In the current work, 𝛼 * = 1.0, and 𝛼 + = 0.0001. The input adiabatic database contains the same 6340 geometries as described previously. We tested several node structures of PM-DDNN corresponding to different numbers of hidden layers and hidden layer neurons (HLNs). We made several runs with each combination, and the best mean unsigned errors (MUEs) of the unpermuted energies obtained for each node structure of PM-DDNN are provided in Table . The first and last number in the structure column are fixed because the first number corresponds to the number of input coordinates, and the final number corresponds to the number of unique DPEM elements. For the present 14-state system, we have 105 unique elements of the DPEM. The final selection of global surfaces involves a balanced compromise between accuracy and efficiency because a larger number of HLNs usually improves the accuracy but always raises the cost of evaluating the potential energies, couplings, and gradients during simulations.