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On Learning Read-k-Satisfy-j DNF (1998)  (Make Corrections)  (1 citation)
Howard Aizenstein, Avrim Blum, Roni Khardon, Eyal Kushilevitz, Leonard Pitt, Dan Roth
SIAM J. Comput.



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Abstract: We study the learnability of Read-k-Satisfy-j (RkSj) DNF formulas. These are boolean formulas in disjunctive normal form (DNF), in which the maximum number of occurrences of a variable is bounded by k, and the number of terms satisfied by any assignment is at most j. After motivating the investigation of this class of DNF formulas, we present an algorithm that with high probability finds a DNF formula that is logically equivalent to any unknown RkSj DNF formula to be learned. The algorithm ... (Update)

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.... (occurrences of each variable) in a formula, a restriction that has been well investigated in the learning theory literature [3, 38, 9, 10, 39, 1, 2]. Previous work has shown that it is possible to identify an arbitrary monotone read once ( formula under a stronger notion of...

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BibTeX entry:   (Update)

H. Aizenstein, A. Blum, R. Khardon, E. Kushilevitz, L. Pitt, and D. Roth. On learning read-k-satisfy-j DNF. SIAM Journal on Computing, 27(6):1515--1530, 1998. 22 http://citeseer.ist.psu.edu/aizenstein98learning.html   More

@article{ aizenstein98learning,
    author = "Howard Aizenstein and Avrim Blum and Roni Khardon and Eyal Kushilevitz and Leonard Pitt and Dan Roth",
    title = "On Learning Read-k-Satisfy-j {DNF}",
    journal = "SIAM J. Comput.",
    volume = "27",
    number = "6",
    pages = "1515-1530",
    year = "1998",
    url = "citeseer.ist.psu.edu/aizenstein98learning.html" }
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