Before revision:  Finally, we develop an algorithm to pullback the trajectory to the original high dimensional space as a generative data for the new physical system}  .
After revision:  Finally, we develop an algorithm to pullback the trajectory to the original high dimensional space as a generative data for the new physical system} After an unconditionally stable explicit time discretization, the data-driven finite volume scheme gives an approximated Markov process for the Langevin dynamics on \mathcal{N .