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Differentially Private Bayesian Inference for Exponential Families

NeurIPS 2018 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Account for Laplace release noise when inferring the posterior from noisy sufficient statisticsGibbs sampler · Binomial, multinomial, and exponential modelscalibration (Kolmogorov-Smirnov statistic)Helped
Ignore the noise in the released sufficient statisticsNaive method · Binomial, multinomial, and exponential models; moderate ncalibration (Kolmogorov-Smirnov statistic)Hurt
Increase n and ε so privacy noise becomes negligible relative to population sizeNaive method · Binomial, multinomial, and exponential modelscalibration (Kolmogorov-Smirnov statistic)Helped
Release samples from an over-dispersed privatized posteriorOPS · Binomial modelcalibration (Kolmogorov-Smirnov statistic)Hurt
Use noise-aware Gibbs inference instead of the naive methodPrivate posterior inference · Binomial and multinomial modelsMMD to non-private posteriorHelped

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