Congratulations, your paper has been accepted for publication at NeurIPS2019. The reviewers found it to be an important and novel piece of work. When preparing the camera ready version, please bear in mind the reviewers comments. In particular, the following were raised during the discussion as outstanding points that should be considered when revising the paper: - Clarify whether AGEM is a MAP or a MMSE estimator. All three reviewers insisted upon this point during discussion. - Include the additional results from your response which show the stability of your approach. - Define more carefully what the main contribution of the paper is, and place it in perspective wrt prior work (ie MMSE estimators and noise estimation methods).