Universal Asymptotics for Jensen–Shannon Divergence in the Shuffle Model

Key Points

• The research aims to establish universal asymptotic results for Jensen–Shannon divergence in a shuffle model.
• Derivation of asymptotic expansions for JSD with fixed local randomizers.
• Statistical analysis using Berry–Esseen bounds.
• Comparison of explicit (ε,δ) curves against FMT amplification bounds.
• Established a universal expansion for JSD incorporating χ² and higher order terms.
• Demonstrated μ-GDP equivalence yielding tighter bounds than previous models.