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Hồi quy Spline Thích nghi Đa biến (MARS)×Cây Quyết định×Gradient Boosting×Hồi quy Spline và Spline Làm mịn×
Lĩnh vựcHọc máyHọc máyHọc máyHọc máy
HọMachine learningMachine learningMachine learningMachine learning
Năm ra đời1991198420011996
Người khởi xướngJerome H. FriedmanBreiman, Friedman, Olshen & StoneFriedman, J. H.Spline regression literature; P-splines by Eilers & Marx
LoạiAdaptive piecewise-linear regressionRecursive partitioning (if-then rules)Ensemble (sequential boosting of decision trees)Piecewise-polynomial nonparametric regression
Công trình gốcFriedman, 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 ↗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 ↗
Tên gọi khácmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıKarar Ağacı (Decision Tree), karar ağacı, classification tree, regression treeGradient Boosting (GBM), GBM, gradient boosted trees, gradient boosting machinesplines, cubic splines, natural splines, smoothing splines
Liên quan4554
Tóm tắtMultivariate 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.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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ScholarGateSo sánh phương pháp: MARS · Decision Tree · Gradient Boosting · Regression Splines. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare