We thank the reviewers for their encouraging and instructive comments, and the AC for guiding the review process

We thank the reviewers for their encouraging and instructive comments, and the AC for guiding the review process. Gray (2013), and may look a bit too complicated. We will add a remark in line with our comment above. Note that the assumption on encoder gap is very mild. R2: It is not clear that sparsity-promoting encoders are the right models to be studying. Ours is the first work to address this.