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A Small PRG for Polynomial Threshold Functions of Gaussians (1104.1209v1)

Published 6 Apr 2011 in cs.CC

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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