Keywords: Multi-parameter persistence, clustering
TL;DR: We survey recent progress on multi-parameter hierarchical clustering, and discuss further directions
Abstract: 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. These lines of research show that tools originally developed in the setting of multi-parameter persistent homology can be applied more broadly, without linearizing via homology.
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