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Lifting PCA in the Wasserstein Space

arXiv:2610.29679v1 Announce Type: new Abstract: Principal Component Analysis (PCA) is a fundamental tool for statistical dimension reduction, yet no canonical extension to distribution-valued data has emerged within the framework of optimal transport. While Wasserstein barycenters and Wasserstein l…

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  1. 2026-10-22 04:00 · arXiv stat.ML
    Lifting PCA in the Wasserstein Space

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