On the permanent of random tensors
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908360010366976 |
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| author | Kooshkghazi, Malihe Nobakht Afshin, Hamidreza |
| author_facet | Kooshkghazi, Malihe Nobakht Afshin, Hamidreza |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07000 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the permanent of random tensors Kooshkghazi, Malihe Nobakht Afshin, Hamidreza Numerical Analysis 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). |
| title | On the permanent of random tensors |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2505.07000 |