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$O(2)$ -Valued Hopfield Neural Networks.
- Source :
- IEEE Transactions on Neural Networks & Learning Systems; Dec2019, Vol. 30 Issue 12, p3833-3838, 6p
- Publication Year :
- 2019
-
Abstract
- In complex-valued Hopfield neural networks (CHNNs), the neuron states are complex numbers whose amplitudes are: 1) they can also be described in special orthogonal matrices of order and 2) here, we propose a new Hopfield model, the $O(2)$ -valued Hopfield neural network [ $O(2)$ -HNN], whose neuron states are extended to orthogonal matrices. Its neuron states are embedded in 4-D space, while those of CHNNs are embedded in 2-D space. Computer simulations were conducted to compare the noise tolerance (NT) and storage capacity (SC) of CHNNs, $O(2)$ -HNNs, and rotor Hopfield neural networks. In terms of SC, $O(2)$ -HNNs outperformed the others, while in NT, they outdid CHNNs. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOPFIELD networks
COMPLEX numbers
BIOLOGICAL neural networks
Subjects
Details
- Language :
- English
- ISSN :
- 2162237X
- Volume :
- 30
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Neural Networks & Learning Systems
- Publication Type :
- Periodical
- Accession number :
- 140336715
- Full Text :
- https://doi.org/10.1109/TNNLS.2019.2897994