Bayesian Adversarial Privacy

Fuente: arXiv
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Hauptverfasser: Bell, Cameron, Johnston, Timothy, Luciano, Antoine, Robert, Christian P
Format: Preprint
Veröffentlicht: 2026
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author Bell, Cameron
Johnston, Timothy
Luciano, Antoine
Robert, Christian P
author_facet Bell, Cameron
Johnston, Timothy
Luciano, Antoine
Robert, Christian P
contents Theoretical and applied research into privacy encompasses an incredibly broad swathe of differing approaches, emphasis and aims. This work introduces a new quantitative notion of privacy that is both contextual and specific. We argue that it provides a more meaningful notion of privacy than the widely utilised framework of differential privacy and a more explicit and rigorous formulation than what is commonly used in statistical disclosure theory. Our definition relies on concepts inherent to standard Bayesian decision theory, while departing from it in several important respects. In particular, the party controlling the release of sensitive information should make disclosure decisions from the prior viewpoint, rather than conditional on the data, even when the data is itself observed. Illuminating toy examples and computational methods are discussed in high detail in order to highlight the specificities of the method.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04199
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bayesian Adversarial Privacy
Bell, Cameron
Johnston, Timothy
Luciano, Antoine
Robert, Christian P
Statistics Theory
Cryptography and Security
Machine Learning
Methodology
Theoretical and applied research into privacy encompasses an incredibly broad swathe of differing approaches, emphasis and aims. This work introduces a new quantitative notion of privacy that is both contextual and specific. We argue that it provides a more meaningful notion of privacy than the widely utilised framework of differential privacy and a more explicit and rigorous formulation than what is commonly used in statistical disclosure theory. Our definition relies on concepts inherent to standard Bayesian decision theory, while departing from it in several important respects. In particular, the party controlling the release of sensitive information should make disclosure decisions from the prior viewpoint, rather than conditional on the data, even when the data is itself observed. Illuminating toy examples and computational methods are discussed in high detail in order to highlight the specificities of the method.
title Bayesian Adversarial Privacy
topic Statistics Theory
Cryptography and Security
Machine Learning
Methodology
url https://arxiv.org/abs/2603.04199