Research map / Federated learning and privacy / Differential privacy
Differential Privacy without Sensitivity
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Lipschitz and convex loss with log-concave prior (Gibbs posterior analysis via LSI) instead of bounded loss sensitivity for (eps, delta)-DP | Gibbs posterior / exponential mechanism · theoretical analysis, unbounded parameter space | maximum admissible beta for (eps, delta)-DP | Helped |
| Larger prior precision m_pi (more shrinkage) in the Gibbs posterior | Gibbs 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 setting | Gibbs posterior with strongly convex loss (Theorem 10) · theoretical analysis | tail bound right-hand side in (9) | Helped |
| Approximate Gibbs sampling via Langevin Monte Carlo with total variation error gamma | Gibbs posterior sampler · theoretical analysis (Proposition 13) | privacy guarantee (eps, delta + (1+e^eps) gamma) | No clear effect |
Closest papers by meaning
- Benefits and Pitfalls of the Exponential Mechanism with Applications to Hilbert Spaces and Functional PCA (ICML 2019 · similarity 0.91)
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- Privacy Guarantees in Posterior Sampling under Contamination (NeurIPS 2026 · similarity 0.88)
- On Inherent Privacy of Posterior Sampling: A Unified R\'enyi-Divergence Framework (NeurIPS 2026 · similarity 0.88)
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