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cpSGD: Communication-efficient and differentially-private distributed SGD

NeurIPS 2018 · Federated learning and privacy › Differential privacy · approach: DP-SGD refinements · 184 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add randomized Walsh-Hadamard rotation before quantization (ablation)Stochastic k-level quantization + Binomial mechanism · Distributed mean estimationcommunication: n \cdot d \cdot \left(\log_2 \left(\sqrt{d} + \frac{d}{n \varepsilon^2} \right) + \mathcal{O}( \log \log \left(\frac{nd}Helped
Add randomized Walsh-Hadamard rotation before quantization (ablation)Stochastic k-level quantization + Binomial mechanism · Distributed mean estimationmean squared error: \frac{dD^2}{n(k-1)^2} + \frac{d}{n}\cdot\frac{4mp(1-p) D^2}{(k-1)^2} -> \frac{2 \log \frac{2nd}{\delta} \cdot D^2}{n(k-1Helped
Use the Binomial mechanism instead of Gaussian noisePrivacy mechanism for discrete-valued data · Binomial mechanismutility at a given privacy levelNo clear effect
Improve the sufficient N bound for the p = 1/2 Binomial mechanismBinomial mechanism · Differentially private discrete query releaserequired N: N needs to be ≥ 64 log(2/δ)/ε^2 -> N ≥ 8 log(2/δ)/ε^2Helped

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