For all sentence pairs (S, T ): ∀s ∈ S, t ∈ T : The new conditional probabilities are calculated in the maximization step and for making means and covariances for the source words, these probabilities are used as weights for weighted averaging of the vectors: In the initialization of the EM algorithm, for all pairs of words, the probability p(t|s) is equal to 1.
for making the IBM alignments, the tool Giza++ was used (Och and Ney, 2000a).