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| Quán tính× | Chỉ số Dunn× | Phương pháp Elbow× | |
|---|---|---|---|
| Lĩnh vực | Đánh giá mô hình | Đánh giá mô hình | Đánh giá mô hình |
| Họ | MCDM | MCDM | MCDM |
| Năm ra đời≠ | 1967 | 1974 | 1953 |
| Người khởi xướng≠ | Stuart Lloyd, James MacQueen | Joseph C. Dunn | Robert Thorndike |
| Loại≠ | Clustering quality metric | Cluster quality metric | Heuristic optimization criterion |
| Công trình gốc≠ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129-137. 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 ↗ |
| Tên gọi khác≠ | WCSS, within-cluster sum of squares, cluster cohesion | Dunn's index, separation coefficient | elbow analysis, knee detection |
| Liên quan | 5 | 5 | 5 |
| Tóm tắt≠ | 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 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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