A single family of Alpha Procrustes metrics unifies the Bures-Wasserstein and Log-Euclidean distances on positive definite matrices and operators, with explicit geodesics and closed forms in reproducing kernel Hilbert spaces.
Mathematische Nachrichten 147(1), 185–203 (1990)
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Alpha Procrustes metrics between positive definite operators: a unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics
A single family of Alpha Procrustes metrics unifies the Bures-Wasserstein and Log-Euclidean distances on positive definite matrices and operators, with explicit geodesics and closed forms in reproducing kernel Hilbert spaces.