34 citations · 146 across the 31 of their papers we have counts for
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math.AP2014★ 8 cited
Wasserstein Barycenters over Riemannian manifolds
Young-Heon Kim, Brendan Pass
We study barycenters in the space of probability measures on a Riemannian manifold, equipped with the Wasserstein metric. Under reasonable assumptions, we establish absolute contin…
math.AP2014
Multi-marginal optimal transport: theory and applications
Brendan Pass
Over the past five years, multi-marginal optimal transport, a generalization of the well known optimal transport problem of Monge and Kantorovich, has begun to attract considerable…
math.AP2014
The multi-marginal optimal partial transport problem
Jun Kitagawa, Brendan Pass
We introduce and study a multi-marginal optimal partial transport problem. Under a natural and sharp condition on the dominating marginals, we establish uniqueness of the optimal p…