新研究探讨了带幂切片 Wasserstein泛函的 Minimax 速率

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-12 04:00

本文深入研究了带幂切片 Wasserstein 泛函的统计估计问题，特别关注两种不同样本量的情况。研究在特定的矩假设下建立了估计的 Minimax 速率，并详细说明了这些速率如何根据样本量和矩阶数之间的关系而变化。研究还指出了局限性，例如在端点 $r=p$ 处不可能进行一致估计，以及在临界情况 $r=2p$ 下确切的 Minimax 速率仍是一个悬而未决的问题。 AI

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arXiv stat.ML TIER_1 English(EN) · Binh Thuan Tran · 2026-10-12 04:00

Minimax 估计带幂切片 Wasserstein泛函的速率

arXiv:2610.12740v1 Announce Type: cross Abstract: We study the two-sample estimation of the powered Sliced Wasserstein functional under projected $r$-th moment assumptions. Let $N=n\wedge m$, where $n$ and $m$ are two sample sizes. We establish the minimax rates in the noncritica…

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Minimax 估计带幂切片 Wasserstein泛函的速率

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