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Random Forests - Springer

Machine Learning, 45, 5 32, 2001c 2001 Kluwer Academic Publishers. Manufactured in The ForestsLEO BREIMANS tatistics Department, University of California, Berkeley, CA 94720 Editor:Robert E. Forests are a combination of tree predictors such that each tree depends on the values of arandom vector sampled independently and with the same distribution for all trees in the forest . The generalizationerror for Forests converges to a limit as the number of trees in the forest becomes large. The generalizationerror of a forest of tree classifiers depends on the strength of the individual trees in the forest and the corre-lation between them. Using a Random selection of features to split each node yields error rates that comparefavorably to Adaboost (Y. Freund & R. Schapire,Machine Learning:Proceedings of the Thirteenth Interna-tional conference, , 148 156), but are more robust with respect to noise.

a number of independent random integers between 1 and K. The nature and dimensionality of depends on its use in tree construction. After a large number of trees is generated, they vote for the most popular class. We call these procedures random forests. Definition 1.1. A random forest is a classifier consisting of a collection of tree-structured

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