4 papers
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…
Testing the variety hypothesis
A. Lerario, P. Roos Hoefgeest, M. Scolamiero +1
Given a probability measure on the unit disk, we study the problem of deciding whether, for some threshold probability, this measure is supported near a real algebraic variety of g…
Certifying Robustness via Topological Representations
Jens Agerberg, Andrea Guidolin, Andrea Martinelli +3
We propose a neural network architecture that can learn discriminative geometric representations of data from persistence diagrams, common descriptors of Topological Data Analysis.…
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…