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By David Banks, Leanna House, Frederick R. McMorris, Phipps Arabie, Wolfgang Gaul

This quantity describes new equipment with unique emphasis on category and cluster research. those tools are utilized to difficulties in info retrieval, phylogeny, scientific analysis, microarrays, and different energetic study parts.

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Berlin:Springer-Verlag, pp. 263-268. cr Abstract: We use the heuristic known as ant colony optimization in the partitioning problem for improving solutions of k-means method (McQueen (1967)). Each ant in the algorithm is associated with a partition, which is modified by the principles of the heuristic; that is, by the random selection of an element, and the assignment of another element which is chosen according to a probability that depends on the pheromone trail (related to the overall criterion: the maximization of the between-classes variance), and a local criterion (the distance between objects).

1999)), for example the use of elite states for updating the pheromone value. Here Tij (t + 1) = (1 - p)Tij (t) + P 2:~=1 LlmTij (t + 1) where i, j E {l, ... (t + 1) tJ = {Q/Lk if ant rr: uses arc (i,j) in its permutation otherwIse, ° is the amount of pheromone left by ant m, Q being a constant and Lk the length of the cycle constructed by m. For the QAP, there is also a constructive algorithm very similar to the TSP one, with a local heuristic TJih = ddh, where di = 2:;=1 dij and fh = 2:~=1 fhk is the sum of activities flux.

Data Clustering: A Review," ACM Computing Surveys, 31, 264~323. Milligan, G. W. (1996). "Clustering Validation: Results and Implications for Applied Analysis," in Clustering and Classification, eds. P. , Singapore:Word Scientific, pp. 341~375. Spaeth, H. (1980). Cluster Analysis Algorithms, Wiley, New York. be Abstract: Pin;on and Rasson (2003) propose a divisive monothetic clustering method. In that work, the selection of relevant variables is performed simultaneously with the formation of clusters.

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