2 papers
cs.CG2026
Sierpiński--Knopp Wasserstein Distance for Persistence Diagrams and Applications to 2-Wasserstein Approximation
Sebastien Tchitchek, Julien Tierny
This paper introduces the Sierpiński-Knopp (SK) Wasserstein distance, a fast metric between persistence diagrams. The SK-Wasserstein distance, denoted , maps diagr…
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…