Reinforcement learning-based adaptive particle swarm optimization

Abstract The particle swarm optimization (PSO) algorithm has demonstrated excellent performance in several fields as a widely used optimization method. However, PSO frequently encounters difficulties with poor convergence speed and inadequate convergence accuracy while handling complex optimization problems. To solve these problems, this paper proposes a reinforcement learning-based adaptive particle swarm optimization (RLAPSO) algorithm. First, a multi-information source-driven strategy (MISDS) is introduced to enhance population diversity. By integrating comprehensive and mainstream learning concepts, the proposed MISDS optimizes the update mechanism for particles positions and velocities. This enables particles to learn not only the global and their individual optimal solutions but also the individual optimal solutions of other particles, as well as the average of these solutions. Second, to improve both the convergence speed and accuracy of PSO, the proximal policy optimization (PPO) method is used to adjust the PSO parameters adaptively. Finally, to further speed up the convergence and improve the solution accuracy, a dynamic reward function is proposed in the framework of PPO, which can adjust the intensity of the feedback in real-time according to the progress of the search. The experimental results show that RLAPSO considerably increases the convergence speed and convergence accuracy on test sets of both CEC 2013 and CEC 2022. Compared with classic PSO variants and other swarm intelligence (SI) algorithms, RLAPSO exhibits superior overall performance when addressing complex optimization problems.

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Publication Details

Journal
Complex & Intelligent Systems
Published
2026-06-16
DOI
https://doi.org/10.1007/s40747-026-02345-w
Primary Topic
Metaheuristic Optimization Algorithms Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Reinforcement learning-based adaptive particle swarm optimization

Ruping Zhou, Genggeng Liu, Ye Tian, Xuehui Su
Complex & Intelligent Systems
Metaheuristic Optimization Algorithms Research
article

Reinforcement learning-based adaptive particle swarm optimization

Ruping Zhou, Genggeng Liu, Ye Tian, Xuehui Su
article en

Abstract

Abstract The particle swarm optimization (PSO) algorithm has demonstrated excellent performance in several fields as a widely used optimization method. However, PSO frequently encounters difficulties with poor convergence speed and inadequate convergence accuracy while handling complex optimization problems. To solve these problems, this paper proposes a reinforcement learning-based adaptive particle swarm optimization (RLAPSO) algorithm. First, a multi-information source-driven strategy (MISDS) is introduced to enhance population diversity. By integrating comprehensive and mainstream learning concepts, the proposed MISDS optimizes the update mechanism for particles positions and velocities. This enables particles to learn not only the global and their individual optimal solutions but also the individual optimal solutions of other particles, as well as the average of these solutions. Second, to improve both the convergence speed and accuracy of PSO, the proximal policy optimization (PPO) method is used to adjust the PSO parameters adaptively. Finally, to further speed up the convergence and improve the solution accuracy, a dynamic reward function is proposed in the framework of PPO, which can adjust the intensity of the feedback in real-time according to the progress of the search. The experimental results show that RLAPSO considerably increases the convergence speed and convergence accuracy on test sets of both CEC 2013 and CEC 2022. Compared with classic PSO variants and other swarm intelligence (SI) algorithms, RLAPSO exhibits superior overall performance when addressing complex optimization problems.

Complex & Intelligent Systems
Anhui University (CN), Fuzhou University (CN)
National Natural Science Foundation of China, Science Fund for Distinguished Young Scholars of Fujian Province
No poverty
Openalex Percentile: Top 4%
Metaheuristic Optimization Algorithms Research
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Reinforcement learning-based adaptive particle swarm optimization — Ruping Zhou, Genggeng Liu, et al. · Complex & Intelligent Systems (2026) | TGRS Research Map | TGRS