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Manifold Fitting

发布日期:2026-04-15点击数:

报告人:姚志刚 副教授(新加坡国立大学)

时间:2026年4月20日 14:30-

地点:数统学院LD701

个人网站:https://zhigang-yao.github.io/ 


摘要:The field exploring the interaction between statistics and geometry has been expanding rapidly in both scope and influence. The idea of manifold fitting traces back to H. Whitney’s work in the early 1930s. A central question is: given a set of data, under what conditions can we find a smooth d-dimensional surface (or manifold) that approximates it well, and how can we quantify the quality of that fit in terms of distance and smoothness? In this talk, I will give an overview of the manifold fitting problem and highlight some recent insights and developments. The discussion will draw on recent work by Yao, Yau, and collaborators, as well as ongoing research.


邀请人:苏佳骥


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。