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math.AT2021★ 3 cited
Asymptotic Improvements on the Exact Matching Distance for 2-parameter Persistence
Håvard Bakke Bjerkevik, Michael Kerber
In the field of topological data analysis, persistence modules are used to express geometrical features of data sets. The matching distance measures the difference…
math.AT2016★ 27 cited
Stability of higher-dimensional interval decomposable persistence modules
Håvard Bakke Bjerkevik
The algebraic stability theorem for -persistence modules is a fundamental result in topological data analysis. We present a stability theorem for -dimensional rectan…