Consider two classification tasks over a shared input space, a source task s from X to Y s and a target task t from X to Y t , which are related through a conditional distribution P (y t = i|y s = j).
a labeling decision for task s induces an expected label distribution over the task t. For a set of datapoints x 1 , ..., x n that share a source label y s , we expect to see a target label distribution of P (y t |y s ) =p y s .