Abstract
Tree ensembles are looked at in distribution space, that is, the limit case of "infinite" sample size. It is shown that the simplest kind of trees is complete in D-dimensional $L_2(P)$ space if the number of terminal nodes T is greater than D. For such trees we show that the AdaBoost algorithm gives an ensemble converging to the Bayes risk.
Citation
Leo Breiman. "Population theory for boosting ensembles." Ann. Statist. 32 (1) 1 - 11, February 2004. https://doi.org/10.1214/aos/1079120126
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