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math.OC2025
Convergence Analysis of Reshaped Wirtinger Flow with Random Initialization for Phase Retrieval
Linbin Li, Haiyang Peng, Yong Xia +1
This paper investigates phase retrieval using the Reshaped Wirtinger Flow (RWF) algorithm, focusing on recovering target vector $\vx \in \R^n$ from magnitude measurements \(y_i = \…
cs.IT2025
The Condition Number in Phase Retrieval from Intensity Measurements
Haiyang Peng, Deren Han, Meng Huang
This paper investigates the stability of phase retrieval by analyzing the condition number of the nonlinear map $Ψ_{\boldsymbol{A}}(\boldsymbol{x}) = \bigl(\lvert \langle {\boldsym…
cs.IT2025
Performance analysis of tail-minimization and the linear rate of convergence of a proximal algorithm for sparse signal recovery
Meng Huang, Shidong Li
Recovery error bounds of tail-minimization and the rate of convergence of an efficient proximal alternating algorithm for sparse signal recovery are considered in this article. Tai…