Communication Dans Un Congrès Année : 2026

Equivalence of optimal transport problems to regularization on the family of f-divergences

Résumé

This work establishes that an optimal transport (OT) problem regularized by a given f -divergence admits the same solution as another OT problem regularized by a different g-divergence, under an appropriate transformation of the cost function. This structural equivalence between OT problems regularized by distinct divergences, in the sense of sharing the same unique minimizer, is demonstrated within the framework of Polish spaces with bounded cost functions.

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Est complété par hal-05454647 Rapport Maxime Nicaise, Yaiza Bermudez, Samir M. Perlaza. On optimal transport with f-divergence regularization. RR-9607, Inria. 2026. ⟨hal-05454647⟩

Dates et versions

hal-05591964 , version 1 (15-04-2026)

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  • HAL Id : hal-05591964 , version 1

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Maxime Nicaise, Yaiza Bermudez, Samir M. Perlaza. Equivalence of optimal transport problems to regularization on the family of f-divergences. ISIT 2026 - IEEE International Symposium on Information Theory, Jun 2026, Guangzhou, China. ⟨hal-05591964⟩
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