Author

Ilmun Kim

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Preprint Jul 2026

Sharp Minimax Rates for Smooth Two-Sample Testing under Central Differential Privacy

We establish sharp minimax limits for two-sample testing of H\"older-smooth densities under central differential privacy. Given two independent samples, the goal is to decide whether the underlying distributions are identical or separated in $L_1$ distance, while releasing only an $\varepsilon$-differentially private d...

Ilmun Kim · 0 citations