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Private Network Counts Reach the Noninteractive Limit

A local node-differential-privacy algorithm counts any constant-size template subgraph with near-optimal additive error.

Published Updated Story ID: mp-2026-10-17-017
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Summary

A local node-differential-privacy algorithm counts any constant-size template subgraph with near-optimal additive error.

The matching lower bound establishes the first polynomial-in-n separation between central and local node privacy for accuracy on all input graphs. The result is theoretical and expands beyond prior degree-distribution statistics; it is not a deployment benchmark.

Why it matters

A local node-differential-privacy algorithm counts any constant-size template subgraph with near-optimal additive error.

Limits and context

  • The result is theoretical and expands beyond prior degree-distribution statistics; it is not a deployment benchmark.

Key claims

  1. A local node-differential-privacy algorithm counts any constant-size template subgraph with near-optimal additive error.

    Qualification: The result is theoretical and expands beyond prior degree-distribution statistics; it is not a deployment benchmark.

    Evidence: source-2026-10-17-019

Sources

  1. arXiv preprint 2610.22278, original v1arXiv · primary research

Corrections

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