122 citations · 349 across the 22 of their papers we have counts for
4 papers · 1 filter
A Transportation Distance for Signal Analysis
Matthew Thorpe, Serim Park, Soheil Kolouri +2
Transport based distances, such as the Wasserstein distance and earth mover's distance, have been shown to be an effective tool in signal and image analysis. The success of transpo…
Transport-based analysis, modeling, and learning from signal and data distributions
Soheil Kolouri, Serim Park, Matthew Thorpe +2
Transport-based techniques for signal and data analysis have received increased attention recently. Given their abilities to provide accurate generative models for signal intensiti…
Least action principles for incompressible flows and geodesics between shapes
Jian-Guo Liu, Robert L. Pego, Dejan Slepčev
As V. I. Arnold observed in the 1960s, the Euler equations of incompressible fluid flow correspond formally to geodesic equations in a group of volume-preserving diffeomorphisms. W…
Estimating perimeter using graph cuts
Nicolás García Trillos, Dejan Slepčev, James von Brecht
We investigate the estimation of the perimeter of a set by a graph cut of a random geometric graph. For , with , we are given random i.i.d. poin…