I am currently trying to run a computer experiment where I run a monte carlo of the time response of a lump mass heating up where I vary all of the different parameters in the model ( mass, heat flux, emissivity etc.). I then want to use this data to develop a model of the system using a neural network or another regression technique. Finally I then want to take experimental data and using the model of the system determine what the mass of the lump mass is.
My question is in the methodology of how to complete this problem. Could anyone propose a technique or toolbox that I should look into to do something like this. I was thinking neural networks as they are good at predicting nonlinear behavior given a lot of data, however I couldn't find a way to do what I proposed above. I know this question is open ended, so I am just trying to get an idea of where to look.