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Graduate Seminar
Clive Newstead Carnegie Mellon University Title: Introduction to topological data analysis Abstract: Imagine you're a being bombarded with huge quantities data and being asked to make sense of it... except, this data is in the form of highdimensional vectors, and you don't even know which dimensions are relevant. If you could so much as notice that the data appears in a number of separate clusters, or that there are 'holes' in the data, you might be able to say something useful about your data set. Topological data analysis applies principles of algebraic topology, in particular simplicial homology theory, to such problems, providing qualitative information not accessible using purely geometric or linear algebraic techniques. In this talk I'll outline the basic underlying topological principles and discuss recent work by Gunnar Carlsson and others in this direction. Date: Tuesday, October 14, 2014 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Zilin Jiang Note: Video http://youtu.be/x790JrEf5C4 