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Bayesian Estimation of Differential Privacy

ICML 2023 · Federated learning and privacy › Differential privacy · approach: Private online and user-level learning · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Joint posterior of (FNR,FPR) with credible intervals instead of separate Clopper-Pearson intervalsBayesian approach for epsilon estimation · SST2 no DP, CIFAR10 (avg and worst case), N=1000credible interval width vs Clopper-Pearson: -34% to -40%Helped
Joint posterior of (FNR,FPR) with credible intervals instead of separate Clopper-Pearson intervalsBayesian approach for epsilon estimation · CIFAR10 worst case eps=10 and SST2 eps=4meaningful interval vs trivial (0, inf)Helped
Jeffreys intervals instead of Clopper-Pearson for FNR/FPRepsilon confidence intervals · CIFAR10 and SST2 (N=1000)interval width vs Clopper-Pearson: -0% to -19%Helped
Heuristic: draw m samples per model (m=10,100,1000) instead of one model per sample (ablation)Bayesian approach on SST2 no DP · SST2 no DP, N=1000credible interval width: 1.6 (m=1) vs 1.4 (m=10, 100, 1000)No clear effect
Heuristic with worst-case challenge points: m=10 and m=100 draws per model (ablation)CIFAR10 DP eps=10 Bayesian estimate · CIFAR10 worst caseCDF absolute error vs m=1 baseline: 0.05No clear effect
Heuristic with worst-case challenge points: single model with m=1000 samples (ablation)CIFAR10 DP eps=10 Bayesian estimate · CIFAR10 worst caseCDF error vs m=1 baselineHurt
Heuristic with average-case challenge points: m=10, 100, 1000 samples per model (ablation)CIFAR10 DP eps=10 Bayesian estimate · CIFAR10 average caselower bound density error vs m=1 baseline: 0 (m=10), 0.001 (m=100, 1000)No clear effect
Heuristic with m samples per model on SST2 DP eps=4 (ablation)Bayesian estimate on RoBERTa SST2 · SST2 eps=4CDF max error vs m=1 baseline: max 0.07No clear effect
Heuristic with m samples per model on SST2 trained without DP (ablation)Bayesian estimate on non-DP RoBERTa SST2 · SST2 no DPCDF error vs m=1 baseline: 0.12 (m=10)Hurt

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