#topologytoolkit — Public Fediverse posts

📢Announcement: we're happy to announce the release 1.2 of the #TopologyToolKit! 🎉
Downloads: https://topology-tool-kit.github.io/downloads.html
Examples: https://topology-tool-kit.github.io/examples/
Checkout the ChangeLog 👇
https://github.com/topology-tool-kit/ttk/releases/tag/1.2.0
#TopologicalDataAnalysis #datascience #visualization #machinelearning #python

The Wasserstein metric between #PersistenceDiagrams can be easily extended to #MergeTrees by restricting the set of candidate assignments to partial isomorphisms 👇
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/)

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 👇
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/)

Check out the new #TopologyToolKit Example Website!
Dozens of #TopologicalDataAnalysis pipelines.
🧑‍🎓Today, learn how to extract persistent 1-cycles in high-dimensional data in 63 lines of #Python👇
https://topology-tool-kit.github.io/examples/persistentGenerators_periodicPicture/
#Visualization #DataScience #Machinelearning

Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)

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/)

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 + ∂c (mod-2 sum)
👇
https://arxiv.org/abs/2206.13932
#TopologicalDataAnalysis #TopologyToolKit #PersistentHomology #Visualization #DataScience #MachineLearning
Funded by the European Research Council (ERC) (project TORI, https://erc-tori.github.io/)

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/)

Check out our new paper with @_gosiao on the #TopologicalDataAnalysis of magnetic currents in molecules with the #TopologyToolKit 👇
Accepted to @PCCP
https://arxiv.org/abs/2212.08690
#PersistentHomology #visualization #compchem #paraview

Checkout the new #TopologyToolKit Example Website!
Dozens of #TopologicalDataAnalysis pipelines.
🧑‍🎓Today, learn how to compute the #Wasserstein distance between the #PersistenceDiagrams of two datasets in 48 lines of #Python👇
https://topology-tool-kit.github.io/examples/persistenceDiagramDistance/
#DataScience #Machinelearning

Announcement: our lightning fast ⚡️ approach for #PersistenceDiagram computation has been accepted to IEEE TVCG!
Available in the #TopologyToolKit!
Details and benchmarks 👇
https://arxiv.org/abs/2206.13932
#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