Yes definitely! We didn't want to complicate the repository, but from a few in-house experiments we already know that it is possible to improve the rotation matrices by: 1. First aligning to a reference language (English) 2. Then defining a new reference as the mean vector of all the languages for each entry in the training dictionary 3. Re-align the languages to this new reference "language" 4. Iteratively repeat 2 and 3 to convergence

As you suggest potentially this mean language is itself really high quality word vectors; but we haven't looked at this yet...