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arXiv · 2405.11699

Fixed-parameter tractability of canonical polyadic decomposition over finite fields

Jason Yang
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Abstract

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.

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Jason Yang. 2024-05-19. Fixed-parameter tractability of canonical polyadic decomposition over finite fields. https://arxiv.org/abs/2405.11699

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