Showing 2026 · math.STShow all
3 papers · 2 filters
math.ST2026
Minimax Wasserstein Testing under Differential Privacy
Bonwoo Lee, Ilmun Kim, Cheolwoo Park
We study Wasserstein- goodness-of-fit and two-sample testing under differential privacy. For general compact metric spaces, we establish upper and lower bounds on the minimax se…
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 whether…
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…