while A.3 is a common assumption in linear regression analysis and it relates to the LARS problem in our online

We thank all the reviewers for carefully reading of the manuscript and constructive comments. Reviewer #1: Assumptions A.2 and A.3 used in Algorithm 2. Reviewer #3: There seem to be several misunderstandings regarding the steps of our algorithm and its analysis. To maintain the list constant, for every added point another point is removed.