2 papers
cs.CG2025
Delaunay-Rips filtration: a study and an algorithm
Mattéo Clémot, Julie Digne, Julien Tierny
The Delaunay-Rips filtration is a lighter and faster alternative to the well-known Rips filtration for low-dimensional Euclidean point clouds. Despite these advantages, it has seld…
cs.CG2025
Topological Autoencoders++: Fast and Accurate Cycle-Aware Dimensionality Reduction
Mattéo Clémot, Julie Digne, Julien Tierny
This paper presents a novel topology-aware dimensionality reduction approach aiming at accurately visualizing the cyclic patterns present in high dimensional data. To that end, we…