Search Results for author: Alexander Rolle

Found 3 papers, 2 papers with code

Multi-parameter hierarchical clustering and beyond

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.

Clustering

Stable and consistent density-based clustering via multiparameter persistence

1 code implementation18 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.

Clustering Topological Data Analysis

Visualization tools for parameter selection in cluster analysis

1 code implementation4 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.

Clustering

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