A popular operator for composing a relational embedding from two word embeddings is PairDiff, which is the vector difference (offset) of the word embeddings (Mikolov et al., 2013b;Levy and Goldberg, 2014;Vylomova et al., 2016;Bollegala et al., 2015b;Blacoe and Lapata, 2012).
given two words a and b represented by their word embeddings respectively a and b, the relation between a and b is given by a − b under the PairDiff operator.