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math.ST2026
Sharp Minimax Rates for Smooth Two-Sample Testing under Central Differential Privacy
Ilmun Kim
We establish sharp minimax limits for two-sample testing of Hölder-smooth densities under central differential privacy. Given two independent samples, the goal is to decide whethe…
math.ST2026
High-Confidence Minimax Testing with Prescribed Errors
Ilmun Kim
Classical minimax lower bounds for testing are typically derived for fixed error probabilities, while high-confidence results often impose a common failure probability. We study pr…