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

A Small PRG for Polynomial Threshold Functions of Gaussians