Quiz Space

Machine Learning Techniques · Quiz 1 · 29 Oct 2023 · September 2023 term

Question 10: Let’s assume that (3, 3), (10, 10), and (12, 12) are the…

Question 10

+4 marksOne correct option

A k-means++ algorithm with k= 3 was applied to the following 2D points:
(2, 2), (3, 3), (4, 4), (10, 10), (12, 12), (13, 13)
(2, 2) is chosen as the first cluster mean.
Based on the above data, answer the given subquestions.

Let’s assume that (3, 3), (10, 10), and (12, 12) are the cluster means. You introduce a new data point, (−5, 10). Which cluster mean is the data point (−5, 10) closest to when using the Euclidean distance method?

  1. A

    (3, 3)

  2. B

    (10, 10)

  3. C

    (12, 12)

  4. D

    None of these

Show answer

Correct answer

  • B

    (10, 10)

Question 10 of 13 in the IIT Madras BS Machine Learning Techniques (MLT) Quiz 1 paper sat on 29 Oct 2023, in the September 2023 term (IIT M DIPLOMA AN2 EXAM QPD2 29 Oct 2023). It carries 4 marks.

More questions from this paper

  1. Q1In the K-means algorithm, cluster centroids (\mu_k) are updated at each iteration to minimize the sum of squared distan…
  2. Q2Consider 9 data points x_1, x_2, \ldots, x_9: (2,3),(1,2),(3,1),(5,6),(7,8),(9,9),(6,7),(10,10),(11,11). Suppose we aim…
  3. Q3Which of the following statements are true regarding applying standard PCA on a centered dataset?
  4. Q4Consider a dataset that has 200 data-points, each of which is either a zero or one. The Bernoulli distribution is used …
  5. Q5Figure question
  6. Q6Figure question
  7. Q7Figure question
  8. Q8Suppose you have been given a task of estimating the conversion rate of google click of new online advertisement campai…
  9. Q9Which point has the highest probability of being chosen as the 2^(nd) cluster mean? Use the Manhattan distance to compu…
  10. Q11Suppose that we have a dataset (data matrix) X \in \mathbb{R}^{dxn}, where d denotes the number of features and n denot…
  11. Q12Suppose that we have a dataset (data matrix) X \in \mathbb{R}^{dxn}, where d denotes the number of features and n denot…
  12. Q13Suppose that we have a dataset (data matrix) X \in \mathbb{R}^{dxn}, where d denotes the number of features and n denot…