I want to extract a equation from neural network (in MATLAB) which is function of the weights, biases and activation function, (for example, y=ax+b). please use a simple code and explain step by step.
Reza:
Lets suppose that you want to train a NN for regression, some inputs and one target like this:
hiddenLayerSize = [6 2]; %two hidden layers with 6 and 2 hidden units
net = fitnet(hiddenLayerSize);
[net,tr] = train(net,inputs,targets);
The following code in MATLAB should print the NN configuration, weights, activation function and bias. Then you can build your equation...
clc;
fprintf('Network Configuration\n');
fprintf('Internal weights for each layer\n\n');
fprintf(':::: Input Layer/Hidden1 ::::\n');
for R=1:net.inputs{1}.size
fprintf('X%d\n',R)
for S=1:hiddenLayerSize(1)
fprintf('W(%d,%d)=%f\n',R,S,net.IW{1}(S,R));
end
fprintf('-------\n');
end
fprintf('Node Bias\n');
for R=1:net.layers{1}.dimensions
fprintf('b(%d)=%f\n',R,net.b{1}(R));
end
fprintf('-------\n');
fprintf('Activation function: %s\n',net.layers{1}.transferFcn);
fprintf('*********************************\n');
for R=2:net.numLayers-1
fprintf(':::: Input Hidden %d ::::\n',R);
%fprintf('%d,%d\n',R,R-1);
[NODES,IN_NODES]=size(net.LW{R,R-1});
for K=1:IN_NODES
fprintf('Node %d \n',K)
for S=1:NODES
fprintf('W(%d,%d)=%f\n',K,S,net.LW{R,R-1}(S,K));
end
fprintf('-------\n');
end
fprintf('Node Bias\n');
for m=1:net.layers{R}.dimensions
fprintf('b(%d)=%f\n',m,net.b{R}(m));
end
fprintf('-------\n');
fprintf('Activation function: %s\n',net.layers{R}.transferFcn);
fprintf('---------------------------------\n');
end
fprintf('*********************************\n');
fprintf(':::: Output Layer ::::\n');
R=R+1;
[NODES,IN_NODES]=size(net.LW{R,R-1});
for K=1:IN_NODES
fprintf('Node %d \n',K)
for S=1:NODES
fprintf('W(%d,%d)=%f\n',K,S,net.LW{R,R-1}(S,K));
end
fprintf('-------\n');
end
fprintf('Output bias\n');
fprintf('b=%f\n',net.b{net.numLayers}(1));
fprintf('-------\n');
fprintf('Activation function: %s\n',net.layers{R}.transferFcn);
fprintf('*********************************\n');
fprintf('Done...!\n');
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