Author

L. Hartmann

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Preprint Sep 2026

Covariance and Principal Component Analysis on Riemannian Manifolds and Graphs

We develop notions of covariance and principal component analysis (PCA) for probability measures on Riemannian manifolds of bounded geometry and a discrete counterpart for distributions on the vertex sets of weighted simple graphs. Rather than anchoring variation at the Fr\'{e}chet mean, whose uniqueness and usefulness...

L. Hartmann, Wen-Wen Li, W. Mio · 0 citations