2 only allow us to approximate

We thank all reviewers for their detailed feedback. Please see individual responses below. Thank you for your positive comments! "The decoding procedure in Phase 3 is quite elaborate... " In Algorithm 4 line 28, why is noise added to the optimal policy...? " This is closely related to the point above: Since However, since the noise decays with O (ε), the resulting controller is still ε -suboptimal. Most practical systems are only locally linear... How difficult is it to extend this algorithm to the locally-linear " Extending our algorithm to the locally linear setting is a very exciting direction for future research, but we are "The paper lacks any empirical evaluation...With such an experiment this paper "The paper uses "decoder" in place of what in traditional autoencoding... " "...it is certainly not the case that this paper is introducing this as a novel problem... " We will update the abstract to be more precise. "... if F is a family of neural networks, isn't the search space (capacity) |F | increases exponentially?