This paper was deemed to be a solid advance (some felt slightly incremental) to the recent Neural ODE work. The reviewers found the experiments and careful evaluation to be particularly satisfying, elevating this paper in our views. On that point, I recommend the authors take seriously and make efforts to implement all the changes discussed in the rebuttal — this rebuttal and the subsequent discussion amongst the reviewers caused the scores to be elevated to the level of acceptance, without which rejection would have been more likely.