3 papers
cs.CG2025
Continuous Edit Distance, Geodesics and Barycenters of Time-varying Persistence Diagrams
Sebastien Tchitchek, Mohamed Kissi, Julien Tierny
We introduce the Continuous Edit Distance (CED), a geodesic and elastic distance for time-varying persistence diagrams (TVPDs). The CED extends edit-distance ideas to TVPDs by comb…
cs.LG2025
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…
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…