Benchmark Problems for Phase Retrieval

DOI10.1137/18M1170364zbMath1421.82041arXiv1706.00399OpenAlexW2963073572MaRDI QIDQ5230417

Tamir Bendory, Ti-Yen Lan, Veit Elser

Publication date: 22 August 2019

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00399

zbMATH Keywords

benchmark problemscrystallographysparsityphase retrievalreconstruction algorithmsperiodic signals

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Related Items (16)

The numerics of phase retrieval ⋮ Simultaneous Phase Retrieval and Blind Deconvolution via Convex Programming ⋮ Bayesian Imaging with Data-Driven Priors Encoded by Neural Networks ⋮ Sparse multi-reference alignment: phase retrieval, uniform uncertainty principles and the beltway problem ⋮ Inertial proximal ADMM for separable multi-block convex optimizations and compressive affine phase retrieval ⋮ Nearly optimal bounds for the global geometric landscape of phase retrieval ⋮ Finite alphabet phase retrieval ⋮ Phase retrieval with background information ⋮ Accelerating Proximal Markov Chain Monte Carlo by Using an Explicit Stabilized Method ⋮ Unnamed Item ⋮ On signal reconstruction from FROG measurements ⋮ RRR ⋮ SURVEY: SIXTY YEARS OF DOUGLAS–RACHFORD ⋮ Projection methods for high numerical aperture phase retrieval ⋮ Near-optimal bounds for signal recovery from blind phaseless periodic short-time Fourier transform ⋮ Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem

Uses Software

• CVX
• Manopt
• NTRU
• SHELX
• PhasePack
• GitHub
• PhaseLift
• Superflip

Cites Work

• Unnamed Item
• Solving quadratic equations via phaselift when there are about as many equations as unknowns
• Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes
• Factoring polynomials with rational coefficients
• Matrix product constraints by projection methods
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• Phase retrieval from coded diffraction patterns
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Manopt, a Matlab toolbox for optimization on manifolds
• Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
• Alternating direction methods for classical and ptychographic phase retrieval
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
• The Complexity of Bit Retrieval
• Non-Convex Phase Retrieval From STFT Measurements
• Solving Systems of Random Quadratic Equations via Truncated Amplitude Flow
• Phase Retrieval from 1D Fourier Measurements: Convexity, Uniqueness, and Algorithms
• Bispectrum Inversion With Application to Multireference Alignment
• Relaxed averaged alternating reflections for diffraction imaging
• The Structure of Homometric Sets
• A short history ofSHELX
• Phase Retrieval via Matrix Completion

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