do not copy and paste copy and paste answers will be downvoted and reported consider the followi

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Question

Consider the following neural network with weights w for the edges and offset b for the nodes: b = -0.3 W1 = 0.4 W2 = 0.6 W3 = 2.0 b3 = 0.0 b4 = 0.4 W4 = -0.7 W5 = 1.0 W6 = -0.5 Assume that the outputs of nodes Y3, Y4, and Y5 are based on rectified linear functions: Y3 = max(0, x * W1 + b3) Y4 = max(0, x * W2 + b4) Y5 = max(0, Y3 * W4 + Y4 * W5 + b6) For the following problems, consider input values X1 = 1 and X2 = 1: a) What is the value of Y3 for this input? (5 points) (b) What is the value of Y4 for this input? (5 points) (c) What is the value of Y5 for this input? (6 points) Assuming the desired output is 0.6 and the squared loss function, loss(Y5, 0.6) = (Y5 - 0.6)^2, is used: (d) What is the gradient of this loss for this example with respect to b6? (8 points) (e) What is the gradient of this loss for this example with respect to W1? (8 points) (f) What is the gradient of this loss for this example with respect to W4? (8 points)

          Consider the following neural network with weights w for the edges and offset b for the nodes:
b = -0.3
W1 = 0.4    W2 = 0.6
W3 = 2.0    b3 = 0.0
b4 = 0.4    W4 = -0.7    W5 = 1.0    W6 = -0.5

Assume that the outputs of nodes Y3, Y4, and Y5 are based on rectified linear functions:
Y3 = max(0, x * W1 + b3)
Y4 = max(0, x * W2 + b4)
Y5 = max(0, Y3 * W4 + Y4 * W5 + b6)

For the following problems, consider input values X1 = 1 and X2 = 1:

a) What is the value of Y3 for this input? (5 points)
(b) What is the value of Y4 for this input? (5 points)
(c) What is the value of Y5 for this input? (6 points)

Assuming the desired output is 0.6 and the squared loss function, loss(Y5, 0.6) = (Y5 - 0.6)^2, is used:
(d) What is the gradient of this loss for this example with respect to b6? (8 points)
(e) What is the gradient of this loss for this example with respect to W1? (8 points)
(f) What is the gradient of this loss for this example with respect to W4? (8 points)

do not copy and paste copy and paste answers will be downvoted and reported consider the following neural network with weights w for the edges and offset b for the nodes b 03 w04 x1 w06 was 17994

Added by Christopher J.

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