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REPORTS > AUTHORS > DANIEL KANE:
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TR09-117 | 18th November 2009
Ilias Diakonikolas, Daniel Kane, Jelani Nelson

Bounded Independence Fools Degree-2 Threshold Functions

Revisions: 1
Let x be a random vector coming from any k-wise independent distribution over {-1,1}^n. For an n-variate degree-2 polynomial p, we prove that E[sgn(p(x))] is determined up to an additive epsilon for k = poly(1/epsilon). This answers an open question of Diakonikolas et al. (FOCS 2009). Using standard constructions of ... more >>>



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