Differentially Private Fractional Frequency Moments Estimation with Polylogarithmic Space [article]

Lun Wang, Iosif Pinelis, Dawn Song
2021 arXiv   pre-print
We prove that 𝔽_p sketch, a well-celebrated streaming algorithm for frequency moments estimation, is differentially private as is when p∈(0, 1]. 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 𝔽_p sketch can achieve reasonable accuracy with strong privacy guarantees.
arXiv:2105.12363v4 fatcat:ybzcqrzxybdyrejhfyrdnv3zi4