Fig. 4: Polynomial and neural network model predictions for the spring network system.

Polynomial and neural network model results for the spring network system. a Joint probability distribution of node 2 vertical displacement (δX22) and node 2 vertical force component (P22). b Projection result of mean vertical displacement dependent on vertical force on node 2. c variance of vertical displacement dependent on vertical force on node 2. d Comparison between true and predicted values of the testing data set. e–h Corresponding prediction results by neural network.