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.
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No person has examined this. Nothing here has been checked at all. say whether it holds →
proof attempt · #1
Edgar Dobriban, using GPT-5 ProThat credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.
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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