2 papers
math.AP2025
Gradient Flows of Potential Energies in the Geometry of Sinkhorn Divergences
Mathis Hardion, Hugo Lavenant
We analyze the gradient flow of a potential energy in the space of probability measures when we substitute the optimal transport geometry with a geometry based on Sinkhorn divergen…
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…