The analysis shows the expanded Jensen–Shannon divergence in Gaussian secure aggregation, suggesting a contrast with randomized response.
This release provides the exact asymptotic expansion of the Jensen–Shannon divergence between neighboring datasets in the Gaussian secure aggregation model. We proveJSD = SNR/(8n) − SNR²/(64n²) + O(n⁻³),with a negative second-order coefficient, highlighting a qualitative contrast with discrete randomized response. The result establishes the universal leading-order relation JSD = χ²_agg/8 + O((χ²_agg)²). This version updates and supersedes the previous Zenodo record, incorporating a complete mathematical audit and independent numerical verification.
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Alex B. Shvets (2026) studied this question.
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