Explore freely with the full TDA pipeline and experiment with datasets.
Explore the full TDA pipeline: generate a point cloud, build the Vietoris-Rips complex, and visualize persistent homology with barcodes. Try different shapes to build intuition for how topology appears in the persistence output.
Adjust ε to see how the complex evolves. Watch the Betti numbers change as components merge and loops form.
The Vietoris-Rips complex connects points within distance ε and fills in all cliques. Watch how topological features (components, loops) appear and disappear as ε increases.
The barcode summarizes the birth and death of all features across the filtration. Long bars are significant; short bars are noise.
Hover over a bar to see details. Long bars indicate significant topological features; short bars are typically noise.
You've completed the TDA learning module. You now understand:
To go deeper, explore libraries like GUDHI, Ripser, and giotto-tda for production-ready TDA implementations.