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Hồi quy Spline Thích nghi Đa biến (MARS)×Cây Quyết định×Hồi quy Spline và Spline Làm mịn×
Lĩnh vựcHọc máyHọc máyHọc máy
HọMachine learningMachine learningMachine learning
Năm ra đời199119841996
Người khởi xướngJerome H. FriedmanBreiman, Friedman, Olshen & StoneSpline regression literature; P-splines by Eilers & Marx
LoạiAdaptive piecewise-linear regressionRecursive partitioning (if-then rules)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 ↗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 treesplines, cubic splines, natural splines, smoothing splines
Liên quan454
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.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 · Regression Splines. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare