I understand that mathematical motivation behind Bayesian Information Criterion (BIC), Minimum description length (MDL), Akaike information criterion (AIC) are different but I am assuming that there are several applications where all three are equally applicable. I am interested to know the applications of these algorithm in as many areas as possible. I can only guess that it is used in estimation of number of targets in radar. But I can also imagine that such a general concepts can be applied in many other problems.
May I request to users of these algorithms to write a few lines on how they are using and are they using it in some products?
Any comments would be appreciated.