4 papers · 1 filter
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…
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…
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…
Differentially Private Permutation Tests
Ilmun Kim, Antonin Schrab
Recent years have witnessed growing concerns about the privacy of sensitive data. In response to these concerns, differential privacy has emerged as a rigorous framework for privac…