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局所回帰 LOESS / LOWESS×多変量適応回帰スプライン(MARS)×
分野機械学習機械学習
系統Machine learningMachine learning
提唱年19791991
提唱者William S. ClevelandJerome H. Friedman
種類Local nonparametric regression smootherAdaptive piecewise-linear regression
原典Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. DOI ↗Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗
別名LOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları
関連34
概要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.Multivariate 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.
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  3. PUBLISHED
  1. v1
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ScholarGate手法を比較: LOESS · MARS. 2026-06-19に以下より取得 https://scholargate.app/ja/compare