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The Learning Convergence of CMAC in Cyclic Learning 被引量:1

The Learning Convergence of CMAC in Cyclic Learning
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摘要 In this paper we discuss the learning convergence of the cerebellar model articulation controller (CMAC) in cyclic learning. We prove the following results. First, if the training samples are noiseless, the training algorithm converges if and only if the learning rate is chosen from (0, 2). Second, when the training samples have noises, the learning algorithm will converge with a probability of one if the learning rate is dynandcally decreased. Third, in the case with noises, with a small but fixed learning rate ε.the mean square error of the weight sequences generated by the CMAC learning algorithm will be bounded by O(ε). Some simulation experlinents are carried out totest these results. In this paper we discuss the learning convergence of the cerebellar model articulation controller (CMAC) in cyclic learning. We prove the following results. First, if the training samples are noiseless, the training algorithm converges if and only if the learning rate is chosen from (0, 2). Second, when the training samples have noises, the learning algorithm will converge with a probability of one if the learning rate is dynandcally decreased. Third, in the case with noises, with a small but fixed learning rate ε.the mean square error of the weight sequences generated by the CMAC learning algorithm will be bounded by O(ε). Some simulation experlinents are carried out totest these results.
作者 姚殊 张钹
出处 《Journal of Computer Science & Technology》 SCIE EI CSCD 1994年第4期320-328,共9页 计算机科学技术学报(英文版)
关键词 Neural network learning convergence CMAC cyclic learning probability Neural network, learning convergence, CMAC cyclic learning probability
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参考文献5

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同被引文献9

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  • 7Lu H C, Chang J C. Enhance the performance of CMAC neural network via fuzzy theory and credit apportionment [A]. Proceedings of the 2002 International Joint Conference on Neural network [C].Honolulu, HI, USA: IEEE, 2002. 715-720.
  • 8刘慧,许晓鸣,张钟俊.小脑模型神经网络改进算法的研究[J].自动化学报,1997,23(4):482-488. 被引量:12
  • 9何超,徐立新,张宇河.CMAC算法收敛性分析及泛化能力研究[J].控制与决策,2001,16(5):523-529. 被引量:29

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