新的Davis-Kahan界限可实现大型矩阵的可扩展谱分析

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

研究人员开发了一种新的子采样Davis-Kahan界限，以提高大规模矩阵谱分析的效率。该方法使用独立的伯努利采样方案来近似低秩对称矩阵的目标子空间。该界限表明计算成本（与采样概率成线性关系）和统计误差（与采样概率的平方根成反比关系）之间存在权衡，从而实现了可扩展的谱分析。 AI

排序理由该集群包含一篇详细介绍谱分析新理论界限的研究论文。[lever_c_demoted from research: ic=1 ai=0.7]

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arXiv stat.ML TIER_1 English(EN) · Huan Qing · 2026-09-10 04:00

大型特征空间估计的子采样 Davis-Kahan 界限

arXiv:2609.09211v1 Announce Type: new Abstract: The Davis-Kahan theorem is a fundamental tool in spectral analysis, providing quantitative control over the distance between the eigenspaces of a symmetric matrix and its perturbation. However, when the matrix dimension is large, co…