4 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…
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…
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-…