4 citations · 4 across the 6 of their papers we have counts for
6 papers
Sharp Restricted Isometry Thresholds for Global Minima of Rank-Restricted Matrix LASSO
Richard Y. Zhang
We determine the sharp restricted isometry threshold for recovery at global minima of the rank-restricted matrix LASSO. For target rank , if the rank- RIP constant sa…
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…
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…
Nonnegative Low-rank Matrix Recovery Can Have Spurious Local Minima
Richard Y. Zhang
Low-rank matrix recovery is well-known to exhibit benign nonconvexity under the restricted isometry property (RIP): every second-order critical point is globally optimal, so local…
Power System State Estimation by Phase Synchronization and Eigenvectors
Iven Guzel, Richard Y. Zhang
To estimate accurate voltage phasors from inaccurate voltage magnitude and complex power measurements, the standard approach is to iteratively refine a good initial guess using the…
Sharp Global Guarantees for Nonconvex Low-rank Recovery in the Noisy Overparameterized Regime
Richard Y. Zhang
Recent work established that rank overparameterization eliminates spurious local minima in nonconvex low-rank matrix recovery under the restricted isometry property (RIP). But this…