English(EN) A Fine-Grained Understanding of Uniform Convergence for Halfspaces

新研究对半空间的均匀收敛提供了细粒度理解

作者 PulseAugur 编辑部 · [1 个来源] · 2026-05-08 04:00

研究人员发表了一篇论文，详细介绍了对半空间均匀收敛的细粒度理解，该理解超越了标准的VC界限。研究表明，对于$\\mathbb{R}^d$中的非齐次半空间，一致的假设仍然会产生显著的总体误差。然而，\\mathbb{R}^2$中的齐次半空间表现出不同的收敛行为，对均匀收敛的近乎完整的图景已经确立，突显了尖锐的维度和结构阈值。 AI

影响为机器学习算法设计和分析中相关的收敛特性提供了理论理解。

排序理由这是一篇在arXiv上发表的关于机器学习理论方面的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Aryeh Kontorovich, Kasper Green Larsen · 2026-05-08 04:00

对半空间一致收敛的细粒度理解

arXiv:2605.06004v1 Announce Type: new Abstract: We study the fine-grained uniform convergence behavior of halfspaces beyond worst-case VC bounds. For inhomogeneous halfspaces in $\mathbb{R}^d$ with $d\ge 2$, we show that standard first-order VC bounds are essentially tight: even …

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对半空间一致收敛的细粒度理解

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