| 引用本文： |
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周永权,戴祯杰.代数超曲面神经元的空间几何分析及其代数表示理论[J].广西科学院学报,2002,(2):49-52. [点击复制]
- Zhou Yongquan,Dai Zhenjie.Algebra Expression Method and Space Geometry Analysis of Algebra Hyper-curve Neurons[J].Journal of Guangxi Academy of Sciences,2002,(2):49-52. [点击复制]
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| 摘要: |
| 在研究M-P神经元模型的几何意义基础上,从代数簇的观点出发,分析M-P神经元模型的代数本质,提出1种代数超曲面神经元模型;从多维代数和空间几何分析的观点出发,刻画和描述出代数超曲面神经元模型的数学实质,给人们研究高阶神经网络系统的空间几何理论及其多维代数表示理论奠定了基础. |
| 关键词: 神经元 代数超曲面神经元 空间几何 代数表示 |
| DOI： |
| 投稿时间：2002-02-02修订日期：2002-03-18 |
| 基金项目:广西自然科学基金资助项目[桂科基0141034]。 |
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| Algebra Expression Method and Space Geometry Analysis of Algebra Hyper-curve Neurons |
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Zhou Yongquan1, Dai Zhenjie2
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| (1.Dept. of Math. and Comp. Sci., Guangxi University for Nationalities, Nanning, 530006;2.Dept. of Math., Guangxi Pedagogical College, Nanning, 530023) |
| Abstract: |
| On the base of the geometrical presentation of M-P neurons model combining algebra cluster knowledge,a new algebra hyper curve neurons model is released to depict the algebra essence of M-P neurons model. The algebra hyper curve neurons model would take more contribution to the development of the neural networks and the research of nonlinear neural networks and expression of high dimensional algebra theoretically. |
| Key words: neurons algebra hyper curve neurons geometrical space algebra expression |
