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math.AT2026
Robustness of Persistent Topological Features and Minimum Homological Cuts
Pepijn Roos Hoefgeest, Lucas Slot
Persistent homology is a popular method for computing topological features of (metric) data. Standard approaches based on the Čech or Rips filtration are stable under small perturb…
math.AT2022
The Christoffel-Darboux kernel for topological data analysis
Pepijn Roos Hoefgeest, Lucas Slot
Persistent homology has been widely used to study the topology of point clouds in . Standard approaches are very sensitive to outliers, and their computational comple…