报告主题：对称张量的核范数
报告人：Jiawang Nie 教授 （加州大学圣地亚哥分校）
报告时间：2017年 7月13日（周四）9:00
报告地点：校本部G507
邀请人：周安娃
报告摘要：We discuss nuclear norms of symmetric tensors. As recently shown by Friedland and Lim, the nuclear norm of a symmetric tensor can be achieved at a symmetric decomposition. We show how to compute symmetric tensor nuclear norms, depending on the tensor order and the ground field. Lasserre relaxations are proposed for the computation. The theoretical properties of the relaxations are studied. For symmetric tensors, we can compute their nuclear norms, as well as the nuclear decomposition. The proposed methods can also be extended to nonsymmetric tensors.
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