### NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9

**These are the solutions of NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9 WEEK 9**

**These are the solutions of NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9 WEEK 9**

Course Name: INTRODUCTION TO MACHINE LEARNING

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**Q1. In the undirected graph given below, which nodes are conditionally independent of each other given B? Select all that apply.**

a. A, D

b. D, E

c. C, D

d. A, F

e. None of the above

**Answer: a. A, D**

**Q2. In the modified undirected graph given below, which nodes are conditionally independent of each other given B? Select all that apply.**

a. C, D

b. D, E

c. E, C

d. A, F

e. None of the above

**Answer: c. E, C**

**These are the solutions of NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9 WEEK 9**

**Q3. In the undirected graph given below, how many terms will be there in its potential function factorization?**

a. 7

b. 3

c. 5

d. 9

e. None of the above

**Answer: b. 3**

**Q4. Which of these can be modeled as a HMM? Select all that apply.**

a. Machine translation

b. Speech recognition

c. Trajectory of a baseball

d. Fibonacci sequence

**Answer: d. Fibonacci sequence**

**These are the solutions of NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9 WEEK 9**

**Q5. HMMs are used for finding these. Select all that apply.**

a. Probability of a given observation sequence

b. All possible hidden state sequences given an observation sequence

c. Most probable observation sequence given the hidden states

d. Most probable hidden states given the observation sequence

**Answer: b. All possible hidden state sequences given an observation sequence**

**Q6. For the given graphical model, what is the optimal variable elimination order when trying to calculate P(E=e)?**

a. A, B, C, D

b. D, C, B, A

c. A, D, B, C

d. D, A, C, A

**Answer: d. D, A, C, A**

**These are the solutions of NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9 WEEK 9**

**Q7. What is the tree width for the GM in previous question?**

a. 5

b. 4

c. 3

d. 2

**Answer: c. 3**

**Q8. Belief propagation is used for**

a. Calculating map estimate

b. Calculating joint probability

c. Calculating conditional marginal

d. None of the above

**Answer: b. Calculating joint probability**

**These are the solutions of NPTEL INTRODUCTION TO MACHINE LEARNING ASSIGNMENT 9 WEEK 9**

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