Question

Please show the work and answer for the following problem in the photo below.

Neural Network What function does the following neural network represent? X1 output -1 -1.5 1 -0.5 X7 1 -0.5

Answer 1

The above neural network represented following function

Above given neural network has 4 nodes totally

1st node ==> -1.5 bias is added

2nd node ==> -0.5 bias is added

3rd node ==> -0.5 bias is added

4th node ==> -0.5 bias is added

Output @ 1st node = x1 + x2 - 1.5

Output @ 2nd node = x1 + x2 - 0.5

Output @ 3rd node = (x1 + x2 - 1.5) * -1 + (x1 + x2 - 0.5)*1 - 0.5

Output @ 4th node = [ (x1 + x2 - 1.5) * -1 + (x1 + x2 - 0.5)*1 - 0.5 ] * -1 + 0

Final output = [ (x1 + x2 - 1.5) * -1 + (x1 + x2 - 0.5)*1 - 0.5 ] * -1