2 citations · 2 across the 4 of their papers we have counts for
4 papers
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, Rocío Díaz Martín, Ivan V. Medri +4
We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…
An Efficient Transport-Based Dissimilarity Measure for Time Series Classification under Warping Distortions
Akram Aldroubi, Rocío Díaz Martín, Ivan Medri +3
Time Series Classification (TSC) is an important problem with numerous applications in science and technology. Dissimilarity-based approaches, such as Dynamic Time Warping (DTW), a…
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…
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…