Fixed-parameter tractability of canonical polyadic decomposition over finite fields
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929387055611904 |
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| author | Yang, Jason |
| author_facet | Yang, Jason |
| contents | We present a simple proof that finding a rank-$R$ canonical polyadic decomposition of a 3-dimensional tensor over a finite field $\mathbb{F}$ is fixed-parameter tractable with respect to $R$ and $\mathbb{F}$. We also show a nontrivial upper bound on the time complexity of this problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fixed-parameter tractability of canonical polyadic decomposition over finite fields Yang, Jason Computational Complexity We present a simple proof that finding a rank-$R$ canonical polyadic decomposition of a 3-dimensional tensor over a finite field $\mathbb{F}$ is fixed-parameter tractable with respect to $R$ and $\mathbb{F}$. We also show a nontrivial upper bound on the time complexity of this problem. |
| title | Fixed-parameter tractability of canonical polyadic decomposition over finite fields |
| topic | Computational Complexity |
| url | https://arxiv.org/abs/2405.11699 |