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Machine Learning Techniques · Quiz 1 · 7 Jul 2024 · May 2024 term

Question 11: Consider the following dataset of six points in \mathbb{…

Question 11

+2 marksNumerical answer

Consider the following dataset of six points in R2\mathbb{R}^2:

xxyy
−1-1−4-4
56
−2-2−2-2
45
−3-3−3-3
34

K-means clustering is run on this dataset with k=2k = 2. In this version, the means are initialized first. The mean of the first cluster is initialized to (−4,−4)(-4, -4) and the mean of the second cluster is initialized to (6,6)(6, 6).

Based on the above data, answer the given subquestions.

If (x1, y1) is the mean of the first cluster after convergence, find the value of x1 + y1.

Show answer

Correct answer: -5

Question 11 of 16 in the IIT Madras BS Machine Learning Techniques (MLT) Quiz 1 paper sat on 7 Jul 2024, in the May 2024 term (IIT M DIPLOMA AN EXAM QDD2 7 July 2024). It carries 2 marks.

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