Topology and Geometry Seminar

Location: CL 312

Speaker: Wojciech Chachólski, KTH Royal Institute of Technology

Title: Data, Geometry and Homology

Abstract:  

For a successful analysis a suitable representation of data by objects amenable for statistical methods is fundamental. There has been an explosion of applications in which homological representations of data played a significant role. I will present one such representation called stable rank and introduce various novel ways of using it to encode geometry, and then analyse, data. I will provide several illustrative examples of how to use stable ranks to find meaningful results.