期刊文献+

神经网络中处理鞍点的LMBP改进算法 被引量:4

Improvement Algorithm of Levenberg-Marquardt Back Propagation for Saddle Point in Neural Network
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摘要 针对目前神经网络中的Levenberg-Marquardt反向传播(LMBP)算法在训练过程中有可能迭代到鞍点的问题,提出一种能有效克服鞍点的LMBP改进算法。计算鞍点处雅克比矩阵的正特征值对应的特征向量并将其作为新的搜索方向。通过实例对比传统LMBP算法与改进LMBP算法的效果,证明改进的算法能有效地脱离鞍点并进一步收敛到极小点处。 Aiming at the Levenberg-Marquardt Back Propagation(LMBP) algorithm of neural network sometimes converges to the saddle point during training process,an improved LMBP algorithm which can overcome the saddle point effectively is proposed.All eigenvectors for all the positive eigenvalue of Jacobi matrix are calculated as new searching directions.The improved LMBP algorithm is proved that it can get out of saddle point,and it iterates to minima effectively by an example of comparing with the traditional LMBP algorithm and the improved one.
出处 《计算机工程》 CAS CSCD 2012年第23期173-176,180,共5页 Computer Engineering
基金 广东省教育部产学研结合基金资助项目(2009B090300393) 广州市软件(动漫)产业发展基金资助项目(2060404)
关键词 神经网络 Levenberg-Marquardt反向传播算法 鞍点 雅克比矩阵 海森矩阵 高斯-牛顿法 neural network Levenberg-Marquardt Back Propagation(LMBP) algorithm saddle point Jacobi matrix Hessian matrix Gauss-Newton algorithm
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  • 1McCulloch W,Pitts W.A Practical Calculus of The IdeasImmanent in Nervous Activity[J].Bulletin of MathematicalBiophysics,1943,5(4):115-133.
  • 2Yu Chien-Cheng,Liu Binda.A Backpropagation Algorithm withAdaptive Learning Rate and Momentum Coefficient[C]//Proc.ofInternational Joint Conference on Neural Networks.[S.l.]:IEEEPress,2002:1218-1223.
  • 3Bilski J,Rutkowski L.A Fast Training Algorithm for NeuralNetworks[J].IEEE Trans.on Circuits and Systems II:Analog andDigital Signal Processing,1998,45(6):749-753.
  • 4Meybodi M R,Beigy H.A Note on Learning Automata basedSchemes for Adaptation of BP Parameters[C]//Proc.of the 2ndInternational Conference on Intelligent Data Engineering andAutomated Learning,Data Mining,Financial Engineering,andIntelligent Agents.London,UK:Springer Verlag,2000:145-149.
  • 5Adawy M I,Aboul Wafa M E,Keshk H A,et al.A Softbackpropagation Algorithm for Training Neural Networks[C]//Proc.of the 19th National Radio Science Conference.[S.l.]:IEEE Press,2002:397-404.
  • 6Chen Y J,Huang T C,Hwang R C.An Effective Learning ofNeural Network by Using RFBP Learning Algorithm[J].International Journal on Informatics and Computer Science,2004,167(1-4):77-86.
  • 7Hagan M T,Demuth H B,Beale M H.神经网络设计[M].戴奎,等译.北京:机械工业出版社,2006.
  • 8薛毅.最优化原理与方法[M].北京:北京工业大学出版社,2008.
  • 9Hagan M T,Menhaj M.Training Feedforward Networks with TheMarquardt Algorithm[J].IEEE Trans.on Neural Networks,1994,5(6):526-535.
  • 10王晓明,亓学广,王霞.改进LMBP算法收敛速度的方法研究及仿真[J].电测与仪表,2008,45(9):21-24. 被引量:5

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