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Lossless Compression of Efficient Private Local Randomizers

ICML 2021 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace full RAPPOR bit-vector reports with pairwise-independent affine-function reportsRAPPOR for frequency estimation · Frequency estimationvariance per countNo clear effect
Replace full RAPPOR bit-vector reports with pairwise-independent affine-function reportsRAPPOR for frequency estimation · Frequency estimationcommunication: k bits -> 2 \lceil \log_2 p\rceil bitsHelped
Compress an efficient LDP randomizer using PRG-generated randomness and rejection samplingEfficient LDP randomizers · General LDP protocolscommunication: linear in the dimension -> O(\log(T+T(\mathcal{R},G,\gamma))Helped
Compress PrivUnit using the general PRG-based methodPrivUnit · Mean estimationcommunication: \Omega(d) -> O(\log d + \eps) bitsHelped
Use the simple low-communication randomizer after reducing the ε > 1 case to ε < 1Mean estimation · Mean estimationrunning time: O(e^\eps d) -> O( \lceil \eps \rceil d)Helped
Use Kashin-representation-based low-communication mean estimation instead of PrivUnitMean estimation · Mean estimationvariance: nearly a factor of 5\times largerHurt

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