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# Original Matlab version by Aki Vehtari. Translation to Python
# by Tuomas Sivula.
# This software is distributed under the GNU General Public
# License (version 3 or later); please refer to the file
# License.txt, included with the software, for details.
seems to indicate that at least parts of the package have to use the GPLv3? This seems a bit problematic and is not mentioned in the LICENSE.md. I guess it would be possible to resolve this problem by reimplementing the algorithm without looking at the original code (and probably also not the existing implementation in this package if it was based on the original code), eg., just by studying the original paper.
AIC, BIC, and DIC have all been fully supplanted by WAIC, WBIC, and LOO-IC, and there's no longer any real reason to use them. I would suggest removing them from the package to avoid confusing beginners. Someone seeing them used in the package may be led to believe that using them is a good idea, that they provide information different from that provided by the newer information criteria, or that there must be some reason they're in the package. BIC is especially problematic: The name simultaneously gives new users the false impression that the BIC is actually Bayesian and that WAIC/LOO-IC are not Bayesian.
It might be a good idea to implement WBIC to have a replacement for BIC, since BIC has a different use case from the other information criteria in this package (asymptotically maximizing the probability of selecting the correct model, rather than maximizing the expected predictive accuracy of the model). I would also suggest referring to it as the Watanabe-Schwarz Information Criterion to avoid giving the impression that WBIC is "Especially" Bayesian.