Attribute-efficient learning of decision lists and linear threshold functions under unconcentrated distributions

Long, Philip M., Servedio, Rocco

Neural Information Processing Systems 

We consider the well-studied problem of learning decision lists using few examples whenmany irrelevant features are present. We show that smooth boosting algorithms suchas MadaBoost can efficiently learn decision lists of length k over n boolean variables using poly(k, log n) many examples provided that the marginal distribution over the relevant variables is "not too concentrated" in an L

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