The Wasserstein metric between #PersistenceDiagrams can be easily extended to #MergeTrees by restricting the set of candidate assignments to partial isomorphisms π
https://arxiv.org/abs/2207.10960
Available in the #TopologyToolKit!
#TopologicalDataAnalysis #DataScience #Visualization
Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)
#persistencediagrams #mergetrees #topologytoolkit #TopologicalDataAnalysis #datascience #visualization
Check out the new #TopologyToolKit Example Website!
Dozens of #TopologicalDataAnalysis pipelines.
Today, learn how to cluster datasets with intricate structures based on their #PersistenceDiagrams in 85 lines of #Python
https://topology-tool-kit.github.io/examples/clusteringKelvinHelmholtzInstabilities/
#DataScience #Machinelearning
Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)
#topologytoolkit #TopologicalDataAnalysis #persistencediagrams #python #datascience #machinelearning
Need to analyze a collection of datasets based on their #PersistenceDiagrams?
Check out our new approach for Principal Geodesic Analysis in the Wasserstein space of #PersistenceDiagrams, with applications to dimension reduction:
https://arxiv.org/abs/2207.10960
#TopologicalDataAnalysis #Visualization #DataScience #MachineLearing #TopologyToolKit
Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)
#persistencediagrams #TopologicalDataAnalysis #visualization #datascience #machinelearing #topologytoolkit
Checkout the new #TopologyToolKit Example Website!
Dozens of #TopologicalDataAnalysis pipelines.
π§βπToday, learn how to compute the #Wasserstein distance between the #PersistenceDiagrams of two datasets in 48 lines of #Pythonπ
https://topology-tool-kit.github.io/examples/persistenceDiagramDistance/
#DataScience #Machinelearning
#topologytoolkit #TopologicalDataAnalysis #wasserstein #persistencediagrams #python #datascience #machinelearning