A fully complex-valued radial basis function classifier for real-valued classification problems

R. Savitha, S. Suresh, N. Sundararajan, H. J. Kim

    Research output: Contribution to journalArticlepeer-review

    60 Citations (Scopus)

    Abstract

    In this paper, we investigate the decision making ability of a fully complex-valued radial basis function (FC-RBF) network in solving real-valued classification problems. The FC-RBF classifier is a single hidden layer fully complex-valued neural network with a nonlinear input layer, a nonlinear hidden layer, and a linear output layer. The neurons in the input layer of the classifier employ the phase encoded transformation to map the input features from the Real domain to the Complex domain. The neurons in the hidden layer employ a fully complex-valued Gaussian-like activation function of the type of hyperbolic secant (sech). The classification ability of the classifier is first studied analytically and it is shown that the decision boundaries of the FC-RBF classifier are orthogonal to each other. Then, the performance of the FC-RBF classifier is studied experimentally using a set of real-valued benchmark problems and also a real-world problem. The study clearly indicates the superior classification ability of the FC-RBF classifier.

    Original languageEnglish
    Pages (from-to)104-110
    Number of pages7
    JournalNeurocomputing
    Volume78
    Issue number1
    DOIs
    Publication statusPublished - 2012 Feb 15

    Keywords

    • Acoustic emission signal classification
    • Classification
    • Complex-valued classifiers
    • Fully complex-valued radial basis function
    • Orthogonal decision boundaries

    ASJC Scopus subject areas

    • Computer Science Applications
    • Cognitive Neuroscience
    • Artificial Intelligence

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