Question 1
Which of the following optimization algorithms combines Nesterov accelerated gradient with adaptive moment estimation?
NAdam
Adam
RMSprop with momentum
Nesterov accelerated gradient descent

The IIT Madras BS Deep Learning (Deep Learning) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 30 questions for 80 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
Which of the following optimization algorithms combines Nesterov accelerated gradient with adaptive moment estimation?
NAdam
Adam
RMSprop with momentum
Nesterov accelerated gradient descent
Correct answer
NAdam
Which of the following optimization algorithms combines Nesterov accelerated gradient with adaptive moment estimation?
NAdam
Adam
RMSprop with momentum
Nesterov accelerated gradient descent
Correct answer
NAdam
Suppose that we apply Dropout regularization to a feed forward neural network. Suppose further that mini-batch gradient descent algorithm is used for updating the parameters of the network. Choose the correct statement from the following:
This will lead to sparcity in the trained weights.
None of these.
Correct answer
Suppose that we apply Dropout regularization to a feed forward neural network. Suppose further that mini-batch gradient descent algorithm is used for updating the parameters of the network. Choose the correct statement from the following:
This will lead to sparcity in the trained weights.
None of these.
Correct answer
Match the optimization algorithms in Column A with their corresponding properties or characteristics in Column B. Note that an algorithm in Column A may correspond to multiple properties in Column B.
Choose the correct set of mappings:
1-(i), 2-(v), 3-(ii, iii), 4-(iv)
1-(ii), 2-(iv), 3-(iii), 4-(i, v)
1-(ii), 2-(iii), 3-(i, iv), 4-(v)
1-(v), 2-(i), 3-(iv), 4-(ii, iii)
Correct answer
1-(ii), 2-(iii), 3-(i, iv), 4-(v)
Match the optimization algorithms in Column A with their corresponding properties or characteristics in Column B. Note that an algorithm in Column A may correspond to multiple properties in Column B.
Choose the correct set of mappings:
1-(i), 2-(v), 3-(ii, iii), 4-(iv)
1-(ii), 2-(iv), 3-(iii), 4-(i, v)
1-(ii), 2-(iii), 3-(i, iv), 4-(v)
1-(v), 2-(i), 3-(iv), 4-(ii, iii)
Correct answer
1-(ii), 2-(iii), 3-(i, iv), 4-(v)
Consider training a deep neural network for a multi-class classification problem. The output layer uses softmax activation, and the hidden layers use ReLU as an activation function. After a few training iterations, you observe that the weights in the initial hidden layers barely get updated. Which of the following actions could help tackle this issue?
Replace ReLU with Leaky ReLU in the hidden layers.
Replace ReLU by tanh in the hidden layers.
Increasing the number of neurons in the output layer.
Increasing the learning rate.
Correct answers
Replace ReLU with Leaky ReLU in the hidden layers.
Increasing the learning rate.
Consider training a deep neural network for a multi-class classification problem. The output layer uses softmax activation, and the hidden layers use ReLU as an activation function. After a few training iterations, you observe that the weights in the initial hidden layers barely get updated. Which of the following actions could help tackle this issue?
Replace ReLU with Leaky ReLU in the hidden layers.
Replace ReLU by tanh in the hidden layers.
Increasing the number of neurons in the output layer.
Increasing the learning rate.
Correct answers
Replace ReLU with Leaky ReLU in the hidden layers.
Increasing the learning rate.
Consider a simple neural network with a hidden unit with ReLU as an activation function and a linear output unit. The loss used is the squared loss:
.
Correct answers
Consider a simple neural network with a hidden unit with ReLU as an activation function and a linear output unit. The loss used is the squared loss:
.
Correct answers
Correct answer: 0
Correct answer: 0
Correct answer: 0.4
Correct answer: 0.4
. Based on the above data, answer the given subquestions.
Correct answer: 0
. Based on the above data, answer the given subquestions.
Correct answer: 0
. Based on the above data, answer the given subquestions.
Correct answer: 0.0067 (accepted within ±0.0003)
. Based on the above data, answer the given subquestions.
Correct answer: 0.0067 (accepted within ±0.0003)
Consider a neural network with one hidden layer as shown below:
. Based on the above data, answer the given subquestions.
Correct answer: 0.35 (accepted within ±0.02)
Consider a neural network with one hidden layer as shown below:
. Based on the above data, answer the given subquestions.
Correct answer: 0.35 (accepted within ±0.02)
Consider a neural network with one hidden layer as shown below:
. Based on the above data, answer the given subquestions.
Suppose now we introduce an L2 regularization into the loss function. The regularised loss will be
Correct answer: 0.55 (accepted within ±0.02)
Consider a neural network with one hidden layer as shown below:
. Based on the above data, answer the given subquestions.
Suppose now we introduce an L2 regularization into the loss function. The regularised loss will be
Correct answer: 0.55 (accepted within ±0.02)
Consider a neural network with one hidden layer as shown below:
. Based on the above data, answer the given subquestions.
Based on the previous questions 11 and 12, select the correct options from the following:
Gradient updates will be larger in case of regularised loss.
Correct answers
Consider a neural network with one hidden layer as shown below:
. Based on the above data, answer the given subquestions.
Based on the previous questions 11 and 12, select the correct options from the following:
Gradient updates will be larger in case of regularised loss.
Correct answers
Based on the above data, answer the given subquestions.
Calculate the total number of learnable parameters in Module A.
Correct answer: 40960
Based on the above data, answer the given subquestions.
Calculate the total number of learnable parameters in Module A.
Correct answer: 40960
Based on the above data, answer the given subquestions.
Calculate the total number of learnable parameters in Module B.
Correct answer: 151552
Based on the above data, answer the given subquestions.
Calculate the total number of learnable parameters in Module B.
Correct answer: 151552
Based on the above data, answer the given subquestions.
It increases the spatial resolution of the feature map.
It allows the network to learn parallel features at different scales.
It is only used to add non-linearity and does not affect the parameter count.
Correct answer
Based on the above data, answer the given subquestions.
It increases the spatial resolution of the feature map.
It allows the network to learn parallel features at different scales.
It is only used to add non-linearity and does not affect the parameter count.
Correct answer