Abstract:This paper proposes the use of constructive ordinals as mistake bounds in the on-line learning model. This approach elegantly generalizes the applicability of the on-line mistake bound model to learnability analysis of very expressive concept classes like pattern languages, unions of pattern languages, elementary formal systems, and minimal models of logic programs.The main result in the paper shows that the topological property of effective finite bounded thickness is a sufficient condition for on-line learna… Show more
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