Abstract
During the last decades, reweighted procedures have shown high efficiency in computational imaging. They aim to handle non-convex composite penalization functions by iteratively solving multiple approximated sub-problems. Although the asymptotic behaviour of these methods has recently been investigated in several works, they all necessitate the sub-problems to be solved accurately, which can be sub-optimal in practice. In this work we present a reweighted forward-backward algorithm designed to handle non-convex composite functions. Unlike existing convergence studies in the literature, the weighting procedure is directly included within the iterations, avoiding the need for solving any sub-problem. We show that the obtained reweighted forward-backward algorithm converges to a critical point of the initial objective function. We illustrate the good behaviour of the proposed approach on a Fourier imaging example borrowed to radio-astronomical imaging.
Original language | English |
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Title of host publication | 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) |
Publisher | IEEE |
Pages | 1434-1438 |
Number of pages | 5 |
ISBN (Electronic) | 9781509066315 |
DOIs | |
Publication status | Published - 9 Apr 2020 |
Event | 45th IEEE International Conference on Acoustics, Speech and Signal Processing 2020 - Barcelona, Spain Duration: 4 May 2020 → 8 May 2020 https://2020.ieeeicassp.org/ |
Publication series
Name | IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) |
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ISSN (Electronic) | 2379-190X |
Conference
Conference | 45th IEEE International Conference on Acoustics, Speech and Signal Processing 2020 |
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Abbreviated title | ICASSP 2020 |
Country/Territory | Spain |
City | Barcelona |
Period | 4/05/20 → 8/05/20 |
Internet address |
Keywords
- Fourier imaging
- Non-convex optimization
- astronomical imaging
- forward-backward algorithm
- reweighted procedure
ASJC Scopus subject areas
- Software
- Signal Processing
- Electrical and Electronic Engineering