Before revision:  To identify the influence of different target states on the NNC performance, we study two types of control: (i) microscopic control and (ii) macroscopic control. Microscopic control minimizes the L2 norm between the current and target state and macroscopic control minimizes the corresponding Wasserstein distance. We find that the proposed NNC framework produces low-energy control  signals that are highly correlated with those of optimal control.
After revision:  While we use loss functions that do not constrain the control signals that are highly correlated with those of optimal control.