Paper 2018/277
Approximate and Probabilistic Differential Privacy Definitions
Sebastian Meiser
Abstract
This technical report discusses three subtleties related to the widely used notion of differential privacy (DP). First, we discuss how the choice of a distinguisher influences the privacy notion and why we should always have a distinguisher if we consider approximate DP. Secondly, we draw a line between the very intuitive probabilistic differential privacy (with probability $1-\delta$ we have $\varepsilon$-DP) and the commonly used approximate differential privacy ($(\varepsilon,\delta)$-DP). Finally we see that and why probabilistic differential privacy (and similar notions) are not complete under post-processing, which has significant implications for notions used in the literature.
Note: Added important citation to Kifer et al.
Metadata
- Available format(s)
- Category
- Foundations
- Publication info
- Preprint. MINOR revision.
- Keywords
- differential privacyfoundations
- Contact author(s)
- s meiser @ ucl ac uk
- History
- 2018-11-01: last of 3 revisions
- 2018-03-22: received
- See all versions
- Short URL
- https://ia.cr/2018/277
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2018/277, author = {Sebastian Meiser}, title = {Approximate and Probabilistic Differential Privacy Definitions}, howpublished = {Cryptology {ePrint} Archive, Paper 2018/277}, year = {2018}, url = {https://eprint.iacr.org/2018/277} }