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一种概率映射网络的EM训练算法

熊汉春 贺前华 李海洲

熊汉春, 贺前华, 李海洲. 一种概率映射网络的EM训练算法[J]. 电子与信息学报, 1999, 21(2): 175-181.
引用本文: 熊汉春, 贺前华, 李海洲. 一种概率映射网络的EM训练算法[J]. 电子与信息学报, 1999, 21(2): 175-181.
Xiong Hanchun, He Qianhua, Li Haizhou. AN EFFICIENT EM TRAINING ALGORITHM FOR PROBABILITY MAPPING NETWORKS[J]. Journal of Electronics and Information Technology, 1999, 21(2): 175-181.
Citation: Xiong Hanchun, He Qianhua, Li Haizhou. AN EFFICIENT EM TRAINING ALGORITHM FOR PROBABILITY MAPPING NETWORKS[J]. Journal of Electronics and Information Technology, 1999, 21(2): 175-181.

一种概率映射网络的EM训练算法

AN EFFICIENT EM TRAINING ALGORITHM FOR PROBABILITY MAPPING NETWORKS

  • 摘要: 文中提出一种概率映射网络(PMN)的EM(Expectation Maximization)训练算法。PMN为一个四层前馈网。它构成一个贝叶斯分类器,实现多类分类的贝叶斯判别,把输入的样本模式经网络变换为输出的分类判决,其网络节点对应于贝叶斯后验概率公式的各个变量。 此PMN用高斯核函数作为密度函数,网络参数训练由EM算法实现,其学习方式为类间的监督学习和类内的非监督学习。最后的实验表明此网络及其学习算法在分类应用中的有效性。
  • Lee A S, IGl R M. A Gaussian potential function network with hierarchically self-organizing learning. Neural Networks, 1991 4(1): 207-224.[2] Speht P F. Probabilistic neural networks. Neural Networks, 1990, 3(1): 109-118.[2]Ma Sheng, Ji Chuanyi, Farmer J. An efficient EM-based training algorithm for feedforward neural networks. Neural Networks, 1997, 10(2), 243-256.[4] Streit R L, Luginbahl T E Maximum likelihood training of probabilistic neural networks. IEEE Trans. on NN, 1994, NN-5(5): 764-783.[3]Traven G C. A neural network approach to statistical pattern classfication by semi-parametric estimation of probability density function. IEEE Trans. on NN, 1991, NN-2(3): 366-377.[4]Dempster A P, Laird N M, Rubin D R. Maximum likelihood from incomplete date via the EM algorithm. J. Royal Statiscal Sac.,Ser. B, 1977; 39(1): 1-38.[7] Liporace L A. Maximum likelilood estimation for multivariate observations of Markov sources. IEEE Trans. on IT, 1982, IT-28(5): 729-734.[8] Wu J, Chan C. Isolated word recogontion by neural network models with crosscorrelation coef- ficient for speech recognition. IEEE Trans. on PAMI, 1993, PAMI-15(11): 1174-1185.
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出版历程
  • 收稿日期:  1997-08-25
  • 修回日期:  1998-08-15
  • 刊出日期:  1999-03-19

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