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회귀 스플라인 및 스무딩 스플라인×일반화 가법 모형 (GAM)×
분야머신러닝머신러닝
계열Machine learningMachine learning
기원 연도19961986
창시자Spline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert Tibshirani
유형Piecewise-polynomial nonparametric regressionSemi-parametric additive regression model
원전Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗
별칭splines, cubic splines, natural splines, smoothing splinesGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
관련44
요약Regression 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.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.
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