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رگرسیون خطی (یادگیری ماشین)×رگرسیون خطی منظم شده×
حوزهیادگیری ماشینیادگیری ماشین
خانوادهMachine learningMachine learning
سال پیدایش1805–18091970–2005
پدیدآورLegendre, A.-M. & Gauss, C.F.Hoerl & Kennard (Ridge, 1970); Tibshirani (Lasso, 1996); Zou & Hastie (Elastic Net, 2005)
نوعSupervised regressionPenalized linear model
منبع بنیادینHastie, T., Tibshirani, R. & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction (2nd ed., Ch. 3). Springer. ISBN: 978-0-387-84858-7Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗
نام‌های دیگرordinary least squares regression, OLS, least squares regression, multiple linear regressionRidge regression, Lasso regression, Elastic Net regression, penalized regression
مرتبط54
خلاصهLinear regression fits a straight-line relationship between one or more input features and a continuous numeric outcome by minimising the sum of squared prediction errors. As a machine-learning model it is trained on labeled examples and evaluated on held-out data, making it the simplest supervised learning baseline for any regression task.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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ScholarGateمقایسهٔ روش‌ها: Linear Regression (ML) · Regularized linear regression. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare