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May 2024 term · Machine Learning Techniques · BSCS2007

MLT End Term: 1 September 2024, Set QDF1 (May 2024 term)

The IIT Madras BS Machine Learning Techniques (MLT) End Term paper sat on 1 Sept 2024, in the May 2024 term, set QDF1: 30 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.

Questions
30
Marks
50
Duration
180 min
MCQ
13
Numerical
14
MSQ
3

Updated

Official paper: IIT M FOUNDATION DIPLOMA AN EXAM QDF3 01 Sep 2024 · No negative marking.

Question 1

+3 marksOne correct option
  1. A

    80%

  2. B

    60%

  3. C

    20%

  4. D

    15%

Show answer

Correct answer

  • A

    80%

Question 2

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 3

+3 marksOne correct option

Match the characteristics given below with the appropriate ensemble technique.
1. Decision stumps
2. Deep decision trees
3. Parallel execution
4. Sequential execution

  1. A

    Bagging → (2), (3); Boosting → (1), (4)

  2. B

    Bagging → (1), (4); Boosting → (2), (3)

  3. C

    Bagging → (1), (3); Boosting → (2), (4)

  4. D

    Bagging → (2), (4); Boosting → (1), (3)

Show answer

Correct answer

  • A

    Bagging → (2), (3); Boosting → (1), (4)

Question 4

+3 marksOne correct option
  1. A

    The predicted labels for x1 and x2 are 1 and −1 respectively.

  2. B

    The predicted labels for x1 and x2 are −1 and 1 respectively.

  3. C

    The predicted label for both data-points is 1.

  4. D

    The predicted label for both data-points is −1.

Show answer

Correct answer

  • A

    The predicted labels for x1 and x2 are 1 and −1 respectively.

Question 5

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 6

+3 marksOne correct option
  1. A

    2x1 + x2 = 0

  2. B

    x1 − 2x2 = 0

  3. C

    x1 + x2 = 0

  4. D

    x1 + 2x2 = 0

Show answer

Correct answer

  • A

    2x1 + x2 = 0

Question 7

+3 marksNumerical answer
Show answer

Correct answer: 0.4

Question 8

+3 marksNumerical answer
Show answer

Correct answer: 30

Question 9

+3 marksNumerical answer
Show answer

Correct answer: 0.315 (accepted within ±0.055)

Question 10

+3 marksOne or more correct options

Select all that apply.

  1. A

    2

  2. B

    4

  3. C

    3

  4. D

    5

Show answer

Correct answers

  • A

    2

  • B

    4

Question 11

+3 marksOne or more correct options

Select all that apply.

  1. A

    The dataset is linearly separable with a positive margin.

  2. B

    The perceptron algorithm will terminate after a finite number of iterations when trained on this dataset.

  3. C

    The dataset is linearly separable, but the margin may be zero.

  4. D

    The dataset is not linearly separable.

Show answer

Correct answers

  • A

    The dataset is linearly separable with a positive margin.

  • B

    The perceptron algorithm will terminate after a finite number of iterations when trained on this dataset.

Question 12

+3 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • B

Question 13

+1 markOne correct option

Based on the above data, answer the given subquestions.

The weight vector output by the perceptron algorithm on this dataset can be expressed as a linear combination of the data-points where the coefficients of the linear combination are integers.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 14

+1 markOne correct option

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 15

+1 markOne correct option

Based on the above data, answer the given subquestions.

If a soft-margin SVM is trained on this dataset, the optimal weight vector it returns will be the same as the one returned by a hard-margin SVM, irrespective of the value of the hyperparameter C.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 16

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 2

Question 17

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1

Question 18

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0

Question 19

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 3

Question 20

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0

Question 21

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: -1

Question 22

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 3

Question 23

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 2

Question 24

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 4

Question 25

+0.5 marksNumerical answer

Based on the above data, answer the given subquestions.

Enter the number corresponding to the squared loss._______________

Show answer

Correct answer: 1

Question 26

+1 markOne correct option

Based on the above data, answer the given subquestions.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 27

+1 markNumerical answer

Consider the following architecture of a neural network for a binary classification problem:

Layer typeNumber of neurons
Input5
Hidden layer-110
Hidden layer-210
Output1

Based on the above data, answer the given subquestions.

How many learnable parameters does this network have? Ignore the biases in the computation.

Show answer

Correct answer: 160

Question 28

+1 markOne correct option

Consider the following architecture of a neural network for a binary classification problem:

Layer typeNumber of neurons
Input5
Hidden layer-110
Hidden layer-210
Output1

Based on the above data, answer the given subquestions.

What is the most appropriate choice of activation function for the output layer if the binary cross- entropy loss is used?

  1. A

    Sigmoid

  2. B

    Linear

  3. C

    ReLU

Show answer

Correct answer

  • A

    Sigmoid

Question 29

+1 markOne correct option

Consider the following architecture of a neural network for a binary classification problem:

Layer typeNumber of neurons
Input5
Hidden layer-110
Hidden layer-210
Output1

Based on the above data, answer the given subquestions.

For a particular data-point, the activations after the first hidden layer in the forward pass is given to be [0.20.11.50.30.100.81.210]T\begin{bmatrix} 0.2 & 0.1 & 1.5 & 0.3 & 0.1 & 0 & 0.8 & 1.2 & 1 & 0 \end{bmatrix}^T.

What is the activation function used in the first hidden layer?

  1. A

    ReLU

  2. B

    Sigmoid

Show answer

Correct answer

  • A

    ReLU

Question 30

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A