4 papers · 1 filter
Robust Barycenters of Persistence Diagrams
Keanu Sisouk, Eloi Tanguy, Julie Delon +1
This short paper presents a general approach for computing robust Wasserstein barycenters of persistence diagrams. The classical method consists in computing assignment arithmetic…
Topology Aware Neural Interpolation of Scalar Fields
Mohamed Kissi, Keanu Sisouk, Joshua A. Levine +1
This paper presents a neural scheme for the topology-aware interpolation of time-varying scalar fields. Given a time-varying sequence of persistence diagrams, along with a sparse t…
BondMatcher: H-Bond Stability Analysis in Molecular Systems
Thomas Daniel, Malgorzata Olejniczak, Julien Tierny
This application paper investigates the stability of hydrogen bonds (H-bonds), as characterized by the Quantum Theory of Atoms in Molecules (QTAIM). First, we contribute a database…
A User's Guide to Sampling Strategies for Sliced Optimal Transport
Keanu Sisouk, Julie Delon, Julien Tierny
This paper serves as a user's guide to sampling strategies for sliced optimal transport. We provide reminders and additional regularity results on the Sliced Wasserstein distance.…