List Privacy Under Function Recoverability

Ajaykrishnan Nageswaran; Prakash Narayan

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arXiv · 2307.05828

List Privacy Under Function Recoverability

Ajaykrishnan Nageswaran·Prakash Narayan

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Abstract

For a given function of user data, a querier must recover with at least a prescribed probability, the value of the function based on a user-provided query response. Subject to this requirement, the user forms the query response so as to minimize the likelihood of the querier guessing a list of prescribed size to which the data value belongs based on the query response. We obtain a general converse upper bound for maximum list privacy. This bound is shown to be tight for the case of a binary-valued function through an explicit achievability scheme that involves an add-noise query response.

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Ajaykrishnan Nageswaran, Prakash Narayan. 2023-07-11. List Privacy Under Function Recoverability. https://arxiv.org/abs/2307.05828

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