Efficient nonlinear optimization by differential evolution with a rotation-invariant local sampling operation

2011 IEEE Congress of Evolutionary Computation, CEC 2011

Volumn , Issue , 2011, Pages 2215-2222

  Takahama, Tetsuyuki ^a   Sakai, Setsuko ^b  

^a HIROSHIMA CITY UNIVERSITY   (Japan)

^b HIROSHIMA SHUDO UNIVERSITY   (Japan)

Author keywords

differential evolution; extensive search; intensive search; rotation invariant

Indexed keywords

BENCH-MARK PROBLEMS; CROSSOVER OPERATIONS; DIFFERENCE VECTORS; DIFFERENTIAL EVOLUTION; EXTENSIVE SEARCH; INTENSIVE SEARCH; LOCAL SAMPLING; MULTI MODAL FUNCTION; MUTATION OPERATIONS; NON-DIFFERENTIABLE; NON-LINEAR; NON-LINEAR OPTIMIZATION; OPTIMIZATION ALGORITHMS; OPTIMIZATION PROBLEMS; ROTATION INVARIANT;

COMPUTATIONAL EFFICIENCY; OPTIMIZATION; PROBLEM SOLVING; ROTATION;

EVOLUTIONARY ALGORITHMS;

EID: 80051984081     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CEC.2011.5949889     Document Type: Conference Paper

References (19)

1. R. Storn and K. Price, "Differential evolution - A simple and efficient heuristic for global optimization over continuous spaces", Journal of Global Optimization, vol. 11, pp. 341-359, 1997. (Pubitemid 127502202)
2. K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization. Springer, 2005.
3. U. K. Chakraborty, Ed., Advances in Differential Evolution. Springer, 2008.
4. S. Das and P. Suganthan, "Differential evolution: A survey of the stateof-the-art", IEEE Transactions on Evolutionary Computation, vol. 15, no. 1, pp. 4-31, Feb. 2011.
5. Z. Michalewicz, Genetic algorithms + data structures = evolution programs (3rd ed.). London, UK: Springer-Verlag, 1996.
6. E. n. Mezura-Montes, J. Velázquez-Reyes, and C. A. Coello Coello, "A comparative study of differential evolution variants for global optimization", in Proceedings of the 8th annual conference on Genetic and evolutionary computation, 2006, pp. 485-492. (Pubitemid 44611362)
7. T. Takahama and S. Sakai, "Solving nonlinear optimization problems by differential evolution with a rotation-invariant crossover operation using Gram-Schmidt process", in Proc. of Second World Congress on Nature and Biologically Inspired Computing (NaBIC2010), Dec. 2010, pp. 533-540.
8. I. Ono and S. Kobayashi, "A real coded genetic algorithm for function optimization using unimodal normal distributed crossover", in Proceedings of the 7th International Conference on Genetic Algorithms, 1997, pp. 246-253.
9. S. Tsutsui, M. Yamamura, and T. Higuchi, "Multi-parent recombination with simplex crossover in real coded genetic algorithms", in Proc. of Genetic and Evolutionary Computation Conference (GECCO'99), 1999, pp. 657-664.
10. S. Kobayashi, "The frontiers of real-coded genetic algorithms", Journal of Japanese Society for Artificial Intelligence, vol. 24, no. 1, pp. 147-162, Jan. 2009, in Japanese.
11. T. Takahama and S. Sakai, "Constrained optimization by the ε constrained differential evolution with gradient-based mutation and feasible elites", in Proc. of the 2006 IEEE Congress on Evolutionary Computation, Jul. 2006, pp. 308-315.
12. T. Takahama and S. Sakai, "Reducing function evaluations in differential evolution using rough approximation-based comparison", in Proc. of the 2008 IEEE Congress on Evolutionary Computation, Jun. 2008, pp. 2307-2314.
13. S. Kukkonen and J. Lampinen, "Constrained real-parameter optimization with generalized differential evolution", in Proc. of the 2006 IEEE Congress on Evolutionary Computation. Vancouver, BC, Canada: IEEE Press, 16-21 July 2006, pp. 207-214. (Pubitemid 47130499)
14. T. Takahama and S. Sakai, "Solving difficult constrained optimization problems by the ε constrained differential evolution with gradientbased mutation", in Constraint-Handling in Evolutionary Optimization, E. Mezura-Montes, Ed. Springer-Verlag, 2009, pp. 51-72.
15. Z. Jingqiao and A. C. Sanderson, "JADE: Adaptive differential evolution with optional external archive", IEEE Transactions on Evolutionary Computation, vol. 13, no. 5, pp. 945-958, Oct. 2009.
16. Y.-W. Shang and Y.-H. Qiu, "A note on the extended rosenbrock function", Evolutionary Computation, vol. 14, no. 1, pp. 119-126, 2006. (Pubitemid 43955275)
17. X. Yao, Y. Liu, and G. Lin, "Evolutionary programming made faster", IEEE Transactions on Evolutionary Computation, vol. 3, pp. 82-102, 1999.
18. X. Yao, Y. Liu, K.-H. Liang, and G. Lin, "Fast evolutionary algorithms", in Advances in evolutionary computing: theory and applications, A. Ghosh and S. Tsutsui, Eds. New York, NY, USA: Springer-Verlag New York, Inc., 2003, pp. 45-94.
19. T. Takahama and S. Sakai, "Fast and stable constrained optimization by the ε constrained differential evolution", Pacific Journal of Optimization, vol. 5, no. 2, pp. 261-282, May 2009.