Solving phase retrieval with random initial guess is nearly as good as by spectral initialization

Toward the Optimal Construction of a Loss Function Without Spurious Local Minima for Solving Quadratic Equations

(2019) Zhenzhen Li et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Solving Systems of Random Quadratic Equations via Truncated Amplitude Flow

(2018) Gang Wang et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Phase Retrieval With Random Gaussian Sensing Vectors by Alternating Projections

(2018) Irene Waldspurger   IEEE TRANSACTIONS ON INFORMATION THEORY

Non-Convex Phase Retrieval From STFT Measurements

(2018) Tamir Bendory et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Theoretical insights into the optimization landscape of over-parameterized shallow neural networks

(2018) Mahdi Soltanolkotabi et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

A Geometric Analysis of Phase Retrieval

(2017) Ju Sun et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Blind Recovery of Sparse Signals From Subsampled Convolution

(2017) Kiryung Lee et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Complete Dictionary Recovery Over the Sphere I: Overview and the Geometric Picture

(2017) Ju Sun et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Phaseless Recovery Using the Gauss–Newton Method

(2017) Bing Gao et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

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

(2016) Yuxin Chen et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

An algebraic characterization of injectivity in phase retrieval

(2015) Aldo Conca et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Phase Retrieval with Application to Optical Imaging: A contemporary overview

(2015) Yoav Shechtman et al.   IEEE SIGNAL PROCESSING MAGAZINE

Phase Retrieval via Wirtinger Flow: Theory and Algorithms

(2015) Emmanuel J. Candes et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Phase Retrieval Using Alternating Minimization

(2015) Praneeth Netrapalli et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Experimental robustness of Fourier ptychography phase retrieval algorithms

(2015) Li-Hao Yeh et al.   OPTICS EXPRESS

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

(2013) Emmanuel J. Candès et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Phase recovery, MaxCut and complex semidefinite programming

(2013) Irène Waldspurger et al.   MATHEMATICAL PROGRAMMING

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

(2012) Emmanuel J. Candès et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Array imaging using intensity-only measurements

(2010) Anwei Chai et al.   INVERSE PROBLEMS

Extending X-Ray Crystallography to Allow the Imaging of Noncrystalline Materials, Cells, and Single Protein Complexes

(2007) Jianwei Miao et al.   Annual Review of Physical Chemistry