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English(EN) An Embarrassingly Simple Way to Optimize Orthogonal Matrices at Scale

新的POGO算法可高效优化大规模正交矩阵

研究人员开发了一种名为POGO的新算法,可高效优化大规模正交矩阵,这是稳健机器学习中的常见要求。与之前计算成本高昂或暂时放松正交性的方法不同,POGO始终保持正交性,且计算开销极小。这种新算法对GPU友好,仅需五次矩阵乘法,并在基准测试中展示了显著的性能提升,将过去需要数小时才能解决的问题缩短到几分钟。POGO的PyTorch实现已公开可用。 AI

影响 能够更有效地训练和应用依赖于正交矩阵约束的机器学习模型。

排序理由 该集群包含一篇详细介绍新算法及其实现的论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新的POGO算法可高效优化大规模正交矩阵

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该集群包含一篇详细介绍新算法及其实现的论文。[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) · Adri\'an Javaloy, Antonio Vergari ·

    优化大规模正交矩阵的一种极其简单的方法

    arXiv:2602.14656v2 Announce Type: replace Abstract: Orthogonality constraints are ubiquitous in robust and probabilistic machine learning. Unfortunately, current optimizers are computationally expensive and do not scale to problems with hundreds or thousands of constraints. One n…