Topology

A Vietoris–Rips filtration is built over each PCA projection and its persistent homology recorded: birth–death pairs, Betti curves βk(ε), persistence entropy and amplitude vectors. 32 diagrams across 14 datasets.

182 features
birthdeath10000000000.000

Hover a feature. Distance above the diagonal is its lifetime.

filtration ε (0 → 0.849) · β max 174

Homology summary

dimcountmean lifemax lifeentropy
H01740.07210.74260.843
H180.02530.06270.848
H200.00000.00000.000

Amplitudes

bottleneck 0.743 · 0.063 · 0.000
wasserstein 1.810 · 0.090 · 0.000
landscape 3.630 · 0.062 · 0.000
betti 1569.500 · 22.000 · 0.000
heat 9.852 · 0.195 · 0.000

One value per homology dimension. Source assets/processed/tda · dataset src_core_2D · 293 points in 2D · computed 2026-08-05T00:00:52.087285.