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"九章讲坛"第649讲 — 高斌 副研究员

日期:2023-03-22点击数:

应304am永利集团官网邓伟华教授邀请,中国科学院数学与系统科学研究院高斌副研究员将于2023年3月24日-26日访问兰州大学,期间举办专题学术报告,欢迎全校师生参加。

报告题目: Optimization on matrix manifolds: a computational point of view

时 间:3月26日(星期日)11:30-12:30

地 点:理工楼 631

报告摘要:Over the past few decades, optimization on manifolds has received increasing interest in research and engineering, recognized as a wide, beautiful and effective generalization of unconstrained optimization. These problems arise often in engineering applications, including in machine learning, computer vision, signal processing, dynamical systems and scientific computing. Involving a Riemannian structure on smooth manifolds is sufficient to define gradients and Hessians on the manifold, paving the way for optimization. Hence, we can generalize the standard algorithms from unconstrained optimization to handle the broader class of optimization over smooth manifolds. My talk is concerned with some specific manifolds including the Stiefel manifold, the symplectic Stiefel manifold, and fixed-rank manifolds. The purpose of my talk is to develop efficient algorithms for solving optimization problems on these manifolds and to study the Riemannian structure of manifolds.

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报告人简介

高斌,中国科学院数学与系统科学研究院计算数学所副研究员。2019年毕业于中国科学院数学与系统科学研究院。曾先后赴比利时法语鲁汶大学,德国明斯特大学从事博士后研究。其主要研究兴趣是最优化计算方法的理论,分析和应用,研究内容包括矩阵流形上的优化算法,机器学习中的矩阵填充问题等。在SIAM系列杂志发表多篇论文。曾获中国科学院院长特别奖、中国数学会颁发的钟家庆数学奖。


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