3 papers
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 Äech or Rips filtration are stable under small pertur…
math.AG2025
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…
stat.ML2025
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.…