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arXiv · 1608.04331

Consistency constraints for overlapping data clustering

Jared Culbertson·Dan P. Guralnik·Jakob Hansen·Peter F. Stiller
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Abstract

We examine overlapping clustering schemes with functorial constraints, in the spirit of Carlsson--Memoli. This avoids issues arising from the chaining required by partition-based methods. Our principal result shows that any clustering functor is naturally constrained to refine single-linkage clusters and be refined by maximal-linkage clusters. We work in the context of metric spaces with non-expansive maps, which is appropriate for modeling data processing which does not increase information content.

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Jared Culbertson, Dan P. Guralnik, Jakob Hansen, Peter F. Stiller. 2016-08-15. Consistency constraints for overlapping data clustering. https://arxiv.org/abs/1608.04331

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