A local Gaussian Bures-Wasserstein method approximates transport maps and barycenters, claimed to run 80x faster than kernel baselines while using fewer components.
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Local Bures-Wasserstein Transport: A Practical and Fast Mapping Approximation
A local Gaussian Bures-Wasserstein method approximates transport maps and barycenters, claimed to run 80x faster than kernel baselines while using fewer components.