Preprint / scholarly article

Fibered Bures--HK Entropy--Transport

K. Takahashi

Published
DOI
10.5281/zenodo.17483082

Abstract

We prove dynamic–static equivalence for the hybrid ET functional and identify the unique reaction coefficient 1/4 via convex duality with endpoint Kullback–Leibler (KL) terms.

Keywords

  • category theory
  • geometry
  • hellinger-kantorovich
  • wasserstein-fisher-rao
  • optimal transport
  • entropy transport
  • benamou-brenier
  • reaction-diffusion
  • KL divergence
  • relative entropy

Identifiers and source records