probability-statistics / Mathematical statistics

Minimax Rate for Density Estimation under Wasserstein Contamination

What is the minimax optimal error rate for density estimation when observations are perturbed by Wasserstein-bounded contaminations? Chao and Dobriban's 2023 preprint left a gap between upper and lower bounds; the sharp rate is now derived, closing the problem.

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probability-statisticsNov 24, 2025Significance 10/100Registry: unreviewed

Minimax Rate for Density Estimation under Wasserstein Contamination

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What is the minimax optimal error rate for density estimation when observations are perturbed by Wasserstein-bounded contaminations? Chao and Dobriban's 2023 preprint left a gap between upper and lower bounds; the sharp rate is now derived, closing the problem.

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What is the minimax optimal error rate for density estimation when observations are perturbed by Wasserstein-bounded contaminations? Chao and Dobriban's 2023 preprint left a gap between upper and lower bounds; the sharp rate is now derived, closing the problem.

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Minimax Rate for Density Estimation under Wasserstein Contamination — Mathematical Frontier Network