One Extra Dimension Suffices for the Complete-Graph Squared-Stress
Let all pairwise distances of an arbitrary configuration of points in $\mathbb{R}^{\ell}$ be known exactly. We prove that every second-order stationary point of the complete-graph squared-stress objective over configurations in $\mathbb{R}^{k}$ has zero residual whenever $k>\ell$. The result holds for every number of p...