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Phase Retrieval Using Alternating Minimization

https://doi.org/10.1109/tsp.2015.2448516

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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

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Constructive Approximation

inferredcites →https://doi.org/10.1007/s00041-014-9361-2openalex-snapshot

A Partial Derandomization of PhaseLift Using Spherical Designs

inferredcites →https://doi.org/10.1007/s10107-013-0738-9openalex-snapshot

Phase recovery, MaxCut and complex semidefinite programming

inferredcites →https://doi.org/10.1007/s10208-011-9099-zopenalex-snapshot

User-Friendly Tail Bounds for Sums of Random Matrices

inferredcites →https://doi.org/10.1007/s10208-013-9162-zopenalex-snapshot

Solving Quadratic Equations via PhaseLift When There Are About as Many Equations as Unknowns

inferredcites →https://doi.org/10.1016/0030-4018(79)90358-4openalex-snapshot

On the ambiguity of the image reconstruction problem

inferredcites →https://doi.org/10.1016/j.acha.2014.09.004openalex-snapshot

Phase retrieval from coded diffraction patterns

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Introduction to the non-asymptotic analysis of random matrices

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A New Microscopic Principle

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Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens

inferredcites →https://doi.org/10.1063/1.2403783openalex-snapshot

Invited Article: A unified evaluation of iterative projection algorithms for phase retrieval

inferredcites →https://doi.org/10.1088/0022-3727/6/1/102openalex-snapshot

A method for the solution of the phase problem in electron microscopy

inferredcites →https://doi.org/10.1088/0266-5611/27/1/015005openalex-snapshot

Array imaging using intensity-only measurements

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Erratum: High Resolution 3D X-Ray Diffraction Microscopy [Phys. Rev. Lett.89, 088303 (2002)]

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High Resolution 3D X-Ray Diffraction Microscopy

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Methods used in the structure determination of bovine mitochondrial F1 ATPase

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Understanding Alternating Minimization for Matrix Completion

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Recovery of sparse 1-D signals from the magnitudes of their Fourier transform

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

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The feasible solution in signal restoration

inferredcites →https://doi.org/10.1109/tit.2010.2046205openalex-snapshot

Matrix Completion From a Few Entries

inferredcites →https://doi.org/10.1109/tit.2015.2401574openalex-snapshot

Simultaneously Structured Models With Application to Sparse and Low-Rank Matrices

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Image Restoration by the Method of Convex Projections: Part 1ߞTheory

inferredcites →https://doi.org/10.1109/tsp.2013.2297687openalex-snapshot

GESPAR: Efficient Phase Retrieval of Sparse Signals

inferredcites →https://doi.org/10.1121/1.1945807openalex-snapshot

Multiresolution spectrotemporal analysis of complex sounds

inferredcites →https://doi.org/10.1137/0145038openalex-snapshot

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

inferredcites →https://doi.org/10.1137/07069239xopenalex-snapshot

Nonnegative Matrix Factorization Based on Alternating Nonnegativity Constrained Least Squares and Active Set Method

