June 23, 2021

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Differentially Private Frequency Moments Estimation with Polylogarithmic Space. (arXiv:2105.12363v2 [cs.CR] UPDATED)

We prove that $mathbb{F}_p$ sketch, a well-celebrated streaming algorithm
for frequency moments estimation, is differentially private as is.
$mathbb{F}_p$ sketch uses only polylogarithmic space, exponentially better
than existing DP baselines and only worse than the optimal non-private baseline
by a logarithmic factor. The evaluation shows that $mathbb{F}_p$ sketch can
achieve reasonable accuracy with strong privacy guarantees.