Response to Reviewer 2: Empirical evaluation: Interestingly, we actually did an empirical evaluation in the earlier

Neural Information Processing Systems 

We thank the reviewers for the positive feedback and their interest in our work! Below we address some questions. Both algorithms are well-tuned for hyperparameters. We didn't include it in the submission because after all the We will make sure to define them earlier in the paper in the revision. We are happy to clarify them.