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Learning Intersections and Thresholds of Halfspaces (2002)  (Make Corrections)  (8 citations)
Adam R. Klivans, Ryan O'Donnell, Rocco A. Servedio



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Abstract: We give the rst polynomial time algorithm to learn any function of a constant number of halfspaces under the uniform distribution to within any constant error parameter. We also give the rst quasipolynomial time algorithm for learning any function of a polylog number of polynomial-weight halfspaces under any distribution. As special cases of these results we obtain algorithms for learning intersections and thresholds of halfspaces. Our uniform distribution learning algorithms involve a... (Update)

Cited by:   More
Toward Attribute Efficient Learning of Decision Lists and.. - Klivans, Servedio (2006)   (Correct)
An Augmented PAC Model for SemiSupervised Learning - Balcan, Blum (2005)   (Correct)
On the Noise Sensitivity of Monotone Functions - Mossel, O'Donnell (2003)   (Correct)

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2.3:   Computational Applications of Noise Sensitivity - O'Donnell (2003)   (Correct)
1.9:   Learning DNF from Random Walks - Bshouty, Mossel, O'Donnell, Servedio (2003)   (Correct)
1.0:   On Learning Monotone DNF under Product Distributions - Servedio (2001)   (Correct)

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0.5:   Boosting and Hard-Core Sets - Klivans, Servedio (1999)   (Correct)
0.5:   Learning DNF in Time ... - Klivans, Servedio (2001)   (Correct)
0.4:   Learnability Beyond AC^0 - Jackson, Klivans, al.   (Correct)

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3:   A random sampling based algorithm for learning the intersection of half-spaces - Vempala - 1997
3:   Noise sensitivity of Boolean functions and applications to percolation - Benjamini, Kalai et al.
3:   Communications of the ACM (context) - Valiant, of et al. - 1984

BibTeX entry:   (Update)

A. Klivans, R. O'Donnell, and R. Servedio. Learning intersections and thresholds of halfspaces. In Proc. 43rd Ann. IEEE Symp. on Foundations of Comp. Sci., pages 177--186, 2002. http://citeseer.ist.psu.edu/klivans02learning.html   More

@misc{ klivans02learning,
  author = "A. Klivans and R. O'Donnell and R. Servedio",
  title = "Learning intersections and thresholds of halfspaces",
  text = "A. Klivans, R. O'Donnell, and R. Servedio. Learning intersections and thresholds
    of halfspaces. In Proc. 43rd Ann. IEEE Symp. on Foundations of Comp. Sci.,
    pages 177--186, 2002.",
  year = "2002",
  url = "citeseer.ist.psu.edu/klivans02learning.html" }
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The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://math.ias.edu/~odonnell/):   More
Computational Applications of Noise Sensitivity - O'Donnell (2003)   (Correct)
Learning Juntas - Mossel, O'Donnell, Servedio (2003)   (Correct)
New Degree Bounds for Polynomial Threshold Functions - O'Donnell, Servedio   (Correct)

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