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English(EN) On computing and the complexity of computing higher-order $U$-statistics, exactly

新算法显著加速复杂U统计量的计算

研究人员开发了一种新方法,可以更有效地计算高阶U统计量,这在统计学、机器学习和计算机科学中普遍存在。该论文介绍了一种分解技术,将U统计量转化为更易于处理的V统计量。它还探讨了使用爱因斯坦求和(一种来自量子计算的方法)来加速这些计算。一个配套的开源Python和R包“u-stats”已经发布,展示了比现有方法显著的运行时改进。 AI

影响 这项研究为处理复杂统计模型的机器学习从业者和研究人员提供了一种更有效的计算工具。

排序理由 该集群包含一篇详细介绍新计算方法及其配套开源软件包的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv stat.ML 阅读 →

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新算法显著加速复杂U统计量的计算

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该集群包含一篇详细介绍新计算方法及其配套开源软件包的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Xingyu Chen, Ruiqi Zhang, Lin Liu ·

    关于计算和计算高阶 $U$-统计量的复杂度,精确地

    arXiv:2508.12627v3 Announce Type: replace Abstract: Higher-order $U$-statistics abound in fields such as statistics, machine learning, and computer science, but are known to be highly time-consuming to compute in practice. Despite their widespread appearance, a comprehensive stud…