Skip to main content

Functional and Structural Topologies in Evolved Neural Networks

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5777))

Abstract

The topic of evolutionary trends in complexity has drawn much controversy in the artificial life community. Rather than investigate the evolution of overall complexity, here we investigate the evolution of topology of networks in the Polyworld artificial life system. Our investigation encompasses both the actual structure of neural networks of agents in this system, and logical or functional networks inferred from statistical dependencies between nodes in the networks. We find interesting trends across several topological measures, which together imply a trend of more integrated activity across the networks (with the networks taking on a more “small-world” character) with evolutionary time.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bedau, M.A.: The evolution of complexity. In: Barberousse, A., Morange, M., Pradeu, T. (eds.) Mapping the Future of Biology. Boston Studies In The Philosophy Of Science, vol. 266, pp. 111–130. Springer, Netherlands (2009)

    Chapter  Google Scholar 

  2. Gould, S.J.: The evolution of life on earth. Scientific American 271(4), 62–69 (1994)

    Article  Google Scholar 

  3. Maynard Smith, J.: Time in the evolutionary process. Studium Generale 23, 266–272 (1970)

    Google Scholar 

  4. Yaeger, L., Sporns, O.: Evolution of neural structure and complexity in a computational ecology. In: Rocha, L.M., Yaeger, L.S., Bedau, M.A., Floeano, D., Goldstone, R.L., Vespignani, A. (eds.) Proceedings of the Tenth International Conference on Simulation and Synthesis of Living Systems (ALifeX), Bloomington, Indiana, USA, pp. 330–336. MIT Press, Cambridge (2006)

    Google Scholar 

  5. Yaeger, L., Griffith, V., Sporns, O.: Passive and driven trends in the evolution of complexity. In: Bullock, S., Noble, J., Watson, R., Bedau, M.A. (eds.) Proceedings of the Eleventh International Conference on the Simulation and Synthesis of Living Systems (ALifeXI), Winchester, UK, pp. 725–732. MIT Press, Cambridge (2008)

    Google Scholar 

  6. Friston, K.J.: Functional and effective connectivity in neuroimaging: A synthesis. Human Brain Mapping 2, 56–78 (1994)

    Article  Google Scholar 

  7. Honey, C.J., Kotter, R., Breakspear, M., Sporns, O.: Network structure of cerebral cortex shapes functional connectivity on multiple time scales. Proceedings of the National Academy of Sciences 104(24), 10240–10245 (2007)

    Article  Google Scholar 

  8. MacKay, D.J.: Information Theory, Inference, and Learning Algorithms. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  9. Schreiber, T.: Measuring information transfer. Phys. Rev. Lett. 85(2), 461–464 (2000)

    Article  Google Scholar 

  10. Watts, D.J., Strogatz, S.: Collective dynamics of ‘small-world’ networks. Nature 393, 440–442 (1998)

    Article  Google Scholar 

  11. Yaeger, L.S.: Computational genetics, physiology, metabolism, neural systems, learning, vision and behaviour or polyworld: Life in a new context. In: Langton, C.G. (ed.) Proceedings of the Artificial Life III Conference, Santa Fe, NM, USA, pp. 263–298. Addison-Wesley, Reading (1994)

    Google Scholar 

  12. Lizier, J.T., Prokopenko, M.: Differentiating information transfer and causal effect, Euro. Phys. J. B. 73(4), 605–615 (2009)

    Google Scholar 

  13. Lizier, J.T., Prokopenko, M., Zomaya, A.Y.: Local information transfer as a spatiotemporal filter for complex systems. Phys. Rev. E 77(2), 26110 (2008)

    Article  MathSciNet  Google Scholar 

  14. Bettencourt, L.M.A., Stephens, G.J., Ham, M.I., Gross, G.W.: Functional structure of cortical neuronal networks grown in vitro. Phys. Rev. E 75(2), 21915 (2007)

    Article  MathSciNet  Google Scholar 

  15. Sporns, O., Rubinov, M., Kötter, R.: Brain connectivity toolbox (2009), http://www.brain-connectivity-toolbox.net/

  16. Newman, M.: Assortative mixing in networks. Phy. Rev. Lett. 89(20), 208701 (2002)

    Article  Google Scholar 

  17. Newman, M.: Mixing patterns in networks. Phy. Rev. E 67(2), 26126 (2003)

    Article  MathSciNet  Google Scholar 

  18. Piraveenan, M., Prokopenko, M., Zomaya, A.Y.: Local assortativeness in scale free networks. Euro. Phys. Lett. 89(2), 28002 (2008)

    Article  Google Scholar 

  19. Shimbel, A.: Structural parameters of communication networks. Bulletin of Mathematical Biology 15(4), 501–507 (1953)

    MathSciNet  Google Scholar 

  20. Alon, U.: An Introduction to Systems Biology: Design Principles of Biological Circuits. Chapman & Hall/Crc Mathematical and Computational Biology Series. Chapman & Hall/CRC (July 2006)

    Google Scholar 

  21. Dorogovtsev, S., Mendes, J.: Evolution of Networks: From Biological Nets to the Internet and WWW. Oxford University Press, Oxford (2003)

    Book  MATH  Google Scholar 

  22. Solé, R.V., Valverde, S.: Information theory of complex networks: On evolution and architectural constraints. In: Ben-Naim, E., Frauenfelder, H., Toroczkai, Z. (eds.) Complex Networks. Lecture Notes in Physics, vol. 650, pp. 189–207. Springer, Heidelberg (2004)

    Google Scholar 

  23. Sporns, O., Kötter, R.: Motifs in brain networks. PLoS Biology 2(11), e369 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lizier, J.T., Piraveenan, M., Pradhana, D., Prokopenko, M., Yaeger, L.S. (2011). Functional and Structural Topologies in Evolved Neural Networks. In: Kampis, G., Karsai, I., Szathmáry, E. (eds) Advances in Artificial Life. Darwin Meets von Neumann. ECAL 2009. Lecture Notes in Computer Science(), vol 5777. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21283-3_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21283-3_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21282-6

  • Online ISBN: 978-3-642-21283-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics