Before revision:   We show that TDA can accurately map out phase diagrams for interacting particles with varying adhesion and self-propulsion , at constant population size as well as when proliferation is permitted.
After revision:  Here, we demonstrate a topology-based machine learning approach for unsupervised profiling of individual and collective phases based on large-scale loops. We show that TDA can accurately map out phase diagrams for interacting particles with varying adhesion and self-propulsion , at constant population size as well as when proliferation is permitted.