In the multilingual setting, we would like to learn to translate in all directions having access to only few parallel bilingual corpora.
we would like to learn a collection of models, We can assume that models are independent and choose to learn them by maximizing the following objective: In the statistics literature, this estimation approach is called maximum composite likelihood (Besag, 1975;Lindsay, 1988) as it composes the objective out of (sometimes weighted) terms that represent conditional sub-likelihoods (in our example, P θ (x j | x i )).