TY - CONF AB - We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens during growth as either a feature or noise depending on its life-time or persistence within the filtration. We give fast algorithms for computing persistence and experimental evidence for their speed and utility. AU - Edelsbrunner, Herbert AU - Letscher, David AU - Zomorodian, Afra ID - 4008 SN - 0769508502 T2 - Proceedings 41st Annual Symposium on Foundations of Computer Science TI - Topological persistance and simplification ER -