To better deal with complex relations like 1-to-N, N-to-1 and N-to-N, TransH (Wang et al., 2014) and TransR (Lin et al., 2015b) employ relation-specific hyperplanes and relation-specific spaces respectively to separate triples according their corresponding relation.
the concrete forms of the variables in Equation 2are shown as follows, where W p s=n ∈R d×d indicates the projection matrix for path p s=n , which aims to project the tail entity in a path to the space of p s=n .