In our model, they are related through a vector z i,j ∈ R d representing the shared, language-independent concept.
to generate the feature vectors, we first generate a random concept The source feature vector f S (s i ) is drawn from a multivariate Gaussian with mean W S z i,j and covariance Ψ S , where W S is a d S × d matrix which transforms the language-independent concept z i,j into a languagedependent vector in the source space.