一类离散Hopfield网络的吸引特性研究
APPROACHES ON ATTRACTION CHARACTORISTICS OF A KIND OF DISCRETE HOPFIELD NETWORKS
-
摘要: 该文以n维超立方体为大规模局域连接模型的离散Hopfield网络(简称An网)为研究对象,深入讨论了这种网络的吸引特性,包括吸引子/吸引环的结构和吸引半径等,得出了具有相同结构的吸引子/吸引环具有相同的吸引特性和吸引半径,并给出了它们的吸引半径;进一步地,本文将上述讨论扩展到较为一般的离散Hopfield网络,讨论了它们的吸引子/吸引环与An网的吸引子/吸引环相同(或部分相同)的条件,以及相应的吸引子/吸引环的吸引半径,得出了迁移越大,保留An网吸引子/吸引环的数目越少,且吸引半径越小的结论。Abstract: This paper studies the attraction characteristics of a kind of symmetric discrete Hopfield neural networks, the network with ri-cube as its structure and connection situation, called n-cube network. The structure of the attraction states/cycles and their attraction diameters are explored. The result is that the attraction region is of same size and so is the attraction diameters for the attraction states/cycles with same attraction structure. Furthermore, the above result is extended to a more general asymmetric discrete Hopfield network and the conditions for the network to be (or partially to be) with the same attraction states/cycles as those of n-cube network are studied, and its attraction diameters are presented.
-
许进,保铮,超立方体的谱,工程数学学报,1999,16(4),1-5.[2]汪云九,神经信息的编码,97中国神经计算大会论文集(CCNS97),武汉,1997,Vol.1,32-37[3]张军英,许进,保铮,一类离散Hopfield网络的吸引状态的特征分析,电子与信息学报,2001,23(7),677 686[4]阎平凡,黄端旭,人工神经网络-模型,分析与应用,合肥安徽教育出版社,1991年,第三章[5]董继扬,徐慎初,王新明,均匀分类DHNN的几何描述,97中国神经计算大会论文集(CCNS97),武汉,1997.Vol.2.288-292.[6]张军英,许进,保铮,Hopfield网络的关联分析,自动化学报,1997,23(4),446-454.[7]廖晓昕,昌莉,离散Hopfield神经网络的稳定性研究,自动化学报,1999,25(6),721-727 ［8］F. Luccio, L. Pagli, On a new Boolean function with applications, IEEE Trans. on Computers,1999, 48(3), 296-310.[8]董继扬,徐慎初,可用几何方法描述分类性能的神经网络的构造,神经网络理论与应用研究96,成都,西南交通大学出版社,1996,129-133.[9]J.J. Hopfield, Neural networks and physical system with emergent collective computer abilities,Proc. Natl. Acad. USA, 1982, 79(4), 2554-2558. -
计量
- 文章访问数: 1970
- HTML全文浏览量: 122
- PDF下载量: 449
- 被引次数: 0
下载:
