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Multivariate Adaptive Regression Splines (MARS)×Pohon Keputusan×Model Aditif Generalized (GAM)×Peningkatan Cerun×Regression Splines×
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KeluargaMachine learningMachine learningMachine learningMachine learningMachine learning
Tahun asal19911984198620011996
PengasasJerome H. FriedmanBreiman, Friedman, Olshen & StoneTrevor Hastie & Robert TibshiraniFriedman, J. H.Spline regression literature; P-splines by Eilers & Marx
JenisAdaptive piecewise-linear regressionRecursive partitioning (if-then rules)Semi-parametric additive regression modelEnsemble (sequential boosting of decision trees)Piecewise-polynomial nonparametric regression
Sumber perintisFriedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Breiman, L., Friedman, J.H., Olshen, R.A. & Stone, C.J. (1984). Classification and Regression Trees. Wadsworth. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Friedman, J. H. (2001). Greedy Function Approximation: A Gradient Boosting Machine. Annals of Statistics, 29(5), 1189–1232. DOI ↗Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
Aliasmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıKarar Ağacı (Decision Tree), karar ağacı, classification tree, regression treeGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelGradient Boosting (GBM), GBM, gradient boosted trees, gradient boosting machinesplines, cubic splines, natural splines, smoothing splines
Berkaitan45454
RingkasanMultivariate 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.A Decision Tree is an interpretable classification and regression method, formalised by Breiman, Friedman, Olshen and Stone in their 1984 CART framework, that partitions the data with hierarchical if-then rules. Each split sends observations down one branch or another until a prediction is read off the leaf.A 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.Gradient Boosting is an ensemble learning method, formalised by Jerome H. Friedman in 2001, that combines a sequence of weak learners — typically shallow decision trees — so that each new tree is fitted to minimise the residual errors of the trees before it. It is the core algorithm behind popular implementations such as XGBoost, LightGBM and CatBoost.Regression 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.
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ScholarGateBandingkan kaedah: MARS · Decision Tree · Generalized Additive Model · Gradient Boosting · Regression Splines. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare