In joint work with M. Lindsey we rephrase the optimal transportation problem with quadratic cost--via a Monge-Ampere equation--as an infinite-dimensional optimization problem, which is often a convex problem. This leads us to define a natural finite-dimensional discretization to the problem and ultimately develop a numerical scheme for which we prove a convergence result.
Geometry-Topology Seminar
Thursday, February 23, 2017 - 4:30pm
Yanir Rubinstein
University of Maryland