TopoEmbedding, a web tool for the interactive analysis of persistent homology

Abstract: Software libraries for Topological Data Analysis (TDA) offer limited support for interactive visualization. Most libraries only allow to visualize topological descriptors (e.g., persistence diagrams), and lose the connection with the original domain of data. This makes it challenging for users to interpret the results of a TDA pipeline in an exploratory context. In this paper, we present TopoEmbedding, a web-based tool that simplifies the interactive visualization and analysis of persistence-based descriptors. TopoEmbedding allows non-experts in TDA to explore similarities and differences found by TDA descriptors with simple yet effective visualization techniques.