On the Distribution of the Fourier Spectrum of Halfspaces

Ilias Diakonikolas, Ragesh Jaiswal, Rocco A. Servedio, Li-Yang Tan, Andrew Wan

Research output: Contribution to journalArticlepeer-review


Bourgain showed that any noise stable Boolean function ƒ can be well-approximated by a junta. In this note we give an exponential sharpening of the parameters of Bourgain's result under the additional assumption that ƒ is a halfspace.
Original languageEnglish
JournalComputing Research Repository (CoRR)
Publication statusPublished - 2012


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