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均匀分类DHNN结构的对称性
引用本文:董继扬,徐慎初,吴伯僖.均匀分类DHNN结构的对称性[J].厦门大学学报(自然科学版),2000,39(1):46-51.
作者姓名:董继扬  徐慎初  吴伯僖
作者单位:厦门大学物理学系,福建,厦门,361005
摘    要:研究了经特定非线性函数剪切后能够均匀分类的DHNN的拓扑结构,并在欧氏空间中对它进行几何比,实验表明,几何化后的拓扑结构图具有旋转对称唾这种对称性与网络连接矩阵的置换对称性是一致的,因此,我们可以借助这种几种几何结构图来研究网络的对称性及其相关的问题。

关 键 词:神经网络  DHNN  几何结构图  均匀分类  对称性
修稿时间:1999-07-01

The Symmetry of the Structure of DHNN with Even Classification
DONG Ji-yang,XU Shen-chu,WU Bo-xi.The Symmetry of the Structure of DHNN with Even Classification[J].Journal of Xiamen University(Natural Science),2000,39(1):46-51.
Authors:DONG Ji-yang  XU Shen-chu  WU Bo-xi
Abstract:The topological structure of the evenly classified DHNN whose synaptic matrix is clipped by a non linear function is studied and geometrized in Euclidean space. In this way, we can see that the visualized structure of the evenly classified network is rotational symmetric. And the rotational symmetry of the geometrized structure graph is coincident with the permutation symmetry of the synaptic matrix of the network, so we can calculate symmetry of the network with the geometrized structure graph.
Keywords:Discrete Hopfield Neural Network (DHNN)  geometrized structure graph  even classification  symmetry
本文献已被 CNKI 维普 万方数据 等数据库收录!
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