关于厦门大学黄文教授来校讲学的预告

作者: 时间:2023-08-04 点击数:10

应数学与计算科学学院、广西应用数学中心(沙巴足球(中国)股份有限公司官网)及广西高校数据分析与计算重点实验室邀请,厦门大学黄文教授将于202387日来校讲学,欢迎全校师生踊跃参加,报告具体安排如下:

 

报告题目:Riemannian Optimization and Its Application to Clustering Problems

主讲人:厦门大学 黄文教授

时间202387日(周一)上午9:30-11:30

地点:金鸡岭校区图书馆3305会议室

 

报告摘要:

Optimization on Riemannian manifolds, also called Riemannian optimization, considers finding an optimum of a real-valued function defined on a Riemannian manifold. Riemannian optimization has been a topic of much interest over the past few years due to many important applications, e.g., blind source separation, computations on symmetric positive matrices, low-rank learning, graph similarity, community detection, and elastic shape analysis. In this presentation, the framework of Riemannian optimization is introduced, and the current state of Riemannian optimization algorithms are briefly reviewed. To show the applications of Riemannian optimization algorithms, we reformulate the clustering problems as optimization problems on a subset of a Euclidean space. The subset is proven to be a Riemannian manifold and its manifold geometry structure is also derived. An inexact Riemannian proximal gradient method is developed with its global convergence result. Numerical experiments are used to show its performance.

主讲人简介:

  黄文教授,博士生导师,2014年毕业于佛罗里达州立大学,获应用与计算数学博士学位。2014年至2016年在比利时新鲁汶大学数学工程系担任博士后。2016年至2018年在美国莱斯大学计算与应用数学系担任法伊佛博士后讲师。20189月加入厦门大学,并于2021年入选国家级高层次人才青年项目。他的主要研究兴趣在黎曼流形上的优化算法及其应用,包括信号处理,图像处理,计算机视觉,网络成分分析,统计,机器学习等大规模问题的理论以及算法实现。研究成果发表在SIOPTSISCMATH PROGRAMNUMER MATH等主流期刊。他开发了用来分析生物进化树的软件工具包TreeScaper以及用来解决流形优化问题的C++软件工具包ROPTLIB

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