Given a discussion thread with d discussants and e entity targets, each attitude profile vector has n = (d + e) * 3 dimensions.
each target (discussant or entity) has three corresponding values in the DAP: 1) the number of times the discussant expressed positive attitude toward the target, 2) the number of times the discussant expressed a negative attitude towards the target, and 3) the number of times the the discussant interacted with or mentioned the target.