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English(EN) Overfitted high-dimensional matrix factorizations via adaptive spectral shrinkage

EigenBayes 提供更快的高维数据分析

研究人员开发了一种名为 EigenBayes 的新方法来分析高维数据,旨在提高因子模型的效率。该方法解决了因子模型中潜在维度 $k$ 的选择问题,特别是在近似因子模型和低信噪比的情况下。EigenBayes 利用谱估计和经验贝叶斯校准来提供有效的量化不确定性,为现有方法提供了一种计算上更快的替代方案。 AI

影响 这种新方法可以提高分析复杂数据集的效率,可能影响那些依赖因子模型进行信号提取和协方差估计的领域。

排序理由 该集群包含一篇详细介绍新统计方法的学术论文。

在 arXiv stat.ML 阅读 →

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EigenBayes 提供更快的高维数据分析

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报道来源 [2]

  1. arXiv stat.ML TIER_1 English(EN) · Lorenzo Mauri, David B. Dunson ·

    通过自适应谱收缩实现过拟合的高维矩阵分解

    arXiv:2606.19540v1 Announce Type: cross Abstract: Factor models are popular approaches for analyzing high-dimensional data to extract low-rank signals and estimate covariances. They decompose the covariance matrix as the sum of low-rank and diagonal components. A key issue is how…

  2. arXiv stat.ML TIER_1 English(EN) · David B. Dunson ·

    过拟合高维矩阵分解的自适应谱收缩

    Factor models are popular approaches for analyzing high-dimensional data to extract low-rank signals and estimate covariances. They decompose the covariance matrix as the sum of low-rank and diagonal components. A key issue is how to choose the latent dimension $k$, which is part…