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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…
math.AT2021★ 2 cited
Mapper-type algorithms for complex data and relations
Paweł Dłotko, Davide Gurnari, Radmila Sazdanovic
Mapper and Ball Mapper are Topological Data Analysis tools used for exploring high dimensional point clouds and visualizing scalar-valued functions on those point clouds. Inspired…