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【海外名师讲授学分课程】关于举行罗彻斯特大学邱兴教授学术报告会的通知

发布时间:2020-12-01文章来源:华南理工大学数学学院浏览次数:375

授课题目:Geometric methods in advanced statistical inference

授  课  人:邱兴  教授(罗彻斯特大学)

授课内容:

第一讲A review of statistical inference

2020127日至12921302300

第二讲Invariant and equivariant statistical models

20201210日至121221302300

第三讲Introduction to Lie groups [8/24]

20201213日至121521302300

第四讲Using general linear group to speedup dynamic network analysis

20201216日至121821302300

第五讲Applications of geometric methods to real world statistical problems

20201219日至122021302300 

第六讲Future directions in geometric methods for statistical models            

20201221日至122221302300

授课地点:腾讯会议,ID 886 9329 7132,会议密码:1207

人:杨俊副教授

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数学学院

2020121

课程介绍:

We propose to study the statistical analysis on manifold by the method of symmetry. Many useful manifolds are symmetric under certain Lie group actions. From the statistical perspective, if we have a statistical model that is invariant or equivariant under a Lie group transformation, we can first study the properties of the corresponding Lie algebra, which is a linear space therefore easy to study, and then use the exponential map to translate these properties back to the original Lie group hence the original statistical model. We can also use Lie groups to construct maximal invariant, and use it as an efficient dimension reduction method.

 

授课人简介:

邱兴,于1996年获华南理工大学工学学士学位,1996年师从沈尧天老师,2004年获罗彻斯特大学博士学位。现任罗彻斯特大学教授,在微分方程与泛函分析,随机过程,统计数据处理上有很深的造诣。已在Nature等期刊发表论文九十余篇。