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 :

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UGC NET Computer Science (Paper 3) Nov 2017 Official Paper

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Answer 1

The correct answer is option 4.

Key Points

Here, it is given input vector X =[0.2 0.6 0.5] and weight vector W =[0.4 −0.3 0.1]^T

The output of perceptron is P=∑W_ix X_i = [0.2*0.4 0.6*(-0.3) 0.5*0.1] = [0.08-0.18+0.05] = -0.05

Usually used in hidden layers of a neural network as its values lie between -1 to 1

P=1, if P>0

P=-1, if P<0

P=0, if P=0

Here, the value of P is -0.05(<0), so the output is -1

∴ Hence the correct answer is -1.