It also can use to reduce the computing freedoms of the weight matrix in associative memory designing by applying the symmetry relations of the network . regarding the artificial neural network as a dynamical system with symmetry will bring the corresponding geometric approach 利用这种对称性关系，既可以揭示“学习就是寻找样本集对称性”这一学习的内涵，又可以在联想记忆网络的分析与设计中减小连接权计算的复杂度。
