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arXiv · 2505.07000

On the permanent of random tensors

Malihe Nobakht Kooshkghazi·Hamidreza Afshin
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Abstract

The exact computation of permanent for high-dimensional tensors is a hard problem. Having in mind the applications of permanents in other fields, providing an algorithm for the approximation of tensor permanents is an attractive subject. In this paper, we design a deterministic quasi-polynomial time algorithm and a PTAS that computes the permanent of complex random tensors that its module of the mean is at least 1/polylog(n).

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Malihe Nobakht Kooshkghazi, Hamidreza Afshin. 2025-05-11. On the permanent of random tensors. https://arxiv.org/abs/2505.07000

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