
Deep Learning End Term: 13 September 2026, Set S2 (May 2026 term)
The IIT Madras BS Deep Learning (Deep Learning) End Term paper sat on 13 Sept 2026, in the May 2026 term, set S2: 20 questions for 50 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 20
- 50
- 180 min
- 13
- 5
- 2
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Correct answer: -0.1
Question 2
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Correct answer: 3
Question 3
Suppose we want to minimize the following function:
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Correct answer: -0.6 (accepted within ±0.02)
Question 4
Suppose we want to minimize the following function:
Both coordinates diverge equally.
Neither; both converge at the same rate.
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Correct answer
Question 5
Suppose we want to minimize the following function:
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Correct answer: 0.104 (accepted within ±0.003)
Question 6
Suppose we want to minimize the following function:
How does AdaGrad address the behavior observed with vanilla gradient descent?
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Correct answer
Question 7
Adding more hidden layers with identity activations increases the representational capacity beyond that of a single-layer linear model.
Replacing the identity activation with a nonlinear function such as sigmoid enables the network to learn nonlinear decision boundaries.
With identity activations, the network can still learn arbitrary decision boundaries provided enough hidden neurons are used.
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Correct answers
Replacing the identity activation with a nonlinear function such as sigmoid enables the network to learn nonlinear decision boundaries.
Question 8
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Correct answer: 1048576
Question 9
How many learnable parameters (including both weights and biases) are used to compute the queries, keys, and values?
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Correct answer
Question 10
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Correct answer: 10000
Question 11
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Correct answer
Question 12
Based on the above data, answer the given subquestions.
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Correct answer: 2
Question 13
Based on the above data, answer the given subquestions.
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Correct answer: 0.486 (accepted within ±0.003)
Question 14
Based on the above data, answer the given subquestions.
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Correct answer: 3.975 (accepted within ±0.025)
Question 15
The decoder's softmax layer has a fixed vocabulary size and therefore cannot generate longer sentences.
Teacher forcing is valid only for source sentences shorter than the maximum training length.
Longer source sentences necessarily require a higher-dimensional one-hot representation, which increases the input noise.
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Correct answer
Question 16
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Correct answer: 1.6265 (accepted within ±0.0035)
Question 17
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Correct answer: 0.785 (accepted within ±0.005)
Question 18
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Correct answer: 3.91 (accepted within ±0.02)
Question 19
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Correct answer: 0
Question 20
Each update uses a gradient estimate with higher variance, while the number of updates per epoch decreases.
Each update uses a gradient estimate with lower variance, while the number of updates per epoch decreases.
The number of parameter updates per epoch increases by a factor of four, leading to faster convergence.
The larger batch size guarantees convergence to a better local minimum.
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Correct answer
Each update uses a gradient estimate with lower variance, while the number of updates per epoch decreases.