Optimal implementations of UPGMA and other common clustering algorithms
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TL;DR
This work surveys optimal O(n2)-time implementations of such algorithms which use a 'locally closest' joining scheme, and specifies conditions under which this relaxed joining scheme is equivalent to the original one (i.e. 'globally closest').
Abstract
In this work we consider hierarchical clustering algorithms, such as UPGMA, which follow the closest-pair joining scheme. We survey optimal O(n2)-time implementations of such algorithms which use a 'locally closest' joining scheme, and specify conditions under which this relaxed joining scheme is equivalent to the original one (i.e. 'globally closest').
