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20240321 张羊晶 DNNLasso: Scalable Graph Learning for Matrix-Variate Data

发布时间:2024-03-19 13:59 浏览次数:来源:

【最优化方向学术报告1】

报告题目:DNNLasso: Scalable Graph Learning for Matrix-Variate Data

报告人:张羊晶 (中国科学院数学与系统科学研究院助理研究员)

邀请人:陈亮

报告地点:数学院425

报告时间: 2024年3月21日 16:00-16:45


报告摘要: We consider the problem of jointly learning row-wise and column-wise dependencies of matrix-variate observations, which

are modelledseparately by two precision matrices. Due to the complicated structure of Kronecker-product precision matrices in the

commonly used matrix-variate Gaussian graphical models, a sparser Kronecker-sum structure was proposed recently based on the Cartesian

product of graphs. However,existing methods for estimating Kronecker-sum structured precision matrices do not scale well to large

scale datasets. In this paper, weintroduce DNNLasso, a diagonally non-negative graphical lasso model for estimating the Kronecker-sum

structured precision matrix, which outperformsthe state-of-the-art methods by a large margin in both accuracy and computational time.



报告人简介:Dr. Yangjing Zhang is currently an assistant professor in Institute of Applied Mathematics, Academy of Mathematics and

Systems Science, Chinese Academy of Sciences. Before Sepetember 2021, she was a research fellow in National University of Singapore.

She obtained the Ph.D degree from National University of Singapore in May 2019, and a B.S. in mathematics from Tsinghua University

in 2014. Her current research is focused on large scale sparse optimization problems, the design of efficient algorithms for

statistical models and graphical models.

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