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Edge Enhancement and Exploratory Projection Pursuit

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Neural Computation and Psychology

Part of the book series: Workshops in Computing ((WORKSHOPS COMP.))

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Abstract

We present a neural network algorithm based on simple Hebbian learning which allows the finding of higher order structure in data. The neural network uses negative feedback of activation to self-organise; such networks have previously been shown to be capable of performing Principal Component Analysis (PCA). In this paper, this is extended to Exploratory Projection Pursuit (EPP) which is a statistical method for investigating structure in high-dimensional data sets.

Recently, it has been proposed [3, 5] that one way of choosing an appropriate filter for processing a particular domain is to find the filter with the highest output kurtosis. We pursue this avenue further by using the developed neural network to find the filter with the highest output kurtosis when applied to a collection of natural images. The method does not appear to work but interesting lessons can be derived from our failure.

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References

  1. J.J. Atick and A. N. Redlich. Towards a theory of early visual processing. Neural Computation, 4:196–210, 1990.

    Article  Google Scholar 

  2. R. J. Baddeley and P. J. Hancock. A statistical analysis of natural images matches psychophysically derived orientation tuning curves. Proceedings of the Royal Society, London B, 246:219–223, 1991.

    Article  Google Scholar 

  3. H. Barlow and D. Tolhurst. Why do you have edge detectors. JOSA Meeting, Albuquerque, 1992.

    Google Scholar 

  4. Persi Diaconis and David Freedman. Asymptotics of graphical projections. The Annals of Statistics, 12(3):793–815, 1984.

    Article  MathSciNet  MATH  Google Scholar 

  5. David J. Field. What is the goal of sensory coding. Neural Computation, 6:559–601, 1994.

    Article  Google Scholar 

  6. Jerome H Friedman. Exploratory projection pursuit. Journal of the American Statistical Association, 82(397):249–266, March 1987.

    Article  MathSciNet  MATH  Google Scholar 

  7. C. Fyfe. Interneurons which identify principal components. In Recent Advances in Neural Networks, BNNS93, 1993.

    Google Scholar 

  8. C. Fyfe. Pca properties of interneurons. In From Neurobiology to Real World Computing, ICANN93, 1993.

    Google Scholar 

  9. Peter J Huber. Projection pursuit. Annals of Statistics, 13:435–475, 1985.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. C. Jones and Robin Sibson. What is projection pursuit. The Royal Statistical Society, 1987.

    Google Scholar 

  11. Juha Karhunen and Jyrki Joutsensalo. Representation and separation of signals using nonlinear pca type learning. Neural Networks, 7(1): 113–127, 1994.

    Article  Google Scholar 

  12. R. Linsker. From basic network principles to neural architecture. In Proceedings of National Academy of Sciences, 1986.

    Google Scholar 

  13. K. V. Mardia, J.T. Kent, and J.M. Bibby. Multivariate Analysis. Academic Press, 1979.

    MATH  Google Scholar 

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© 1995 Springer-Verlag London

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Fyfe, C., Baddeley, R. (1995). Edge Enhancement and Exploratory Projection Pursuit. In: Smith, L.S., Hancock, P.J.B. (eds) Neural Computation and Psychology. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3579-1_8

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  • DOI: https://doi.org/10.1007/978-1-4471-3579-1_8

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19948-9

  • Online ISBN: 978-1-4471-3579-1

  • eBook Packages: Springer Book Archive

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