21 citations · 43 across the 16 of their papers we have counts for
7 papers · 1 filter
Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
Giacomo Greco, Luca Tamanini
In this paper we determine quantitative stability bounds for the Hessian of entropic potentials, \ie, the dual solution to the entropic optimal transport problem. To the authors' k…
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…
Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
Alberto Chiarini, Giovanni Conforti, Giacomo Greco +1
We show convergence of the gradients of the Schrödinger potentials to the Brenier map in the small-time limit under general assumptions on the marginals, which allow for unbounded…
Viscosity solutions of Hamilton-Jacobi equation in spaces and applications to large deviations
Nicola Gigli, Luca Tamanini, Dario Trevisan
The aim of this paper is twofold. - In the setting of RCD(K,) metric measure spaces, we derive uniform gradient and Laplacian contraction estimates along solutions of the v…
A formula for the time derivative of the entropic cost and applications
Giovanni Conforti, Luca Tamanini
In the recent years the Schrödinger problem has gained a lot of attention because of the connection, in the small-noise regime, with the Monge-Kantorovich optimal transport problem…
From Harnack inequality to heat kernel estimates on metric measure spaces and applications
Luca Tamanini
Aim of this short note is to show that a dimension-free Harnack inequality on an infinitesimally Hilbertian metric measure space where the heat semigroup admits an integral represe…
An entropic interpolation proof of the HWI inequality
Ivan Gentil, Christian Léonard, Luigia Ripani +1
We present a pathwise proof of the HWI inequality which is based on en-tropic interpolations rather than displacement ones. Unlike the latter, entropic interpolations are regular b…