Papers › An Internal Validity Index Based on Density-Involved Distance
An Internal Validity Index Based on Density-Involved Distance
Lianyu Hu, Caiming Zhong
It is crucial to evaluate the quality of clustering results in cluster analysis. Although many cluster validity indices (CVIs) have been proposed in the literature, they have some limitations when dealing with non-spherical datasets. One reason is that the measure of cluster separation does not consider the impact of outliers and neighborhood clusters. In this paper, a new robust distance measure, one into which density is incorporated, is designed to solve the problem, and an internal validity index based on this separation measure is then proposed. This index can cope with both the spherical and non-spherical structure of clusters. The experimental results indicate that the proposed index outperforms some classical CVIs. The MATLAB code and experimental data are available at https://github.com/hulianyu/CVDD
Code
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Tasks
Results from the paper archive 2025-07-28
| Task | Dataset | Model | Metric | Value | Rank at snapshot | Leaderboard | Report |
|---|---|---|---|---|---|---|---|
| Clustering Algorithms Evaluation | 97 synthetic datasets | CVDD | HIT-THE-BEST | 50 | #1 of 2 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | 97 synthetic datasets | CVDD | Rank difference | 337 | #1 of 2 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | JAFFE | CVDD | Purity | 0.977 | #1 of 1 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | ionosphere | CVDD | Purity | 0.843 | #1 of 1 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | iris | CVDD | Purity | 0.967 | #1 of 1 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | pathbased | CVDD | Purity | 0.977 | #1 of 1 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | pixraw10P | CVDD | Purity | 0.83 | #1 of 1 | Archive leaderboard | report |
| Clustering Algorithms Evaluation | seeds | CVDD | Purity | 0.905 | #1 of 1 | Archive leaderboard | report |
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