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岭回归(Ridge Regression)×弹性网络 (Elastic Net)×逻辑回归×主成分分析×
领域机器学习机器学习研究统计学机器学习
方法族Machine learningMachine learningProcess / pipelineMachine learning
起源年份1970200519582002
提出者Hoerl, A.E. & Kennard, R.W.Zou, H. & Hastie, T.David Roxbee CoxJolliffe, I.T. (textbook); Pearson & Hotelling (origins)
类型L2-regularized linear regressionRegularized linear regression (L1 + L2 penalty)MethodUnsupervised dimensionality reduction
开创性文献Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗Zou, H. & Hastie, T. (2005). Regularization and Variable Selection via the Elastic Net. Journal of the Royal Statistical Society: Series B, 67(2), 301–320. DOI ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗
别名Ridge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularizationElastic Net Regresyon, elastic net regression, ElasticNet, L1/L2 regularized regressionlogit model, binomial logistic regression, LRTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
相关4433
摘要Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated.Elastic Net is a regularized linear regression method introduced by Zou and Hastie in 2005 that blends the LASSO (L1) and Ridge (L2) penalties, so it performs variable selection and coefficient shrinkage at the same time. It is designed for predictive and explanatory modelling on data with many, possibly correlated, predictors.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.
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ScholarGate方法对比: Ridge Regression · Elastic Net · Logistic Regression · Principal Component Analysis. 于 2026-06-19 检索自 https://scholargate.app/zh/compare