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A GRASP Algorithm for Clustering

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Advances in Artificial Intelligence — IBERAMIA 2002 (IBERAMIA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2527))

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Abstract

We present a new approach for Cluster Analysis based on a Greedy Randomized Adaptive Search Procedure (GRASP), with the objective of overcoming the convergence to a local solution. It uses a probabilistic greedy Kaufman initialization for getting initial solutions and K-Means algorithm as a local search algorithm. We compare it with some typical initialization methods: Random, Forgy, Macqueen and Kaufman. The new approach obtains high quality solutions for the benchmark problems.

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References

  1. M.R. Anderberg, Cluster Analysis and Applications, Academic Press, 1973.

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  2. T.A. Feo and M.G.C. Resende, Greedy Randomized Adaptive Search Procedure, Journal of Global Optimization 2 (1995) 1–27.

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  3. L. Kaufman and P.J. Rousseeuw, Finding Groups in Data. An Introduction to Cluster Analysis. Wiley, 1990.

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  4. J.M. Peña, J.A. Lozano, and P. Larrañaga, An empirical comparison of four initialization methods for the K-Means algorithm. Pattern Recognition Letters 20 (1999) 1027–1040.

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  5. S. Theodoridis and K. Koutroumbas, Pattern Recognition. Academic Press, 1999.

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© 2002 Springer-Verlag Berlin Heidelberg

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Cano, J., Cordón, O., Herrera, F., Sánchez, L. (2002). A GRASP Algorithm for Clustering. In: Garijo, F.J., Riquelme, J.C., Toro, M. (eds) Advances in Artificial Intelligence — IBERAMIA 2002. IBERAMIA 2002. Lecture Notes in Computer Science(), vol 2527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36131-6_22

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  • DOI: https://doi.org/10.1007/3-540-36131-6_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00131-7

  • Online ISBN: 978-3-540-36131-2

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