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Полиномиальная регрессия×Гребневая регрессия×
ОбластьСтатистикаМашинное обучение
СемействоRegression modelMachine learning
Год появления20121970
Автор методаMontgomery, Peck & Vining (textbook treatment); classical least squaresHoerl, A.E. & Kennard, R.W.
ТипLinear regression in transformed predictorsL2-regularized linear regression
Основополагающий источникMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
Другие названияpolynomial least squares, curvilinear regression, Polinom RegresyonuRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Связанные44
СводкаPolynomial 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.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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ScholarGateСравнение методов: Polynomial Regression · Ridge Regression. Получено 2026-06-18 из https://scholargate.app/ru/compare