Evolutionary multimodal optimization: Difference between revisions

Revision as of 08:04, 28 December 2015

Revision as of 08:19, 28 December 2015

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In [[applied mathematics]], '''multimodal optimization''' deals with [[Mathematical optimization|optimization]] tasks that involve finding all or most of the multiple (at least locally optimal) solutions of a problem, as opposed to a single best solution.

Evolutionary multimodal optimization is a branch of [[Evolutionary computation]], which is closely related to [[Machine learning]]. Wong provides a short survey,<ref>Wong, K. C. (2015), [http://arxiv.org/abs/1508.00457 Evolutionary Multimodal Optimization: A Short Survey] arXiv preprint arXiv:1508.00457</ref> wherein the chapter of Shir<ref>Shir, O.M.: (2012), [http://link.springer.com/book/10.1007/978-3-540-92910-9 Niching in Evolutionary Algorithms]</ref> and the book of Preuss<ref>Preuss, Mike (2015), [http://www.springer.com/de/book/9783319074061 Multimodal Optimization by Means of Evolutionary Algorithms]</ref> cover the topic in more detail.

== Motivation ==

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* Wong, K. C., (2010). [http://portal.acm.org/citation.cfm?id=1830483.1830513 Protein structure prediction on a lattice model via multimodal optimization techniques. GECCO 2010: 155–162]

* Saha, A., Deb, K. (2010), [http://www.springerlink.com/content/8676217j87173p60/ A Bi-criterion Approach to Multimodal Optimization: Self-adaptive Approach. SEAL 2010: 95–104]

* Shir, O.M., Emmerich, M., Bäck, T. (2010), [http://www.mitpressjournals.org/doi/abs/10.1162/evco.2010.18.1.18104#.VoDu4l6Y7ro Adaptive Niche Radii and Niche Shapes Approaches for Niching with the CMA-ES. Evolutionary Computation Vol. 18, No. 1, pp.&nbsp; 97-126.]

* C. Stoean, M. Preuss, R. Stoean, D. Dumitrescu (2010) [http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5491155 Multimodal Optimization by means of a Topological Species Conservation Algorithm]. In IEEE Transactions on Evolutionary Computation, Vol. 14, Issue 6, pages 842–864, 2010.

* S. Das, S. Maity, B-Y Qu, P. N. Suganthan, "Real-parameter evolutionary multimodal optimization — A survey of the state-of-the-art", Vol. 1, No. 2, pp.&nbsp;71–88, Swarm and Evolutionary Computation, June 2011.