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개미 군락 시스템을 이용한 계층적 클러스터 분석

Ant Colony Hierarchical Cluster Analysis

  • 투고 : 2014.04.21
  • 심사 : 2014.09.15
  • 발행 : 2014.10.31

초록

본 논문에서는 방향그래프에서 개미가 한 노드에서 다른 노드들로 이동하는 새로운 개미 기반계층적 클러스터링 알고리즘을 제안한다. 노드페로몬은 로컬영역에서 상대 밀도값으로 간주될 수 있는 값으로 노드로 들어오는 에지들의 페로몬 양을 합한 것이다. 일정한 횟수만큼 개미들을 이동시킨 후 방향 그래프로부터 소량의 노드페로몬 값을 가진 노드들을 제거하고, 강하게 연결되어 있는 요소들을 하나의 클러스터로 구성한다. 반복적으로 낮은 값부터 높은 값까지 제거작업을 하여 계층적 클러스터들을 구축한다. 다양한 실험을 통해 제안하는 알고리즘과 기존 클러스터링 알고리즘을 비교하고 제안하는 알고리즘의 우수성을 실험을 통해 입증한다.

In this paper, we present a novel ant-based hierarchical clustering algorithm, where ants repeatedly hop from one node to another over a weighted directed graph of k-nearest neighborhood obtained from a given dataset. We introduce a notion of node pheromone, which is the summation of amount of pheromone on incoming arcs to a node. The node pheromone can be regarded as a relative density measure in a local region. After a finite number of ants' hopping, we remove nodes with a small amount of node pheromone from the directed graph, and obtain a group of strongly connected components as clusters. We iteratively do this removing process from a low value of threshold to a high value, yielding a hierarchy of clusters. We demonstrate the performance of the proposed algorithm with synthetic and real data sets, comparing with traditional clustering methods. Experimental results show the superiority of the proposed method to the traditional methods.

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참고문헌

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