3 papers
math.OC2026
Spectral Initialization and Certification for Power System Angle Estimation
Iven Guzel, Andrew D. McRae, Richard Y. Zhang
Power System State Estimation (PSSE) is commonly formulated as a nonconvex weighted least-squares (WLS) problem, making global optimality difficult both to attain and to certify. R…
math.OC2026
Sharp recovery and landscape guarantees for the nonconvex matrix LASSO
Andrew D. McRae, Richard Y. Zhang
Low-rank matrix recovery can be solved to statistical optimality by convex matrix optimization under the classical assumption of restricted isometry property (RIP). However, for la…
math.OC2025
Phase retrieval and matrix sensing via benign and overparametrized nonconvex optimization
Andrew D. McRae
We study a nonconvex optimization algorithmic approach to phase retrieval and the more general problem of semidefinite low-rank matrix sensing. Specifically, we analyze the nonconv…