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神经网络平衡点存在唯一的充要条件 被引量:2

Sufficient and Necessary Conditions for Existence and Uniqueness of Equilibrium Point of Neural Networks
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摘要 针对一类广泛的激活函数 ,利用矩阵理论 ,建立了相应的Hopfield神经网络平衡点存在唯一的充要条件 .同时 ,也给出相应的离散神经网络平衡点存在唯一的充要条件 .比较现有的文献 。 For a type a more general active functions,applied matrix theory,some sufficient and necessary conditions for existence and uniqueness of equilibrium point of correspondent continuous Hopfield neural networks have been set up.And the correspondent conditions for discrete neural networks have been given also.Comparing with existed references,the conclusions in this paper can suit for more general neural networks.
作者 沈轶 聂强
出处 《应用数学》 CSCD 北大核心 2004年第1期160-163,共4页 Mathematica Applicata
基金 国家自然科学基金资助项目 (6 0 2 74 0 0 7 6 0 0 74 0 0 8) 高校博士点基金 (2 0 0 1 0 4 870 0 5 )联合资助
关键词 人工神经网络 平衡点 存在性 唯一性 激活函数 权矩阵 Continuous neural networks Discrete neural networks Equilibrium point
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参考文献8

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共引文献46

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