CIXL2 swMATH ID: 3302 Software Authors: Ortiz-Boyer, D.; Hervás-Martínez, C.; García-Pedrajas, N. Description: CIXL2: a crossover operator for evolutionary algorithms based on population features. We propose a crossover operator for evolutionary algorithms with real values that is based on the statistical theory of population distributions. The operator is based on the theoretical distribution of the values of the genes of the best individuals in the population. The proposed operator takes into account the localization and dispersion features of the best individuals of the population with the objective that these features would be inherited by the offspring. Our aim is the optimization of the balance between exploration and exploitation in the search process. In order to test the efficiency and robustness of this crossover, we have used a set of functions to be optimized with regard to different criteria, such as, multimodality, separability, regularity and epistasis. With this set of functions we can extract conclusions in function of the problem at hand. We analyze the results using ANOVA and multiple comparison statistical tests. As an example of how our crossover can be used to solve artificial intelligence problems, we have applied the proposed model to the problem of obtaining the weight of each network in a ensemble of neural networks. The results obtained are above the performance of standard methods. Homepage: http://www.cs.cmu.edu/afs/cs/project/jair/pub/volume24/ortizboyer05a-html/Ortiz-Boyer.html Related Software: Genocop; ABC; LIBSVM; GSA; C4.5; UCI-ml; MSOPS-II; SIGOA; dgpf; Evolino; JADE; minpack; AdaBoost.MH; CMA-ES; UNDX Cited in: 17 Publications Further Publications: http://www.cs.cmu.edu/afs/cs/project/jair/pub/volume24/ortizboyer05a-html/node23.html Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year CIXL2: a crossover operator for evolutionary algorithms based on population features. Zbl 1123.62053Ortiz-Boyer, D.; Hervás-Martínez, C.; García-Pedrajas, N. 2005 all top 5 Cited by 39 Authors 5 García-Pedrajas, Nicolás 4 Ortiz-Boyer, Domingo 3 Hervás-Martínez, César 2 Karaboga, Dervis 1 Akay, Bahriye 1 Akbari, Reza 1 Arnold, Nikita 1 Basturk, Bahriye 1 Brabazon, Anthony 1 Castelli, Mauro 1 Chen, Fuzan 1 Chiong, Raymond 1 Dang, Jing 1 Fyfe, Colin 1 García-Martínez, Carlos 1 García-Osorio, César 1 Gorin, Andrey 1 Herrera, Francisco 1 Kang, Fei 1 Kou, Jisong 1 Li, Junjie 1 Li, Minqiang 1 Li, Yaohang 1 Lozano, Manuel 1 Ma, Zhenyue 1 Manzoni, Luca E. 1 Mohammadi, Alireza 1 Molina, Daniel 1 Protopopescu, Vladimir A. 1 Sánchez, Ana M. 1 Silva, Sara 1 Tang, Ke 1 Tian, Jin 1 Vanneschi, Leonardo 1 Weise, Thomas 1 Wu, Husheng 1 Zhang, Fengming 1 Zhang, Xinyu 1 Ziarati, Koorush all top 5 Cited in 12 Serials 2 Applied Mathematics and Computation 2 Information Sciences 2 Pattern Recognition 2 Soft Computing 1 Journal of Computer Science and Technology 1 Neural Networks 1 Journal of Global Optimization 1 European Journal of Operational Research 1 The Journal of Artificial Intelligence Research (JAIR) 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Machine Learning Research (JMLR) all top 5 Cited in 7 Fields 10 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 4 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year