2 papers
cs.LG2022
Wassmap: Wasserstein Isometric Mapping for Image Manifold Learning
Keaton Hamm, Nick Henscheid, Shujie Kang
In this paper, we propose Wasserstein Isometric Mapping (Wassmap), a nonlinear dimensionality reduction technique that provides solutions to some drawbacks in existing global nonli…
math.NA2011
Iterative scheme for solving optimal transportation problems arising in reflector design
Tilmann Glimm, Nick Henscheid
We consider the geometric optics problem of finding a system of two reflectors that transform a spherical wavefront into a beam of parallel rays with prescribed intensity distribut…