The power of the dinur-nissim algorithm
Krzysztof Choromański, Tal Malkin · 2012
A few years ago, Dinur and Nissim (PODS, 2003) proposed an algorithm for breaking database privacy when statistical queries are answered with a perturbation error of magnitude o(√n) for a database of size n. This negative result is very strong in the sense that it completely reconstructs Ω(n) data bits with an algorithm that is simple, uses random queries, and does not put any restriction on the perturbation other than its magnitude. Their algorithm works for a model where the database consists of bits, and the statistical queries asked by the adversary are sum queries for a subset of locations.