Does anyone have an example of ANN regression to extract a set of parameters using a known function? This seems like it would be a popular thing to do but I haven’t found a good example to model off of yet.
Assume you know the functional form with a set of unknown parameters. You want to train an ANN to extract the best parameters the way you would in a chi^2 minimization fit. So you would want to make your own cost function based on the functional form you are starting out with.
I guess for a particular ANN method you can find the error and install your functional form to use in the back-propagation but this can’t be the easiest way to do this for a problem that must be quite popular:
Double_t error = ( GetOutputNeuron( itgt )->GetActivationValue() - desired )*eventWeight;
Double_t error = ( F(GetOutputNeuron( itgt )->GetActivationValue()) - F(desired) )*eventWeight;
Where F(x,…) is the functional form and ‘F(desired)’ is the experimental data I’m using to extract the unknown set of parameters.