importance of the formulated problem (R1

We want to thank the reviewers for their thorough comments and constructive suggestions! We respond to the reviewers' comments below and update the final version of the Datasets considered for the density estimation task are only synthetic. Shampine (1985) yield that we get 4th-order approximations at pre-defined grid points. ANODE exploits the checkpointing technique in the backward pass (see Figure 1d). Therefore, we did not compare with ANODE since the out of memory error was raised during training.