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math.OC2025
Optimal Transport and Wasserstein Barycenter for Radially Contoured Distributions
Keyu Chen, Yunxin Zhang
The optimal transport and Wasserstein barycenter of Gaussian distributions have been solved. In literature, the closed form formulas of the Monge map, the Wasserstein distance and…
math.OC2025
A Relaxed Wasserstein Distance Formulation for Mixtures of Radially Contoured Distributions
Keyu Chen, Zetian Wang, Yunxin Zhang
Recently, a Wasserstein-type distance for Gaussian mixture models has been proposed. However, that framework can only be generalized to identifiable mixtures of general ellipticall…