6 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…
A Sharper Hoeffding Bound for Weighted Sums of Exchangeable Random Variables
Seongchan Lee, Ilmun Kim
We prove a Hoeffding-type moment generating function bound for weighted sums of bounded exchangeable random variables centered by their finite-population average. The bound reduces…
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…
Aggregation of Statistical Evidence under Exchangeability
Antonin Schrab, Rajen Shah, Arthur Gretton +1
We study aggregation of statistical evidence under unknown and potentially complex dependence using group-invariance. Building on permutation-based constructions that treat transfo…
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…
More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests
Suman Cha, Seongchan Lee, Antonin Schrab +1
Monte Carlo permutation tests are a cornerstone of valid, model-free statistical inference. A widely held practical intuition is that increasing the number of sampled permutations…