MATLAB: How to find Regression Equation from artificial neural network or fuzzy tool box

regression equation from artificial neural network

I cant get the Regression Equation from artificial neural network

or the Fuzzy since they give least RMSE

Assume the input, x and target, t variables are normalized to xn and tn. Then the normalized output for the default regression neural net is

 yn = B2 + LW*tanh(B1 + IW*xn);

Where yn can be unnormalized to y by using the parameters of the target (e.g., min and max or mean and std)

The default regression equation between inputs and outputs is a curve in 3-dimensional input space.

 y = B2 +LW*tansig(B1+IW*x),

where the weights are obtained given the target, t.

The plots you have are the 1-D regressions of output vs target.

 y = W*t + b;

However, IW, B1, B2 and LW cannot be obtained by using W and b.

IW = net.IW; b = net.b; LW = net.LW;

Hope this helps.

Thank you for formally accepting my answer

Greg

Read the paper by Leila Djerou, Naceur Khelil, Mohamed Batouche