Abstract
This paper studies collaboration of the ART and PSO in application to a multi-solution problem for analysis of the H\(\acute{\mbox{e}}\)non map. In our algorithm, the PSO gives candidates of solutions which have no labels. Applying the candidates as inputs, the ART classifies the candidates, labels the categories, and clarify the number of solutions. Performing fundamental numerical experiments, the algorithm efficiency is investigated.
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References
Carpenter, G.A., Grossberg, S., Rosen, D.B.: Fuzzy ART: Fast Stable Learning and Categorization of Analog Patterns by an Adaptive Resonance System. Neural Networks 4, 759–771 (1991)
Anagnostopoulos, G.C., Georgiopoulos, M.: Ellipsoid ART and ARTMAP for Incremental Clustering and Classification. IEEE Trans. Neural Networks, 1221–1226 (2001)
Parsons, O., Carpenter, G.A.: ARTMAP Neural Networks for Information Fusion and Data Mining: Map Production and Target Recognition Methodologies. Neural Networks 16, 1075–1089 (2003)
Takanashi, M., Torikai, H., Saito, T.: An Approach to Collaboration of Growing Self-Organizing Maps and Adaptive Resonance Theory Maps. IEICE Trans. Fundamentals E90-A(9), 2047–2050 (2007)
Engelbrecht, A.P.: Fundamentals of Computational Swarm Intelligence. Willey (2005)
Parsopoulos, K.E., Vrahatis, M.N.: On the Computation of All Global Minimizers Through Particle Swarm Optimization. IEEE Trans. Evol. Comput. 8(3), 211–224 (2004)
Hsieh, S.-T., Sun, T.-Y., Lin, C.-L., Liu, C.-C.: Effective Learning Rate Adjustment of Blind Source Separation Based on an Improved Particle Swarm Optimizer. IEEE Trans. Evol. Comput. 12(2), 242–251 (2008)
Vural, R.A., Yildirim, T., Kadioglu, T., Basargan, A.: Performance Evaluation of Evolutionary Algorithms for Optimal Filter Design. IEEE Trans. Evol. Comput. 16(1), 135–147 (2012)
Matsushita, H., Saito, T.: Application of Particle Swarm Optimization to Parameter Search in Dynamical Systems. NOLTA, IEICE E94-N(10), 458–471 (2011)
Ott, E.: Chaos in Dynamical Systems. Cambridge Univ. Press, (1993)
Maruyama K., Saito, T.: Deterministic Particle Swarm Optimizers with Collision for Discrete Multi-Solution Problems. In: Proc. IEEE/SMC, pp.1335–1340 (2013)
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Tokunaga, F., Sato, T., Saito, T. (2014). Collaboration of the Radial Basis ART and PSO in Multi-Solution Problems of the Hénon Map. In: Loo, C.K., Yap, K.S., Wong, K.W., Teoh, A., Huang, K. (eds) Neural Information Processing. ICONIP 2014. Lecture Notes in Computer Science, vol 8835. Springer, Cham. https://doi.org/10.1007/978-3-319-12640-1_27
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DOI: https://doi.org/10.1007/978-3-319-12640-1_27
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12639-5
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