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Nonnegative Source Separation with Expansive Nonlinearity: Comparison with the Primary Visual Cortex

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8227))

Abstract

We introduced the kernel trick to a linear generative model. In the present study, we trained a single layer model with nonnegativity constraint and expansive nonlinearity. After training, we found that the basis images acquired from natural scenes represented Gabor-like features. Moreover, the distributions of shape parameters of the basis images were similar to those found in V1. Other similar models, such as the sparse coding and the independent component analysis, fail to exhibit these properties.

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References

  1. van Hateren, J.H., Ruderman, D.L.: Independent component analysis of natural image sequences yields spatiotemporal filters similar to simple cells in primary visual cortex. Proceeding of the Royal Society B: Biological Sciences 265(1412), 2315–2320 (1998)

    Article  Google Scholar 

  2. Heeger, D.J.: Normalization of cell responses in cat striate cortex. Visual Neuroscience 9(2), 181–197 (1992)

    Article  MathSciNet  Google Scholar 

  3. Hoyer, P.O.: Non-negative matrix factorization with sparseness constraints. Journal of Machine Learning Research 5, 1457–1469 (2004)

    MathSciNet  MATH  Google Scholar 

  4. Lee, D.D., Seung, H.S.: Algorithms for nonnegative matrix factorization. In: Advances in Neural Information Processing, ch. 13. MIT Press (2001)

    Google Scholar 

  5. Olshausen, B.A., Field, D.J.: Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381(6583), 607–609 (1996)

    Article  Google Scholar 

  6. Ringach, D.L.: Spatial structure and symmetry of simple-cell receptive fields in macaque primary visual cortex. Journal of Neurophysiology 88(1), 455–463 (2002)

    Google Scholar 

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© 2013 Springer-Verlag Berlin Heidelberg

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Yokoyama, H. (2013). Nonnegative Source Separation with Expansive Nonlinearity: Comparison with the Primary Visual Cortex. In: Lee, M., Hirose, A., Hou, ZG., Kil, R.M. (eds) Neural Information Processing. ICONIP 2013. Lecture Notes in Computer Science, vol 8227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-42042-9_26

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  • DOI: https://doi.org/10.1007/978-3-642-42042-9_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-42041-2

  • Online ISBN: 978-3-642-42042-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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