Privacy Structure and Blackwell Frontier

Zhang Xu; Wei Zhao

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arXiv · 2511.10226

Privacy Structure and Blackwell Frontier

Zhang Xu·Wei Zhao

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Abstract

This paper characterizes the set of feasible posterior distributions subject to graph-based inferential privacy constraint, including both differential and inferential privacy. This characterization can be done through enumerating all extreme points of the feasible posterior set. A connection between extreme posteriors and strongly connected semi-chains is then established. All these semi-chains can be constructed through successive unfolding operations on semi-chains with two partitions, which can be constructed through classical spanning tree algorithm. A sharper characterization of semi-chains with two partitions for differential privacy is provided.

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Zhang Xu, Wei Zhao. 2025-11-13. Privacy Structure and Blackwell Frontier. https://arxiv.org/abs/2511.10226

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