Bures geodesics stay in the determinant-normalized Kronecker model exactly in one-factor cases, with a partial-trace residual criterion and exact formulas for restricted barycenters using Perron vectors or reduction to smaller spaces.
Geodesic variational Bayes for multiway covariances
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Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices
Bures geodesics stay in the determinant-normalized Kronecker model exactly in one-factor cases, with a partial-trace residual criterion and exact formulas for restricted barycenters using Perron vectors or reduction to smaller spaces.