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Robust Gaussian Mixture Model×강건 선형 회귀×
분야머신러닝머신러닝
계열Machine learningMachine learning
기원 연도20001964–1987
창시자Peel, D. & McLachlan, G. J.Huber, P. J.; Rousseeuw, P. J.
유형Probabilistic clustering / density estimationOutlier-resistant supervised regression
원전Peel, D. & McLachlan, G. J. (2000). Robust mixture modelling using the t distribution. Statistics and Computing, 10(4), 339–348. DOI ↗Huber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
별칭Robust GMM, mixture of t-distributions, trimmed GMM, heavy-tailed mixture modelrobust regression, M-estimator regression, Huber regression, outlier-resistant regression
관련55
요약Robust Gaussian Mixture Model replaces the standard Gaussian components with heavier-tailed distributions — most commonly Student's t-distributions — or incorporates trimming and down-weighting of outliers within the EM framework. The result is a probabilistic clustering and density-estimation method that assigns genuinely anomalous points less influence on component parameters, preventing outliers from distorting cluster shapes or positions.Robust linear regression fits a linear model between predictors and a continuous outcome while down-weighting or discarding influential outliers, preventing the few anomalous observations that OLS is famously sensitive to from distorting the entire estimated line. Major variants include Huber regression, iteratively reweighted least squares (IRLS), RANSAC, and Theil-Sen estimation.
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