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 …

Visualizing the loss landscape of neural nets

H Li, Z Xu, G Taylor, C Studer… - Advances in neural …, 2018 - proceedings.neurips.cc
Neural network training relies on our ability to find" good" minimizers of highly non-convex
loss functions. It is well known that certain network architecture designs (eg, skip …

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 …

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 …

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 …

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 …

Optimal errors and phase transitions in high-dimensional generalized linear models

J Barbier, F Krzakala, N Macris… - Proceedings of the …, 2019 - National Acad Sciences
Generalized linear models (GLMs) are used in high-dimensional machine learning,
statistics, communications, and signal processing. In this paper we analyze GLMs when the …

Wirtinger holography for near-eye displays

P Chakravarthula, Y Peng, J Kollin, H Fuchs… - ACM Transactions on …, 2019 - dl.acm.org
Near-eye displays using holographic projection are emerging as an exciting display
approach for virtual and augmented reality at high-resolution without complex optical setups …

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 …

Learned hardware-in-the-loop phase retrieval for holographic near-eye displays

P Chakravarthula, E Tseng, T Srivastava… - ACM Transactions on …, 2020 - dl.acm.org
Holography is arguably the most promising technology to provide wide field-of-view compact
eyeglasses-style near-eye displays for augmented and virtual reality. However, the image …