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REST: Robust lEarned Shrinkage-Thresholding Network Taming Inverse Problems with Model Mismatch

Pu, Wei; Zhou, Chao; Eldart, Yonina C; Rodrigues, Miguel RD; (2021) REST: Robust lEarned Shrinkage-Thresholding Network Taming Inverse Problems with Model Mismatch. In: 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). (pp. pp. 2885-2889). IEEE: Toronto, ON, Canada. Green open access

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Abstract

We consider compressive sensing problems with model mismatch where one wishes to recover a sparse high-dimensional vector from low-dimensional observations subject to uncertainty in the measurement operator. In particular, we design a new robust deep neural network architecture by applying algorithm unfolding techniques to a robust version of the underlying recovery problem. Our proposed network –named Robust lErned Shrinkage-Thresholding (REST) –exhibits additional features including enlarged number of parameters and normalization processing compared to state-of-the-art deep architecture Learned Iterative Shrinkage-Thresholding Algorithm (LISTA), leading to the reliable recovery of the signal under sample-wise varying model mismatch. Our proposed network is also shown to outperform LISTA in compressive sensing problems under sample-wise varying model mismatch.

Type: Proceedings paper
Title: REST: Robust lEarned Shrinkage-Thresholding Network Taming Inverse Problems with Model Mismatch
Event: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Location: ELECTR NETWORK
Dates: 6 Jun 2021 - 11 Jun 2021
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/ICASSP39728.2021.9414141
Publisher version: https://doi.org/10.1109/ICASSP39728.2021.9414141
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Technology, Acoustics, Computer Science, Artificial Intelligence, Computer Science, Software Engineering, Engineering, Electrical & Electronic, Imaging Science & Photographic Technology, Computer Science, Engineering, Inverse Problems, Compressive Sensing Problems, Model Mismatch, Robustness, Deep Learning
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10150849
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