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Private Estimation with Public Data. (arXiv:2208.07984v1 [cs.LG])
Aug. 18, 2022, 1:20 a.m. | Alex Bie, Gautam Kamath, Vikrant Singhal
cs.CR updates on arXiv.org arxiv.org
We initiate the study of differentially private (DP) estimation with access
to a small amount of public data. For private estimation of d-dimensional
Gaussians, we assume that the public data comes from a Gaussian that may have
vanishing similarity in total variation distance with the underlying Gaussian
of the private data. We show that under the constraints of pure or concentrated
DP, d+1 public data samples are sufficient to remove any dependence on the
range parameters of the private data …
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