SoSe 17: Topological data analysis
Shane Kelly
Additional information / Pre-requisites
Aimed at: Bachelor and masters students (of mathematics, computer science, physics, etc)
Background: A knowledge of linear algebra is sufficient. The course does not require any previous knowledge of topology or statistics.
Comments
Topological data analysis is a new area which seeks to apply methods from topology to study the "shape" of data sets. It is particularly suited to noisy data sets sitting in potentially high (e.g., 10,000) dimensional spaces, which are none-the-less concentrated around low-dimensional geometric structures that need to be uncovered.
Despite being a new area, topological data analysis has already seen applications in several areas of science and engineering, including oncology, astronomy, neuroscience, image processing, and biophysics.
For more information see:
http://www.mi.fu-berlin.de/users/shanekelly/TopologicalDataAnalysis2017SS.html
Suggested reading
Course texts:
1. Geometric and Topological Inference by Boissonnat and Chazal and Yvinec
2. Topology and data by Gunnar Carlsson
3. Principal Component Analysis of Persistent Homology Rank Functions by Robins and Turner
11 Class schedule
Additional appointments
Thu, 2017-07-06 14:00 - 16:00Regular appointments