Comparing privacy notions for protection against reconstruction attacks in machine learning

Fuente: arXiv
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Autori principali: Biswas, Sayan, Dras, Mark, Faustini, Pedro, Fernandes, Natasha, McIver, Annabelle, Palamidessi, Catuscia, Sadeghi, Parastoo
Natura: Preprint
Pubblicazione: 2025
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author Biswas, Sayan
Dras, Mark
Faustini, Pedro
Fernandes, Natasha
McIver, Annabelle
Palamidessi, Catuscia
Sadeghi, Parastoo
author_facet Biswas, Sayan
Dras, Mark
Faustini, Pedro
Fernandes, Natasha
McIver, Annabelle
Palamidessi, Catuscia
Sadeghi, Parastoo
contents Within the machine learning community, reconstruction attacks are a principal concern and have been identified even in federated learning (FL), which was designed with privacy preservation in mind. In response to these threats, the privacy community recommends the use of differential privacy (DP) in the stochastic gradient descent algorithm, termed DP-SGD. However, the proliferation of variants of DP in recent years\textemdash such as metric privacy\textemdash has made it challenging to conduct a fair comparison between different mechanisms due to the different meanings of the privacy parameters $ε$ and $δ$ across different variants. Thus, interpreting the practical implications of $ε$ and $δ$ in the FL context and amongst variants of DP remains ambiguous. In this paper, we lay a foundational framework for comparing mechanisms with differing notions of privacy guarantees, namely $(ε,δ)$-DP and metric privacy. We provide two foundational means of comparison: firstly, via the well-established $(ε,δ)$-DP guarantees, made possible through the Rényi differential privacy framework; and secondly, via Bayes' capacity, which we identify as an appropriate measure for reconstruction threats.
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id arxiv_https___arxiv_org_abs_2502_04045
institution arXiv
publishDate 2025
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spellingShingle Comparing privacy notions for protection against reconstruction attacks in machine learning
Biswas, Sayan
Dras, Mark
Faustini, Pedro
Fernandes, Natasha
McIver, Annabelle
Palamidessi, Catuscia
Sadeghi, Parastoo
Machine Learning
Cryptography and Security
Information Theory
Within the machine learning community, reconstruction attacks are a principal concern and have been identified even in federated learning (FL), which was designed with privacy preservation in mind. In response to these threats, the privacy community recommends the use of differential privacy (DP) in the stochastic gradient descent algorithm, termed DP-SGD. However, the proliferation of variants of DP in recent years\textemdash such as metric privacy\textemdash has made it challenging to conduct a fair comparison between different mechanisms due to the different meanings of the privacy parameters $ε$ and $δ$ across different variants. Thus, interpreting the practical implications of $ε$ and $δ$ in the FL context and amongst variants of DP remains ambiguous. In this paper, we lay a foundational framework for comparing mechanisms with differing notions of privacy guarantees, namely $(ε,δ)$-DP and metric privacy. We provide two foundational means of comparison: firstly, via the well-established $(ε,δ)$-DP guarantees, made possible through the Rényi differential privacy framework; and secondly, via Bayes' capacity, which we identify as an appropriate measure for reconstruction threats.
title Comparing privacy notions for protection against reconstruction attacks in machine learning
topic Machine Learning
Cryptography and Security
Information Theory
url https://arxiv.org/abs/2502.04045