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stat.ME2024★ 1 cited
Fused Gromov-Wasserstein Variance Decomposition with Linear Optimal Transport
Michael Wilson, Tom Needham, Anuj Srivastava
Wasserstein distances form a family of metrics on spaces of probability measures that have recently seen many applications. However, statistical analysis in these spaces is complex…
stat.ME2023
A Wasserstein-type Distance for Gaussian Mixtures on Vector Bundles with Applications to Shape Analysis
Michael Wilson, Tom Needham, Chiwoo Park +2
This paper uses sample data to study the problem of comparing populations on finite-dimensional parallelizable Riemannian manifolds and more general trivial vector bundles. Utilizi…