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

Course Name: INTRODUCTION TO MACHINE LEARNING

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

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

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

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

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

Q8. Belief propagation is used for
a. Calculating map estimate
b. Calculating joint probability
c. Calculating conditional marginal
d. None of the above

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

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