This is a comprehensive review of the strong-interaction limit of density functional theory. It
covers the derivation of the limiting strictly correlated electrons (SCE) functional from exact …

We study multi-marginal optimal transport problems from a probabilistic graphical model
perspective. We point out an elegant connection between the two when the underlying cost …

Computing Wasserstein barycenters (aka optimal transport barycenters) is a fundamental
problem in geometry which has recently attracted considerable attention due to many …

Abstract Multimarginal Optimal Transport (MOT) has attracted significant interest due to
applications in machine learning, statistics, and the sciences. However, in most applications …

Starting from Brenier's relaxed formulation of the incompressible Euler equation in terms of
geodesics in the group of measure-preserving diffeomorphisms, we propose a numerical …

Abstract Multimarginal Optimal Transport (MOT) is the problem of linear programming over
joint probability distributions with fixed marginals. A key issue in many applications is the …

We extend the recently introduced genetic column generation algorithm for high-
dimensional multimarginal optimal transport from symmetric to general problems. We use …

We introduce a simple, accurate, and extremely efficient method for numerically solving
multimarginal optimal transport (MMOT) problems arising in density functional theory. The …

We investigate the convergence rate of multi-marginal optimal transport costs that are
regularized with the Boltzmann–Shannon entropy, as the noise parameter costs satisfying …

We consider inference (filtering) problems over probabilistic graphical models with
aggregate data generated by a large population of individuals. We propose a new efficient …