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Learning Functions of Halfspaces

Josh Alman, Shyamal Patel, Rocco A. Servedio

2026Year
3Citations

Abstract

We give an algorithm that learns arbitrary Boolean functions of k arbitrary halfspaces over R n , in the challenging distribution-free Probably Approximately Correct (PAC) learning model, running in time 2 √ n•(log n) O(k) . This is the first algorithm that can PAC learn even intersections of two halfspaces in time 2 o(n) .

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