Sciweavers

Share
FOCS
2002
IEEE

Learning Intersections and Thresholds of Halfspaces

10 years 27 days ago
Learning Intersections and Thresholds of Halfspaces
We give the first polynomial time algorithm to learn any function of a constant number of halfspaces under the uniform distribution on the Boolean hypercube to within any constant error parameter. We also give the first quasipolynomial time algorithm for learning any Boolean function of a polylog number of polynomial-weight halfspaces under any distribution on the Boolean hypercube. As special cases of these results we obtain algorithms for learning intersections and thresholds of halfspaces. Our uniform distribution learning algorithms involve a novel non-geometric approach to learning halfspaces; we use Fourier techniques together with a careful analysis of the noise sensitivity of functions of halfspaces. Our algorithms for learning under any distribution use techniques from real approximation theory to construct low-degree polynomial threshold functions. Finally, we also observe that any function of a constant number of polynomial-weight halfspaces can be learned in polynomial t...
Adam Klivans, Ryan O'Donnell, Rocco A. Servedio
Added 14 Jul 2010
Updated 14 Jul 2010
Type Conference
Year 2002
Where FOCS
Authors Adam Klivans, Ryan O'Donnell, Rocco A. Servedio
Comments (0)
books