Yu-Min Chung, UNC Greensboro, Summaries of persistence diagrams and their applications to data science
Topological Data Analysis (TDA) is a relatively young field in both algebraic topology and machine learning. Tools from TDA, in particular persistent homology, have proven successful in many scientific disciplines. Persistence diagrams, a typical way to study persistent homology, contain fruitful information about the underlying objects. However, performing statistical methods directly on the space of persistence diagrams is…