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Hồi quy đa thức×Hồi quy Bình phương Tối thiểu Thông thường (OLS)×Ridge Regression×
Lĩnh vựcThống kêKinh tế lượngHọc máy
HọRegression modelRegression modelMachine learning
Năm ra đời201220191970
Người khởi xướngMontgomery, Peck & Vining (textbook treatment); classical least squaresWooldridge (textbook treatment); classical least squaresHoerl, A.E. & Kennard, R.W.
LoạiLinear regression in transformed predictorsLinear regressionL2-regularized linear regression
Công trình gốcMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
Tên gọi khácpolynomial least squares, curvilinear regression, Polinom Regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Liên quan454
Tóm tắtPolynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).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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ScholarGateSo sánh phương pháp: Polynomial Regression · OLS Regression · Ridge Regression. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare