194 citations · 637 across the 38 of their papers we have counts for
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math.AT2022★ 9 cited
Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems
Paweł Dłotko, Davide Gurnari
Tools of Topological Data Analysis provide stable summaries encapsulating the shape of the considered data. Persistent homology, the most standard and well studied data summary, su…
stat.ME2022★ 6 cited
Topology-Driven Goodness-of-Fit Tests in Arbitrary Dimensions
Paweł Dłotko, Niklas Hellmer, Łukasz Stettner +1
This paper adopts a tool from computational topology, the Euler characteristic curve (ECC) of a sample, to perform one- and two-sample goodness of fit tests. We call our procedure…
q-fin.GN2022★ 7 cited
Topological Data Analysis Ball Mapper for Finance
Pawel Dlotko, Wanling Qiu, Simon Rudkin
Finance is heavily influenced by data-driven decision-making. Meanwhile, our ability to comprehend the full informational content of data sets remains impeded by the tools we apply…