Randomness-optimal oblivious sampling

Abstract

We present the first efficient oblivious sampler that uses an optimal number of random bits, up to an arbitrary constant factor bigger than 1. Specifically, for any α > 0, it uses (1 +α)(m+ log γ−1) random bits to output d = poly( −1, log γ−1,m) sample points z1, . . . , zd ∈ {0, 1} such that for any function f : {0, 1} → [0, 1], Pr [ ∣∣∣ 1 d ∑di=1f(zi)−Ef… (More)
DOI: 10.1002/(SICI)1098-2418(199712)11:4%3C345::AID-RSA4%3E3.0.CO;2-Z

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