Consider a single perceptron with sign activation function. The perceptron is…

2017

Consider a single perceptron with sign activation function. The perceptron is represented by weight vector [0.4 −0.3 0.1]t and a bias θ=0. If the input vector to the perceptron is X=[0.2 0.6 0.5] then the output of the perceptron is :

  1. A.

    1

  2. B.

    0

  3. C.

    - 0.05

  4. D.

    - 1

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Correct answer: D

Solution: Compute the weighted sum and apply the sign activation.

  1. Compute the weighted sum (net input): w·x + θ = 0.4×0.2 + (−0.3)×0.6 + 0.1×0.5 + 0 = −0.05.

  2. Apply the sign activation: sign(−0.05) = −1 because the net input is negative.

  3. Therefore, the perceptron output is −1.

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