The content delves into weakly private information retrieval (W-PIR) in scenarios with heterogeneity in server trustfulness. It introduces a code construction for efficient retrieval while maintaining privacy under different metrics. The paper discusses the challenges of preventing servers from deducing user queries and presents an optimal probability allocation strategy for W-PIR under both maximal leakage and mutual information metrics. The study provides insights into achieving a balance between privacy preservation and efficient data retrieval.
Private information retrieval systems aim to protect user privacy during data access, with efficiency measured by PIR capacity. Weakly Private Information Retrieval (W-PIR) relaxes privacy constraints for higher retrieval rates. The content focuses on optimizing probability distributions to balance privacy leakage and download efficiency. It addresses scenarios where some servers are more trustworthy than others, proposing a code construction that separates private and non-private parts efficiently.
In the Max-L metric setting, the optimal solution involves probabilistic sharing between traditional PIR codes and direct downloads from the most trustworthy server. For the MI metric, explicit probability assignments are given for homogeneous cases but become complex for heterogeneous settings. The study establishes theoretical analyses supported by numerical results to validate the proposed strategies.
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