On the Impact of Uncertainty and Calibration on Likelihood-Ratio Membership Inference Attacks

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Hauptverfasser: Zhu, Meiyi, Guo, Caili, Feng, Chunyan, Simeone, Osvaldo
Format: Preprint
Veröffentlicht: 2024
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author Zhu, Meiyi
Guo, Caili
Feng, Chunyan
Simeone, Osvaldo
author_facet Zhu, Meiyi
Guo, Caili
Feng, Chunyan
Simeone, Osvaldo
contents In a membership inference attack (MIA), an attacker exploits the overconfidence exhibited by typical machine learning models to determine whether a specific data point was used to train a target model. In this paper, we analyze the performance of the likelihood ratio attack (LiRA) within an information-theoretical framework that allows the investigation of the impact of the aleatoric uncertainty in the true data generation process, of the epistemic uncertainty caused by a limited training data set, and of the calibration level of the target model. We compare three different settings, in which the attacker receives decreasingly informative feedback from the target model: confidence vector (CV) disclosure, in which the output probability vector is released; true label confidence (TLC) disclosure, in which only the probability assigned to the true label is made available by the model; and decision set (DS) disclosure, in which an adaptive prediction set is produced as in conformal prediction. We derive bounds on the advantage of an MIA adversary with the aim of offering insights into the impact of uncertainty and calibration on the effectiveness of MIAs. Simulation results demonstrate that the derived analytical bounds predict well the effectiveness of MIAs.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10686
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Impact of Uncertainty and Calibration on Likelihood-Ratio Membership Inference Attacks
Zhu, Meiyi
Guo, Caili
Feng, Chunyan
Simeone, Osvaldo
Information Theory
Cryptography and Security
Machine Learning
Signal Processing
In a membership inference attack (MIA), an attacker exploits the overconfidence exhibited by typical machine learning models to determine whether a specific data point was used to train a target model. In this paper, we analyze the performance of the likelihood ratio attack (LiRA) within an information-theoretical framework that allows the investigation of the impact of the aleatoric uncertainty in the true data generation process, of the epistemic uncertainty caused by a limited training data set, and of the calibration level of the target model. We compare three different settings, in which the attacker receives decreasingly informative feedback from the target model: confidence vector (CV) disclosure, in which the output probability vector is released; true label confidence (TLC) disclosure, in which only the probability assigned to the true label is made available by the model; and decision set (DS) disclosure, in which an adaptive prediction set is produced as in conformal prediction. We derive bounds on the advantage of an MIA adversary with the aim of offering insights into the impact of uncertainty and calibration on the effectiveness of MIAs. Simulation results demonstrate that the derived analytical bounds predict well the effectiveness of MIAs.
title On the Impact of Uncertainty and Calibration on Likelihood-Ratio Membership Inference Attacks
topic Information Theory
Cryptography and Security
Machine Learning
Signal Processing
url https://arxiv.org/abs/2402.10686