In fact, our model induces at most 4-6 roles (even if |R| is much larger).
namely, instead of computing an expectation of p(a i |a −i , r,v,C,u) under p(r|x, w), as in (3), we use the posterior distributions µ is = p(r i = s|x, w) and score the argument predictions as where µ are the posteriors for all the arguments, and φ i (a, a −i ) is the score associated with predicting lemma a for the argument i.