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Adapted optimal transport between Gaussian processes in discrete time (2404.06625v4)
Published 9 Apr 2024 in math.PR
Abstract: We derive explicitly the adapted $2$-Wasserstein distance between non-degenerate Gaussian distributions on $\mathbb{R}N$ and characterize the optimal bicausal coupling(s). This leads to an adapted version of the Bures-Wasserstein distance on the space of positive definite matrices.
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