Manifold Alignment and Dual Prediction-based Adaptive Dynamic Multi-objective Evolutionary Algorithm

Authors

• Xuezhi Yue, School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
• Chao Xiong, School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
• Yanshen Jiang, School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
• Zhaolu Guo, School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
• Hu Peng, School of Computer and Big Data Science, Jiujiang University, Jiujiang 332005, China

Abstract

Abstract: To address prediction failure, manifold topology distortion, and insufficient adaptability in environmental response and operator configuration in existing prediction-based algorithms for dynamic multi-objective optimization under complex nonlinear environments and small-sample settings, this paper proposes a manifold alignment and dual prediction-based adaptive dynamic multi-objective evolutionary algorithm, termed MADP-DMOEA. When the environment changes, the algorithm decomposes the decision-variable manifold into center and shape components, effectively aligns manifolds at adjacent time instants via bipartite optimal matching, and identifies environmental change severity using geometric displacement. A dual prediction model is developed, in which a GRNN performs center extrapolation under severe changes, while an echo state network (ESN) estimates epistemic uncertainty to adaptively adjust the perturbation scale under mild changes. Operator scheduling based on dynamic convergence feedback and environmental selection that preserves decision-space topology are introduced. Experimental results demonstrate that the proposed algorithm achieves good convergence accuracy, diversity of solution distribution, and dynamic tracking performance in complex time-varying environments and effectively improves the tracking of the Pareto-optimal solution set.

Recommended Citation

Yue, Xuezhi; Xiong, Chao; Jiang, Yanshen; Guo, Zhaolu; and Peng, Hu (2026) "Manifold Alignment and Dual Prediction-based Adaptive Dynamic Multi-objective Evolutionary Algorithm," Journal of System Simulation: Vol. 38: Iss. 10, Article 8.
DOI: 10.16182/j.issn1004731x.joss.26-0401
Available at: https://dc-china-simulation.researchcommons.org/journal/vol38/iss10/8

First Page

2887

Last Page

2904

CLC

TP301

Recommended Citation

Yue Xuezhi, Xiong Chao, Jiang Yanshen, et al. Manifold Alignment and Dual Prediction-based Adaptive Dynamic Multi-objective Evolutionary Algorithm[J]. Journal of System Simulation, 2026, 38(10): 2887-2904.

DOI

10.16182/j.issn1004731x.joss.26-0401