A forward-backward algorithm for reweighted procedures: Application to radio-astronomical imaging

Research output: Chapter in Book/Report/Conference proceedingConference contribution

45 Downloads (Pure)

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 languageEnglish
Title of host publication2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
PublisherIEEE
Pages1434-1438
Number of pages5
ISBN (Electronic)9781509066315
DOIs
Publication statusPublished - 9 Apr 2020
Event45th IEEE International Conference on Acoustics, Speech and Signal Processing 2020 - Barcelona, Spain
Duration: 4 May 20208 May 2020
https://2020.ieeeicassp.org/

Publication series

NameIEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
ISSN (Electronic)2379-190X

Conference

Conference45th IEEE International Conference on Acoustics, Speech and Signal Processing 2020
Abbreviated titleICASSP 2020
CountrySpain
CityBarcelona
Period4/05/208/05/20
Internet address

Fingerprint Dive into the research topics of 'A forward-backward algorithm for reweighted procedures: Application to radio-astronomical imaging'. Together they form a unique fingerprint.

  • Cite this

    Repetti, A., & Wiaux, Y. (2020). A forward-backward algorithm for reweighted procedures: Application to radio-astronomical imaging. In 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (pp. 1434-1438). (IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)). IEEE. https://doi.org/10.1109/ICASSP40776.2020.9053284