报告名称：An Efficient Algorithm for Computing the Approximate t-URV and its Applications

主讲人：魏益民 教授

邀请人：宋义生 教授

时间：2023年5月12日   10:00

地点：best365体育官网登录入口326会议室

主办单位：best365体育官网登录入口

报告摘要

This talk is devoted to the definition and computation of the tensor complete orthgonal decomposition of a third-order tensor called t-URV decompositions. We first give the definition for the t-URV decomposition of a third-order tensor and derive a deterministic algorithm for computing the t-URV. We then present a randomized algorithm to approximate t-URV, named compressed randomized t-URV (cort-URV). Note that t-URV and cort-URV are extensions of URV and compressed randomized URV from the matrix case to the tensor case, respectively. We also establish the deterministic and average-case error bounds for this algorithm. Finally, we illustrate the effectiveness of the proposed algorithm via several numerical examples, and we apply cort-URV to compress the data tensors from some image and video databases.

专家简介

复旦大学数学学院教授，现担任国际学术期刊Computational and Applied Mathematics, Journal of Applied Mathematics and Computing,FILOMAT, 和 Communications in Mathematical Research,《高校计算数学学报》的编委. 在国际学术期刊Math. Comput., SIAM J. Sci. Comput.,SIAM J. Numer Anal., SIAM J. Matrix Anal. Appl., J. Sci. Comput., IEEE Trans. Auto. Control, IEEE Trans.Neural Network Learn. System, Neurocomputing 和 Neural Computation 等发表论文150余篇;在EDP Science, Elsevier, Springer, World Scientific和科学出版社等出版英语专著5本.6次入选爱思唯尔“中国高被引学者”榜单.Google学术引用9000余次，H指数48.他的主要研究方向是数值线性代数，多重线性代数的快速算法及其应用。