Comment by IlyaOrson

That actual content of that work was good but very misleading with an excess of backpropaganda and a poor literature review. The training procedure makes sense as continuous time backprop but it is mostly a special case of adjoint sensitivity analysis. The use of a NN as defining an ODE system seems fair to be named Neural ODE, imho its a good name, although again it was not completely novel as the writing style through the paper makes it look.