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Regresijas un izlīdzināšanas splaini×Daudzvariāciju adaptīvās regresijas šķipsnas (MARS)×Polinomu regresija×
NozareMašīnmācīšanāsMašīnmācīšanāsStatistika
SaimeMachine learningMachine learningRegression model
Izcelsmes gads199619912012
AutorsSpline regression literature; P-splines by Eilers & MarxJerome H. FriedmanMontgomery, Peck & Vining (textbook treatment); classical least squares
TipsPiecewise-polynomial nonparametric regressionAdaptive piecewise-linear regressionLinear regression in transformed predictors
PirmavotsEilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811
Citi nosaukumisplines, cubic splines, natural splines, smoothing splinesmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıpolynomial least squares, curvilinear regression, Polinom Regresyonu
Saistītās444
KopsavilkumsRegression splines model a nonlinear relationship by fitting piecewise polynomials that join smoothly at a set of points called knots. Cubic and natural splines are the most common, and smoothing splines add a roughness penalty that automatically balances fit against smoothness. Splines are the standard flexible building block for univariate nonlinear regression and the basis of generalized additive models.Multivariate adaptive regression splines, introduced by Jerome Friedman in 1991, is a flexible nonparametric regression method that automatically models nonlinearities and interactions by combining piecewise-linear 'hinge' functions. It builds the model in a forward stagewise pass that adds basis functions where they help most, then prunes back the overgrown model, yielding an interpretable additive-plus-interaction form that adapts its complexity to the data.Polynomial 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.
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ScholarGateSalīdzināt metodes: Regression Splines · MARS · Polynomial Regression. Izgūts 2026-06-19 no https://scholargate.app/lv/compare