A Polylogarithmic PRG for Degree $2$ Threshold Functions in the Gaussian Setting

Daniel M. Kane

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arXiv · 1404.1103

A Polylogarithmic PRG for Degree $2$ Threshold Functions in the Gaussian Setting

Daniel M. Kane

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Abstract

We devise a new pseudorandom generator against degree 2 polynomial threshold functions in the Gaussian setting. We manage to achieve $ε$ error with seed length polylogarithmic in $ε$ and the dimension, and exponential improvement over previous constructions.

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Daniel M. Kane. 2014-04-03. A Polylogarithmic PRG for Degree $2$ Threshold Functions in the Gaussian Setting. https://arxiv.org/abs/1404.1103

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