学术报告报告题目: Quantifying low rank approximations of third order symmetric tensors
报 告 人: 胡胜龙 教授
报告时间: 2025年6月30日（星期一）11:00-12:00
地 点：37号楼3A02
邀 请 人: 潘少华教授
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数学学院
2025年6月26日
报告摘要：
In this talk, we present a method to certify the approximation quality of a low rank tensor to a given third order symmetric tensor. Under mild assumptions, best low rank approximation is attained if a control parameter is zero or quantified quasi-optimal low rank approximation is obtained if the control parameter is positive. This is based on a primal-dual method for computing a low rank approximation for a given tensor. The certification is derived from the global optimality of the primal and dual problems, and is characterized by easily checkable relations between the primal and the dual solutions together with another rank condition. The theory is verified theoretically for orthogonally decomposable tensors as well as numerically through examples in the general case.
报告人简介：
胡胜龙，国防科技大学教授，研究方向为张量计算的理论与算法及其应用。部分研究成果发表在Math Program、Num Math、SIMAX、SIIMS、J Symb Comput等期刊。获得中国运筹学会青年科技奖、天津市数学会青年研究奖、Sci China-Math优秀论文奖、浙江省数学会研究成果奖等。入选教育部人才计划、主持湖南省自然科学基金A类、国家自然科学基金和浙江省自然科学基金多项。