The sublevel Flood bifiltration: towards scalable 2-parameter persistent homology
Multiparameter persistent homology is a rapidly developing branch of topological data analysis that improves the robustness of single-parameter persistent homology to outliers, while still capturing the metric characteristics of the data. However, a notable limitation is its lack of scalability. In this paper, we introduce a novel approach for efficiently computing 2-parameter persistent homology on large point sets. Our work extends the Flood filtration, originally developed for single-parameter persistence. Our construction, called the sublevel Flood bifiltration, offers a scalable approximation of the sublevel offset bifiltration. We show that it benefits from theoretical stability pro...
| Authors | Mattéo Clémot, Julie Digne, Julien Tierny |
|---|---|
| Primary category | math.AT |
| Published | 4 October 2026 |
| Last updated at source | 7 October 2026 |
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