The Computational Power of Complex-Valued Neuron

  • Tohru Nitta
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2714)


There exist some problems that cannot be solved with conventional usual 2-layered real-valued neural networks (i.e., a single realvalued neuron) such as the XOR problem and the detection of symmetry. In this paper, it will be proved that such problems can be solved by a 2-layered complex-valued neural network (i.e., a single complex-valued neuron) with the orthogonal decision boundaries. Furthermore, it will be shown that the fading equalization problem can be successfully solved by the 2-layered complex-valued neural network with the highest generalization ability.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Tohru Nitta
    • 1
  1. 1.National Institute of Advanced Industrial Science and Technology (AIST)IbarakiJapan

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