inferredcites →https://doi.org/10.1137/110848074openalex-snapshot

Phase Retrieval via Matrix Completion

inferredcites →https://doi.org/10.1137/120893707openalex-snapshot

Sparse Signal Recovery from Quadratic Measurements via Convex Programming

inferredcites →https://doi.org/10.1145/2339530.2339612openalex-snapshot

Low rank modeling of signed networks

inferredcites →https://doi.org/10.1145/2488608.2488693openalex-snapshot

Low-rank matrix completion using alternating minimization

inferredcites →https://doi.org/10.1198/106186006x113430openalex-snapshot

Sparse Principal Component Analysis

inferredcites →https://doi.org/10.1214/09-imscoll504openalex-snapshot

Gaussian integrals involving absolute value functions

inferredcites →https://doi.org/10.1364/ao.21.002758openalex-snapshot

Phase retrieval algorithms: a comparison

inferredcites →https://doi.org/10.1364/ao.32.001747openalex-snapshot

Hubble Space Telescope characterized by using phase-retrieval algorithms

inferredcites →https://doi.org/10.1364/josa.52.001123openalex-snapshot

Reconstructed Wavefronts and Communication Theory*

inferredcites →https://doi.org/10.1364/josaa.20.000040openalex-snapshot

Phase retrieval by iterated projections

inferredcites →https://doi.org/10.1364/josaa.20.001025openalex-snapshot

Hybrid projection–reflection method for phase retrieval

inferredcites →https://doi.org/10.1364/josaa.24.003289openalex-snapshot

Phase retrieval and saddle-point optimization

inferredcites →https://doi.org/10.1364/josaa.7.000394openalex-snapshot

Phase retrieval in crystallography and optics

inferredcites →https://doi.org/10.1364/oe.19.014807openalex-snapshot

Sparsity based sub-wavelength imaging with partially incoherent light via quadratic compressed sensing

inferredcites →https://doi.org/10.3182/20120711-3-be-2027.00415openalex-snapshot

Compressive Phase Retrieval From Squared Output Measurements Via Semidefinite Programming

inferredcites →https://doi.org/10.5772/13993openalex-snapshot

Digital Holography and Phase Retrieval

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Randomized Policy Optimization for Optimal Stopping

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

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The Projected Power Method: An Efficient Algorithm for Joint Alignment from Pairwise Differences

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Compressive phase retrieval: Optimal sample complexity with deep generative priors

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Structured random measurements in signal processing

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Sparse partial least squares with group and subgroup structure

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Phase Retrieval via Accelerated Gradient Descent

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Solving Phase Retrieval with a Learned Reference

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Recovery Under Side Constraints

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Inverse and Ill-Posed Problems $$\star $$

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A Message-Passing Approach to Phase Retrieval of Sparse Signals

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Biconvex Relaxation for Semidefinite Programming in Computer Vision

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Median-Truncated Gradient Descent: A Robust and Scalable Nonconvex Approach for Signal Estimation

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Phase Reconstruction for Time-Frequency Inpainting

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Parallel and Distributed Successive Convex Approximation Methods for Big-Data Optimization

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Phase Retrieval by the Inverse Power Method

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Phase Retrieval from Low-Rate Samples

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The Local Convexity of Solving Systems of Quadratic Equations

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Reconstruction of Approximately k-Sparse Complex Vectors from Few Phaseless Measurements

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TESA: Time-Domain Enhanced Spectrogram Alignment for Robust Signal Reconstruction

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A Partial Derandomization of PhaseLift Using Spherical Designs

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Phase Retrieval with One or Two Diffraction Patterns by Alternating Projections with the Null Initialization

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Complex Phase Retrieval from Subgaussian Measurements

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Admissible Measurements and Robust Algorithms for Ptychography

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Conjugate Phase Retrieval in Paley–Wiener Space

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Affine Phase Retrieval for Sparse Signals via $$\ell _1$$ Minimization

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Multimodality registration for ocular multispectral images via co-embedding

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Inertial Proximal ADMM for Separable Multi-Block Convex Optimizations and Compressive Affine Phase Retrieval

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A Geometric Analysis of 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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Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models

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Riemannian optimization for phase retrieval from masked Fourier measurements

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Optimal sparse phase retrieval via a quasi-Bayesian approach

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Phaseless compressive sensing using partial support information

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Phase retrieval with PhaseLift algorithm

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Phase Retrieval via Sensor Network Localization

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Phase retrieval from the magnitudes of affine linear measurements

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Improved recovery guarantees for phase retrieval from coded diffraction patterns

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

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

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Phase retrieval of real-valued signals in a shift-invariant space

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Phase retrieval for sub-Gaussian measurements

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Performance Bounds of the Intensity-Based Estimators for Noisy Phase Retrieval

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Phase retrieval via Sparse Wirtinger Flow

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Coordinate descent algorithms for phase retrieval

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Phase retrieval via smoothed amplitude flow

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Phase retrieval from multiple FRFT measurements based on nonconvex low-rank minimization

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Phase retrieval non-synchronous measurements for gas turbine distorted dataset

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Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions

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Computational aspects of likelihood-based inference for the univariate generalized hyperbolic distribution

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

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Phase retrieval with background information

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Solving phase retrieval via graph projection splitting

