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সাধারণীকৃত যোজন মডেল (GAM)×মাল্টিভেরিয়েট অ্যাডাপ্টিভ রিগ্রেশন স্প্লাইনস (MARS)×বহুপদী রিগ্রেশন×
ক্ষেত্রযন্ত্র শিখনযন্ত্র শিখনপরিসংখ্যান
পরিবারMachine learningMachine learningRegression model
উদ্ভবের বছর198619912012
প্রবর্তকTrevor Hastie & Robert TibshiraniJerome H. FriedmanMontgomery, Peck & Vining (textbook treatment); classical least squares
ধরনSemi-parametric additive regression modelAdaptive piecewise-linear regressionLinear regression in transformed predictors
মৌলিক উৎসHastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. 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
অপর নামGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıpolynomial least squares, curvilinear regression, Polinom Regresyonu
সম্পর্কিত444
সারসংক্ষেপA generalized additive model, introduced by Trevor Hastie and Robert Tibshirani in 1986, extends the generalized linear model by replacing each linear term with a smooth, data-driven function of the predictor. This lets the model capture nonlinear relationships while preserving the additive, term-by-term interpretability of regression: each predictor contributes its own estimated curve, and the curves simply add up (on a link scale) to predict the response.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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ScholarGateপদ্ধতির তুলনা করুন: Generalized Additive Model · MARS · Polynomial Regression. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare