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正则化支持向量机×正则化线性回归×
领域机器学习机器学习
方法族Machine learningMachine learning
起源年份1995–20041970–2005
提出者Cortes, C. & Vapnik, V. (soft-margin SVM); Zhu et al. (L1-SVM)Hoerl & Kennard (Ridge, 1970); Tibshirani (Lasso, 1996); Zou & Hastie (Elastic Net, 2005)
类型Regularized discriminative classifier / regressorPenalized linear model
开创性文献Cortes, C. & Vapnik, V. (1995). Support-vector networks. Machine Learning, 20(3), 273–297. DOI ↗Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗
别名Regularized SVM, L1-SVM, L2-SVM, penalized SVMRidge regression, Lasso regression, Elastic Net regression, penalized regression
相关44
摘要Regularized Support Vector Machine extends the classic SVM by explicitly controlling the trade-off between margin maximization and training error through an L1 or L2 penalty parameter. The soft-margin formulation introduced by Cortes and Vapnik in 1995 is itself a regularized model, and later L1-SVM variants additionally promote feature sparsity, enabling automatic variable selection in high-dimensional settings.Regularized linear regression adds a penalty term to the ordinary least-squares objective, shrinking or zeroing out coefficients to reduce overfitting and handle multicollinearity. The three main variants — Ridge (L2 penalty), Lasso (L1 penalty), and Elastic Net (combined L1+L2) — make linear regression usable even when features outnumber observations or predictors are highly correlated.
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ScholarGate方法对比: Regularized Support Vector Machine · Regularized linear regression. 于 2026-06-15 检索自 https://scholargate.app/zh/compare