Symmetries in polynomial optimization

Philippe Moustrou; Cordian Riener; Hugues Verdure

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arXiv · 2305.05219

Symmetries in polynomial optimization

Philippe Moustrou·Cordian Riener·Hugues Verdure

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Abstract

This chapter investigates how symmetries can be used to reduce the computational complexity in polynomial optimization problems. A focus will be specifically given on the Moment-SOS hierarchy in polynomial optimization, where results from representation theory and invariant theory of groups can be used. In addition, symmetry reduction techniques which are more generally applicable are also presented.

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Philippe Moustrou, Cordian Riener, Hugues Verdure. 2023-05-09. Symmetries in polynomial optimization. https://arxiv.org/abs/2305.05219

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