Zo. Wang, A BIDIRECTIONAL ASSOCIATIVE MEMORY-BASED ON OPTIMAL LINEAR ASSOCIATIVE MEMORY, I.E.E.E. transactions on computers, 45(10), 1996, pp. 1171-1179
A new bidirectional associative memory is presented. Unlike many exist
ing BAM algorithms, the presented BAM uses an optimal associative memo
ry matrix in place of the standard Hebbian or quasi-correlation matrix
. The optimal associative memory matrix is determined by using only si
mple correlation learning, requiring no pseudoinverse calculation. Gua
ranteed recall of all training pairs is ensured by the present BAM. Th
e designs of a linear DAM (LBAM) and a nonlinear BAM (NBAM) are given,
and the stability and other performances of the BAMs are analyzed, Th
e introduction of a nonlinear characteristic enhances considerably the
ability of the BAM to suppress the noises occurring in the output pat
tern, and reduces largely the spurious memories, and therefore improve
s greatly the recall performance of the DAM. Due to the nonsymmetry of
the connection matrix of the network, the capacities of the present B
AMs are far higher than that of the existing BAMs. Excellent performan
ces of the present BAMs are shown by simulation results.