# Stochastic Polynomial Optimization

**Authors:** Jiawang Nie, Liu Yang, Suhan Zhong  
**arXiv:** [1908.05689](https://arxiv.org/abs/1908.05689)  
**Date:** 2019-08-15  
**Summary page:** https://www.summarizepaper.com/en/paper/1908.05689v1/

## 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.