Given the linkage matrix Z = [[0, 1, 0.3, 2], [2, 3, 1.2, 2], [4, 5, 2.1, 4]], what is the output of fcluster(Z, t=1.0, criterion='distance')?

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SciPy - Clustering and Distance

Given the linkage matrix Z = [[0, 1, 0.3, 2], [2, 3, 1.2, 2], [4, 5, 2.1, 4]], what is the output of fcluster(Z, t=1.0, criterion='distance')?

A[1 2 2 3]

B[1 1 2 2]

C[1 1 1 1]

D[2 2 3 3]

Step-by-Step Solution

Solution:

Step 1: Understand the linkage matrix
The matrix shows merges with distances: 0.3, 1.2, and 2.1.
Step 2: Apply distance threshold t=1.0
Clusters merge if their linkage distance is ≤ 1.0. The first merge (0.3) merges points 0 and 1.
Step 3: Assign cluster labels
Points 0 and 1 are cluster 1; points 2 and 3 remain separate clusters since their merge distances exceed 1.0.
Final Answer:
[1 1 2 2] -> Option B
Quick Check:
Clusters split at distance 1.0 [OK]

Quick Trick: Clusters merge only if linkage distance ≤ threshold [OK]

Common Mistakes:

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