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ABSTRACT
The development of Estimation of Distribution Algorithms (EDAs) has largely been driven by using more and more complex statistical models to approximate the structure of search space. However, there are still problems that are difficult for EDAs even with models capable of capturing high order dependences. In this paper, we show that diversity maintenance plays an important role in the performance of EDAs. A continuous EDA based on the Cholesky decomposition is tested on some well-known difficult benchmark problems to demonstrate how different diversity maintenance approaches could be applied to substantially improve its performance.
REFERENCES
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CITED BY 12
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Paul Snijders , Edwin D. de Jong , Bart de Boer , Franjo Weissing, Multi-objective diversity maintenance, Proceedings of the 8th annual conference on Genetic and evolutionary computation, July 08-12, 2006, Seattle, Washington, USA
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Jörn Grahl , Peter A. N. Bosman , Stefan Minner, Convergence phases, variance trajectories, and runtime analysis of continuous EDAs, Proceedings of the 9th annual conference on Genetic and evolutionary computation, July 07-11, 2007, London, England
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Jie Chen , Bin Xin , Zhihong Peng , Lihua Dou , Juan Zhang, Optimal contraction theorem for exploration-exploitation tradeoff in search and optimization, IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, v.39 n.3, p.680-691, May 2009
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Luis Martí , Jesús García , Antonio Berlanga , José M. Molina, Solving complex high-dimensional problems with the multi-objective neural estimation of distribution algorithm, Proceedings of the 11th Annual conference on Genetic and evolutionary computation, July 08-12, 2009, Montreal, Québec, Canada
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