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math.AT2022★ 9 cited
On the bottleneck stability of rank decompositions of multi-parameter persistence modules
Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot +1
A significant part of modern topological data analysis is concerned with the design and study of algebraic invariants of poset representations -- often referred to as multi-paramet…
math.AT2022★ 7 cited
An Introduction to Multiparameter Persistence
Magnus Bakke Botnan, Michael Lesnick
In topological data analysis (TDA), one often studies the shape of data by constructing a filtered topological space, whose structure is then examined using persistent homology. Ho…