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English(EN) Riemannian Optimization for Hadamard Products of Low-Rank Matrices

新的黎曼方法优化低秩矩阵学习

研究人员开发了一种新的黎曼优化方法,用于高效学习低秩矩阵,这对于建模具有乘法结构的数据非常有用。该方法将学习过程构建为黎曼商流形上的优化问题,并引入了一种新颖的、在完全对称群下不变的块对角度量。所提出的算法使用无调优步长,并与观测条目数量成线性比例缩放,在真实和合成数据集的实验中均显示出有效性。 AI

影响 为特定类型的矩阵分解引入了一种新颖的优化技术,有可能提高某些机器学习模型的效率。

排序理由 该集群包含一篇详细介绍新研究方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新的黎曼方法优化低秩矩阵学习

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该集群包含一篇详细介绍新研究方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Pratik Jawanpuria, Ankish Chandresh, Bamdev Mishra ·

    黎曼优化用于低秩矩阵的Hadamard积

    arXiv:2606.01216v1 Announce Type: new Abstract: The elementwise Hadamard product of two low-rank matrices provides a parameter-efficient model for data with multiplicative structure, but its modeling is challenging due to the presence of additional symmetries under coupled row/co…