English(EN) Non-asymptotic Estimation of Sparse Partial Correlation via Joint Partial Regression

新方法为稀疏偏相关估计提供非渐近保证

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-28 04:00

研究人员开发了一种估计稀疏偏相关矩阵和逆协方差的新方法，提供了非渐近保证和改进的估计率。这种两阶段方法利用逆协方差与线性回归之间的关系，同时确保半正定性。已推导出一种高效的近端分裂算法用于计算，并提供了一个快速实现，该方法的有效性已在合成和真实世界数据集上得到验证。 AI

影响这项研究推进了可能适用于机器学习模型分析和解释的统计方法。

排序理由该集群包含一篇提交到 arXiv 的新学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

AI 生成摘要 · Google Gemini · 来自 1 个来源。我们如何撰写摘要 →

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arXiv stat.ML TIER_1 English(EN) · Samuel Erickson, Tobias Ryd\'en · 2026-10-28 04:00

联合偏回归的稀疏偏相关非渐近估计

arXiv:2502.08414v3 Announce Type: replace Abstract: Partial correlation analysis is widely used in modern multivariate analysis. However, prior methods lack non-asymptotic guarantees and have slow asymptotic estimation rates. We present a method for simultaneously estimating spar…