Skip to main content

A Novel Modular Neural Architecture for Rule-Based and Similarity-Based Reasoning

  • Conference paper
Book cover Hybrid Neural Systems (Hybrid Neural Systems 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1778))

Included in the following conference series:

Abstract

Hybrid connectionist symbolic systems have been the subject of much recent research in AI. By focusing on the implementation of high-level human cognitive processes (e.g., rule-based inference) on low-level, brain-like structures (e.g., neural networks), hybrid systems inherit both the efficiency of connectionism and the comprehensibility of symbolism. This paper presents the Basic Reasoning Applicator Implemented as a Neural Network (BRAINN). Inspired by the columnar organisation of the human neocortex, BRAINN’s architecture consists of a large hexagonal network of Hopfield nets, which encodes and processes knowledge from both rules and relations. BRAINN supports both rule-based reasoning and similarity-based reasoning. Empirical results demonstrate promise.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bogacz, R., Giraud-Carrier, C.: BRAINN: A Connectionist Approach to Symbolic Reasoning. In: Proceedings of the First International ICSC Symposium on Neural Computation (NC 1998), pp. 907–913 (1998)

    Google Scholar 

  2. Boz, O.: Bibliography on Integration of Symbolism with Connectionism, and Rule Integration and Extraction in Neural Networks. (1997), http://www.lehigh.edu/ob00/integrated/references-new.html

  3. Calvin, W.: The Cerebral Code. MIT Press, Cambridge (1996)

    Google Scholar 

  4. Hall, L.O., Romaniuk, S.G.: A Hybrid Connectionist, Symbolic Learning System. In: Proceedings of the National Conference on Articial Intelligence (AAAI 1990), pp. 783–788 (1990)

    Google Scholar 

  5. Herz, J., Krogh, A., Palmer, R.: Introduction to the Theory of Neural Computation. Addison-Wesley, Reading (1991)

    Google Scholar 

  6. Hinton, G.: Implementing Semantic networks in Parallel Hardware. In: Hinton, G., Anderson, J. (eds.) Parallel Models of Associative Memory. Lawrence Erlbaum Associates, Inc, Mahwah (1981)

    Google Scholar 

  7. Hopfield, J., Tank, D.: Neural Computation of Decisions in Optimization Problems. Biological Cybernetics 52, 141–152 (1985)

    MATH  MathSciNet  Google Scholar 

  8. Lifschitz, V.: Benchmark Problems for Formal Nonmonotonic Reasoning. In: Reinfrank, M., Ginsberg, M.L., de Kleer, J., Sandewall, E. (eds.) Non-Monotonic Reasoning 1988. LNCS, vol. 346, pp. 202–219. Springer, Heidelberg (1988)

    Google Scholar 

  9. Martinez, T.R.: Adaptive Self-Organizing Networks. Ph.D. Thesis (Tech. Rep. CSD 860093), University of California, Los Angeles (1986)

    Google Scholar 

  10. Sun, R.: A Connectionist Model for Common Sense Reasoning Incorporating Rules and Similarities. Knowledge Acquisition 4, 293–331 (1992)

    Article  Google Scholar 

  11. Sun, R.: Bibliography on Connectionist Symbolic Integration. In: Sun, R. (ed.) Computational Architectures Integrating Symbolic and Connectionist Processing. Kluwer Academic Publishers, Dordrecht (1994)

    Chapter  Google Scholar 

  12. Sun, R., Alexandre, F. (eds.): Working Notes of IJCAI 1995 Workshop on Connectionist-Symbolic Integration (1995)

    Google Scholar 

  13. Sun, R.: Learning, Action and Consciousness: A Hybrid Approach Toward Modeling Consciousness. Neural Networks 10(7), 1317–1331 (1997)

    Article  Google Scholar 

  14. Touretzky, D., Hinton, G.: Symbols Among the Neurons: Details of a Connectionist Inference Architecture. In: Proceedings of the International Joint Conference on Articial Intelligence (IJCAI 1985), pp. 238–243 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bogacz, R., Giraud-Carrier, C. (2000). A Novel Modular Neural Architecture for Rule-Based and Similarity-Based Reasoning. In: Wermter, S., Sun, R. (eds) Hybrid Neural Systems. Hybrid Neural Systems 1998. Lecture Notes in Computer Science(), vol 1778. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719871_5

Download citation

  • DOI: https://doi.org/10.1007/10719871_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67305-7

  • Online ISBN: 978-3-540-46417-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics