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Research map / Federated learning and privacy / Differential privacy

Differential Privacy without Sensitivity

NeurIPS 2016 · Federated learning and privacy › Differential privacy · approach: Private data analysis frameworks · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Lipschitz and convex loss with log-concave prior (Gibbs posterior analysis via LSI) instead of bounded loss sensitivity for (eps, delta)-DPGibbs posterior / exponential mechanism · theoretical analysis, unbounded parameter spacemaximum admissible beta for (eps, delta)-DPHelped
Larger prior precision m_pi (more shrinkage) in the Gibbs posteriorGibbs posterior with Lipschitz convex loss · theoretical analysis (Corollary 8)upper bound on beta for (eps, delta)-DP, proportional to sqrt(m_pi)Helped
Increase dataset size n in strongly convex loss settingGibbs posterior with strongly convex loss (Theorem 10) · theoretical analysistail bound right-hand side in (9)Helped
Approximate Gibbs sampling via Langevin Monte Carlo with total variation error gammaGibbs posterior sampler · theoretical analysis (Proposition 13)privacy guarantee (eps, delta + (1+e^eps) gamma)No clear effect

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