214 citations · 626 across the 16 of their papers we have counts for
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math.AT2016★ 20 cited
Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem
Ulrich Bauer, Michael Lesnick
Persistent homology, a central tool of topological data analysis, provides invariants of data called barcodes (also known as persistence diagrams). A barcode is simply a multiset o…
math.AT2016★ 72 cited
Algebraic Stability of Zigzag Persistence Modules
Magnus Bakke Botnan, Michael Lesnick
The stability theorem for persistent homology is a central result in topological data analysis. While the original formulation of the result concerns the persistence barcodes of $\…