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Probabilistic bounds on best rank-1 approximation ratio
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2024-03-03 , DOI: 10.1080/03081087.2024.2304146
Khazhgali Kozhasov 1 , Josué Tonelli-Cueto 2
Affiliation  

We provide new upper and lower bounds on the minimum possible ratio of the spectral and Frobenius norms of a (partially) symmetric tensor. In the particular case of general tensors, our result reco...

中文翻译:

最佳 1 阶近似比的概率界限

我们为(部分)对称张量的谱和 Frobenius 范数的最小可能比率提供了新的上限和下界。在一般张量的特殊情况下,我们的结果...
更新日期:2024-03-06
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