Robust Low-Tubal-rank tensor recovery Using Discrete Empirical Interpolation Method with Optimized Slice/Feature Selection
Numerical Analysis
2023-05-09 v2 Numerical Analysis
Abstract
In this paper, we extend the Discrete Empirical Interpolation Method (DEIM) to the third-order tensor case based on the t-product and use it to select important/ significant lateral and horizontal slices/features. The proposed Tubal DEIM (TDEIM) is investigated both theoretically and numerically. The experimental results show that the TDEIM can provide more accurate approximations than the existing methods. An application of the proposed method to the supervised classification task is also presented.
Cite
@article{arxiv.2305.00749,
title = {Robust Low-Tubal-rank tensor recovery Using Discrete Empirical Interpolation Method with Optimized Slice/Feature Selection},
author = {Salman Ahmadi-Asl and Anh-Huy Phan and Cesar F. Caiafa and Andrzej Cichocki},
journal= {arXiv preprint arXiv:2305.00749},
year = {2023}
}