Machine Learning

, Volume 78, Issue 3, pp 287–304 | Cite as

Random classification noise defeats all convex potential boosters

Article

Abstract

A broad class of boosting algorithms can be interpreted as performing coordinate-wise gradient descent to minimize some potential function of the margins of a data set. This class includes AdaBoost, LogitBoost, and other widely used and well-studied boosters. In this paper we show that for a broad class of convex potential functions, any such boosting algorithm is highly susceptible to random classification noise. We do this by showing that for any such booster and any nonzero random classification noise rate η, there is a simple data set of examples which is efficiently learnable by such a booster if there is no noise, but which cannot be learned to accuracy better than 1/2 if there is random classification noise at rate η. This holds even if the booster regularizes using early stopping or a bound on the L1 norm of the voting weights. This negative result is in contrast with known branching program based boosters which do not fall into the convex potential function framework and which can provably learn to high accuracy in the presence of random classification noise.

Boosting Learning theory Noise-tolerant learning Misclassification noise Convex loss Potential boosting 

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Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.GoogleMountain ViewUSA
  2. 2.Computer Science DepartmentColumbia UniversityNew YorkUSA

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