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We propose a fast agglomerative clustering method using an approximate nearest neighbor graph for reducing the number of distance calculations. The time complexity of the algorithm is improved from {\rm O}(\tau N^2) to {\rm O}(\tau N \log N) at the cost of a slight increase in distortion; here, \tau denotes the number of nearest neighbor updates required at each iteration. According to the experiments, a relatively small neighborhood size is sufficient to maintain the quality close to that of the full search.
Clustering, agglomeration, nearest neighbor, vector quantization, PNN.
Olli Virmajoki, Ville Hautam?ki, Pasi Fr?nti, "Fast Agglomerative Clustering Using a k-Nearest Neighbor Graph", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 28, no. , pp. 1875-1881, November 2006, doi:10.1109/TPAMI.2006.227
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