Specifically, we use relationspecific matrices W r,1 and W r,2 as in the SE model to identify the relation-dependent aspects of both h and t, and use a vector r as in the TransE model to describe the relationship between h and t in this subspace.
our new KB completion model STransE chooses W r,1 , W r,2 and r so that W r,1 h + r ≈ W r,2 t. That is, a TransE-style relationship holds in some relation-dependent subspace, and crucially, this subspace may involve very different projections of the head h and tail t. So W r,1 and W r,2 can highlight, suppress, or even change the sign of, relation-specific attributes of h and t. For example, for the "purchases" relationship, certain attributes of individuals h (e.g., age, gender, marital status) are presumably strongly correlated with very different attributes of objects t (e.g., sports car, washing machine and the like).