Singular values of sparse random rectangular matrices: Emergence of outliers at criticality

Ioana Dumitriu, Hai-Xiao Wang, Zhichao Wang +1

Consider the random bipartite Erdős-Rényi graph $\mathbb{G}(n,m,p)$, where each edge with one vertex in $V_1=[n]$ and the other vertex in $V_2=[m]$ is connected with probabi…