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math.OC2019
Optimal transport and barycenters for dendritic measures
Young-Heon Kim, Brendan Pass, David J. Schneider
We introduce and study a variant of the Wasserstein distance on the space of probability measures, specially designed to deal with measures whose support has a dendritic, or treeli…
math.AP2019
Variational problems involving unequal dimensional optimal transport
Luca Nenna, Brendan Pass
This paper is devoted to variational problems on the set of probability measures which involve optimal transport between unequal dimensional spaces. In particular, we study the min…