Generalized Wasserstein Barycenters
Generalized Wasserstein Barycenters
We propose a generalization, where negative weights are allowed, of the Wasserstein barycenter of $n$ probability measures. The barycenter is found, as usual, as a minimum of a functional. In this paper, we prove existence of a minimizer for probability measures on a separable Hilbert space and uniqueness in the …