Learning with Equivalence Constraints and the Relation to Multiclass Learning

We study the problem of learning partitions using equivalence constraints as input. This is a binary classification problem in the product space of pairs of datapoints. The training data includes pairs of datapoints which are labeled as coming from the same class or not. This kind of data appears naturally in applications where explicit labeling of datapoints is hard to get, but relations between datapoints can be more easily obtained, using, for example, Markovian dependency (as in video clips).