approximate conditional distribution and after those transformations they should be the same as original marginal distribution as a and oftentimes in literature this conditional distribution is just a deterministic mapping so I would say give me any sample from a I would map it to its corresponding sample in domain B so far so good so the question is basically we have stated the question to be in the end we are trying to match this marginal of be approximate B to the ground truth B which we have access to but in nopon you are saying