Complex-Valued Multilayer Perceptron Search Utilizing Eigen Vector Descent and Reducibility Mapping

  • Shinya Suzumura
  • Ryohei Nakano
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7553)


A complex-valued multilayer perceptron (MLP) can approximate a periodic or unbounded function, which cannot be easily realized by a real-valued MLP. Its search space is full of crevasse-like forms having huge condition numbers; thus, it is very hard for existing methods to perform efficient search in such a space. The space also includes the structure of reducibility mapping. The paper proposes a new search method for a complex-valued MLP, which employs both eigen vector descent and reducibility mapping, aiming to stably find excellent solutions in such a space. Our experiments showed the proposed method worked well.


complex-valued multilayer perceptron Wirtinger calculus search method eigen vector reducibility mapping 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Shinya Suzumura
    • 1
  • Ryohei Nakano
    • 1
  1. 1.Chubu UniversityKasugaiJapan

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