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The numerics of phase retrieval (Q5887821)

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scientific article; zbMATH DE number 7674563

Language	Label	Description	Also known as
English	The numerics of phase retrieval	scientific article; zbMATH DE number 7674563

Statements

scholarly article

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The numerics of phase retrieval (English)

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Thomas Strohmer

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Albert C. Fannjiang

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publication date

14 April 2023

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full work available at URL

https://arxiv.org/abs/2004.05788

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Blind Deconvolution Using Convex Programming

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Symmetric informationally complete–positive operator valued measures and the extended Clifford group

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Tight frames, Hadamard matrices and Zauner’s conjecture

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Solving inverse problems using data-driven models

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A flexible convex relaxation for phase retrieval

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Painless reconstruction from magnitudes of frame coefficients

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On signal reconstruction without phase

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Saving phase: injectivity and stability for phase retrieval

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Holographic phase retrieval and reference design

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Finding best approximation pairs relative to two closed convex sets in Hilbert spaces

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Templates for convex cone problems with applications to sparse signal recovery

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The solution of the covariogram problem for plane \({\mathcal C}_+^2\) convex bodies

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Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow

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Solving quadratic equations via phaselift when there are about as many equations as unknowns

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Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?

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Phase Retrieval via Matrix Completion

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Phase retrieval from coded diffraction patterns

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PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming

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Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers

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Coded aperture ptychography: uniqueness and reconstruction

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Fourier phase retrieval with a single mask by Douglas-Rachford algorithms

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Phase Retrieval by Linear Algebra

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Phase retrieval with one or two diffraction patterns by alternating projections with the null initialization

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Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems

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Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval

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An algebraic characterization of injectivity in phase retrieval

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The Pauli problem, state reconstruction and quantum-real numbers

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Stable optimizationless recovery from phaseless linear measurements

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Compressed sensing

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Benchmark Problems for Phase Retrieval

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Absolute uniqueness of phase retrieval with random illumination

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Raster Grid Pathology and the Cure

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Blind ptychography: uniqueness and ambiguities

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Fixed Point Analysis of Douglas--Rachford Splitting for Ptychography and Phase Retrieval

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A mathematical introduction to compressive sensing

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Linear Convergence and Metric Selection for Douglas-Rachford Splitting and ADMM

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PhaseMax: Convex Phase Retrieval via Basis Pursuit

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Foundations of time-frequency analysis

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Phase Retrieval: Uniqueness and Stability

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Recovering Low-Rank Matrices From Few Coefficients in Any Basis

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A partial derandomization of phaselift using spherical designs

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Improved recovery guarantees for phase retrieval from coded diffraction patterns

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Sample-optimal tomography of quantum states

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Phaselift is robust to a constant fraction of arbitrary errors

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An elementary proof of convex phase retrieval in the natural parameter space via the linear program PhaseMax

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The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform

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Quantum tomography under prior information

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Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints

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Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization

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Robust sparse phase retrieval made easy

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Sparse Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms

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Blind Demixing and Deconvolution at Near-Optimal Rate

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The phase retrieval problem

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Complex phase retrieval from subgaussian measurements

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Low rank matrix recovery from rank one measurements

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NETT: solving inverse problems with deep neural networks

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On relaxed averaged alternating reflections (RAAR) algorithm for phase retrieval with structured illumination

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Sparse Signal Recovery from Quadratic Measurements via Convex Programming

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Rapid, robust, and reliable blind deconvolution via nonconvex optimization

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Identifiability in Blind Deconvolution With Subspace or Sparsity Constraints

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Self-calibration and biconvex compressive sensing

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Blind Deconvolution Meets Blind Demixing: Algorithms and Performance Bounds

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Regularized gradient descent: a non-convex recipe for fast joint blind deconvolution and demixing

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Relaxed averaged alternating reflections for diffraction imaging

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Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space

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Optical Wavefront Reconstruction: Theory and Numerical Methods

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Optimal Spectral Initialization for Signal Recovery With Applications to Phase Retrieval

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Implicit regularization in nonconvex statistical estimation: gradient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution

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On the rank minimization problem over a positive semidefinite linear matrix inequality

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Fundamental limits of weak recovery with applications to phase retrieval

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Primal--Dual Path-Following Algorithms for Semidefinite Programming

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Introductory lectures on convex optimization. A basic course.

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Quantum state estimation.

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Robust Phase Retrieval Algorithm for Time-Frequency Structured Measurements

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Phase retrieval from low-rate samples

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Iterative Algorithms for Ptychographic Phase Retrieval

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Low rank tensor recovery via iterative hard thresholding

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Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

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Mathematical Considerations for the Problem of Fourier Transform Phase Retrieval from Magnitude

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Compressive Phase Retrieval via Generalized Approximate Message Passing

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A Message-Passing Approach to Phase Retrieval of Sparse Signals

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Symmetric informationally complete positive-operator-valued measures: A new computer study

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GESPAR: Efficient Phase Retrieval of Sparse Signals

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MATHEMATICS FOR CRYO-ELECTRON MICROSCOPY

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Grassmannian frames with applications to coding and communication

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A randomized Kaczmarz algorithm with exponential convergence

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A geometric analysis of phase retrieval

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Guaranteed Matrix Completion via Non-Convex Factorization

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Phase retrieval via randomized Kaczmarz: theoretical guarantees

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DOLPHIn—Dictionary Learning for Phase Retrieval

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SDPT3 — A Matlab software package for semidefinite programming, Version 1.3

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Functional Operators (AM-21), Volume 1

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Phase recovery, MaxCut and complex semidefinite programming

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Solving Systems of Random Quadratic Equations via Truncated Amplitude Flow

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Sparse Phase Retrieval via Truncated Amplitude Flow

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Solving systems of phaseless equations via Kaczmarz methods: a proof of concept study

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Tauberian theorems

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Phase retrieval via sparse Wirtinger flow

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Identifiers

10.1017/S0962492920000069

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5887821

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