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मल्टीवेरिएट एडप्टिव रिग्रेशन स्प्लाइन्स (MARS)×बहुपद समाश्रयण (Polynomial Regression)×
क्षेत्रमशीन अधिगमसांख्यिकी
परिवारMachine learningRegression model
उद्भव वर्ष19912012
प्रवर्तकJerome H. FriedmanMontgomery, Peck & Vining (textbook treatment); classical least squares
प्रकारAdaptive piecewise-linear regressionLinear regression in transformed predictors
मौलिक स्रोतFriedman, 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
उपनामmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıpolynomial least squares, curvilinear regression, Polinom Regresyonu
संबंधित44
सारांशMultivariate 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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