A Proximal Operator for Multispectral Phase Retrieval Problems

DOI10.1137/18M120227XzbMath1448.94083arXiv1808.05194WikidataQ127018975 ScholiaQ127018975MaRDI QIDQ5237310

Biel Roig-Solvas, Dana H. Brooks, Lee Makowski

Publication date: 17 October 2019

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05194

zbMATH Keywords

distributed algorithmsphase retrievalproximal operator

Mathematics Subject Classification ID

Convex programming (90C25) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Distributed algorithms (68W15)

Uses Software

• UNLocBoX
• GESPAR
• PhaseLift
• PhaseCut
• Wirtinger Flow

Cites Work

• Phase retrieval for imaging problems
• Local minima and convergence in low-rank semidefinite programming
• Phase recovery, MaxCut and complex semidefinite programming
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Sparse Signal Recovery from Quadratic Measurements via Convex Programming
• Proximal Splitting Methods in Signal Processing
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
• GESPAR: Efficient Phase Retrieval of Sparse Signals
• Phase Retrieval from 1D Fourier Measurements: Convexity, Uniqueness, and Algorithms
• Some Modified Matrix Eigenvalue Problems
• Strong Duality in Nonconvex Quadratic Optimization with Two Quadratic Constraints
• Phase Retrieval via Matrix Completion

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