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A Rule Chaining Architecture Using a Correlation Matrix Memory

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Artificial Neural Networks and Machine Learning – ICANN 2012 (ICANN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7552))

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Abstract

This paper describes an architecture based on superimposed distributed representations and distributed associative memories which is capable of performing rule chaining. The use of a distributed representation allows the system to utilise memory efficiently, and the use of superposition reduces the time complexity of a tree search to O(d), where d is the depth of the tree. Our experimental results show that the architecture is capable of rule chaining effectively, but that further investigation is needed to address capacity considerations.

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References

  1. Kohonen, T.: Correlation Matrix Memories. IEEE Transactions on Computers, 353–359 (1972)

    Google Scholar 

  2. Baum, E.B., Moody, J., Wilczek, F.: Internal Representations for Associative Memory. Biol. Cybernetics 59, 217–228 (1988)

    Article  MATH  Google Scholar 

  3. Austin, J.: Parallel Distributed Computation in Vision. In: IEE Colloquium on Neural Networks for Image Processing Applications, pp. 3/1–3/3 (1992)

    Google Scholar 

  4. Kustrin, D., Austin, J.: Connectionist Propositional Logic A Simple Correlation Matrix Memory Based Reasoning System. In: Wermter, S., Austin, J., Willshaw, D.J. (eds.) Emergent Neural Computational Architectures Based on Neuroscience. LNCS (LNAI), vol. 2036, pp. 534–546. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Willshaw, D.J., Buneman, O.P., Longuet-Higgins, H.C.: Non-holographic Associative Memory. Nature 222, 960–962 (1969)

    Article  Google Scholar 

  6. Ritter, H., Martinetz, T., Schulten, K., Barsky, D., Tesch, M., Kates, R.: Neural Computation and Self-Organizing Maps: An Introduction. Addison Wesley, Redwood City (1992)

    MATH  Google Scholar 

  7. Palm, G.: On the Storage Capacity of Associative Memories. In: Neural Assemblies, an Alternative Approach to Artificial Intelligence, pp. 192–199. Springer, New York (1982)

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© 2012 Springer-Verlag Berlin Heidelberg

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Austin, J., Hobson, S., Burles, N., O’Keefe, S. (2012). A Rule Chaining Architecture Using a Correlation Matrix Memory. In: Villa, A.E.P., Duch, W., Érdi, P., Masulli, F., Palm, G. (eds) Artificial Neural Networks and Machine Learning – ICANN 2012. ICANN 2012. Lecture Notes in Computer Science, vol 7552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33269-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-33269-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33268-5

  • Online ISBN: 978-3-642-33269-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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