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Robust Ridge Regression×稳健回归×
领域统计学统计学
方法族Regression modelRegression model
起源年份19911964
提出者Silvapulle (1991); building on Tikhonov (1963) and Huber (1964)Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
类型Regularized robust linear regressionRegression with outlier resistance
开创性文献Silvapulle, M. J. (1991). Robust ridge regression based on an M-estimator. Australian Journal of Statistics, 33(3), 319–333. link ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
别名ridge M-estimation, robust regularized regression, M-estimator ridge, outlier-resistant ridge regressionM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
相关56
摘要Robust Ridge regression combines M-estimation with L2 (ridge) regularization to produce coefficient estimates that are simultaneously resistant to outliers and stable under multicollinearity. It minimizes a robust loss function (such as Huber's) penalized by the squared norm of the coefficient vector, downweighting influential observations while shrinking correlated predictors toward zero.Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.
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ScholarGate方法对比: Robust Ridge regression · Robust Regression. 于 2026-06-17 检索自 https://scholargate.app/zh/compare