Generalized L-product for hight order tensors with applications using GPU computation
Numerical Analysis
2022-02-08 v1 Numerical Analysis
Abstract
In this paper, we will present a generalization of the L-tensor product (L-product) including generalization of the well known tensor cosine and T-products that were defined for third-order tensors and based on fast Fourier transform and discrete cosine transform (DCT). We will give some applications on tensor completion. To solve some optimization problems linked with the problem of tensor completion, we will use the Proximal Gradient Algorithm (PGA) to solve some derived optimization problems. Numerical tests are given to show the effectiveness of the proposed methods and also present some tests using GPU computation.
Cite
@article{arxiv.2202.02870,
title = {Generalized L-product for hight order tensors with applications using GPU computation},
author = {Abdeslem Hafid Ben Tbib and Mouad Elalj and Anas EL Hachimi and Khalide Jbilou and Ahmed Ratnani},
journal= {arXiv preprint arXiv:2202.02870},
year = {2022}
}