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정규화된 가우시안 혼합 모델×정규화 K-평균 군집화×
분야머신러닝머신러닝
계열Machine learningMachine learning
기원 연도2000s–2010s2010
창시자Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)Witten, D. M. & Tibshirani, R. (sparse k-means formulation)
유형Probabilistic clustering with regularizationRegularized unsupervised clustering
원전Fraley, 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 ↗
별칭Regularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMMsparse k-means, penalized k-means, regularized clustering, constrained k-means
관련52
요약A 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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