probability distributions correspondent the probability of our training dataset giving or given our toss parameters and our test dataset given our task parameters and then our goal will be can we sample task specific parameters Phi I given our training data points and ex-house essentially given all of the observed variables and because of conditional independence a test time we we don't really need to worry too much about X test we just want to be able to sample Phi I given x training in a white rain so blackbox adaptation approaches