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CJTCS
2016

Noise Stable Halfspaces are Close to Very Small Juntas

4 years 3 months ago
Noise Stable Halfspaces are Close to Very Small Juntas
Bourgain [Bou02] 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.
Ilias Diakonikolas, Ragesh Jaiswal, Rocco A. Serve
Added 31 Mar 2016
Updated 31 Mar 2016
Type Journal
Year 2016
Where CJTCS
Authors Ilias Diakonikolas, Ragesh Jaiswal, Rocco A. Servedio, Li-Yang Tan, Andrew Wan
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