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IIT M FOUNDATION DIPLOMA FN EXAM QDF2 28 Apr 2024 - 28 Apr 2024

MLT End Term16 questions50 marks6 SA · 6 MSQ · 4 MCQFoundation / Diploma / forenoon / QDF2
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Consider a dataset with two features (Feature 1 and Feature 2) exhibiting a perfect positive correlation (1). If you apply k-means clustering with k = 3, what is the most likely arrangement of cluster centers that minimizes the within-cluster sum of squares (WCSS)?
  1. An equilateral triangle centered around the mean of the data.
  2. Cluster centers positioned along a straight line.
  3. A triangle with two acute angles, positioned strategically within the datadistribution.
  4. A right-angled triangle with one center at the origin.
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  1. Model 1
  2. Model 2
  3. Both models are equally sensitive to outliers
  4. Insufficient data
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  1. 1
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  4. It oscillates and never converges
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Which of the following are true about the kernel function? Assume that the dataset X is mean centered.
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  1. Points {F, I} are the only support vectors.
  2. Points {A, N} are a subset of support vectors.
  3. Points {F, A, C, I} are the only support vectors.
  4. Points except {F, A, C, I, N} do not play any role in determining optimal weightvector.
  5. Points except {F, A, C, I} do not play any role in determining optimal weightvector.

Answer key

  1. Q1 (SA, 3 marks): 7
  2. Q2 (SA, 3 marks): 0.80
  3. Q3 (SA, 3 marks): 0.25
  4. Q4 (SA, 3 marks): 0
  5. Q5 (SA, 3 marks): 25
  6. Q6 (SA, 3 marks): 0.70 to 0.80
  7. Q7 (MCQ, 3 marks): B
  8. Q8 (MCQ, 3 marks): B
  9. Q9 (MCQ, 3 marks): A
  10. Q10 (MCQ, 3 marks): B
  11. Q11 (MSQ, 3 marks): A, C
  12. Q12 (MSQ, 3 marks): B, C
  13. Q13 (MSQ, 3 marks): A, B
  14. Q14 (MSQ, 3 marks): A, C
  15. Q15 (MSQ, 4 marks): A, B, D, E
  16. Q16 (MSQ, 4 marks): B, D