Methoden vergleichen

	Regularisierte K-Means-Clusterbildung	Regularized Gaussian Mixture Model
Fachgebiet	Maschinelles Lernen	Maschinelles Lernen
Familie	Machine learning	Machine learning
Entstehungsjahr	2010	2000s–2010s
Urheber	Witten, D. M. & Tibshirani, R. (sparse k-means formulation)	Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)
Typ	Regularized unsupervised clustering	Probabilistic clustering with regularization
Wegweisende Quelle	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.
Aliasnamen	sparse k-means, penalized k-means, regularized clustering, constrained k-means	Regularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMM
Verwandt	2	5
Zusammenfassung	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.