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Measuring Clustering Quality: Extrinsic Methods
- Clustering quality measure: Q(C, Cg), for a clustering C given the ground truth Cg.
- Q is good if it satisfies the following 4 essential criteria
- Cluster homogeneity: the purer, the better
- Cluster completeness: should assign objects belong to the same category in the ground truth to the same cluster
- Rag bag: putting a heterogeneous object into a pure cluster should be penalized more than putting it into a rag bag (i.e., “miscellaneous” or “other” category)
- Small cluster preservation: splitting a small category into pieces is more harmful than splitting a large category into pieces
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