A Small PRG for Polynomial Threshold Functions of Gaussians

Daniel M. Kane

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arXiv · 1104.1209

A Small PRG for Polynomial Threshold Functions of Gaussians

Daniel M. Kane

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Abstract

We develop a pseudo-random generator to fool degree-$d$ polynomial threshold functions with respect to the Gaussian distribution. For $c>0$ any constant, we construct a pseudo-random generator that fools such functions to within $\epsilon$ and has seed length $\log(n) 2^{O(d)} \epsilon^{-4-c}$.

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Daniel M. Kane. 2011-04-06. A Small PRG for Polynomial Threshold Functions of Gaussians. https://arxiv.org/abs/1104.1209

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