Persistence Curves: A canonical framework for summarizing persistence diagrams

Understand

Persistence diagrams are one of the main tools in the field of Topological Data Analysis (TDA).

• They contain fruitful information about the shape of data.
• The use of machine learning algorithms on the space of persistence diagrams proves to be challenging as the space lacks an inner product.
• For that reason, transforming these diagrams in a way that is compatible with machine learning is an important topic currently researched in TDA.