It is important to note that our interval-based formulation is more concise in terms of the number of variables and constraints needed in the ILP relative to time expression-based (or timepoint-based) formulations used in previous work (Chambers and Jurafsky, 2008).
to overwrite the classification probabilities using event coreference knowledge, we propose two approaches as follows: MaxScore: We define the probability between any mention e ∈ E i and an interval I as follows: whereP (e , I) is the classifier (C E−t ) probability for associating event mention e to the time interval.