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Sampling complexity on phase retrieval from masked Fourier measurements via Wirtinger flow*

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Dynamic Fourier ptychography with deep spatiotemporal priors

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Provable sample-efficient sparse phase retrieval initialized by truncated power method

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Nearly optimal bounds for the global geometric landscape of phase retrieval

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Truncated amplitude flow with coded diffraction patterns

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Recovery performance of PhaseLift for phase retrieval from coded diffraction patterns

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Identification of the spatial random source of a stochastic convection-diffusion equation

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Robust wavefield inversion via phase retrieval

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Phase retrieval of low-rank matrices by anchored regression

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Phase retrieval of complex-valued objects via a randomized Kaczmarz method

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Nearly minimax-optimal rates for noisy sparse phase retrieval via early-stopped mirror descent

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The performance of the amplitude-based model for complex phase retrieval

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Alternating minimization for generalized rank-1 matrix sensing: sharp predictions from a random initialization

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Near-optimal estimation of simultaneously sparse and low-rank matrices from nested linear measurements

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Solving (most) of a set of quadratic equalities: composite optimization for robust phase retrieval

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Phase transitions of spectral initialization for high-dimensional non-convex estimation

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Exact and Gerchberg-Saxton solutions of the one-dimensional Pauli problem with Gaussian probability densities

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Low-Rank Phase Retrieval via Variational Bayesian Learning

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Robust Initialization Estimator and its Application in Solving Quadratic Equations

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Carrier Phase Recovery for Array Navigation Receiver: A Fast Phase Retrieval Approach

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Alternating minimization for hybrid precoding in multiuser OFDM mmWave systems

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Information and resolution

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Convex inversion of the entrywise product of real signals with known signs

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Distributed optimization for Generalized Phase Retrieval Over Networks

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Compressive phase retrieval via generalized approximate message passing

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Phase retrieval using iterative projections: Dynamics in the large systems limit

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Geometrical properties and accelerated gradient solvers of non-convex phase retrieval

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Community Recovery in Hypergraphs

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Finite sample guarantees for PCA in non-isotropic and data-dependent noise

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Phase retrieval via linear programming: Fundamental limits and algorithmic improvements

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Fast Federated Low Rank Matrix Completion

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Scalable convex methods for phase retrieval

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Fundamental limits of phasemax for phase retrieval: A replica analysis

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Convergence of Adaptive Identification for Phase Retrieval Problem

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PhaseLin: Linear phase retrieval

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Positive trigonometric polynomials and one-dimensional discrete phase retrieval problem

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Inexact alternating optimization for phase retrieval with outliers

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Guaranteed Matrix Completion via Nonconvex Factorization

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PHASE RETRIEVAL FOR SIGNALS IN UNION OF SUBSPACES

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Signal Reconstruction From Modulo Observations

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Enabling Secure Wireless Communications via Intelligent Reflecting Surfaces

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Hybrid Precoding Design in Millimeter Wave MIMO Systems: An Alternating Minimization Approach

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An algorithm for exact super-resolution and phase retrieval

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Detection with phaseless measurements

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Sparse phase retrieval with near minimal measurements: A structured sampling based approach

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Frank-Wolfe works for non-Lipschitz continuous gradient objectives: Scalable poisson phase retrieval

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SPARTA: Sparse phase retrieval via Truncated Amplitude flow

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Low rank phase retrieval

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Phase retrieval from STFT measurements via non-convex optimization

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Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity

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Convergence Analysis on a Fast Iterative Phase Retrieval Algorithm Without Independence Assumption

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Phasesplit: A Variable Splitting Framework for Phase Retrieval

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Low Rank Fourier Ptychography

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Spectral Method for Multiplexed Phase Retrieval and Application in Optical Imaging in Complex Media

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On the Sensitivity of Spectral Initialization for Noisy Phase Retrieval

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Alternating Phase Projected Gradient Descent with Generative Priors for Solving Compressive Phase Retrieval

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Solving Complex Quadratic Equations with Full-rank Random Gaussian Matrices

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Wirtinger Flow Algorithms for Phase Retrieval from Binary Measurements

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Weighted Null Vector Initialization and its Application to Phase Retrieval

