Modeling and Replicating Persistence Diagrams

This course aims to teach students how to model and replicate persistence diagrams, which are useful displays summarizing topological features. The course covers topics such as the Replicating Statistical Topology (RST) approach, parametric modeling, closeness relations between points, and considering diagram shapes. The teaching method includes introducing concepts, presenting examples, and comparing different models through examples. This course is intended for individuals interested in statistical inference, topology, and data analysis.