6 papers
NS-RGS: Newton-Schulz based Riemannian gradient method for orthogonal group synchronization
Haiyang Peng, Deren Han, Xin Chen +1
Group synchronization is a fundamental task involving the recovery of group elements from pairwise measurements. For orthogonal group synchronization, the most common approach refo…
Scaled Gradient Descent for Ill-Conditioned Low-Rank Matrix Recovery with Optimal Sampling Complexity
Zhenxuan Li, Meng Huang
The low-rank matrix recovery problem seeks to reconstruct an unknown rank- matrix from linear measurements, where . This problem has been exten…
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 = \…
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 {\boldsy…
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…
Noisy phase retrieval from subgaussian measurements
Haiyang Peng, Deren Han, Linbin Li +1
This paper aims to address the phase retrieval problem from subgaussian measurements with arbitrary noise, with a focus on devising robust and efficient algorithms for solving non-…