Author

I. Medri

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Open access Aug 2026

Gromov–Wasserstein Barycenters: The Analysis Problem

Two methods are proposed: one utilizing fixed-point iteration for computing GW barycenters, and another employing a differentiation-based approach to the GW structure using a blow-up technique.

Rocío Díaz Martín, I. Medri, James M. Murphy · SIAM Journal on Mathematics... · 0 citations

Jul 2026

Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform

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 a Hilbert space in which 1D Wasserstein distances become weighted $L^2$ distances and translations become affine shifts. This makes the tran...

H. Antil, Rocio Diaz Martin, I. Medri et al. · arXiv.org · 0 citations