distributions and the reason that we have to weaken it is because in high dimensional continuous spaces like images we don't have good ways of representing distributions that mean anything useful so let's say our entire world consists of two scalar variables y1 and y2 we're not going to do prediction here I mean we could consider that one variables observe the other one is not but we don't know in advance which one so let's say you observe y2 okay and this is this is our training set each each each point here is a