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رگرسیون لسو×الاستیک نت (Elastic Net)×تحلیل مؤلفه‌های اصلی×رگرسیون ریج (Ridge Regression)×
حوزهیادگیری ماشینیادگیری ماشینیادگیری ماشینیادگیری ماشین
خانوادهMachine learningMachine learningMachine learningMachine learning
سال پیدایش1996200520021970
پدیدآورTibshirani, R.Zou, H. & Hastie, T.Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)Hoerl, A.E. & Kennard, R.W.
نوعRegularized linear regression (L1 penalty)Regularized linear regression (L1 + L2 penalty)Unsupervised dimensionality reductionL2-regularized linear regression
منبع بنیادینTibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. 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 ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
نام‌های دیگرLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationElastic Net Regresyon, elastic net regression, ElasticNet, L1/L2 regularized regressionTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
مرتبط4434
خلاصهLasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter.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.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.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.
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ScholarGateمقایسهٔ روش‌ها: Lasso Regression · Elastic Net · Principal Component Analysis · Ridge Regression. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare