Hierarchical clustering: Difference between revisions

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* The probability that candidate clusters spawn from the same distribution function (V-linkage).
* The product of in-degree and out-degree on a k-nearest-neighbour graph (graph degree linkage).<ref>{{Cite journalbook|last1=Zhang|first1=Wei|last2=Wang|first2=Xiaogang|last3=Zhao|first3=Deli|last4=Tang|first4=Xiaoou|title=Computer Vision – ECCV 2012 |chapter=Graph Degree Linkage: Agglomerative Clustering on a Directed Graph |date=2012|editor-last=Fitzgibbon|editor-first=Andrew|editor2-last=Lazebnik|editor2-first=Svetlana|editor2-link= Svetlana Lazebnik |editor3-last=Perona|editor3-first=Pietro|editor4-last=Sato|editor4-first=Yoichi|editor5-last=Schmid|editor5-first=Cordelia|title=Graph Degree Linkage: Agglomerative Clustering on a Directed Graph|journal=Computer Vision – ECCV 2012|series=Lecture Notes in Computer Science|language=en|publisher=Springer Berlin Heidelberg|volume=7572|pages=428–441|doi=10.1007/978-3-642-33718-5_31|isbn=9783642337185|arxiv=1208.5092|bibcode=2012arXiv1208.5092Z|s2cid=14751}} See also: https://github.com/waynezhanghk/gacluster</ref>
* The increment of some cluster descriptor (i.e., a quantity defined for measuring the quality of a cluster) after merging two clusters.<ref>{{cite journal |first1=W. |last1=Zhang |first2=D. |last2=Zhao |first3=X. |last3=Wang |title=Agglomerative clustering via maximum incremental path integral |journal=Pattern Recognition |volume=46 |issue=11 |pages=3056–65 |date=2013 |doi=10.1016/j.patcog.2013.04.013 |citeseerx=10.1.1.719.5355 |bibcode=2013PatRe..46.3056Z}}</ref><ref>{{cite book |last1=Zhao |first1=D. |last2=Tang |first2=X. |chapter=Cyclizing clusters via zeta function of a graph |chapter-url= |title=NIPS'08: Proceedings of the 21st International Conference on Neural Information Processing Systems |date=2008 |isbn=9781605609492 |pages=1953–60 |publisher=Curran |citeseerx=10.1.1.945.1649}}</ref><ref>{{cite journal |first1=Y. |last1=Ma |first2=H. |last2=Derksen |first3=W. |last3=Hong |first4=J. |last4=Wright |title=Segmentation of Multivariate Mixed Data via Lossy Data Coding and Compression |journal=IEEE Transactions on Pattern Analysis and Machine Intelligence |volume=29 |issue=9 |pages=1546–62 |date=2007 |doi=10.1109/TPAMI.2007.1085 |pmid=17627043 |hdl=2142/99597 |s2cid=4591894 |hdl-access=free }}</ref>
 
== Agglomerative clustering example ==