Review for NeurIPS paper: Neural Networks Learning and Memorization with (almost) no Over-Parameterization

Neural Information Processing Systems 

This paper studies optimization in the NTK regime, further improving the best prior width bounds for random data (I believe Oymak-Soltanolkotabi were the prior best). The reviewers and I were all favorable, and I look forward to seeing this paper appear, and support the authors in further investigations. Relatedly, this point was not sufficiently handled in the rebuttal, despite the rebuttal using less than half a page. Please consider such things in the future. One is by Roman Vershynin, and I believe Sebastien Bubeck and colleagues also had a paper on the "Baum" problem.