Fixed-Composition Shuffle Asymptotics in the Full-Support Gaussian Regime

Fixed-composition shuffle asymptotics in the full-support regime. We identify the Fisher parameter I_pi = v^T Sigma_pi^+ v, prove JSD(T_{n,k} || T_{n,k+1}) = I_pi/(8n) + O(n^-2), and derive the local privacy-curve expansion delta(t mu_n) = mu_n{phi(t) - t Phi(-t)} + O(n^-1), where mu_n = sqrt(I_pi/n). Exact finite-n accounting formulas are also provided.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-14
DOI
https://doi.org/10.5281/zenodo.18112202
Primary Topic
Privacy-Preserving Technologies in Data
Type
preprint
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preprint

Fixed-Composition Shuffle Asymptotics in the Full-Support Gaussian Regime

Alex B. Shvets
Zenodo (CERN European Organization for Nuclear Research)
Privacy-Preserving Technologies in Data
preprint

Fixed-Composition Shuffle Asymptotics in the Full-Support Gaussian Regime

Alex B. Shvets
preprint en

Abstract

Fixed-composition shuffle asymptotics in the full-support regime. We identify the Fisher parameter I_pi = v^T Sigma_pi^+ v, prove JSD(T_{n,k} || T_{n,k+1}) = I_pi/(8n) + O(n^-2), and derive the local privacy-curve expansion delta(t mu_n) = mu_n{phi(t) - t Phi(-t)} + O(n^-1), where mu_n = sqrt(I_pi/n). Exact finite-n accounting formulas are also provided.

Zenodo (CERN European Organization for Nuclear Research)
Privacy-Preserving Technologies in Data
DOIOpen Access PDFOpenAlex
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Fixed-Composition Shuffle Asymptotics in the Full-Support Gaussian Regime — Alex B. Shvets · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS