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Regresi Polinomial×Regresi Lasso×Regresi Kuadrat Terkecil Biasa (Ordinary Least Squares - OLS)×Metodologi Permukaan Respons (RSM)×Regresi Ridge×
BidangStatistikaPembelajaran MesinEkonometrikaDesain EksperimenPembelajaran Mesin
KeluargaRegression modelMachine learningRegression modelHypothesis testMachine learning
Tahun asal20121996201919511970
PencetusMontgomery, Peck & Vining (textbook treatment); classical least squaresTibshirani, R.Wooldridge (textbook treatment); classical least squaresGeorge E. P. Box & K. B. WilsonHoerl, A.E. & Kennard, R.W.
TipeLinear regression in transformed predictorsRegularized linear regression (L1 penalty)Linear regressionSecond-order polynomial response surface modelL2-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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Box, 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 ↗
Aliaspolynomial least squares, curvilinear regression, Polinom RegresyonuLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRSM, Central Composite Design, Box-Behnken Design, CCDRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Terkait44574
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.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).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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ScholarGateBandingkan metode: Polynomial Regression · Lasso Regression · OLS Regression · Response Surface Methodology · Ridge Regression. Diakses 2026-06-18 dari https://scholargate.app/id/compare