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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3696))

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Abstract

We create a new form of topographic map which is based on a nonlinear mapping of a space of latent points. The mapping of these latent points into data space creates centres which are equivalent to those of the standard SOM. We relate this mapping to the Generative Topographic Mapping, GTM. We then show that it is rather simple and computationally inexpensive to grow one of these maps and that a probabilistic interpretation of these maps facilitates our investigation of alternative algorithms.

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References

  1. Bishop, C.M., Svensen, M., Williams, C.K.I.: Gtm: The generative topographic mapping. Neural Computation (1997)

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  2. Fyfe, C., MacDonald, D.: Epsilon-insensitive hebbian learning. Neurocomputing 47, 35–57 (2002)

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  3. Hinton, G.E.: Training products of experts by minimizing contrastive divergence. Technical Report GCNU TR 2000-004, Gatsby Computational Neuroscience Unit, University College, London (2000), http://www.gatsby.ucl.ac.uk/

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© 2005 Springer-Verlag Berlin Heidelberg

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Fyfe, C. (2005). The Topographic Product of Experts. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Biological Inspirations – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3696. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550822_62

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  • DOI: https://doi.org/10.1007/11550822_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28752-0

  • Online ISBN: 978-3-540-28754-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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