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Updating ACO Pheromones Using Stochastic Gradient Ascent and Cross-Entropy Methods

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Abstract

In this paper we introduce two systematic approaches, based on the stochastic gradient ascent algorithm and the cross-entropy method, for deriving the pheromone update rules in the Ant colony optimization metaheuristic. We discuss the relationships between the two methods as well as connections to the update rules previously proposed in the literature.

This work was carried out while the author was at IRIDIA, Université Libre de Bruxelles, Belgium.

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References

  1. M. Dorigo and G. Di Caro. The Ant Colony Optimization meta-heuristic. In D. Corne, M. Dorigo, and F. Glover, editors, New Ideas in Optimization, pages 11–32. McGraw Hill, London, UK, 1999.

    Google Scholar 

  2. G. Di Caro and M. Dorigo. AntNet: Distributed stigmergetic control for communications networks. Journal of Artificial Intelligence Research, 9:317–365, 1998.

    MATH  Google Scholar 

  3. D. P. Bertsekas. Nonlinear Programming. Athena Scientific, Belmont, MA, 1995.

    MATH  Google Scholar 

  4. R. Y. Rubinstein. The cross-entropy method for combinatorial and continuous optimization. Methodology and Computing in Applied Probability, 1(2):127–190, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  5. R. Y. Rubinstein. Combinatorial optimization, cross-entropy, ants and rare events. In S. Uryasev and P. M. Pardalos, editors, Stochastic Optimization: Algorithms and Applications. Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001.

    Google Scholar 

  6. M. Dorigo and L. M. Gambardella. Ant Colony System: A cooperative learning approach to the traveling salesman problem. IEEE Transactions on Evolutionary Computation, 1(1):53–66, 1997.

    Article  Google Scholar 

  7. M. Dorigo, V. Maniezzo, and A. Colorni. The Ant System: Optimization by a colony of cooperating agents. IEEE Transactions on Systems, Man, and Cybernetics-Part B, 26(1):29–41, 1996.

    Article  Google Scholar 

  8. T. Stützle and H. H. Hoos. The MAX-MIN ant system and local search for the traveling salesman problem. In Proceedings of ICEC’97-1997 IEEE 4th International Conference on Evolutionary Computation, pages 308–313. IEEE Press, Piscataway, NJ, 1997.

    Google Scholar 

  9. C. Blum, A. Roli, and M. Dorigo. HC-ACO: The hyper-cube framework for Ant ColonyOptimization. In Proceedings of MIC’2001-Meta-heuristics International Conference, volume 2, pages 399–403, Porto, Portugal, 2001. Also available as technical report TR/IRIDIA/2001-16, IRIDIA, Université Libre de Bruxelles, Brussels, Belgium.

    Google Scholar 

  10. N. Meuleau and M. Dorigo. Ant colony optimization and stochastic gradient descent. Artificial Life, 2002, in press.

    Google Scholar 

  11. S. Kullback. Information Theory and Statistics. John Wiley & Sons, New York, NY, 1959.

    MATH  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Dorigo, M., Zlochin, M., Meuleau, N., Birattari, M. (2002). Updating ACO Pheromones Using Stochastic Gradient Ascent and Cross-Entropy Methods. In: Cagnoni, S., Gottlieb, J., Hart, E., Middendorf, M., Raidl, G.R. (eds) Applications of Evolutionary Computing. EvoWorkshops 2002. Lecture Notes in Computer Science, vol 2279. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46004-7_3

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  • DOI: https://doi.org/10.1007/3-540-46004-7_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43432-0

  • Online ISBN: 978-3-540-46004-6

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