6 citations · 8 across the 5 of their papers we have counts for
5 papers
On Khintchine type inequalities for -wise independent Rademacher random variables
Brendan Pass, Susanna Spektor
We consider Khintchine type inequalities on the -th moments of vectors of -wise independent Rademacher random variables. We show that an analogue of Khintchine's inequali…
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…
Nonpositive curvature, the variance functional, and the Wasserstein barycenter
Young-Heon Kim, Brendan Pass
This paper connects nonpositive sectional curvature of a Riemannian manifold with the displacement convexity of the variance functional on the space of probability measures…
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…