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一种新型的混沌BP混合学习算法

A new chaos BP hybrid learning algorithm

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【作者】 李祥飞邹恩张泰山

【Author】 LI Xiangfei1,2,ZOU En1,2,ZHANG Taishan1 (1.College of Information Science and Engineering, Central South University, Changsha 410083, China; 2.Zhuzhou Institute of Technology, Zhuzhou 412008, China)

【机构】 中南大学信息科学与工程学院中南大学信息科学与工程学院 湖南长沙410083株洲工学院电气工程系湖南株洲412008湖南长沙410083

【摘要】 将一种新的快速BP(FBP)算法和混沌优化相结合,提出了混沌BP算法(CBP算法).FBP算法吸收了误差函数的非线性信息,大大加快了BP算法的收敛速度,但它仍然采用梯度下降法,不可避免地存在局部极小的缺陷.混沌动力学具有遍历性、随机性的特点.能在一定范围内按其自身规律不重复地遍历所有状态,将混沌优化搜索引入FBP算法中,形成一种新型的混沌BP算法.它既能较快地局部收敛,又能全局收敛,避免了陷入局部极小的可能性.CBP算法为多层前馈网络的全局性收敛学习提供了一种有效的方法.

【Abstract】 Owing to slow convergence speed and local minimum for SBP algorithm, a hybrid chaosBP algorithm is proposed by means of new fast BP algorithm and chaos optimization together. In new BP algorithm ,nonlinear function information of neural network output error is adopted, so it has faster partial convergence speed than that of general BP algorithm, but gradient descend method is used in FBP, which brings about local minimum problem. Due to no repetition and random of chaos dynamics, chaos searching is imported to FBP and new chaos BP algorithm is constructed , it has fast partial convergence speed and global convergence, no local minimum. CBP algorithm is applied to XOR problem and nonline function approximation. Simulation results show that performances of the CBP algorithm exceed that of the SBP and FBP in the reduction of total number of iteration and learning time. CBP algorithm is very effective to approach global convergence learning for multiplayer feedforward neural networks.

【基金】 湖南省自然科学基金资助项目(01JJY3029)
  • 【文献出处】 中南工业大学学报(自然科学版) , 编辑部邮箱 ,2003年05期
  • 【分类号】TP183
  • 【被引频次】10
  • 【下载频次】198
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