2 papers
cs.LG2025
Cover Learning for Large-Scale Topology Representation
Luis Scoccola, Uzu Lim, Heather A. Harrington
Classical unsupervised learning methods like clustering and linear dimensionality reduction parametrize large-scale geometry when it is discrete or linear, while more modern method…
math.ST2025
Stable and consistent density-based clustering via multiparameter persistence
Alexander Rolle, Luis Scoccola
We consider the degree-Rips construction from topological data analysis, which provides a density-sensitive, multiparameter hierarchical clustering algorithm. We analyze its stabil…