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ConceptPersistence Diagram / PDs

Persistence Diagram

The core output representation of persistent homology, expressing each topological feature as a point (birth, death) in the plane to describe the feature's lifetime. Points near the diagonal represent noisy features, while points far from the diagonal represent significant topological features.

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Oct 14

Persistent homology captures the topological features of a graph through persistence diagrams, such as connected components and loops, with each feature represented as a point (birth, death) on the plane.

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