2 papers
math.PR2024
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.AP2024
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…