infer what P produce my a so instead of only inferring what is my corresponding B I infer that as well as what is the noise source that produced me now with both the noise source and the corresponding B I can use that to map it to an a prime using this color which is the mapping coming back from B to a and in the end I can say that a and a prime should be similar in l1 in l1 lost sense so now it's okay because I'm choosing a specific Z for each particular data point so if we think about it from an information theoretic sense whatever