First, while ILP incorporates the confidence values associated with the various classifiers' outputs into the objective function, these outputs are incorporated into an MLN as soft evidence, which can be thought of as our prior belief that a given atom (i.e., a grounded query predicate) is true.
we include as priors the atoms Span(s,l = N) with weight w e when p(s = l|x) ≥ γ, where p(s = l|x) is the probability that the CRF thinks span s has entity type l given evidence x.