Hierarchical clustering: Difference between revisions

Revision as of 01:50, 28 April 2024

Revision as of 02:45, 28 April 2024

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|Minimum Variance (MNVAR)<ref name=":0" />

|<math>\frac{1}{|A\cup B|}\sum_{x\in A\cup B} \lVert x - \mu_{A\cup B} \rVert^2 = \text{Var}(A\cup B)</math>

|-

|Mini-max linkage<ref>{{Cite journal |last1=Ao |first1=S. I. |last2=Yip |first2=K. |last3=Ng |first3=M. |last4=Cheung |first4=D. |last5=Fong |first5=P.-Y. |last6=Melhado |first6=I. |last7=Sham |first7=P. C. |date=2004-12-07 |title=CLUSTAG: hierarchical clustering and graph methods for selecting tag SNPs |url=https://doi.org/10.1093/bioinformatics/bti201 |journal=Bioinformatics |volume=21 |issue=8 |pages=1735–1736 |doi=10.1093/bioinformatics/bti201 |issn=1367-4803}}</ref><ref>{{Cite journal |last1=Bien |first1=Jacob |last2=Tibshirani |first2=Robert |date=September 2011 |title=Hierarchical Clustering With Prototypes via Minimax Linkage |journal=Journal of the American Statistical Association |language=en |volume=106 |issue=495 |pages=1075–1084 |doi=10.1198/jasa.2011.tm10183 |issn=0162-1459 |pmc=4527350 |pmid=26257451}}</ref>

|<math>\min_{x\in A\cup B} \max_{y\in A\cup B} d(x,y)</math>

|-

|Hausdorff linkage<ref>{{Cite journal |last1=Basalto |first1=Nicolas |last2=Bellotti |first2=Roberto |last3=De Carlo |first3=Francesco |last4=Facchi |first4=Paolo |last5=Pantaleo |first5=Ester |last6=Pascazio |first6=Saverio |date=2007-06-15 |title=Hausdorff clustering of financial time series |url=https://www.sciencedirect.com/science/article/pii/S0378437107001124 |journal=Physica A: Statistical Mechanics and Its Applications |language=en |volume=379 |issue=2 |pages=635–644 |doi=10.1016/j.physa.2007.01.011 |arxiv=physics/0504014 |bibcode=2007PhyA..379..635B |s2cid=27093582 |issn=0378-4371}}</ref>