[1] |
Zhang Ling, Zhang Bo. The analysis of BP algorithm in neural network[J]. Pattern Recognition and Artificial Intelligence, 1994, 7(3):191195. (in Chinese)
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Wang Xuefeng, Feng Yingjun. A new training algorithm in multilayer neural network [J]. Journal of Harbin Institute of Technology, 1997, 29(2):2325. (in Chinese)
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Wang X F, Feng Y J, Zhao X. A single parameter dynamic searching algorithm for multilayer neural networks (Part I)[J]. International Journal of Innovative Computing, Information and Control, 2008, 4 (9):22212233.
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Wang X F, Zhao X, Feng Y J. A single parameter dynamic searching algorithm for multilayer neural networks (Part II)[J]. International Journal of Innovative Computing, Information and Control, 2008, 4 (11):29412954.
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Feng Yingjun, Zhang Shaozhong, Wang Xuefeng, et al. Cause for paralysis of BP network[J]. Journal of Harbin Institute of Technology, 2000, 32(5):8183. (in Chinese)
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Zhang Shaozhong, Feng Yingjun, Wang Xuefeng, et al. A new algorithm of multilayer feedforward neural networks based on single parameter coordinate rotatory method[J]. Acta Electronica Sinica, 1999, 27(2):115116. (in Chinese)
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Zhang Shaozhong, Feng Yingjun. Generalization and fault tolerance of single parameter dynamic search algorithm[J]. Journal of Harbin Institute of Technology, 2000, 32(6):14. (in Chinese)
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[8] |
Zhang Shaozhong, Feng Yingjun. Robustness of SPDS algorithm for BP network [J]. Journal of Harbin Institute of
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Table 2Training results of SPDS and refrence[9] about geological data analysis表2地质数据分析的SPDS算法训练结果与文献[9]的结果对比编号SiO2CaOMgOAl2O3K2ONa2OMoSPDS
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训练结果线性回归
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结果[7] |
173.740.330.8210.755.200.580.0770.0690.101272.730.581.1411.975.480.890.0700.0780.131372.441.621.4510.884.800.140.2270.2270.186477.420.520.548.634.360.400.0430.0470.065580.420.220.717.864.130.220.0450.0560.070682.790.200.316.633.400.160.0410.0250.016776.230.520.569.725.380.360.0620.0780.107877.421.430.708.224.500.080.0730.0760.123976.630.770.829.264.430.530.1070.0960.0911072.931.100.9310.595.380.300.2290.2210.1501172.020.711.0111.855.381.250.1570.1530.1081271.281.371.0511.504.830.360.2220.2230.1401368.101.660.9014.664.104.010.0110.005-0.0231470.861.300.1413.615.202.320.0070.0100.0171568.511.500.8914.294.263.160.0050.0050.0071666.442.081.1213.764.042.050.0170.0210.0691768.961.280.8014.114.192.860.0190.0050.0021867.121.000.7914.614.132.710.003-0.002-0.0081971.081.020.5113.295.351.570.006-0.0010.0672068.461.980.9314.133.943.740.0050.006-0.0072167.382.060.8813.433.754.010.0000.006-0.0272266.542.201.3515.193.483.860.0220.0050.0052365.631.481.7615.223.634.010.0000.0090.0112464.892.541.3515.503.194.040.0000.005-0.0052569.201.950.5613.763.502.540.0000.011-0.0102661.983.191.9515.163.083.720.0010.0080.063Table 3Training results of neural network (weights and thresholds)表3网络训练结果(阈值和权值)阈值输入层
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单元一权值输入层
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单元二权值输入层
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单元三权值输入层
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单元四权值输入层
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单元五权值输入层
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单元六权值隐层单元一-2.330e+009.602e-03 -3.613e+005.826e+00-3.320e-011.063e-01-1.613e+00隐层单元二-2.811e+00-2.360e-011.668e-011.216e-01-2.988e-023.588e-01-1.614e+00隐层单元三-2.865e+001.090e-01 -5.638e+004.740e+00-4.330e-01 -4.319e-01-7.465e+00隐层单元四-5.081e-012.699e-011.369e+001.256e+000.000e+000.000e+000.000e+00隐层单元五0.000e+002.908e-01 6.403e-020.000e+001.202e-010.000e+000.000e+00隐层单元六8.735e-01-1.633e-01-6.285e-011.239e+006.409e-015.523e-01-1.882e+00阈值隐层
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单元一权值隐层
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单元二权值隐层
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单元三权值隐层
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单元四权值隐层
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单元五权值隐层
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单元六权值输出层单元-3.156e-022.252e-011.168e+05-1.954e-01-2.716e-021.355e-03-3.092e+00Technology, 2000, 32(2):6061. (in Chinese)
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[9] |
Xu Z B,Lou Y R,Jin C H.All regression analysis and optimization method and the application in geology[M]. Beijing:Geology Press, 1990.(in Chinese)
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[10] |
Hornik K. Some new results on neural network approximation [J]. Neural Networks, 1993, 4(6):10691072.
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附中文参考文献:
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[1] |
张铃,张钹. 神经网络中BP算法的分析[J]. 模式识别与人工智能,1994,7 (3):191195.
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[2] |
王雪峰,冯英浚. 多层神经网络的一种新的学习算法[J]. 哈尔滨工业大学学报,1997, 29 (2):2325.
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冯英浚, 张少仲, 王雪峰, 等. BP网络瘫痪的原因分析[J]. 哈尔滨工业大学学报, 2000, 32 (5):8183.
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张少仲, 冯英浚, 王雪峰, 等. 基于单参数坐标轮换法的多层前馈型神经网络的一种新型算法[J]. 电子学报, 1999, 27 (2):115116.
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张少仲, 冯英浚. 单参数动态搜索算法的泛化与容错能力[J]. 哈尔滨工业大学学报, 2000, 32 (6):14.
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张少仲, 冯英浚. BP网络的SPDS训练算法的鲁棒性[J]. 哈尔滨工业大学学报, 2000, 32 (2):6061.
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[9] |
徐振邦,娄元仁,金淳浩.全部回归分析与优选方法及其在地质学中的应用[M]. 北京:地质出版社,1990.
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