Before revision:  The heads thus estimated have superior cross-sentence performance compared to their jointly estimated equivalents  . Lastly, we seek to isolate to what extent our numbers stem from lexical frequency based associations between gold arguments and roles.
After revision:  The heads thus estimated have superior cross-sentence performance compared to their jointly estimated equivalents , albeit only under the unrealistic assumption that we already know the argument is present in an-other sentence . Lastly, we seek to isolate to what extent our numbers stem from lexical frequency based associations between gold arguments and roles.