To test this idea, the NNs are provided partially mixed configurations after 𝑁 steps of the LS method mixing process for the 10 000 initial conditions of the validation set and allowed to continue mixing to 𝑁 = 31 according to their approximations of the LS method. The results averaged across realizations in Fig. indicate that the fraction of configurations that successfully mix based on interface generation to 𝑁 = 31 increases when starting with more steps of the exact LS method as expected. Note that the fraction of conditions mixing at the leftmost end of the curves in Fig. corresponds to that at the rightmost end of the curves in Fig. ) by definition (mixing to 𝑁 = 31). At 𝑁 = 30, the NN is provided the final configuration before the terminal 𝑁 = 31 configuration and almost all configurations create new interfaces in the final application of the approximate LS method.