By Fionn Murtagh (auth.), Dr. David Banks, Dr. Frederick R. McMorris, Dr. Phipps Arabie, Prof. Dr. Wolfgang Gaul (eds.)

Modern information research stands on the interface of information, computing device technology, and discrete arithmetic. This quantity describes new tools during this quarter, with particular emphasis on type and cluster research. these tools are utilized to difficulties in info retrieval, phylogeny, scientific analysis, microarrays, and different energetic learn areas.

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Extra resources for Classification, Clustering, and Data Mining Applications: Proceedings of the Meeting of the International Federation of Classification Societies (IFCS), Illinois Institute of Technology, Chicago, 15–18 July 2004

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However, some experimentation has yet to be done for deciding some features of the method. For example, we have to decide whether to use elite agents, to "kill" the ants before restarting a new iteration or not, and the use of another rule for selecting j from i. A complete Monte Carlo comparison is being performed at the present time, controlling four factors: the data table size, the number of clusters, the cardinality and the variance of each class. The results should compare ant colony optimization, simulated annealing, tabu search, genetic algorithms, particle swarm optimization, k-means and Ward's hierarchical clustering.

08 (a) Ruspini's data (b) Triangle data (c) Sourire data ... :... ..... 8···19··· • o-\~1 :.. : .. 1·:: :- . I ~ .. , ::! ; (e) Triangle data (f) Sourire data Fig. 2. Results with elbow pruning and gluing ((a),(b),(c)) and with gap test pruning and gluing ((d),(e),(f)). 50 Jean-Yves Pin;on and Jean-Paul Rasson 5 Conclusion The last step of a proposed new method is described in this article. With the gluing-back criterion, we partially resolve the disadvantages of the method. Since our method is monothetic, the cuts are necessarily perpendicular to axes.

2---1& • ••• • . :-. ... '1.. • • t • i • * .! ~ ~ " ~ 4 ~ " ~17 Fig. 1. Ruspini's data: An example in which gluing-back is needed. 48 Jean-Yves Pin;on and Jean-Paul Rasson As there are two different pruning methods, we have two associated gluing back criteria. 1 The Elbow Gluing-Back Criterion This criterion is easy. We first compute the intraclass inertia for k classes where k decreases from the number of groups after pruning to 1. For each k, we choose the best gluing to have the maximum intraclass inertia after joining two groups.

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