21 citations · 43 across the 16 of their papers we have counts for
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A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm
Alberto Chiarini, Giovanni Conforti, Giacomo Greco +1
We study stability of optimizers and convergence of Sinkhorn's algorithm for the entropic optimal transport problem. In the special case of the quadratic cost, our stability bounds…
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…
Hamilton--Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions
Giovanni Conforti, Richard C. Kraaij, Luca Tamanini +1
This work is the third part of a program initiated in arXiv:2111.13258, arXiv:2302.06571 aiming at the development of an intrinsic geometric well-posedness theory for Hamilton-Jaco…