On Stiefel and Grassmann manifolds, the RL-barycenter with a projection retraction and a tangent-space lifting is exactly the projected arithmetic mean, giving a closed-form low-cost averaging method.
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Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds
On Stiefel and Grassmann manifolds, the RL-barycenter with a projection retraction and a tangent-space lifting is exactly the projected arithmetic mean, giving a closed-form low-cost averaging method.