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math.AT2022★ 1 cited
MuRiT: Efficient Computation of Pathwise Persistence Barcodes in Multi-Filtered Flag Complexes via Vietoris-Rips Transformations
Maximilian Neumann, Michael Bleher, Lukas Hahn +5
Multi-parameter persistent homology naturally arises in applications of persistent topology to data that come with extra information depending on additional parameters, like for ex…
math.AT2022
Dimension Reduction of Two-Dimensional Persistence via Distance Deformations
Maximilian Neumann
This article grew out of the application part of my Master's thesis at the Faculty of Mathematics and Information Science at Ruprecht-Karls-Universität Heidelberg under the supervi…
math.AT2021
Multidimensional Persistence: Invariants and Parameterization
Maximilian Neumann
This article grew out of the theoretical part of my Master's thesis at the Faculty of Mathematics and Information Science at Ruprecht-Karls-Universität Heidelberg under the supervi…