Sub-optimal Learning in Meta-Classifier Attacks: A Study of Membership Inference on Differentially Private Location Aggregates

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Liu, Yuhan, Guepin, Florent, Shilov, Igor, De Montjoye, Yves-Alexandre
Natura: Preprint
Pubblicazione: 2024
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866915084303859712
author Liu, Yuhan
Guepin, Florent
Shilov, Igor
De Montjoye, Yves-Alexandre
author_facet Liu, Yuhan
Guepin, Florent
Shilov, Igor
De Montjoye, Yves-Alexandre
contents The widespread collection and sharing of location data, even in aggregated form, raises major privacy concerns. Previous studies used meta-classifier-based membership inference attacks~(MIAs) with multi-layer perceptrons~(MLPs) to estimate privacy risks in location data, including when protected by differential privacy (DP). In this work, however, we show that a significant gap exists between the expected attack accuracy given by DP and the empirical attack accuracy even with informed attackers (also known as DP attackers), indicating a potential underestimation of the privacy risk. To explore the potential causes for the observed gap, we first propose two new metric-based MIAs: the one-threshold attack and the two-threshold attack. We evaluate their performances on real-world location data and find that different data distributions require different attack strategies for optimal performance: the one-threshold attack is more effective with Gaussian DP noise, while the two-threshold attack performs better with Laplace DP noise. Comparing their performance with one of the MLP-based attack models in previous works shows that the MLP only learns the one-threshold rule, leading to a suboptimal performance under the Laplace DP noise and an underestimation of the privacy risk. Second, we theoretically prove that MLPs can encode complex rules~(\eg, the two-threshold attack rule), which can be learned when given a substantial amount of training data. We conclude by discussing the implications of our findings in practice, including broader applications extending beyond location aggregates to any differentially private datasets containing multiple observations per individual and how techniques such as synthetic data generation and pre-training might enable MLP to learn more complex optimal rules.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20456
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sub-optimal Learning in Meta-Classifier Attacks: A Study of Membership Inference on Differentially Private Location Aggregates
Liu, Yuhan
Guepin, Florent
Shilov, Igor
De Montjoye, Yves-Alexandre
Cryptography and Security
The widespread collection and sharing of location data, even in aggregated form, raises major privacy concerns. Previous studies used meta-classifier-based membership inference attacks~(MIAs) with multi-layer perceptrons~(MLPs) to estimate privacy risks in location data, including when protected by differential privacy (DP). In this work, however, we show that a significant gap exists between the expected attack accuracy given by DP and the empirical attack accuracy even with informed attackers (also known as DP attackers), indicating a potential underestimation of the privacy risk. To explore the potential causes for the observed gap, we first propose two new metric-based MIAs: the one-threshold attack and the two-threshold attack. We evaluate their performances on real-world location data and find that different data distributions require different attack strategies for optimal performance: the one-threshold attack is more effective with Gaussian DP noise, while the two-threshold attack performs better with Laplace DP noise. Comparing their performance with one of the MLP-based attack models in previous works shows that the MLP only learns the one-threshold rule, leading to a suboptimal performance under the Laplace DP noise and an underestimation of the privacy risk. Second, we theoretically prove that MLPs can encode complex rules~(\eg, the two-threshold attack rule), which can be learned when given a substantial amount of training data. We conclude by discussing the implications of our findings in practice, including broader applications extending beyond location aggregates to any differentially private datasets containing multiple observations per individual and how techniques such as synthetic data generation and pre-training might enable MLP to learn more complex optimal rules.
title Sub-optimal Learning in Meta-Classifier Attacks: A Study of Membership Inference on Differentially Private Location Aggregates
topic Cryptography and Security
url https://arxiv.org/abs/2412.20456