Finding the output values for an activation function in machine learning. Suppos

Question

Finding the output values for an activation function in machine learning.

Suppose the inputs are given by x 1 and X 2, and the activation functions at each unit is given by the function g. Write out the values 0 5 and o 6 at the output nodes (modes 5 and 6) of figure 1 in terms of the weights W i,J and the inputs x k. In the above figure, nodes 1 and 2 correspond to x 1 and X 2, nodes 5 and 6 correspond to 0 5 and and nodes o G and nodes 3 and 4 correspond to intermediate values (say x 3 and x 4). Recall the activation function is the function used at a unit that takes in the input and outputs the value of this unit. For example, the hard threshold activation g(w, x) = {1 if w x> 0 is used in a perceptron, -1 otherwiese and the logistic activation function is used in a sigmoid unit.

Explanation / Answer

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just simply check for all possiblity for going o5, through node x1 to x2.

I have written answer, if you have any doubt please feel free to ask.

o5 = (x1* ((w13 / (w13 + w14) + w23) + x3) * w35 + (x1* ((w14 / (w13 + w14)) + w24) + x4) * w36

o6 = (x2* ((w23 / (w23 + w24)) + w14) + x4) * w45 + (x2 *((w24 / (w23 + w24)) + w13) + x3) * w46

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