(2013a), where we learn a translation matrix M ∈ R dt×ds (where d s is the size of word embeddings of the source and d t of the target language) that projects source language embeddings into the embedding  , M is obtained by minimizing the following objective: The obtained matrix M can then be used to map the embedding of any word from the source language to the embedding space of the target language.
we can translate source language triples (e s 1 , r, e s 2 ) into the corresponding target language triples (e t 1 , r, e t 2 ) for each target language.