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January 2023 term · Machine Learning Foundations · BSCS2004

MLF Quiz 1: 26 February 2023 (January 2023 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 26 Feb 2023, in the January 2023 term: 15 questions for 50 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.

Questions
15
Marks
50
Duration
120 min
MSQ
5
MCQ
6
Numerical
4
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN2 EXAM QPD2 26 Feb 2023 · No negative marking.

Question 1

+3 marksOne or more correct options

Which of the following is/are true about loss after applying Encoder and Decoder functions to a given data?

Select all that apply.

  1. A

    The loss value can be equal to any real number.

  2. B

    The loss value cannot be negative.

  3. C

    A perfect encoder and decoder function will not exist for any data, that is loss value can never be equal to zero.

  4. D

    For some data, there can exist a perfect encoder and decoder functions, that is loss value can be equal to zero.

Show answer

Correct answers

  • B

    The loss value cannot be negative.

  • D

    For some data, there can exist a perfect encoder and decoder functions, that is loss value can be equal to zero.

Question 1 on its own page

Question 2

+3 marksOne or more correct options

Which of the following statements is/are true?

Select all that apply.

  1. A

    Email spam detection falls under classification problem.

  2. B

    Predicting the price of a house based on previous datasets falls under classificiation problem.

  3. C

    Classifying whether handwriting belongs to a particular person or not based on previous data falls under the classification problem.

  4. D

    Finding out the probability that a particular poem is written by Shakespeare falls under unsupervised learning.

Show answer

Correct answers

  • A

    Email spam detection falls under classification problem.

  • C

    Classifying whether handwriting belongs to a particular person or not based on previous data falls under the classification problem.

  • D

    Finding out the probability that a particular poem is written by Shakespeare falls under unsupervised learning.

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Select all that apply.

  1. A

    The function is differentiable for all the values of x except when x = 0.

  2. B

    The function is differentiable for all the values of x.

  3. C

    The function is continuous at x = 0.

  4. D

    The function is not continuous at x = 0.

Show answer

Correct answers

  • A

    The function is differentiable for all the values of x except when x = 0.

  • D

    The function is not continuous at x = 0.

Question 3 on its own page

Question 4

+4 marksOne or more correct options

Which of the following statements is/are true?

Select all that apply.

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

Correct answers

  • A
  • C
  • D
Question 4 on its own page

Question 5

+4 marksOne or more correct options

Select all that apply.

  1. A

    [1,−2, 2]

  2. B

    [2, 2,−1]

  3. C

    [−2, 1, 0]

  4. D

    [−3, 0, 1]

Show answer

Correct answers

  • C

    [−2, 1, 0]

  • D

    [−3, 0, 1]

Question 5 on its own page

Question 6

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

Correct answer

  • B
Question 6 on its own page

Question 7

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

Correct answer

  • B
Question 7 on its own page

Question 8

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

Correct answer

  • A
Question 8 on its own page

Question 9

+4 marksOne correct option

The characteristic polynomial of a matrix with eigenvalues 1, 2, 3 and 4 is

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

Correct answer

  • A
Question 9 on its own page

Question 10

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

Correct answer

  • A
Question 10 on its own page

Question 11

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

Correct answer

  • A
Question 11 on its own page

Question 12

+3 marksNumerical answer
Show answer

Correct answer: 2

Question 12 on its own page

Question 13

+3 marksNumerical answer

What will be the average misclassification error when the functions g(X)=sign((x1−x2)2−8)g(X) = sign((x_1 - x_2)^2 - 8) is used to classify the data points into classes +1+1 or −1-1. Enter the answer closest to one decimal accuracy.

Xy
(5,2)1
(5,6)-1
(6,3)1
(6,4)-1
(4,8)-1
Show answer

Correct answer: 0.2

Question 13 on its own page

Question 14

+3 marksNumerical answer
Show answer

Correct answer: 6

Question 14 on its own page

Question 15

+2 marksNumerical answer
Show answer

Correct answer: 4

Question 15 on its own page