# Deep Learning | Week 5

**Course Name: Deep Learning**

**Course Link: Click Here**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q1. The activation function which is not analytically differentiable for all real values of the given input is**

a. Sigmoid

b. Tanh

c. RelU

d. Both a&b

**Answer: c. RelU**

**Q2. 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 non-linear decision boundaries

d. All of the above

**Answer: c. Allows to create non-linear decision boundaries**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q3. What will the output from node a3 in the following neural network setup when the inputs are (x1,x2) = (1,1).The activation function used in each of three nodes a,, a, and a; are zero- thresholdingi.e f(x) = 1if x > 0else 0?**

a. -1

b. 0

c. 1

d. 0.5

**Answer: c. 1**

**Q4. Suppose a neural network has 3 input 3 nodes, x, y, z. There are 2 neurons, Qand F. Q=4x +y and F = Q * z2. What is the gradient of F with respect to x, y and z? Assume, (x, y, z) = (-2, 5, -4).**

a. (64,16, 24)

b. (-24,-4,16)

c. (4,4,-13)

d. (13,13,24)

**Answer: a. (64,16, 24)**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q5. Which of the following properties, if present in an activation function CANNOT be used in a neural network?**

a. The function is periodic

b. The function is monotonic

c. The function is unbounded

d. Bothaandb

**Answer: a. The function is periodic**

**Q6. For a binary classification setting. what if the probability of belonging to class = +1 is 0.67 the probability of belonging to class= -1?**

a. 0

b. 033

c. 0.67*0.33

d 1- (067 * 067)

**Answer: b. 033**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q7. Suppose a fully-connected neural network has a single hidden layer with 10 nodes. The input is represented by a 5D feature vector and the number of classes is 3. Calculate the number of 3 parameters of the network. Consider there are NO bias nodes in the network?**

a. 80

b. 75

c. 78

d. 120

**Answer: c. 78**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q8. 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

c. 3

d. None of the above

**Answer: b. 1**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q9. Suppose the input layer of a fully-connected neural network has 4 nodes. The value of a node in the first hidden layer before applying sigmoid nonlinearity is V. Now, each of the input layer’s nodes are called up by 8 times. What will be the value of that neuron with the updated input layer?**

a. 8v

b. 4v

c. 32v

d. Remain same since scaling of input layers does not affect the hidden layers

**Answer: c. 32v**

**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

**Q10. Which of the following are potential benefits of using ReLU activation over sigmoid activation?**

a. Relu helps in creating dense (most of the neurons are active) representations

b. Relu helps in creating sparse (most of the neurons are non-active) representations

c. Relu helps in mitigating vanishing gradient effect

d. Both (b) and (c)

**Answer: d. Both (b) and (c)**

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**These are NPTEL Deep Learning Week 5 Assignment 5 Answers**

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