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math.OC2026
A PDE approach to Benamou--Brenier formula for the Schrödinger problem
Mattia Garatti, Luca Nenna, Simona Rota Nodari +1
We studied the Benamou--Brenier formulation of the Schrödinger problem, focusing on a gap between theoretical results and applications, that often involve measures with unbounded…
math.OC2025
The Riemannian geometry of Sinkhorn divergences
Hugo Lavenant, Jonas Luckhardt, Gilles Mordant +2
We propose a new metric between probability measures on a compact metric space that mirrors the Riemannian manifold-like structure of quadratic optimal transport but includes entro…