Ensemble learning deals with methods which employ multiple learners to solve a problem. The generalization ability of an ensemble is usually significantly better than that of a single learner, so ensemble methods are very attractive. The AdaBoost algorithm proposed by Yoav Freund and Robert Schapire is one of the most important ensemble methods, since it has solid theoretical foundation, very accurate prediction, great simplicity (Schapire said it needs only “just 10 lines of code”), and wide and successful applications.

In 1988, Kearns and Valiant posed an interesting question, i.e., whether a weak learning algorithm that performs just slightly better than random guess could be “boosted” into an arbitrarily accurate strong learning algorithm. In other words, whether two complexity classes, weakly learnable and strongly learnable problems, are equal. Schapire found that the answer to the question is “yes”, and the proof he gave is a construction, which is the first Boosting algorithm. So, it is evident that AdaBoost was born with theoretical significance. AdaBoost has given rise to abundant research on theoretical aspects of ensemble methods, which can be easily found in machine learning and statistics literature. It is worth mentioning that for their AdaBoost paper, Schapire and Freund won the Godel Prize, which is one of the most prestigious awards in theoretical computer science, in the year of 2003.

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