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| Inersia× | Indeks Davies-Bouldin× | Indeks Dunn× | Metode Siku× | |
|---|---|---|---|---|
| Bidang | Evaluasi Model | Evaluasi Model | Evaluasi Model | Evaluasi Model |
| Keluarga | MCDM | MCDM | MCDM | MCDM |
| Tahun asal≠ | 1967 | 1979 | 1974 | 1953 |
| Pencetus≠ | Stuart Lloyd, James MacQueen | David L. Davies, Donald W. Bouldin | Joseph C. Dunn | Robert Thorndike |
| Tipe≠ | Clustering quality metric | Cluster quality metric | Cluster quality metric | Heuristic optimization criterion |
| Sumber perintis≠ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129-137. DOI ↗ | Davies, D. L., & Bouldin, D. W. (1979). A cluster separation measure. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1(2), 224-227. DOI ↗ | Dunn, J. C. (1974). Well-separated clusters and optimal fuzzy partitions. Journal of Cybernetics, 4(1), 95-104. DOI ↗ | Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. link ↗ |
| Alias≠ | WCSS, within-cluster sum of squares, cluster cohesion | DBI, Davies Bouldin index | Dunn's index, separation coefficient | elbow analysis, knee detection |
| Terkait | 5 | 5 | 5 | 5 |
| Ringkasan≠ | Inertia, also called Within-Cluster Sum of Squares (WCSS), is a measure of cluster cohesion that quantifies how tightly points are grouped around their cluster centroids. Lower values indicate more compact, cohesive clusters. Inertia is the primary objective function for k-means clustering and has been a fundamental metric since the method's introduction. | The Davies-Bouldin Index, introduced by Davies and Bouldin in 1979, is a metric for evaluating clustering quality based on the average similarity between each cluster and its most similar neighboring cluster. Lower values indicate better clustering, with a minimum of 0 representing perfectly separated, non-overlapping clusters. | The Dunn Index, introduced by Joseph C. Dunn in 1974, is a metric that captures cluster quality by measuring the ratio of the minimum between-cluster distance to the maximum within-cluster diameter. Higher values indicate well-separated and compact clusters, with better clustering quality. | The Elbow Method is a heuristic for selecting the optimal number of clusters in partitional clustering. Introduced by Robert Thorndike in 1953, it involves fitting clustering models for increasing numbers of clusters and plotting the within-cluster sum of squares (WCSS) against the number of clusters. The 'elbow' occurs where the rate of WCSS decrease sharply changes, suggesting an optimal cluster count. |
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