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學術(shù)報告:Completely positive tensor recovery with minimal nuclear value

報告嘉賓:周安娃   
報告時間:20181026日周五下午15:30

報告地點:西教五 416(理學院)

報告題目: Completely positive tensor recovery with minimal nuclear value

 

報告摘要: In this paper, we introduce the CP-nuclear value of a completely positive (CP) tensor and study its properties. A semidefinite relaxation algorithm is proposed for solving the minimal CP-nuclear-value tensor recovery. If a partial tensor is CP-recoverable, the algorithm can give a CP tensor recovery with the minimal CP-nuclear value, as well as a CP-nuclear decomposition of the recovered CP tensor. If it is not CP-recoverable, the algorithm can always give a certificate for that, when it is regular. Some numerical experiments are also presented.

 

報告人簡介:周安娃,上海大學數(shù)學系師資博士后。20166月博士畢業(yè)于上海交通大學數(shù)學科學學院,主要研究方向為完全正規(guī)劃、張量計算和多項式優(yōu)化。在 Mathematical Programming SIAM Journal of Matrix Analysis and its ApplicationsMathematics of Operations Research等國際頂級學術(shù)期刊上發(fā)表SCI論文10余篇。榮獲2016年度博士后創(chuàng)新人才支持計劃(當年全國數(shù)學學科僅7人獲批),分別獲2015年和2016年度上海市運籌學會優(yōu)秀論文一等獎。主持中國博士后科學基金第60批面上資助一項,主持國家自然科學青年基金一項。