Optimal transport

The use of conic formulation related to unbalanced optimal transport: regularity, the Camassa-Holm equation and its relaxation, unbalanced Gromov-Wasserstein.

In this talk, we present our use of the conic formulation first proposed by Liero, Mielke and Savaré, in different applications related to unbalanced optimal transport: the first one is regularity of optimal transport, the second is the Camassa-Holm equation which is the fluid dynamic model directly related to unbalanced optimal transport and the metric on metric measures spaces with unnormalized measures.