Group Membership Verification with Privacy: Sparse or Dense?
Abstract
Group membership verification checks if a biometric trait corresponds to one member of a group without revealing the identity of that member. Recent contributions provide privacy for group membership protocols through the joint use of two mechanisms: quantizing templates into discrete embeddings and aggregating several templates into one group representation. However, this scheme has one drawback: the data structure representing the group has a limited size and cannot recognize noisy queries when many templates are aggregated. Moreover, the sparsity of the embeddings seemingly plays a crucial role on the performance verification. This paper proposes a mathematical model for group membership verification allowing to reveal the impact of sparsity on both security, compactness, and verification performances. This model bridges the gap towards a Bloom filter robust to noisy queries. It shows that a dense solution is more competitive unless the queries are almost noiseless.
Cite
@article{arxiv.2002.10362,
title = {Group Membership Verification with Privacy: Sparse or Dense?},
author = {Marzieh Gheisari and Teddy Furon and Laurent Amsaleg},
journal= {arXiv preprint arXiv:2002.10362},
year = {2020}
}