no code implementations • NeurIPS Workshop TDA_and_Beyond 2020 • Alexander Rolle
We survey recent progress on multi-parameter hierarchical clustering, which has developed in several directions since it was introduced by Carlsson--M\'{e}moli in 2010.
1 code implementation • 18 May 2020 • Alexander Rolle, Luis Scoccola
However, we prove that degree-Rips, as a multiparameter object, is stable, and we propose an alternative approach for taking slices of degree-Rips, which yields a one-parameter hierarchical clustering algorithm with better stability properties.
1 code implementation • 4 Feb 2019 • Alexander Rolle, Luis Scoccola
We propose an algorithm, HPREF (Hierarchical Partitioning by Repeated Features), that produces a hierarchical partition of a set of clusterings of a fixed dataset, such as sets of clusterings produced by running a clustering algorithm with a range of parameters.