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arXiv · 2404.18332

Moment-SOS relaxations for moment and tensor recovery problems

Lei Huang·Jiawang Nie·Jiajia Wang
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Abstract

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.

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Lei Huang, Jiawang Nie, Jiajia Wang. 2024-04-28. Moment-SOS relaxations for moment and tensor recovery problems. https://arxiv.org/abs/2404.18332

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