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arXiv · 1910.07247

A Notion of Harmonic Clustering in Simplicial Complexes

Stefania Ebli·Gard Spreemann
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Abstract

We outline a novel clustering scheme for simplicial complexes that produces clusters of simplices in a way that is sensitive to the homology of the complex. The method is inspired by, and can be seen as a higher-dimensional version of, graph spectral clustering. The algorithm involves only sparse eigenproblems, and is therefore computationally efficient. We believe that it has broad application as a way to extract features from simplicial complexes that often arise in topological data analysis.

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Stefania Ebli, Gard Spreemann. 2019-10-16. A Notion of Harmonic Clustering in Simplicial Complexes. https://doi.org/10.1109/icmla.2019.00182

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