Randomized block Krylov method for approximation of truncated tensor SVD
Numerical Analysis
2026-03-25 v3 Numerical Analysis
Abstract
This paper is devoted to studying the application of the block Krylov subspace method for approximation of the truncated tensor SVD (T-SVD). The theoretical results of the proposed randomized approach are presented. Several experimental experiments using synthetics and real-world data are conducted to verify the efficiency and feasibility of the proposed randomized approach, and the numerical results show that the proposed method provides promising results. Applications of the proposed approach to data completion and data compression are presented.
Cite
@article{arxiv.2504.04989,
title = {Randomized block Krylov method for approximation of truncated tensor SVD},
author = {Malihe Nobakht Kooshkghazi and Salman Ahmadi-Asl and Andre L. F. de Almeida},
journal= {arXiv preprint arXiv:2504.04989},
year = {2026}
}