Wasserstein Metric from Transport Theory and Riemannian Structure of Density Functions
Thursday, June 12, 2014 - 9:00am - 10:30am
Day 4: Transport theory leads to a natural metric of the space of probability densities that in turn leads to a natural Riemannian structure. We will describe some of the basic geometric concepts such as Ricci curvature, and see how this methodology allows one to define a notion of curvature on rather general metric spaces. We will describe applications to large data networks.