The Composition Lemma is one of the strongest tools for learning complex classes. It shows that if a class is learnable then composing the class with a class of polynomial number of concepts gives a learnable class. In this paper we extend the Composition Lemma as follows: we show that composing an attribute efficient learnable class with a learnable class with polynomial shatter coefficient gives a learnable class. This result extends many results in the literature and gives polynomial learning algorithms for new classes. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Bshouty, N. H., & Mazzawi, H. (2006). Exact learning composed classes with a small number of mistakes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4005 LNAI, pp. 199–213). Springer Verlag. https://doi.org/10.1007/11776420_17
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