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Two-Stage Reinforcement Learning-Based Differential Evolution for Solving Nonlinear Equations

delete2023-07-01
delete12
PRE
AI
Z
Zuowen Liao
龚
龚文引 (Wenyin Gong) *
S
Shuijia Li
DOI:10.1109/TSMC.2023.3245212delete
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摘要

摘要

En 中文
Solving nonlinear equations (NEs) requires the algorithm to locate multiple roots of NEs in one run. In this article, a generic framework based on two-stage reinforcement learning (RL) and differential evolution (DE) is proposed to effectively deal with NEs problems. The major advantage of our approach are: 1) different niching methods and mutation strategies are integrated into the DE algorithm to assist evolution; 2) the diversity is maintained by utilizing the search characteristics of different niching methods at population level; 3) additionally, each individual is regarded as an agent, and three classical mutation strategies are used as the agent's alternative actions; and 4) different state settings and reward function can be easily integrated into this framework. To verify the performance of our approach, 30 problems and 18 new NEs are selected as the test suite. The experimental results demonstrate that RL can facilitate the algorithm and improve the problem-solving ability. Moreover, the proposed method also obtains competitive performance compared with other peer algorithms.
Keyword:
Statistics
Sociology
Optimization
Q-learning
Nonlinear equations
Diversity reception
Clustering algorithms
Differential evolution (DE)
nonlinear equations (NEs) systems
reinforcement learning (RL)

期刊

IEEE Transactions on Cybernetics 封面图
IEEE Transactions on Cybernetics
IF:
10.5
论文数:
1.1W
被引数:
5.0W

机构

C
China University of Geosciences
学者数:
3.7W
论文数: 2.8W
被引数: 4.3W
B
Beibu Gulf University
学者数:
1.4K
论文数: 858
被引数: 19
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