Given sufficient parallel training data, the contextdependent phrase-to-phrase transduction model can be estimated using the GIATI method (Casacuberta and Vidal, 2004).
a reordering model with reordering constraints, such as ITG constraints (Wu, 1997), IBM constraints (Berger et al., 1996), and local constraints (Kumar and Byrne, 2005) can account for the syntactic differences.