Ordinal classification using hybrid artificial neural networks with projection and kernel basis functions

Authors:
M. Dorado-Moreno;P. A. Gutiérrez;C. Hervás-Martínez
Affiliations:
Department of Computer Science and Numerical Analysis, University of Córdoba, Córdoba, Spain;Department of Computer Science and Numerical Analysis, University of Córdoba, Córdoba, Spain;Department of Computer Science and Numerical Analysis, University of Córdoba, Córdoba, Spain
Venue:
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part II
Year:
2012

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Abstract

Many real life problems require the classification of items into naturally ordered classes. These problems are traditionally handled by conventional methods intended for the classification of nominal classes, where the order relation is ignored. This paper proposes a hybrid neural network model applied to ordinal classification using a possible combination of projection functions (product unit, PU) and kernel functions (radial basis function, RBF) in the hidden layer of a feed-forward neural network. A combination of an evolutionary and a gradient-descent algorithms is adapted to this model and applied to obtain an optimal architecture, weights and node typology of the model. This combined basis function model is compared to the corresponding pure models: PU neural network, and the RBF neural network. Combined functions using projection and kernel functions are found to be better than pure basis functions for the task of ordinal classification in several datasets.