标题： 随机块Krylov方法用于截断张量SVD的逼近 显示英文标题

标题： Randomized block Krylov method for approximation of truncated tensor SVD

摘要： 本文致力于研究块Krylov子空间方法在截断张量奇异值分解（T-SVD）逼近中的应用。 提出了所提出的随机方法的理论结果。 进行了使用合成数据和真实数据的几个实验，以验证所提出的随机方法的有效性和可行性，数值结果表明该方法提供了有希望的结果。 给出了所提出方法在数据补全和数据压缩中的应用。 显示英文摘要

摘要： 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.