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Instance-optimal Mean Estimation Under Differential Privacy

NeurIPS 2021 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use shifted-clipped-mean mechanism instead of COINPRESS MVMRec with best tDP mean estimation · Gaussian N(mu,Sigma) statistical mean estimationl2 errorHelped
use shifted-clipped-mean instead of MVMRec when covariance is non-identityDP mean estimation · Gaussian N(0,Sigma(kappa))l2 errorHelped
use shifted-clipped-mean instead of COINPRESSDP empirical mean estimation · MNIST (d=784)l2 errorHelped
estimate covariance first (MVCRec-MVMRec) instead of MVMRec aloneCOINPRESS · Gaussian, varying dl2 errorMixed
remove the shift (centering) step from the clipped-mean estimator (ablation)Shifted-CM · Gaussian with varying mean/Rl2 errorHurt
use clipping quantile n - sqrt(2d/rho) instead of fixed quantiles (ablation)clipped-mean estimator · synthetic dataset, n=500l2 errorHelped
use proposed LDP mean estimator instead of KnownVar coordinate-wise baselinelocal-model mean estimation · Gaussian, n=1e5l2 errorHelped

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