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회귀 스플라인 및 스무딩 스플라인×LOESS / LOWESS 지역 회귀×다항 회귀×
분야머신러닝머신러닝통계학
계열Machine learningMachine learningRegression model
기원 연도199619792012
창시자Spline regression literature; P-splines by Eilers & MarxWilliam S. ClevelandMontgomery, Peck & Vining (textbook treatment); classical least squares
유형Piecewise-polynomial nonparametric regressionLocal nonparametric regression smootherLinear 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 ↗Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. 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 splinesLOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonpolynomial least squares, curvilinear regression, Polinom Regresyonu
관련434
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.LOESS (locally estimated scatterplot smoothing), introduced by William Cleveland in 1979 and extended with Susan Devlin in 1988, fits a smooth curve through data by performing a separate weighted polynomial regression in the neighbourhood of each point. Nearby observations count more than distant ones, so the method follows local structure without assuming any global functional form, making it a popular exploratory smoother for scatterplots.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 · LOESS · Polynomial Regression. 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare