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Мультивариантные адаптивные регрессионные сплайны (MARS)×Дерево решений×Регрессионные и сглаживающие сплайны×
ОбластьМашинное обучениеМашинное обучениеМашинное обучение
СемействоMachine learningMachine learningMachine learning
Год появления199119841996
Автор методаJerome H. FriedmanBreiman, Friedman, Olshen & StoneSpline regression literature; P-splines by Eilers & Marx
ТипAdaptive piecewise-linear regressionRecursive partitioning (if-then rules)Piecewise-polynomial nonparametric regression
Основополагающий источникFriedman, 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 ↗
Другие названияmultivariate 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
Связанные454
СводкаMultivariate 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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ScholarGateСравнение методов: MARS · Decision Tree · Regression Splines. Получено 2026-06-18 из https://scholargate.app/ru/compare