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رگرسیون انشعابی تطبیقی چندمتغیره (MARS)×اسپلاین‌های رگرسیون و هموارسازی×
حوزهیادگیری ماشینیادگیری ماشین
خانوادهMachine learningMachine learning
سال پیدایش19911996
پدیدآورJerome H. FriedmanSpline regression literature; P-splines by Eilers & Marx
نوعAdaptive piecewise-linear regressionPiecewise-polynomial nonparametric regression
منبع بنیادینFriedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
نام‌های دیگرmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larısplines, cubic splines, natural splines, smoothing splines
مرتبط44
خلاصهMultivariate 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.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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ScholarGateمقایسهٔ روش‌ها: MARS · Regression Splines. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare