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Author

James M. Murphy

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2 papers indexed here

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Preprint Oct 2026

Sliced Wasserstein Barycenters: The Analysis Approach within the Barycentric Coding Model in the Wasserstein Space

We study sliced Wasserstein barycenters from a variational perspective in Wasserstein space, with emphasis on the analysis problem in the barycentric coding model: given a query measure and a finite dictionary of probability measures, recover simplex-constrained barycentric coordinates. We derive an explicit first-vari...

Rocio Diaz Martin, James M. Murphy · 1 citation
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 · 0 citations

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