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 …

Phasemax: Convex phase retrieval via basis pursuit

T Goldstein, C Studer - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
We consider the recovery of a (real-or complex-valued) signal from magnitude-only
measurements, known as phase retrieval. We formulate phase retrieval as a convex …

Adaptive optics for orbital angular momentum-based internet of underwater things applications

L Zhu, H Yao, H Chang, Q Tian… - IEEE Internet of …, 2022 - ieeexplore.ieee.org
Orbital angular momentum (OAM) has the potential to dramatically enhance the amount of
information in the Internet of Underwater Things (IoUT) system. Nevertheless, underwater …

Phase retrieval under a generative prior

P Hand, O Leong, V Voroninski - Advances in Neural …, 2018 - proceedings.neurips.cc
We introduce a novel deep-learning inspired formulation of the\textit {phase retrieval
problem}, which asks to recover a signal $ y_0\in\R^ n $ from $ m $ quadratic observations …

prDeep: Robust phase retrieval with a flexible deep network

C Metzler, P Schniter… - International …, 2018 - proceedings.mlr.press
Phase retrieval algorithms have become an important component in many modern
computational imaging systems. For instance, in the context of ptychography and speckle …

The numerics of phase retrieval

A Fannjiang, T Strohmer - Acta Numerica, 2020 - cambridge.org
Phase retrieval, ie the problem of recovering a function from the squared magnitude of its
Fourier transform, arises in many applications, such as X-ray crystallography, diffraction …

Large-scale phase retrieval

X Chang, L Bian, J Zhang - Elight, 2021 - Springer
High-throughput computational imaging requires efficient processing algorithms to retrieve
multi-dimensional and multi-scale information. In computational phase imaging, phase …

Consensus-based optimization on the sphere: Convergence to global minimizers and machine learning

M Fornasier, L Pareschi, H Huang, P Sünnen - Journal of Machine …, 2021 - jmlr.org
We investigate the implementation of a new stochastic Kuramoto-Vicsek-type model for
global optimization of nonconvex functions on the sphere. This model belongs to the class of …

Security enhancement for adaptive optics aided longitudinal orbital angular momentum multiplexed underwater wireless communications

L Zhu, X Xin, H Chang, X Wang, Q Tian, Q Zhang… - Optics …, 2022 - opg.optica.org
The frozen-wave-based longitudinal orbital angular momentum multiplexing (LOAMM)
system developed in [IEEE Photonics J. 10, 7900416 (2018) 10.1109/JPHOT …

Global linear and local superlinear convergence of IRLS for non-smooth robust regression

L Peng, C Kümmerle, R Vidal - Advances in neural …, 2022 - proceedings.neurips.cc
We advance both the theory and practice of robust $\ell_p $-quasinorm regression for $ p\in
(0, 1] $ by using novel variants of iteratively reweighted least-squares (IRLS) to solve the …