用平均场理论研究具有三阶输出函数的联想记忆

STUDY ON ASSOCIATIVE MEMORY OF 3RD OUTPUT FUNCTION USING MEANS FIELD THEORY

针对联想记忆器存在的根本的问题：除记忆的样本作为稳定状态外，还有伪状态出现，采用带有一个附加参数（即阈值）的三阶输出函数代替二阶输出函数；应用平均场理论研究该阈值在系统行为上有哪些效果，怎样选取该阈值使伪状态的吸引域达到最小；最后给出模拟结果来验证理论分析和综合的结果．

The fundamental problem of associative memory is the presence of the spurious state in addition to the problem of the memory sample as the stable state. The 2nd order output function is replaced by a 3rd order output function with an additional parameter, the threshold, in this paper. The mean field theory is applied to study the effects the threshold had on the system behavior and how the threshold is chosen so that the attraction region of the spurious state can be reduced to the minimum. The theoretical analysis and synthesis are verified by simulation results.