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math.PR2025
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…
math.PR2025
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…
math.PR2024
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…