Neural Computations by Asymmetric Networks with Nonlinearities

  • Naohiro Ishii
  • Toshinori Deguchi
  • Masashi Kawaguchi
Conference paper

DOI: 10.1007/978-3-540-71629-7_5

Part of the Lecture Notes in Computer Science book series (LNCS, volume 4432)
Cite this paper as:
Ishii N., Deguchi T., Kawaguchi M. (2007) Neural Computations by Asymmetric Networks with Nonlinearities. In: Beliczynski B., Dzielinski A., Iwanowski M., Ribeiro B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4432. Springer, Berlin, Heidelberg


Nonlinearity is an important factor in the biological visual neural networks. Among prominent features of the visual networks, movement detections are carried out in the visual cortex. The visual cortex for the movement detection, consist of two layered networks, called the primary visual cortex (V1),followed by the middle temporal area (MT), in which nonlinear functions will play important roles in the visual systems. These networks will be decomposed to asymmetric sub-networks with nonlinearities. In this paper, the fundamental characteristics in asymmetric neural networks with nonlinearities, are discussed for the detection of the changing stimulus or the movement detection in these neural networks. By the optimization of the asymmetric networks, movement detection equations are derived. Then, it was clarified that the even-odd nonlinearity combined asymmetric networks, has the ability in the stimulus change detection and the direction of movement or stimulus, while symmetric networks need the time memory to have the same ability. These facts are applied to two layered networks, V1 and MT.


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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Naohiro Ishii
    • 1
  • Toshinori Deguchi
    • 2
  • Masashi Kawaguchi
    • 3
  1. 1.Aichi Institute of Technology, Yakusacho, Toyota 470–0392Japan
  2. 2.Gifu National College of Technology, Motosu, Gifu 501-0495Japan
  3. 3.Suzuka National College of Technology, Suzuka, Mie 510-0294Japan

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