GATE DA 2024 Set 1 — Question 42
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Machine Learning → Clustering → Single & Multiple Linkage
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Question
Consider the table below, where the element of the table is the distance between points and . Single linkage clustering is performed on data points, .
Which ONE of the following is the correct representation of the clusters produced?
| 0 | 1 | 4 | 3 | 6 | |
| 1 | 0 | 3 | 5 | 3 | |
| 4 | 3 | 0 | 2 | 5 | |
| 3 | 5 | 2 | 0 | 1 | |
| 6 | 3 | 5 | 1 | 0 |
Correct answer
(A) [figure]
Solution
Single linkage clustering merges clusters based on the minimum distance between any two points in the clusters.
1.Iteration 1: Find the minimum distance in the matrix (excluding 0). The minimum distance is 1, between and .
- Merge and into cluster .
- Merge and into cluster .
- Remaining point: .
- .
- .
- .
- The minimum is 2, between and . Merge into . New cluster .
- The distance is 3 (calculated above).
- join first.
- join first.
- joins the group.
- Finally, the group joins the group.
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