Robust estimation in linear ILL-Posed problems with adaptive regularization scheme

Mohamed A. Suliman; Houssem Sifaou; Tarig Ballal; Mohamed Slim Alouini; Tareq Y. Al-Naffouri

doi:10.1109/ICASSP.2018.8462651

Robust estimation in linear ILL-Posed problems with adaptive regularization scheme

Mohamed A. Suliman, Houssem Sifaou, Tarig Ballal, Mohamed Slim Alouini, Tareq Y. Al-Naffouri

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In this paper, we propose a new regularized robust estimation approach based on the robust τ-estimator applied to linear ill-posed problems in the presence of noise outliers. Additionally, we introduce a new approach to obtain the optimal regularization parameter for the proposed robust estimator by using tools from random matrix theory. Simulation results demonstrate that the proposed approach with its automated regularization parameter selection outperforms a set of benchmark methods.

Original language	English (US)
Title of host publication	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4504-4508
Number of pages	5
ISBN (Print)	9781538646588
DOIs	https://doi.org/10.1109/ICASSP.2018.8462651
State	Published - Sep 10 2018
Event	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Calgary, Canada Duration: Apr 15 2018 → Apr 20 2018

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2018-April
ISSN (Print)	1520-6149

Conference

Conference	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018
Country/Territory	Canada
City	Calgary
Period	04/15/18 → 04/20/18

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Keywords

Linear inverse problem
Regularization
Robust estimation
Tau estimator

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.2018.8462651

Cite this

Suliman, M. A., Sifaou, H., Ballal, T., Alouini, M. S., & Al-Naffouri, T. Y. (2018). Robust estimation in linear ILL-Posed problems with adaptive regularization scheme. In 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings (pp. 4504-4508). Article 8462651 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2018-April). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2018.8462651

Suliman, Mohamed A. ; Sifaou, Houssem ; Ballal, Tarig et al. / Robust estimation in linear ILL-Posed problems with adaptive regularization scheme. 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 4504-4508 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "In this paper, we propose a new regularized robust estimation approach based on the robust τ-estimator applied to linear ill-posed problems in the presence of noise outliers. Additionally, we introduce a new approach to obtain the optimal regularization parameter for the proposed robust estimator by using tools from random matrix theory. Simulation results demonstrate that the proposed approach with its automated regularization parameter selection outperforms a set of benchmark methods.",

keywords = "Linear inverse problem, Regularization, Robust estimation, Tau estimator",

author = "Suliman, {Mohamed A.} and Houssem Sifaou and Tarig Ballal and Alouini, {Mohamed Slim} and Al-Naffouri, {Tareq Y.}",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 ; Conference date: 15-04-2018 Through 20-04-2018",

year = "2018",

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doi = "10.1109/ICASSP.2018.8462651",

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series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

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Suliman, MA, Sifaou, H, Ballal, T , Alouini, MS & Al-Naffouri, TY 2018, Robust estimation in linear ILL-Posed problems with adaptive regularization scheme. in 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings., 8462651, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2018-April, Institute of Electrical and Electronics Engineers Inc., pp. 4504-4508, 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018, Calgary, Canada, 04/15/18. https://doi.org/10.1109/ICASSP.2018.8462651

Robust estimation in linear ILL-Posed problems with adaptive regularization scheme. / Suliman, Mohamed A.; Sifaou, Houssem; Ballal, Tarig et al.
2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4504-4508 8462651 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2018-April).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Ballal, Tarig

AU - Alouini, Mohamed Slim

AU - Al-Naffouri, Tareq Y.

PY - 2018/9/10

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AB - In this paper, we propose a new regularized robust estimation approach based on the robust τ-estimator applied to linear ill-posed problems in the presence of noise outliers. Additionally, we introduce a new approach to obtain the optimal regularization parameter for the proposed robust estimator by using tools from random matrix theory. Simulation results demonstrate that the proposed approach with its automated regularization parameter selection outperforms a set of benchmark methods.

KW - Linear inverse problem

KW - Regularization

KW - Robust estimation

KW - Tau estimator

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DO - 10.1109/ICASSP.2018.8462651

M3 - Conference contribution

AN - SCOPUS:85054255398

SN - 9781538646588

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Suliman MA, Sifaou H, Ballal T , Alouini MS , Al-Naffouri TY. Robust estimation in linear ILL-Posed problems with adaptive regularization scheme. In 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2018. p. 4504-4508. 8462651. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2018.8462651

Robust estimation in linear ILL-Posed problems with adaptive regularization scheme

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

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