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Yleistetty additiivinen malli (GAM)×Monimuuttujaiset adaptiiviset regressiosplinit (MARS)×
TieteenalaKoneoppiminenKoneoppiminen
MenetelmäperheMachine learningMachine learning
Syntyvuosi19861991
KehittäjäTrevor Hastie & Robert TibshiraniJerome H. Friedman
TyyppiSemi-parametric additive regression modelAdaptive piecewise-linear regression
AlkuperäislähdeHastie, 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 ↗
RinnakkaisnimetGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları
Liittyvät44
TiivistelmäA 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.
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