This paper presents a Pareto-optimal selection strategy for multiobjective learning that is based on the geometry of the separation margin between classes. The Gabriel Graph, a method borrowed from Computational Geometry, is constructed in order to obtain margin patterns and class borders. From border edges, a target separator is obtained in order to obtain a large margin classifier. The selected model from the generated Pareto-set is the one that is closer to the target separator. The method presents robustness in both synthetic and real benchmark datasets. It is efficient for Pareto-Optimal selection of neural networks and no claim is made that the obtained solution is equivalent to a maximum margin separator. © 2012 Springer-Verlag.
CITATION STYLE
Torres, L. C. B., Castro, C. L., & Braga, A. P. (2012). A computational geometry approach for pareto-optimal selection of neural networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7553 LNCS, pp. 100–107). https://doi.org/10.1007/978-3-642-33266-1_13
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