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• W2509586422 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." @default.
• W2509586422 created "2016-09-16" @default.
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• W2509586422 date "2016-08-15" @default.
• W2509586422 modified "2023-09-27" @default.
• W2509586422 title "Consistency constraints for overlapping data clustering" @default.
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