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Experimental Evaluation of Nature-Inspired Algorithms on High Dimensions

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Proceedings of 2nd International Conference on Communication, Computing and Networking

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 46))

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Abstract

This paper concentrates on four very similar metaheuristic optimization algorithms: Differential Evolution (DE), Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and Cuckoo Search (CS) algorithm. These optimization algorithms are used to solve optimization problems with real parameters having real parametric functions. This paper gives a brief discussion of these algorithms followed by the experiment over various benchmark functions. Many researchers have attempted to compare these algorithms on various benchmark functions. This work compares these algorithms on high dimensions over benchmark functions like Ackley’s function, Alpine function, Brown function, Deb function, and Powell sum function. These above algorithms are compared on the basis of time required to converge on various benchmark functions. Our experiments indicate that the CS algorithm outperforms others when the dimensions are high, whereas in some cases, it is comparable to DE.

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References

  1. E.K. Nyarko, R. Cupec, D. Filko, A comparison of several heuristic algorithms for solving high dimensional optimization problems. Int. J. Electr. Comput. Eng. Syst. 1, 1–8 (2014)

    Google Scholar 

  2. D. Whitley, A genetic algorithm tutorial. Stat. Comput. 65–85 (1994)

    Google Scholar 

  3. Differential evolution. Available at: https://en.wikipedia.org/wiki/Differential_evolution [Online]. Accessed 9 Nov 2017

  4. R. Storn, K. Price, Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 4, 341–359 (1997)

    Article  MathSciNet  Google Scholar 

  5. Particle swarm optimization. Available at: https://en.wikipedia.org/wiki/Particle_swarm_optimization [Online]. Accessed 10 Nov 2017

  6. H. Singh, B. Singh, A comparison of optimization algorithms for standard benchmark functions. Int. J. 7 (2017)

    Google Scholar 

  7. J. Kennedy, Particle swarm optimization, in Encyclopedia of Machine Learning (Springer, US, 2011), pp. 760–766

    Google Scholar 

  8. “Cuckoo Search”. Available at: https://en.wikipedia.org/wiki/Cuckoo_search [Online]. Accessed 10 Nov 2017

  9. A.H. Gandomi, X.S. Yang, A.H. Alavi, Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng. Comput. 29(1), 17–35 (2013)

    Google Scholar 

  10. S. Surjanovic, Ackley function. Available at: https://www.sfu.ca/~ssurjano/ackley.html [Online]. Accessed 10 Nov 2017

  11. MathWorks. Ackley function. Available at: https://in.mathworks.com/matlabcentral/fileexchange/37000ackleyfunction?focused=5234563&tab=function [Online]. Accessed 10 Nov 2017

  12. M. Clerc, Alpine function. Available at: http://clerc.maurice.free.fr/pso/Alpine/Alpine_Function.htm [Online]. Accessed 10 Nov 2017

  13. Brown function. Available at: http://mathworld.wolfram.com/BrownFunction.html [Online]. Accessed 11 Nov 2017

  14. X.S. Yang, Nature-Inspired Optimization Algorithms (Elsevier, New York, 2014)

    Google Scholar 

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Correspondence to Manisha Singla .

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Singla, M., Shukla, K.K. (2019). Experimental Evaluation of Nature-Inspired Algorithms on High Dimensions. In: Krishna, C., Dutta, M., Kumar, R. (eds) Proceedings of 2nd International Conference on Communication, Computing and Networking. Lecture Notes in Networks and Systems, vol 46. Springer, Singapore. https://doi.org/10.1007/978-981-13-1217-5_60

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  • DOI: https://doi.org/10.1007/978-981-13-1217-5_60

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1216-8

  • Online ISBN: 978-981-13-1217-5

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