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Multi-objectivity as a Tool for Constructing Hierarchical Complexity

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2723))

Abstract

This paper presents a novel perspective to the use of multi-objective optimization and in particular evolutionary multi-objective optimization (EMO) as a measure of complexity. We show that the partial order feature that is being inherited in the Pareto concept exhibits characteristics which are suitable for studying and measuring the complexities of embodied organisms. We also show that multi-objectivity provides a suitable methodology for investigating complexity in artificially evolved creatures. Moreover, we present a first attempt at quantifying the morphological complexity of quadruped and hexapod robots as well as their locomotion behaviors.

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References

  1. Hussein A. Abbass. The self-adaptive pareto differential evolution algorithm. In Proceedings of the 2002 Congress on Evolutionary Computation (CEC2002), volume 1, pages 831–836. IEEE Press, Piscataway, NJ, 2002.

    Google Scholar 

  2. Josh C. Bongard. Evolving modular genetic regulatory networks. In Proceedings of the 2002 Congress on Evolutionary Computation (CEC2002), pages 1872–1877. IEEE Press, Piscataway, NJ, 2002.

    Google Scholar 

  3. Rodney A. Brooks. Intelligence without reason. In L. Steels and R. Brooks (Eds), The Artificial Life Route to Artificial Intelligence: Building Embodied, Situated Agents, pages 25–81. Lawrence Erlbaum Assoc. Publishers, Hillsdale, NJ, 1995.

    Google Scholar 

  4. Critical Mass Labs. Vortex [online]. http://www.cm-labs.com [cited — 25/1/2002].

    Google Scholar 

  5. Kalyanmoy Deb. Multi-objective Optimization using Evolutionary Algorithms. John Wiley & Sons, Chicester, UK, 2001.

    MATH  Google Scholar 

  6. Claus Emmeche. Garden in the Machine. Princeton University Press, Princeton, NJ, 1994.

    Google Scholar 

  7. David P. Feldman and James P. Crutchfield. Measures of statistical complexity: Why? Physics Letters A, 238:244–252, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  8. Dario Floreano and Joseba Urzelai. Evolutionary robotics: The next generation. In T. Gomi, editor, Proceedings of Evolutionary Robotics III, pages 231–266. AAI Books, Ontario, 2000.

    Google Scholar 

  9. Simon Haykin. Neural networks — a comprehensive foundation. Prentice Hall, USA, 2 edition, 1999.

    MATH  Google Scholar 

  10. Gregory S. Hornby and Jordan B. Pollack. Body-brain coevolution using L-systems as a generative encoding. In L. Spector et al. (Eds), Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2001), pages 868–875. Morgan Kaufmann, San Francisco, 2001.

    Google Scholar 

  11. Andrei N. Kolmogorov. Three approaches to the quantitative definition of information. Problems of Information Transmission, 1:1–7, 1965.

    Google Scholar 

  12. Hod Lipson and Jordan B. Pollack. Automatic design and manufacture of robotic lifeforms. Nature, 406:974–978, 2000.

    Article  Google Scholar 

  13. Henrik H. Lund and John Hallam. Evolving sufficient robot controllers. In Proceedings of the 4th IEEE International Conference on Evolutionary Computation, pages 495–499. IEEE Press, Piscataway, NJ, 1997.

    Chapter  Google Scholar 

  14. Rolf Pfeifer and Christian Scheier. Understanding Intelligence. MIT Press, Cambridge, MA, 1999.

    Google Scholar 

  15. Jordan B. Pollack, Hod Lipson, Sevan G. Ficici, Pablo Funes, and Gregory S. Hornby. Evolutionary techniques in physical robotics. In Peter J. Bentley and David W. Corne (Eds), Creative Evolutionary Systems, chapter 21, pages 511–523. Morgan Kaufmann Publishers, San Francisco, 2002.

    Chapter  Google Scholar 

  16. Cosma R. Shalizi. Causal Architecture, Complexity and Self-Organization in Time Series and Cellular Automata. Unpublished PhD thesis, University of Wisconsin at Madison, Wisconsin, 2001.

    Google Scholar 

  17. Claude E. Shannon. A mathematical theory of communication. The Bell System Technical Journal, 27(3):379–423, 1948.

    MathSciNet  Google Scholar 

  18. Karl Sims. Evolving 3D morphology and behavior by competition. In R. Brooks and P. Maes (Eds), Artificial Life IV: Proceedings of the Fourth International Workshop on the Synthesis and Simulation of Living Systems, pages 28–39. MIT Press, Cambridge, MA, 1994.

    Google Scholar 

  19. Russell K. Standish. On complexity and emergence [online]. Complexity International, 9, 2001.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Teo, J., Nguyen, M.H., Abbass, H.A. (2003). Multi-objectivity as a Tool for Constructing Hierarchical Complexity. In: Cantú-Paz, E., et al. Genetic and Evolutionary Computation — GECCO 2003. GECCO 2003. Lecture Notes in Computer Science, vol 2723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45105-6_60

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  • DOI: https://doi.org/10.1007/3-540-45105-6_60

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40602-0

  • Online ISBN: 978-3-540-45105-1

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