5 papers
Data representation with optimal transport
Rocío Díaz Martín, Ivan V. Medri, Gustavo Kunde Rohde
Optimal transport has been used to define bijective nonlinear transforms and different transport-related metrics for discriminating data and signals. Here we briefly describe the a…
Characterization of frames for source recovery from dynamical samples
Akram Aldroubi, Rocio Diaz Martin, Le Gong +2
In this paper, we address the problem of recovering constant source terms in a discrete dynamical system represented by , where is the -th state in a H…
LCOT: Linear circular optimal transport
Rocio Diaz Martin, Ivan Medri, Yikun Bai +4
The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning. In this p…
Dynamical Sampling for the Recovery of Spatially Constant Source Terms in Dynamical Systems
Akram Aldroubi, Rocio Diaz Martin, Ivan Medri
In this paper, we investigate the problem of source recovery in a dynamical system utilizing space-time samples. This is a specific issue within the broader field of dynamical samp…
Signed Cumulative Distribution Transform for Parameter Estimation of 1-D Signals
Sumati Thareja, Gustavo Rohde, Rocio Diaz Martin +2
We describe a method for signal parameter estimation using the signed cumulative distribution transform (SCDT), a recently introduced signal representation tool based on optimal tr…