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Polinomijalna regresija×Regresija Laso×Rigidna regresija×
OblastStatistikaMašinsko učenjeMašinsko učenje
PorodicaRegression modelMachine learningMachine learning
Godina nastanka201219961970
TvoracMontgomery, Peck & Vining (textbook treatment); classical least squaresTibshirani, R.Hoerl, A.E. & Kennard, R.W.
TipLinear regression in transformed predictorsRegularized linear regression (L1 penalty)L2-regularized linear regression
Temeljni izvorMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
Drugi nazivipolynomial least squares, curvilinear regression, Polinom RegresyonuLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Srodne444
SažetakPolynomial 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.Lasso 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.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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ScholarGateUporedite metode: Polynomial Regression · Lasso Regression · Ridge Regression. Preuzeto 2026-06-18 sa https://scholargate.app/sr/compare