Supplementary materials for paper: CO-Optimal Transport

We recall the notations of the paper. The rest of the supplementary is organized as follows. Figure 1: Comparison between the coupling matrices obtained via GW and COOT on MNIST -USPS. Finally, as the cost is symmetric w.r .t This proof follows the proof of Theorem 2.2 in [ Note also that this result holds when we add a constant term to the cost function.2.2 Proofs of Propositions 2 and 3 We now prove all the theorems from Section 3 from the main paper.