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회귀 스플라인 및 스무딩 스플라인×다항 회귀×
분야머신러닝통계학
계열Machine learningRegression model
기원 연도19962012
창시자Spline regression literature; P-splines by Eilers & MarxMontgomery, Peck & Vining (textbook treatment); classical least squares
유형Piecewise-polynomial nonparametric regressionLinear regression in transformed predictors
원전Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811
별칭splines, cubic splines, natural splines, smoothing splinespolynomial least squares, curvilinear regression, Polinom Regresyonu
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.Polynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.
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ScholarGate방법 비교: Regression Splines · Polynomial Regression. 2026-06-18에 다음에서 검색함: https://scholargate.app/ko/compare