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Polynomická regrese×Regrese Lasso×Metodologie ploch odezvy (RSM)×
OborStatistikaStrojové učeníPlánování experimentů
RodinaRegression modelMachine learningHypothesis test
Rok vzniku201219961951
TvůrceMontgomery, Peck & Vining (textbook treatment); classical least squaresTibshirani, R.George E. P. Box & K. B. Wilson
TypLinear regression in transformed predictorsRegularized linear regression (L1 penalty)Second-order polynomial response surface model
Původní zdrojMontgomery, 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 ↗Box, 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 ↗
Další názvypolynomial least squares, curvilinear regression, Polinom RegresyonuLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationRSM, Central Composite Design, Box-Behnken Design, CCD
Příbuzné447
ShrnutíPolynomial 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.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.
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ScholarGatePorovnat metody: Polynomial Regression · Lasso Regression · Response Surface Methodology. Získáno 2026-06-18 z https://scholargate.app/cs/compare