方法对比

	正则化高斯混合模型	正则化 K-均值聚类
领域	机器学习	机器学习
方法族	Machine learning	Machine learning
起源年份	2000s–2010s	2010
提出者	Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)	Witten, D. M. & Tibshirani, R. (sparse k-means formulation)
类型	Probabilistic clustering with regularization	Regularized unsupervised clustering
开创性文献	Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631.	Witten, D. M., & Tibshirani, R. (2010). A framework for feature selection in clustering. Journal of the American Statistical Association, 105(490), 713–726.
别名	Regularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMM	sparse k-means, penalized k-means, regularized clustering, constrained k-means
相关	5	2
摘要	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.	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.