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Deep Initialization for Guaranteed Unimodular Quadratic Programming

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Compressive Phase Retrieval Based On Sparse Latent Generative Priors

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Over-Parameterized Network Solves Phase Retrieval Effectively

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Phase Retrieval by Tensor Total Least Squares

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Alternating Phase Langevin Sampling with Implicit Denoiser Priors for Phase Retrieval

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Modified Low Complexity Precoding Algorithm for Millimeter Wave MIMO Systems

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BM3D-PRGAMP: Compressive phase retrieval based on BM3D denoising

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Probabilistic Matrix Completion for Image Phase Retrieval

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Model Corrected Low Rank Ptychography

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Compressive Phase Retrieval under Poisson Noise

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Data-Driven Illumination Patterns For Coded Diffraction Imaging

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Undersampled Dynamic Fourier Ptychography via Phaseless PCA

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Restoration of images with wavefront aberrations

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Robust Distributed MIMO Localization based on Binary Hard Weighting

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On gradient descent algorithm for generalized phase retrieval problem

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ISAR imaging based on oversampling smoothness of prior knowledge

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Fourier Phase Retrieval with Side Information Using Generative Prior

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Deep Phaseless Imaging via Wirtinger Flow with Decoding Prior

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Fourier Phase Retrieval With Diffusion Priors Guided by Failure Detection

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On efficiency and low sample complexity in phase retrieval

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Almost lossless analog compression without phase information

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Fast and robust compressive phase retrieval with sparse-graph codes

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A geometric analysis of phase retrieval

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Spectral initialization for nonconvex estimation: High-dimensional limit and phase transitions

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Fast Low-Rank Matrix Estimation for Ill-Conditioned Matrices

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Towards Sample-Optimal Methods for Solving Random Quadratic Equations with Structure

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Linearly Convergent Algorithms for Learning Shallow Residual Networks

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Max-affine regression with universal parameter estimation for small-ball designs

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Sample-Efficient Low Rank Phase Retrieval

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Expectation Maximization (EM) Converges for General Agnostic Mixtures

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Phase Retrieval of Spectrally Sparse Signals

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Phase Retrieval Using Alternating Minimization in a Batch Setting

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Adaptive Optics for Orbital Angular Momentum-Based Internet of Underwater Things Applications

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Robust Channel Estimation for Noncoherent Magnitude-Based MIMO in Low-Cost Massive Machine-Type Communications

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Low-Complexity Implementation of Convex Optimization-Based Phase Retrieval

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A Phase-Retrieving Coherent Receiver Based on Two-Dimensional Photodetector Array

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On the Phase Retrievability of Phase-Retrieval Coherent Receivers

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Random Scattering and Alternating Projection Optimization for Active Phase Control of a Laser Beam Array

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Towards Atomic MIMO Receivers

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Robust Phaseless Imaging via Reverse Kullback-Leibler Divergence—Part 1: Reconstruction Methods

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Phaseless Multistatic Synthetic Aperture Radar Imaging

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Alternating Minimization Algorithms for Hybrid Precoding in Millimeter Wave MIMO Systems

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An Overview of Low-Rank Matrix Recovery From Incomplete Observations

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STFT Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms

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Hypergraph Spectral Clustering in the Weighted Stochastic Block Model

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Deep Unrolled Single Snapshot Phase Retrieval via Non-Convex Formulation and Phase Mask Design

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Characterizing Mode Propagation in PMMA POFs With Intensity Measurements and Phase Retrieval

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Fast Phase Retrieval for High Dimensions: A Block-Based Approach

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Kaczmarz Method for Solving Quadratic Equations

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Phase Retrieval From Binary Measurements

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Graph-Aware Alternating Minimization for Blind Deconvolution of Graph Filters and Signals

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Channel Estimation for Rydberg Atomic Receivers

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Phase Retrieval with Application to Optical Imaging: A contemporary overview

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Nonconvex Structured Phase Retrieval: A Focus on Provably Correct Approaches

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Direct-detection mode-division multiplexing enabled by phase retrieval

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Passive Multistatic Radar Imaging with Prior Information

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Support Estimation of Analytic Eigenvectors of Parahermitian Matrices

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