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Julien Tierny · @JulienTierny
31 followers · 14 posts · Server fosstodon.org
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The Wasserstein metric between can be easily extended to by restricting the set of candidate assignments to partial isomorphisms 👇
arxiv.org/abs/2207.10960

Available in the !

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

#persistencediagrams #mergetrees #topologytoolkit #TopologicalDataAnalysis #datascience #visualization

Last updated 2 years ago
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Julien Tierny · @JulienTierny
31 followers · 13 posts · Server fosstodon.org
Open media

Check out the new Example Website!
Dozens of pipelines.
Today, learn how to extract persistent 1-cycles in the cosmic web from in 39 lines of 👇
topology-tool-kit.github.io/ex

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

#topologytoolkit #TopologicalDataAnalysis #astrophysics #python #visualization #datascience #machinelearning

Last updated 2 years ago
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Julien Tierny · @JulienTierny
26 followers · 10 posts · Server fosstodon.org
Open media

Check out the new Example Website!
Dozens of pipelines.
🧑‍🎓Today, learn how to extract persistent 1-cycles in high-dimensional data in 63 lines of 👇
topology-tool-kit.github.io/ex

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

#topologytoolkit #TopologicalDataAnalysis #python #datascience #machinelearning

Last updated 2 years ago
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Julien Tierny · @JulienTierny
23 followers · 8 posts · Server fosstodon.org
Open media

Check out the new Example Website!
Dozens of pipelines.

Today, learn how to cluster datasets with intricate structures based on their in 85 lines of

topology-tool-kit.github.io/ex

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

#topologytoolkit #TopologicalDataAnalysis #persistencediagrams #python #datascience #machinelearning

Last updated 2 years ago
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Julien Tierny · @JulienTierny
22 followers · 7 posts · Server fosstodon.org
Open media

Two p-cycles a and b are "homologous" (i.e. belong to the same class) if there exists a (p+1)-chain c, such that b = a + ∂c (mod-2 sum)
👇
arxiv.org/abs/2206.13932

#homology #TopologicalDataAnalysis #topologytoolkit #persistenthomology #visualization #datascience #machinelearning

Last updated 2 years ago
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Julien Tierny · @JulienTierny
21 followers · 6 posts · Server fosstodon.org
Open media

Need to analyze a collection of datasets based on their ?
Check out our new approach for Principal Geodesic Analysis in the Wasserstein space of , with applications to dimension reduction:
arxiv.org/abs/2207.10960

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

#persistencediagrams #TopologicalDataAnalysis #visualization #datascience #machinelearing #topologytoolkit

Last updated 2 years ago
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Julien Tierny · @JulienTierny
21 followers · 5 posts · Server fosstodon.org
Open media

Check out our new paper with
@_gosiao
on the of magnetic currents in molecules with the 👇
Accepted to
@PCCP
arxiv.org/abs/2212.08690

#TopologicalDataAnalysis #topologytoolkit #persistenthomology #visualization #compchem #paraview

Last updated 2 years ago
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Julien Tierny · @JulienTierny
20 followers · 4 posts · Server fosstodon.org
Open media

Checkout the new Example Website!
Dozens of pipelines.
🧑‍🎓Today, learn how to compute the distance between the of two datasets in 48 lines of 👇
topology-tool-kit.github.io/ex

#topologytoolkit #TopologicalDataAnalysis #wasserstein #persistencediagrams #python #datascience #machinelearning

Last updated 2 years ago
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Julien Tierny · @JulienTierny
18 followers · 3 posts · Server fosstodon.org
Open media

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

#persistencediagram #topologytoolkit #TopologicalDataAnalysis #datascience #visualization #machinelearning #python

Last updated 2 years ago
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Julien Tierny · @JulienTierny
18 followers · 3 posts · Server fosstodon.org
Open media

Need to analyze a collection of datasets based on their topological signatures?
Checkout our new paper on Principal Geodesics of merge trees and persistence diagrams:
arxiv.org/abs/2207.10960
Already in the !

#ieeetvcg #topologytoolkit #TopologicalDataAnalysis #visualization #datascience #machinelearning

Last updated 2 years ago
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