The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Storing Infinite Numbers of Patterns in a Spin-Glass Model of Neural Networks
Abstract
The Hopfield model for a neural network is studied in the limit when the number $p$ of stored patterns increases with the size $N$ of the network, as $p=\ensuremath{\alpha}N$. It is shown that, despite its spin-glass features, the model exhibits associative memory for $\ensuremath{\alpha}<{\ensuremath{\alpha}}_{c}$, ${\ensuremath{\alpha}}_{c}\ensuremath{\gtrsim}0.14$. This is a result of the existence at low temperature of $2p$ dynamically stable degenerate states, each of which is almost fully correlated with one of the patterns. These states become ground states at $\ensuremath{\alpha}<0.05$. The phase diagram of this rich spin-glass is described.
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Citations
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
Hopfield, J. J. (1984) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.81.10.3088 · Cited by 6,918
Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
Cited by
Computing with Neural Circuits: A Model
Hopfield, J. J., & Tank, D. W. (1986) · Science · doi:10.1126/science.3755256 · Cited by 2,116
Rammal, R., Toulouse, G., & Virasoro, M. A. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.765 · Cited by 756
Associative recall of memory without errors
Kanter, I., & Sompolinsky, H. (1987) · Physical Review A · doi:10.1103/physreva.35.380 · Cited by 379
Self-citationTheta-paced flickering between place-cell maps in the hippocampus
Jezek, K., Henriksen, E. J., Treves, A., Moser, E. I., & Moser, M.-B. (2011) · Nature · doi:10.1038/nature10439 · Cited by 359
Maximum Storage Capacity in Neural Networks
Gardner, E. (1987) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/4/4/016 · Cited by 353
Metadata
- Authors
- Amit, D. J., Gutfreund, H., & Sompolinsky, H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-09-30
- Volume
- 55
- Issue
- 14
- Pages
- 1530-1533
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2080792322
- Cited by
- 1,058
- References
- 3
- FWCI
- 23.43
- Type
- journal article
- Language
- en
- Open access
- closed
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- Amit, D. J., Gutfreund, H., & Sompolinsky, H. (1985). Storing Infinite Numbers of Patterns in a Spin-Glass Model of Neural Networks. Physical Review Letters. https://doi.org/10.1103/physrevlett.55.1530
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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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