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【應數系演講-106-04-28】Data Driven Geometry for Learning
國立東華大學應用數學系 專 題 演 講 主講人: 周珮婷 教授 國立政治大學統計系 講 題:Data Driven Geometry for Learning 時 間:106 年 04月 28日 (星期五) 15:20-17:00 地 點:理工一館 A324會議室 摘 要 High dimensional covariate information is taken as a detailed description of any individuals involved in a machine learning and classification problem. The inter-dependence patterns among these covariate vectors may be unknown to researchers. This fact is not well recognized in classic and modern machine learning literature. In this talk, I will implement an accommodating attitude to exploit potential inter-dependence patterns embedded within the high dimensionality throughout by first computing the similarity between data nodes and then discovering pattern information in the form of Ultrametric tree geometry among almost all the covariate dimensions involved. Then, I will make use of these patterns to build supervised and semi-supervised learning algorithms. My data-driven learning approaches begin with the binary-class setting, then go into the multiple-class setting. Finally, I will demonstrate the efficiencies of my learning algorithms with several datasets.
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