New technologies generate unprecedented amounts of data. Extracting actionable information from this data is however difficult. Standard tools applied directly to data which is high dimensional, or when noise is present can result in inaccurate and unreliable conclusions. For more accurate outcomes one strategy is to transform data into signatures that are less sensitive to the noise and irrelevant signals. There is a growing body of evidence from road network reconstructions, neuroscience, vehicle tracking, object recognition, protein structure understanding, suggesting effectiveness of topology based signatures. The aim of this course is to present topology based signatures related to so called bar-codes.

See the following videos for inspiration about Topological Data Analysis:

(Links to an external site.)Gunnar Carlsson: The Shape of Data (DARPA "Wait, What?") (Links to an external site.)
(Links to an external site.) Gunnar Carlsson Introduces Topological Data Analysis (Links to an external site.)