Skip to main content

Comparison of Asymmetric and Symmetric Neural Networks with Gabor Filters

  • Conference paper
  • First Online:
Engineering Applications of Neural Networks (EANN 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 893))

  • 761 Accesses

Abstract

Visual motion information is useful for many complex tasks in the biological and robotic systems. Models for motion processing in the biological systems have been studied to use conventional symmetric quadrature functions with Gabor filters. This paper proposes a model of the another bio-inspired asymmetric neural networks. The prominent features are the nonlinear characteristics as the squaring and rectification functions, which are observed in the retinal and visual cortex networks. In this paper, the asymmetric network with Gabor filters is compared with that of the conventional symmetric networks. It is shown that the biological asymmetric network with nonlinearities is effective for detecting the inputted phase information and directional movements from the network computations. The responses to the frequency characteristics and to the complex motion stimulus are computed in the asymmetric networks, which are not derived for the conventional energy model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Reichard, W.: Autocorrelation, a principle for the evaluation of sensory information by the central nervous system. In: Rosenblith (ed.) Wiley, NY (1961)

    Google Scholar 

  2. Adelson, E.H., Bergen, J.R.: Spatiotemporal energy models for the perception of motion. J. Opt. Soc. Am. A 2, 284–298 (1985)

    Article  Google Scholar 

  3. Grzywacz, N.M., Yuille, A.L.: A model for the estimate of local image velocity by cells in the visual cortex. Proc. R. Soc. Lond. B 239, 129–161 (1990)

    Article  Google Scholar 

  4. Chubb, C., Sperling, G.: Drift-balanced random stimuli, a general basis for studying non-Fourier motion. J. Opt. Soc. Am. A 5, 1986–2006 (1988)

    Article  MathSciNet  Google Scholar 

  5. Taub, E., Victor, J.D., Conte, M.: Nonlinear preprocessing in short-range motion. Vis. Res. 37, 1459–1477 (1997)

    Article  Google Scholar 

  6. Simonceli, E.P., Heeger, D.J.: A model of neuronal responses in visual area MT. Vis. Res. 38, 743–761 (1996)

    Article  Google Scholar 

  7. Heeger, D.J.: Models of Motion Perception, University of Pennsylvania, Department of Computer and Information Science, Technical report No. MS-CIS-87-91, September 1987

    Google Scholar 

  8. Heeger, D.J.: Normalization of cell responses in cat striate cortex. Vis. Neurosci. 9, 181–197 (1992)

    Article  Google Scholar 

  9. Marmarelis, P.Z., Marmarelis, V.Z.: Analysis of Physiological Systems – The White Noise Approach. Plenum Press, New York (1978)

    Book  Google Scholar 

  10. Wiener, N.: Nonlinear Problems in Random Theory. The MIT Press, Cambridge (1966)

    Google Scholar 

  11. Sakuranaga, M., Naka, K.-I.: Signal transmission in the catfish retina. III. Transmission to type-C cell. J. Neurophysiol. 53(2), 411–428 (1985)

    Article  Google Scholar 

  12. Naka, K.-I., Sakai, H.M., Ishii, N.: Generation of transformation of second order nonlinearity in catfish retina. Ann. Biomed. Eng. 16, 53–64 (1988)

    Article  Google Scholar 

  13. Lee, Y.W., Schetzen, M.: Measurements of the Wiener kernels of a nonlinear by cross-correlation. Int. J. Control 2, 237–254 (1965)

    Article  Google Scholar 

  14. Ishii, N., Deguchi, T., Kawaguchi, M.: Neural computations by asymmetric networks with nonlinearities. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds.) ICANNGA 2007. LNCS, vol. 4432, pp. 37–45. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-71629-7_5

    Chapter  Google Scholar 

  15. Ishii, N., Deguchi, T., Kawaguchi, M., Sasaki, H.: Application of asymmetric networks to movement detection and generating independent subspaces. In: Boracchi, G., Iliadis, L., Jayne, C., Likas, A. (eds.) EANN 2017. CCIS, vol. 744, pp. 267–278. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-65172-9_23

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Naohiro Ishii .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ishii, N., Deguchi, T., Kawaguchi, M., Sasaki, H. (2018). Comparison of Asymmetric and Symmetric Neural Networks with Gabor Filters. In: Pimenidis, E., Jayne, C. (eds) Engineering Applications of Neural Networks. EANN 2018. Communications in Computer and Information Science, vol 893. Springer, Cham. https://doi.org/10.1007/978-3-319-98204-5_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-98204-5_21

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-98203-8

  • Online ISBN: 978-3-319-98204-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics