PERSISTENCE DIAGRAMS

Each point represents a topological feature — a connected component (H0, ●) or loop (H1, ▲) in the discourse embedding.

Birth is when the feature appears. Death is when it merges or fills.

Points far from the diagonal have high persistence — they are stable topological features, not noise.

The barcode below shows the same data as horizontal bars. Drag the vertical line to filter by filtration parameter.