On the Distribution of the Fourier Spectrum of Halfspaces

Details On the Distribution of the Fourier Spectrum of Halfspaces On the Distribution of the Fourier Spectrum of Halfspaces

2012-02-29

arxiv.org/abs/1202.6680v1

Computer Science

Computational Complexity

Scientific paper

Bourgain showed that any noise stable Boolean function $f$ 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 $f$ is
a halfspace.

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