3 papers
math.AP2026
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, RocÃo DÃaz MartÃn, 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…
cs.IT2025
An Efficient Transport-Based Dissimilarity Measure for Time Series Classification under Warping Distortions
Akram Aldroubi, RocÃo DÃaz MartÃn, 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…
math.OC2024
Data representation with optimal transport
RocÃo DÃaz MartÃn, 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…