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Bidirectional associative memories
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
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Cites
Neural networks and physical systems with emergent collective computational abilities.
Hopfield, J. J. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.8.2554 · Cited by 19,270
A logical calculus of the ideas immanent in nervous activity
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Hopfield, J. J. (1984) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.81.10.3088 · Cited by 6,918
A massively parallel architecture for a self-organizing neural pattern recognition machine
Carpenter, G. A., & Grossberg, S. (1987) · Computer Vision, Graphics, and Image Processing · doi:10.1016/s0734-189x(87)80014-2 · Cited by 2,525
Kohonen, T. (1977) · Communication and Cybernetics · doi:10.1007/978-3-642-96384-1 · Cited by 469
Cited by
Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
Cao, J., & Wang, J. (2003) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/tcsi.2002.807494 · Cited by 555
(1997) · Elsevier eBooks · doi:10.1016/b978-0-12-526430-3.x5000-4 · Cited by 290
Wang, W., Wang, X., Luo, X., & Yuan, M. (2018) · IEEE Access · doi:10.1109/access.2018.2872745 · Cited by 44
Metadata
- Authors
- Kosko, B.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics
- Published
- 1988
- Volume
- 18
- Issue
- 1
- Pages
- 49-60
- ISSN
- 0018-9472 (ISSN-L)
- OpenAlex
- W2095425517
- Cited by
- 2,070
- References
- 5
- FWCI
- 38.10
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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