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.21933568
Primary Topic
Random Matrices and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

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

Alex Shvets
Zenodo (CERN European Organization for Nuclear Research)
Random Matrices and Applications
preprint

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

Alex 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)
Peace, Justice and strong institutions
Random Matrices and Applications
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Fixed-Composition Shuffle Asymptotics in the Full-Support Gaussian Regime — Alex Shvets · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS