Nonconvergence of a sum-of-squares hierarchy for global polynomial optimization based on push-forward measures

Lucas Slot, Manuel Wiedmer

Let $\mathbf{X}\subseteq {\mathbb{R}}^n$ be a closed set, and consider the problem of computing the minimum $f_{\min }$ of a polynomial $f$ on $\mathbf{X}$. Given a measure $\mu$ suppo…