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Maths for GenAI · BiGAN, domain adaptation & FID

8 questions · 21 marks · 2 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Mathematical Foundations of Generative AI

BiGAN, domain adaptation & FID

Official Paper

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.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Q1MCQ2 Marks·Choose one option
Key ↓
1. A−0.8008
2. B−0.6432
3. C−1.1412
4. D−0.4794
Q2MCQ2 Marks·Choose one option
Key ↓
1. A0.22
2. B0.28
3. C0.34
4. D0.41
Q3MCQ2 Marks·Choose one option
Key ↓
1. AThe first term measures bias shift; the second term measures covariance mismatch.
2. BBoth terms measure covariance only.
3. CBoth terms are dominated by the generator’s variance.
4. DThe first term measures variance difference; the second measures mean shift.
Q4MCQ2 Marks·Choose one option
Key ↓
FID compares real and generated image distributions by assuming they follow multivariate Gaussian distributions in a feature space extracted from a pretrained neural network. Which layer’s activations are typically used to compute this feature space in practice?
1. AThe output logits of the generator
2. BRaw RGB pixel values
3. CThe first convolution layer of the discriminator
4. DThe penultimate layer of an Inception-v3 network
Q5MCQ2 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q6MCQ3 Marks·Choose one option
Key ↓
1. A[−2.1, 0.4]
2. B[−2.2, −4.3]
3. C[0.2, 0.1]
4. D[0, 0]
Q7MSQ4 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D

End Term · 31 Aug 2025 (FN)End Term

Q8MCQ4 Marks·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1A

Q2C

Q3A

Q4D

Q5B

Q6C

Q7A, B, D

Q8B

Questions and answer keys are reproduced from the official IIT Madras BS papers. Topics and repeated question types are BTechi’s own grouping. BTechi is not affiliated with IIT Madras.