# Deep Learning | Week 4

**Course Name: Deep Learning**

**Course Link: Click Here**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q1. A given cost function is of the form J(0) = 202-40+2? What is the weight update rule for gradient descent optimization at step t+1? Consider, a=0.01 to be the learning rate.**

a. 8t+1=0 -0.01 (201)

b. 0+1 = 0 + 0.01 (20)

c. Ot+1=0t (201)

d. 0+1 = 0 0.04(0 – 1)

**Answer: d. 0+1 = 0 0.04(0 – 1)**

**Q2. Which of the following activation function leads to sparse activation maps?**

a. Sigmoid

b. Tanh

c. Linear

d. ReLU

**Answer: d. ReLU**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q3. If yi is the ground truth label for ith training data, p, is the predicted label. For a binary class classification, which of the following is a feasible loss function for training a neural net. C is the number of training data**

a. -E-1 yi log p₁ – E-1(1 – y₁) log(1 – p₁)

b. -E1Y₁ log p₁ – E-₁ yi log(1 – pt) гс

c. E 1 yi log(1 – P₁) – Σ₁(1 – y₁) log(p;)

d. E (1-y₁) log p₁ – E-₁ yi log(1 – p₁)

**Answer: a. -E-1 yi log p₁ – E-1(1 – y₁) log(1 – p₁)**

**Q4. Which logic function cannot be performed using a single-layered Neural Network?**

a. AND

b. OR

c. XOR

d. All

**Answer: c. XOR**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q5. Which of the following options closely relate to the following graph? Green cross are the samples of Class-A while mustard rings are samples of Class-B and the red line is the separating line between the two class.**

a. High Bias

b. Zero Bias

c. Zero Bias and High Variance

d. Zero Bias and Zero Variance

**Answer: a. High Bias**

**Q6. Which of the following statement is true?**

a. L2 regularization lead to sparse activation maps

b. L1 regularization lead to sparse activation maps

c. Some of the weights are squashed to zero in L2 regularization

d. L2 regularization is also known as Lasso

**Answer: b. L1 regularization lead to sparse activation maps**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q7. Which among the following options give the range for a tanh function?**

a. -1 to 1

b. -1 to 0

c. 0 to 1

d. 0 to infinity

**Answer: a. -1 to 1**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q8. Consider the following neural network shown in the figure with inputs x1, x2 and output Y. The inputs take the values x₁, x₁ € {0,1}. The logical operation performed by the network is**

a. AND

b. OR

c. XOR

d. NOR

**Answer: d. NOR**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q9. When is gradient descent algorithm certain to find a global minima?**

a. For convex cost plot

b. For concave cost plot

c. For union of 2 convex cost plot

d. For union of 2 concave cost plot

**Answer: a. For convex cost plot**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

**Q10. Let X=[-1, 0, 3, 5] be the the input of ith layer of a neural network. On this, we want to apply softmax function. What should be the output of it?**

a. [0.368, 1, 20.09, 148.41]

b. [0.002, 0.006, 0.118,0.874]

c. [0.3, 0.05,0.6,0.05]

d. [0.04,0,0.06,0.9]

**Answer: b. [0.002, 0.006, 0.118,0.874]**

**These are NPTEL Deep Learning Week 4 Assignment 4 Answers**

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