Supplementto: ' OnTranslationandReconstruction GuaranteesoftheCycle-ConsistentGenerative AdversarialNetworks '

In casemin(n1,n2), W also follows suit, given thatLremains constant. The exact value ofE2 = 328 K(0) can be obtained based on the convention that K(.) achieves its modalvalueat0. To unify the two processes, one may assess theconvergencebasedonn=min{n1,n2}. Moreover, µ ν 1 F#µ ν 1 µ F#µ 1. (15) If the forward translated lawF#µ is Sobolev-smooth of ordermy (Assumption 2), Theorem (3) asserts the existence of a constantR As such, the cumulative identity loss from both domains cannot be minimized beyond the intrinsic discrepancy between the input distributions.