Minimax Rate for Density Estimation under Wasserstein Contamination
Statement
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.
Context
An open gap from a documented 2023 preprint in robust statistics, specialist but with a real minimax-rates literature around it.
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A note written expressly to document the workflow: starting October 2025, "making significant use of GPT-5 Pro, we were able to derive the minimax optimal error rate." The model suggested calculations the authors had not thought of and techniques unfamiliar to them; the note also records the AI's limitations in its own section.
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