R-PCA replaces Euclidean distances in PCA with UMAP-induced local weightings and then performs PCA on a rescaled covariance; it claims better cluster preservation on a simulated set and Olivetti Faces.
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Lapan, Irene E
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Riemannian Principal Component Analysis
R-PCA replaces Euclidean distances in PCA with UMAP-induced local weightings and then performs PCA on a rescaled covariance; it claims better cluster preservation on a simulated set and Olivetti Faces.