Researchers have published new bounds for estimating discrete probability distributions using the $\ell_\infty$ norm. The work provides minimax bounds in expectation and high-probability tail bounds. This research resolves open questions from Kontorovich and Painsky (JMLR, 2025), including an empirical version of their tightest risk bound and the identification of the worst-case extremal distribution. AI
IMPACT Advances theoretical understanding in statistical machine learning, potentially impacting future model development and evaluation.
RANK_REASON This is a research paper published on arXiv detailing new theoretical bounds and empirical results for a specific statistical estimation problem.
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