Deep learning methods for solving linear inverse problems: Research directions and paradigms

Y Bai, W Chen, J Chen, W Guo - Signal Processing, 2020 - Elsevier
The linear inverse problem is fundamental to the development of various scientific areas.
Innumerable attempts have been carried out to solve different variants of the linear inverse …

Learning to optimize: A primer and a benchmark

T Chen, X Chen, W Chen, H Heaton, J Liu… - Journal of Machine …, 2022 - jmlr.org
Learning to optimize (L2O) is an emerging approach that leverages machine learning to
develop optimization methods, aiming at reducing the laborious iterations of hand …

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 …

Learning to optimize: A tutorial for continuous and mixed-integer optimization

X Chen, J Liu, W Yin - Science China Mathematics, 2024 - Springer
Learning to optimize (L2O) stands at the intersection of traditional optimization and machine
learning, utilizing the capabilities of machine learning to enhance conventional optimization …

Hyperparameter tuning is all you need for LISTA

X Chen, J Liu, Z Wang, W Yin - Advances in Neural …, 2021 - proceedings.neurips.cc
Abstract Learned Iterative Shrinkage-Thresholding Algorithm (LISTA) introduces the concept
of unrolling an iterative algorithm and training it like a neural network. It has had great …

Adversarial robustness of supervised sparse coding

J Sulam, R Muthukumar… - Advances in neural …, 2020 - proceedings.neurips.cc
Several recent results provide theoretical insights into the phenomena of adversarial
examples. Existing results, however, are often limited due to a gap between the simplicity of …

Deep Parametric Imaging for Bistatic SAR: Model, Property and Approach

Y Song, W Pu, J Huo, J Wu, Z Li… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Bistatic synthetic aperture radar (BiSAR) parametric imaging can reconstruct the structural
information of the target, which is one of the research hotspots for BiSAR imaging. However …

Data-driven compressed sensing for massive wireless access

Y Bai, W Chen, F Sun, B Ai… - IEEE Communications …, 2022 - ieeexplore.ieee.org
The central challenge in massive machine-type communications (mMTC) is to connect a
large number of uncoordinated devices through a limited spectrum. The typical mMTC …

MAda-Net: Model-adaptive deep learning imaging for SAR tomography

Y Wang, C Liu, R Zhu, M Liu, Z Ding… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The compressive sensing (CS)-based tomographic SAR (TomoSAR) 3-D imaging method
has the shortcoming of low efficiency, mainly represented in two aspects: first, the CS solver …

Generalization error bounds for iterative recovery algorithms unfolded as neural networks

E Schnoor, A Behboodi, H Rauhut - Information and Inference: A …, 2023 - academic.oup.com
Motivated by the learned iterative soft thresholding algorithm (LISTA), we introduce a
general class of neural networks suitable for sparse reconstruction from few linear …