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math.AT2023★ 1 cited
The fiber of persistent homology for trees
David Beers, Jacob Leygonie
Consider the space of continuous functions on a geometric tree whose persistent homology gives rise to a finite generic barcode . We show that there are exactly as many path…
math.ST2023★ 1 cited
Stability and Inference of the Euler Characteristic Transform
Lewis Marsh, David Beers
The Euler characteristic transform (ECT) is a signature from topological data analysis (TDA) which summarises shapes embedded in Euclidean space. Compared with other TDA methods, t…