Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Foundations
End Term · 13 Apr 2025 (Forenoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
- Q1MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q2MSQ3 Marks·Choose all correct options
Which of the following is true about the singular value decomposition (SVD)?
- A

- B

- C

- D

- A
- Q3MSQ3 Marks·Choose all correct options
In the context of Principal Component Analysis (PCA), which of the following statements is/are correct?
- APCA projects the original data onto a lower-dimensional subspace that captures the maximum variance.
- BThe eigenvectors of the covariance matrix correspond to the directions of maximum variance.
- CThe principal components form a basis that is not necessarily orthogonal.
- DThe principal components obtained through PCA are always uncorrelated.
- Q4MSQ3 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q5MSQ3 Marks·Choose all correct options
Which of the following statements about convex sets are true?
- A

- B

- C

- D

- A
- Q6MSQ3 Marks·Choose all correct options
Which of the following options is / are true ?
- A

- B

- C

- D

- A
- Q7MSQ4 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q8NAT3 Marks·Write the number
Your answer: - Q9NAT3 Marks·Write the number
Your answer: - Q10NAT2 Marks·Write the number
Your answer: - Q11NAT2 Marks·Write the number
Your answer: Read the passage below, then answer Q12–Q14

Based on the above data, answer the given subquestions.
Q12MSQ2 Marks·Choose all correct optionsWhich of the following statements correctly represents the Karush-Kuhn-Tucker (KKT) conditions for the given optimization problem?
- A

- B

- C

- D

- A
- Q13MSQ3 Marks·Choose all correct options
Which of the following statements are correct based on the KKT conditions and the solution to the optimization problem?
- A

- B

- C

- D

- A
- Q14NAT3 Marks·Write the number
Your answer: