Robust phase retrieval via median-truncated smoothed amplitude flow

DOI10.1080/17415977.2021.1966426OpenAlexW3194669310MaRDI QIDQ5861324

Qi Luo, Shijian Lin, Hong-Xia Wang

Publication date: 4 March 2022

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2021.1966426

zbMATH Keywords

nonconvex optimizationstatistical signal processingrobust algorithmsgradient descentphase retrieval

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Nonconvex programming, global optimization (90C26)

Uses Software

• PhaseMax
• PhaseLift
• Wirtinger Flow

Cites Work

• Unnamed Item
• An elementary proof of convex phase retrieval in the natural parameter space via the linear program PhaseMax
• On signal reconstruction without phase
• Phase recovery, MaxCut and complex semidefinite programming
• Phaselift is robust to a constant fraction of arbitrary errors
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Median-Truncated Nonconvex Approach for Phase Retrieval With Outliers
• PhaseMax: Convex Phase Retrieval via Basis Pursuit
• Sparse Phase Retrieval via Truncated Amplitude Flow
• Inexact Alternating Optimization for Phase Retrieval in the Presence of Outliers
• Phase Retrieval via Reweighted Amplitude Flow
• Solving (most) of a set of quadratic equalities: composite optimization for robust phase retrieval