Discussion
A neuron has five inputs given by I = {1, 3, 2, −1, 3} and corresponding weights are W = {0.5, 2, −1, 2, −0.5}. The bias b = 0 and slope parameter α = 1. The sigmoid activation function is used to generate final output y. What is the value of y ?
Answer: C
The output is y = 0.73.
The net input is the weighted sum of the inputs plus the bias:
\[ \begin{aligned} net &= 1(0.5) + 3(2) + 2(-1) \\ &\quad + (-1)(2) + 3(-0.5) + 0 \\ &= 0.5 + 6 - 2 - 2 - 1.5 = 1 \end{aligned} \]
With slope parameter 1, the sigmoid gives
\[ y = \frac{1}{1 + e^{-1}} = \frac{1}{1.3679} \approx 0.73 \]
A sigmoid output lies between 0 and 1, so -1 is impossible; 0.52 and 0.92 correspond to net inputs of about 0.08 and 2.4.
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