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Робастный k-средних×Кластеризация методом k-средних×Спектральная кластеризация×
ОбластьМашинное обучениеМашинное обучениеМашинное обучение
СемействоMachine learningMachine learningMachine learning
Год появления19991967 (formalized 1982)2002
Автор методаGarcia-Escudero, L. A. & Gordaliza, A.MacQueen, J. B.; Lloyd, S. P.Ng, A. Y.; Jordan, M. I.; Weiss, Y.
ТипRobust clustering algorithmPartitional clusteringGraph-based clustering (spectral method)
Основополагающий источникGarcia-Escudero, L. A., & Gordaliza, A. (1999). Robustness properties of k-means and trimmed k-means. Journal of the American Statistical Association, 94(447), 956–969. DOI ↗Lloyd, S. P. (1982). Least squares quantization in PCM. IEEE Transactions on Information Theory, 28(2), 129–137. DOI ↗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 ↗
Другие названияrobust k-means clustering, trimmed k-means, outlier-resistant k-means, RKMk-means clustering, Lloyd's algorithm, k-means partitioning, hard k-meansNJW spectral clustering, graph Laplacian clustering, normalized spectral clustering, spectral graph clustering
Связанные445
СводкаRobust k-means is a variant of classical k-means clustering designed to resist the influence of outliers. By trimming a specified fraction of the most extreme observations before computing cluster centers, it produces stable and meaningful partitions even when the data contain noise, contamination, or heavy-tailed distributions — situations where standard k-means breaks down.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.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.
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ScholarGateСравнение методов: Robust k-means · K-means · Spectral Clustering. Получено 2026-06-20 из https://scholargate.app/ru/compare