We thank all the reviewers for their constructive comments and useful suggestions

We thank all the reviewers for their constructive comments and useful suggestions. Q (R1): "Comparison with other methods like encoder" & "why do we need this technique" This is a very important point that we need to clarify in our paper. We will expand on this in the paper. As compared to GD-based methods, our algorithm is much more efficient. See appendix for time comparisons.