Abstract
Algorithms which are operationnally efficient and which give a good partition of a finite set, produce solutions that are not necessarily optimum. The main aim of this paper is a synthetical study of properties of optimality in spaces formed by partitions of a finite set. We formalize and take for a model of that study a family of particularily efficient techniques of "clusters centers" type. The proposed algorithm operates on groups of points or "kernels"; these kernels adapt and evolve into interesting clusters.
After having developed the notion of "strong" and "weak" patterns, and the computer aspects, we illustrate the different results by an artificial example.
Institut de Recherche d'Informatique et d'Automatique.
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Diday, E. (1973). The dynamic clusters method and optimization in non hierarchical-clustering. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part I. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06583-0_24
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DOI: https://doi.org/10.1007/3-540-06583-0_24
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