应用拓扑系列讲座
报告人：吴杰 教授（新加坡国立大学、河北师范大学）
Lecture 1: Topology in Data Science I---Overview of Topological Data Analysis（面向本科生，欢迎老师和研究生参加）
时间：2019年10月25日星期五下午3:30开始
地点：玉泉校区工商楼四楼报告厅
Lecture 2: Topology in Data Science II---Topological structures of Subgraphs, and a Uniform Topological Approach to Data Analytics
（面向老师和研究生，也欢迎本科生参加）
时间：2019年10月26日星期六下午3:30开始
地点：玉泉校区工商楼四楼报告厅
Abstract: Topology has become one of commonly used tools in data science since last few years. This mini-course on “Topology in Data Science” consists of two lectures.
In the first lecture, we will give an overview of topological data analysis. After giving a brief review on Data Science, Artificial Intelligence and Machine Learning, we will highlight various applications of topology in frontier sciences and technologies. Finally we will talk the mathematical ideas of topological data analysis.
In the second lecture, we will talk our recent research on a generalization of the current topological methodologies in data analytics. We will introduce the notion of super persistent homology. This new notion leads to a uniform topological approach to data science, which removes the distance hypothesis of current persistent homology so that it can be a suitable topological tool for both pointed cloud data and graphical data. The new topological approach might lead to applications to data analytics on social networks on finance, economics and management.