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 extract persistent 1-cycles in the cosmic web from #Astrophysics in 39 lines of #Python π
https://topology-tool-kit.github.io/examples/persistentGenerators_darkSky/
#Visualization #DataScience #Machinelearning
Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)
#topologytoolkit #TopologicalDataAnalysis #astrophysics #python #visualization #datascience #machinelearning
Check out the new #TopologyToolKit Example Website!
Dozens of #TopologicalDataAnalysis pipelines.
π§βπToday, learn how to extract persistent 1-cycles in high-dimensional data in 63 lines of #Pythonπ
https://topology-tool-kit.github.io/examples/persistentGenerators_periodicPicture/
#DataScience #Machinelearning
Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)
#topologytoolkit #TopologicalDataAnalysis #python #datascience #machinelearning
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
Two p-cycles a and b are "homologous" (i.e. belong to the same #Homology class) if there exists a (p+1)-chain c, such that b = a + βc (mod-2 sum)
π
https://arxiv.org/abs/2206.13932
#TopologicalDataAnalysis #TopologyToolKit #PersistentHomology #Visualization #DataScience #MachineLearning
#homology #TopologicalDataAnalysis #topologytoolkit #persistenthomology #visualization #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
Check out our new paper with
@_gosiao
on the #TopologicalDataAnalysis of magnetic currents in molecules with the #TopologyToolKit π
Accepted to
@PCCP
https://arxiv.org/abs/2212.08690
#PersistentHomology #visualization #compchem #paraview
#TopologicalDataAnalysis #topologytoolkit #persistenthomology #visualization #compchem #paraview
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
Announcement: our lightning fast β‘οΈ approach for #PersistenceDiagram computation has been accepted to IEEE TVCG!
Available in the #TopologyToolKit!
Details and benchmarks π
https://arxiv.org/abs/2206.13932
#TopologicalDataAnalysis #datascience #visualization #machinelearning #python
#persistencediagram #topologytoolkit #TopologicalDataAnalysis #datascience #visualization #machinelearning #python
Need to analyze a collection of datasets based on their topological signatures?
Checkout our new #IEEETVCG paper on Principal Geodesics of merge trees and persistence diagrams:
https://arxiv.org/abs/2207.10960
Already in the #TopologyToolKit!
#TopologicalDataAnalysis #Visualization #DataScience #machinelearning
#ieeetvcg #topologytoolkit #TopologicalDataAnalysis #visualization #datascience #machinelearning