<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we investigate the stability of patterns embedded as the associative memory distributed on the complex-valued Hopfield neural network, in which the neuron states are encoded by the phase values on a unit circle of complex plane. As learning schemes for embedding patterns onto the network, projection rule and iterative learning rule are formally expanded to the complex-valued case. The retrieval of patterns embedded by iterative learning rule is demonstrated and the stability for embedded patterns is quantitatively investigated.</p></abstract>

In this paper, we investigate the stability of patterns embedded as the associative memory distributed on the complex-valued Hopfield neural network, in which the neuron states are encoded by the phase values on a unit circle of complex plane. As learning schemes for embedding patterns onto the network, projection rule and iterative learning rule are formally expanded to the complex-valued case. The retrieval of patterns embedded by iterative learning rule is demonstrated and the stability for embedded patterns is quantitatively investigated.

Complex-Valued Associative Memories with Projection and Iterative Learning Rules

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Complex-Valued Associative Memories with Projection and Iterative Learning Rules"}

In this paper, we investigate the stability of patterns embedded as the associative memory distributed on the complex-valued Hopfield neural network, in which...

Complex-Valued Associative Memories with Projection and Iterative Learning Rules

Published Online: Feb 09, 2018

Page range: 237 - 249

Received: Oct 16, 2017

Accepted: Oct 14, 2017

DOI: https://doi.org/10.1515/jaiscr-2018-0015

Keywords
complex-valued neural networks, associative memory, projection

© 2018 Teijiro Isokawa et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Complex-Valued Associative Memories with Projection and Iterative Learning Rules

Published Online: Feb 09, 2018

Page range: 237 - 249

Received: Oct 16, 2017

Accepted: Oct 14, 2017

DOI: https://doi.org/10.1515/jaiscr-2018-0015

Keywordscomplex-valued neural networks, associative memory, projection

© 2018 Teijiro Isokawa et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
complex-valued neural networks, associative memory, projection