题 目:The computation for low multilinear rank approximations of tensors via power scheme and random projection
报告人:车茂林 博士 (西南财经大学)
时 间:1月4日10:20-11:00
地 点:数信红楼302会议室
摘要:This work is devoted to the computation of low multilinear rank approximations of tensors. Combining the stretegy of power scheme, random projection and well known matrix decompositions (rank-revealing QR and rank-revealing LU), we derive two three-stage randomized algorithms for the low multilinear rank approximation. Based on the singular values of sub-Gaussian matrices, we derive the error bounds for each algorithm with high probability. We illustrate the proposed algorithms via several numerical examples.
报告人简介:车茂林博士,2012年在内江师范学院获得理学学士学位,2017年于复旦大学获得理学博士学位,现就职于西南财经大学经济数学学院.已在国内外学术期刊上发表数篇学术论文.现阶段主要研究兴趣包括神经网络、矩阵和张量低秩逼近的随机算法等.