Complex-Valued Associative Memories with Projection and Iterative Learning Rules

Teijiro Isokawa; Hiroki Yamamoto; Haruhiko Nishimura; Takayuki Yumoto; Naotake Kamiura; Nobuyuki Matsui

doi:10.1515/jaiscr-2018-0015

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Complex-Valued Associative Memories with Projection and Iterative Learning Rules

Journal of Artificial Intelligence and Soft Computing Research

Volume 8 (2018): Issue 3 (July 2018)

By: Teijiro Isokawa, Hiroki Yamamoto, Haruhiko Nishimura, Takayuki Yumoto, Naotake Kamiura and Nobuyuki Matsui

Open Access

|Feb 2018

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.

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Articles in this issue

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

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Language: English

Page range: 237 - 249

Submitted on: Oct 16, 2017

Accepted on: Oct 14, 2017

Published on: Feb 9, 2018

Published by: SAN University

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

complex-valued neural networks,

associative memory,

projection

Related subjects:

Computer sciences,

Artificial intelligence,

Databases and data mining

© 2018 Teijiro Isokawa, Hiroki Yamamoto, Haruhiko Nishimura, Takayuki Yumoto, Naotake Kamiura, Nobuyuki Matsui, published by SAN University
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 8 (2018): Issue 3 (July 2018)