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English(EN) Structure and Exact Certification of Nonnegative Tensor Decompositions

新arXiv论文详述张量分解分析

作者 PulseAugur 编辑部 · [1 个来源] ·

一篇新的arXiv论文详述了一种分析非负张量分解的方法，重点关注其结构和精确认证。该研究引入了一种基于Lovitz--Petrov分裂定理的维度计数方法，用于界定项之间的交换，从而得到一种确定性算法，用于计算非负秩和最小长度分解。该算法还可以确定最小性和本质唯一性，并在这些属性失败时提供精确的证明。论文通过一个实现来说明其发现，该实现解决了许多先前不确定的实例，将其归类为最小且本质上唯一的，或最小但不唯一的。 AI

排序理由 该聚类包含一篇发表在arXiv上的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]

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新arXiv论文详述张量分解分析

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该聚类包含一篇发表在arXiv上的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Haoming Wang, Ming Yuan ·

    非负张量分解的结构与精确认证

    arXiv:2610.32787v1 Announce Type: cross Abstract: We study the structure and exact certification of nonnegative tensor decompositions supplied through rational factor matrices. Every failure of minimality or essential uniqueness contains an irreducible positive exchange between $…

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