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On the Differential Privacy of Bayesian Inference

AAAI 2016 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 37 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add Fourier-domain perturbation (stealth, consistent updates) in place of direct Laplace noise on posterior updates (ablation)private Bayesian naive Bayes · synthetic naive Bayes, 50 training examplesclassification accuracyHurt
use posterior sampler instead of Laplace mechanisms at larger epsilonprivate Bayesian naive Bayes · synthetic naive Bayes, 50 training examplesclassification accuracyHelped
use posterior sampler at small epsilon (large trimming probability)private Bayesian naive Bayes · synthetic naive Bayes, 50 training examplesclassification accuracyHurt
add differential privacy noise to naive Bayes posteriorBayesian naive Bayes · synthetic naive Bayes, 50 training examplesclassification accuracyHurt
make the prior more concentrated (larger precision b)private Bayesian linear regression · IPUMS census, annual incomeMSEHurt
private posterior sampling instead of non-private linear regressionBayesian linear regression · IPUMS census, annual incomeMSEHurt

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