Before revision:  Then, the potential map is regarded as a condition, together with the current dynamics, to generate the trajectory . The trajectory is modeled by a network based continuous function approximator , which naturally reserves the derivatives for high-order supervision without any additional parameters.
After revision:  Then, the potential map is regarded as a condition, together with the current dynamics, to generate a continuous trajectory as output by a continuous function approximator , which naturally reserves the derivatives for high-order supervision without any additional parameters.