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A random forest guided tour

A review of random forests, surveying recent theoretical and methodological developments and the mathematics driving the algorithm.

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A random forest guided tour

By G. Biau, Erwan ScornetTest (Madrid)
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This article is a guided review of the random forest algorithm, introduced by Leo Breiman in 2001, which has become an extremely successful general-purpose method for both classification and regression. The approach builds several randomized decision trees and aggregates their predictions by averaging. The authors highlight why the method is so widely used: it performs excellently in settings where the number of variables is much larger than the number of observations, is versatile enough to be adapted to many ad hoc learning tasks, scales to large problems, and returns useful measures of variable importance.

The review then synthesizes the most recent theoretical and methodological developments for random forests, placing emphasis on the mathematical forces that drive the algorithm. Particular attention is given to the selection of parameters, the resampling mechanism underlying the trees, and variable importance measures. Written to give non-experts easy access to the main ideas, the paper serves as an accessible bridge between random forests' strong empirical track record and the growing body of theory explaining why they work.

Abstract

This review surveys the random forest algorithm, proposed by Breiman in 2001, which combines several randomized decision trees and averages their predictions. It is a successful general-purpose method for classification and regression, excelling when variables outnumber observations, scaling to large problems, and returning variable importance measures. The article synthesizes recent theoretical and methodological developments, emphasizing the mathematics driving the algorithm, with attention to parameter selection, resampling, and variable importance. For non-experts.

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random forestsdecision treesclassificationregressionvariable importanceensemble methods
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