Introduces intrinsic barycentric projection via conditional Fréchet means as the optimal deterministic map under squared geodesic loss for OT couplings on Riemannian manifolds, plus a tangential log-exp projection with Euclidean exactness and Monge compatibility.
Adam Chojecki, Pawe l Morgen, and Bartosz Ko lodziejek
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Barycentric Projections of Optimal Transport Plans on Riemannian Manifolds
Introduces intrinsic barycentric projection via conditional Fréchet means as the optimal deterministic map under squared geodesic loss for OT couplings on Riemannian manifolds, plus a tangential log-exp projection with Euclidean exactness and Monge compatibility.
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