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On decision trees, influences, and learning monotone decision trees (2004)

Abstract
In this note we prove that a monotone boolean function computable by a decision tree of size $s$ has average sensitivity at most $\sqrt{\log_2 s}$. As a consequence we show that monotone functions are learnable to constant accuracy under the uniform distribution in time polynomial in their decision tree size.

Publication details
Download http://hdl.handle.net/10022/AC:P:29225
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