Title
Secure Random Sampling in Differential Privacy
Abstract
Differential privacy is among the most prominent techniques for preserving privacy of sensitive data, oweing to its robust mathematical guarantees and general applicability to a vast array of computations on data, including statistical analysis and machine learning. Previous work demonstrated that concrete implementations of differential privacy mechanisms are vulnerable to statistical attacks. This vulnerability is caused by the approximation of real values to floating point numbers. This paper presents a practical solution to the finite-precision floating point vulnerability, where the inverse transform sampling of the Laplace distribution can itself be inverted, thus enabling an attack where the original value can be retrieved with non-negligible advantage. The proposed solution has the advantages of being (i) mathematically sound, (ii) generalisable to any infinitely divisible probability distribution, and (iii) of simple implementation in modern architectures. Finally, the solution has been designed to make side channel attack infeasible, because of inherently exponential, in the size of the domain, brute force attacks.
Year
DOI
Venue
2021
10.1007/978-3-030-88428-4_26
COMPUTER SECURITY - ESORICS 2021, PT II
Keywords
DocType
Volume
Differential privacy, Random numbers, Computational complexity
Conference
12973
ISSN
Citations 
PageRank 
0302-9743
1
0.35
References 
Authors
0
2
Name
Order
Citations
PageRank
Naoise Holohan110.35
Stefano Braghin23810.43