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Sorting Network Development Using Cellular Automata

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Evolvable Systems: From Biology to Hardware (ICES 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6274))

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Abstract

The sorting network design represents a task that has often been considered as a benchmark for various applications of evolutionary design and optimization techniques. Although the specific structure of this class of circuits allows to use a simple encoding in combination with additional mechanisms for optimizing the area- and delay-efficiency of designed sorting networks, the design of large sorting networks represents a difficult task. This paper proposes a novel cellular automaton-based approach for the development of specific instances of sorting networks. In order to explore the area of generative cellular automata applied on this specific circuit structures, two different encodings are introduced: (1) an absolute encoding and (2) a relative encoding. The abilities of the both techniques are investigated and a comparative study is provided considering a variety of experimental settings.

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References

  1. Bidlo, M., Vasicek, Z.: Gate-level evolutionary development using cellular automata. In: Proc. of The 3rd NASA/ESA Conference on Adaptive Hardware and Systems, AHS 2008, pp. 11–18. IEEE Computer Society, Los Alamitos (2008)

    Google Scholar 

  2. Bidlo, M., Škarvada, J.: Instruction-based development: From evolution to generic structures of digital circuits. International Journal of Knowledge-Based and Intelligent Engineering Systems 12(3), 221–236 (2008)

    Article  Google Scholar 

  3. Choi, S.S., Moon, B.R.: A hybrid genetic search for the sorting network problem with evolving parallel layers. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2001), pp. 258–265. Morgan Kaufmann, San Francisco (2001)

    Google Scholar 

  4. Choi, S.S., Moon, B.R.: Isomorphism, normalization, and a genetic algorithm for sorting network optimization. In: GECCO 2002: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 327–334. Morgan Kaufmann Publishers Inc., San Francisco (2002)

    Google Scholar 

  5. Choi, S.S., Moon, B.R.: More effective genetic search for the sorting network problem. In: Proc. of the Genetic and Evolutionary Computation Conference, GECCO 2002, pp. 335–342. Morgan Kaufmann, New York (2002)

    Google Scholar 

  6. Gordon, T.G.W., Bentley, P.J.: Towards development in evolvable hardware. In: Proc. of the 2002 NASA/DoD Conference on Evolvable Hardware, pp. 241–250. IEEE Press, Washington D.C. (2002)

    Google Scholar 

  7. Haddow, P.C., Tufte, G.: Bridging the genotype–phenotype mapping for digital FPGAs. In: Proc. of the 3rd NASA/DoD Workshop on Evolvable Hardware, pp. 109–115. IEEE Computer Society, Los Alamitos (2001)

    Google Scholar 

  8. Hillis, W.D.: Co-evolving parasites improve simulated evolution as an optimization procedure. Physica D 42(1–3), 228–234 (1990)

    Article  Google Scholar 

  9. Koza, J.R., Bennett, F.H., Andre, D., Keane, M.A.: Genetic Programming III: Darwinian Invention and Problem Solving. Morgan Kaufmann, San Francisco (1999)

    MATH  Google Scholar 

  10. Juillé, H.: Evolution of non-deterministic incremental algorithms as a new approach for search in state spaces. In: Proc. of 6th Int. Conference on Genetic Algorithms, pp. 351–358. Morgan Kaufmann, San Francisco (1995)

    Google Scholar 

  11. Knuth, D.E.: The Art of Computer Programming: Sorting and Searching, 2nd edn. Addison-Wesley, Reading (1998)

    MATH  Google Scholar 

  12. Miller, J.F.: Evolving developmental programs for adaptation, morphogenesis and self-repair. In: Banzhaf, W., Ziegler, J., Christaller, T., Dittrich, P., Kim, J.T. (eds.) ECAL 2003. LNCS (LNAI), vol. 2801, pp. 256–265. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  13. Miller, J.F., Thomson, P.: Cartesian genetic programming. In: Poli, R., Banzhaf, W., Langdon, W.B., Miller, J., Nordin, P., Fogarty, T.C. (eds.) EuroGP 2000. LNCS, vol. 1802, pp. 121–132. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  14. Miller, J.F., Thomson, P.: A developmental method for growing graphs and circuits. In: Tyrrell, A.M., Haddow, P.C., Torresen, J. (eds.) ICES 2003. LNCS, vol. 2606, pp. 93–104. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  15. von Neumann, J.: The Theory of Self-Reproducing Automata. In: Burks, A.W. (ed.). University of Illinois Press, US (1966)

    Google Scholar 

  16. Sekanina, L., Bidlo, M.: Evolutionary design of arbitrarily large sorting networks using development. Genetic Programming and Evolvable Machines 6(3), 319–347 (2005)

    Article  Google Scholar 

  17. Sipper, M.: Evolution of Parallel Cellular Machines. LNCS, vol. 1194. Springer, Heidelberg (1997)

    Book  Google Scholar 

  18. Tufte, G., Haddow, P.C.: Towards development on a silicon-based cellular computing machine. Natural Computing 4(4), 387–416 (2005)

    Article  MATH  Google Scholar 

  19. Wolfram, S.: A New Kind of Science. Wolfram Media, Champaign IL (2002)

    MATH  Google Scholar 

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Bidlo, M., Vasicek, Z., Slany, K. (2010). Sorting Network Development Using Cellular Automata. In: Tempesti, G., Tyrrell, A.M., Miller, J.F. (eds) Evolvable Systems: From Biology to Hardware. ICES 2010. Lecture Notes in Computer Science, vol 6274. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15323-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-15323-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15322-8

  • Online ISBN: 978-3-642-15323-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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