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.
Causal transport plans and their Monge–Kantorovich problems.Stochastic Analysis and Applications, 36(3):452–484, 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.