0a93091da5efb0d9d5649e7f6b2ad9d7-Supplemental.pdf

Further, this choice offα,β allows us to boundkfα,βk given that the ground cost functionc is boundedonX. The proof is given in Appendix C.4. B.3 LasttermconvergenceofSD With a slight change toSD, we can claim its last term convergence: In each iteration, check if S(αt,{βi}ni=1) . For simplicity, we omit the subscript of the Sinkhorn potentialfα,β and simply usef. This implies that 2f(x) exists and is bounded from above: x X,k 2f(x)k Lf, which concludestheproof.