Dehomogenization for Completely Positive Tensors
Optimization and Control
2022-11-15 v2
Abstract
A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors. This gives new Moment-SOS relaxations for CP tensors. Detection for CP tensors and the linear conic optimization with CP tensor cones can be solved more efficiently by the dehomogenization approach.
Keywords
Cite
@article{arxiv.2206.12553,
title = {Dehomogenization for Completely Positive Tensors},
author = {Jiawang Nie and Xindong Tang and Zi Yang and Suhan Zhong},
journal= {arXiv preprint arXiv:2206.12553},
year = {2022}
}
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25 pages