English(EN) Networks with Finite VC Dimension: Pro and Contra

论文探讨有限VC维度在神经网络中的双重作用

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-09 04:00

一篇新论文探讨了有限VC维度在神经网络中的双重性质，考察了它在近似和学习方面的优点和缺点。虽然有限VC维度有助于经验误差的统一收敛，但它可能会阻碍从特定概率分布中提取的函数的近似。这项基于高维几何的研究表明，当处理大型数据集时，具有有限VC维度的网络的近似误差和经验误差几乎表现出确定性。 AI

影响为理解神经网络的泛化能力提供了理论见解，有助于理解模型行为。

排序理由发表在arXiv上的学术论文，讨论神经网络的理论方面。[lever_c_demoted from research: ic=1 ai=1.0]

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本文如何被排名

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arXiv cs.LG TIER_1 English(EN) · Vera Kurkova, Marcello Sanguineti · 2026-10-09 04:00

具有有限VC维度的网络：利与弊

arXiv:2502.02679v3 Announce Type: replace-cross Abstract: Approximation and learning of classifiers of large data sets by neural networks in terms of high-dimensional geometry and statistical learning theory are investigated. The influence of the VC dimension of sets of input-out…