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Optimal attribute-efficient learning of disjunction, parity, and threshold functions

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1208))

Abstract

Decision trees are a very general computation model. Here the problem is to identify a Boolean function f out of a given set of Boolean functions F by asking for the value of f at adaptively chosen inputs. For classes F consisting of functions which may be obtained from one function g on n inputs by replacing arbitrary n−k inputs by given constants this problem is known as attribute-efficient learning with k essential attributes. Results on general classes of functions are known. More precise and often optimal results are presented for the cases where g is one of the functions disjunction, parity or threshold.

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Shai Ben-David

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© 1997 Springer-Verlag Berlin Heidelberg

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Uehara, R., Tsuchida, K., Wegener, I. (1997). Optimal attribute-efficient learning of disjunction, parity, and threshold functions. In: Ben-David, S. (eds) Computational Learning Theory. EuroCOLT 1997. Lecture Notes in Computer Science, vol 1208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62685-9_15

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  • DOI: https://doi.org/10.1007/3-540-62685-9_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62685-5

  • Online ISBN: 978-3-540-68431-2

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