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Regresi Polinomial×Lasso Regression×Regresi Rabung×
BidangStatistikPembelajaran MesinPembelajaran Mesin
KeluargaRegression modelMachine learningMachine learning
Tahun asal201219961970
PengasasMontgomery, Peck & Vining (textbook treatment); classical least squaresTibshirani, R.Hoerl, A.E. & Kennard, R.W.
JenisLinear regression in transformed predictorsRegularized linear regression (L1 penalty)L2-regularized linear regression
Sumber perintisMontgomery, 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 ↗
Aliaspolynomial least squares, curvilinear regression, Polinom RegresyonuLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Berkaitan444
RingkasanPolynomial 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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ScholarGateBandingkan kaedah: Polynomial Regression · Lasso Regression · Ridge Regression. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare