6 citations · 10 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Optimal transportation between unequal dimensions
Robert J McCann, Brendan Pass
We establish that solving an optimal transportation problem in which the source and target densities are defined on manifolds with different dimensions, is equivalent to solving a…
Multi-marginal optimal transport on Riemannian manifolds
Young-Heon Kim, Brendan Pass
We study a multi-marginal optimal transportation problem on a Riemannian manifold, with cost function given by the average distance squared from multiple points to their barycenter…
Multi-marginal optimal transport and multi-agent matching problems: uniqueness and structure of solutions
Brendan Pass
We prove uniqueness and Monge solution results for multi-marginal optimal transportation problems with a certain class of surplus functions; this class arises naturally in multi-ag…