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Hồi quy đa thức×Phương pháp Bề mặt Đáp ứng (RSM)×Ridge Regression×
Lĩnh vựcThống kêThiết kế thí nghiệmHọc máy
HọRegression modelHypothesis testMachine learning
Năm ra đời201219511970
Người khởi xướngMontgomery, Peck & Vining (textbook treatment); classical least squaresGeorge E. P. Box & K. B. WilsonHoerl, A.E. & Kennard, R.W.
LoạiLinear regression in transformed predictorsSecond-order polynomial response surface modelL2-regularized linear regression
Công trình gốcMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Box, G. E. P. & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13(1), 1–45. link ↗Hoerl, 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 RegresyonuRSM, Central Composite Design, Box-Behnken Design, CCDRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Liên quan474
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.Response Surface Methodology is a collection of statistical and mathematical techniques for building an empirical second-order polynomial model that relates a continuous response variable to two or more controllable input factors, and then locating the factor settings that optimize that response. The approach was introduced by George E. P. Box and K. B. Wilson in their landmark 1951 paper and has since become a cornerstone of process optimization across engineering, chemistry, food science, and pharmaceutics.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 · Response Surface Methodology · Ridge Regression. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare