6 citations · 10 across the 9 of their papers we have counts for
5 papers · 1 filter
Monge solutions and uniqueness in multi-marginal optimal transport via graph theory
Brendan Pass, Adolfo Vargas-Jiménez
We study a multi-marginal optimal transport problem with surplus , where $P\subseteq Q:=\{\{i,j\}: i, j \in \{1,2,...m…
Multi-marginal optimal transport on the Heisenberg group
Brendan Pass, Andrea Pinamonti, Mattia Vedovato
We consider the multi-marginal optimal transport of aligning several compactly supported marginals on the Heisenberg group to minimize the total cost, which we take to be the sum o…
Multi-marginal optimal transportation problem for cyclic costs
Brendan Pass, Adolfo Vargas-Jiménez
We study a multi-marginal optimal transportation problem with a cost function of the form , wher…
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…
A canonical barycenter via Wasserstein regularization
Young-Heon Kim, Brendan Pass
We introduce a weak notion of barycenter of a probability measure on a metric measure space , with the metric and reference measure . Under the as…