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One of the [Clustering] methods. AverageLinkage method One of the [[Clustering]] methods. AverageLinkage method

UnweightedPairGroupMethodUsingArithmeticAverages

One of the Clustering methods. AverageLinkage method

http://www.icp.ucl.ac.be/~opperd/private/upgma.html http://www.nmsr.org/upgma.htm

It works by [Clustering] the nodes, at each stage amalgamating two clusters and at the same time creating a new node on a tree.


두 cluster사이의 거리는 다음의 공식에 의해서 계산된다.

$$ d_{ij} = \frac{1}{|C_{i}||C_{j}|} \sum_{p \ in \ C_{i}, q \ in \ C_{j}} d_{pq} $$

여기서의 |Ci|는 클러스터내 노드의 갯수를 의미한다. Ck가 Ci와 Cj의 합집합관계에 있을때 Cl과의 거리는 다음처럼 쉽게 계산될 수 있다.

$$ d_{kl} = \frac{d_{il}|C_{i}| + d_{jl}|C_{j}|}{|C_{i}| + |C_{j}|} $$

소스코드참고. [Cluster.py]

UPGMA (last edited 2012-09-03 13:06:23 by 182)

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