以反为基础的 Feed-forward 神经网络的优化,用于模拟复杂的非线性动态系统,使用新的 APSOBP 算法
Shobana R1, Rajesh Kumar2, Bhavnesh Jaint3
1Department of Electrical Engineering, Delhi Technological University, Shahbad Daulatpur, Main Bawana Road, Delhi 110042, India; Department of Electrical & Electronics Engineering, Galgotias College of Engineering and Technology, Greater Noida 201310, India.
ISA transactions
|October 8, 2025
概括
本研究介绍了一种混合的自适应粒子集群优化-反向传播 (APSO-BP) 算法,用于训练神经网络以识别非线性系统. 与传统算法相比,APSO-BP方法提高了合性和准确性.
科学领域:
- 人工智能的人工智能
- 机器学习 机器学习
- 计算神经科学是一种神经科学.
背景情况:
- 在各种科学领域中,识别非线性动态系统至关重要.
- 训练前神经网络经常面临诸如缓慢的融合和局部优化等挑战.
- 现有的优化算法可能无法充分解决非线性系统识别的复杂性.
研究的目的:
- 提出一种新的混合适应性粒子群优化-反向传播 (APSO-BP) 算法.
- 提高非线性动态系统识别前神经网络的培训效率和准确性.
- 通过动态参数调整和趋同分析,确保算法的稳定性和可靠性.
主要方法:
- 这是一种混合方法,它结合了粒子集群优化 (PSO) 进行初始重量优化和反向传播 (BP) 进行微调.
- 基于性能指数的PSO参数 (例如惯性重量) 的动态调整,以防止过早的趋同.
- 使用利亚普诺夫稳定性理论进行的收分析,以保证稳定的解决方案.
主要成果:
- 拟议的APSO-BP算法在传统的PSO和BP方法中表现出优越的性能.
- 在三个基准非线性问题上的实验验证证证了算法的有效性.
- 混合方法实现了更好的融合速度,更高的准确性和更好的稳定性.
结论:
- 新的混合APSO-BP算法在训练神经网络进行非线性系统识别方面取得了重大进展.
- 动态参数调整有效地克服了公共服务任务中过早的趋同问题.
- 该算法为复杂的非线性系统建模提供了稳定,准确和强大的解决方案.
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