报告名称：三阶张量的三元分解法

主讲人：陈艳男 副教授

邀请人：莫长鑫 讲师

刘喜富 副教授

时间：2022年6月1日   10:00

地点：腾讯会议（ID：368 941 650）

主办单位：十大网投正规信誉官网

报告摘要

We introduce a new tensor decomposition for third order tensors, which decomposes a third order tensor to three third order factor tensors. Each factor tensor has two low dimensions. We call such decomposition the triple decomposition, and the corresponding rank the triple rank. The triple rank of a third order tensor is not greater than the middle value of the Tucker rank. The theoretical discovery is confirmed numerically. Numerical tests show that third order tensor data from practical applications such as internet traffic and image are of low triple ranks. A tensor recovery method based on low rank triple decomposition is proposed. Its convergence and convergence rate are established. Numerical experiments confirm the efficiency of this method.

专家简介

陈艳男，博士，华南师范大学副教授。陈艳男博士于2013年在南京师范大学获得博士学位。陈博士已发表SCI论文20余篇，代表性论文发表于SIAM Journal on Matrix Analysis and Applications, SIAM Journal on Scientific Computing, Mathematics of Computation等国际刊物，参与撰写了一本专著《Tensor Eigenvalues and Their Applications》在Springer出版，现主持国家自然科学基金面上项目1项和广东省基础与应用基础研究项目1项，获得2020年度广东省自然科学奖二等奖。