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How is the number of classes obtained in Hierarchical Ascending Classification (HAC) based on Ward’s Criteria ?

Support vector machine

Cluster analysis

Hierarchical clustering

Multiclass classification

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The number of classes in Hierarchical Ascending Classification (HAC) based on Ward's Criteria is obtained through various methods. One approach is to decompose the multiclass problem into several binary problems and then combine the results obtained from smaller problems as a tree-based structure to obtain the final solution . Another method involves using the ML-KNN algorithm to predict hierarchical multi-label problems and determine the number of classes that can be assigned to an example . Additionally, the estimation of the number of clusters (k) in hierarchical clustering algorithms, such as Ward's algorithm, can be done using bootstrap and statistical stopping rules . It is important to note that there are different interpretations and implementations of the Ward agglomerative algorithm, which may affect the determination of the number of classes .

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Open access•Journal Article•DOI Ward's Hierarchical Clustering Method: Clustering Criterion and Agglomerative Algorithm Fionn Murtagh, Pierre Legendre - Show less +1 more 27 Nov 2011-arXiv: Machine Learning 1.2K Citations	The number of classes in Hierarchical Ascending Classification (HAC) based on Ward's Criteria is obtained by minimizing the change in variance or the error sum of squares.
Journal Article•DOI Multiclass Classification Based on Multi-criteria Decision-making Hossein Baloochian, Hamid Reza Ghaffary - Show less +1 more 01 Apr 2019-Journal of Classification 3 Citations	The number of classes in Hierarchical Ascending Classification (HAC) based on Ward's Criteria is obtained by minimizing the within-cluster variance.
Open access•Journal Article•DOI Ward's Hierarchical Agglomerative Clustering Method: Which Algorithms Implement Ward's Criterion? Fionn Murtagh, Pierre Legendre - Show less +1 more 01 Oct 2014-Journal of Classification 2.3K Citations	The number of classes in Hierarchical Ascending Classification (HAC) based on Ward's Criteria is obtained by minimizing the change in variance or the error sum of squares.

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