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About this paper

Anindya De, Elchanan Mossel, Shivam Nadimpalli, Joe Neeman

The authors present a proper learner for agnostically learning affine halfspaces on the Boolean cube, using random restrictions and gradient averaging to find a low-dimensional feature space for its search. With membership queries, it achieves error at most OPT plus ε using O(n ε^-28) queries. Its runtime has an exponent of n independent of ε, but includes an exponential-in-1/ε term.

Summary by alphaXiv.

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