3 papers
cs.GR2025
Region-Aware Wasserstein Distances of Persistence Diagrams and Merge Trees
Mathieu Pont, Christoph Garth
This paper presents a generalization of the Wasserstein distance for both 0th persistence diagrams and merge trees [21], [68] that takes advantage of the regions of their topologic…
cs.LG2024
A Practical Solver for Scalar Data Topological Simplification
Mohamed Kissi, Mathieu Pont, Joshua A. Levine +1
This paper presents a practical approach for the optimization of topological simplification, a central pre-processing step for the analysis and visualization of scalar data. Given…
cs.GR2021
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
Mathieu Pont, Jules Vidal, Julie Delon +1
This paper presents a unified computational framework for the estimation of distances, geodesics and barycenters of merge trees. We extend recent work on the edit distance [106] an…