Abstract: In some embodiments of the invention, a method for estimating parameters of an evolution model includes identifying an evolution model; obtaining a set of training data values, where each value in the set is associated with a parameter-of-interest (PoI) associated with the evolution model; obtaining a noise model representing noise affecting the output of the evolution model; obtaining a prior model that represents prior information on characteristics of the parameter-of-interest; constructing a loss function for a neural network, where the loss function incorporates the set of training data values, the evolution model, the noise model, and the prior model; and training the neural network with the loss function to obtain updated weights.