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A Theory of the Learnable (1984)

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by L. G. Valiant
Citations:1984 - 16 self
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BibTeX

@MISC{Valiant84atheory,
    author = {L. G. Valiant},
    title = {A Theory of the Learnable},
    year = {1984}
}

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Abstract

Humans appear to be able to learn new concepts without needing to be programmed explicitly in any conventional sense. In this paper we regard learning as the phenomenon of knowledge acquisition in the absence of explicit programming. We give a precise methodology for studying this phenomenon from a computational viewpoint. It consists of choosing an appropriate information gathering mechanism, the learning protocol, and exploring the class of concepts that can be learnt using it in a reasonable (polynomial) number of steps. We find that inherent algorithmic complexity appears to set serious limits to the range of concepts that can be so learnt. The methodology and results suggest concrete principles for designing realistic learning systems.

Keyphrases

precise methodology    serious limit    learning protocol    new concept    computational viewpoint    explicit programming    concrete principle    knowledge acquisition    conventional sense    appropriate information gathering mechanism    inherent algorithmic complexity   

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