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September 2023 term · Machine Learning Foundations · BSCS2004

MLF End Term: 24 December 2023, Set ADD3 (September 2023 term)

The IIT Madras BS Machine Learning Foundations (MLF) End Term paper sat on 24 Dec 2023, in the September 2023 term, set ADD3: 15 questions for 40 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
15
Marks
40
Duration
180 min
Numerical
5
MCQ
7
MSQ
3
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA FN EXAM FDD1 24 Dec 2023 · No negative marking.

Question 1

+3 marksNumerical answer

Consider an encoder-decoder pair used for dimensionality reduction, where the encoder function is denoted as f(x1,x2,x3)=(x1+x2+x3)/3f(x_1, x_2, x_3) = (x_1 + x_2 + x_3)/3 and the decoder function is denoted as g(u)=[u    u2    u]g(u) = [u \;\; u^2 \;\; u].

Compute the reconstruction error (R(f,g)=1n∑i=1n∥Xi−g(f(Xi))∥2)\left(R(f, g) = \dfrac{1}{n} \sum\limits_{i=1}^{n} \|X_i - g(f(X_i))\|^2\right) for the following dataset:

X1=[1,2,0],    X2=[−1,1,0],    X3=[1,2,3]X_1 = [1, 2, 0], \;\; X_2 = [-1, 1, 0], \;\; X_3 = [1, 2, 3]

Enter the answer correct to two decimal places.

Show answer

Correct answer: 3.33 (accepted within ±0.02)

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Question 2

+3 marksNumerical answer
Show answer

Correct answer: 0.5

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Question 3

+3 marksNumerical answer
Show answer

Correct answer: 0.485 (accepted within ±0.005)

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Question 4

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

Correct answer

  • A
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Question 5

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

Correct answer

  • B
Question 5 on its own page

Question 6

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

Correct answer

  • A
Question 6 on its own page

Question 7

+4 marksNumerical answer
Show answer

Correct answer: 1

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Question 8

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

Correct answer

  • B
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Question 9

+2 marksOne correct option

Which among the following statements are correct?

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

  • B
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Question 10

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

Correct answer

  • D
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Question 11

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • B
  • D
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Question 12

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • B
  • C
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Question 13

+2 marksOne correct option

Which of the following represents the covariance matrix, C for the given data points?

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

  • C
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Question 14

+2 marksNumerical answer

What is the value of the projected variance?

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Correct answer: 1

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Question 15

+2 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • B
Question 15 on its own page