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Κανονικοποιημένο Γκαουσιανό Μοντέλο Μίξης×Συστάδες K-Means με Κανονικοποίηση×
ΠεδίοΜηχανική ΜάθησηΜηχανική Μάθηση
ΟικογένειαMachine learningMachine learning
Έτος προέλευσης2000s–2010s2010
ΔημιουργόςFraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)Witten, D. M. & Tibshirani, R. (sparse k-means formulation)
ΤύποςProbabilistic clustering with regularizationRegularized unsupervised clustering
Θεμελιώδης πηγήFraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631. DOI ↗Witten, D. M., & Tibshirani, R. (2010). A framework for feature selection in clustering. Journal of the American Statistical Association, 105(490), 713–726. DOI ↗
Εναλλακτικές ονομασίεςRegularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMMsparse k-means, penalized k-means, regularized clustering, constrained k-means
Συναφείς52
ΣύνοψηA Regularized Gaussian Mixture Model (GMM) adds a small positive constant to the diagonal of each component covariance matrix during the Expectation-Maximization algorithm, preventing singular or near-singular matrices that cause numerical failures when the data are sparse, high-dimensional, or contain near-duplicate observations.Regularized k-means extends standard k-means by adding a penalty term — most commonly an L1 (lasso-type) or L2 constraint — to the objective function. This discourages degenerate cluster solutions and, in the sparse variant introduced by Witten and Tibshirani (2010), simultaneously selects the features that drive cluster separation, making it especially valuable in high-dimensional settings where many features are irrelevant.
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ScholarGateΣύγκριση μεθόδων: Regularized Gaussian Mixture Model · Regularized k-means. Ανακτήθηκε στις 2026-06-18 από https://scholargate.app/el/compare