addressing concerns shared by several reviewers: 2

Neural Information Processing Systems 

We would like to thank the reviewers for their insightful comments which will help us improve the article. Impact of the noise parameter: We will add Fig.(a) below in appendix. It supports the theoretical claim of Sec.2.3 that the noise parameter is of little importance. Model 1. is unrealistic: A more natural model is ICA based solutions for cleaning EEG or fMRI data). The difference between algorithms is small.

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