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math.AT2026
Central Limit Theorems for Persistent Betti Numbers
Shunsuke Tada
Various persistent invariants have been developed in recent years. In this paper, we develop a method based on homological algebra for deriving central limit theorems for persisten…
math.AT2025
Stability of Bipath Persistence Diagrams
Shunsuke Tada
Recently, bipath persistent homology has been proposed as an extension of standard persistent homology, along with its visualization (bipath persistence diagram) and computational…
math.AT2024
Bipath Persistence
Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada
In persistent homology analysis, interval modules play a central role in describing the birth and death of topological features across a filtration. In this work, we extend this se…