Phase retrieval with application to optical imaging: a contemporary overview

Y Shechtman, YC Eldar, O Cohen… - IEEE signal …, 2015 - ieeexplore.ieee.org
The problem of phase retrieval, ie, the recovery of a function given the magnitude of its
Fourier transform, arises in various fields of science and engineering, including electron …

Phase retrieval: An overview of recent developments

K Jaganathan, YC Eldar, B Hassibi - Optical Compressive Imaging, 2016 - taylorfrancis.com
Contents Introduction................................................... 264Classic Approaches................................
........... 265 Recent Approaches........................................... 266Sparse Phase …

[HTML][HTML] Phase recovery and holographic image reconstruction using deep learning in neural networks

Y Rivenson, Y Zhang, H Günaydın, D Teng… - Light: Science & …, 2018 - nature.com
Phase recovery from intensity-only measurements forms the heart of coherent imaging
techniques and holography. In this study, we demonstrate that a neural network can learn to …

Infrared small target detection via nonconvex tensor fibered rank approximation

X Kong, C Yang, S Cao, C Li… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Infrared small target detection plays an important role in precision guidance, infrared
warning, and other applications. The infrared patch-tensor (IPT) model has good detection …

[图书][B] Computational methods for electromagnetic inverse scattering

X Chen - 2018 - books.google.com
A comprehensive and updated overview of the theory, algorithms and applications of for
electromagnetic inverse scattering problems Offers the recent and most important advances …

Phase retrieval via Wirtinger flow: Theory and algorithms

EJ Candes, X Li… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We study the problem of recovering the phase from magnitude measurements; specifically,
we wish to reconstruct a complex-valued signal about which we have phaseless samples of …

A geometric analysis of phase retrieval

J Sun, Q Qu, J Wright - Foundations of Computational Mathematics, 2018 - Springer
Can we recover a complex signal from its Fourier magnitudes? More generally, given a set
of m measurements, y_k=\left| a _k^* x\right| yk= ak∗ x for k= 1, ..., mk= 1,…, m, is it possible …

Low-rank matrix completion: A contemporary survey

LT Nguyen, J Kim, B Shim - IEEE Access, 2019 - ieeexplore.ieee.org
As a paradigm to recover unknown entries of a matrix from partial observations, low-rank
matrix completion (LRMC) has generated a great deal of interest. Over the years, there have …

Solving systems of random quadratic equations via truncated amplitude flow

G Wang, GB Giannakis, YC Eldar - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper presents a new algorithm, termed truncated amplitude flow (TAF), to recover an
unknown vector x from a system of quadratic equations of the form yi=|< ai, x>| 2, where ai's …

Implicit regularization in nonconvex statistical estimation: Gradient descent converges linearly for phase retrieval and matrix completion

C Ma, K Wang, Y Chi, Y Chen - International Conference on …, 2018 - proceedings.mlr.press
Recent years have seen a flurry of activities in designing provably efficient nonconvex
optimization procedures for solving statistical estimation problems. For various problems like …