手法を比較
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| 局所回帰 LOESS / LOWESS× | 一般化加法モデル(GAM)× | |
|---|---|---|
| 分野 | 機械学習 | 機械学習 |
| 系統 | Machine learning | Machine learning |
| 提唱年≠ | 1979 | 1986 |
| 提唱者≠ | William S. Cleveland | Trevor Hastie & Robert Tibshirani |
| 種類≠ | Local nonparametric regression smoother | Semi-parametric additive regression model |
| 原典≠ | Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. DOI ↗ | Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗ |
| 別名 | LOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyon | GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model |
| 関連≠ | 3 | 4 |
| 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. | 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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