Adapted optimal transport on filtered Gaussian processes reduces to a constrained Procrustes problem between Cholesky factors, yielding explicit martingale projections and asymptotic equivalence among bicausal couplings.
Wasserstein Riemannian geometry of Gaussian densities.Information Geometry, 1:137–179, 2018
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Adapted Optimal Transport between Filtered Gaussian Processes
Adapted optimal transport on filtered Gaussian processes reduces to a constrained Procrustes problem between Cholesky factors, yielding explicit martingale projections and asymptotic equivalence among bicausal couplings.