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Exact Optimality of Communication-Privacy-Utility Tradeoffs in Distributed Mean Estimation

NeurIPS 2023 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RRSC instead of SQKRMean estimation under communication and ε-LDP constraints · Simulated distribution-free mean estimationℓ2 errorHelped
Use RRSC instead of MMRCMean estimation under communication and ε-LDP constraints · Simulated distribution-free mean estimationℓ2 errorHelped
Use RRSC with a small communication budget instead of PrivUnitG without a communication constraintMean estimation · Simulated distribution-free mean estimationℓ2 errorNo clear effect
Increase the communication budget for the k-closest schemeRRSC · Mean estimation under ε-LDPMSEHelped
Use a rotationally symmetric codebook rather than an arbitrary codebook (ablation)Shared-randomness mean estimation mechanism · Worst-case mean estimation under ε-LDPworst-case MSEHelped
Use k-closest probability assignment rather than another ε-LDP assignment (ablation)Randomly rotating simplex codebook · Worst-case mean estimation under ε-LDPMSEHelped

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