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in Artificial Intelligence (AI) by (30 points)
II) For the given input vectors \( S =( S 1, S 2, S 3, S 4) \) and output vectors \( t =( t 1 , t 2 \) ) find the weight matrix using hetro associative training algorithm. \( \begin{array}{lc}S=(S 1, S 2, S 3, S 4) & t=(t 1, t 2) \\ S I=(1,0,1,0) & (1,0) \\ S I I=(1,1,0,0) & (1,0) \\ S I I=(1,1,1,0) & (0,0) \\ S I V=(1,0,0,0) & (0,1)\end{array} \)

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Testing: We need to test to see if the net produces the correct output for each
of the training inputs. The activation function used is f(x) = 1 if x > 0; 0 if x 0
First Input: x = (1 0 0 0)
y_in1 = x1 w11 + x2 w21 + x3 w31 + x4 w41
= 1 * 2 + 0 * 1 + 0 * 0 + 0 * 0 =2
y_in2 = 0
y1 = f (y_in1) = f (2) = 1
y2 = f (y_in2) = f (0) = 0
This is correct for the first input.
Similarly, we can show that the correct output is produced for the other inputs.

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