噪声稳定的半空间接近于非常小的区域

Chic. J. Theor. Comput. Sci. Pub Date : 2015-10-19 DOI:10.4086/CJTCS.2015.004

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

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引用次数: 5

摘要

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.

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Chic. J. Theor. Comput. Sci.

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