Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network
Guo D, Wang X, Gao K, Jin Y, Ding J, Chai T (2022)
IEEE Transactions on Systems, Man, and Cybernetics: Systems 52(4): 2084-2097.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Guo, Dan;
Wang, Xilu;
Gao, Kailai;
Jin, YaochuUniBi
;
Ding, Jinliang;
Chai, Tianyou
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Abstract / Bemerkung
Gaussian processes (GPs) are widely used in surrogate-assisted evolutionary optimization of expensive problems mainly due to the ability to provide a confidence level of their outputs, making it possible to adopt principled surrogate management methods, such as the acquisition function used in the Bayesian optimization. Unfortunately, GPs become less practical for high-dimensional multiobjective and many-objective optimization as their computational complexity is cubic in the number of training samples. In this article, we propose a computationally efficient dropout neural network (EDN) to replace the Gaussian process and a new model management strategy to achieve a good balance between convergence and diversity for assisting evolutionary algorithms to solve high-dimensional multiobjective and many-objective expensive optimization problems. While the conventional dropout neural network needs to save a large number of network models during the training for calculating the confidence level, only one single network model is needed in the EDN to estimate the fitness and its confidence level by randomly ignoring neurons in both training and testing the neural network. Extensive experimental studies on benchmark problems with up to 100 decision variables and 20 objectives demonstrate that, compared to state of the art, the proposed algorithm is not only highly competitive in performance but also computationally more scalable to high-dimensional many-objective optimization problems. Finally, the proposed algorithm is validated on an operational optimization problem of crude oil distillation units, further confirming its capability of handling expensive problems given a limited computational budget.
Erscheinungsjahr
2022
Zeitschriftentitel
IEEE Transactions on Systems, Man, and Cybernetics: Systems
Band
52
Ausgabe
4
Seite(n)
2084-2097
ISSN
2168-2216
eISSN
2168-2232
Page URI
https://pub.uni-bielefeld.de/record/2978342
Zitieren
Guo D, Wang X, Gao K, Jin Y, Ding J, Chai T. Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 2022;52(4):2084-2097.
Guo, D., Wang, X., Gao, K., Jin, Y., Ding, J., & Chai, T. (2022). Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(4), 2084-2097. https://doi.org/10.1109/TSMC.2020.3044418
Guo, Dan, Wang, Xilu, Gao, Kailai, Jin, Yaochu, Ding, Jinliang, and Chai, Tianyou. 2022. “Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network”. IEEE Transactions on Systems, Man, and Cybernetics: Systems 52 (4): 2084-2097.
Guo, D., Wang, X., Gao, K., Jin, Y., Ding, J., and Chai, T. (2022). Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network. IEEE Transactions on Systems, Man, and Cybernetics: Systems 52, 2084-2097.
Guo, D., et al., 2022. Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(4), p 2084-2097.
D. Guo, et al., “Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network”, IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 52, 2022, pp. 2084-2097.
Guo, D., Wang, X., Gao, K., Jin, Y., Ding, J., Chai, T.: Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 52, 2084-2097 (2022).
Guo, Dan, Wang, Xilu, Gao, Kailai, Jin, Yaochu, Ding, Jinliang, and Chai, Tianyou. “Evolutionary Optimization of High-Dimensional Multiobjective and Many-Objective Expensive Problems Assisted by a Dropout Neural Network”. IEEE Transactions on Systems, Man, and Cybernetics: Systems 52.4 (2022): 2084-2097.