The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Characteristics of Random Nets of Analog Neuron-Like Elements
Abstract
The dynamic behavior of randomly connected analog neuron-like elements that process pulse-frequency modulated signals is investigated from the macroscopic point of view. By extracting two statistical parameters, the macroscopic state equations are derived in terms of these parameters under some hypotheses on the stochastics of microscopic states. It is shown that a random net of statistically symmetric structure is monostable or bistable, and the stability criteria are explicitly given. Random nets consisting of many different classes of elements are also analyzed. Special attention is paid to nets of randomly connected excitatory and inhibitory elements. It is shown that a stable oscillation exists in such a net-in contrast with the fact that no stable oscillations exist in a net of statistically symmetric structure even if negative as well as positive synaptic weights are permitted at a time. The results are checked by computer-simulated experiments.
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Citations
Cites
Properties of a mass of cells capable of regenerating pulses
Beurle, R. L. (1956) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1956.0012 · Cited by 380
Principles of neurodynamics: Yu. G. Antomonov
Ivakhnenko, A. G. (1976) · Cybernetics · doi:10.1007/bf01071380 · Cited by 318
Tests on a cell assembly theory of the action of the brain, using a large digital computer
Rochester, N., Holland, J., Haibt, L., & Duda, W. (1956) · IEEE Transactions on Information Theory · doi:10.1109/tit.1956.1056810 · Cited by 303
Anninos, P. A., Beek, B., Csermely, T. J., Harth, E. M., & Pertile, G. (1970) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(70)80036-4 · Cited by 167
Brain functions and neural dynamics
Harth, E. M., Csermely, T. J., Beek, B., & Lindsay, R. D. (1970) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(70)80035-2 · Cited by 158
Characteristics of randomly connected threshold-element networks and network systems
Амари, Ш.-И. (1971) · Proceedings of the IEEE · doi:10.1109/proc.1971.8087 · Cited by 152
Maintained Activity in Neural Nets
Smith, D. R., & Davidson, C. H. (1962) · Journal of the ACM · doi:10.1145/321119.321124 · Cited by 50
Cited by
Dynamics of pattern formation in lateral-inhibition type neural fields
Amari, S.-I. (1977) · Biological Cybernetics · doi:10.1007/bf00337259 · Cited by 2,060
Zhang, K. (1996) · The Journal of Neuroscience · doi:10.1523/jneurosci.16-06-02112.1996 · Cited by 1,001
Chaos in random neural networks
Sompolinsky, H., Crisanti, A., & Sommers, H. J. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.259 · Cited by 1,061
Generalization of back-propagation to recurrent neural networks
Pineda, F. J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2229 · Cited by 931
Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements
Amari, S.-I. (1972) · IEEE Transactions on Computers · doi:10.1109/t-c.1972.223477 · Cited by 474
Metadata
- Authors
- Amarimber, S.-I.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics
- Published
- 1972-11
- Volume
- SMC-2
- Issue
- 5
- Pages
- 643-657
- ISSN
- 0018-9472 (ISSN-L)
- 2168-2909
- OpenAlex
- W2075510082
- Cited by
- 300
- References
- 7
- FWCI
- 3.71
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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