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学术报告九:Randomized Algorithms for the Computation of the Approximate T-UTV and its Applications

时间:2024-02-27 16:11

主讲人 魏益民教授 (复旦大学) 讲座时间 2024年3月1日4:30 - 5:30
讲座地点 汇星楼514 实际会议时间日 01
实际会议时间年月 2024.3

报告题目:Randomized Algorithms for the Computation of the Approximate T-UTV and its Applications

报告人:魏益民教授(复旦大学)

报告地点:汇星楼514

报告时间:2024年3月1日4:30 - 5:30

报告内容: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.

报告人简历:魏益民,复旦大学数学科学院教授、博士生导师。主要从事矩阵/张量方面的理论和应用研究,多次主持国家自然科学基金面上项目、教育部博士点基金项目和973子课题等项目。担任国际学术期刊Computational and Applied Mathematics,Journal of Applied Mathematics and Computing,FILOMAT,《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.,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。5次入选爱思唯尔“中国高被引学者”榜单。

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邀请人:胡耀华