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English(EN) An efficient EM algorithm for both element-wise and structural missingness in matrix-variate normal mixture models

新的EM算法改进了矩阵变量模型中缺失数据的处理

研究人员开发了一种有效的期望最大化(EM)算法,用于处理矩阵变量正态混合模型中的缺失数据。该新算法通过近似条件均值和协方差,显著降低了与任意缺失模式相关的计算成本。它还包括一个针对子矩阵缺失的专用更新,该更新保持了Kronecker积结构,允许在行和列方向上进行独立更新。模拟研究表明,与精确EM相比,这些方法提供了显著的速度提升,同时保持了相似的观测数据似然度,并且该方法已在高光谱图像分析中用于同时进行插补和聚类。 AI

影响 这项研究可以提高复杂数据集统计建模的效率,可能使依赖此类数据的AI应用受益。

排序理由 该项目是一篇详细介绍新统计算法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv stat.ML 阅读 →

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新的EM算法改进了矩阵变量模型中缺失数据的处理

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该项目是一篇详细介绍新统计算法的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Hanzhang Lu, Jeffrey L. Andrews, Ryan P. Browne ·

    矩阵多元正态混合模型中元素级和结构化缺失的有效EM算法

    arXiv:2609.00616v1 Announce Type: cross Abstract: Matrix-variate data with missing entries arise frequently in applications where observations are naturally organized as two-dimensional arrays. Although the matrix normal distribution provides a parsimonious model through its Kron…