Exact Learning Composed Classes with a Small Number of Mistakes

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...

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description 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.
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subjects Applied sciences
Artificial intelligence
Computer science
control theory
systems
Exact sciences and technology
title Exact Learning Composed Classes with a Small Number of Mistakes
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