A Small PRG for Polynomial Threshold Functions of Gaussians

Computer Science – Computational Complexity

Scientific paper

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Scientific paper

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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