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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.18332 |
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| _version_ | 1866916227682664448 |
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| author | Huang, Lei Nie, Jiawang Wang, Jiajia |
| author_facet | Huang, Lei Nie, Jiawang Wang, Jiajia |
| contents | This paper studies moment and tensor recovery problems whose decomposing vectors are contained in some given semialgebraic sets. We propose Moment-SOS relaxations with generic objectives for recovering moments and tensors, whose decomposition lengths are expected to be low. This kind of problems have broad applications in various tensor decomposition questions. Numerical experiments are provided to demonstrate the efficiency of this approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moment-SOS relaxations for moment and tensor recovery problems Huang, Lei Nie, Jiawang Wang, Jiajia Optimization and Control This paper studies moment and tensor recovery problems whose decomposing vectors are contained in some given semialgebraic sets. We propose Moment-SOS relaxations with generic objectives for recovering moments and tensors, whose decomposition lengths are expected to be low. This kind of problems have broad applications in various tensor decomposition questions. Numerical experiments are provided to demonstrate the efficiency of this approach. |
| title | Moment-SOS relaxations for moment and tensor recovery problems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.18332 |