Bidirectional associative memories

1988 IEEE Transactions on Systems Man and Cybernetics 2,039 citations

Abstract

Stability and encoding properties of two-layer nonlinear feedback neural networks are examined. Bidirectionality is introduced in neural nets to produce two-way associative search for stored associations. The bidirectional associative memory (BAM) is the minimal two-layer nonlinear feedback network. The author proves that every n-by-p matrix M is a bidirectionally stable heteroassociative content-addressable memory for both binary/bipolar and continuous neurons. When the BAM neutrons are activated, the network quickly evolves to a stable state of two-pattern reverberation, or resonance. The stable reverberation corresponds to a system energy local minimum. Heteroassociative information is encoded in a BAM by summing correlation matrices. The BAM storage capacity for reliable recall is roughly m<min (n,p). It is also shown that it is better on average to use bipolar (-1,1) coding than binary

Keywords

Bidirectional associative memoryContent-addressable memoryAssociative propertyEncoding (memory)Artificial neural networkComputer scienceCoding (social sciences)Binary numberContent-addressable storageStability (learning theory)ReverberationNonlinear systemTopology (electrical circuits)MathematicsArtificial intelligenceArithmeticPhysicsAcousticsCombinatoricsPure mathematics

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Publication Info

Year
1988
Type
article
Volume
18
Issue
1
Pages
49-60
Citations
2039
Access
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Bart Kosko (1988). Bidirectional associative memories. IEEE Transactions on Systems Man and Cybernetics , 18 (1) , 49-60. https://doi.org/10.1109/21.87054

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DOI
10.1109/21.87054