Phase retrieval: From computational imaging to machine learning: A tutorial
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 …
measurements. As it pervades a broad variety of applications, many researchers have …
Spectral methods for data science: A statistical perspective
Spectral methods have emerged as a simple yet surprisingly effective approach for
extracting information from massive, noisy and incomplete data. In a nutshell, spectral …
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 …
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
Holography provides access to the optical phase. The emerging compressive phase
retrieval approach can achieve in-line holographic imaging beyond the information-theoretic …
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 …
rotationally invariant design matrices. Since these matrices can have an arbitrary spectral …
From symmetry to geometry: Tractable nonconvex problems
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 …
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 …
generalized linear model. We focus on estimators based on approximate message passing …
Image reconstruction without explicit priors
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 …
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
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 …
super-resolution phase imaging. The approach is based on a computational separation of …
Practical phase retrieval using double deep image priors
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 …
We identify the connection between the difficulty level and the number and variety of …