Phase retrieval: From computational imaging to machine learning: A tutorial

J Dong, L Valzania, A Maillard, T Pham… - IEEE Signal …, 2023 - ieeexplore.ieee.org
Phase retrieval consists in the recovery of a complex-valued signal from intensity-only
measurements. As it pervades a broad variety of applications, many researchers have …

Spectral methods for data science: A statistical perspective

Y Chen, Y Chi, J Fan, C Ma - Foundations and Trends® in …, 2021 - nowpublishers.com
Spectral methods have emerged as a simple yet surprisingly effective approach for
extracting information from massive, noisy and incomplete data. In a nutshell, spectral …

The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem

MJ Colbrook, V Antun… - Proceedings of the …, 2022 - National Acad Sciences
Deep learning (DL) has had unprecedented success and is now entering scientific
computing with full force. However, current DL methods typically suffer from instability, even …

[HTML][HTML] Iterative projection meets sparsity regularization: towards practical single-shot quantitative phase imaging with in-line holography

Y Gao, L Cao - Light: Advanced Manufacturing, 2023 - light-am.com
Holography provides access to the optical phase. The emerging compressive phase
retrieval approach can achieve in-line holographic imaging beyond the information-theoretic …

Estimation in rotationally invariant generalized linear models via approximate message passing

R Venkataramanan, K Kögler… - … on Machine Learning, 2022 - proceedings.mlr.press
We consider the problem of signal estimation in generalized linear models defined via
rotationally invariant design matrices. Since these matrices can have an arbitrary spectral …

From symmetry to geometry: Tractable nonconvex problems

Y Zhang, Q Qu, J Wright - arXiv preprint arXiv:2007.06753, 2020 - arxiv.org
As science and engineering have become increasingly data-driven, the role of optimization
has expanded to touch almost every stage of the data analysis pipeline, from signal and …

Approximate message passing with spectral initialization for generalized linear models

M Mondelli, R Venkataramanan - … Conference on Artificial …, 2021 - proceedings.mlr.press
We consider the problem of estimating a signal from measurements obtained via a
generalized linear model. We focus on estimators based on approximate message passing …

Image reconstruction without explicit priors

AF Gao, O Leong, H Sun… - ICASSP 2023-2023 IEEE …, 2023 - ieeexplore.ieee.org
We consider solving ill-posed imaging inverse problems without access to an explicit image
prior or ground-truth examples. An overarching challenge in inverse problems is that there …

Single-shot pixel super-resolution phase imaging by wavefront separation approach

P Kocsis, I Shevkunov, V Katkovnik, H Rekola… - Optics …, 2021 - opg.optica.org
We propose a novel approach for lensless single-shot phase retrieval, which provides pixel
super-resolution phase imaging. The approach is based on a computational separation of …

Practical phase retrieval using double deep image priors

Z Zhuang, D Yang, F Hofmann, D Barmherzig… - arXiv preprint arXiv …, 2022 - arxiv.org
Phase retrieval (PR) concerns the recovery of complex phases from complex magnitudes.
We identify the connection between the difficulty level and the number and variety of …