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I would like to thank the reviewers for their thorough and constructive comments, and I am confident that all of the

Neural Information Processing Systems

BBBVI took about 3 hours per dataset. The NOMT took less than 5 seconds per dataset. Reviewer 3 noted that the spike-and-slab model does not satisfy the non-overlapping support assumption of Theorem 1. It would be possible to have a "symmetric" version of the theorem, but it would describe a Reviewer 2 suggested using reconstruction error as a metric for the sparse PCA application. I will include a discussion of these similarities and differences in the revision. Reviewer 1 asked if the supports of the mixture distributions must defined a priori .