To ensure sense embeddings of two different languages align well, we hypothesize that the target sense identity s i not only predicts the sense identity s j of w j in C en t but also one sampled sense identity s l of w l from the parallel sentence C zh t , where s l is decoded by the Chinese monolingual sense induction module.
the bilingual skip-gram objective can be formulated using the English sense embedding matrix U en and the bilingual collocation estimation matrix V zh as: where s k iterates over all possible Chinese sense identities in the denominator.