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On Learning Monotone DNF under Product Distributions (2001)  (Make Corrections)  (3 citations)
Rocco A. Servedio
14th Annual Conference on Computational Learning Theory, COLT 2001 and 5th European Conference on Computational Learning Theory, EuroCOLT 2001, Amsterdam, The Netherlands, July 2001, Proceedings



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Abstract: We show that the class of monotone 2 O( p log n) -term DNF formulae can be PAC learned in polynomial time under the uniform distribution. This is an exponential improvement over previous algorithms in this model, which could learn monotone o(log 2 n)-term DNF, and is the first efficient algorithm for monotone (log n) !(1) -term DNF in any nontrivial model of learning from random examples. Our result extends to any constant-bounded product distribution. Supported in part by an NSF... (Update)

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BibTeX entry:   (Update)

R. Servedio. On learning monotone DNF under product distributions. In Proceedings of the Fourteenth Annual Conference on Computational Learning Theory, pages 473-489, 2001. http://citeseer.ist.psu.edu/servedio01learning.html   More

@inproceedings{ servedio01learning,
    author = "Rocco A. Servedio",
    title = "On Learning Monotone {DNF} under Product Distributions",
    booktitle = "14th Annual Conference on Computational Learning Theory, {COLT} 2001 and 5th {E}uropean Conference on Computational Learning Theory, {EuroCOLT} 2001, Amsterdam, The Netherlands, July 2001, Proceedings",
    volume = "2111",
    publisher = "Springer, Berlin",
    pages = "558--573",
    year = "2001",
    url = "citeseer.ist.psu.edu/servedio01learning.html" }
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141   The complexity of finite functions (context) - Boppana, Sipser - 1990
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59   The influence of variables on Boolean functions (context) - Kahn, Kalai et al. - 1988
46   An efficient membership-query algorithm for learning DNF wit.. - Jackson - 1997
42   term DNF formulas with queries (context) - Blum, Rudich et al. - 1995
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26   Monotone versus positive (context) - Ajtai, Gurevich - 1987
22   DNF formulas on product distributions (context) - Hancock, Mansour et al. - 1991
19   Improved learning of AC 0 functions - Furst, Jackson et al. - 1991
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14   A switching lemma primer (context) - Beame - 1994
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