双向联想记忆中的互余编码问题

Complement Encoding Problem of Bidirectional Associative Memory

互余编码及连续性要求对双向联想记忆的容量及回忆有着很大影响，Ｓｉｍｐｓｏｎ，Ｊｅｎｇｅｔ．ａｌ．提出了各自的解决方法（ＩＢＡＭ，ＭＩＢＡＭ），他们的方案的实质就是增加层内神经元间的连接，本文首先证明了ＩＢＡＭ没能解决互余编码问题，借助计算机模拟发现ＭＩＢＡＭ容量也非常有限，且只是在一定程度上能克服互余编码，通过对ＭＩＢＡＭ引入高阶，我们提出了ＨＯＭＩＢＡＭ，它能有效地解决前述两问题。

The complement encoding problem and continuous assumption have a great influence on the capacity and recall of bidirectional associative memroy.Simpson and Jeng et.al.presented their respective methods(IBAM,MIBAM) to relax these reqirements.The main idea of IBAM is to add intraconnection in BAM.So is MIBAM.In this paper,we firstly proved that IBAM couldn't solve complement encoding problem.Then,with the help of computer simulation,we have showed that the capacity of MIBAM is very small,and MIBAM could relax complement encoding to some extent.By introducing higher order to MIBAM,we present a model called HOMIBAM.It can solve the previous two problems successfully,so it has a high capacity and satisfactory recalling performance.