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math.PR2026
Adapted Optimal Transport between Filtered Gaussian Processes
Madhu Gunasingam, Ting-Kam Leonard Wong
We continue the study of adapted optimal transport in the discrete-time Gaussian setting. To this end, we introduce a space of filtered Gaussian processes where both the randomness…
math.PR2026
Adapted Wasserstein Barycenters of Gaussian Processes
Madhu Gunasingam, Francesco Mattesini, Johannes Wiesel +1
We study barycenters of filtered Gaussian processes in adapted Wasserstein space. The adapted Wasserstein distance refines classical optimal transport by requiring transport plans…
math.PR2024★ 2 cited
Adapted optimal transport between Gaussian processes in discrete time
Madhu Gunasingam, Ting-Kam Leonard Wong
We derive explicitly the adapted -Wasserstein distance between non-degenerate Gaussian distributions on and characterize the optimal bicausal coupling(s). This le…