Error Bound of Empirical ${\ell }_2$ Risk Minimization for Noisy Standard and Generalized Phase Retrieval Problems

Junren Chen, Michael K. Ng

In this paper, we study the estimation performance of empirical ${\ell }_2$ risk minimization (ERM) in noisy (standard) phase retrieval (NPR) given by $y_k=|{\alpha }_k^{\ast }{x}_0{|}^2+{\eta }_k$, or noi…