Low Rank Tensor Decompositions and Approximations: Low Rank Tensor Decompositions and Approximations: J. Nie et al.

Jiawang Nie*, Li Wang, Zequn Zheng

*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

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摘要

There exist linear relations among tensor entries of low rank tensors. These linear relations can be expressed by multi-linear polynomials, which are called generating polynomials. We use generating polynomials to compute tensor rank decompositions and low rank tensor approximations. We prove that this gives a quasi-optimal low rank tensor approximation if the given tensor is sufficiently close to a low rank one.

源语言英语
页（从-至）847-873
页数27
期刊Journal of the Operations Research Society of China
卷12
期4
DOI
出版状态已出版 - 12月 2024
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Nie, J., Wang, L., & Zheng, Z. (2024). Low Rank Tensor Decompositions and Approximations: Low Rank Tensor Decompositions and Approximations: J. Nie et al. Journal of the Operations Research Society of China, 12(4), 847-873. https://doi.org/10.1007/s40305-023-00455-7