Learnability by fixed distributions

We consider PAC-learning where the distribution is known to the student. The problem addressed here is characterizing when learnability with respect to distribution D₁ implies learnability with respect to distribution D₂.

The answer to the above question ...

Exact forms of Rényi and Shannon entropies are determined for 27 continuous bivariate distributions, including the Kotz type distribution, truncated normal distribution, distributions with normal and centered normal conditionals, natural exponential ...

Exchangeable random variables form an important and well-studied generalization of i.i.d. variables, however simple examples show that no nontrivial concept or function classes are PAC learnable under general exchangeable data inputs $X_1, X_2, \ldots$. ...