Generalization root-mean-squared error(RMSE) of multilayer perceptrons(MLPs) trained by the Levenberg-Marquardt(LM) algorithm, the hybrid greedy simulated annealing (HGSA) algorithm, and the multiobjective hybrid greedy simulated annealing(MOHGSA). (a), (b) Three-dimensional perspective plots of the test functions. (c), (d) Final solutions by LM, HGSA and MOHGSA for (a) and (b).