Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Mathematical Foundations of Generative AI
RL for LMs: policy gradient & PPO
Official Paper
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
End Term · 31 Aug 2025 (FN)End Term
- Q1MCQ5 Marks·Choose one option

- A2.62
- B2.00
- C2.81
- D1.90
- Q2MCQ5 Marks·Choose one option
An AR-LM can be viewed as an MDP by
- AState = token prefix, action = next token
- BState = next token, action = prefix
- CState = vocabulary, action = logits
- DImpossible
- Q3MCQ5 Marks·Choose one option

- A0.600
- B0.750
- C0.500
- D0.300
End Term · 31 Aug 2025 (AN)End Term
- Q4MCQ5 Marks·Choose one option

- A

- B

- C

- D

- A
- Q5MCQ5 Marks·Choose one option

- A−0.85
- B−0.80
- C−0.20
- D−1.00
- Q6MCQ5 Marks·Choose one option

- A

- B

- C

- D

- A