Review for NeurIPS paper: Provably Good Batch Reinforcement Learning Without Great Exploration

Neural Information Processing Systems 

Weaknesses: I also feel that the paper could have benefited from a discussion of these as compared to just outrightly saying that existing methods do not give us good results. In particular, the conditions under which existing methods work vs do not work should have been discussed more explicitly than what it is right now in the paper. Moreover, I think the experiments on cartpole and hopper are not indicative of their method's performance since these have determnisitc dynamics and the dataset was collected as trajectories (so s' is as frequent as s in the distribution \mu, see my point below) and hence their choice of masking reduces to action conditioned masking only. Some other questions that I have: - From the analysis perspective, the paper says that prior works such as Kumar et al. 2019 that use action conditional and concentrability do not get the same error rate. Is the main issue behind this limitation that the notion of concentrability used in Kumar et al. and other works is trajectory centric and not on the state-action marginal?