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  2. Single-linkage clustering - Wikipedia

    en.wikipedia.org/wiki/Single-linkage_clustering

    However, in single linkage clustering, the order in which clusters are formed is important, while for minimum spanning trees what matters is the set of pairs of points that form distances chosen by the algorithm. Alternative linkage schemes include complete linkage clustering, average linkage clustering (UPGMA and WPGMA), and Ward's method. In ...

  3. Dendrogram - Wikipedia

    en.wikipedia.org/wiki/Dendrogram

    A dendrogram of the Tree of Life. This phylogenetic tree is adapted from Woese et al. rRNA analysis. [3] The vertical line at bottom represents the last universal common ancestor (LUCA). Heatmap of RNA-Seq data showing two dendrograms in the left and top margins. A dendrogram is a diagram representing a tree. This diagrammatic representation is ...

  4. WPGMA - Wikipedia

    en.wikipedia.org/wiki/WPGMA

    WPGMA (Weighted Pair Group Method with Arithmetic Mean) is a simple agglomerative (bottom-up) hierarchical clustering method, generally attributed to Sokal and Michener. [ 1 ] The WPGMA method is similar to its unweighted variant, the UPGMA method.

  5. UPGMA - Wikipedia

    en.wikipedia.org/wiki/UPGMA

    UPGMA (unweighted pair group method with arithmetic mean) is a simple agglomerative (bottom-up) hierarchical clustering method. It also has a weighted variant, WPGMA, and they are generally attributed to Sokal and Michener.

  6. Hierarchical clustering of networks - Wikipedia

    en.wikipedia.org/wiki/Hierarchical_clustering_of...

    The components at each iterative step are always a subset of other structures. Hence, the subsets can be represented using a tree diagram, or dendrogram. Horizontal slices of the tree at a given level indicate the communities that exist above and below a value of the weight.

  7. Nearest-neighbor chain algorithm - Wikipedia

    en.wikipedia.org/wiki/Nearest-neighbor_chain...

    (Single-linkage also obeys a Lance–Williams formula, [9] [11] but with a negative coefficient from which it is more difficult to prove reducibility.) As with complete linkage and average distance, the difficulty of calculating cluster distances causes the nearest-neighbor chain algorithm to take time and space O ( n 2 ) to compute the single ...

  8. Complete-linkage clustering - Wikipedia

    en.wikipedia.org/wiki/Complete-linkage_clustering

    Complete linkage clustering avoids a drawback of the alternative single linkage method - the so-called chaining phenomenon, where clusters formed via single linkage clustering may be forced together due to single elements being close to each other, even though many of the elements in each cluster may be very distant to each other. Complete ...

  9. Hierarchical clustering - Wikipedia

    en.wikipedia.org/wiki/Hierarchical_clustering

    The standard algorithm for hierarchical agglomerative clustering (HAC) has a time complexity of () and requires () memory, which makes it too slow for even medium data sets. . However, for some special cases, optimal efficient agglomerative methods (of complexity ()) are known: SLINK [2] for single-linkage and CLINK [3] for complete-linkage clusteri