Review for NeurIPS paper: On the Convergence of Smooth Regularized Approximate Value Iteration Schemes

Neural Information Processing Systems 

Correctness: - The claims are correct for the most part, excepting some questions I had about the neural network function approximation section. As this claim doesn't seem to be major, I am willing to weight it less and put the paper at an accept for now. I don't completely follow the argument given, since the use of limiting approximations doesn't seem to allow the use of any inequalities in lines 482-483. This could just be my relative unfamiliarity with NTK. - What is "overwhelming probability"? Where does the u_j go?