**NPTEL Deep Learning Week 5 Assignment Answers 2024**

1. What is the main benefit of stacking multiple layers of neuron with non-linear activation functions over a single layer perceptron?

a. Reduces complexity of the network

b. Reduce inference time during testing

c. Allows to create complex non-linear decision boundaries

d. All of the above

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2. For a 2-class classification problem, what is the minimum number of nodes required for the output layer of a multi-layered neural network?

a. 2

b. 1

с. 3

d. None of the above

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3.

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4.

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5.

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6.

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7.

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8.

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9. Suppose a neural network has 3 input nodes, x, y, z. There are 2 neurons, Q and F. Q = x + y and F = Q * 2. What is the gradient of F with respect to x, y and z? Assume, (x, y, 2) = (-2, 5, -4).

a. (-4,3, -3)

b. (-4, -4, 3)

c. (4,4, -3)|

d. (3, 3, 4)

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10. Suppose a fully-connected neural network has a single hidden layer with 15 nodes. The input is represented by a 5D feature vector and the number of classes is 3. Calculate the number of parameters of the network. Consider there are NO bias nodes in the network?

a. 225

b. 75

c. 78

d. 120

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