Robust tensor regression with applications in imaging

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Journal Title
Journal ISSN
Volume Title
Conference article in proceedings
Date
2022
Major/Subject
Mcode
Degree programme
Language
en
Pages
5
887-891
Series
2022 30th European Signal Processing Conference (EUSIPCO), European Signal Processing Conference
Abstract
Tensor regression models have gained popularity in problems where covariates are tensors (multidimensional arrays) such as images. Tensor regression models are able to efficiently exploit the temporal and/or spatial structure of tensor covariates (e.g., in hyperspectral or fMRI images) by imposing a low-rank assumption on the parameter tensor. In this paper, we propose a robust tensor regression estimation method within the framework of Kruskal tensor regression model. We consider Huber's concomitant criterion for regression and scale as it offers a good tradeoff between robustness and computational feasibility. An efficient alternating minimization algorithm is proposed for estimating the unknown regression parameters. Our simulation studies with synthetic image signals illustrate that the proposed estimator performs similarly compared to benchmark method when errors are Gaussians but offers superior performance in heavy-tailed noise, while having similar computational complexity.
Description
Publisher Copyright: © 2022 European Signal Processing Conference, EUSIPCO. All rights reserved.
Keywords
Huber's criterion, outliers, PARAFAC, robustness, tensor regression
Other note
Citation
Ollila , E & Kim , H J 2022 , Robust tensor regression with applications in imaging . in 2022 30th European Signal Processing Conference (EUSIPCO) . European Signal Processing Conference , IEEE , pp. 887-891 , European Signal Processing Conference , Belgrade , Serbia , 29/08/2022 . < https://eurasip.org/Proceedings/Eusipco/Eusipco2022/pdfs/0000887.pdf >