, m], the alignment to the source and its translation is independent of all other translation and alignment decisions.
the probability that the ith word of e is e i can be computed as: We can also compute the posterior probability over alignments using the above probabilities, Finally, since all words in e (and their alignments) are conditionally independent, 3 Evaluating and maximizing the data likelihood under log-linear models can be computationally expensive since this requires evaluation of normalizing partition functions.