Incorporating posterior estimates into AdaBoost

Olga Barinova · Pattern Recognition and Image Analysis · 2009

Although boosting methods [9, 23] for creating compositions of weak hypotheses are among the best methods of machine learning developed so far [4], they are known to degrade performance in case of noisy data and overlapping classes. In this paper we consider binary classification and propose a reduction of overlapping classes’ classification problem to a deterministic problem. We also devise a new upper generalization bound for weighted averages of weak hypotheses, which uses posterior estimates for training objects and is based on proposed reduction. If we are given accurate posterior estimates, this bound is lower than existing bound by Schapire et al. [22]. We design an AdaBoost-like algorithm which optimizes proposed generalization bound and show that when incorporated with good posterior estimates it performs better than the standard AdaBoost on real-world data sets.

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