Comparer des méthodes
Examinez les méthodes sélectionnées côte à côte ; les lignes qui diffèrent sont mises en évidence.
| Spectral Clustering× | DBSCAN× | Regroupement hiérarchique× | Regroupement par K-moyennes× | Analyse en composantes principales× | |
|---|---|---|---|---|---|
| Domaine | Apprentissage automatique | Apprentissage automatique | Apprentissage automatique | Apprentissage automatique | Apprentissage automatique |
| Famille | Machine learning | Machine learning | Machine learning | Machine learning | Machine learning |
| Année d'origine≠ | 2002 | 1996 | 1963 | 1967 (formalized 1982) | 2002 |
| Auteur d'origine≠ | Ng, A. Y.; Jordan, M. I.; Weiss, Y. | Ester, M., Kriegel, H.-P., Sander, J. & Xu, X. | Ward, J. H. | MacQueen, J. B.; Lloyd, S. P. | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| Type≠ | Graph-based clustering (spectral method) | Density-based clustering algorithm | Unsupervised clustering (agglomerative) | Partitional clustering | Unsupervised dimensionality reduction |
| Source fondatrice≠ | Ng, A. Y., Jordan, M. I., & Weiss, Y. (2002). On Spectral Clustering: Analysis and an Algorithm. Advances in Neural Information Processing Systems, 14, 849–856. link ↗ | Ester, M., Kriegel, H.-P., Sander, J. & Xu, X. (1996). A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise. Proceedings of the 2nd KDD, 226–231. link ↗ | Ward, J. H. (1963). Hierarchical Grouping to Optimize an Objective Function. Journal of the American Statistical Association, 58(301), 236–244. DOI ↗ | Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129–137. DOI ↗ | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| Alias≠ | NJW spectral clustering, graph Laplacian clustering, normalized spectral clustering, spectral graph clustering | DBSCAN Kümeleme, density-based clustering, density-based spatial clustering | Hiyerarşik Kümeleme, hiyerarşik kümeleme, agglomerative clustering, hierarchical agglomerative clustering | k-means clustering, Lloyd's algorithm, k-means partitioning, hard k-means | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| Apparentées≠ | 5 | 3 | 4 | 4 | 3 |
| Résumé≠ | Spectral Clustering is a graph-based unsupervised learning algorithm, formalized by Ng, Jordan, and Weiss in 2002, that maps data points into a low-dimensional eigenspace derived from the similarity graph's Laplacian before applying k-means. This spectral embedding makes it possible to recover clusters of arbitrary shape — rings, crescents, interleaved spirals — that Euclidean distance-based methods consistently fail to separate. | DBSCAN is a density-based clustering algorithm, introduced by Ester, Kriegel, Sander and Xu in 1996, that groups together points lying in dense regions and flags points in sparse regions as noise. It is effective on noisy data and on clusters of irregular, non-spherical shapes. | Hierarchical clustering is an unsupervised method that groups observations into nested clusters and draws the result as a dendrogram, so the number of clusters need not be fixed in advance. Its agglomerative form rests on the objective-function grouping criterion introduced by Joe Ward in 1963. | K-means is a classic unsupervised partitional clustering algorithm that divides a dataset into K non-overlapping groups by iteratively assigning each observation to its nearest centroid and updating centroids as the mean of their assigned points. It is one of the most widely used exploratory tools in machine learning and data analysis. | Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures. |
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