Lean 4 Formalization of Contraction Coefficients for Jensen-Shannon Divergence
Lean 4 Formalization of Contraction Coefficients for Jensen-Shannon Divergence
Formal verification of exact formulas for Jensen-Shannon divergence contraction coefficients under symmetric channels. Verified Results - **Binary uniqueness**: m=2 is the unique case where η_JSD = η_χ²- **Strict inequality**: η_JSD > η_χ² for all m ≥ 3- **Interior optimality**: Supremum attained at b* ∈ (0,1) Status 930+ lines of verified proofs. Three analytic identities deferred (Taylor expansion, integral representation, SDPI equivalence). Requirements Lean 4 + Mathlib (January 2026) Reference A. Shvets, *"Contraction Coefficients for Jensen-Shannon Divergence"*, 2025 DOI: [10.5281/zenodo.18039673](https://doi.org/10.5281/zenodo.18039673)
Jensen-Shannon divergence, symmetric channels, contraction coefficient, Lean 4, formal verification, data processing inequality, information theory, Mathlib
Jensen-Shannon divergence, symmetric channels, contraction coefficient, Lean 4, formal verification, data processing inequality, information theory, Mathlib
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