Complex-Valued Associative Memories with Projection and Iterative Learning Rules

Author:

Isokawa Teijiro1,Yamamoto Hiroki1,Nishimura Haruhiko2,Yumoto Takayuki1,Kamiura Naotake1,Matsui Nobuyuki1

Affiliation:

1. Graduate School of Engineering , University of Hyogo , 2167 Shosha, Himeji , Hyogo, 671-2280 Japan

2. Graduate School of Applied Informatics , University of Hyogo , 7-1-28 Minatojima-Minami-cho, Chuo-ku, Kobe , Hyogo, 650-0047 Japan

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Hardware and Architecture,Modeling and Simulation,Information Systems

Reference21 articles.

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