We thank the reviewers for their detailed comments and thoughtful feedback

Neural Information Processing Systems 

We thank the reviewers for their detailed comments and thoughtful feedback. For instance, the mistake oracle model presented in Section 4 captures what's referred to in practice In the statement of Theorem 4.3 (lines 317-320), we do explicitly specify the sample/oracle complexity of the resulting Our results can also be extended to the Massart noise model. We view this as a significant contribution of our work, since this isn't "right" access we need to allow/assume/use. Regarding the proof of the lower bound, your intuition and understanding is correct. This can be done with roughly similar sample/oracle complexity as in the realizable setting.

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