Review for NeurIPS paper: Random Reshuffling: Simple Analysis with Vast Improvements

Neural Information Processing Systems 

The abstract claims to remove the small step size requirements of prior work. However, to attain a good convergence rate (Corollary 1) the main theorems (Theorems 1 and 2) need a small step size, similar to previous works. In fact Safran and Shamir (2020) show that convergence is only possible for step size O(1/n) . Please modify the claims accordingly. However, the dependence on \mu has worsened.