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Using a recently proposed privacy definition of R\'enyi Differential Privacy (RDP), we re-examine the inherent privacy of releasing a single sample from a posterior distribution.
Geometric random walks: a survey
S. Vempala · 2005
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When random sampling preserves privacy
K. Chaudhuri and N. Mishra · 2006
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Our data, ourselves: Privacy via distributed noise generation
C. Dwork, K. Kenthapadi, F. McSherry, I. Mironov, and M. Naor · 2006
Earlier work this paper cites.
Statistical decision theory
F. Liese and K.-J. Miescke · 2007
Earlier work this paper cites.
Privacy: Theory meets practice on the map
A. Machanavajjhala, D. Kifer, J. Abowd, J. Gehrke, and L. Vilhuber · 2008
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Differential privacy and robust statistics
C. Dwork and J. Lei · 2009
Earlier work this paper cites.
Signal processing and machine learning with differential privacy: Algorithms and challenges for continuous data
A. D. Sarwate and K. Chaudhuri · 2013
Earlier work this paper cites.
Differentially private feature selection via stability arguments, and the robustness of the lasso
A. G. Thakurta and A. Smith · 2013
Cited alongside, same era.
The large margin mechanism for differentially private maximization
K. Chaudhuri, D. Hsu, and S. Song · 2014
Cited alongside, same era.
Robust and private Bayesian inference
C. Dimitrakakis, B. Nelson, A. Mitrokotsa, and B. I. Rubinstein · 2014
Cited alongside, same era.
The algorithmic foundations of differential privacy
C. Dwork, A. Roth, et al · 2014
Cited alongside, same era.
Differentially private release and learning of threshold functions
M. Bun, K. Nissim, U. Stemmer, and S. Vadhan · 2015
Cited alongside, same era.
Privacy for free: Posterior sampling and stochastic gradient Monte Carlo
Y.-X. Wang, S. E. Fienberg, and A. Smola · 2015
Cited alongside, same era.
Concentrated differential privacy
C. Dwork and G. N. Rothblum · 2016
Later among the works it cites.
On the theory and practice of privacy-preserving bayesian data analysis
J. Foulds, J. Geumlek, M. Welling, and K. Chaudhuri · 2016
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Differential privacy without sensitivity
K. Minami, H. Arai, I. Sato, and H. Nakagawa · 2016
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On-average kl-privacy and its equivalence to generalization for max-entropy mechanisms
Y.-X. Wang, J. Lei, and S. E. Fienberg · 2016
Later among the works it cites.
On the differential privacy of Bayesian inference
Z. Zhang, B. Rubinstein, and C. Dimitrakakis · 2016
Later among the works it cites.
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Concentrated differential privacy: Simplifications, extensions, and lower bounds
M. Bun and T. Steinke · 2016
Cited alongside, same era.
F. McSherry · 2017
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I. Mironov · 2017
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