I use lasso to perform regularized regression on the weights of the output layer of an ELM.

[OutputWeight FitInfo] = lasso(H',T','Lambda',[2 1 0.5 0.3],'Alpha',0.1);

[minMSE, minLidx] = min(FitInfo.MSE) ;

OutputWeight = OutputWeight(:,minLidx);

However the MSE I get from the lasso function is different (much less, around 2-3 orders of magnitude) than the MSE when I perform

Y=(H' * OutputWeight)';

Tr_error = mse(T-Y)

Any idea why this happens?

In the above notations, T is tha targets, and Y the output of the network

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