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• W3136128706 abstract "In this paper, we study a stochastic disclosure control problem using information-theoretic methods. The useful data to be disclosed depend on private data that should be protected. Thus, we design a privacy mechanism to produce new data which maximizes the disclosed information about the useful data under a strong $chi^2$-privacy criterion. For sufficiently small leakage, the privacy mechanism design problem can be geometrically studied in the space of probability distributions by a local approximation of the mutual information. By using methods from Euclidean information geometry, the original highly challenging optimization problem can be reduced to a problem of finding the principal right-singular vector of a matrix, which characterizes the optimal privacy mechanism. In two extensions we first consider a scenario where an adversary receives a noisy version of the user's message and then we look for a mechanism which finds $U$ based on observing $X$, maximizing the mutual information between $U$ and $Y$ while satisfying the privacy criterion on $U$ and $Z$ under the Markov chain $(Z,Y)-X-U$." @default.
• W3136128706 created "2021-03-29" @default.
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• W3136128706 date "2021-01-01" @default.
• W3136128706 modified "2023-10-01" @default.
• W3136128706 title "A Design Framework for Strongly <i>χ</i>²-Private Data Disclosure" @default.
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• W3136128706 doi "https://doi.org/10.1109/tifs.2021.3053462" @default.
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