In grammar transfer, our basic constraint is of the form: the expected proportion of conserved edges in a sentence pair is at least η (the exact proportion we used was 0.9, which was determined using unlabeled data as described in Section 5).
let C x be the set of directed edges projected from English for a given sentence x, then given a parse z, the proportion of conserved edges is The posterior regularization framework (Graça et al., 2008) was originally defined for generative unsupervised learning.