Optimal Transport, Deep Learning, Computational Geometry, Probability Distributions, Convex Optimization.
to the 2-dim latent space in the sense that each point has equal weight, this will be our Y space. Then we build the Brenier potential as follows: We do a triangulation (Delaunay) of Y and the corresponding Voronoi diagram, and calculate each Voronoi cell’s area. We build Brenier potential by lift