So sánh phương pháp

	Phân cụm K-Means Chính quy hóa	Mô hình Hỗn hợp Gaussian Chính quy hóa
Lĩnh vực	Học máy	Học máy
Họ	Machine learning	Machine learning
Năm ra đời	2010	2000s–2010s
Người khởi xướng	Witten, D. M. & Tibshirani, R. (sparse k-means formulation)	Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)
Loại	Regularized unsupervised clustering	Probabilistic clustering with regularization
Công trình gốc	Witten, D. M., & Tibshirani, R. (2010). A framework for feature selection in clustering. Journal of the American Statistical Association, 105(490), 713–726.	Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631.
Tên gọi khác	sparse k-means, penalized k-means, regularized clustering, constrained k-means	Regularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMM
Liên quan	2	5
Tóm tắt	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.	A 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.