How can LLM RL Work Despite Information-Theoretic Inefficiency

Cross-posted from my personal blogThe success of RL in LLMs has been puzzling me for a while. People have developed various information-theoretic style arguments by which they argue that RL is extremely informationally inefficient compared to pretraining, that it can only impart a tiny amount of bits, and that it can only bring out behaviours that are already in the base models etc. The basic intuition here is extremely obvious and essentially falls immediately out of the formulation of the two ...