Noise Stable Halfspaces are Close to Very Small Juntas

Ilias Diakonikolas, Ragesh Jaiswal, R. Servedio, Li-Yang Tan, Andrew Wan
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引用次数: 5

Abstract

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.
噪声稳定的半空间接近于非常小的区域
Bourgain [Bou02]表明,任何噪声稳定布尔函数f都可以被军政府很好地近似。在附加假设f是半空间的情况下,我们给出了布尔甘结果参数的指数锐化。
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