A Synthesis Theory of Stable Equilibrium Solutions for Large Scale Dynamical Neural Networks and Its Application to Associative Memories.
Project/Area Number  07650464 
Research Category 
GrantinAid for Scientific Research (C)

Section  一般 
Research Field 
System engineering

Research Institution  Tokyo Denki University 
Principal Investigator 
INABA Hiroshi Tokyo Denki Univ., Dept.Information Sciences, Professor, 理工学部, 教授 (40057203)

CoInvestigator(Kenkyūbuntansha) 
ITO Naoharu Tokyo Denki Univ., Dept.Inf.Sciences, Instructor, 理工学部, 助手 (90246661)

Project Fiscal Year 
1995 – 1996

Project Status 
Completed(Fiscal Year 1996)

Budget Amount *help 
¥2,300,000 (Direct Cost : ¥2,300,000)
Fiscal Year 1996 : ¥400,000 (Direct Cost : ¥400,000)
Fiscal Year 1995 : ¥1,900,000 (Direct Cost : ¥1,900,000)

Keywords  module neural network / stable equilibrium solution / associative memory / multimodule network / dynamical system / モジュールニューラルネットワーク / 安定平衡解 / 連想記憶 / マルチモジュールネットワーク / ダイナミカル システム / 動的ニューラルネットワーク / 引き込み領域 / マルチモジュールニューラルネットワーク / 結合係数行列 / しきい値ベクトル / 一般化動的ニューラルネットワーク / システム理論 
Research Abstract 
In this research project, a synthesis theory for dynamical neural networks using the McCulloughPitts model proposed in 1943 as a simple mathematical model for a brain neuron was studied particularly focussing on their stable equilibrium solutions. In particular, having in mind application of neural networks to associative memories, first a dynamical neural network having a special structure, called a module neural network, was introduced to store primitive information, and its basic behaviors were investigated. Then, by connecting a number of such module neural networks a large scale and its equilibrium solutions were studied. The main results obtained are listed below : 1.A method for constructing a module neural network having a given set of vectors as its stable equilibrium solutions, and further a possibility of ajusting the domain of a stable equilibrium solution was discussed. 2.A module dynamical neural network, having a special structure, was introduced, and then a method was proposed for constructing a large scale neural network, called a multimodule neural network, by connecting a number of such module neural networks without changing all the equilibrium solutions of the connectied module neural networks. 3.To avoid the rapid decrease in the ability of associative memories due to the number of information vectors to be stored approaching the dimension of the information vectors, a generalized dynamical neural network was proposed, and its construction method was discussed. 4.A number of computer simulations were performed to evaluate the effectiveness of the theoretical results obtained.

Report
(4results)
Research Output
(9results)