مقایسهٔ روش‌ها

	مدل آمیخته گاوسی منظم شده	خوشه‌بندی کی-مینز منظم‌شده
حوزه	یادگیری ماشین	یادگیری ماشین
خانواده	Machine learning	Machine learning
سال پیدایش	2000s–2010s	2010
پدیدآور	Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)	Witten, D. M. & Tibshirani, R. (sparse k-means formulation)
نوع	Probabilistic clustering with regularization	Regularized unsupervised clustering
منبع بنیادین	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.
نام‌های دیگر	Regularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMM	sparse k-means, penalized k-means, regularized clustering, constrained k-means
مرتبط	5	2
خلاصه	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.