if you are interested in this type of analysis are you familiar with the tishby papers? you will at the very least find them enjoyable/mind opening...
but some of his key claims are probably contradicted by empirical results.
the original paper:
https://arxiv.org/abs/1503.02406
a refutation:(with very harsh/unprofessional words by tishby in counter-refutation)
https://openreview.net/forum?id=ry_WPG-A-¬eId=ry_WPG-A-