Sammenlign metoder
Gjennomgå de valgte metodene side om side; rader som avviker, er uthevet.
| Multivariate Adaptive Regression Splines (MARS)× | Beslutningstre× | Generaliserte additive modeller (GAM)× | Gradient Boosting× | Regresjons- og utjevningsspliner× | |
|---|---|---|---|---|---|
| Fagfelt | Maskinlæring | Maskinlæring | Maskinlæring | Maskinlæring | Maskinlæring |
| Familie | Machine learning | Machine learning | Machine learning | Machine learning | Machine learning |
| Opprinnelsesår≠ | 1991 | 1984 | 1986 | 2001 | 1996 |
| Opphavsperson≠ | Jerome H. Friedman | Breiman, Friedman, Olshen & Stone | Trevor Hastie & Robert Tibshirani | Friedman, J. H. | Spline regression literature; P-splines by Eilers & Marx |
| Type≠ | Adaptive piecewise-linear regression | Recursive partitioning (if-then rules) | Semi-parametric additive regression model | Ensemble (sequential boosting of decision trees) | Piecewise-polynomial nonparametric regression |
| Opprinnelig kilde≠ | Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗ | Breiman, L., Friedman, J.H., Olshen, R.A. & Stone, C.J. (1984). Classification and Regression Trees. Wadsworth. DOI ↗ | Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗ | Friedman, J. H. (2001). Greedy Function Approximation: A Gradient Boosting Machine. Annals of Statistics, 29(5), 1189–1232. DOI ↗ | Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗ |
| Alias≠ | multivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları | Karar Ağacı (Decision Tree), karar ağacı, classification tree, regression tree | GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model | Gradient Boosting (GBM), GBM, gradient boosted trees, gradient boosting machine | splines, cubic splines, natural splines, smoothing splines |
| Relaterte≠ | 4 | 5 | 4 | 5 | 4 |
| Sammendrag≠ | 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. | A Decision Tree is an interpretable classification and regression method, formalised by Breiman, Friedman, Olshen and Stone in their 1984 CART framework, that partitions the data with hierarchical if-then rules. Each split sends observations down one branch or another until a prediction is read off the leaf. | 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. | Gradient Boosting is an ensemble learning method, formalised by Jerome H. Friedman in 2001, that combines a sequence of weak learners — typically shallow decision trees — so that each new tree is fitted to minimise the residual errors of the trees before it. It is the core algorithm behind popular implementations such as XGBoost, LightGBM and CatBoost. | Regression 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. |
| ScholarGateDatasett ↗ |
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