Quiz Space

September 2023 term · Machine Learning Foundations · BSCS2004

MLF Quiz 1: 29 October 2023 (September 2023 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 29 Oct 2023, in the September 2023 term: 15 questions for 40 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
40
Duration
120 min
MSQ
3
MCQ
7
Numerical
5
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN2 EXAM QPD2 29 Oct 2023 · No negative marking.

Question 1

+2 marksOne or more correct options

Which of the following is/are supervised learning task(s)?

Select all that apply.

  1. A

    Predicting future weather conditions based on the past weather observations.

  2. B

    Reducing the dimensionality of images while retaining essential features, enabling efficient storage and transmission.

  3. C

    Identifying objects in images with multiple categories, such as cats, dogs, cars, and trees.

  4. D

    Categorizing news articles into topics like politics, sports, entertainment, and technology.

Show answer

Correct answers

  • A

    Predicting future weather conditions based on the past weather observations.

  • C

    Identifying objects in images with multiple categories, such as cats, dogs, cars, and trees.

  • D

    Categorizing news articles into topics like politics, sports, entertainment, and technology.

Question 1 on its own page

Question 2

+2 marksOne correct option

Consider the following input data points:

Which among the following models has the least misclassification error?

  1. A

    Sign(x1 − 2)

  2. B

    Sign(x2 + 2)

  3. C

    Sign(x1 + x2)

  4. D

    Sign(x2 − x1)

Show answer

Correct answer

  • D

    Sign(x2 − x1)

Question 2 on its own page

Question 3

+2 marksOne correct option
  1. A

    Yes

  2. B

    No

Show answer

Correct answer

  • A

    Yes

Question 3 on its own page

Question 4

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

Correct answer

  • D
Question 4 on its own page

Question 5

+3 marksNumerical answer

Consider a regression model h(x1,x2)=x1+x22h(x_1, x_2) = \dfrac{x_1 + x_2}{2}. For the below input data points, find the mean squared loss of hh. Enter the answer correct to two decimal places.

XXYY
[1, 2]2
[2, 3]3
[3, 4]4
[4, 5]5
Show answer

Correct answer: 0.25

Question 5 on its own page

Question 6

+3 marksNumerical answer
Show answer

Correct answer: 0.25

Question 6 on its own page

Question 7

+3 marksNumerical answer
Show answer

Correct answer: 4.915 (accepted within ±0.035)

Question 7 on its own page

Question 8

+3 marksNumerical answer
Show answer

Correct answer: 22

Question 8 on its own page

Question 9

+3 marksOne or more correct options

Select all that apply.

  1. A

    f is discontinuous at x = 0.

  2. B

    f is differentiable.

  3. C

    f is not differentiable at x = 0.

  4. D

    f'(0) = 0

Show answer

Correct answers

  • B

    f is differentiable.

  • D

    f'(0) = 0

Question 9 on its own page

Question 10

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

Correct answer

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

Correct answer

  • C
Question 12 on its own page

Question 13

+4 marksOne or more correct options

Select the correct options from the following.

Select all that apply.

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

Correct answers

  • C
  • D
Question 13 on its own page

Question 14

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Find the projection of b onto U.

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

Correct answer

  • B
Question 14 on its own page

Question 15

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the length of the error vector e =b − p, where p is the projection of b onto U. Enter the answer correct to two decimal places.

Show answer

Correct answer: 3.74 (accepted within ±0.04)

Question 15 on its own page