linearization and concave-envelope support reduction to 2×2×2 distributions. The sharp constant is computed to high precision through a KKT system with hidden quadratic structure.

Fields of Study & Subjects

Mathematical Inequalities and Applications Probability and Statistical Research Statistical Mechanics and Entropy

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
2 February 2026
Language
EN
Document type
Preprint