Speaker
Jeffrey Giansiracusa
(Durham University)
Description
Topological data analysis (TDA) is a powerful and flexible data analysis toolset that provides computational methods for extracting and quantifying non-local topological features in data. I will give an introduction to one of the main tools in TDA - persistent homology - with a view towards applications to lattice field theory configuration data. The input is a geometric data structure called a filtered complex which functions as a lens in determining what kinds of structures the method can detect. The output is a data structure called a persistence diagram that I will explain how to interpret and work with.
Primary author
Jeffrey Giansiracusa
(Durham University)
Co-authors
Biagio Lucini
(Swansea University)
Xavier Crean
(Swansea University)
