The article discusses the instance-specific error bounds achievable through the clipping mechanism in the shuffle model of differential privacy. It introduces a protocol that partitions the domain to estimate sums efficiently, achieving optimal error rates without splitting privacy budgets. The protocol ensures (ε, δ)-DP and minimizes communication complexity while maintaining accuracy.
The authors propose a one-round solution for high-dimensional sum estimation, improving upon existing two-round protocols. By leveraging domain partitioning and parallel composition, they achieve optimal error bounds with practical implementation.
Overall, the article presents innovative approaches to enhance privacy-preserving sum estimation under differential privacy constraints.
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