Following standard practice, we optimize the parameter values in a maximum soft-margin framework.
for the given sentencex and the corresponding syntactic treeŷ syn , we adjust parameter values to separate gold semantic parse and other incorrect alternatives: where Z(x,ŷ syn ) represent the set of all possible semantic parses, and cost(ẑ sem , z sem ) is a non-negative function representing the structural difference betweenẑ sem and z sem .