English

Stochastic Polynomial Optimization

Optimization and Control 2019-08-19 v1

Abstract

This paper studies stochastic optimization problems with polynomials. We propose an optimization model with sample averages and perturbations. The Lasserre type Moment-SOS relaxations are used to solve the sample average optimization. Properties of the optimization and its relaxations are studied. Numerical experiments are presented.

Keywords

Cite

@article{arxiv.1908.05689,
  title  = {Stochastic Polynomial Optimization},
  author = {Jiawang Nie and Liu Yang and Suhan Zhong},
  journal= {arXiv preprint arXiv:1908.05689},
  year   = {2019}
}

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17 pages