cdf1035c34ec380218a8cc9a43d438f9-AuthorFeedback.pdf

R2 considered our method requiring a "discretized proxy." First of all, a different, more challenging optimization problem is studied in our work. The variables in the16 barycenter problem we consider include not only the individual transport plan from each source to the barycenter,17 but importantly also the barycenter itself. Wewould33 like to point out that there are three accepted papers at NeurIPS last year inspired by Wasserstein barycenters. These are37 challenging questions that depend on the specific structure of parameterization and the particular recovery method.38