Following the conditional random fields (Lafferty et al., 2001), we adopted a log-linear approach for such a joint mention extraction and typing task.
for a given input sentence x, the probability of predicting a possible output y (a mention sub-hypergraph that represents a particular combination of mentions) is given as follows: where f (x, y) is the feature vector defined over the input-output pair (x, y), and the weight vector w gives the parameters of the model.