复值多状态双向联想记忆神经网络

Complex Valued Multistate Bidirectional Associative Memory

离散但非二值状态将提供一种更好的信息表达方式．本论文中，我们将复符号操作子（ｃｏｍｐｌｅｘｓｉｇｎｕｍｏｐｅｒａｔｉｏｎ）和双向联想记忆（ＢｉｄｉｒｅｃｔｉｏｎａｌＡｓｏｃｉａｔｉｖｅＭｅｍｏｒｙ，ＢＡＭ）结合起来并提出了一种非二值ＢＡＭ，即复值多状态双向联想记忆神经网络（ＣｏｍｐｌｅｘＶａｌｕｅｄＭｕｌｔｉｓｔａｔｅＢｉｄｉｒｅｃｔｉｏｎａｌＡｓｏｃｉａｔｉｖｅＭｅｍｏｒｙ，ＣＶＭＢＡＭ）．在我们提出的编码体系下，证明了此复值多状态双向联想记忆神经网络是稳定的，无论其连接权矩阵如何．

Discrete but nonbinary state values would offer an advantageour representation of information.The concept of complex signum operation and the concept of Bidirectional Associative Memory (BAM)are combined and a nonbinary BAM is developed,i.e.,Complex Valued Multistate Bidirectional Associative Memory (CVMBAM).Under the encoding scheme we prove that CVMBAM is stable whatever the synaptic connection weight matrix is.