The SVM-based pipeline system yields confidence values in the form of hyper-plane distances for each dialogue utterance for every mode, act, subact and also whether a mode switch occurred.
given an utterance t for student s, we will have hyper-plane distances for Act(s,t,+a), Subact(s,t,+u), Mode(s,t,+m) and ModeSwitch(s,t) (Note that, these are the atoms in the RHS of the soft formulas specified in 5).