全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

多值多门限神经元函数的相关性和频谱分析

Keywords: 多值多门限,神经元,相关性,频谱

Full-Text   Cite this paper   Add to My Lib

Abstract:

为衡量单个多值多门限神经元的计算能力,引入了与多值多门限神经元函数有关的2个代数几何概念:相关性和扩展频谱.利用相关性,给出对于一组固定的输入函数,不同输出函数个数的上限.利用扩展频谱,给出为了使得神经元能够计算任意输出函数,所需输入函数个数的下限.这2个界限,给出了单个多值多门限神经元的计算能力.同时,输入函数个数的下限,给出了当用多值多门限神经元组成的三层前馈神经网络实现任意多值函数时,网络复杂度的下限.

References

[1]  NGOM A,STOJMENOVIC I,MILUTINOVIC V.STRIP:a strip-based neural-network growth algorithm for learning multiple-valued functions[J].IEEE Transactions on Neural Networks,2001,12(2):212-227.
[2]  YOUNG S,DOWNS T.CARVE:a constructive algorithm for real-valued examples[J].IEEE Transactions on Neural Networks,1998,9(6):1180-1190.
[3]  ANTHONY M.Learning multivalued multithreshold functions[R].London:London School of Economics,2003:1-32.
[4]  OJHA P.Enumeration of linear threshold functions from the lattice of hyperplane intersections[J].IEEE Transactions on Neural Networks,2000,11(4):839-850.
[5]  JIANG Nan,YANG Yi-xian,MA Xiao-min,et al.Using three layer neural network to compute multi-valued functions[C] //Proceedings of Fourth International Symposium on Neural Networks,PartⅢ,LNCS 4493.Nanjing:Springer,2007: 1-8.
[6]  WANG Jian,YANG Yi-xian,J IANG Nan,et al.Using three layer neural networks to compute discrete real functions[C] //Proceedings of 3rd International Conference on Natural Computation,Vol.1.Haikou:IEEE Computer Society Conference Publishing Services,2007:446-450.
[7]  王守觉.多值和多阈值神经元及其网络组合与应用[J].电子学报,1996,24(5):1-6. WANG Shou-jue.Multi-valued neuron and multi-thresholded neuron:their combinations and applications[J].Acta Electronica Sinica,1996,24(5):1-6.(in Chinese)
[8]  SIU K,ROYCHOWDHURY V,KAILATH T.Discrete neural computation:a theoretical foundation[M].Englewood Cliffs,NJ:Prentice-Hall,1995.
[9]  ZHANG Zhao-zhi,MA Xiao-min,YANG Yi-xian.A unified method to construct neural network decoders for arbitrary codes and decoding rules[J].Discrete Mathematics,2001,238:171-181.
[10]  ZHANG Zhao-zhi,MA Xiao-min,YANG Yi-xian.Bounds on the number of hidden neurons in three-layer binary neural networks[J].Neural Networks,2003,16:995-1002.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133